============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 17039 was started by veroff on freightliner, Tue Jul 14 14:55:03 2020 The command was "prover9 -f gmf_to_aa1.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file gmf_to_aa1.in assign(order,kbo). set(lex_order_vars). clear(back_demod). set(restrict_denials). set(para_from_small). assign(max_weight,5). formulas(assumptions). 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. x * y = u & x * z = u -> y = z. y * x = u & z * x = u -> y = z. x * y = x * z -> y = z. y * x = z * x -> y = z. x != y | z * x = z * y. x != y | x * z = y * z. (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). (x * y) \ (y * x) = K(y,x) # label("commutator"). (y * x) \ (y * (x * u)) = L(u,x,y). ((u * x) * y) / (x * y) = R(u,x,y). x \ (u * x) = T(u,x). a(x,y,z) = 1 -> L(z,y,x) = z. L(x,y,z) = x -> a(z,y,x) = 1. T(x,y) = x -> T(y,x) = y. T(x,y) = x -> K(x,y) = 1. K(x,y) = 1 -> T(x,y) = x. T(T(u,x),y) = T(T(u,y),x). T(L(u,x,y),z) = L(T(u,z),x,y). T(R(u,x,y),z) = R(T(u,z),x,y). L(R(u,x,y),z,w) = R(L(u,z,w),x,y). L(L(u,x,y),z,w) = L(L(u,z,w),x,y). R(R(u,x,y),z,w) = R(R(u,z,w),x,y). ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). x * ((y * x) \ 1) = y \ 1 # label("WIP"). end_of_list. formulas(goals). a(a(x,y,z),u,w) = 1 # label("aa1"). end_of_list. formulas(hints). a(a(x,y,z),u,w) = 1. 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. x * y != z | x * u != z | u = y. x * y != z | u * y != z | u = x. x * y != x * z | y = z. x * y != z * y | x = z. x != y | z * x = z * y. x != y | x * z = y * z. (x * (y * z)) \ ((x * y) * z) = a(x,y,z). a(x,y,z) = (x * (y * z)) \ ((x * y) * z). (x * y) \ (y * x) = K(y,x). K(x,y) = (y * x) \ (x * y). (x * y) \ (x * (y * z)) = L(z,y,x). L(x,y,z) = (z * y) \ (z * (y * x)). ((x * y) * z) / (y * z) = R(x,y,z). R(x,y,z) = ((x * y) * z) / (y * z). x \ (y * x) = T(y,x). T(x,y) = y \ (x * y). a(x,y,z) != 1 | L(z,y,x) = z. L(x,y,z) != x | a(z,y,x) = 1. T(x,y) != x | T(y,x) = y. T(x,y) != x | K(x,y) = 1. K(x,y) != 1 | T(x,y) = x. T(T(x,y),z) = T(T(x,z),y). T(L(x,y,z),u) = L(T(x,u),y,z). L(T(x,y),z,u) = T(L(x,z,u),y). T(R(x,y,z),u) = R(T(x,u),y,z). R(T(x,y),z,u) = T(R(x,z,u),y). L(R(x,y,z),u,w) = R(L(x,u,w),y,z). R(L(x,y,z),u,w) = L(R(x,u,w),y,z). L(L(x,y,z),u,w) = L(L(x,u,w),y,z). R(R(x,y,z),u,w) = R(R(x,u,w),y,z). ((1 / x) \ y) * (z * x) = x * ((y * z) * x). x * ((y * x) \ 1) = y \ 1. a(a(c1,c2,c3),c4,c5) != 1. 1 \ x = x. x \ (1 * (x * y)) = y. x \ x = 1. x \ (x * (y \ (y * z))) = z. (x * (x \ 1)) * y = y. x * (x \ (1 * y)) = y. x * (y * (y \ 1)) = x. x \ (y * (y \ (x * z))) = z. x * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. (x \ (x * (y / z))) * z = y. ((x * (x \ y)) / z) * z = y. (((x * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. x != y | 1 * z != y | z = x. x != y | x * z != y | z = 1. x != y | x * z != y | 1 = z. x != y | z * u != y | u = z \ x. x != y | z * u != y | z \ x = u. x != y | z * u != y | z = x / u. x != y | z * u != y | x / u = z. x != 1 * y | x = y. 1 * x != y | y = x. 1 * x != y | x = y. x * y != (x * z) * 1 | y = z. (x * y) * 1 != x * z | z = y. x != y * z | y \ x = z. x * y != z | x \ z = y. x * y != z * (z \ (x * u)) | y = u. x * (x \ (y * z)) != y * u | u = z. x != y * 1 | x = y. x * 1 != y | y = x. x * 1 != y | x = y. x * y != z \ (z * (u * y)) | x = u. x \ (x * (y * z)) != u * z | u = y. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. x * (y * (y \ z)) = x * z. ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. (x * (y * z)) * a(x,y,z) = (x * y) * z. a(x,x \ y,z) = (x * ((x \ y) * z)) \ (y * z). (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). a(x,y,(x * y) \ z) = (x * (y * ((x * y) \ z))) \ z. (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). (x * y) * K(y,x) = y * x. K(x \ y,x) = y \ ((x \ y) * x). x \ ((y \ x) * y) = K(y \ x,y). K(x,x \ y) = ((x \ y) * x) \ y. ((x \ y) * x) \ y = K(x,x \ y). K(x,y / x) = y \ (x * (y / x)). x \ (y * (x / y)) = K(y,x / y). K(x / y,y) = (y * (x / y)) \ x. (x * (y / x)) \ y = K(y / x,x). L(x,y,1) = y \ (1 * (y * x)). x \ (1 * (x * y)) = L(y,x,1). L(x,1,y) = (y * 1) \ (y * x). (x * 1) \ (x * y) = L(y,1,x). L(1,x,y) = (y * x) \ (y * x). (x * y) \ (x * y) = L(1,y,x). (x * y) * L(z,y,x) = x * (y * z). L(x,y \ z,y) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). L(x \ y,x,z) = (z * x) \ (z * y). L(x,y,z / y) = z \ ((z / y) * (y * x)). x \ ((x / y) * (y * z)) = L(z,y,x / y). L(x,y / x,z) = (z * (y / x)) \ (z * y). R(x,1,y) = ((x * 1) * y) / y. ((x * 1) * y) / y = R(x,1,y). R(x,y,1) = (x * y) / (y * 1). (x * y) / (y * 1) = R(x,y,1). R(x,x \ y,z) = (y * z) / ((x \ y) * z). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). R(x,y,z) * (y * z) = (x * y) * z. R(x / y,y,z) = (x * z) / (y * z). R(x,y / z,z) = ((x * (y / z)) * z) / y. ((x * (y / z)) * z) / y = R(x,y / z,z). T(x,x) = x. x * T(y,x) = y * x. T(x,x \ y) = (x \ y) \ y. T(x / y,y) = y \ x. T(T(T(x,y),z),u) = T(T(T(x,z),u),y). T(T(T(x,y),z),u) = T(T(T(x,u),y),z). T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). x * y != z | x = z / y. (1 / x) \ y = (x * ((y * z) * x)) / (z * x). (x * ((y * z) * x)) / (z * x) = (1 / x) \ y. ((1 / x) \ y) * x = x * ((y * 1) * x). x * (y * z) = z * ((((1 / z) * x) * y) * z). x * ((((1 / x) * y) * z) * x) = y * (z * x). ((1 / x) \ y) * z = x * ((y * (z / x)) * x). x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. x * y != z | y = x \ z. (x * y) \ 1 = y \ (x \ 1). (x \ y) * (y \ 1) = x \ 1. x * (y \ 1) = (y / x) \ 1. (x / y) \ 1 = y * (x \ 1). (x * (x \ 1)) \ y = y. T(x,1) = x * 1. K(x,x) = 1. x / (y * (y \ 1)) = x. x / ((1 / y) * y) = x. T(x,y) = T(T(x,y),x). T(T(x,y),x) = T(x,y). L(x,y,z) = T(L(x,y,z),x). T(L(x,y,z),x) = L(x,y,z). (x / (y \ x)) * z = y * z. ((x * y) * z) / a(x,y,z) = x * (y * z). (x * y) / K(x,y) = y * x. (x * (y * z)) / L(z,y,x) = x * y. (x * y) / T(x,y) = y. (x \ y) * (z * (x \ 1)) = (x \ 1) * ((y * z) * (x \ 1)). (x \ 1) * ((y * z) * (x \ 1)) = (x \ y) * (z * (x \ 1)). x / (y / ((z \ x) \ y)) = z. ((x / y) \ x) * z = y * z. x * ((y / (x \ z)) \ y) = z. R(x,y,z) \ ((x * y) * z) = y * z. ((x / (y / z)) \ x) \ y = z. x = T(x,1). T(x,1) = x. K(x,1) = 1. T(1,x) = 1. K(1,x) = 1. (x * (x \ 1)) * y != z | y = z. ((1 / x) * x) * y != z | y = z. x * (y * (y \ 1)) != z | z = x. T(x,1) != y | y = x. x * ((1 / y) * y) != z | x = z. x * (y \ y) != z | x = z. R(x,x \ 1,y) = y / ((x \ 1) * y). L(x \ 1,x,y) = (y * x) \ y. R(1 / x,x,y) = y / (x * y). a(x,1 / y,y) = x \ ((x * (1 / y)) * y). x \ ((x * (1 / y)) * y) = a(x,1 / y,y). L(x,1 / x,y) = (y * (1 / x)) \ y. x * y != ((x * z) / u) * u | y = z. T((x * y) / x,x) = y. x = (y * T(x,y)) / y. (x * T(y,x)) / x = y. x = y \ (x * T(y,x)). x \ (y * T(x,y)) = y. (x \ y) * T(x,x \ y) = y. x * (y * (y \ T(z,x))) = z * x. x * T(y / x,x) = y. x * y != z | y * u != z | u = T(x,y). x * y != z | y * u != z | T(x,y) = u. x * y != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. x * y != z * T(x,z) | y = z. x * T(y,x) != y * z | z = x. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. a(x,y,T(z,y)) = (x * (z * y)) \ ((x * y) * T(z,y)). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). a(x,T(y,x),z) = (x * (T(y,x) * z)) \ ((y * x) * z). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). L(x,T(y,z),z) = (y * z) \ (z * (T(y,z) * x)). (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). L(T(x,y),y,z) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = L(T(z,y),y,x). R(x,y,T(z,y)) = ((x * y) * T(z,y)) / (z * y). ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). x * T(T(y,x),z) = T(y,z) * x. x * L(T(y,x),z,u) = L(y,z,u) * x. x * R(T(y,x),z,u) = R(y,z,u) * x. T(x \ y,z) = T(T(y / x,z),x). T(T(x / y,z),y) = T(y \ x,z). L(x \ y,z,u) = T(L(y / x,z,u),x). T(L(x / y,z,u),y) = L(y \ x,z,u). R(x \ y,z,u) = T(R(y / x,z,u),x). T(R(x / y,z,u),y) = R(y \ x,z,u). T(x / (x / y),x / y) = y. K(x \ 1,x) = (x \ 1) * x. L(x,y \ 1,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x \ 1,x). R(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,y \ 1). R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). T(x,T(x,y)) = x. x * T(x,y) = T(x,y) * x. T(x,y) * x = x * T(x,y). T(x,y) = T(T(x,y),T(x,z)). T(T(x,y),T(x,z)) = T(x,y). T(x / y,y \ x) = x / y. x / T(y,y \ x) = y \ x. T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,z). T((x * y) / x,y) = (x * y) / x. (x * T(T(y,x),z)) / x = T(y,z). L(x,y,z) \ (u * L(T(x,u),y,z)) = u. x != y * z | T(x / y,y) = z. x * y != z | T(z / x,x) = y. x * y != z | y \ z = T(x,y). x * y != z | T(x,y) = y \ z. x \ x != y | 1 = y. x \ (y * (y \ x)) = 1. (x / y) \ (z * (z \ x)) = y. x * 1 = y * (y \ x). x * (x \ y) = y * 1. x * 1 != y * z | y \ x = z. (x / y) * y = x * 1. x * (x \ y) != z | z = y. x * 1 != y * z | x / z = y. (x / y) * y != z | z = x. x * (x \ y) = (y / z) * z. (x / y) * y = z * (z \ x). (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. (x * (x \ 1)) \ y != z | z = y. ((1 / x) * x) \ y != z | z = y. x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. x / 1 != y | y = x. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. x / (y * (y \ 1)) != z | z = x. L(x \ (y \ z),x,y) = (y * x) \ z. ((x * (x \ y)) / z) \ y = z. (x / y) * y = 1 * x. (1 * x) / y = x / y. ((1 * x) / y) \ x = y. ((x / y) * y) / z = x / z. (((x / y) * y) / z) \ x = z. R((x / y) / z,z,y) = x / (z * y). x != y | z != y | z = x. x != y | x = (z / y) \ z. x * (x \ y) = (z / y) \ z. (x / y) \ x = z * (z \ y). x != y | x = z / (y \ z). (x / y) * y = z / (x \ z). x / (y \ x) = (y / z) * z. (x * y) / y = z / (x \ z). x * (x \ y) = z / (y \ z). x / (y \ x) = z * (z \ y). x != y | x = (y / z) * z. (x * y) / y = (x / z) * z. x != y | x = z * (z \ y). x \ (x * y) = z * (z \ y). (x / (y * (y \ z))) * z = x. K(x,1 / x) = x * (1 / x). x != (y * (y \ z)) * u | x = z * u. (x \ y) * x = y * K(x \ y,x). x * K(y \ x,y) = (y \ x) * y. x != ((y / z) * z) * u | x = y * u. x * (y / x) = y * K(x,y / x). x * K(y,x / y) = y * (x / y). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. L(x,K(y,z),z * y) = (y * z) \ ((z * y) * (K(y,z) * x)). (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). L(K(x,y),y * x,z) = (z * (y * x)) \ (z * (x * y)). (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). R(x,y,K(y,x)) = (y * x) / (y * K(y,x)). (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). (x * y) / T(y * x,K(x,y)) = K(x,y). T(x,x \ y) * z = ((x \ y) \ y) * z. x * T(y,y \ z) = x * ((y \ z) \ z). (x \ y) \ y = z * (z \ T(x,x \ y)). L((x \ y) \ y,z,u) = T(L(x,z,u),x \ y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). (x * y) * (y \ (x \ 1)) = 1. x \ 1 = (y \ x) \ (y \ 1). (x \ y) \ (x \ 1) = y \ 1. ((1 / x) * y) \ 1 = y \ x. (x * y) \ 1 = T(x,y) \ (y \ 1). T(x,y) \ (y \ 1) = (x * y) \ 1. T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. (x \ 1) / (y \ 1) = x \ y. x \ 1 != y * (z \ 1) | x \ z = y. a(x,y,z) * (((x * y) * z) \ 1) = (x * (y * z)) \ 1. (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. 1 / ((x \ y) * (y \ 1)) = x. (x \ (1 / y)) * y = x \ 1. (x \ 1) \ 1 = (y \ 1) \ ((x \ y) \ 1). (x \ 1) \ ((y \ x) \ 1) = (y \ 1) \ 1. (x / y) * (y * (x \ 1)) = 1. R(x,y,z) \ 1 = (y * z) * (((x * y) * z) \ 1). (x * y) * (((z * x) * y) \ 1) = R(z,x,y) \ 1. 1 / (x * (y \ 1)) = y / x. T(x,L(x,y,z)) = x. x * L(x,y,z) = L(x,y,z) * x. L(x,y,z) * x = x * L(x,y,z). x != y * (y \ z) | x = z. ((x / y) \ x) * (y \ z) = z. x * (((y / x) \ y) \ z) = z. (x / y) * ((z / y) \ z) = x. x != (y \ x) * z | T(y,y \ x) = z. (x \ y) * z != y | T(x,x \ y) = z. T(x / (x / y),(z / (x / y)) \ z) = y. x != y * z | x = z * T(y,z). K(x \ 1,x) = x * T(x \ 1,x). x * T(x \ 1,x) = K(x \ 1,x). K(x \ 1,x) / x = x \ 1. (x \ 1) \ K(x \ 1,x) = x. T(x,y) * z != x * T(x,y) | z = x. (x \ y) * (y / x) = (y / x) * (x \ y). (x / y) * (y \ x) = (y \ x) * (x / y). x * y != z * (z \ u) | x = u / y. z * (z \ u) != x * y | x = u / y. x * (x \ y) != z * u | y / u = z. x * ((y / (z \ u)) \ y) != u | x = z. x / (y \ ((x / z) * z)) = y. (x / y) * y != z * u | z \ x = u. (x \ y) * z != x \ 1 | z = y \ 1. ((1 / x) \ y) \ x = y \ 1. (x / y) \ x != z * u | z \ y = u. (x / y) \ x != z | z = y. x \ (x * y) != z | z = y. x \ (y * x) != z | z = T(y,x). x \ (y * x) != z | T(y,x) = z. (x * y) \ (y * x) != z | z = K(y,x). (x * y) \ (y * x) != z | K(y,x) = z. (x \ y) \ y != z | z = T(x,x \ y). (x \ y) \ y != z | T(x,x \ y) = z. T(x,x) != y | y = x. x \ (y \ 1) != z | z = (y * x) \ 1. x \ (y \ 1) != z | (y * x) \ 1 = z. T((x * y) / x,x) != z | z = y. (x \ y) \ (x \ 1) != z | z = y \ 1. (x \ y) \ (x \ 1) != z | y \ 1 = z. x / (y \ x) != z | z = y. (x * y) / y != z | z = x. ((x * y) * z) / a(x,y,z) != u | u = x * (y * z). ((x * y) * z) / a(x,y,z) != u | x * (y * z) = u. (x * (y * z)) / L(z,y,x) != u | u = x * y. (x * (y * z)) / L(z,y,x) != u | x * y = u. x / x != y | y = 1. x / x != y | 1 = y. (x * T(y,x)) / x != z | z = y. 1 / (x * (y \ 1)) != z | z = y / x. 1 / (x * (y \ 1)) != z | y / x = z. (1 * x) / y != z | z = x / y. (1 * x) / y != z | x / y = z. (x \ 1) / (y \ 1) != z | z = x \ y. (x \ 1) / (y \ 1) != z | x \ y = z. (x / (y \ x)) * z != u | u = y * z. (x / (y \ x)) * z != u | y * z = u. x / (y \ x) != z * u | z \ y = u. (x * (x \ y)) \ z = y \ z. (x * y) / y != z * u | x / u = z. ((x / y) * y) * z != u | u = x * z. ((x / y) * y) * z != u | x * z = u. x \ (x * y) != z * u | z \ y = u. x * (y * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. R(x,y,y \ z) * z = (x * y) * (y \ z). L(x,1 / y,y) = K(y,1 / y) \ (y * ((1 / y) * x)). K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). (x * y) \ 1 != z | z = y \ (x \ 1). (x * y) \ 1 != z | y \ (x \ 1) = z. (x \ y) * (y \ 1) != z | z = x \ 1. (x \ y) * (y \ 1) != z | x \ 1 = z. 1 / (x \ y) = (1 / y) * x. (((1 / x) * y) * z) \ 1 = z \ (y \ x). (x \ ((1 / y) * z)) * (z \ y) = x \ 1. 1 / (x \ y) != z | z = (1 / y) * x. 1 / (x \ y) != z | (1 / y) * x = z. x / (y \ 1) = (1 / x) \ y. (x \ 1) / y = x \ (1 / y). x != (y / z) \ 1 | x = z * (y \ 1). ((x / y) \ (1 / z)) * z = y * (x \ 1). x * ((y \ 1) \ 1) = (y \ (1 / x)) \ 1. (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). (x \ 1) / y != z | z = x \ (1 / y). (x \ 1) / y != z | x \ (1 / y) = z. R(x,y / z,z * (y \ 1)) = ((x * (y / z)) * (z * (y \ 1))) / 1. ((x * (y / z)) * (z * (y \ 1))) / 1 = R(x,y / z,z * (y \ 1)). ((1 / (x * (y \ 1))) \ z) * 1 = (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))). (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = ((1 / (x * (y \ 1))) \ z) * 1. (x / y) \ 1 != z | z = y * (x \ 1). (x / y) \ 1 != z | y * (x \ 1) = z. 1 / (x * y) = (1 / y) / x. (1 / x) / y = 1 / (y * x). 1 / (x * (y \ (z \ 1))) = (z * y) / x. 1 / (x * (y * (z \ 1))) = (z / y) / x. 1 / (x * (y \ z)) = ((1 / z) * y) / x. ((1 / x) * y) / z = 1 / (z * (y \ x)). ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. (x \ 1) * x != y | y = K(x \ 1,x). (x \ 1) * x != y | K(x \ 1,x) = y. x != (y * z) \ 1 | x = z \ (y \ 1). ((1 / x) \ (y * z)) \ x = z \ (y \ 1). (x \ 1) * (y \ 1) = ((1 / y) \ x) \ 1. ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). x / (y \ 1) != z | z = (1 / x) \ y. x / (y \ 1) != z | (1 / x) \ y = z. 1 / x = (1 / (y * x)) * y. (1 / (x * y)) * x = 1 / y. 1 / T(x,y) = (1 / (x * y)) * y. (1 / (x * y)) * y = 1 / T(x,y). 1 / x = (1 / y) * (y / x). (1 / x) * (x / y) = 1 / y. ((1 / x) * y) \ 1 != z | z = y \ x. ((1 / x) * y) \ 1 != z | y \ x = z. x / y = (1 / x) \ (1 / y). (1 / x) \ (1 / y) = x / y. x / (y \ (z \ 1)) = (1 / x) \ (z * y). x / (y * (z \ 1)) = (1 / x) \ (z / y). x / (y \ z) = (1 / x) \ ((1 / z) * y). (1 / x) \ ((1 / y) * z) = x / (z \ y). (x \ (y \ 1)) / z = (y * x) \ (1 / z). (x \ y) / z = ((1 / y) * x) \ (1 / z). ((1 / x) * y) \ (1 / z) = (y \ x) / z. x != y / (z \ 1) | x = (1 / y) \ z. 1 / ((x \ 1) * y) = (1 / (1 / y)) \ x. T(1 / (x * y),x) = x \ (1 / y). (1 / (x * y)) * x != z | z = 1 / y. (1 / (x * y)) * x != z | 1 / y = z. (1 / x) / y != z | z = 1 / (y * x). (1 / x) / y != z | 1 / (y * x) = z. (1 / x) \ (1 / y) != z | z = x / y. (1 / x) \ (1 / y) != z | x / y = z. (1 / (1 / x)) * (1 / y) = 1 / (y / x). (x / y) * (z * x) = x * (((1 / y) * z) * x). x * (((1 / y) * z) * x) = (x / y) * (z * x). x * y != x * z | z = y. x != y \ (1 * (y * z)) | x = z. L(x,y,1) = x. x != y | x = y / 1. L(x,y,1) = x / 1. L(x,y,1) != z | z = x. x \ (x * y) = L(y,1,x). L(x,1,y) = x. L(x,1,y) != z | z = x. 1 = L(1,x,y). L(1,x,y) = 1. a(x,y,1) = 1. a(x,y,K(z,z)) = 1. (x * y) / y = R(x,1,y). R(x,1,y) = x. (x * y) / y = R(x,y,1). R(x,y,1) = x. R(x,y,1) != z | z = x. x != (y * (y \ z)) \ u | x = z \ u. L((x \ y) \ 1,x \ y,x) = y \ x. L(x \ 1,x,y) * z = ((y * x) \ y) * z. x * L(y \ 1,y,z) = x * ((z * y) \ z). (x * y) * L(y \ 1,y,x) = x. L(x \ 1,x,y / x) = y \ (y / x). L(T(x \ 1,y),x,z) = T((z * x) \ z,y). T((x * y) \ x,z) = L(T(y \ 1,z),y,x). R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). x / L(y \ 1,y,x) = x * y. R(1 / x,x,y) * z = (y / (x * y)) * z. R(1 / x,x,x \ y) = (x \ y) / y. R(1 / (x / y),x / y,y) = y / x. R(T(1 / x,y),x,z) = T(z / (x * z),y). T(x / (y * x),z) = R(T(1 / y,z),y,x). R(1 / x,x,y) \ y = x * y. T(x,y) * z != x * y | T(y,T(x,y)) = z. x * T(T(y,x),z) != u * x | u = T(y,z). x * T(T(y,x),z) != u * x | T(y,z) = u. x * (x \ y) != z * u | z \ y = u. (x / y) * y != z * u | x / u = z. x * T(T(y,x),z) != u | T(y,z) * x = u. x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. L(x,y,z) * x != u | x * L(x,y,z) = u. L(x,y \ 1,y) != z | z = y * ((y \ 1) * x). L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. L(x \ 1,x,1 / x) = 1 / x. L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). K(x,1 / x) != y | y = x * (1 / x). K(x,1 / x) != y | x * (1 / x) = y. L(x,y,1 / y) != z | z = (1 / y) * (y * x). L(x,y,1 / y) != z | (1 / y) * (y * x) = z. R(x,y,y \ 1) != z | z = (x * y) * (y \ 1). R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. (x \ 1) \ (y \ 1) != z | T(y \ x,x \ 1) = z. x \ (y \ 1) != z | T(y \ (1 / x),x) = z. T(x / y,y) != z | z = y \ x. T(x / y,y) != z | y \ x = z. ((x / y) * y) / z != u | x / z = u. (x * y) \ x != z | z = L(y \ 1,y,x). (x * y) \ x != z | L(y \ 1,y,x) = z. x / L(y,1 / y,x) = x * (1 / y). ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. R(x,x \ 1,y) \ y = (x \ 1) * y. x / (y * x) != z | z = R(1 / y,y,x). x / (y * x) != z | R(1 / y,y,x) = z. T(x,x \ y) != z | (x \ y) \ y = z. T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. x * y != (z \ u) \ u | x \ T(z,z \ u) = y. x \ T(y,y \ z) = x \ ((y \ z) \ z). x * y != (z * u) \ (z * (u * w)) | x \ L(w,u,z) = y. x \ L(y,x \ 1,x) = (x \ 1) * y. x != y | z * u != y | u \ x = T(z,u). x != y | z * u != y | T(z,u) = u \ x. x * y != ((z * u) * w) / (u * w) | R(z,u,w) / y = x. R(x,y,y \ 1) / (y \ 1) = x * y. (x * y) \ ((x \ (x * y)) * x) = K(y,x). K(x,y) = (y * x) \ ((y \ (y * x)) * y). x \ (y * T(y \ x,y)) = K(y \ x,y). x * K(x,x \ 1) = (x \ 1) \ 1. K(x \ 1,x) \ 1 = K(x,x \ 1). L(x \ T(y,z),x,z) = (z * x) \ (y * z). x * T(x \ (y * x),z) = T(y,z) * x. x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. x * T(x \ y,z) = T(y / x,z) * x. T(x / y,z) * y = y * T(y \ x,z). x * T(y,z) = T((x * y) / x,z) * x. T((x * y) / x,z) * x = x * T(y,z). (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). (x * T(x \ y,z)) / x = T(y / x,z). (x * T(y,z)) / x = T((x * y) / x,z). T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). T(x,(y * x) / y) = x. T(x,y) * z != u | u = z * T(T(x,z),y). T(x,y) * z != u | z * T(T(x,z),y) = u. T(T(x,y),z) != u | u = T(T(x,z),y). T(T(x,y),z) != u | T(T(x,z),y) = u. (x \ y) * x != y * z | K(x \ y,x) = z. L(K(x \ y,x),y,z) = (z * y) \ (z * ((x \ y) * x)). (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). x \ ((y \ x) * y) != z | z = K(y \ x,y). x \ ((y \ x) * y) != z | K(y \ x,y) = z. K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. x \ (y * (x / y)) != z | z = K(y,x / y). x \ (y * (x / y)) != z | K(y,x / y) = z. T(x,y) \ (y \ 1) = y \ (x \ 1). x \ (L(x,y,z) \ 1) = (x * L(x,y,z)) \ 1. (x * L(x,y,z)) \ 1 = x \ (L(x,y,z) \ 1). x * (y \ 1) = 1 / T(x \ y,y \ 1). 1 / T(x \ y,y \ 1) = x * (y \ 1). x != (y \ z) \ z | x = T(y,y \ z). x * K(x,x \ 1) = T(x,x \ 1). (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. x \ ((x \ 1) \ 1) != y | y = K(x,x \ 1). x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. x * y != K(z \ 1,z) \ 1 | x \ K(z,z \ 1) = y. x \ K(y,y \ 1) = (K(y \ 1,y) * x) \ 1. (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). T(T(x,y),z) \ (y \ 1) = y \ (T(x,z) \ 1). (x * y) * L(z,y,x) != x * u | u = y * z. (x * y) * L(z,y,x) != x * u | y * z = u. x * y != z * u | u = z \ (x * y). x * y != z * u | z \ (x * y) = u. x \ (x * y) != z * u | z = y / u. x \ (x * y) != z * u | y / u = z. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / L(z \ y,z,x) = x * z. x * y != z * (u * (u \ (z \ (x * w)))) | y = w. L(x \ (y \ ((y * x) * z)),x,y) = z. x * ((x \ y) * z) = y * L(z,x \ y,x). x * L(y,z \ x,z) = z * ((z \ x) * y). (x / y) * (y * z) = x * L(z,y,x / y). x * L(y,z,x / z) = (x / z) * (z * y). x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). x * (y * z) != (x * y) * u | L(z,y,x) = u. (x * y) * z != x * (y * u) | L(u,y,x) = z. L(x,L(y,z,u),u * z) = (u * (z * y)) \ ((u * z) * (L(y,z,u) * x)). (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). R(x * y,L(z,y,x),u) = ((x * (y * z)) * u) / (L(z,y,x) * u). ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). (x * y) \ (x * (y * z)) != u | u = L(z,y,x). (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. (1 / x) * (x * y) != z | L(y,x,1 / x) = z. T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). L((x \ y) \ z,x \ y,x) = y \ (x * z). x != (y * (y \ 1)) \ z | x = z. L((x \ 1) \ y,x \ 1,x) = x * y. L(x \ y,x,1 / x) = (1 / x) * y. L(x \ y,x,z / x) = z \ ((z / x) * y). L(x \ y,x,z / y) = ((z / y) * x) \ z. L(a(x,y,z),x * (y * z),u) = (u * (x * (y * z))) \ (u * ((x * y) * z)). (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). L(T(x \ y,z),x,u) = T((u * x) \ (u * y),z). T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). L(x \ (y / z),x,1 / y) = ((1 / y) * x) \ (1 / z). L((x \ 1) \ y,x \ 1,x) != z | z = x * y. L((x \ 1) \ y,x \ 1,x) != z | x * y = z. L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). x * y != (z * (z \ u)) * w | x \ (u * w) = y. R(x,x \ y,z) \ (y * z) = (x \ y) * z. x * y != ((z / u) * u) * w | x \ (z * w) = y. R(x / y,y,z) \ (x * z) = y * z. x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). R(x,y / z,z) * y = (x * (y / z)) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. K(x * y,R(z,x,y)) = ((z * x) * y) \ ((x * y) * R(z,x,y)). ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). R(R(x,y,z),y * z,u) = (((x * y) * z) * u) / ((y * z) * u). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). R(x,R(y,z,u),z * u) = ((x * R(y,z,u)) * (z * u)) / ((y * z) * u). ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. ((x * y) * z) / (y * z) != u | u = R(x,y,z). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. (R(x,y,z) * (y * z)) / z != u | u = x * y. (R(x,y,z) * (y * z)) / z != u | x * y = u. (x * y) * (y \ 1) != z | z = R(x,y,y \ 1). (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). x != y / ((1 / z) * z) | x = y. R(x / (1 / y),1 / y,y) = x * y. x != y / (z * (z \ 1)) | x = y. R(x / y,y,y \ 1) = x * (y \ 1). R(x / y,y,x \ z) = z / (y * (x \ z)). R(x / (y / z),y / z,z) = (x * z) / y. T(R(x / y,y,z),y * z) = (y * z) \ (x * z). R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). R(x / y,y,x \ z) \ z = y * (x \ z). R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). (x * y) / L(z,y / z,x) = x * (y / z). (x * (y * z)) / L(T(y,z),z,x) = x * z. (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. R(x,x \ 1,x) = x / K(x \ 1,x). x / K(x \ 1,x) = R(x,x \ 1,x). L(x,1 / x,x) = K(x,1 / x) \ x. K(x,1 / x) \ x = L(x,1 / x,x). x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y. x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). x * y != L(R(z,u,w),v5,v6) | x \ R(L(z,v5,v6),u,w) = y. x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). x * y != L(T(z,u),w,v5) | x \ T(L(z,w,v5),u) = y. x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). x * (y * (x \ 1)) = L(T(y,x \ 1),x \ 1,x). L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). x * y != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) / y = x. L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. x * y != R(R(z,u,w),v5,v6) | R(R(z,v5,v6),u,w) / y = x. R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). x * y != R(T(z,u),w,v5) | T(R(z,w,v5),u) / y = x. T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). R((x * y) \ z,u,w) = L(R(y \ (x \ z),u,w),y,x). L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. x * (y * (y \ z)) != u * w | (x * z) / w = u. ((x / y) * y) * z != u * w | u \ (x * z) = w. (x * y) / y != z * u | z \ x = u. (x \ y) * (y \ 1) != z * u | z \ (x \ 1) = u. R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. 1 / (x * y) != z | (1 / y) / x = z. (x * (x \ y)) * z != u | y * z = u. (x * T(y,x)) / x != z * u | z \ y = u. (((x * y) / z) * z) / y != u * w | x / w = u. x \ (y * (y \ (x * z))) != u * w | u \ z = w. x \ 1 != y | (z \ x) \ (z \ 1) = y. (x \ 1) * ((y \ 1) \ 1) != z | (y \ x) \ 1 = z. (x \ (y \ 1)) / z != u | (y * x) \ (1 / z) = u. (x * (y \ 1)) / z != u | (y / x) \ (1 / z) = u. (x \ y) \ 1 != z | (y \ 1) * ((x \ 1) \ 1) = z. x / (y \ (z \ 1)) != u | (1 / x) \ (z * y) = u. x / (y * (z \ 1)) != u | (1 / x) \ (z / y) = u. (1 / x) * y != z | 1 / (y \ x) = z. ((1 / x) * y) / z != u | 1 / (z * (y \ x)) = u. (1 / x) \ y != z | x / (y \ 1) = z. ((1 / x) * y) \ (1 / z) != u | (y \ x) / z = u. (1 / x) \ ((1 / y) * z) != u | x / (z \ y) = u. L(T(x \ 1,y),x,z / x) = T(z \ (z / x),y). T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). R(T(1 / x,y),x,x \ z) = T((x \ z) / z,y). T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). x * (y * (y \ (x \ z))) != u * w | u \ z = w. x * (y * (y \ z)) != u * w | u \ (x * z) = w. (((x / y) / z) * z) * y != u * w | x / w = u. ((x / y) * y) * z != u * w | (x * z) / w = u. (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). (1 / x) * (y * x) = L(T(y,x),x,1 / x). L(T(x,y),y,1 / y) = (1 / y) * (x * y). (1 / x) \ L(y,x,1 / x) != z | z = x * y. (1 / x) \ L(y,x,1 / x) != z | x * y = z. R((x / y) / z,z,y) != u | x / (z * y) = u. R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. (x * (x \ y)) * z != u * w | u \ (y * z) = w. (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. x != (y \ 1) * y | x = K(y \ 1,y). ((x \ 1) * y) / L(x \ y,x,x \ 1) = K(x \ 1,x). (x * y) \ (x * z) != u | u = L(y \ z,y,x). (x * y) \ (x * z) != u | L(y \ z,y,x) = u. L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x). L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). L((1 / x) * y,z,u) = L(L(x \ y,z,u),x,1 / x). L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). K(x,1 / x) * L(x,1 / x,x) = x. ((x / y) \ x) * z != u | y * z = u. ((1 / x) \ y) * x = x * (y * x). (x * (y * x)) / x = (1 / x) \ y. T((1 / x) \ y,x) = y * x. (((1 / x) * y) \ z) * (y \ x) = (y \ x) * (z * (y \ x)). (x / y) * x = x * ((1 / y) * x). x * ((1 / y) * x) = (x / y) * x. T(x,y) = ((1 / y) * x) * y. T(x \ y,x \ 1) = y * (x \ 1). T(((1 / x) * y) \ z,y \ x) = z * (y \ x). T(x / (y \ 1),x) = y * x. T(x / y,x) = (1 / y) * x. x * (y * x) != z | ((1 / x) \ y) * x = z. x * y != ((1 / z) * u) * z | T(u,z) / y = x. T(x,y) / y = (1 / y) * x. x * y != T(z,L(z,u,w)) | z / y = x. x / L(x,y,z) = (1 / L(x,y,z)) * x. (1 / L(x,y,z)) * x = x / L(x,y,z). x * y != T(T(z,u),T(z,w)) | T(z,u) / y = x. T(x,y) / T(x,z) = (1 / T(x,z)) * T(x,y). (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). x * y != T(z,T(z,u)) | z / y = x. x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). x * y != T(L(z,u,w),z) | L(z,u,w) / y = x. L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. x * y != T(T(z,u),z) | T(z,u) / y = x. T(x,y) / x = (1 / x) * T(x,y). (1 / x) * T(x,y) = T(x,y) / x. x * y != T(z / u,u) | (u \ z) / y = x. (x \ y) / x = (1 / x) * (y / x). (1 / x) * (y / x) = (x \ y) / x. T(x,y \ 1) = (y * x) * (y \ 1). (x * y) * (x \ 1) = T(y,x \ 1). T(x,x * y) = (1 / y) * (x * y). T((1 / x) \ y,x) != z | y * x = z. x != (1 / y) * z | x = 1 / (z \ y). T(x / y,x) = 1 / (x \ y). T(x / y,x) * z = ((1 / y) * x) * z. T(x / y,x) \ 1 = x \ y. x * T((1 / y) * x,z) = T(x / y,z) * x. T(x / y,x) != z * u | z \ ((1 / y) * x) = u. T(x,y) = T(x / y,x) * y. T(x / y,x) * y = T(x,y). x != (1 / y) * z | x = T(z / y,z). T(x,y) / y = T(x / y,x). T(x / y,x) = T(x,y) / y. x != (y / (z \ y)) * u | x = z * u. T(x,y \ 1) / (y \ 1) = y * x. x * (T(y,z) / z) = x * ((1 / z) * y). T(T((1 / x) * y,z),x) = T(x \ T(y,x),z). T(x / y,x) != z | (1 / y) * x = z. T(x,y) \ 1 = y \ (x \ y). T(x,x * y) * y = T(x * y,y). T(x / y,x) * y != z | z = T(x,y). T(x / y,x) * y != z | T(x,y) = z. x * (T(y,x) \ 1) = y \ x. (x \ y) \ 1 = x \ ((y / x) \ x). x \ ((y / x) \ x) = (x \ y) \ 1. T(x,y) \ 1 = x \ (T(x,y) \ x). x \ (T(x,y) \ x) = T(x,y) \ 1. x * ((x \ y) \ 1) = (y / x) \ x. x * (T(x,y) \ 1) = T(x,y) \ x. T(x,y) * (x \ 1) = x \ T(x,y). x * (y \ 1) = ((x * y) / x) \ x. ((x * y) / x) \ x = x * (y \ 1). x * (L(x,y,z) \ 1) = L(x,y,z) \ x. L(x,y,z) * (x \ 1) = x \ L(x,y,z). T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). x * ((x \ (1 / y)) \ 1) = (1 / (x * y)) \ x. (x * y) / x = (1 / x) \ (y / x). (1 / x) \ (y / x) = (x * y) / x. ((1 / x) \ y) * x != z | z = x * (y * x). ((1 / x) \ y) * x != z | x * (y * x) = z. x * (((1 / y) * z) * x) = (x / (z \ y)) * x. x * (1 / y) = (x / (x * y)) * x. (x / (x * y)) * x = x * (1 / y). T(a(x,y,z),(x * (y * z)) \ 1) = ((x * y) * z) * ((x * (y * z)) \ 1). ((x * y) * z) * ((x * (y * z)) \ 1) = T(a(x,y,z),(x * (y * z)) \ 1). T(L(x,y,z),(z * y) \ 1) = (z * (y * x)) * ((z * y) \ 1). (x * (y * z)) * ((x * y) \ 1) = T(L(z,y,x),(x * y) \ 1). T(T(x,y),y \ 1) = (x * y) * (y \ 1). x * (1 / x) = T(x,1 / x) / x. T(x,1 / x) / x = x * (1 / x). T(1 / x,T(x,y)) = T(x,y) \ (T(x,y) / x). T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. x != T(L(y,z,u),y) | x = L(y,z,u). (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). T(x * y,x \ 1) = (x \ 1) \ T(y,x \ 1). (x \ 1) \ T(y,x \ 1) = T(x * y,x \ 1). x * y != T((z * u) / z,u) | ((z * u) / z) / y = x. ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). 1 / T(x,y \ 1) = y / (y * x). T(x \ y,x \ 1) != z | y * (x \ 1) = z. (1 / T(x,y \ 1)) \ y = y * x. (x * y) * (x \ 1) != z | z = T(y,x \ 1). (x * y) * (x \ 1) != z | T(y,x \ 1) = z. x * ((x \ y) \ 1) != z | z = (y / x) \ x. x * ((x \ y) \ 1) != z | (y / x) \ x = z. x != y * (z \ 1) | x = T(z \ y,z \ 1). x \ T(x,y) = T(x \ T(x,y),x \ 1). T(x \ T(x,y),x \ 1) = x \ T(x,y). (x \ T(x,y)) \ 1 = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. x / (x * (y \ 1)) = (x * y) / x. (x * (1 / y)) / x = x / (x * y). (x * (1 / y)) / x != z * u | z \ (x / (x * y)) = u. x != y * (1 / y) | x = K(y,1 / y). T(x,1 / x) / x = K(x,1 / x). (1 / x) \ (y / (y * z)) != u | x / T(z,y \ 1) = u. (1 / T(x,y \ (z \ 1))) \ (z * y) = (z * y) * x. (x \ 1) \ x = x * x. (x \ y) \ ((1 / y) * x) = ((1 / y) * x) * ((1 / y) * x). ((1 / x) * y) * ((1 / x) * y) = (y \ x) \ ((1 / x) * y). ((x * y) / x) \ x != z | z = x * (y \ 1). ((x * y) / x) \ x != z | x * (y \ 1) = z. x / (x * (y \ z)) = (x * ((1 / z) * y)) / x. (x * ((1 / y) * z)) / x = x / (x * (z \ y)). ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. T(x / y,(z / y) \ z) = y \ x. (x * y) * z != (u * x) * L(y,x,u) | T(u,x * y) = z. T((x * y) / x,x * y) = L(y,x,(x * y) / x). x != (y * z) * L(u,z,y) | x = y * (z * u). L(x,y,z) * (z * y) = z * (y * T(x,z * y)). x * (y * T(z,x * y)) = L(z,y,x) * (x * y). x * L(x \ (y * x),z,u) = L(y,z,u) * x. x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. x * L(x \ y,z,u) = L(y / x,z,u) * x. L(x / y,z,u) * y = y * L(y \ x,z,u). x * L(T(x,y),z,u) = L(T(x,y),z,u) * x. L(T(x,y),z,u) * x = x * L(T(x,y),z,u). x * L(y,z,u) = L((x * y) / x,z,u) * x. L((x * y) / x,z,u) * x = x * L(y,z,u). (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). x != R(y,z,u) * (z * u) | x = (y * z) * u. (x * y) * R(T(z,x * y),x,y) = (z * x) * y. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. x * R(x,y,z) = R(x,y,z) * x. R(x,y,z) * x = x * R(x,y,z). x * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). x * R(T(x,y),z,u) = R(T(x,y),z,u) * x. R(T(x,y),z,u) * x = x * R(T(x,y),z,u). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). (x / y) * R(y,z,u) = R(x / (x / y),z,u) * (x / y). R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). T(x,R(x,y,z)) = x. (x * R(x,y,z)) * u != R(x,y,z) * x | 1 = u. 1 = K(R(x,y,z),x). K(R(x,y,z),x) = 1. x * y != T(z,R(z,u,w)) | z / y = x. x / R(x,y,z) = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = x / R(x,y,z). x \ 1 = R(x,y,z) \ (x \ R(x,y,z)). R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. R(x,y,z) * (x \ 1) = x \ R(x,y,z). x * K(R(y,z,u),y) = x. x * y != T(L(z / u,w,v5),u) | L(u \ z,w,v5) / y = x. L(x \ y,z,u) / x = (1 / x) * L(y / x,z,u). (1 / x) * L(y / x,z,u) = L(x \ y,z,u) / x. (x * L(x \ y,z,u)) / x = L(y / x,z,u). (x * R(x \ y,z,u)) / x = R(y / x,z,u). T(x / (y * x),y) = R(y \ 1,y,x). T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). ((x \ y) \ y) \ z = T(x,x \ y) \ z. T(x,x \ y) \ z = ((x \ y) \ y) \ z. K(x,(y \ z) \ z) = (T(y,y \ z) * x) \ (x * ((y \ z) \ z)). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). L(x,y,(z \ u) \ u) = (T(z,z \ u) * y) \ (((z \ u) \ u) * (y * x)). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). x != (y / z) * z | x = y. (x / ((y \ z) \ z)) * T(y,y \ z) = x. x * y != z * T(u,u \ w) | x \ (z * ((u \ w) \ w)) = y. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. x != y * ((z \ u) \ u) | x = y * T(z,z \ u). (x \ y) \ 1 = (y \ 1) * T(x,x \ 1). (x \ 1) * T(y,y \ 1) = (y \ x) \ 1. R(x,y \ 1,(z \ 1) \ 1) = ((x * (y \ 1)) * ((z \ 1) \ 1)) / ((z \ y) \ 1). ((x * (y \ 1)) * ((z \ 1) \ 1)) / ((z \ y) \ 1) = R(x,y \ 1,(z \ 1) \ 1). (x \ 1) * ((y \ (z \ 1)) \ 1) = ((z * y) \ x) \ 1. (x * (y \ 1)) * ((z \ 1) \ 1) = (z \ (y / x)) \ 1. (x \ y) * ((z \ 1) \ 1) = (z \ ((1 / y) * x)) \ 1. (x \ ((1 / y) * z)) \ 1 = (z \ y) * ((x \ 1) \ 1). (x \ 1) * ((y \ z) \ 1) = (((1 / z) * y) \ x) \ 1. (((1 / x) * y) \ z) \ 1 = (z \ 1) * ((y \ x) \ 1). 1 / (x * (y \ (z \ u))) = (((1 / u) * z) * y) / x. (((1 / x) * y) * z) / u = 1 / (u * (z \ (y \ x))). x / (y \ (z \ u)) = (1 / x) \ (((1 / u) * z) * y). (1 / x) \ (((1 / y) * z) * u) = x / (u \ (z \ y)). x * y != ((1 / z) * u) \ 1 | (u \ z) / y = x. (x \ y) / (z \ u) = ((1 / y) * x) \ ((1 / u) * z). ((1 / x) * y) \ ((1 / z) * u) = (y \ x) / (u \ z). x * y != 1 / (z * (u * (w \ 1))) | x \ ((w / u) / z) = y. (1 / x) \ ((y / z) / u) = x / (u * (z * (y \ 1))). x / (y * (z * (u \ 1))) = (1 / x) \ ((u / z) / y). x / (y \ (z \ (u \ 1))) = (1 / x) \ ((u * z) * y). x != ((y * z) * u) / (z * u) | x = R(y,z,u). (1 / ((x * y) * (z \ 1))) \ (z / y) = R(x,y,z \ 1). x / ((y / z) \ z) = (1 / x) \ ((z \ y) / z). (1 / x) \ ((y \ z) / y) = x / ((z / y) \ y). K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). x != y \ ((z \ y) * z) | x = K(z \ y,z). K(x,y) = K(y \ (y * x),y). K(x \ (x * y),x) = K(y,x). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). K(x \ (y \ 1),z) = K((y * x) \ 1,z). K((x * y) \ 1,z) = K(y \ (x \ 1),z). T(x,y) = y * T(y \ x,x). x * T(x \ y,y) = T(y,x). x * y != T(z / u,z) * u | x \ T(z,u) = y. x \ T(y,x) = T(x \ y,y). T(x \ y,y) = x \ T(y,x). T(x,y * T(y \ x,x)) = x. T(x / y,z) * y != u | u = y * T(y \ x,z). T(x / y,z) * y != u | y * T(y \ x,z) = u. T(T(x / y,z),y) != u | u = T(y \ x,z). T(T(x / y,z),y) != u | T(y \ x,z) = u. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. (x * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. T((x * y) / x,z) * x != u | u = x * T(y,z). T((x * y) / x,z) * x != u | x * T(y,z) = u. x != 1 / T(y,z \ 1) | x = z / (z * y). x * (y \ 1) = y / (y * (x \ y)). x / (x * (y \ x)) = y * (x \ 1). (x * (y \ 1)) \ y = y * (x \ y). x / (x * y) = (x / y) * (x \ 1). (x / y) * (x \ 1) = x / (x * y). (x * y) \ (1 / y) = (1 / y) * (x \ (1 / y)). (1 / x) * (y \ (1 / x)) = (y * x) \ (1 / x). (x \ 1) \ y = y * ((x \ y) \ y). x * ((y \ x) \ x) = (y \ 1) \ x. (x \ T(x,y)) \ x = x * (T(x,y) \ x). x \ ((y \ 1) \ x) = (y \ x) \ x. x * y != z \ x | y = T(z,x) \ 1. (x \ y) \ y = T(x \ 1,y) \ 1. T(x \ 1,y) \ 1 = (x \ y) \ y. (x \ 1) \ y = y * T(x,x \ y). x * T(y,y \ x) = (y \ 1) \ x. (x \ 1) \ y != y * z | (x \ y) \ y = z. x \ (y \ x) = ((1 / y) \ x) \ x. ((1 / x) \ y) \ y = y \ (x \ y). x * ((y \ x) \ x) != z | z = (y \ 1) \ x. x * ((y \ x) \ x) != z | (y \ 1) \ x = z. 1 / ((x \ y) \ y) = T(x \ 1,y). x / (x \ (y \ x)) = (1 / y) \ x. (1 / x) * (y \ x) = T(y \ 1,x). 1 / T(x,x \ y) = T(x \ 1,y). x / (x \ y) = (1 / (x / y)) \ x. (1 / (x / y)) \ x = x / (x \ y). x / (T(y,x) \ 1) = (1 / y) \ x. 1 / x = T(x \ 1,x). T(x \ 1,x) = 1 / x. T(x \ 1,x) != y | 1 / x = y. x * (1 / x) = (x \ 1) * x. (x \ 1) * x = x * (1 / x). x * T(1 / x,y) = T(x \ 1,y) * x. T(x \ 1,y) * x = x * T(1 / x,y). 1 / T(x,y) = T(x \ 1,x * y). T(x \ 1,x * y) = 1 / T(x,y). 1 / (x / (x \ y)) = (1 / x) * (1 / (x / y)). (1 / x) * (1 / (x / y)) = 1 / (x / (x \ y)). (1 / x) \ T(y,x) = (1 / y) \ x. T((1 / x) \ y,y) = T(x,y) * y. (1 / x) \ L(x,y,z) = (1 / L(x,y,z)) \ x. (1 / L(x,y,z)) \ x = (1 / x) \ L(x,y,z). x * (y \ 1) != T(z,y \ 1) | x = y * z. T(x,y \ 1) = y * ((1 / x) \ (y \ 1)). x * ((1 / y) \ (x \ 1)) = T(y,x \ 1). T(x * y,x) = T(T(y,x \ 1),x) * x. T(T(x,y \ 1),y) * y = T(y * x,y). (x / L(x,y,z)) / x = 1 / L(x,y,z). (L(x,y,z) / x) / L(x,y,z) = 1 / x. L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). x != (y * z) * (z \ 1) | x = R(y,z,z \ 1). T(T(x,y),y \ 1) = R(x,y,y \ 1). T(T(x,y / z),z * (y \ 1)) = R(x,y / z,(y / z) \ 1). (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). (x \ R(x,y,z)) \ 1 != u | (x \ 1) \ (R(x,y,z) \ 1) = u. T(T(x,y),y \ 1) * y = T(y * x,y). (1 / L(x,y,z)) * x != u | u = x / L(x,y,z). (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. x * y != T(z,y) | x = (1 / y) * z. T(T(x,y),y \ 1) = (1 / y) * (y * x). R(x,y,y \ 1) * y = T(y * x,y). x * y != (z * (z \ u)) * w | (u * w) / y = x. (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). (x * y) * a(x,y / z,z) = (x * (y / z)) * z. (x * (y * z)) \ ((x * y) * z) != u | u = a(x,y,z). (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. x \ R(x,1 / y,y) = a(x,1 / y,y). T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). L(T(x,y),y,x) != z | T(x,x * y) = z. (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). x != L(T(y,z),u,w) | x = T(L(y,u,w),z). T(x,x * y) = T(L(x,y,x),y). T(L(x,y,x),y) = T(x,x * y). L(T(T(x,y),z),y,x) = T(T(x,x * y),z). R(T(x,x * y),z,u) = L(R(T(x,y),z,u),y,x). L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). L(T(x,x * y),z,u) = L(L(T(x,y),z,u),y,x). L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). x * T(y,y * x) = L(y,x,y) * x. (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). (x * T(y,y * x)) / x = L(y,x,y). x * y != y * T(z,u) | x = T((y * z) / y,u). L(x,y,x) = T((y * x) / y,x * y). T((x * y) / x,y * x) = L(y,x,y). (x \ y) * T(x,y) = L(x,x \ y,x) * (x \ y). L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). T(x,y) * T(y,x * y) = L(y,T(x,y),y) * T(x,y). L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). T(L(x,y,x),z) = T(T((y * x) / y,z),x * y). T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). T(R(x,y,K(y,x)),z) * (y * K(y,x)) = (y * K(y,x)) * T((y * K(y,x)) \ (y * x),z). (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). (x / (y * x)) * (R(1 / y,y,x) \ z) = z. (x * y) \ y = R(T(1 / x,x * y),x,y). R(T(1 / x,x * y),x,y) = (x * y) \ y. (x / y) * T(y,z) != u * (x / y) | T(x / (x / y),z) = u. x * T(x \ (y * x),z) != u | T(y,z) * x = u. L(x \ 1,x,y) != z | (y * x) \ y = z. x != (y * z) \ (z * y) | x = K(z,y). L(x \ T(x,y),x,y) = K(x,y). K(x,y) = L(x \ T(x,y),x,y). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). L(x \ T(x,y),x,y) != z | K(x,y) = z. x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. x != y * L(T(z,y),u,w) | x = L(z,u,w) * y. x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). x \ (y * ((y \ x) * z)) != u | u = L(z,y \ x,y). x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). (x * y) / ((z \ x) * y) != u | u = R(z,z \ x,y). (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y). R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). T((x * y) / z,z / y) = R((z / y) \ x,z / y,y). R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). (x * y) \ (x * (z * y)) != u | u = L(T(z,y),y,x). (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. T(x,y \ 1) != z | (y * x) * (y \ 1) = z. T(((x * y) * z) / (x * z),x) = R(y,x,z). R(x,y,z) = T(((y * x) * z) / (y * z),y). T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). T(x / (y * (y \ z)),y) * z = ((y \ (x / (y \ z))) * y) * (y \ z). ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. x * T(y,y \ x) != z | (y \ 1) \ x = z. (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. x * R(y,x,z) = (((x * y) * z) / (x * z)) * x. (((x * y) * z) / (x * z)) * x = x * R(y,x,z). T(R(x,y,x),y * x) = T(x,y). R(x,y,x) * (y * x) = (y * x) * T(x,y). x != T(R(y,z,u),w) | x = R(T(y,w),z,u). T(x,y) = R(T(x,y * x),y,x). R(T(x,y * x),y,x) = T(x,y). (x * y) * L(T(y,x),z,u) = L(R(y,x,y),z,u) * (x * y). L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). (x * y) * R(T(y,x),z,u) = R(R(y,x,y),z,u) * (x * y). R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). R(T(x,y),y / x,x) = T(x,y / x). R(x,1 / x,x) = T(x,1 / x). (x * y) * T(y,x) = (y * x) * y. R(x,y,x) * (y * x) = (x * T(y,x)) * T(x,y). (x * T(y,x)) * T(x,y) = R(x,y,x) * (y * x). x * T(y,x / y) = (y * (x / y)) * y. (x * (y / x)) * x = y * T(x,y / x). x * y != (z * u) * T(u,z) | x \ ((u * z) * u) = y. (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z). R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). (x * (y * x)) / (z * x) = (1 / x) \ (y / z). x \ (y * (z * x)) = (((1 / x) * y) * z) * x. (((1 / x) * y) * z) * x = x \ (y * (z * x)). x \ (y * (z * x)) != u * x | u = ((1 / x) * y) * z. x \ (y * (z * x)) != u * x | ((1 / x) * y) * z = u. x * (T(y,x) * x) = y * (x * x). x * T((1 / y) \ x,x) = y * (x * x). ((1 / x) \ y) * y = x * (y * y). x * y != (z / u) * u | z / y = x. x / y = (1 / (x / (y * y))) \ y. (1 / (x / (y * y))) \ y = x / y. x * y != ((1 / x) \ z) * (u * x) | y = (z * u) * x. (x * y) * (x * y) = ((x * y) * x) * y. ((x * y) * x) * y = (x * y) * (x * y). (x \ y) * y = (x \ 1) * (y * y). (x \ 1) * (y * y) = (x \ y) * y. (x / y) * (y \ 1) = (1 / (x / (y * y))) \ 1. (1 / (x / (y * y))) \ 1 = (x / y) * (y \ 1). ((x * y) * (x * y)) * z != ((x * y) * x) * y | 1 = z. 1 = a(x * y,x,y). a(x * y,x,y) = 1. T((((1 / x) \ y) * z) / x,x) = (y * (z / x)) * x. x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. x * y != ((1 / x) \ z) * z | y = z * z. (x * (x / y)) * y = x * x. x \ (((1 / x) \ y) * z) != u | u = (y * (z / x)) * x. x \ (((1 / x) \ y) * z) != u | (y * (z / x)) * x = u. (x * x) / y = x * (x / y). (x * y) * (y \ x) = x * x. x * y != z * z | T(z * (z / x),x) = y. x * (y \ (x / y)) = (x / y) * (x / y). (x / y) * (x / y) = x * (y \ (x / y)). (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. x * x = (x / y) * (y * x). (x / y) * (y * x) = x * x. x * ((x \ y) * y) = y * y. x * y != z * z | x = z * (z / y). x / y = x * (x / (y * x)). x * (x / (y * x)) = x / y. x * y != (z / u) * (u * z) | x \ (z * z) = y. x \ (y * y) = (x \ y) * y. x * (y * (x * y)) = (x * y) * (x * y). (x * y) * (x * y) = x * (y * (x * y)). (x * y) * ((x \ 1) * T(y,x \ 1)) = T(y,x \ 1) * T(y,x \ 1). T(x * (x / y),y) = (y \ x) * x. x != (y / z) * (y / z) | x = y * (z \ (y / z)). x * ((x \ (y / z)) * (y / z)) = y * (z \ (y / z)). (x * y) * z != x * x | z = y \ x. ((x * y) \ x) * x = y \ x. x * y != z * ((z \ x) * u) | y = L(u,z \ x,z). x = L(x,y \ x,y). L(x,y \ x,y) = x. (1 / (x * x)) * y = 1 / ((y \ x) * x). 1 / ((x \ y) * y) = (1 / (y * y)) * x. L(x * y,y,x) = x * y. L(T(x,y),z \ x,z) = T(x,y). (x * y) * (x * y) != z | x * (y * (x * y)) = z. x \ (x / y) = x / (y * x). x / (y * x) = x \ (x / y). x * y != z / (u \ z) | x \ u = y. x \ y = x / ((y \ x) * x). x / ((y \ x) * x) = x \ y. (x \ y) * ((x \ y) / y) = (x \ y) / x. x * (x / y) = x / (y / x). x / (y / x) = x * (x / y). (x \ (x / y)) * (y * x) = x. x \ (x / y) != z | z = x / (y * x). x \ (x / y) != z | x / (y * x) = z. x != ((1 / y) \ z) * z | x = y * (z * z). (1 / x) \ (y * y) = x * (y * y). T((x * y) \ x,x) = x \ (y \ x). (x \ y) / y = (y * x) \ y. x * y != (z / u) \ z | u / y = x. x / y = (y * (y / x)) \ y. (x * (x / y)) \ x = y / x. x * y != z \ (z * u) | u / y = x. x / (y * x) = ((y * x) * y) \ (y * x). ((x * y) * x) \ (x * y) = y / (x * y). (x \ y) * y = (y \ x) \ y. (x \ y) \ x = (y \ x) * x. x \ y != z * y | (y * x) \ y = z. x * ((y \ x) \ 1) = ((x * y) \ x) \ 1. ((x * y) \ x) \ 1 = x * ((y \ x) \ 1). (x \ y) / y != z | z = (y * x) \ y. (x \ y) / y != z | (y * x) \ y = z. ((x \ y) / y) * (1 / y) = x \ (1 / y). (x \ (x / y)) \ 1 = (y * x) * (x \ 1). (1 / x) * (x \ y) = 1 / ((y \ x) * x). 1 / ((x \ y) * y) = (1 / y) * (y \ x). (x * (x / y)) \ x != z | z = y / x. (x * (x / y)) \ x != z | y / x = z. x / (y * x) != z | z = x \ (x / y). x / (y * x) != z | x \ (x / y) = z. x * y != (x \ z) \ x | T(z \ x,x) = y. T(x \ y,y) = T(y \ x,y) \ 1. T(x \ y,x) \ 1 = T(y \ x,x). (x \ y) \ x != z * x | y \ x = z. (x / ((y \ z) \ x)) \ y = (z \ y) * y. (x \ ((1 / x) \ y)) \ x = (y \ 1) * x. 1 / ((x \ y) * y) != z | (1 / y) * (y \ x) = z. x * T(x,y) = z * ((z \ x) * T(x,y)). x * ((x \ y) * T(y,z)) = y * T(y,z). x != (1 / y) \ (z * u) | x = y / (u \ (z \ 1)). x * (y * y) = x / (y \ (y \ 1)). x / (y \ (y \ 1)) = x * (y * y). (x * (y * y)) \ x = y \ (y \ 1). 1 / T(x \ y,y) = T(y \ x,y). x / (y * y) = x * (y \ (y \ 1)). x * (y \ (y \ 1)) = x / (y * y). x * y != z / z | 1 / y = x. 1 / (x * x) = x \ (x \ 1). (1 / x) / x = x \ (x \ 1). x \ (x / (y * y)) = y \ (y \ 1). (x \ (x \ 1)) * y = (x * x) \ y. 1 / T(x,y) = T(y \ (y / x),y). T(x \ (x / y),x) = 1 / T(y,x). x * y != z \ (z * u) | x \ u = y. (x \ (x \ 1)) \ y = (x * x) * y. (((1 / x) * y) \ (((1 / x) * y) \ 1)) \ z = (T(y / x,y) * ((1 / x) * y)) * z. (x / (y \ z)) / ((1 / z) * y) != u | (((1 / z) * y) * (1 / x)) \ ((1 / z) * y) = u. ((x * y) * x) \ (x * y) != z | y / (x * y) = z. ((x \ y) \ 1) * ((y \ 1) * ((x \ 1) \ 1)) = (y \ 1) * (((x \ 1) \ 1) * ((y \ 1) * ((x \ 1) \ 1))). (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = ((y \ x) \ 1) * ((x \ 1) * ((y \ 1) \ 1)). x \ (x / (y * (z * (y * z)))) = (y * z) \ ((y * z) \ 1). 1 / ((x \ y) * y) = (y \ (y \ 1)) * x. (x \ y) * ((y * x) \ y) = (x \ y) / x. x != y / (z * y) | x = y \ (y / z). ((x * y) * x) \ (x * y) = y \ (y / x). ((x * y) * x) \ (x * y) != z | y \ (y / x) = z. (x / y) * (1 / y) = (y / x) \ (1 / y). (x / y) \ (1 / x) = (y / x) * (1 / x). ((x * y) \ x) * (1 / x) = y \ (1 / x). x * (y * y) != (1 / z) \ (y * y) | x = z. x \ (y * y) = ((y * y) \ x) \ 1. ((x * x) \ y) \ 1 = y \ (x * x). x != y \ (z * z) | x = (y \ z) * z. ((x * x) \ y) \ 1 = (y \ x) * x. 1 / ((x \ y) * y) = (y * y) \ x. x != 1 / ((y \ z) * z) | x = (1 / z) * (z \ y). (x * x) \ y = (1 / x) * (x \ y). (1 / x) * (x \ y) = (x * x) \ y. 1 / (x * (y * x)) = ((y * x) * (y * x)) \ y. ((x * y) * (x * y)) \ x = 1 / (y * (x * y)). 1 / (x * y) = (y * y) \ (y / x). (x * x) \ (x / y) = 1 / (y * x). 1 / (x * (y * y)) = (y * y) \ (1 / x). x * ((x \ 1) \ y) = ((x \ 1) * (x \ 1)) \ y. ((x \ 1) * (x \ 1)) \ y = x * ((x \ 1) \ y). (1 / x) * (x \ 1) = x \ (x \ 1). (1 / x) \ y = x \ ((x * x) * y). x \ ((x * x) * y) = (1 / x) \ y. (1 / x) * y = (x * x) \ (x * y). (x * x) \ (x * y) = (1 / x) * y. (x * x) \ (x \ (x / y)) = 1 / ((y * x) * x). (1 / (x * y)) * (y \ (x \ 1)) = (x * y) \ ((x * y) \ 1). x * ((1 / x) \ y) = (x * x) * y. x != (y * z) \ (y * u) | x = L(z \ u,z,y). (1 / x) * y = L(x \ y,x,x). L(x \ y,x,x) = (1 / x) * y. x != (y * z) \ (y * (z * u)) | x = L(u,z,y). (1 / x) * (x * y) = L(y,x,x). L(a(x,y,z),x * (y * z),x * (y * z)) = (1 / (x * (y * z))) * ((x * y) * z). x != (1 / y) * (y * z) | x = T(T(z,y),y \ 1). L(x,y,y) = T(T(x,y),y \ 1). T(T(x,y),y \ 1) = L(x,y,y). x != (1 / y) * (y * z) | x = L(z,y,1 / y). L(x,y,y) = L(x,y,1 / y). L(x,y,1 / y) = L(x,y,y). L(x,y,y) \ 1 = (y * x) \ y. (1 / x) \ L(y,z,z) = x / ((z * y) \ z). x != T(T(y,z),z \ 1) | x = R(y,z,z \ 1). L(x,y,y) = R(x,y,y \ 1). R(x,y,y \ 1) = L(x,y,y). x != T(T(y,z),z \ 1) | x = (y * z) * (z \ 1). L(x,y,y) = (x * y) * (y \ 1). (x * y) * (y \ 1) = L(x,y,y). T(x,x \ 1) = L(x,x,x). x != R(y / z,z,z \ 1) | x = y * (z \ 1). L(x / y,y,y) = x * (y \ 1). x != (y * z) * (z \ 1) | x = (z \ (z / y)) \ 1. L(x,y,y) = (y \ (y / x)) \ 1. (x \ (x / y)) \ 1 = L(y,x,x). (x * (y * z)) * (z \ (y \ 1)) = L(x,y * z,y * z). 1 / L(x,y,y) = y \ (y / x). (x \ y) \ 1 = L(y \ x,x,x). L(x \ y,y,y) = (y \ x) \ 1. 1 / L(x,y,y) != z | z = y \ (y / x). 1 / L(x,y,y) != z | y \ (y / x) = z. 1 / (x * L(y,z,z)) = (z \ (z / y)) / x. (x \ (x / y)) \ 1 != z | z = L(y,x,x). (x \ (x / y)) \ 1 != z | L(y,x,x) = z. x != L(y,z,z) | x = L(y,z,1 / z). (x \ y) \ 1 = L(y \ x,x,1 / x). L(x \ y,y,1 / y) = (y \ x) \ 1. x * y != z * ((1 / z) \ u) | x \ ((z * z) * u) = y. T(x / y,x) \ ((((1 / y) * x) * ((1 / y) * x)) * z) = (1 / ((1 / y) * x)) \ z. x * (x / y) = (x * x) * (1 / y). (x * x) * (1 / y) = x * (x / y). x * ((x * y) / x) = (x * x) * (y / x). (x * x) * (y / x) = x * ((x * y) / x). L(x,y * x,1 / (y * x)) = ((y * x) \ y) \ 1. ((x \ 1) \ 1) \ x = (x \ 1) * x. ((x \ 1) \ 1) \ x = K(x \ 1,x). x != ((y \ z) \ z) \ u | x = T(y,y \ z) \ u. (x \ 1) * x = T(x,x \ 1) \ x. T(x,x \ 1) \ x = (x \ 1) * x. ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. ((x \ 1) \ 1) * K(x \ 1,x) = x. x / K(x \ 1,x) = (x \ 1) \ 1. x * y != T(x,x \ 1) \ x | T(x \ 1,x) = y. T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). x != ((y \ z) \ z) * u | x = T(y,y \ z) * u. x = T(x,x \ 1) * K(x \ 1,x). T(x,x \ 1) * K(x \ 1,x) = x. x != y / K(y \ 1,y) | x = R(y,y \ 1,y). (x \ 1) \ 1 = R(x,x \ 1,x). R(x,x \ 1,x) = (x \ 1) \ 1. R(x,x \ 1,x) = T(x,x \ 1). x != T(y \ 1,y) | x = 1 / y. T(x,x \ 1) \ 1 = 1 / x. x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). (x \ 1) \ 1 = T((1 / x) \ 1,1 / x). T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. x != T(y,y \ z) \ u | x = ((y \ z) \ z) \ u. 1 / x = ((x \ 1) \ 1) \ 1. ((x \ 1) \ 1) \ 1 = 1 / x. (x \ 1) \ 1 = 1 / (1 / x). 1 / (1 / x) = (x \ 1) \ 1. x != 1 / T(y,z) | x = T(y \ 1,y * z). ((T(x,y) \ 1) \ 1) \ 1 = T(x \ 1,x * y). T(x \ 1,x * y) = ((T(x,y) \ 1) \ 1) \ 1. x != 1 / (y \ z) | x = (1 / z) * y. (((x \ y) \ 1) \ 1) \ 1 = (1 / y) * x. x * y != ((z \ 1) \ 1) \ 1 | (1 / z) / y = x. (1 / x) / y = ((x \ 1) \ 1) \ (1 / y). ((x \ 1) \ 1) \ (1 / y) = (1 / x) / y. ((x \ (y \ 1)) \ 1) \ 1 = 1 / (y * x). 1 / (1 / x) != y | y = (x \ 1) \ 1. 1 / (1 / x) != y | (x \ 1) \ 1 = y. ((x \ y) \ 1) \ 1 = 1 / ((1 / y) * x). 1 / ((1 / x) * y) = ((y \ x) \ 1) \ 1. 1 / (x * (1 / y)) = ((y \ 1) \ 1) / x. ((x \ 1) \ 1) / y = 1 / (y * (1 / x)). x / (1 / y) = (1 / x) \ ((y \ 1) \ 1). (1 / x) \ ((y \ 1) \ 1) = x / (1 / y). ((x \ (y \ x)) \ 1) \ 1 = 1 / T(y,x). x / (x * (1 / y)) = (x * ((y \ 1) \ 1)) / x. (x * ((y \ 1) \ 1)) / x = x / (x * (1 / y)). (1 / x) * ((y \ 1) \ 1) = (y \ ((x \ 1) \ 1)) \ 1. (x \ ((y \ 1) \ 1)) \ 1 = (1 / y) * ((x \ 1) \ 1). (x \ 1) * (1 / y) = ((y \ 1) \ x) \ 1. ((x \ 1) \ y) \ 1 = (y \ 1) * (1 / x). ((x \ (y \ z)) \ 1) \ 1 = 1 / (((1 / z) * y) * x). 1 / (((1 / x) * y) * z) = ((z \ (y \ x)) \ 1) \ 1. 1 / (x * (y \ (1 / z))) = (((z \ 1) \ 1) * y) / x. (((x \ 1) \ 1) * y) / z = 1 / (z * (y \ (1 / x))). 1 / (1 / (x * y)) = (y \ (x \ 1)) \ 1. x / (1 / (1 / y)) = (1 / x) \ (y \ 1). x / (1 / (1 / y)) != z | (1 / x) \ (y \ 1) = z. x * (((y \ 1) \ 1) * x) = (x / (1 / y)) * x. 1 / ((x \ 1) * y) = ((y \ 1) \ 1) \ x. ((x \ 1) \ 1) * (1 / y) = 1 / (y / x). (T(x,y) \ x) * T(x,y) = x. x \ (y * T(y,z)) = (x \ y) * T(y,z). x * (y * T(x * y,z)) = (x * y) * T(x * y,z). (x * y) * T(x * y,z) = x * (y * T(x * y,z)). x / T(x,y) = T(x,y) \ x. (T(x,y) \ x) \ x = T(x,y). x != T(y,z) \ y | x = y * (T(y,z) \ 1). x / T(x,y) = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = x / T(x,y). x != y / T(y,z) | x = (1 / T(y,z)) * y. T(x,y) \ x = (1 / T(x,y)) * x. (1 / T(x,y)) * x = T(x,y) \ x. x * y != z / T(z,u) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = 1 / T(x,y). (x * x) / T(x,y) = x * (T(x,y) \ x). x * y != x / T(x,z) | T(1 / T(x,z),x) = y. T(1 / T(x,y),x) = T(x,y) \ 1. 1 / (x \ T(x,y)) = T(x,y) \ x. (T(x,y) \ x) \ 1 = x \ T(x,y). ((T(x,y) \ x) / x) \ 1 = T(x,y). (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,(T(y,z) \ y) \ 1). R(x,T(y,z) \ y,(T(y,z) \ y) \ 1) = (x * (T(y,z) \ y)) * (y \ T(y,z)). (x \ y) \ ((x \ y) / x) = (y * x) \ y. x * y != (1 / z) \ (1 / u) | (z / u) / y = x. (x / y) / (1 / y) = (y * (1 / x)) \ y. (x \ y) * (1 / y) = (y \ x) \ (1 / y). (x \ y) \ (1 / x) = (y \ x) * (1 / x). x \ (1 / y) != z * (1 / y) | (y * x) \ y = z. ((x * y) \ y) * (1 / y) = T(x,y) \ (1 / y). ((x * (y * z)) \ (x * y)) * (1 / (x * y)) = L(z,y,x) \ (1 / (x * y)). (x * y) * (y \ 1) != z | L(x,y,y) = z. T(x,1 / x) = (x \ 1) \ 1. (x \ 1) \ 1 != y | 1 / (1 / x) = y. T(x,1 / x) = T(x,x \ 1). ((x \ 1) \ 1) / x = K(x,1 / x). x != T(y,1 / y) | x = R(y,1 / y,y). T(x,x \ 1) = R(x,1 / x,x). R(x,1 / x,x) = T(x,x \ 1). T(x,x \ 1) / x = K(x,1 / x). L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). R(T(x,x \ 1),y,z) = R(R(x,y,z),1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). (x \ 1) \ (1 / x) = K(x,1 / x). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). (x \ 1) * K(x,1 / x) = 1 / x. x != (1 / y) / z | x = 1 / (z * y). ((x \ 1) \ 1) \ (1 / y) = 1 / (y * x). ((x \ 1) \ 1) \ (1 / y) != z | 1 / (y * x) = z. (1 / (x * y)) * ((z \ 1) \ 1) = (z \ ((y \ (x \ 1)) \ 1)) \ 1. (x \ ((y \ (z \ 1)) \ 1)) \ 1 = (1 / (z * y)) * ((x \ 1) \ 1). (x \ 1) \ (1 / y) = 1 / (y * (1 / x)). 1 / (x * (1 / y)) = (y \ 1) \ (1 / x). 1 / (x * (1 / y)) != z | (y \ 1) \ (1 / x) = z. x * y != ((z \ 1) \ u) \ 1 | ((u \ 1) * (1 / z)) / y = x. ((x \ 1) * (1 / y)) / z = ((y \ 1) \ x) \ (1 / z). ((x * (y \ 1)) \ z) \ 1 = (z \ 1) * (1 / (y / x)). (x \ 1) * ((y \ 1) * (1 / x)) = (y / (x \ 1)) \ (x \ 1). x != 1 / ((y \ 1) * z) | x = (1 / (1 / z)) \ y. ((x \ 1) \ 1) \ y = (1 / (1 / x)) \ y. (1 / (1 / x)) \ y = ((x \ 1) \ 1) \ y. x * y != 1 / ((z \ 1) * u) | x \ (((u \ 1) \ 1) \ z) = y. (1 / x) \ (((y \ 1) \ 1) \ z) = x / ((z \ 1) * y). 1 / ((x \ (y \ 1)) * z) = ((z \ 1) \ 1) \ (y * x). (x \ 1) * (1 / y) = 1 / (y / (1 / x)). 1 / (x / (1 / y)) = (y \ 1) * (1 / x). ((x \ y) \ 1) * (1 / z) = 1 / (z / ((1 / y) * x)). 1 / (x / ((1 / y) * z)) = ((z \ y) \ 1) * (1 / x). ((x \ 1) \ 1) * ((1 / y) * z) = 1 / ((z \ y) / x). (x * (T(x,y) \ x)) \ (x * x) = T(x,y). x / (1 / y) = (y * (1 / (x * y))) \ y. (x * (1 / (y * x))) \ x = y / (1 / x). (x * ((y \ 1) \ 1)) \ (1 / (y \ (1 / x))) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). R(x,y,y \ 1) != z | L(x,y,y) = z. T(T(x,y),y \ 1) != z | L(x,y,y) = z. ((x \ (y \ 1)) \ 1) \ (1 / z) = 1 / (z * (y * x)). ((x \ y) \ 1) \ (1 / z) = 1 / (z * ((1 / y) * x)). 1 / (x * ((1 / y) * z)) = ((z \ y) \ 1) \ (1 / x). x != (y \ 1) * (1 / z) | x = ((z \ 1) \ y) \ 1. 1 / (x / (1 / y)) = ((x \ 1) \ y) \ 1. x / (y / (1 / x)) = x * (1 / (y * x)). 1 / (x / (1 / y)) = (1 / y) * (y * (1 / (x * y))). (1 / x) * (x * (1 / (y * x))) = 1 / (y / (1 / x)). (x / (1 / y)) * y = (1 / (x * y)) \ y. (1 / (x * y)) \ y = (x / (1 / y)) * y. T(T(x,y * z),z \ (y \ 1)) != u | L(x,y * z,y * z) = u. (1 / x) * (x * y) != z | L(y,x,x) = z. x * y != 1 / (z / (1 / u)) | x \ (((z \ 1) \ u) \ 1) = y. (1 / x) \ (((y \ 1) \ z) \ 1) = x / (y / (1 / z)). x / (1 / (1 / x)) = x * (1 / x). x / (1 / (1 / x)) = K(x,1 / x). K(x,1 / x) * (1 / (1 / x)) = x. K(x,1 / x) * y != x | y = L(x,1 / x,x). 1 / (1 / x) = L(x,1 / x,x). L(x,1 / x,x) = 1 / (1 / x). L(T(x,y),1 / x,x) = T(1 / (1 / x),y). L(x,y,1 / y) != z | L(x,y,y) = z. L(x,y,y) != z | (1 / y) * (y * x) = z. (x * y) * z != (y * x) * (K(x,y) * u) | L(u,K(x,y),y * x) = z. (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. L(x,y,y) != z | L(x,y,1 / y) = z. ((x * (1 / y)) * (y / z)) / (1 / z) != u | R(x,1 / y,y / z) = u. L(x,y,y) != z | R(x,y,y \ 1) = z. T(1 / T(x,y),T(x,z)) = T(x,z) \ (T(x,z) / T(x,y)). T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). x * T(((1 / y) * z) * x,u) = T(x / (z \ y),u) * x. (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ T(y / x,x). T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). x * (y * ((x \ 1) \ 1)) = (1 / (x * y)) \ x. x != y * (((1 / z) * u) * y) | x = (y / z) * (u * y). (x / (y \ z)) * x = (x / z) * (y * x). x * y != z * (((1 / u) * w) * z) | ((z / u) * (w * z)) / y = x. ((x / y) * (z * x)) / x = x / (z \ y). x * y != (z / (u \ z)) * w | (u * w) / y = x. (x * (y * z)) / z = z / (y \ (x \ z)). (x / y) * x = (x / (z * y)) * (z * x). (x / (y * z)) * (y * x) = (x / z) * x. ((x / y) * (z * x)) \ 1 = x \ ((x / (z \ y)) \ 1). (x / (y \ z)) * x != u | u = (x / z) * (y * x). (x / (y \ z)) * x != u | (x / z) * (y * x) = u. (x / (y \ (z \ x))) \ 1 = x * ((z * (y * x)) \ 1). x / ((1 / x) * y) = (x / y) * x. (x * y) / (z * y) = y / (z * (x \ y)). (x / ((y / x) * z)) * y = (x / z) * x. ((x / y) * x) \ x = (1 / x) * y. x / (1 / y) = (x / (x / y)) * x. (x / (x / y)) * x = x / (1 / y). x / (((1 / y) * z) * (y \ 1)) = (1 / x) \ ((y / z) * y). (x \ y) / ((1 / (x \ y)) * y) = ((y * x) \ y) * (x \ y). (x * y) \ y = (1 / y) * (x \ y). (1 / x) * (y \ x) = (y * x) \ x. ((x / y) * (z * x)) \ x = (1 / x) * (z \ y). x * y != (z / (z / u)) * z | x \ (z / (1 / u)) = y. x \ (x / (1 / y)) = (1 / (x / y)) * x. x != (1 / y) * (z \ y) | x = T(z \ 1,y). (x * y) \ y = T(x \ 1,y). T(x \ 1,y) = (x * y) \ y. T(x \ 1,y) * z = ((x * y) \ y) * z. T((x / y) \ 1,y) = x \ y. x / T(y \ 1,x) = y * x. T(x,y) = ((1 / x) * y) \ y. T(x * (y \ 1),z) = ((y / x) * z) \ z. x * y != T((z / u) \ 1,u) | x \ (z \ u) = y. (1 / x) \ (y \ x) = (y / x) \ x. x * (y \ x) = ((y / x) \ 1) * x. ((x / y) \ 1) * y = y * (x \ y). T(x * (y \ 1),x) = y \ x. x / T(y,x) = (1 / y) * x. R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). x != y \ (1 / z) | x = (y \ 1) / z. T(x,1 / y) = (((1 / x) * (1 / y)) \ 1) / y. (((1 / x) * (1 / y)) \ 1) / y = T(x,1 / y). x / T(y,x) != z | z = (1 / y) * x. x / T(y,x) != z | (1 / y) * x = z. T(x,y) = (1 / (y \ x)) \ y. T(x * y,x) = (1 / y) \ x. T(x,y) = (T(y,x) / x) \ y. (T(x,y) / y) \ x = T(y,x). T(x * x,y) = ((x \ (x \ 1)) * y) \ y. ((x \ (x \ 1)) * y) \ y = T(x * x,y). T(x,x * y) = L(y,x,x) \ (x * y). L(x,y,y) \ (y * x) = T(y,y * x). x * y != T(z * (u \ 1),z) | (u \ z) / y = x. (x \ y) / y = R(x \ 1,y,y \ 1). R(x \ 1,y,y \ 1) = (x \ y) / y. T(x \ y,z) = T(T(y * (x \ 1),z),y). T(T(x * (y \ 1),z),x) = T(y \ x,z). x * (y \ x) = (x * (y \ 1)) * x. (x * (y \ 1)) * x = x * (y \ x). (x * (y \ x)) / x = x * (y \ 1). T(x * (y \ (z \ 1)),x) = (z * y) \ x. T(x * (y * (z \ 1)),x) = (z / y) \ x. (x \ y) \ (y \ 1) = y \ ((y * (x \ 1)) \ 1). x \ ((x * (y \ 1)) \ 1) = (y \ x) \ (x \ 1). x * ((y \ x) \ 1) = (x * (y \ 1)) \ x. (x * (y \ 1)) \ x = x * ((y \ x) \ 1). T(x \ y,y) = T(x,y) \ y. T(x,y) \ y = T(x \ y,y). x != (1 / y) * z | x = T(z,y) / y. x / T(y,x) = T(x,y) / y. T(x,y) / y = x / T(y,x). x / T(y,x) = T(x / y,x). x / (x \ y) = (1 / (y / x)) * x. (1 / (x / y)) * y = y / (y \ x). (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). ((1 / x) * y) \ y != z | z = T(x,y). ((1 / x) * y) \ y != z | T(x,y) = z. T(x,y) = (x / T(y,x)) * y. (x / T(y,x)) * y = T(x,y). R(x,y,z) / x = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = R(x,y,z) / x. x != (1 / y) \ z | x = y / (z \ 1). T(x,y) = (y \ x) / (y \ 1). T(x,y) != z | (y \ x) / (y \ 1) = z. T(x * y,x) = y / (x \ 1). x * ((1 / y) \ x) = (x * y) * x. T(x * y,x) \ y = x \ 1. T((1 / x) * y,1 / x) != z | y / x = z. T(x * y,x) != z | y / (x \ 1) = z. T(x * y,x) * y = y * (x * y). T(T(x * y,x),y) = x * y. x * (((1 / y) \ x) \ 1) = (x * y) \ x. x != T(y \ z,z) | x = y \ T(z,y). T(x,y) \ y = x \ T(y,x). x * (T(x,y) \ y) = T(y,x). (x / T(y,x)) * y != z | z = T(x,y). (x / T(y,x)) * y != z | T(x,y) = z. T(x,y) * (y \ 1) = y \ x. T(T(x,y),y \ 1) = (y \ 1) \ (y \ x). (x \ 1) \ (x \ y) = T(T(y,x),x \ 1). x * (y / (x \ 1)) = (x * y) * x. T(T(x * y,x),x \ 1) = (x \ 1) \ y. (x * (y / (x \ 1))) / x = x * y. T(x * (y \ 1),x) != z | y \ x = z. T(x * y,x) != z | (1 / y) \ x = z. x / (y \ 1) != z | z = T(y * x,y). x / (y \ 1) != z | T(y * x,y) = z. T(x,y) * (x \ T(y,x)) = y. T(x,y) / (T(y,x) \ x) = y. x * y != T(z,x) | T(z / T(x,z),x) = y. T(x / T(y,x),y) = T(y,x) \ x. T(x,1 / y) * y = (1 / y) \ x. (x \ y) * (x \ 1) = x \ (y / x). x * (y \ 1) = y \ ((y * x) / y). x \ ((x * y) / x) = y * (x \ 1). (x \ y) \ 1 = (x \ 1) \ (T(y,x) \ 1). (x \ 1) \ (T(y,x) \ 1) = (x \ y) \ 1. T(x,(1 / y) * z) * (z \ y) = ((1 / y) * z) \ x. (x * y) * (y \ 1) = y \ ((1 / y) \ x). x \ ((1 / x) \ y) = (y * x) * (x \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. L(x \ y,z,u) * (x \ 1) = x \ L(y / x,z,u). T(x,y) \ y != z | z = x \ T(y,x). T(x,y) \ y != z | x \ T(y,x) = z. T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). (1 / ((x / y) \ y)) \ ((y \ x) \ 1) = (y / ((x / y) \ y)) \ ((x / y) \ y). x != y * ((z \ y) \ y) | x = (z \ 1) \ y. (x * ((y \ x) \ 1)) * x = (y \ 1) \ x. (x * (y * (z \ 1))) * x = x * ((z / y) \ x). (x * (y \ x)) \ (x * (y \ 1)) = (y \ 1) \ ((y \ 1) / x). (x * y) / x = x * ((x / y) \ 1). x * ((x / y) \ 1) = (x * y) / x. (x * (y \ 1)) \ x != z | x * ((y \ x) \ 1) = z. 1 / (x \ (y / x)) = x / (x \ y). (x / (x \ y)) / x != z | z = 1 / (y / x). (x / (x \ y)) / x != z | 1 / (y / x) = z. (1 / x) \ (y / (y \ z)) = x / (y \ (z / y)). x != y * (z \ y) | x = (z * (y \ 1)) \ y. (x * y) * x = ((1 / y) * (x \ 1)) \ x. ((1 / x) * (y \ 1)) \ y = (y * x) * y. x * (x * y) = (x * T(y,x \ 1)) * x. (x * T(y,x \ 1)) * x = x * (x * y). x * ((1 / (x \ 1)) \ (y / (x \ 1))) = (x * ((x \ 1) * y)) * x. (x * y) / x = x * (y * (x \ 1)). x * (y * (x \ 1)) = (x * y) / x. x * y != (z \ u) * (z \ 1) | x \ (z \ (u / z)) = y. x \ (y \ (1 / y)) = (x \ (y \ 1)) * (y \ 1). (x \ (y \ 1)) * (y \ 1) = x \ (y \ (1 / y)). ((x * y) \ z) * (y \ (x \ 1)) = (x * y) \ (z / (x * y)). ((x / y) \ z) * (y * (x \ 1)) = (x / y) \ (z / (x / y)). 1 / (x \ (y / x)) != z | x / (x \ y) = z. ((1 / x) \ (y \ 1)) * (y \ 1) = x * (y \ (1 / y)). T(x \ (y / x),x \ y) = x \ (x \ y). x != y * (z \ 1) | x = ((y * z) / y) \ y. x \ ((x * y) / x) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ ((y * x) / y). x * (y * (x \ 1)) != z | z = (x * y) / x. x * (y * (x \ 1)) != z | (x * y) / x = z. 1 / ((x * y) / x) = (x / y) / x. 1 / (x \ (1 / x)) = (1 / x) \ x. 1 / (x / (x \ y)) != z | ((x \ (y / x)) \ 1) \ 1 = z. 1 / (x \ (x / (y \ (z \ x)))) = x / (x \ (z * (y * x))). (x * y) / x != x * z | y * (x \ 1) = z. (1 / x) * (y * x) = ((1 / x) * y) / (1 / x). ((1 / x) * y) / (1 / x) = (1 / x) * (y * x). x \ ((x * y) / x) != z | z = y * (x \ 1). x \ ((x * y) / x) != z | y * (x \ 1) = z. T(x,y) / x != z | (1 / x) * T(x,y) = z. L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. x \ (1 / T(y,x \ 1)) != z | (1 / y) * (x \ 1) = z. L(x \ 1,y,y) = (x \ y) / y. x != (y \ z) / z | x = (z * y) \ z. L(x \ 1,y,y) = (y * x) \ y. L(x,y,y) = ((1 / x) \ y) / y. ((1 / x) \ y) / y = L(x,y,y). L(x \ 1,y,y) != z | (y * x) \ y = z. L((x * y) \ x,z,u) = L(L(y \ 1,z,u),x,x). L(L(x \ 1,y,z),u,u) = L((u * x) \ u,y,z). L(x,y,y) = (y * (1 / x)) \ y. (x * (1 / y)) \ x = L(y,x,x). L(x,y,y) * y = (1 / x) \ y. L(x,y,y) * y != z | z = (1 / x) \ y. L(x,y,y) * y != z | (1 / x) \ y = z. (x / y) / (1 / y) = L(x,1 / y,1 / y). L(x,1 / y,1 / y) = (x / y) / (1 / y). R(L(x,y,y),y,z) = (((1 / x) \ y) * z) / (y * z). (x / (x \ y)) / x = L(x / y,x,x). x != (y * (1 / z)) \ y | x = (z / y) / (1 / y). L(x,y,y) = (x / y) / (1 / y). (x / y) / (1 / y) = L(x,y,y). x != (y * (1 / (z * y))) \ y | x = z / (1 / y). L(x * y,y,y) = x / (1 / y). x / L(y,x,x) = x * (1 / y). x / L(y,x,x) != z | z = x * (1 / y). x / L(y,x,x) != z | x * (1 / y) = z. x * y != L(z,u,u) * u | x \ ((1 / z) \ u) = y. x \ ((1 / y) \ x) = L(T(y,x),x,x). L(T(x,y),y,y) = y \ ((1 / x) \ y). L(x,y,y) * (1 / y) = x / y. (x / (y \ z)) / ((1 / z) * y) = L(x,y \ z,y \ z). L(x * y,y,1 / y) = x / (1 / y). x != L(y,z,z) | x = T(T(y,z),z \ 1). x / (1 / y) = T(T(x * y,y),y \ 1). T(T(x * y,y),y \ 1) = x / (1 / y). (x * (1 / y)) \ x != z | z = L(y,x,x). (x * (1 / y)) \ x != z | L(y,x,x) = z. L(x,1 / y,L(z,y,y)) = (z / y) \ (L(z,y,y) * ((1 / y) * x)). (x / y) \ (L(x,y,y) * ((1 / y) * z)) = L(z,1 / y,L(x,y,y)). (x / y) / (1 / y) != z | z = L(x,y,y). (x / y) / (1 / y) != z | L(x,y,y) = z. ((1 / x) * y) * (1 / x) = (x \ y) / x. ((x / y) * z) \ z != u | T(y * (x \ 1),z) = u. (x * y) / x != z | (y \ ((x * y) / x)) / (y \ 1) = z. T(x * (y \ z),x) != u | ((1 / z) * y) \ x = u. T(x \ y,y) != z | x \ T(y,x) = z. (1 / x) \ (y / (1 / x)) != z | x * (y * x) = z. R(x,y,z) = z / (y * ((x * y) \ z)). ((x / y) * x) / z = x / ((z / x) * y). x != ((y / z) * y) \ y | x = (1 / y) * z. T(x * (y \ 1),y) = (1 / y) * x. T(x * (y \ 1),y) = x * T(1 / y,x). ((1 / x) * y) * (x \ 1) = x \ (y * (x \ 1)). ((x * x) \ y) \ y = T(x * x,y). T((1 / x) * y,y) = T(x \ y,x). T(x \ y,x) = T((1 / x) * y,y). ((x * y) \ z) * (y \ (x \ 1)) = (y \ (x \ 1)) * (z * (y \ (x \ 1))). (x \ (y \ 1)) * (z * (x \ (y \ 1))) = ((y * x) \ z) * (x \ (y \ 1)). T(1 / x,R(x,y,z)) = R(x,y,z) \ (R(x,y,z) / x). R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). (R(x,y,z) / x) / R(x,y,z) = 1 / x. R(x,y,z) * u != R(x,y,z) / x | T(1 / x,R(x,y,z)) = u. R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). x * ((x \ 1) * (y \ 1)) = (x * y) \ x. x != T(T(y,z),z \ 1) | x = L(y,z,z). (x \ 1) \ (x \ y) = L(y,x,x). (x \ 1) \ (x \ y) = L(y,x,1 / x). (x \ 1) \ y = L(x * y,x,x). L(x * y,x,x) = (x \ 1) \ y. (x \ 1) * L(y,x,x) = x \ y. (x \ 1) * L(y,x,x) != z | z = x \ y. (x \ 1) * L(y,x,x) != z | x \ y = z. x != L(y,z,z) | x = (z * (1 / y)) \ z. (x \ 1) \ y = (x * (1 / (x * y))) \ x. (x * (1 / (x * y))) \ x = (x \ 1) \ y. x * y != L(z * u,z,z) | x \ ((z \ 1) \ u) = y. (1 / x) \ ((x \ 1) \ y) = x * (x * y). L(((1 / x) \ y) * z,x,x) = (x \ 1) \ ((y * (z / x)) * x). (x \ 1) \ ((y * (z / x)) * x) = L(((1 / x) \ y) * z,x,x). ((x \ 1) \ y) * x = (1 / (x * y)) \ x. (1 / (x * y)) \ x = ((x \ 1) \ y) * x. ((x \ 1) \ y) * (1 / x) = (x * y) / x. x \ y != (x \ 1) * z | L(y,x,x) = z. (x \ 1) * L(L(y,x,x),z,u) = x \ L(y,z,u). (x * (y \ 1)) * L(z,y / x,y / x) = (y / x) \ z. (x \ 1) * ((1 / x) * y) = x \ (x \ y). (x \ 1) * (y * (x \ 1)) = x \ (y / x). (x \ 1) * ((y \ x) / x) = x \ (y \ 1). (x \ 1) * ((x * y) \ x) = x \ (y \ 1). x != (y * z) * (z \ 1) | x = L(y,z,z). x \ ((1 / x) \ y) = L(y,x,x). x \ ((1 / x) \ y) != z | L(y,x,x) = z. x \ ((1 / x) \ y) = L(y,x,1 / x). x != L(y \ 1,z,z) | x = (z * y) \ z. x \ ((1 / x) \ (y \ 1)) = (x * y) \ x. x * L(y,x,x) = (1 / x) \ y. x * L(y,x,x) = ((1 / x) \ y) * 1. ((1 / x) \ y) * 1 = x * L(y,x,x). x \ (x / (y \ 1)) = L(y,x,x). x \ (x / y) = L(1 / y,x,x). L(1 / x,y,y) = y \ (y / x). (x * (1 / y)) \ (((y \ 1) \ (1 / x)) \ z) = L(z,x * (1 / y),x * (1 / y)). x * ((1 / x) * y) = (1 / x) \ (x \ y). (1 / x) \ (x \ y) = x * ((1 / x) * y). x * (y / (1 / x)) = (1 / x) \ (y * x). (1 / x) \ (y * x) = x * (y / (1 / x)). x * ((x \ 1) \ y) = (1 / x) \ (x * y). (1 / x) \ (x * y) = x * ((x \ 1) \ y). L(1 / x,y,1 / y) = y \ (y / x). L(x,y,1 / y) \ y = (x \ 1) * y. x * y != ((1 / x) \ z) * u | y = (z * (u / x)) * x. L(x,y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = L(x,y,y). x * y = L(x / (1 / y),y,y). L(x / (1 / y),y,y) = x * y. L(x,y,y) / y = x * (1 / y). x * y != L(z \ u,z,z) | ((1 / z) * u) / y = x. ((1 / x) * y) / x = (x \ y) * (1 / x). ((1 / x) \ y) * L(z,x,x) = x * ((y * (z * (1 / x))) * x). x * ((y * (z * (1 / x))) * x) = ((1 / x) \ y) * L(z,x,x). (x \ 1) * (y * x) = x \ (y / (1 / x)). x \ (y / (1 / x)) = (x \ 1) * (y * x). x * (1 / y) != z / y | x = L(z,y,y). x = L(L(x,y,y),y,y). L(L(x,y,y),y,y) = x. L((x \ 1) \ y,x,x) = x * y. (x \ 1) * y = x \ L(y,x,x). x \ L(y,x,x) = (x \ 1) * y. L(x,y,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x,x). x * ((x \ 1) * y) != z | z = L(y,x,x). x * ((x \ 1) * y) != z | L(y,x,x) = z. x \ (y * (x \ 1)) = (x \ 1) * (y / x). L(x,y \ 1,y) = L(x,y,y). x * ((x \ 1) * y) = T(T(y,x),x \ 1). T(T(x,y),y \ 1) = y * ((y \ 1) * x). x != L(y * z,z,z) | x = y / (1 / z). x * ((x \ 1) * (y * x)) = y / (1 / x). x * y != L(z,x,x) | T(z * (1 / x),x) = y. T(x * (1 / y),y) = (y \ 1) * x. (x * y) * ((y \ (x \ 1)) * z) = L(z,x * y,x * y). (x / y) * ((y * (x \ 1)) * z) = L(z,x / y,x / y). ((1 / x) * y) * ((y \ x) * z) = L(z,(1 / x) * y,(1 / x) * y). L(x,(1 / y) * z,(1 / y) * z) = ((1 / y) * z) * ((z \ y) * x). x * ((y \ x) \ 1) = L(T(y,y \ 1),x,x). L(T(x,x \ 1),y,y) = y * ((x \ y) \ 1). L(x,y,y) != z | L(x,y \ 1,y) = z. x != L(y,z,z) | x = (z \ (z / y)) \ 1. L(x,y \ 1,y) = (y \ (y / x)) \ 1. (x \ (x / y)) \ 1 = L(y,x \ 1,x). L(x,y,y) != z | y * ((y \ 1) * x) = z. x != y * ((1 / y) \ z) | x = (y * y) * z. T(((1 / (x \ 1)) \ y) * (1 / x),x) = ((x \ 1) * (x \ 1)) * y. T(x * y,y \ 1) = ((y \ 1) \ 1) * x. ((1 / x) * y) \ x = ((x \ y) \ 1) * x. ((x \ y) \ 1) \ x = ((y \ x) \ 1) * x. ((1 / x) * (y * (z \ 1))) \ (z / y) = ((z / y) * x) * (z / y). (x * T(x \ 1,y)) * x = x * (x * T(x \ 1,y)). x / ((x \ 1) \ y) != z | x * (1 / (x * y)) = z. T(T(x * y,y \ 1),y) = x / (1 / y). (x * ((1 / y) * z)) \ x != u | L(z \ y,x,x) = u. (((x / y) * x) / z) \ x = (z / x) * y. (((x / y) * x) / z) \ x != u | u = (z / x) * y. (((x / y) * x) / z) \ x != u | (z / x) * y = u. T(x * (y \ 1),y) != z | (1 / y) * x = z. (1 / x) * R(x,y,z) != u | u = R(x,y,z) / x. (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. (x \ 1) * (y * (x \ 1)) != z | x \ (y / x) = z. (1 / (x * y)) \ ((y \ (x \ 1)) \ z) = (x * y) * ((x * y) * z). (1 / (x * y)) \ x != z * x | (x \ 1) \ y = z. x * y != (z * T(u,z)) / z | u / y = x. x / (1 / y) = (y \ 1) \ T(x,y). (x \ 1) \ T(y,x) = y / (1 / x). (x \ (y / x)) \ 1 = (y * (x \ 1)) \ ((x \ 1) \ 1). (x * (y \ 1)) \ ((y \ 1) \ 1) = (y \ (x / y)) \ 1. (x \ 1) * (1 / T(x,y)) = x \ (T(x,y) \ 1). T(x * ((1 / x) * y),x) = (x \ y) * x. (x * ((x \ 1) \ y)) \ x = y \ (x \ 1). x != ((1 / y) * z) / u | x = 1 / (u * (z \ y)). (x \ y) * (1 / x) = 1 / (x * (y \ x)). 1 / (x * (y \ x)) = (x \ y) * (1 / x). ((x \ y) / x) / x = (x \ (y / x)) * (1 / x). (x \ (y / x)) * (1 / x) = ((x \ y) / x) / x. (x * y) * ((y \ (x \ 1)) * z) != u | L(z,x * y,x * y) = u. (((1 / x) * y) * z) * ((z \ (y \ x)) * u) != w | L(u,((1 / x) * y) * z,((1 / x) * y) * z) = w. x * y != T(z,x \ 1) | y = (1 / z) \ (x \ 1). (x \ 1) * y = (1 / T(y,x)) \ (x \ 1). (1 / T(x,y)) \ (y \ 1) = (y \ 1) * x. T(x * y,y \ 1) = T(y,y \ 1) * x. x != T(T(y * z,y),z) | x = y * z. (x \ 1) / (1 / x) = (x \ 1) * x. (x \ 1) / (1 / x) = K(x \ 1,x). x \ (1 / (1 / x)) = K(x \ 1,x). K(x \ 1,x) * (1 / x) = x \ 1. K(x \ 1,x) \ (x \ 1) = 1 / x. x * K(x \ 1,x) = 1 / (1 / x). (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). ((x * (1 / y)) / z) \ x = (z / x) * (x * y). (1 / ((1 / x) * y)) \ x = (x \ y) * x. (x * y) \ x = ((x \ 1) * y) \ (x \ 1). ((x \ 1) * y) \ (x \ 1) = (x * y) \ x. (x \ (y \ 1)) * y = ((y \ 1) \ x) \ y. ((x \ 1) \ y) \ x = (y \ (x \ 1)) * x. 1 / ((x * y) * (y \ (y / x))) = ((x * y) \ ((x * y) * x)) * (1 / (x * y)). ((x * y) \ ((x * y) * x)) * (1 / (x * y)) = 1 / ((x * y) * (y \ (y / x))). (x \ 1) / ((x \ 1) * y) = 1 / T(y,x). (1 / (x * y)) \ (y \ 1) = (y \ 1) * ((1 / y) \ x). x * y != T(z,z \ 1) * u | x \ T(u * z,z \ 1) = y. (T(x,x \ 1) * T(x,x \ 1)) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). (((x \ y) \ 1) \ 1) \ y = (y \ x) * y. x != y / (y * z) | x = (y * (1 / z)) / y. 1 / T(x,y) = ((y \ 1) * (1 / x)) / (y \ 1). ((x \ 1) * (1 / y)) / (x \ 1) = 1 / T(y,x). ((x \ 1) \ 1) \ y = (y \ (y / x)) * y. (x * ((y \ 1) \ 1)) \ x = x \ (x / y). x / (x \ (x / y)) = x * ((y \ 1) \ 1). x / (x \ y) = x * (((y \ x) \ 1) \ 1). x * (((y \ x) \ 1) \ 1) = x / (x \ y). 1 / (x / (x \ y)) = ((y \ x) \ 1) / x. ((x \ y) \ 1) / y = 1 / (y / (y \ x)). (x \ y) \ (1 / y) = 1 / (y / (y \ x)). 1 / (x / (x \ y)) = (y \ x) \ (1 / x). 1 / (x / y) = L(y / x,y,y). L(x / y,x,x) = 1 / (y / x). L(x / y,x,x) != z | 1 / (y / x) = z. x != (y / z) / (1 / z) | x = L(y,z,z). L(x,1 / y,1 / y) = L(x,y,y). L(x,1 / y,1 / y) != z | L(x,y,y) = z. ((1 / x) * (1 / y)) \ (1 / x) != z | L(y,x,x) = z. x * y != z * L(u \ 1,u,w) | (z * ((w * u) \ w)) / y = x. (x * ((y * x) \ y)) / x = L(1 / x,x,y). T(x,L(T(x,y),z,u)) = x. L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). L(T(x,y),z,u) / x = (1 / x) * L(T(x,y),z,u). (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. (x * L(y,z,u)) / x = L((x * y) / x,z,u). L((x * y) / x,z,u) = (x * L(y,z,u)) / x. (x * (y * z)) / (x * y) = L(((x * y) * z) / (x * y),y,x). L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). R(R(x,y,K(y,x)),z,u) * (y * K(y,x)) = (y * K(y,x)) * R((y * K(y,x)) \ (y * x),z,u). (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). T(x,R(T(x,y),z,u)) = x. ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). (x * R(y,z,u)) / x = R((x * y) / x,z,u). R((x * y) / x,z,u) = (x * R(y,z,u)) / x. x * y != R((z * u) / z,w,v5) * z | T(x,y) = y \ (z * R(u,w,v5)). T(((x * y) / x) * z,z \ x) = (z \ x) \ (x * R(y,z,z \ x)). (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). x * y != R((z * u) / z,w,v5) * z | (z * R(u,w,v5)) / y = x. (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. L(x / y,z,u) * y != w | w = y * L(y \ x,z,u). L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. T(L(x / y,z,u),y) != w | w = L(y \ x,z,u). T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). R(x / y,z,u) * y != w | w = y * R(y \ x,z,u). R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. (1 / x) \ (y \ (1 / y)) = x / ((1 / y) \ y). x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). ((1 / x) * y) * (1 / ((y \ x) / z)) = 1 / ((y \ x) / ((y \ x) \ z)). (x \ (x / y)) \ y = (1 / y) \ L(y,x,x). (1 / x) \ L(x,y,y) = (y \ (y / x)) \ x. x != (1 / y) \ L(z,u,u) | x = y / ((u * z) \ u). (x \ (x / y)) \ y = y / ((x * y) \ x). x / ((y * x) \ y) = (y \ (y / x)) \ x. R(T(x \ y,z),u,w) = T(T(R(y / x,u,w),z),x). T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). (x * (y * z)) / (u * z) = (1 / z) \ ((((1 / z) * x) * y) / u). (1 / x) \ ((((1 / x) * y) * z) / u) = (y * (z * x)) / (u * x). (x \ (y * (z * x))) / x = ((1 / x) * y) * z. (x / y) * (y \ 1) = x / (y * y). x != y * (z \ 1) | x = z \ ((z * y) / z). (x \ 1) \ (((1 / (x \ 1)) \ y) * z) = x \ ((x * (y * (z / (x \ 1)))) / x). x * y != (z * (u / w)) * w | (w \ (((1 / w) \ z) * u)) / y = x. (x \ (((1 / x) \ y) * z)) / x = y * (z / x). (x * (y / (1 / z))) * (1 / z) = z / (y \ (((1 / (1 / z)) \ x) \ 1)). x / (y \ (((1 / (1 / x)) \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). x \ ((x / y) * z) = ((1 / y) * (z / x)) * x. ((1 / x) * (y / z)) * z = z \ ((z / x) * y). (1 / x) \ ((L(1 * x,x,x) \ y) * z) = (y * (z / (1 / x))) * (1 / x). (x * (y * (x * y))) \ x = 1 / (y * (x * y)). (x \ (1 / x)) \ y = x * ((x \ 1) \ y). x != ((y * z) \ z) * u | x = T(y \ 1,z) * u. T(x,y) \ (1 / y) = T(x \ 1,y) * (1 / y). T(x \ 1,y) * (1 / y) = T(x,y) \ (1 / y). x != (y \ 1) / (1 / y) | x = K(y \ 1,y). K(1 / x,1 / (1 / x)) = K(x \ 1,x). L(x,x \ 1,x) = 1 / (1 / x). R(1 / (1 / x),y,z) = L(R(x,y,z),x \ 1,x). L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). x != (1 / (y * z)) \ y | x = ((y \ 1) \ z) * y. x * (y * ((x \ 1) \ 1)) = ((x \ 1) \ y) * x. x * y != (1 / (x * z)) \ x | T((x \ 1) \ z,x) = y. T((x \ 1) \ y,x) = y * ((x \ 1) \ 1). T((x \ 1) \ y,x) = y * T(x,x \ 1). x != (y \ 1) * ((z \ 1) \ 1) | x = (z \ y) \ 1. T((x \ 1) \ (y \ 1),x) = (x \ y) \ 1. x * (((x \ y) \ 1) \ 1) = ((x \ 1) \ (y \ 1)) \ x. ((x \ 1) \ (y \ 1)) \ x = x * (((x \ y) \ 1) \ 1). ((x / y) * z) \ x = (1 / x) * ((z / x) \ y). (1 / x) * ((y / x) \ z) = ((x / z) * y) \ x. (x * (y * z)) \ z = (1 / z) * (y \ (x \ z)). (1 / x) * (y \ (z \ x)) = (z * (y * x)) \ x. ((x / y) * (z \ 1)) \ x = (1 / x) * ((z \ (1 / x)) \ y). (1 / x) * ((y \ (1 / x)) \ z) = ((x / z) * (y \ 1)) \ x. x \ ((y \ 1) \ (x \ 1)) = (y \ x) \ (x \ 1). T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). (x \ y) * z != (x \ y) / (y / x) | T(1 / (y / x),x \ y) = z. T(1 / (1 / x),x \ 1) = x. x != T(1 / (1 / y),z) | x = L(T(y,z),1 / y,y). x = L(T(x,x \ 1),1 / x,x). L(T(x,x \ 1),1 / x,x) = x. T(x,y) = T(T(1 / (1 / x),y),x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). x != y \ (z * (y \ 1)) | x = (y \ 1) * (z / y). ((1 / x) * y) * (x \ 1) = (x \ 1) * (y / x). (x \ 1) * y != x \ (z * (x \ 1)) | T((1 / x) * z,x \ 1) = y. T((1 / x) * y,x \ 1) = y / x. T(x,y \ 1) = ((1 / y) \ x) / y. ((1 / x) \ y) / x = T(y,x \ 1). (1 / (x / y)) \ y = y * ((1 / y) * x). T(x,y \ 1) * y = (1 / y) \ x. T(x,y \ 1) * (((1 / y) \ x) / y) = ((1 / y) \ x) * (y \ (((1 / y) \ x) / y)). ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = T(y,x \ 1) * (((1 / x) \ y) / x). x * y != (1 / y) \ z | x = T(z,1 / y). T(x,y \ 1) = T(x,1 / y). T(x,1 / y) = T(x,y \ 1). T(x,y) * (1 / y) = (1 / (1 / y)) \ x. (1 / (1 / x)) \ y = T(y,x) * (1 / x). ((1 / x) \ (y \ 1)) * y = (1 / y) \ ((y \ 1) * x). (1 / x) \ ((x \ 1) * y) = ((1 / y) \ (x \ 1)) * x. T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). T(x,1 / (1 / y)) = T(x,y). (1 / x) * T(y,x \ 1) = y * (1 / x). x != T(T(y * z,z \ 1),z) | x = y / (1 / z). T(T(x * y,y \ 1),(y \ 1) \ 1) = x / (1 / y). x * T(y,(x \ 1) \ 1) = y * x. T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)). (1 / (1 / x)) \ y = T(y / (1 / (1 / x)),x). T(x / (1 / (1 / y)),y) = (1 / (1 / y)) \ x. x != (1 / (1 / y)) \ z | x = ((y \ 1) \ 1) \ z. T(x,y) * (1 / y) = ((y \ 1) \ 1) \ x. ((x \ 1) \ 1) \ y = T(y,x) * (1 / x). x != (1 / T(y,z)) * T(y,u) | x = T(y,u) / T(y,z). x * (1 / T(x,y)) = T(x,T(x,y) \ 1) / T(x,y). T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). (1 / x) * (y * (x \ 1)) = (x \ y) * (1 / x). T(x,y) * (1 / y) = T(y,y \ 1) \ x. T(x,x \ 1) \ y = T(y,x) * (1 / x). x != ((y \ 1) \ 1) \ (1 / z) | x = 1 / (z * y). T(1 / x,y) * (1 / y) = 1 / (x * y). T(x \ (1 / T(y,y \ 1)),T(y,y \ 1)) = T(x \ 1,y) * (1 / y). x * y != 1 / z | x = 1 / (y * z). T(1 / x,y) = 1 / ((1 / y) * (x * y)). 1 / ((1 / x) * (y * x)) = T(1 / y,x). 1 / T(x,x * y) = T(1 / x,y). 1 / T(x,y) = T(1 / x,x \ y). T(1 / x,x \ y) = 1 / T(x,y). T(1 / x,y) \ 1 = T(x,x * y). T(x,x * y) = T(1 / x,y) \ 1. T((1 / 1) \ (x * y),(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). x != T(y,z) \ 1 | x = z \ (y \ z). T(x,x * y) = y \ ((1 / x) \ y). T(x \ 1,(x \ 1) * y) = T(x,y) \ 1. x != y \ ((1 / z) \ y) | x = L(T(z,y),y,y). T(x,x * y) = L(T(x,y),y,y). x * y != T(z \ 1,(z \ 1) * u) | x \ (T(z,u) \ 1) = y. (1 / x) \ (T(y,x) \ 1) = (y \ 1) * x. (T(x,y) \ 1) * y = T((x \ 1) * y,y). T((x \ 1) * y,y) = (T(x,y) \ 1) * y. x * y != (1 / y) \ z | x = T(z,y \ 1). x \ 1 = T(T(x,y) \ 1,y \ 1). T(T(x,y) \ 1,y \ 1) = x \ 1. (1 / (1 / x)) * ((y \ 1) * x) = ((1 / x) * (1 / x)) \ (T(y,x) \ 1). ((1 / x) * (1 / x)) \ (T(y,x) \ 1) = (1 / (1 / x)) * ((y \ 1) * x). T((x \ y) \ 1,x \ 1) = (y / x) \ 1. x * (y \ 1) = (T(y,x \ 1) \ 1) * x. (T(x,y \ 1) \ 1) * y = y * (x \ 1). (1 / x) * (y \ 1) = (T(y,x) \ 1) * (1 / x). (T(x,y) \ 1) * (1 / y) = (1 / y) * (x \ 1). ((x \ 1) \ 1) * y = y * ((T(x,y) \ 1) \ 1). x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). x != (y \ 1) * (1 / z) | x = 1 / (z / (1 / y)). x \ (T(x,y) \ 1) = 1 / (T(x,y) / (1 / x)). 1 / (T(x,y) / (1 / x)) = x \ (T(x,y) \ 1). T(1 / T(x,y),y \ 1) = 1 / x. L((x * y) / x,z,u) * x != w | w = x * L(y,z,u). L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (x \ (y * z)) / x = ((1 / x) * y) * (z / x). ((1 / x) * y) * (z / x) = (x \ (y * z)) / x. ((1 / x) * (1 / (y * z))) * y = y \ ((y / x) * (1 / z)). (x \ ((x / y) * z)) \ 1 = x \ ((z / x) \ y). ((x \ (x \ 1)) * (y / z)) * z = z \ ((z / (x * x)) * y). (1 / x) * ((y / x) \ 1) = (x * y) \ x. (((x / y) * z) \ x) \ 1 = ((z / x) \ y) \ x. x \ (y \ (x \ 1)) = ((1 / y) \ x) \ (x \ 1). ((1 / x) \ y) \ (y \ 1) = y \ (x \ (y \ 1)). T((1 / x) \ (y \ 1),y) = (1 / (1 / y)) \ x. (1 / x) * (y \ 1) = (x \ (y \ x)) * (1 / x). (x \ (y \ x)) * (1 / x) = (1 / x) * (y \ 1). (T(x,y) \ 1) * (1 / x) = (1 / x) * (T(x,y) \ 1). ((x \ y) \ y) * (1 / y) = (1 / y) * ((x \ 1) \ 1). T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). ((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. (x \ y) \ 1 = T(((x / y) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,x) = (x \ y) \ 1. 1 / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = 1 / T(x,y). (T(x,y \ 1) \ 1) \ y = y * ((x \ 1) \ 1). x * (((x \ y) \ 1) \ 1) = (((x / y) \ 1) \ 1) \ x. (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). x != 1 / (1 / y) | x = y * K(y \ 1,y). T(1 / (1 / x),y) = T(x,y) * K(T(x,y) \ 1,T(x,y)). T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). 1 / (1 / (x \ y)) = T(1 / (1 / (y / x)),x). T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). ((1 / (x * y)) * x) * ((y * z) / (x * y)) = L(z,y,x) / (x * y). ((x \ (y * z)) / x) \ 1 = (z / x) \ (((1 / x) * y) \ 1). (x / y) \ (((1 / y) * z) \ 1) = ((y \ (z * x)) / y) \ 1. L(x,y,y) * (z / y) = (y \ ((y * x) * z)) / y. (x \ ((x * y) * z)) / x = L(y,x,x) * (z / x). (x \ (y * z)) \ 1 = x \ ((z / x) \ (y \ x)). x \ ((y / x) \ (z \ x)) = (x \ (z * y)) \ 1. K(x \ ((y / x) \ z),x \ ((x / z) * y)) = ((x \ ((x / z) * y)) \ 1) * (x \ ((x / z) * y)). ((x \ ((x / y) * z)) \ 1) * (x \ ((x / y) * z)) = K(x \ ((z / x) \ y),x \ ((x / y) * z)). ((x / y) \ (((x / y) / z) * 1)) \ 1 = (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z). (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((x / y) \ (((x / y) / z) * 1)) \ 1. L(((x \ 1) \ (((x \ 1) / y) * z)) \ 1,x,x) = x * ((z / (x \ 1)) \ y). T((1 / x) \ (y \ 1),y) = ((y \ 1) \ 1) \ x. x != (1 / y) * ((z / y) \ 1) | x = (y * z) \ y. (x \ ((y / x) \ x)) * (1 / x) = (x * y) \ x. (x \ (y / x)) * (1 / x) = (1 / x) * ((x * (x / y)) \ 1). (1 / x) * ((x * (x / y)) \ 1) = (x \ (y / x)) * (1 / x). (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. x * (1 / (1 / (x \ y))) = (1 / (1 / (y / x))) * x. (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). (x * (y * z)) \ ((z / (x * (y * z))) \ ((x * y) \ (x * (y * z)))) = a(x,y,z) \ 1. ((x \ y) \ 1) * (1 / x) = (x * y) \ x. (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). (x * y) \ (y * (y \ x)) = L(y \ 1,T(x,y),y). x != (y * T(z,u)) / y | x = T((y * z) / y,u). R(x,y,T(x,y)) = T(((x * y) * x) / (x * y),y). T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). (x * y) * (y \ (x \ z)) = R(1 / z,x,y) \ 1. (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). x != L(y \ z,y,u) | x = (u * y) \ (u * z). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. T(x / (y * z),u) * (y * z) = (T((x / z) / y,u) * y) * z. (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). (x * y) * ((z * ((x * y) \ (u * y))) / z) = ((z * R(u / x,x,y)) / z) * (x * y). ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((R(z / x,x,y) \ 1) \ 1) * (x * y). ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. (x \ y) * ((z \ 1) \ 1) != u | (z \ ((1 / y) * x)) \ 1 = u. (1 / (x * y)) * ((z \ 1) \ 1) != u | (z \ ((y \ (x \ 1)) \ 1)) \ 1 = u. (x \ (y \ (z \ 1))) / u != w | ((z * y) * x) \ (1 / u) = w. ((x \ 1) / y) \ (1 / y) = y / (y * (1 / x)). (x \ (1 / y)) \ (1 / y) = y / (y * (1 / x)). T(x,x \ (1 / y)) = y / (y * (1 / x)). T(x \ y,x) \ ((1 / z) * u) != w | T(y \ x,x) / (u \ z) = w. (1 / x) \ L(y,z,z) != u | x / ((z * y) \ z) = u. x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). x \ (y \ x) = R(T(1 / y,x),y,y \ x). R(T(1 / x,y),x,x \ y) = y \ (x \ y). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). x != L(T(y,z \ 1),z \ 1,z) | x = z * (y * (z \ 1)). T(x * y,x \ 1) = x * (((x \ 1) \ y) * (x \ 1)). x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). x != L(T(y,z),z,1 / z) | x = (1 / z) * (y * z). T((1 / x) * y,x) = (1 / x) * ((x \ y) * x). (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). x * y != L(T(z \ u,w),z,1 / z) | x \ T((1 / z) * u,w) = y. (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). x * y != R(T(z / u,w),u,u \ 1) | T(z * (u \ 1),w) / y = x. T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. L(x,y,(y * x) / y) * y = y * T(x,y * x). x != L(y \ 1,y,z) * u | x = ((z * y) \ z) * u. x * (y * T(y \ 1,x * y)) = ((x * y) \ x) * (x * y). ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). x * y != (z * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y. ((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,(x * y) * a(z,x,y)),x * y,a(z,x,y)). R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. (x \ y) \ 1 != z | (y \ 1) * T(x,x \ 1) = z. T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). x != T(L(y,z,u),w) | x = L(T(y,w),z,u). T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). R(1 / x,x,x \ y) != z | (x \ y) / y = z. (x \ (x \ 1)) * y != z | (1 / x) * (x \ y) = z. x != ((y * z) \ y) \ 1 | x = y * ((z \ y) \ 1). L(x,y * x,1 / (y * x)) = y * ((x \ y) \ 1). L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). ((x \ 1) \ 1) \ y != z | 1 / ((y \ 1) * x) = z. x * (((1 / y) * z) * x) != u | (x / y) * (z * x) = u. (x \ 1) * L(y * (x \ 1),z,u) = x \ L(y / x,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). ((x * (1 / y)) / z) \ x != u | (z / x) * (x * y) = u. L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. (x * y) \ x = L(y \ 1,T(x,y),y). L(x \ 1,T(y,x),x) = (y * x) \ y. x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. L(x,y * x,y * x) = y * ((x \ y) \ 1). x != L(T(y,y \ 1),1 / y,y) | x = y. T(x,K(x,1 / x)) = x. T(1 / x,K(x \ 1,x)) = 1 / x. K(x \ 1,x) * L(1 / x,y,z) = L(1 / x,y,z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). x != T(y,z) * (y \ 1) | x = y \ T(y,z). (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). x * y != L(z \ 1,z,u) | ((u * z) \ u) / y = x. ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. x != (1 / y) * (z * y) | x = T(z,z * y). x = T(x,x * ((y * x) \ y)). T(x,x * ((y * x) \ y)) = x. T(x \ y,(x \ y) * (y \ x)) = x \ y. (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). T(x / y,(x / y) * (y / x)) = x / y. x * y != T(z \ u,(z \ u) * (u \ z)) | T(x,y) = y \ (z \ u). T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). x * y != T(z / u,(z / u) * (u / z)) | x \ (z / u) = y. (1 / (x / y)) \ (y / x) = (y / x) * (x / y). (x / y) / ((y / x) \ 1) = (y / x) * (x / y). x / (((x \ y) / y) \ 1) = ((x \ y) / y) * (y / (x \ y)). ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). (1 / x) * L(1 / x,y,y) = ((y * x) \ y) / x. (x \ 1) * (((y \ 1) \ 1) * (z \ 1)) = ((y * (1 / z)) \ x) \ 1. (((x \ (y / z)) \ 1) \ (z * (y \ 1))) \ 1 = (z * (y \ 1)) * ((((x \ 1) \ 1) \ (z * (y \ 1))) \ 1). (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = (((z \ (y / x)) \ 1) \ (x * (y \ 1))) \ 1. (1 / x) \ (((1 / y) * z) * T((1 / y) * z,u)) = x / ((z * T((1 / y) * z,u)) \ y). (x * (1 / y)) * ((y \ 1) * x) = x * ((1 / y) * T(x * (1 / y),y)). x * ((1 / y) * T(x * (1 / y),y)) = (x * (1 / y)) * ((y \ 1) * x). ((x * y) \ z) \ 1 = (z \ 1) * (1 / ((1 / y) / x)). (x \ 1) * (1 / ((1 / y) / z)) = ((z * y) \ x) \ 1. K((x \ 1) * (1 / (y / z)),(z * (y \ 1)) \ x) = (((z * (y \ 1)) \ x) \ 1) * ((z * (y \ 1)) \ x). (((x \ 1) * (1 / (y / z))) \ 1) \ ((z * (y \ 1)) \ x) = ((1 \ ((z * (y \ 1)) \ x)) \ 1) * ((z * (y \ 1)) \ x). ((x \ (y \ 1)) \ 1) * ((1 / z) * u) = 1 / ((u \ z) / (y * x)). ((x \ 1) \ 1) * (((1 / y) * z) * u) = 1 / ((u \ (z \ y)) / x). x \ (x / (y / (1 / z))) = (x * ((y \ 1) \ z)) \ x. (x * ((y \ 1) \ z)) \ x = x \ (x / (y / (1 / z))). (x * y) \ ((y / z) \ 1) = y \ ((y / (x \ z)) \ 1). (x \ (y \ z)) * (z \ 1) = z * ((y * (x * z)) \ 1). T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). (x \ 1) * L(x \ 1,y,z) = x \ L(1 / x,y,z). x != (y \ (z \ 1)) * (z \ 1) | x = y \ (z \ (1 / z)). x * (y \ (1 / y)) = (1 / x) \ (y \ (1 / y)). (1 / x) \ (y \ (1 / y)) = x * (y \ (1 / y)). x != (1 / y) \ (z \ (1 / z)) | x = y / ((1 / z) \ z). x * (y \ (1 / y)) = x / ((1 / y) \ y). x / ((1 / y) \ y) = x * (y \ (1 / y)). x / (y \ (1 / y)) = x * ((1 / y) \ y). x != R(L(y,z,u),w,v5) | x = L(R(y,w,v5),z,u). (((1 / x) \ y) * z) / (y * z) = L(R(x,y,z),y,y). L(R(x,y,z),y,y) = (((1 / x) \ y) * z) / (y * z). T(x,x * T(x \ 1,y)) = x. R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). L(x,y,z) * (1 / x) = L(T(x,1 / x),y,z) / x. L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. ((x * (y / z)) / x) * z != u | u = z * ((x * (z \ y)) / x). ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). T((x * y) \ (z * y),x) = R(T(x \ z,x * y),x,y). R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). ((x \ 1) \ 1) \ y = y * (((y \ (x \ y)) \ 1) \ 1). x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. x != (y \ (z \ 1)) * z | x = ((z \ 1) \ y) \ z. (1 / x) \ ((x \ 1) * y) = ((x \ 1) \ (1 / y)) \ x. ((x \ 1) \ (1 / y)) \ x = (1 / x) \ ((x \ 1) * y). x * y != T(T(z * u,u \ 1),(u \ 1) \ 1) | x \ (z / (1 / u)) = y. (x \ 1) \ (y / (1 / x)) = ((x \ 1) \ 1) * (y * x). ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. (((x / y) \ 1) \ 1) * y != z | z = y * (((y \ x) \ 1) \ 1). (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). T(x,y) * (z \ 1) = z \ T(z * (x * (z \ 1)),y). x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). (1 / x) * T(y,z) = T(((1 / x) * y) * x,z) / x. T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. (1 / x) \ T(y,z) = x * T(x \ ((1 / x) \ y),z). x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). x != T(y / z,u) * z | x = z * T(z \ y,u). T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). T(x,x * L(x \ 1,y,z)) = x. (x * ((y \ (z \ 1)) \ u)) \ x = x \ (x / ((z * y) / (1 / u))). (x * y) \ (z * (y \ 1)) = y \ ((y / (x \ z)) \ 1). (x \ (y \ z)) * (z \ 1) = z * ((x * z) \ (y \ 1)). T(x,x * R(x \ 1,y,z)) = x. T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). (((x * y) \ x) \ 1) * L(((x * y) \ x) \ 1,z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). 1 / (x \ L(1 / x,y,y)) = (y \ (y / (x \ 1))) / (x \ 1). (x \ (x / (y \ 1))) / (y \ 1) = 1 / (y \ L(1 / y,x,x)). (x \ 1) * ((y * x) \ y) = x \ L(1 / x,y,y). (x \ 1) * ((y * x) \ y) = x \ (y \ (y / x)). L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). x * (1 / T(y,x)) = ((y \ 1) \ 1) \ x. ((x \ 1) \ 1) \ y = y * (1 / T(x,y)). ((x \ 1) \ y) \ y = 1 / T(x,y). (((x \ y) \ 1) \ 1) \ (y \ 1) = (y \ 1) * (x * (y \ 1)). ((x \ 1) \ y) \ y = T(x \ 1,x * y). T(x \ 1,x * y) = ((x \ 1) \ y) \ y. ((x \ 1) \ y) * (1 / T(x,y)) = y. x / T(y \ 1,y * x) = (y \ 1) \ x. (1 / (x * (y * z))) \ (z \ (y \ 1)) = (1 / (z \ (y \ 1))) \ (((z \ (y \ 1)) \ 1) * x). (1 / (x \ (y \ 1))) \ (((x \ (y \ 1)) \ 1) * z) = (1 / (z * (y * x))) \ (x \ (y \ 1)). x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). (x \ 1) * T((x \ 1) \ y,z) != u | u = x \ T(x * y,z). (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. T(x,y) / x = (1 / x) * T((1 / x) \ 1,y). (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). x != (y \ 1) * T((y \ 1) \ z,u) | x = y \ T(y * z,u). T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). (x * y) \ (z * (y \ 1)) = y \ ((x \ z) * (y \ 1)). x != (y \ z) * ((u \ 1) \ 1) | x = (u \ ((1 / z) * y)) \ 1. (x \ 1) * ((y * (x \ 1)) \ (z \ 1)) = (x \ ((1 / (z \ (x \ 1))) * y)) \ 1. (x \ ((1 / (y \ (x \ 1))) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ (y \ 1)). (x \ (y \ (1 / z))) * z = (1 / z) * ((x * (1 / z)) \ (y \ 1)). (1 / x) * ((y * (1 / x)) \ (z \ 1)) = (y \ (z \ (1 / x))) * x. T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). x != (1 / y) * T(z,y \ 1) | x = z * (1 / y). T(x,y \ 1) / y = ((1 / y) \ (x / y)) * (1 / y). ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. (x * y) \ (z * (y \ 1)) = (y \ 1) * ((x \ z) / y). ((1 / (x \ y)) \ x) * (1 / (x \ y)) = T(y,(x \ y) \ 1) / (x \ y). T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). (x * y) \ (z \ 1) = (y \ 1) * ((x \ (z \ y)) / y). (x \ 1) * ((y \ (z \ x)) / x) = (y * x) \ (z \ 1). a(x,y,z) * (z \ ((x * y) \ 1)) = (x * (y * z)) \ 1. K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). (x * y) * L(x * y,z,u) = x * (y * L(x * y,z,u)). x != y * (z * (z \ u)) | x = y * u. K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). L(x \ (y / z),x,1 / y) != u | (x \ y) / z = u. L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. x \ R(x * y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. R(x * y,z,u) / y = R(x / (1 / y),z,u) * (1 / y). R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). (x / (y * z)) \ (x / z) = R(y,z,x \ 1). ((x * y) / (z * y)) \ x = R(z,y,(x * y) \ 1). R(x,y,1 \ 1) * (1 / y) = (x * y) * ((1 / y) * (1 / y)). (x * y) * ((1 / y) * (1 / y)) = R(x,y,1 \ 1) * (1 / y). ((x * y) / (z * y)) \ x = R(z,y,y \ (x \ 1)). ((x * (1 / y)) / (z / y)) \ x = R(L(z,y,y),1 / y,(1 / y) \ (x \ 1)). R(L(x,y,y),1 / y,(1 / y) \ (z \ 1)) = ((z * (1 / y)) / (x / y)) \ z. (x * (x \ (y \ 1))) * ((x \ (y \ 1)) \ (x \ z)) = (((y * x) / ((1 / z) * x)) \ y) \ 1. L(x \ T(x,y),x,y) = T((y * x) \ (x * y),x \ 1). T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. x \ (T(y * x,y) * z) != u | (y * (z / x)) * x = u. ((x \ (y / x)) \ 1) \ 1 = (y \ x) \ (1 / x). R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. ((1 / x) * ((y \ 1) \ 1)) * (((1 / x) \ (((y \ x) \ x) \ 1)) * z) = L(z,((y \ x) \ x) * (1 / x),((y \ x) \ x) * (1 / x)). L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / z) \ (((y \ z) \ z) \ 1)) * x). (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). a(x,y,z) * (z \ (y \ (x \ 1))) = (x * (y * z)) \ 1. (x \ 1) * y != K(x \ 1,x) * z | L(x \ y,x,x \ 1) = z. K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. x != L(y \ T(y,z),y,z) | x = K(y,z). T((x * y) \ (y * x),y \ 1) = K(y,x). K(x,y) = T((y * x) \ (x * y),x \ 1). K(x,y) = T(K(x,y),x \ 1). T(K(x,y),x \ 1) = K(x,y). (x * K(x,y)) * (x \ 1) = K(x,y). T(x \ 1,K(x,y)) = x \ 1. x * y != T(K(z,u),z \ 1) | K(z,u) / y = x. K(x,y) / (x \ 1) = x * K(x,y). (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. K(x,y) * x = (1 / x) \ K(x,y). (1 / x) \ K(x,y) = K(x,y) * x. x * K(x \ 1,y) = K(x \ 1,y) * x. K(x \ 1,y) * x = x * K(x \ 1,y). K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). x != y * K(y \ 1,y) | x = 1 / (1 / y). K(x \ 1,x) * x = 1 / (1 / x). T(x,K(x \ 1,y)) = x. T(1 / x,K(x,y)) = 1 / x. R(1 / (x / y),x / y,y) = T((1 * y) / x,K(x / y,z)). T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). x != L(y \ 1,y,z) | x = (z * y) \ z. T((x * y) \ x,K(y,z)) = (x * y) \ x. T(K(x,y),(z * x) \ z) = K(x,y). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,z)) = T(K(y,z),((x * y) \ x) \ 1). x * y != (z * u) \ 1 | x \ (u \ (z \ 1)) = y. a(x,y,z) \ ((y * z) \ (x \ 1)) = z \ (y \ (x \ 1)). x \ ((y * z) / x) = (x \ y) * (z * (x \ 1)). (x \ y) * (z * (x \ 1)) = x \ ((y * z) / x). ((x \ 1) \ 1) * ((x \ (y / z)) \ 1) = ((x \ 1) \ z) * ((y \ 1) * ((x \ 1) \ 1)). ((x \ 1) \ y) * ((z \ 1) * ((x \ 1) \ 1)) = ((x \ 1) \ 1) * ((x \ (z / y)) \ 1). x * (y * (z \ 1)) = z \ (((z * x) * y) / z). x \ (((x * y) * z) / x) = y * (z * (x \ 1)). 1 / (x \ ((y * z) / x)) = (x / z) / (x \ y). (x \ y) * ((z * x) * (x \ 1)) = x \ (x / (z \ (y \ x))). ((x \ 1) \ y) * ((x \ (z / u)) \ 1) = (x \ 1) \ ((y * (u * (z \ 1))) / (x \ 1)). (x \ 1) \ ((y * (z * (u \ 1))) / (x \ 1)) = ((x \ 1) \ y) * ((x \ (u / z)) \ 1). x * (y * (z * (x \ 1))) = ((x * y) * z) / x. x / (x \ (y * z)) = (x / z) / (x \ y). (x / y) / (x \ z) = x / (x \ (z * y)). (x / y) / z = x / (x \ ((x * z) * y)). x / (x \ ((x * y) * z)) = (x / z) / y. ((x / y) / z) \ x = x \ ((x * z) * y). (1 / x) * ((x / y) / z) = 1 / (x \ ((x * z) * y)). 1 / (x \ ((x * y) * z)) = (1 / x) * ((x / z) / y). (x * ((x / y) / z)) \ x = (x \ ((x * z) * y)) / x. (x \ ((x * y) * z)) / x = (x * ((x / z) / y)) \ x. (x / y) \ (x * z) = (x * z) \ (((x * z) * y) * z). (x * y) \ (((x * y) * z) * y) = (x / z) \ (x * y). ((x / y) / (z \ (z \ 1))) \ x = x \ ((x / (z * z)) * y). (((x / y) * x) / z) \ x = x \ ((x * z) * ((1 / x) * y)). x \ ((x * y) * ((1 / x) * z)) = (((x / z) * x) / y) \ x. (1 / x) \ (x \ ((x * y) * z)) = (((x / z) / y) / x) \ x. ((x * (1 / y)) / z) \ x = x \ ((x * z) * L(y,x,x)). x \ ((x * y) * L(z,x,x)) = ((x * (1 / z)) / y) \ x. x != (y \ ((y * z) * u)) / y | x = L(z,y,y) * (u / y). (x * ((x / y) / z)) \ x = L(z,x,x) * (y / x). x != y * (T(z,u) / u) | x = y * ((1 / u) * z). (x * ((x / T(y,x)) / z)) \ x = L(z,x,x) * ((1 / x) * y). x * y != (z * ((z / u) / w)) \ z | (L(w,z,z) * (u / z)) / y = x. (L(x,y,y) * (z / y)) / (1 / y) = (y \ ((y / z) / x)) \ 1. (T(x,y) * (((1 / y) * x) / z)) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). (T(x,y) * (T(x / y,x) / z)) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). (x * ((1 / y) * (x / z))) \ x = L(T(y,x / z),x,x) * (z / x). L(T(x,y / z),y,y) * (z / y) = (y * ((1 / x) * (y / z))) \ y. x != T(((y / z) \ 1) \ 1,z) | x = ((z \ y) \ 1) \ 1. T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. x * y != (x \ 1) \ 1 | y = K(x,x \ 1). K(x * y,y \ (x \ 1)) = K(x * y,(x * y) \ 1). K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). (1 / x) * (y * ((1 / x) * y)) = (y \ x) \ ((1 / x) * y). ((x \ y) \ ((1 / y) * x)) \ 1 = ((1 / y) * x) \ (x \ y). x != L(y,z,u) * (y \ 1) | x = y \ L(y,z,u). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. ((x \ 1) \ y) * L(1 / T(x,y),z,u) = L(x \ 1,z,u) * ((x \ 1) \ y). T(x \ 1,x \ L(x,y,z)) = x \ 1. (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). x != R(y,z,u) * (y \ 1) | x = y \ R(y,z,u). (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). x * y != R(z,u,w) * x | y = R(T(z,x),u,w). R((x \ y) \ y,z,u) = R(T(x,x \ y),z,u). R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). x * y != R(T(z,z \ u),w,v5) | x \ R((z \ u) \ u,w,v5) = y. ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = T(x,x \ y) \ R(T(z,z \ u),w,v5). T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). x != (1 / y) * R(y,z,u) | x = R(y,z,u) / y. R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. L(x \ 1,x,x \ 1) = 1 / x. L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). L(1 / x,y,z) = L(L(x \ 1,y,z),x,x \ 1). L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). T(x,x * (y * T(y \ 1,x))) = x. T(x,y) * (x * z) = x * (z * T(T(x,z),y)). x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). x \ y = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. T(x,y) * (x * (T(x,y) \ z)) = x * z. x * y != z * (u * (u \ w)) | x \ (z * w) = y. T(x,y) \ (x * z) = x * (T(x,y) \ z). T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) * (z * x) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). (x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z). (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). T(x,y) \ (x * (T(x,y) * z)) != u * w | u \ (x * z) = w. T(x,y) \ (x * (T(x,y) * z)) != u * w | (x * z) / w = u. T(x,y) \ (x \ z) = x \ (T(x,y) \ z). x * y = T(x,y) * T(y,x). T(x,y) * T(y,x) = x * y. T(T(x,y),T(y,x)) = T(y,x) \ (x * y). T(x,y) \ (y * x) = T(T(y,x),T(x,y)). T(x,T(y,x)) = T(x,y). (x * y) / T(y,x) = T(x,y). T(x,y) \ (x * y) = T(y,x). x * y != z * (z \ u) | x \ u = y. T(x,x \ y) \ y = T(x \ y,x). a(T(x,y),T(y,x),z) = (T(x,y) * (T(y,x) * z)) \ ((x * y) * z). (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). T(x,T(y / x,z)) * T(x \ y,z) = x * T(y / x,z). R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). ((x \ y) \ y) \ y = T(x \ y,x). T(x \ y,x) = ((x \ y) \ y) \ y. x != T(y,z) | x = z * (T(z,y) \ y). T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). x != T(y,z) | x = (y / T(z,y)) * z. T(x,T(y,x)) = (x / T(y,x)) * y. (x / T(y,x)) * y = T(x,T(y,x)). T(R(x,y,z),u) = R(T(x,T(u,R(x,y,z))),y,z). R(T(x,T(y,R(x,z,u))),z,u) = T(R(x,z,u),y). T(T(x,y),z) = T(T(x,z),T(y,x)). T(T(x,y),T(z,x)) = T(T(x,z),y). T(x,T(T(y,x),z)) = T(x,T(y,z)). T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y * x) = T(x,x / (y \ 1)). T(x,x / (y \ 1)) = T(x,y * x). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(x,T(y,y * x)) = T(x,L(y,x,y)). T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. T(x,y \ x) = T(x,x * (y \ 1)). T(x,x * (y \ 1)) = T(x,y \ x). T(x,(1 / y) \ x) = T(x,x * y). T(x,T(y \ x,z)) = T(x,T(x * (y \ 1),z)). T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). (x \ (y * x)) \ (y * x) = T(x,y). T(x,y) = (x \ (y * x)) \ (y * x). (x / y) * T(y,y \ x) = y * (x / y). x / T(y,x / y) = y \ x. T(x,y / x) != z | (x \ y) \ y = z. (x * (y / x)) * x = y * T(x,x \ y). x / T(y \ x,y) = (y \ x) \ x. L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). T(x,T(y,x)) != z | T(x,y) = z. T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). T(x,x * y) = T(x,T(x * y,y)). T(x,T(x * y,y)) = T(x,x * y). T(x,T(T(y,x),z)) = T(x,T(y,T(z,T(y,x)))). T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). x * y != z * (x / z) | y = K(z,x / z). x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). T(x,y) \ (x * z) != u | u = x * (T(x,y) \ z). T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. T(x,y) * (x \ (T(x,y) \ z)) != u | u = x \ z. T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. x != T(T(y,z),T(u,y)) | x = T(T(y,u),z). T(x,y) \ (y * x) = T(T(y,x),x). T(x,y) * T(T(y,x),x) = y * x. L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). x != y * T(z,z \ y) | x = (z \ 1) \ y. (x * (y / x)) * x = (x \ 1) \ y. (x * T(y,y \ x)) / y = y * (x / y). x * y != (z * (u / z)) * z | x \ (u * T(z,z \ u)) = y. (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). (x * (y / x)) * x != z | (x \ 1) \ y = z. x / y = y * (((y \ 1) * x) / y). x * (((x \ 1) * y) / x) = y / x. (x * y) * x = (x \ 1) \ (y * x). (x \ 1) \ (y * x) = (x * y) * x. x \ (y / x) = ((x \ 1) * y) / x. ((x \ 1) * y) / x = x \ (y / x). (x \ (y / x)) * x = (x \ 1) * y. x * y != (z \ 1) \ (u * z) | ((z * u) * z) / y = x. ((x * ((1 / (x \ 1)) \ y)) * x) / (x \ 1) = y * (x / (x \ 1)). (x \ 1) * ((x * y) * x) = y * x. (x \ y) * x = (x \ 1) * (y * x). (x \ 1) * (y * x) = (x \ y) * x. L(x,y,y \ (z / y)) = ((y \ 1) * z) \ ((y \ (z / y)) * (y * x)). ((x \ 1) * y) \ ((x \ (y / x)) * (x * z)) = L(z,x,x \ (y / x)). (x \ 1) \ (y * x) != z | z = (x * y) * x. (x \ 1) \ (y * x) != z | (x * y) * x = z. x * (y * x) = (x * y) / (1 / x). (x * y) / (1 / x) = x * (y * x). x != (y \ 1) * (z * y) | x = y \ (z / (1 / y)). (x \ y) * x = x \ (y / (1 / x)). x \ (y / (1 / x)) = (x \ y) * x. (1 / x) * (y * ((x \ 1) \ 1)) = (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (1 / x) * (y * ((x \ 1) \ 1)). 1 / ((x \ y) * x) = (((y * x) \ 1) \ 1) \ x. (((x * y) \ 1) \ 1) \ y = 1 / ((y \ x) * y). x * ((x \ y) * x) = y / (1 / x). (x * y) / (1 / y) = y * (T(x,y) * y). (((1 / x) * y) * z) / (((y \ x) \ 1) \ 1) = ((1 / x) * y) * (z * ((1 / x) * y)). x \ y = (x \ (y * (1 / x))) * x. (x \ (y * (1 / x))) * x = x \ y. (x \ 1) \ (y / x) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). x != y / (1 / z) | x = (y / (y / z)) * y. x * ((x \ y) * x) = (y / (y / x)) * y. (x / (x / y)) * x = y * ((y \ x) * y). x * ((x \ y) / x) = y * (1 / x). (x \ (1 / (x / y))) * x = x \ ((y \ 1) \ 1). x * (y / x) = (x * y) * (1 / x). (x * y) * (1 / x) = x * (y / x). (x * T(y,x)) * (1 / x) = x * ((1 / x) * y). (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). x != y * (T(z,y) * y) | x = z * (y * y). (x * y) / (1 / y) = x * (y * y). x / (y * y) = (x * (1 / y)) / y. (x * (1 / y)) / y = x / (y * y). (x / y) * (y * y) != z | x / (1 / y) = z. (x / (y * y)) * y = x * (1 / y). x * y != z * (1 / x) | T(z / (x * x),x) = y. T(x / (y * y),y) = (y \ x) / y. x != y / (z * (u \ 1)) | x = (1 / y) \ (u / z). T(x / ((y * (z \ 1)) * (y * (z \ 1))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). x * y != T(z / (u * u),u) | ((u \ z) / u) / y = x. ((x \ y) / x) / x = (1 / x) * (y / (x * x)). (1 / x) * (y / (x * x)) = ((x \ y) / x) / x. T(x / ((y / z) * (y / z)),y / z) = T(x * (z * (y \ 1)),x) / (y / z). x * y != z * ((z \ x) * z) | T(x / (x / z),x) = y. T(x / (x / y),x) = L(y,y \ x,y). L(T(x,y),x \ z,x) = T(T(z / (z / x),z),y). T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). x * (y * y) != z | (x * y) / (1 / y) = z. T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). x * (x * y) = T(x,y) * (y * x). T(x,y) * (y * x) = x * (x * y). (x / y) * ((y \ x) \ y) = T(y,y \ x). ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). x != T(y,T(T(z,y),u)) | x = T(y,T(z,u)). T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). ((x \ (y \ 1)) \ 1) \ x = 1 / ((x \ y) * x). (x * y) * (1 / y) = y * ((1 / y) * x). (x * ((1 / x) * y)) \ 1 = (1 / x) \ ((y * x) \ 1). ((x * y) / x) * (y \ x) = T(x,y). T(x,y) = ((x * y) / x) * (y \ x). x * y != ((z * u) / z) * (u \ z) | T(z,u) / y = x. T(x,y) / (y \ x) = (x * y) / x. x * y != ((z * u) / z) * (u \ z) | x \ T(z,u) = y. ((x * y) / x) \ T(x,y) = y \ x. T(x,x / y) / y = (x * (x / y)) / x. T(x,x / y) = ((x * (x / y)) / x) * y. ((x * (x / y)) / x) * y = T(x,x / y). T(x,R(1 / y,y,x)) = ((x * R(1 / y,y,x)) / x) * (y * x). ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). T(x,R(y,y \ 1,x)) = ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x). ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). T(x * y,x) / y = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = T(x * y,x) / y. T(T(x,x / y) / y,x) = x / y. ((x * (x / y)) / x) * y != z | z = T(x,x / y). ((x * (x / y)) / x) * y != z | T(x,x / y) = z. T(x / y,y) = T(y \ T(x,x / y),x). T(x \ T(y,y / x),y) = T(y / x,x). x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y). T(x,x / y) = y * ((x * (y \ x)) / x). x * ((y * (x \ y)) / y) = T(y,y / x). x * y != ((z * (z / u)) / z) * u | x \ T(z,z / u) = y. x \ T(y,y / x) = (y * (x \ y)) / y. x != T(y / z,z) | x = z \ y. T(x \ T(y,y / x),y) = x \ y. T((x \ y) \ T(y,x),y) = (x \ y) \ y. (x / y) * ((x * y) / x) = T(x,x / (x / y)). (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). x * ((y * (x \ y)) / y) != z | z = T(y,y / x). x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. x != ((y \ z) \ 1) \ y | x = ((z \ y) \ 1) * y. 1 / ((x \ y) * x) = (((y \ 1) \ x) \ 1) * x. (((x \ 1) \ y) \ 1) * y = 1 / ((y \ x) * y). T(T(x * y,x) / y,y) = R(x,y,T(x,y)). x * R(y,x,T(y,x)) = T(y * x,y). R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. ((x \ 1) * (1 / y)) * x = 1 / ((x \ y) * x). R(T(x,T(y,R(x,z,u))),z,u) = R(T(x,y),z,u). R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. T(x,y) * z != L(y,T(x,y),y) * T(x,y) | z = T(y,x * y). L(T(x,y),T(y,x),x) = T(x,y * x). T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). x * T(y,x * y) = L(y,T(x,y),y) * x. L(x,T(y,x),x) * y = y * T(x,y * x). x * T(y,x * y) != z * x | L(y,T(x,y),y) = z. (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). ((1 / x) * y) \ (x \ 1) = (1 / x) \ ((y * x) \ 1). T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. ((1 / x) * y) \ (x \ 1) = (1 / x) \ (x \ (y \ 1)). x != (1 / y) \ (y \ z) | x = y * ((1 / y) * z). ((1 / x) * y) \ (x \ 1) = x * ((1 / x) * (y \ 1)). ((1 / (x * y)) * z) \ (y \ (x \ 1)) = (x * y) * ((1 / (x * y)) * (z \ 1)). x * (y * ((x \ y) / y)) = T(y,y / (x * y)). (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). K(x * y,x) = K(y * x,T(x,y)). K(x * y,T(y,x)) = K(y * x,y). K(x * y,T(y,x)) != z | K(y * x,y) = z. (1 / (x * y)) * (y \ (x \ 1)) = (x * y) \ (y \ (x \ 1)). (x \ 1) * ((y \ 1) * (1 / x)) = ((1 / y) \ x) \ (x \ 1). x / ((y \ 1) * (z / y)) = (1 / x) \ ((y / z) * y). (x \ y) / (((1 / y) * x) * y) = ((y * x) \ y) * (x \ y). (x * (y \ x)) \ (x * (y \ 1)) = (y \ 1) \ (y \ (1 / x)). (x \ (y \ 1)) * (x \ (y \ 1)) = (y * x) \ (1 / (y * x)). (((1 / x) * (y \ 1)) \ z) * ((1 / x) \ ((T(y,x) \ 1) \ 1)) = ((T(y,x) \ 1) * (1 / x)) \ (z / ((T(y,x) \ 1) * (1 / x))). ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / y) \ ((T(x,y) \ 1) \ 1)). ((x * x) \ (y / z)) * z = z \ ((z / (x * x)) * y). x \ ((x / (y * y)) * z) = ((y * y) \ (z / x)) * x. (x / y) \ (((1 / y) * z) \ 1) = y * ((y \ (z * x)) \ 1). x != (y \ (z / y)) * (1 / y) | x = ((y \ z) / y) / y. (1 / x) * ((x * (x / y)) \ 1) = ((x \ y) / x) / x. (1 / x) * ((x / y) \ (x \ 1)) = ((x \ y) / x) / x. (1 / x) * y != ((x \ z) / x) / x | y = z / (x * x). (x / y) \ (x \ 1) = y / (x * x). x \ (y \ 1) = (x \ y) / (y * y). (x \ y) / (y * y) = x \ (y \ 1). (x \ (y \ 1)) \ 1 = (y * y) * ((x \ y) \ 1). (x * x) * ((y \ x) \ 1) = (y \ (x \ 1)) \ 1. (x \ (y \ 1)) * y = (x \ y) * (1 / y). (x \ y) * (1 / y) = ((y \ 1) \ x) \ y. ((x \ 1) \ y) \ x = (y \ x) * (1 / x). x * y != (z \ (u \ 1)) * u | x \ ((z \ u) * (1 / u)) = y. x \ (((1 / x) \ (y * x)) * (1 / (y * x))) = (((y * x) \ 1) * y) * x. (x \ 1) * y = ((y \ x) \ y) * (1 / y). ((x \ y) \ x) * (1 / x) = (y \ 1) * x. R(x,x \ (y \ (z \ 1)),z) = ((y \ z) * (1 / z)) / ((x \ (y \ (z \ 1))) * z). x != ((y \ 1) \ (z \ 1)) \ y | x = y * (((y \ z) \ 1) \ 1). ((x \ 1) \ y) * (1 / y) = y * (((y \ x) \ 1) \ 1). (x \ y) * (1 / y) = y * (((y \ (1 / x)) \ 1) \ 1). x * (((x \ (1 / y)) \ 1) \ 1) = (y \ x) * (1 / x). ((x * (y \ 1)) \ z) * (1 / z) = z * (((z \ (y / x)) \ 1) \ 1). ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = (z \ ((1 / x) * y)) * (1 / ((1 / x) * y)). (x \ ((1 / y) * z)) * (1 / ((1 / y) * z)) = ((1 / y) * z) * ((((z \ y) / x) \ 1) \ 1). (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). x * T(x \ (y \ x),z) = (T(1 / y,z) * y) * (y \ x). (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). K((x * y) \ x,x * y) = y * T(y \ 1,x * y). x * y != z * T(z \ 1,u * z) | K((u * z) \ u,u * z) / y = x. K((x * y) \ x,x * y) / y = T(1 / y,x * y). (x \ 1) * ((y * (x \ 1)) \ z) = x \ L(x * (y \ z),x \ 1,y). x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). ((x \ y) / y) * x = x / (((x \ y) / y) \ 1). x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. x != (y \ 1) * (z * (y \ 1)) | x = y \ (z / y). (((x \ y) \ 1) \ 1) \ (y \ 1) = y \ (x / y). (x * y) * L(x * y,y,y) = x * ((1 / y) \ (x * y)). (x * y) * (x / (1 / y)) = x * ((1 / y) \ (x * y)). (x * y) * (x / (1 / y)) = x * (y * (x / (1 / y))). x != L(y / z,u,w) * z | x = z * L(z \ y,u,w). L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. (1 / x) \ L(y,z,u) = x * L(x \ ((1 / x) \ y),z,u). x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). R(1 / x,y,z) \ 1 = (x * R(x \ 1,y,z)) \ x. (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. (R(x,y,z) / x) \ (1 / x) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). (1 / x) * (L(y,z,u) * x) = L((1 / x) * (y * x),z,u). L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). (x \ y) * L(z,x,x) = x \ (x / (z \ (y \ x))). x \ (x / (y \ (z \ x))) = (x \ z) * L(y,x,x). x * ((x \ y) * L(z,x,x)) = x / (z \ (y \ x)). x * ((x \ y) * L(z,x,x)) != u | u = x / (z \ (y \ x)). x * ((x \ y) * L(z,x,x)) != u | x / (z \ (y \ x)) = u. T((x \ y) * L(z,x,x),x) = 1 / T(z \ (y \ x),x). 1 / ((x \ y) * L(z,x,x)) = x / (x \ (y * (z * x))). x / (y \ (z \ x)) != u * w | u \ (x * ((x \ z) * L(y,x,x))) = w. ((1 / ((x \ y) * L(z,x,x))) \ x) * ((x \ y) * L(z,x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). ((x / y) * (z * z)) \ x = x \ ((x / (z * z)) * y). x != y \ ((y / (z * z)) * u) | x = ((z * z) \ (u / y)) * y. ((x / y) * (z * z)) \ x = ((z * z) \ (y / x)) * x. x != (((y / z) * y) / u) \ y | x = (u / y) * z. x \ ((x * y) * ((1 / x) * z)) = (y / x) * z. x \ ((x * y) * z) = (y / x) * ((1 / x) \ z). (x / y) * ((1 / y) \ z) = y \ ((y * x) * z). x \ ((x * y) * (1 / z)) = (y / x) * (x / z). x * y != z \ ((z * u) * w) | x \ ((u / z) * ((1 / z) \ w)) = y. x \ ((y / z) * ((1 / z) \ u)) = x \ (z \ ((z * y) * u)). (((x / y) / z) / x) \ x = x * ((1 / x) * ((x * z) * y)). x * ((1 / x) * ((x * y) * z)) = (((x / z) / y) / x) \ x. (1 / x) * ((y / x) * y) = (y \ x) \ ((1 / x) * y). (x \ y) \ ((1 / y) * x) = (1 / y) * ((x / y) * x). ((1 / x) * ((y / x) * y)) \ 1 = ((1 / x) * y) \ (y \ x). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). ((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). x != (y \ 1) * ((1 / y) * z) | x = y \ (y \ z). (1 / x) * ((x \ 1) * y) = x \ (x \ y). x != y * ((1 / z) * z) | x = y. (1 / x) * ((x \ 1) * x) = x \ 1. (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. (1 / x) * K(x \ 1,x) = x \ 1. L(x,K(y \ 1,y),1 / y) = (y \ 1) \ ((1 / y) * (K(y \ 1,y) * x)). (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. x * (((x \ 1) \ 1) * y) = (x \ 1) \ ((x \ 1) \ y). (x \ 1) \ ((x \ 1) \ y) = x * (((x \ 1) \ 1) * y). (1 / x) * ((y \ x) \ 1) = x \ (x \ ((y \ 1) \ 1)). x \ (x \ ((y \ 1) \ 1)) = (1 / x) * ((y \ x) \ 1). x != (y / z) \ y | x = z. (1 / (1 / x)) * (x * (1 / x)) = x. x * ((1 / x) * ((y \ x) \ 1)) = x \ ((y \ 1) \ 1). x != ((1 / y) \ z) \ (z \ 1) | x = z \ (y \ (z \ 1)). (x \ 1) * ((y \ 1) * (1 / x)) = x \ (y \ (x \ 1)). ((x \ 1) \ 1) * ((y \ 1) * x) = (x \ 1) \ (y \ ((x \ 1) \ 1)). (x \ 1) \ (y \ ((x \ 1) \ 1)) = ((x \ 1) \ 1) * ((y \ 1) * x). (x \ 1) * (y * (1 / x)) = x \ ((1 / y) \ (x \ 1)). x \ ((1 / y) \ (x \ 1)) = (x \ 1) * (y * (1 / x)). x \ ((x * (1 / y)) \ 1) = (x \ 1) * (y * (1 / x)). (x \ 1) * y != x \ (z \ 1) | y = (x * z) \ x. x * (1 / y) = (y * (y * (1 / x))) \ y. (x * (x * (1 / y))) \ x = y * (1 / x). (x * (1 / y)) * (1 / y) = (y * (1 / x)) \ (1 / y). (x * (1 / y)) \ (1 / x) = (y * (1 / x)) * (1 / x). (x \ y) / T(x,y) = ((y * x) \ y) * (x \ y). ((x * y) \ x) * (y \ x) = (y \ x) / T(y,x). x != (y \ 1) \ (y \ z) | x = L(z,y,1 / y). (x * (y \ x)) \ (x * (y \ 1)) = L(1 / x,y,1 / y). x != L(1 / y,z,1 / z) | x = z \ (z / y). (x * (y \ x)) \ (x * (y \ 1)) = y \ (y / x). x != y * ((y \ z) \ 1) | x = (z / y) \ y. (x / y) \ (((1 / y) * z) \ 1) = ((z * x) / y) \ y. (x / y) \ (z \ y) = ((z * x) / y) \ y. ((x * y) / z) \ z = (y / z) \ (x \ z). (1 / (x * (y \ z))) \ x = (y / x) \ ((1 / z) \ x). (x / y) \ ((1 / z) \ y) = ((y \ 1) \ (x \ z)) * y. ((((x \ 1) \ (y \ z)) \ x) \ 1) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). K(x \ (x / y),x) = y * T(y \ 1,x). x * y != z \ (u * T(u \ z,u)) | x \ K(u \ z,u) = y. x \ K(y \ (y / x),y) = T(x \ 1,y). x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. x != (1 / y) * T((1 / y) \ 1,z) | x = T(y,z) / y. K(x \ (x / (1 / y)),x) = T(y,x) / y. x != (y \ 1) * T((y \ 1) \ 1,z) | x = y \ T(y,z). K(x \ (x / (y \ 1)),x) = y \ T(y,x). x * y != z * T(z \ 1,u) | K(u \ (u / z),u) / y = x. K(x \ (x / y),x) / y = T(1 / y,x). K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). K(x \ (x / (1 / y)),x) * y = T(y,x). T(x,y) = K(y \ (y / (1 / x)),y) * x. K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). T(x,x * K(y,x)) = x. T(x * K(y,x),x) = x * K(y,x). K(x,y) / (y \ 1) = y * K(x,y). (x * K(y,x)) \ K(y,x) = x \ 1. (x * K(y,x)) * ((x \ 1) * T((x \ 1) \ 1,z)) = K(y,x) * T(K(y,x) \ (K(y,x) / (x \ 1)),z). K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). x != (y * z) \ z | x = T(y \ 1,z). x \ 1 = T(x \ 1,K(y,x)). T(x \ 1,K(y,x)) = x \ 1. T(K(x,y),y \ 1) = K(x,y). T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). (1 / x) * K(y,x) = K(y,x) * (1 / x). K(x,y) * (1 / y) = (1 / y) * K(x,y). (K(x,y) \ 1) * y = y * (K(x,y) \ 1). (K(x,y) * (1 / y)) * z != (1 / y) * K(x,y) | 1 = z. 1 = K(1 / x,K(y,x)). K(1 / x,K(y,x)) = 1. K(x,K(y,x \ 1)) = 1. T(x,K(y,x \ 1)) = x. K(x,y \ 1) * L(y,z,u) = L(y,z,u) * K(x,y \ 1). L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). K(x,y \ 1) / y = (1 / y) * K(x,y \ 1). (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). x != L((y \ z) \ 1,y \ z,y) | x = z \ y. T(x \ y,K(z,y \ x)) = x \ y. K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). x * L((x \ 1) \ 1,y,z) = (1 / x) \ L(x,y,z). x * L(T(x,x \ 1),y,z) = (1 / x) \ L(x,y,z). x * L(T(x,x \ 1),y,y) = x / ((y * x) \ y). x * (y * ((x \ y) \ 1)) = x / ((y * x) \ y). x != y / ((z * y) \ z) | x = (z \ (z / y)) \ y. x * (y * ((x \ y) \ 1)) = (y \ (y / x)) \ x. L(x \ 1,y,z) = (1 / x) * (L(x \ 1,y,z) * x). (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). (1 / x) * (L(x \ 1,x,y) * x) = (y * x) \ y. (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). (x * y) \ x = (1 / y) * (((x * y) \ x) * y). (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. 1 / ((x * y) \ x) = T(1 / ((x * y) \ x),y). T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). T(1 / ((x * y) \ x),z) = T(T(1 / ((x * y) \ x),z),y). T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). x \ (y \ ((y * z) * u)) = w / ((x \ ((z / y) * ((1 / y) \ u))) \ w). x / ((y \ ((z / u) * ((1 / u) \ w))) \ x) = y \ (u \ ((u * z) * w)). x * y != (z / x) \ x | y = (x \ z) \ 1. (1 / x) * ((x * y) * z) = (x \ ((x / z) / y)) \ 1. (x \ ((x / y) / z)) \ 1 = (1 / x) * ((x * z) * y). x * ((1 / x) * ((x * y) * z)) != u | (((x / z) / y) / x) \ x = u. ((x / y) * x) \ y = ((1 / y) * x) \ (x \ y). ((1 / x) * y) \ (y \ x) = ((y / x) * y) \ x. K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). x != T(y,y \ 1) / y | x = K(y,1 / y). K(x,x \ 1) = K(x,1 / x). K(x,1 / x) = K(x,x \ 1). K(x,x \ 1) * x = T(x,x \ 1). ((x \ 1) \ 1) / x = K(x,x \ 1). x * (1 / x) = K(x,x \ 1). K(x,x \ 1) = x * (1 / x). x != K(y,1 / y) | x = y / (1 / (1 / y)). K(x,x \ 1) = x / (1 / (1 / x)). x / (1 / (1 / x)) = K(x,x \ 1). x != K(y,z) | x = K((u / y) \ u,z). K(x,x \ 1) = K((y / x) \ y,1 / x). K((x / y) \ x,1 / y) = K(y,y \ 1). x != K(1 / y,1 / (1 / y)) | x = K(y \ 1,y). K(1 / x,(1 / x) \ 1) = K(x \ 1,x). x * y != K(z,1 / z) | x \ K(z,z \ 1) = y. x \ K(x,x \ 1) = 1 / x. K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). K(x,x \ 1) != y | x * (1 / x) = y. (x \ 1) * K(x,x \ 1) = 1 / x. K(x,x \ 1) * (1 / (1 / x)) = x. x != y * (1 / y) | x = (y \ 1) * y. K(x,x \ 1) = (x \ 1) * x. K(x,x \ 1) \ 1 = K(1 / x,x). K(x,x \ 1) * x = (x \ 1) \ 1. (1 / (1 / x)) * K(x,x \ 1) = x. K(x * y,(x * y) \ 1) = (y \ (x \ 1)) * (x * y). R(x,K(y,y \ 1),y) = ((x * K(y,y \ 1)) * y) / T(y,y \ 1). ((x * K(y,y \ 1)) * y) / T(y,y \ 1) = R(x,K(y,y \ 1),y). T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. K(x,x \ 1) \ x = 1 / (1 / x). K(x,x \ 1) * (x \ 1) = 1 / x. 1 / x != (x \ 1) * y | K(x,x \ 1) = y. (x \ 1) * y != 1 / x | K(x,x \ 1) = y. x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). K(1 / x,x) = K(x \ 1,x). x != K((y / z) \ y,1 / z) | x = K(z,z \ 1). K(1 / (1 / x),1 / x) = K(x,x \ 1). x != K(1 / y,y) | x = K(y,y \ 1) \ 1. K(x \ 1,x) = K(x,x \ 1) \ 1. K(x,x \ 1) \ 1 = K(x \ 1,x). K(x,x \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. x != K(y * z,(y * z) \ 1) | x = K(y * z,z \ (y \ 1)). (x \ (y \ 1)) * (y * x) = K(y * x,x \ (y \ 1)). K(x * y,y \ (x \ 1)) = (y \ (x \ 1)) * (x * y). T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. K(x,y \ 1) * L(y,z,u) != L(y,z,u) * w | K(x,y \ 1) = w. L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. R(x,y,z) / (u \ 1) = u * R(u \ (x / (u \ 1)),y,z). x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). (x * (y * z)) * ((x * y) \ 1) = T(L(z,y,x),y \ (x \ 1)). T(T(x,y / z),z * (y \ 1)) = R(x,y / z,z * (y \ 1)). x != (y * z) * R(L(u,z,y),w,v5) | x = y * (z * R(u,w,v5)). R(x,y,z) * (x * u) = x * (u * R(T(x,u),y,z)). x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). x * (R(x,y,z) * u) = R(x,y,z) * (x * u). R(x,y,z) * (x * u) = x * (R(x,y,z) * u). x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. R(x,y,z) * u = x * (R(x,y,z) * (x \ u)). x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. R(x,y,z) * (u * x) = x * (R(x,y,z) * T(u,x)). x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). x \ (R(x,y,z) * u) != w | w = R(x,y,z) * (x \ u). x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. x * y != R(z,u,x) * (u * x) | T(z * u,x) = y. T(x * y,x) = R(x,y,x) * (x \ (y * x)). R(x,y,x) * (x \ (y * x)) = T(x * y,x). R(x,y,x) * T(y,x) = T(x * y,x). R(x,y,x) \ T(x * y,x) = T(y,x). L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). T(x / (x / y),y \ x) = y. T(x,y) = T(T(z / (z / x),y),x \ z). T(T(x / (x / y),z),y \ x) = T(y,z). T(x / (x / (x / y)),y) = x / y. (x \ y) * x = (y / (y / x)) * (x \ y). (x / (x / y)) * (y \ x) = (y \ x) * y. ((x \ y) * x) / (x \ y) = y / (y / x). ((x \ y) * x) / (x \ y) != z | z = y / (y / x). ((x \ y) * x) / (x \ y) != z | y / (y / x) = z. ((x \ y) * x) / (x \ y) != z * u | z \ (y / (y / x)) = u. (x * (y / x)) / x = y / (y / (y / x)). R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. x * L(x \ (y * z),u,w) = y * ((y \ x) * L((y \ x) \ z,u,w)). x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). x * L(x \ ((x / y) * z),u,w) = (x / y) * (y * L(y \ z,u,w)). (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)). x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. x != L(R(y,z,u),w,v5) * (z * u) | x = (L(y,w,v5) * z) * u. (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. x != R(R(y,z,u),w,v5) * (z * u) | x = (R(y,w,v5) * z) * u. (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. (x * (y * (z / x))) * x = L(((1 / x) \ y) * z,x,x). L(((1 / x) \ y) * z,x,x) = (x * (y * (z / x))) * x. (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). x * y != R((z * (u / (1 / w))) / z,1 / w,w) | ((z * (u * w)) / z) / y = x. ((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z). ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. x != y * ((y \ z) * T(u,z)) | x = L(u,y \ z,y) * z. (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). (x \ (x / (y \ 1))) / (y \ 1) = 1 / (y \ (x \ (x / y))). (x \ (x / (y \ 1))) / (y \ 1) = (1 / (x \ (x / y))) * y. (x \ (x / (y \ 1))) / (y \ 1) = ((1 / (x / y)) * x) * y. x != L(T(y,z),1 / y,y) | x = T(1 / (1 / y),z). K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). (x * y) * ((1 / y) * (1 / y)) = R(x,y,1) * (1 / y). (x * y) * ((1 / y) * (1 / y)) = x * (1 / y). (x * y) * (1 * (y \ (1 / y))) = x * (1 / y). (x * y) * (y \ (1 / y)) = x * (1 / y). x * (y \ (1 / y)) = (x / y) * (1 / y). (x / y) * (1 / y) = x * (y \ (1 / y)). x * (1 / y) != z * (y \ (1 / y)) | x * y = z. x * (y \ (1 / y)) != z * (1 / y) | z * y = x. x != (y / z) * (1 / z) | x = (z / y) \ (1 / z). x * (y \ (1 / y)) = (y / x) \ (1 / y). (x / y) \ (1 / x) = y * (x \ (1 / x)). (x * (y \ (1 / y))) * y = x * (y \ 1). x != (y \ z) * y | x = z * K(y \ z,y). (((x \ 1) \ y) * (x \ (1 / x))) * x = y * K((x \ 1) \ y,x \ 1). x != (y \ (z / y)) * y | x = (y \ 1) * z. (((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x))) * x = ((x \ 1) \ 1) * y. x * y != (z \ (u / z)) * z | ((z \ 1) * u) / y = x. (((x \ 1) \ 1) * y) / x = ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)). ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = (((x \ 1) \ 1) * y) / x. x != R(1 / (y / z),y / z,z) | x = z / y. T((1 * x) / y,K(y / x,z)) = x / y. T(x / y,K(y / x,z)) = x / y. T(x / y,y) = T(y \ x,K(y / x,z)). T(x \ y,K(x / y,z)) = T(y / x,x). T(x \ y,K(x / y,z)) = x \ y. (x * (T(x / y,x) / z)) \ x = L(z,x,x) * ((1 / x) * y). x * (y * z) != (z * T(y,z)) * T(z,y) | x = R(z,y,z). R(x,T(y,x),T(x,y)) = R(x,y,x). R(R(x,y,x),z,u) = R(R(x,z,u),T(y,x),T(x,y)). R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). R(R(x,y,x),z,u) * (y * x) = (R(x,z,u) * T(y,x)) * T(x,y). (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). (x * (y * z)) * ((x * y) \ 1) = L(T(z,y \ (x \ 1)),y,x). x != T((y * (z / u)) / y,u) | x = (y * (u \ z)) / y. R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. (x * (y * z)) * (y \ (x \ 1)) = L(T(z,y \ (x \ 1)),y,x). (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). R(T(x \ y,x * z),x,z) != u | T((x * z) \ (y * z),x) = u. (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. (x * y) * L(x * y,z,u) != w | x * (y * L(x * y,z,u)) = w. T(x / y,z) \ (y \ x) = (y \ x) * (T(x / y,z) \ 1). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). ((x \ y) \ y) * (T(x,z) \ 1) = T(y / (x \ y),z) \ ((x \ y) \ y). T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). x * (x \ (y / (x \ 1))) = (x * ((x \ 1) * y)) * x. (x * ((x \ 1) * y)) * x = x * (x \ (y / (x \ 1))). (x * ((x \ 1) * y)) * x = y / (x \ 1). (x * (((1 / (x \ 1)) \ y) * z)) * x = ((y * (z / (x \ 1))) * (x \ 1)) / (x \ 1). ((x * (y / (z \ 1))) * (z \ 1)) / (z \ 1) = (z * (((1 / (z \ 1)) \ x) * y)) * z. T(((1 / (x \ 1)) \ y) * (1 / x),x) = (x \ (1 / x)) * y. T((x \ y) * (1 / x),x) = (x \ (1 / x)) * y. x != T(y * (1 / z),z) | x = (z \ 1) * y. (x \ (1 / x)) * y = (x \ 1) * (x \ y). ((x \ y) \ ((1 / y) * x)) * z = ((x \ y) \ 1) * ((x \ y) \ z). x != ((y * z) / y) * (z \ 1) | x = z \ ((y * z) / y). (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). (1 / x) \ (1 / (y * (z \ (u \ x)))) = (u * (z * x)) / (y * x). (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). L(x,y,z) * (x * u) = x * (u * L(T(x,u),y,z)). x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)). L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). x * y != z * (u * (u \ w)) | T(x,y) = y \ (z * w). T(x,L(x,y,z) * (x \ u)) = (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u). (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). x * y != z \ (u * z) | x \ T(u,z) = y. L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). L((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y). T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). L(x,y,z) * (x \ (L(x,y,z) \ u)) != w | w = x \ u. L(x,y,z) * (x \ (L(x,y,z) \ u)) != w | x \ u = w. x * (L(x,y,z) \ (x \ u)) != w | w = L(x,y,z) \ u. x * (L(x,y,z) \ (x \ u)) != w | L(x,y,z) \ u = w. L(x,y,z) * (x \ 1) != u | x \ L(x,y,z) = u. (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. x * (L(x,y,z) \ u) != w | L(x,y,z) \ (x * u) = w. x != L(y,z,u) * K(w,y \ 1) | x = K(w,y \ 1) * L(y,z,u). x * (L(x,y,z) * (1 / x)) = K(x,x \ 1) * L(x,y,z). K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). (1 / x) * ((y * (1 / x)) \ ((1 / z) \ 1)) = (y \ (z / x)) * x. (1 / x) * ((y * (1 / x)) \ T(z * z,1)) = (y \ (((z * z) \ 1) \ (1 / x))) * x. x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). x * y != z * T(u,z) | x \ (u * z) = y. x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y). (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x * K((x \ y) \ 1,x \ y) = y * T(y \ x,x \ y). x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). x != (y \ 1) * T((y \ 1) \ (y \ z),u) | x = y \ T(z,u). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). x * T(y,z) = (x * y) * K(z \ (z / ((x * y) \ x)),z). (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). x * T(y,(x * y) \ x) = (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x). (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). ((x * (x \ y)) * x) / (x \ 1) = y * (x / (x \ 1)). (x * y) / (y \ 1) = x * (y / (y \ 1)). (1 / (x * y)) \ y = x * (y / (y \ 1)). (1 / (x * y)) \ y = x * ((1 / y) \ y). x * y != (1 / (z * u)) \ u | (z * ((1 / u) \ u)) / y = x. (x * ((1 / y) \ y)) / y = x / (1 / y). x != ((y * R(z,u,w)) / y) * (u * w) | x = (((y * z) / y) * u) * w. T(x,R(1 / y,y,x)) = (((x * (1 / y)) / x) * y) * x. (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). L(x,((y * z) / y) \ z,(y * z) / y) = ((y * z) / y) * (z \ ((((y * z) / y) \ z) * x)). ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). T(x,x / (1 / y)) = ((x * (x * y)) / x) / y. ((x * (x * y)) / x) / y = T(x,x / (1 / y)). ((x * y) / x) / (x \ y) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). (x * y) * T(y,z) = (T((x * y) / x,z) * x) * y. (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. (x * T(y,z)) * y = (x * y) * T(y,z). (x * y) / T(y,z) = (x / T(y,z)) * y. x * y != ((z / u) * u) * w | T(x,y) = y \ (z * w). T((x / y) * T(y,z),y) = y \ (x * T(y,z)). x != y * T(z,y) | x = z * y. (x * T(y,x * y)) * y = y * (x * y). ((x / y) * T(y,z)) * y = x * T(y,z). x * y != (z * x) * T(x,u) | T(z * T(x,u),x) = y. T(x * T(y,x * y),y) = x * y. (x * T(y,z)) \ ((x * y) * T(y,z)) = y. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * T(y,z)) / y = (x / y) * T(y,z). x * y != (((z / u) / w) * w) * u | z / y = x. x / y = ((x / T(y,z)) / y) * T(y,z). ((x / T(y,z)) / y) * T(y,z) = x / y. ((x / y) * T(y,z)) \ (x * T(y,z)) = y. (x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y). (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). x * y != y * (z * y) | x = (1 / y) \ z. x * T(y,x * y) = (1 / y) \ x. T(x,y * x) = T(1 / x,y) \ 1. x != T(1 / y,z) \ 1 | x = T(y,y * z). T(x,y * x) = T(x,x * y). x != T(y,y * z) | x = L(T(y,z),z,y). T(x,y * x) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,y * x). T(R(x,y,z),R(x,y,z) * u) = R(T(x,u * R(x,y,z)),y,z). R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). T(x,(x \ y) * x) = T(x,y). T(T(x,x * y),z) = T(T(x,z),y * x). T(T(x,y * x),z) = T(T(x,z),x * y). x * T(y,x * y) = L(y,x,y) * x. R(T(x,x * y),y,x) = T(x,y). R(T(x,y),x \ y,x) = T(x,x \ y). T(x,(x \ 1) * (y * x)) = T(x,y). T(x,y * x) != z | T(x,x * y) = z. (x * y) * T(x,y) = R(x,y,x) * (x * y). R(x,y,x) * (x * y) = (x * y) * T(x,y). T(x * y,x) * T(x,y) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). L(x,T(y,x),x) = L(x,y,x). L(x,y,(y * x) / y) = L(x,y,x). T(L(x,y,x) * y,x) = y * x. (L(x,y,x) * y) * x = x * (y * x). (x * (y * x)) / x = L(x,y,x) * y. T(x,y * x) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,y * x). x != T(y,y \ z) | x = (y \ z) \ z. R(T(x,y),x \ y,x) = (x \ y) \ y. x * (y * z) != (L(u,w,v5) * y) * z | x = L(R(u,y,z),w,v5). x = L(R(x,y,x),y,x). L(R(x,y,x),y,x) = x. x * y != L(z,u,z) * u | x \ ((z * (u * z)) / z) = y. L(x,y,x) \ ((x * (y * x)) / x) = y. x != T(y,z * y) | x = T(y,y * z). T(x,L(x,y,x) * y) = T(x,x * y). T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). x * y != z * T(x,u) | T((z / x) * T(x,u),x) = y. T((x / y) * T(y,x),y) = x. x * y != z * T(u,z) | (u * z) / y = x. (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. T(x * T(x \ y,y),x \ y) = y. T(x / y,T(y,x)) = T(y,x) \ ((y * x) / y). T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). x * y != (z / u) * T(u,z) | ((u * z) / u) / y = x. ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). (x * (1 / y)) * T(L(y,1 / y,x),x) = (L(y,1 / y,x) * x) / L(y,1 / y,x). (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). T(x,y) * T(T(y,x),x * y) = (T(y,x) * (x * y)) / T(y,x). (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). T(T(x,y),y \ x) = x. T(T(x,y \ x),y) = x. (x \ y) * y = T(y,x) * (x \ y). T(x,y) * (y \ x) = (y \ x) * x. (x * y) / x = T(y,x \ y). T(x,y \ x) = (y * x) / y. T(T(x,y),x / y) = x. (x * y) / x != z | z = T(y,x \ y). (x * y) / x != z | T(y,x \ y) = z. T(x,y) = T(x,T(y,y / x)). T(x,T(y,y / x)) = T(x,y). x != (y * z) / y | x = y * (z * (y \ 1)). T(x,y \ x) = y * (x * (y \ 1)). T(x,y \ x) * ((y * x) \ 1) = (y * x) / ((y * x) * y). (x * y) / ((x * y) * x) = T(y,x \ y) * ((x * y) \ 1). T((x * y) / x,x) * (y * (x \ 1)) = (x \ ((x * y) / x)) * ((x * y) / x). T(x,y \ x) = y * ((x * (y \ x)) / x). x * ((y * (x \ y)) / y) = T(y,x \ y). T(x,y \ x) != z | (y * x) / y = z. T(x,y) = R(T(x,y * T(x,z)),y,T(x,z)). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). ((x / T(y,z)) / y) * T(y,z) != u | x / y = u. ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. T(T(x,y),x * z) = T(T(x,y),z * x). T(T(x,y),z * x) = T(T(x,y),x * z). T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. T(x,x / y) = T(x,y \ x). x != T(y,(1 / z) \ y) | x = T(y,y * z). T(x,x / (1 / y)) = T(x,x * y). x != T(y,y / (z \ 1)) | x = T(y,z * y). T(x,(y \ 1) \ x) = T(x,y * x). T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). T(x,x / (x / y)) = T(x,y). T(T(x,y \ x) / y,x) = x / y. T(x,T(y,y \ x)) = T(x,y). x * y != T(z,z / (z / u)) | x \ T(z,u) = y. (x / y) \ T(x,y) = (x * y) / x. T(x * y,T(x,y)) = T(x * y,x). x != T(y,z) | x = T(y,y / (y / z)). T(x,x / (1 / y)) = T(x,x / (x / (x * y))). T(x,x / (x / (x * y))) = T(x,x / (1 / y)). T(x,y \ x) = T(x,(1 / y) * x). T(x,(1 / y) * x) = T(x,y \ x). x \ T(x * y,y) = ((x * y) * y) / (x * y). ((x * y) * y) / (x * y) = x \ T(x * y,y). T(x,x * (1 / y)) = T(x,y \ x). T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. x * (y * z) != (u * z) * T(y,z) | x = R(u,z,T(y,z)). R(x,y,x) = R(x,y,T(x,y)). R(x,y,T(x,y)) = R(x,y,x). x \ T(y * x,y) = R(y,x,y). R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). x * R(y,x,y) = T(y * x,y). (x \ y) \ T(y,x) = R(x,x \ y,x). R(x,x \ y,x) = (x \ y) \ T(y,x). L(R(x,y,x),y,z) = (z * y) \ (z * T(x * y,x)). (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). x \ T(y * x,y) != z | z = R(y,x,y). x \ T(y * x,y) != z | R(y,x,y) = z. x != R(y,T(z,y),T(y,z)) | x = R(y,z,y). R(x,T(y,x),x) = R(x,y,x). R(x,x \ y,x) = R(x,y / x,x). R(x,y / x,x) = R(x,x \ y,x). x != R(y,y \ z,y) | x = (y \ z) \ T(z,y). R(x,y / x,x) = (x \ y) \ T(y,x). R(x,y,x) = (x \ (y * x)) \ T(y * x,x). (x \ (y * x)) \ T(y * x,x) = R(x,y,x). R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). x != T(y,(y \ z) * y) | x = T(y,z). T(x,(x \ y) * T(x,y)) = T(x,y). R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). T(x,x / (x / y)) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). (x \ T(x * y,y)) * x = x * R(y,x,y). (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). x != T(y,y / (1 / (y \ z))) | x = ((y * z) / y) / (y \ z). T(x,x / (x / y)) = ((x * y) / x) / (x \ y). ((x * y) / x) / (x \ y) = T(x,x / (x / y)). T(x,x / (x / y)) * (x \ y) = (x * y) / x. T(x,y) * (x \ y) = (x * y) / x. T(x,y) * z != (x * y) / x | T(y / x,T(x,y)) = z. T(x / y,T(y,x)) = y \ x. T(x,y) \ ((x * y) / x) = x \ y. T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. x * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). T(x \ y,x) = T(x \ y,T(x,y)). T(x \ y,T(x,y)) = T(x \ y,x). T(x,x \ y) * (x \ y) = x * (y / x). T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. (x / y) * T(y,z) != u | (x * T(y,z)) / y = u. R(T(x,x * y),y,T(x,x * y)) = T(x,y). (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). (x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x * (y / (y / z))) * z = (x * ((y / z) \ y)) * (y / (y / z)). (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). x != (y / (y / z)) * (z \ y) | x = (z \ y) * z. (x * (y \ x)) / (x / y) = (y \ x) * y. x != (y * (z \ y)) / (y / z) | x = (y / z) * (y / (y / z)). (x \ y) * x = (y / x) * (y / (y / x)). (x / y) * (x / (x / y)) = (y \ x) * y. ((x \ y) * x) * (y / x) = y * (x \ y). (x * y) / ((x * y) * x) = T(y,x \ y) * (y \ (x \ 1)). (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). ((1 / x) * ((y / x) * y)) * z = ((y \ x) \ 1) * ((y \ x) \ z). x / (y * (z \ (u \ x))) = (u * (z * x)) / (y * x). (x * (y * z)) / (u * z) = z / (u * (y \ (x \ z))). (x * (y * z)) / (u * z) != w | z / (u * (y \ (x \ z))) = w. x != (y * z) * T((y * z) \ u,w) | x = y * (z * T(z \ (y \ u),w)). (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). ((x \ (y / z)) * x) * z = (x * z) * T((x * z) \ y,x). (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. ((x \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. x != (y * z) * T((y * z) \ (y * u),w) | x = y * (z * T(z \ u,w)). ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). x != (y * z) * T((y * z) \ y,u) | x = y * (z * T(z \ 1,u)). ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). x * (y \ T(y * (x \ z),x)) = ((x \ (z / (y \ 1))) * x) * (y \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). x * (K(x \ 1,x) * (x \ y)) = ((x \ (y / y)) * x) * y. ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). ((x \ y) * x) * x = x * (x * T(x \ T(y,x),x)). x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. T((x \ y) * x,x) = (x \ T(y,x)) * x. x * y != (z \ T(u,z)) * z | T((z \ u) * z,z) / y = x. T((x \ y) * x,x) / x = x \ T(y,x). x * y != (z \ T(u,z)) * z | x \ T((z \ u) * z,z) = y. T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). x * (T((x \ y) * x,x) / x) = T(y,x). T(x * y,y) / y = y \ T(y * x,y). (x \ T(y,x)) * x != z | z = T((x \ y) * x,x). (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. T(x,y) / y = y \ T(y * (x / y),y). x \ T(x * (y / x),x) = T(y,x) / x. x * (T(y * x,x) / x) = T(x * y,x). x * (T(y,x) / x) = T(x * (y / x),x). T(x * (y / x),x) = x * (T(y,x) / x). T(x * T(y,z),x) / x = x \ T(x * T((x * y) / x,z),x). x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. T(x * L(y,z,u),x) / x = x \ T(x * L((x * y) / x,z,u),x). x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. T(x * y,x) = x * ((1 / x) * (y * x)). x * ((1 / x) * (y * x)) = T(x * y,x). T(x * (y / x),x) = x * (y / T(x,y)). T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). ((x \ 1) * x) * y = x * (K(x \ 1,x) * (x \ y)). x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. (1 / x) * ((y * (1 / x)) \ z) = (y \ (z / x)) * x. (1 / x) * ((y \ (1 / x)) \ z) = (((x * y) \ x) \ (z / x)) * x. (((x * y) \ x) \ (z / x)) * x = (1 / x) * ((y \ (1 / x)) \ z). (x * ((x \ (y / z)) * z)) \ y = a(x,1 / z,(x * (1 / z)) \ y). a(x,1 / y,(x * (1 / y)) \ z) = (x * ((x \ (z / y)) * y)) \ z. x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). (x * T(x \ y,z)) * u = x * (u * T(u \ (x \ (y * u)),z)). x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. x * y != (z * x) * T((z * x) \ (u * x),w) | T(z * T(z \ u,w),x) = y. T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z). x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). x * y != z * T(z \ T(u,z),w) | x \ T(z * T(z \ u,w),z) = y. x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). x * T(T(y,x) / x,z) = T(x * T(y / x,z),x). T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). x \ T(x * T(y / x,z),x) != u | u = T(T(y,x) / x,z). x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. (x * T(x \ 1,y)) * z = x * (z * T(z \ (x \ z),y)). x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). x != y \ (z * y) | x = T(z,y). K(x \ (x / T(y,z)),x) = T(y * T(y \ 1,x),z). T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). T(K(x \ 1,x),y) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). T(K(x,y),z) = K(y \ (y / T(L(x \ 1,x,y),z)),y). K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). K(x \ (x / ((L(y \ 1,y,x) \ z) \ z)),x) = T(K(y,x),L(y \ 1,y,x) \ z). T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). K(x \ (x / (((y \ x) \ z) \ z)),x) = T(K(x \ y,x),(y \ x) \ z). T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. (x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. (x * y) * (z / (z / y)) = (x * (z / (z / y))) * y. (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). x / (y / (y / z)) = ((x / z) / (y / (y / z))) * z. ((x / y) / (z / (z / y))) * y = x / (z / (z / y)). (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). T(T(x * y,x) / x,z) = T(x * T(y,z),x) / x. T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). x != (1 / y) * ((z \ (1 / y)) \ u) | x = ((y / u) * (z \ 1)) \ y. (((x * y) \ x) \ (z / x)) * x = ((x / z) * (y \ 1)) \ x. T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). (x * T(x \ y,z)) / y = (x / y) * T((x / y) \ 1,z). (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. ((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x). (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. (x * (y * T(y \ z,u))) / z = ((x * y) / z) * T(((x * y) / z) \ x,u). ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). x != y * T(y \ (z * y),u) | x = T(z,u) * y. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. (x * (1 / x)) * (x \ y) = y * L(y \ (x \ y),x,x \ 1). x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. (x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)). (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). x * y != R(z,u,y) * (u * y) | x = z * u. (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x * (y \ 1) != z * K(y \ 1,y) | R(x,y \ 1,y) / y = z. x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. R(x,y / z,z * (y \ 1)) != u | u = (x * (y / z)) * (z * (y \ 1)). R(x,y / z,z * (y \ 1)) != u | (x * (y / z)) * (z * (y \ 1)) = u. x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)). x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). (1 / x) * ((x * y) / (z * x)) = L(y,x,z) / (z * x). L(x,y,z) / (z * y) = (1 / y) * ((y * x) / (z * y)). (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). R(x,T(1 / x,y),x) = T(x,(x * T(x \ 1,y)) / x). T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). T(x,T(1 / x,y)) = R(x,T(1 / x,y),x). R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). R(T(x,T(1 / x,y)),z,u) = R(R(x,z,u),T(1 / x,y),x). R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). L(T(x,y / z),y,y) * (z / y) != u | L((y / z) \ x,y,y) = u. x != (y * z) / T(z,u) | x = (y / T(z,u)) * z. R(x,K(y,y \ 1),y) = ((x * K(y,y \ 1)) / T(y,y \ 1)) * y. ((x * K(y,y \ 1)) / T(y,y \ 1)) * y = R(x,K(y,y \ 1),y). (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y). x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. x * y != L(z,u,w) * x | y = L(T(z,x),u,w). T(x,L(x,y,z) * u) = L(T(x,u),u,L(x,y,z)). L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). R(T(1 / x,y),x,x \ y) = T(y \ (K(x,x \ 1) * (x \ y)),x). T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). x != R(T(1 / y,z),y,y \ z) | x = z \ (y \ z). T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). (x * y) * (y * (x \ 1)) = T(y,x \ 1) * T(y,x \ 1). T(x,y \ 1) * T(x,y \ 1) = (y * x) * (x * (y \ 1)). x != ((y * z) \ u) * (z \ (y \ 1)) | x = (y * z) \ (u / (y * z)). (x \ (y \ 1)) * (z * (x \ (y \ 1))) = (y * x) \ (z / (y * x)). x != 1 / (y / (y \ z)) | x = (z \ y) \ (1 / y). ((1 / x) * y) * (1 / ((y \ x) / z)) = (z \ (y \ x)) \ (1 / (y \ x)). x / (y \ ((((x \ 1) \ 1) \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). x != T(y \ 1,z) * (1 / z) | x = T(y,z) \ (1 / z). T(x \ (1 / T(y,y \ 1)),T(y,y \ 1)) = T(x,y) \ (1 / y). T(x \ (y \ 1),T(y,y \ 1)) = T(x,y) \ (1 / y). T(1 \ (x * y),(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). T(x * y,(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). ((1 / x) * (1 / x)) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). x * ((1 / y) * ((y \ 1) * x)) = (x * (1 / y)) * ((y \ 1) * x). (x * (1 / y)) * ((y \ 1) * x) = x * ((1 / y) * ((y \ 1) * x)). (x * (1 / y)) * ((y \ 1) * x) = x * (y \ (y \ x)). (x * y) * L(y,z,u) = (L((x * y) / x,z,u) * x) * y. (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (x * L(y,z,u)) * y = (x * y) * L(y,z,u). ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. (x \ y) * y = ((x \ 1) * y) * L(y,x,x). ((x \ 1) * y) * L(y,x,x) = (x \ y) * y. (x * y) / L(y,z,u) != w | w = (x / L(y,z,u)) * y. (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. T(x,y) = R(T(x,y * L(x,z,u)),y,L(x,z,u)). R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). L(x,y,z) * u != (z * (y * x)) / x | T((z * y) / x,L(x,y,z)) = u. T((x * y) / x,L(x,y,x)) = y. ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). x != T(y,L(z,y,z)) | x = T(y,T(z,z * y)). T(x,y) = T(x,T(y,y * x)). T(x,T(y,y * x)) = T(x,y). L(x,y,x) * T(y,x) = y * L(x,y,x). T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). x != L(y,z,y) * T(z,y) | x = T(z,y) * T(y,y * z). x * L(y,x,y) = T(x,y) * T(y,y * x). T(x,y) * T(y,y * x) = x * L(y,x,y). T(x,y) * T(y,x * y) = x * L(y,x,y). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. x != y * R(T(z,y),u,w) | x = R(z,u,w) * y. x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). x != K(y \ 1,y) * L(1 / y,z,u) | x = L(1 / y,z,u) * K(y \ 1,y). (x \ 1) * (x * L(x \ 1,y,z)) = L(1 / x,y,z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). x != T(y,T(z,u)) / (T(T(z,y),u) \ y) | x = T(z,u). T(x,T(y,T(x,z))) = T(x,y). T(x / (x / y),T(z,y)) = T(x / (x / y),z). T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != (1 / x) * z | y * ((x \ 1) \ 1) = z. (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). (T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)). T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. T(x,R(y,y \ 1,x)) / x != z | z = y \ ((x * y) / x). T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. x \ (((T(y,x) \ y) * x) \ x) = T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1. T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). L(x * y,z,u) / y = (1 / y) * L((1 / y) \ x,z,u). (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. T(1 / x,L(x,y,z) / x) = 1 / x. (L(x,y,z) / x) \ (1 / x) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). (x * (1 / y)) / x = T((x * (1 / y)) / x,L(y,z,u) / y). T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. 1 / L(((x / y) * ((1 / y) \ z)) \ u,u,u) = u \ (y \ ((y * x) * z)). x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. x != R(y / z,u,w) * z | x = z * R(z \ y,u,w). (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). (x * R(x \ y,z,u)) / y = (x / y) * R((x / y) \ 1,z,u). (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). x != (((y \ 1) \ 1) * z) / u | x = 1 / (u * (z \ (1 / y))). ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = 1 / (x * (y \ (1 / x))). T(x,y) \ ((x \ z) \ z) = ((x \ z) \ z) * (T(x,y) \ 1). ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). ((1 / x) * y) * (1 / ((y \ x) / z)) = (z \ (y \ x)) \ ((1 / x) * y). x / (y \ ((z \ 1) * (1 / (x \ 1)))) = (z * (y / (1 / x))) * (1 / x). (1 * (x \ (1 / x))) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). x \ (y * R(y \ x,z,u)) = (x \ y) * R((x \ y) \ 1,z,u). (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). x != (y \ 1) * ((z * ((y \ 1) \ 1)) / z) | x = y \ ((z * y) / z). K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x). (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). K(L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). K(R(x,y,z),1 / x) = x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)). x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). ((x \ (y \ z)) \ ((1 / z) * y)) \ 1 = (1 / ((y \ z) / x)) \ (((1 / z) * y) \ 1). (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = ((z \ (x \ y)) \ ((1 / y) * x)) \ 1. ((1 / x) * y) * (1 / ((y \ x) / T(z,z \ (y \ x)))) = T(z \ (y \ x),z) \ ((1 / x) * y). x / (y \ ((z \ 1) * x)) = (z * (y / (1 / x))) * (1 / x). (x * (y / (1 / z))) * (1 / z) = z / (y \ ((x \ 1) * z)). (x \ (1 / x)) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). x != (y \ (1 / y)) \ z | x = y * ((y \ 1) \ z). ((x \ 1) \ 1) * ((y \ 1) * x) = x * ((x \ 1) \ (T(y,x) \ 1)). ((x \ 1) \ 1) * ((y \ 1) * x) = x * ((x \ y) \ 1). ((x \ 1) \ 1) * ((y \ 1) * x) = (y / x) \ x. x != ((y \ 1) \ 1) * ((z \ 1) * y) | x = (y \ 1) \ (z \ ((y \ 1) \ 1)). (x / y) \ y = (y \ 1) \ (x \ ((y \ 1) \ 1)). (x \ 1) \ (y \ ((x \ 1) \ 1)) = (y / x) \ x. x != (y * z) * L((y * z) \ u,w,v5) | x = y * (z * L(z \ (y \ u),w,v5)). (x * L(x \ y,z,u)) * w = x * (w * L(w \ (x \ (y * w)),z,u)). x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. x != (y * z) * L((y * z) \ y,u,w) | x = y * (z * L(z \ 1,u,w)). ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y. T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). x * y != z * L(z \ T(u,z),w,v5) | x \ T(z * L(z \ u,w,v5),z) = y. x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). x \ T(x * L(y,z,u),x) = L(x \ T(x * y,x),z,u). L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). L(T(x,y) / y,z,u) = y \ T(y * L(x / y,z,u),y). x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). x != y \ T(y * L((y * z) / y,u,w),y) | x = T(y * L(z,u,w),y) / y. L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. (x * L(x \ 1,y,z)) * u = x * (u * L(u \ (x \ u),y,z)). x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. x * y != (z * x) * L((z * x) \ x,u,w) | T(z * L(z \ 1,u,w),x) = y. T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). x * y != (z / u) * (u * L(u \ ((z / u) \ w),v5,v6)) | (z * L(z \ w,v5,v6)) / y = x. (x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. x * y != (x * z) * L(u,z,x) | y = z * u. K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. x * y != K(x,x \ 1) * L(x,z,u) | y = L(x,z,u) * (1 / x). K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). x * (K(x,x \ 1) * y) = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. x != K(y,y \ 1) * (y * z) | x = T(y,y \ 1) * L(z,y,K(y,y \ 1)). x * (K(x,x \ 1) * y) = T(x,x \ 1) * L(y,x,K(x,x \ 1)). T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). (1 / x) * y != K(x,x \ 1) * z | x \ L(y,1 / x,x) = z. K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | y = L(z,K(x,x \ 1),x). L(x,y,K(y,y \ 1)) = L(x,K(y,y \ 1),y). L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). L(x,K(y \ 1,y),1 / y) = L(x,1 / y,K(1 / y,(1 / y) \ 1)). L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). x != (y * z) * R((y * z) \ u,w,v5) | x = y * (z * R(z \ (y \ u),w,v5)). (x * R(x \ y,z,u)) * w = x * (w * R(w \ (x \ (y * w)),z,u)). x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. x * y != (z * x) * R((z * x) \ (u * x),w,v5) | T(z * R(z \ u,w,v5),x) = y. T(x * R(x \ y,z,u),y) = (y \ (x * y)) * R((y \ (x * y)) \ y,z,u). (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u). x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). x * y != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. (x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y. (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. (x * y) / R(y,z,u) != w | w = (x / R(y,z,u)) * y. (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)). R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). (x * R(y,z,u)) * T(y,x) = R(y,x,R(y,z,u)) * (x * R(y,z,u)). R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). x != T(y * z,y) * T(y,z) | x = R(y,z,y) * T(y * z,y). (x * y) * R(x,y,x) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). x != T(y * z,y) * T(y,z) | x = (R(y,z,y) * z) * y. (x * y) * R(x,y,x) = (R(x,y,x) * y) * x. (R(x,y,x) * y) * x = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). x * y != z * R(z \ T(u,z),w,v5) | T(z * R(z \ u,w,v5),z) / y = x. T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). x * y != z * R(z \ T(u,z),w,v5) | x \ T(z * R(z \ u,w,v5),z) = y. x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u). R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. (x * R(x \ 1,y,z)) * u = x * (u * R(u \ (x \ u),y,z)). x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. (x * y) * (y / (x * y)) = (x * (((x * y) * (x \ 1)) / (x * y))) * y. (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). x != (y * (z * u)) \ ((y * z) * u) | x = a(y,z,u). L(L(x,y,z) \ x,L(x,y,z),z * y) = a(z,y,x). a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). ((x * y) * z) * ((x * (y * z)) \ 1) = T(a(x,y,z),(y * z) \ (x \ 1)). L(x,y,z) \ (1 / (z * y)) != u * (1 / (z * y)) | (z * (y * x)) \ (z * y) = u. L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. (1 / x) \ ((L(x,x,x) \ y) * z) = (y * (z / (1 / x))) * (1 / x). L(((x \ 1) \ ((x \ (1 / y)) * z)) \ 1,x,x) = x * ((z / (x \ 1)) \ y). x != (y \ z) \ ((z / y) * u) | x = (z / y) * ((y \ z) \ u). L(x,K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ (K(y \ 1,y) * x)). (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). ((T(x,y) \ x) * y) \ 1 = y \ (((T(x,y) \ x) * y) \ y). x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. 1 / (((((x / y) * ((1 / y) \ z)) \ u) * (1 / u)) * u) = u \ (y \ ((y * x) * z)). L(R(x,y,x),y,R(x,y,x)) = x. ((x * y) * z) * ((y * z) \ (x \ 1)) = T(a(x,y,z),(y * z) \ (x \ 1)). ((1 / x) * (y / x)) \ ((x \ y) \ 1) = (x / ((y / x) \ x)) \ ((y / x) \ x). (x / ((y / x) \ x)) \ ((y / x) \ x) = ((1 / x) * (y / x)) \ ((x \ y) \ 1). x * (1 / (x * y)) = 1 / ((x * y) * (y \ (y / x))). 1 / ((x * y) * (y \ (y / x))) = x * (1 / (x * y)). T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). (x \ 1) \ ((x \ y) * z) = x \ ((x * (y * (z / (x \ 1)))) / x). x \ ((x * (y * (z / (x \ 1)))) / x) = (x \ 1) \ ((x \ y) * z). x \ ((x * (y * ((1 / z) \ x))) / x) = (x \ 1) \ ((x \ y) * z). (x * ((1 / y) \ z)) * (z \ 1) = (z \ 1) \ ((z \ x) * y). (x \ (((1 / 1) \ (x * y)) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ (y \ 1)). T(x / (y * (z \ (y / z))),y / z) = T(x * (z * (y \ 1)),x) / (y / z). (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). x != (y \ z) * T((y \ z) \ 1,u) | x = y \ (z * T(z \ y,u)). K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). K(x \ y,T(x,y)) = y \ (x * T(x \ y,T(x,y))). x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). K(x \ y,x) = K(x \ y,T(x,y)). K(x \ y,T(x,y)) = K(x \ y,x). x != K(y \ (y * z),u) | x = K(z,u). K(x \ (x * y),x) = K(y,T(x,x * y)). K(x,T(y,y * x)) = K(x,y). x != K(y,z) | x = K(u \ (u * y),z). K(x,T(y,y * x)) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,T(z,z * y)). K(x,T(y,x * y)) = K(x,y). K(x,T(x \ y,y)) = K(x,x \ y). x != (y * z) * ((u * ((y * z) \ z)) / u) | x = (y * ((u * (y \ 1)) / u)) * z. x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). T(x,x / (x * y)) = x * (y * ((x * (y \ 1)) / x)). x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x != y * ((z * (y \ 1)) / z) | x = K(z,(z / y) / z). x \ T(x,x / (x * y)) = K(x,(x / y) / x). x * y != z \ T(z,z / (z * u)) | (u * ((z * (u \ 1)) / z)) / y = x. (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). (x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. x * K(x,(x / y) / x) = T(x,x / (x * y)). x * K(x,y / x) = T(x,x / (x * (y \ x))). T(x,x / (x * (y \ x))) = x * K(x,y / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). T(x,R(y,x,(y * x) \ x)) = x * K(x,y). (x \ (x * K(x,y))) \ x = x * (T(x,R(y,x,(y * x) \ x)) \ x). x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). x != T(y,y / (y * T(y,z))) | x = T(y,T(y,z) \ 1). x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. (x * y) * T(K(y,x),z) = y * (T(x,y) * T(T(x,y) \ x,z)). x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). x * y = (y * x) * T(K(x,y),y). (x * y) * T(K(y,x),x) = y * x. K(x,y) = T(K(x,y),y). T(K(x,y),y) = K(x,y). T(x,K(y,x)) = x. x * y != T(K(z,u),u) | K(z,u) / y = x. K(x,y) / y = (1 / y) * K(x,y). (1 / x) * K(y,x) = K(y,x) / x. x * K(y,x) = K(y,x) * x. K(x,y) * y = y * K(x,y). (x * K(y,x)) / x = K(y,x). (x * K(y,x)) / x != z | z = K(y,x). (x * K(y,x)) / x != z | K(y,x) = z. x * (K(y,x) \ 1) = K(y,x) \ x. x * L(K(y,x),z,u) = L(K(y,x),z,u) * x. L(K(x,y),z,u) * y = y * L(K(x,y),z,u). T(x,y) = T(T(x,y),K(z,x)). T(T(x,y),K(z,x)) = T(x,y). K(x,y) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = K(z,x) * T(x,y). x \ (K(y,x) \ 1) = (x * K(y,x)) \ 1. (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y). R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. T(x,y \ T(y,x)) = x. T(x,x \ ((y * x) / y)) = x. T(x \ T(x,y),y) = x \ T(x,y). R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). T(K(x,y),T(y,z)) = K(x,y). ((x * y) / x) / y = y \ ((x * y) / x). T(x,y) * K(z,x) != u * T(x,y) | u = K(z,x). T(x,y) * K(z,x) != u * T(x,y) | K(z,x) = u. T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. T(K(x,T(y,z)),y) = K(x,T(y,z)). x * y != (1 / z) * K(u,z) | x \ (K(u,z) / z) = y. K(x,y) \ (K(x,y) / y) = 1 / y. x * y != z * (K(u,z) \ 1) | x \ (K(u,z) \ z) = y. (K(x,y) \ 1) \ (K(x,y) \ y) = y. K(x,y) \ y != y * z | K(x,y) \ 1 = z. x * (y \ T(y,x)) != z | (y \ T(y,x)) * x = z. T(x,K(y,T(x,z))) = x. K(x,y) / (y * K(x,y)) = 1 / y. (1 / x) * (x * K(y,x)) = K(y,x). (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). (1 / x) \ K(y,x) = x * K(y,x). x * y != (1 / z) * (z * K(u,z)) | x \ K(u,z) = y. x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). x * (((y * x) / y) / x) = (y * x) / y. R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ (((x / y) * R(y,z,u)) / (x / y)). R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. T(x,L(K(y,x),z,u)) = x. T(K(x,y),L(y,z,u)) = K(x,y). x != y * T(z,z \ u) | x = y * ((z \ u) \ u). K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). x != y \ T(z,z \ u) | x = y \ ((z \ u) \ u). (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). x * (x * (y \ 1)) = (y \ ((y * x) / y)) * ((y * x) / y). (x \ ((x * y) / x)) * ((x * y) / x) = y * (y * (x \ 1)). x * (y * (y * (x \ 1))) = (x * y) * (x \ ((x * y) / x)). (x * y) * (x \ ((x * y) / x)) = x * (y * (y * (x \ 1))). (x * y) * (y * (x \ 1)) = x * (y * (y * (x \ 1))). x != (y * z) * (z * (y \ 1)) | x = T(z,y \ 1) * T(z,y \ 1). x * (y * (y * (x \ 1))) = T(y,x \ 1) * T(y,x \ 1). T(x,y \ 1) * T(x,y \ 1) = y * (x * (x * (y \ 1))). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). x != y / T(y,z) | x = T(y,z) \ y. K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. T(x \ 1,T(x,y) \ x) = x \ 1. (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. T(x,y) \ 1 = (x \ 1) * (T(x,y) \ x). (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. x != (y \ 1) \ (T(y,z) \ 1) | x = (y \ T(y,z)) \ 1. T(x,y) \ x = (x \ T(x,y)) \ 1. (x \ T(x,y)) \ 1 = T(x,y) \ x. (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). ((x / y) \ (y \ x)) \ 1 = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. (x \ (x * K(x,y))) \ 1 = T(x,R(y,x,(y * x) \ x)) \ x. T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. (T(x,y) \ 1) * z != T(x,y) \ x | T(x,T(x,y) \ 1) = z. T(x,T(x,y) \ 1) = (x \ 1) \ 1. x != (y \ 1) \ 1 | x = y * K(y,y \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). T(x / y,x \ y) = ((x / y) \ 1) \ 1. T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. x != ((y / (y * z)) \ 1) \ 1 | x = y / (y * ((z \ 1) \ 1)). T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). T(x / (x * y),y) = x / (x * T(y,y \ 1)). x / (x * T(y,y \ 1)) = T(x / (x * y),y). T(x / (x * y),y) \ x = x * T(y,y \ 1). (x \ y) \ (y / x) = ((y / x) \ (x \ y)) \ 1. ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). (((x * y) / x) \ y) \ 1 = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. x \ ((y * x) / y) = (((y * x) / y) \ x) \ 1. (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. x * (K(x,y) \ 1) = K(x,y) \ x. x * (y \ 1) != y \ z | x = T(z,y). x = T(x,K(x,y)). T(x,K(x,y)) = x. T(K(x,y),x) = K(x,y). K(x,y) * x = x * K(x,y). K(x,y) * x != z | x * K(x,y) = z. K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). x \ 1 = K(x,y) \ (x \ K(x,y)). K(x,y) \ (x \ K(x,y)) = x \ 1. K(x,y) * (x \ 1) = x \ K(x,y). K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y). L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). K(x,y) * R(x,z,u) = R(x,z,u) * K(x,y). R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). (x * y) / x = T((x * y) / x,K(y,z)). T((x * y) / x,K(y,z)) = (x * y) / x. K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. T(x,y \ ((x * y) / x)) = x. x * R(K(x,y),z,u) = R(K(x,y),z,u) * x. R(K(x,y),z,u) * x = x * R(K(x,y),z,u). T(x,T(y,x) \ y) = x. (T(x,y) \ x) * y = y * (T(x,y) \ x). K(x,y) * (x \ 1) != z | z = x \ K(x,y). K(x,y) * (x \ 1) != z | x \ K(x,y) = z. (x \ 1) * K(x,y) = x \ K(x,y). (K(x,y) / x) * L(z,K(x,y),1 / x) = (1 / x) * (K(x,y) * z). T(K(x,y),T(T(x,z),u)) = K(x,y). T(K(x,y),(z * x) / z) = K(x,y). T(K(x \ y,z),y / x) = K(x \ y,z). x != (T(y,z) \ y) * z | x = T(z,R(T(y,z),T(y,z) \ 1,z)). x * (T(y,x) \ y) = T(x,R(T(y,x),T(y,x) \ 1,x)). T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. T(x / y,K(y \ x,z)) = x / y. T(K(x,y),L(x,z,u)) = K(x,y). L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. T(K(x,y),R(x,z,u)) = K(x,y). (R(K(x,y),z,u) * x) * w != x * R(K(x,y),z,u) | 1 = w. 1 = K(x,R(K(x,y),z,u)). K(x,R(K(x,y),z,u)) = 1. x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = (x \ T(x * (z / y),y)) * y. (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). T((x \ 1) * y,x) = (x \ 1) * ((x \ y) * x). (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). (x \ 1) * (y * x) = T((x \ 1) * (x * y),x). T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). (x \ 1) * (K(y \ x,y) * x) = T((x \ 1) * ((y \ x) * y),x). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). T(x,T((x \ 1) * y,x)) = T(x,x \ y). T(x,(x \ 1) * y) = T(x,x \ y). T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != K(y,(y / z) / y) | x = z * ((y * (z \ 1)) / y). T(x * ((y * (x \ 1)) / y),z) = T(x,z) * ((y * (T(x,z) \ 1)) / y). T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). T(K(x,y / x),z) = K(x,(x / T(y \ x,z)) / x). K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)). T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). T(K(x,y / x),K(y / x,z)) = K(x,y / x). T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,y). T(K(x,y),K(z,x)) = K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x,y) * T(K(z,x),u) = T(K(z,x),u) * K(x,y). T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). K(x,y) * L(K(z,x),u,w) = L(K(z,x),u,w) * K(x,y). L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). K(x,y) * R(K(z,x),u,w) = R(K(z,x),u,w) * K(x,y). R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * R(K(y,z),u,w) = R(K(y,z),u,w) * K(x,y). R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). x * y != T(x,T(x,z) \ 1) | y = K(x,x \ 1). T(K(x,x \ 1),y) = K(x,x \ 1). T(x,K(y,y \ 1)) = x. x * y != T(K(z,z \ 1),u) | K(z,z \ 1) / y = x. K(x,x \ 1) / y = (1 / y) * K(x,x \ 1). (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). x * K(y,y \ 1) != K(y,y \ 1) * z | z = x. K(x,x \ 1) * y != z * K(x,x \ 1) | y = z. x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. K(x,x \ 1) * (y \ 1) != z | y \ K(x,x \ 1) = z. T(x,K(y \ 1,y)) = x. x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. T(K(x \ 1,x),y) = K(x \ 1,x). K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. x != T(K(y \ 1,y),z) | x = K(y \ (y / T(y,z)),y). K(x \ 1,x) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = K(x \ 1,x). T((x \ 1) * x,y) = K(x \ 1,x). x * K(y \ 1,y) != K(y \ 1,y) * z | z = x. K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. x != K(y,y \ 1) * (y \ L(y,z,u)) | x = L(y,z,u) * (1 / y). (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). x * y != K(z,z \ 1) * u | x \ (u * K(z,z \ 1)) = y. (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). x != y * K(z,z \ 1) | x = K(z,z \ 1) * y. K(x,x \ 1) / y = K(x,x \ 1) * (1 / y). K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. x / (y \ K(z,z \ 1)) = (1 / x) \ (y * K(z \ 1,z)). (1 / x) \ (y * K(z \ 1,z)) = x / (y \ K(z,z \ 1)). x != T(1 / T(y,z),y) | x = T(y,z) \ 1. K(x \ 1,x) / T(x,y) = T(x,y) \ 1. (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). x * K(y \ 1,y) != T(1 / (1 / y),z) | x = y * (T(y,z) / y). T(x,y) = x * (T(x,y) / x). x * (T(x,y) / x) = T(x,y). x \ T(x,y) = T(x,y) / x. T(x,y) / x = x \ T(x,y). T(x,y) * z != x * (T(x,y) / x) | 1 = z. 1 = K(x,T(x,y) / x). K(x,T(x,y) / x) = 1. (x \ T(x,y)) * x = T(x,y). x * y != K(z,T(z,u) / z) | x \ 1 = y. x \ 1 = T(1 / x,T(x,y)). T(1 / x,T(x,y)) = x \ 1. x \ ((y * x) / y) = y \ T(y,R(x,x \ 1,y)). x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). (1 / x) * T(x,y) = x \ T(x,y). x * T(x \ 1,y) = (x \ 1) \ T(x \ 1,y). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). x != T(y,z) / y | x = (1 / y) * T((1 / y) \ 1,z). x \ T(x,y) = (1 / x) * T((1 / x) \ 1,y). (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). (x \ T(x,y)) * x != z | z = T(x,y). (x \ T(x,y)) * x != z | T(x,y) = z. (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. K(x,x \ T(x,y)) = 1. T(x,x \ T(x,y)) = x. T(x,K(y \ (y / (x \ 1)),y)) = x. x != (y \ T(y,y / (y * z))) * y | x = T(y,R(1 / z,z,y)). T(x,x / (x * y)) = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = T(x,x / (x * y)). L(x,y,y \ T(y,z)) = T(y,z) \ ((y \ T(y,z)) * (y * x)). T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). (x \ ((x \ y) \ y)) * x = T(x,x \ y). T(1 / (1 / x),T(1 / x,y)) = x. T(x \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). K(x \ 1,T(x,y)) = x * T(x \ 1,T(x,y)). x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). T(x,x \ 1) = T(x,T(1 / x,y)). T(x,T(1 / x,y)) = T(x,x \ 1). T(x * T(x \ 1,x),y) = K(T(x,z) \ (T(x,z) / T(x,y)),T(x,z)). K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). T(x,x / (y * x)) = T(x,x / (x * y)). x != y * T(y \ 1,z) | x = K(z \ (z / y),z). (x \ 1) \ T(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). K(x \ 1,y) = L(x * T(x \ 1,y),x \ 1,y). L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. x * T(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = x * T(x \ 1,x). x != y * T(y \ 1,y) | x = K(y \ 1,y). K(x \ 1,T(x,y)) = K(x \ 1,x). (x \ ((y * x) / y)) \ y = y * (T(y,R(x,x \ 1,y)) \ y). x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. 1 / (x \ ((y * x) / y)) = T(y,R(x,x \ 1,y)) \ y. T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). x != 1 / (y \ ((z * y) / z)) | x = ((z * y) / z) \ y. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). (x * (T(y,x) \ y)) \ x = y \ T(y,x). (x * (T(y,x) \ y)) * (y \ T(y,x)) = x. x / (y \ T(y,x)) = x * (T(y,x) \ y). x \ (y \ T(y,x)) = (x * (T(y,x) \ y)) \ 1. (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x). L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. x * (((x * y) / x) \ y) = (y \ ((x * y) / x)) \ x. (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). (T(x,y) \ x) \ y = y * (((y * T(x,y)) / y) \ T(x,y)). x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. x * (y \ T(y,x)) = (T(y,x) \ y) \ x. (T(x,y) \ x) \ y = y * (x \ T(x,y)). (T(x,y) \ x) * (y * (x \ T(x,y))) = y. K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). x != T((y \ 1) * y,z) | x = K(y \ 1,y). K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). K(x \ 1,x) / T(x,y) = T(1 / T(x,y),T(x,z)). T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). x != K(y \ 1,y) / T(y,z) | x = T(y,z) \ 1. T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). T(x,y) \ R(x,z,u) = R(x,z,u) * (T(x,y) \ 1). R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). (x * (y * (1 / y))) * y = (x * y) * (y * L(y \ 1,y,1 / y)). (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. (x * y) * (y * (1 / y)) = (x * (y * (1 / y))) * y. (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. T(x,y) = R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)). R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). x != (y \ 1) \ (K(y \ 1,y) * z) | x = L((1 / y) \ z,1 / y,K(y \ 1,y)). K(x \ 1,x) * ((x \ 1) \ y) = L((1 / x) \ y,1 / x,K(x \ 1,x)). L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). (x / ((y / x) \ x)) \ ((y / x) \ x) = ((x \ y) / x) \ ((x \ y) \ 1). x != (y / z) \ (y \ 1) | x = z / (y * y). (x / ((y / x) \ x)) \ ((y / x) \ x) = x / ((x \ y) * (x \ y)). (x / y) \ ((x / y) \ y) = y / ((y \ x) * (y \ x)). x / ((x \ y) * (x \ y)) = (y / x) \ ((y / x) \ x). (x \ ((1 \ (x * y)) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ (y \ 1)). (x \ 1) * ((y * (x \ 1)) \ (z \ 1)) = (x \ ((1 \ (x * z)) * y)) \ 1. (x \ 1) * ((y * (x \ 1)) \ (z \ 1)) = (x \ ((x * z) * y)) \ 1. (x \ 1) * ((y * (x \ 1)) \ z) = (x \ ((x * (1 / z)) * y)) \ 1. (x \ ((x * (1 / y)) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ y). x != y \ (z * (z \ y)) | x = 1. K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. 1 / (x \ y) = T(1 / (x \ y),(y \ x) * (x \ y)). T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). x != T(1 / (y \ z),(z \ y) * (y \ z)) | x = ((z \ y) * (y \ z)) \ (z \ y). 1 / (x \ y) = ((y \ x) * (x \ y)) \ (y \ x). ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. L(x \ 1,x,(y * x) \ y) = 1 / x. (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. L(x \ 1,x,y / (x * y)) = 1 / x. L(1 / x,x,y) = L((y * x) \ y,x,(z * x) \ z). L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). L(x \ 1,x,R(1 / x,x,y)) = 1 / x. R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. (L(x \ 1,x,y) * x) * (1 / x) = (y * x) \ y. (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). T(x,(y * x) \ y) = K(((y * x) \ y) \ (((y * x) \ y) * x),(y * x) \ y) * x. K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. T(1 / (1 / x),R(1 / x,x,y)) = x. T(1 / (1 / x),y / (x * y)) = x. T(x,x \ 1) = T(x,y / (x * y)). T(x,y / (x * y)) = T(x,x \ 1). T(x,y / (x * y)) = (x \ 1) \ 1. x * y != T(z,z \ 1) | x \ T(z,u / (z * u)) = y. x \ T(x,y / (x * y)) = K(x,x \ 1). T(x,(x \ y) / y) = T(x,x \ 1). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. T(x / y,y / x) = ((x / y) \ 1) \ 1. x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(x,(y * x) \ y) = T(x,x \ 1). T(x,(y * x) \ y) = (x \ 1) \ 1. T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. T(x \ y,y \ x) \ 1 = (1 / y) * x. x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). T(K(x \ y,x),(y \ x) \ 1) = K(x \ (x / T(y \ x,x \ y)),x). K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). x != T(y / (z * y),z) | x = R(z \ 1,z,y). ((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x). R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). x != T(y,y / (z * y)) | x = T(y,y / (y * z)). T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). T(x,R(y \ 1,y,z)) = T(x,R(1 / y,y,z)). T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). x != T(y,R(1 / z,z,y)) | x = (z * ((y * (z \ 1)) / y)) * y. T(x,R(y \ 1,y,x)) = (y * ((x * (y \ 1)) / x)) * x. (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). T(K(x,y),K(y,x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). (K(x,y) \ 1) \ 1 = T(K(x,y),K(y,x)). T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. x != T(K(y,z),K(u,y)) | x = K(y,z). (K(x,y) \ 1) \ 1 = K(x,y). 1 / (1 / K(x,y)) = K(x,y). K(x,y) \ 1 != z | z = 1 / K(x,y). K(x,y) \ 1 != z | 1 / K(x,y) = z. (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). x != K(y \ (y / T(z \ y,u)),y) | x = T(K(y \ z,y),u). T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). T(K(x,y),((y * x) \ y) \ 1) = T(K(y \ (y * x),y),y \ (y * x)). T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). T(K(x,y),y \ (y * x)) = T(K(x,y),((y * x) \ y) \ 1). T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). x \ (y * ((z * (y \ u)) / z)) = (x \ y) * ((z * ((x \ y) \ (x \ u))) / z). (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). ((x \ (y / z)) \ 1) / ((x \ y) \ 1) = R(z,y \ 1,(x \ 1) \ 1). R(x,y \ 1,(z \ 1) \ 1) != u | (z \ (y / x)) \ (z \ y) = u. R(x,T(y,z) \ y,y \ T(y,z)) = (x * (T(y,z) \ y)) * (y \ T(y,z)). (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,y \ T(y,z)). x != (y * (T(z,y) \ z)) * (z \ T(z,y)) | x = y. R(x,T(y,x) \ y,y \ T(y,x)) = x. R((x * y) / x,T(z,y) \ z,z \ T(z,y)) = (x * y) / x. x != R(y,T(z,u) \ z,z \ T(z,u)) | x = (y * (T(z,u) \ z)) * (z \ T(z,u)). (x * y) / x = (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)). (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)) = (x * y) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x != T(y,R(T(z,y),T(z,y) \ 1,y)) | x = (T(z,y) \ z) * y. (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. x != (T(y,z) \ y) * z | x = z * (T(y,z) \ y). (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). (x * (y \ T(y,x))) \ (x * x) != x * z | T(y,x) \ y = z. ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = ((y / x) \ z) * 1. (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = (y / x) \ z. (((1 / x) * y) \ (y \ x)) \ z = (T(y / x,y) * ((1 / x) * y)) * z. (T(x / y,x) * ((1 / y) * x)) * z = (((1 / y) * x) \ (x \ y)) \ z. (T(x / y,x) * ((1 / y) * x)) * z = (((x / y) * x) \ y) \ z. x * ((1 / y) * z) != (z \ y) \ ((1 / y) * z) | x = (1 / y) * z. T(x / y,x) * ((1 / y) * x) = (1 / y) * ((x / y) * x). (T(x / y,x) * ((1 / y) * x)) * z = ((x \ y) \ 1) * ((x \ y) \ z). ((x \ y) \ 1) * ((x \ y) \ z) != u * z | T(x / y,x) * ((1 / y) * x) = u. x != (1 / y) \ ((y \ 1) \ z) | x = y * (y * z). T(x / y,x) \ ((((1 / y) * x) * ((1 / y) * x)) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). T(x / y,x) \ (((x \ y) \ ((1 / y) * x)) * z) = (1 / ((1 / y) * x)) \ z. T(x / y,x) \ (((x \ y) \ ((1 / y) * x)) * z) = (((x \ y) \ 1) \ 1) \ z. T(x / y,x) \ (((x \ y) \ 1) * ((x \ y) \ z)) = (((x \ y) \ 1) \ 1) \ z. L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = T(y,x \ 1) * T(y,x \ 1). (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((x / y) \ ((x / y) / z)) \ 1. (x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). x * y != (z * x) * R((z * x) \ x,u,w) | T(z * R(z \ 1,u,w),x) = y. T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z). T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). T(x \ 1,x \ L(x,y,z)) * R((x \ 1) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),x \ L(x,y,z)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). R(x,y,z) \ T(x,u) = T(x,u) * (R(x,y,z) \ 1). T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ T(y / x,x). R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). R(x / y,z,u) \ (y \ x) = (y \ x) * (R(x / y,z,u) \ 1). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ (y \ (y * x)). R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). R((x * y) / x,z,u) \ y = y * (R((x * y) / x,z,u) \ 1). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. ((x \ 1) \ y) * ((x \ z) \ 1) = ((x \ 1) \ 1) * ((x \ (z / y)) \ 1). ((x \ 1) \ 1) * ((x \ (y / z)) \ 1) = ((x \ 1) \ z) * ((x \ y) \ 1). (x \ 1) \ ((1 / (y * (z * (u \ 1)))) \ x) = ((x \ 1) \ y) * ((x \ (u / z)) \ 1). (1 / (((1 / x) * y) * z)) \ ((y \ x) \ 1) = ((1 / x) * y) * (z * ((1 / x) * y)). x != T(y,K(z \ (z / (y \ 1)),z)) | x = y. (((x * y) / x) \ y) \ y = (x * y) / x. (((x * y) / x) \ y) * ((x * y) / x) = y. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). ((x * (y / (z \ 1))) * (z \ 1)) / (z \ 1) = (z * ((z \ x) * y)) * z. (x * ((x \ y) * z)) * x = y * (z / (x \ 1)). (x * (y * z)) * x = (x * y) * (z / (x \ 1)). (x * y) * (z / (x \ 1)) = (x * (y * z)) * x. (x * y) * (z \ x) = (x * (y * (z \ 1))) * x. (x * (y * (z \ 1))) * x = (x * y) * (z \ x). (x * y) * ((1 / z) \ x) = (x * (y * z)) * x. (x * y) * T(z,x) = (x * (y * (x \ z))) * x. (x * (y * (x \ z))) * x = (x * y) * T(z,x). x != (y * (z * (u \ 1))) * y | x = y * ((u / z) \ y). (x * y) * (z \ x) = x * ((z / y) \ x). (x * y) * ((1 / z) \ x) != u * x | x * (y * z) = u. (x * y) * x = (x * x) * T(y,x). (x * x) * T(y,x) = (x * y) * x. x != ((1 / y) * z) * u | x = T(z / y,z) * u. ((1 / x) * y) * (1 / x) = T((1 / x) / x,1 / x) * T(y,1 / x). T((1 / x) / x,1 / x) * T(y,1 / x) = ((1 / x) * y) * (1 / x). (x * x) * (x \ y) = (x * (y / x)) * x. (x * (y / x)) * x = (x * x) * (x \ y). (x * x) * ((x \ 1) * y) = (x * (y * (1 / x))) * x. (x * (y * (1 / x))) * x = (x * x) * ((x \ 1) * y). (x \ 1) \ y = (x * x) * (x \ y). (x * x) * (x \ y) = (x \ 1) \ y. (x * ((1 / x) * y)) * x = (x * x) * (x \ T(y,x)). (x * x) * (x \ y) != z | (x \ 1) \ y = z. x != (y \ 1) \ T(z,y) | x = z / (1 / y). (x * x) * (x \ T(y,x)) = y / (1 / x). x * y != ((z \ u) \ 1) \ z | (((u \ z) \ 1) * z) / y = x. (((x \ y) \ 1) * y) / ((y \ x) \ y) = (y \ x) * (y \ x). x * y != (z \ 1) \ ((z \ 1) / u) | x \ ((u * (z \ u)) \ (u * (z \ 1))) = y. (x * x) \ ((y * (x \ y)) \ (y * (x \ 1))) = x \ ((x \ 1) / y). x * y != (z \ 1) \ T(u,z \ 1) | x \ T(z * u,z \ 1) = y. (x * x) \ T(x * y,x \ 1) = x \ T(y,x \ 1). x * y != (z \ 1) \ ((u \ z) \ 1) | x \ ((u \ 1) \ 1) = y. (x * x) \ ((y \ 1) \ 1) = x \ ((y \ x) \ 1). (x * x) \ y = x \ ((x \ 1) * y). x \ ((x \ 1) * y) = (x * x) \ y. x * y != (z * z) * (z \ u) | x \ ((z \ 1) \ u) = y. x \ ((x \ 1) \ y) = (1 / x) \ (x \ y). (1 / x) \ (x \ y) = x \ ((x \ 1) \ y). ((x / y) * (x / y)) * y = ((x / y) \ 1) \ x. x * ((x * x) \ y) = (x \ 1) * y. (x * y) * (((x * y) * (x * y)) \ z) = (y \ (x \ 1)) * z. x * (1 / ((y \ x) * x)) = (x \ 1) * y. x * ((1 / x) * (x \ y)) = (x \ 1) * y. x * (1 / (y * x)) = (x \ 1) * (x / y). (x \ 1) * (x / y) = x * (1 / (y * x)). x * ((1 / x) * y) = (x \ 1) * (x * y). (x \ 1) * (x * y) = x * ((1 / x) * y). (x \ (y \ 1)) * (((y * x) \ (1 / (y * x))) \ z) = ((x \ (y \ 1)) \ 1) * z. x \ ((x \ 1) \ y) = x * ((1 / x) * y). (x \ (y \ 1)) * ((y * x) / z) = (y * x) * (1 / (z * (y * x))). (x * (y \ 1)) * ((y / x) / z) = (y / x) * (1 / (z * (y / x))). (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = (x \ ((x / z) * y)) * (1 / (u * (x \ ((x / z) * y)))). (x \ ((x / y) * z)) * (1 / (u * (x \ ((x / y) * z)))) = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). x * ((1 / x) * y) = (1 / x) * ((1 / (1 / x)) * y). (1 / x) * ((1 / (1 / x)) * y) = x * ((1 / x) * y). x != y * ((1 / y) * z) | x = (z * y) * (1 / y). (x \ 1) * (x * y) = (y * x) * (1 / x). (x \ (y \ 1)) * ((y * x) * z) = (y * x) * ((1 / (y * x)) * z). (x * (y \ 1)) * ((y / x) * z) = (y / x) * ((1 / (y / x)) * z). (T(x / y,x) \ 1) * (((1 / y) * x) * z) = T(x / y,x) * ((1 / T(x / y,x)) * z). T(x / y,x) * ((1 / T(x / y,x)) * z) = (T(x / y,x) \ 1) * (((1 / y) * x) * z). ((x * y) / ((x \ 1) * z)) * (x * ((1 / x) * y)) = ((x * y) / z) * (x * y). (x * ((1 / x) * y)) \ (x \ 1) = (x * (x * y)) \ x. x \ ((x \ 1) \ y) = (y * x) * (1 / x). x * (x * ((1 / x) * y)) = (x \ 1) \ y. (x * y) \ ((y \ (x \ 1)) \ z) = (x * y) * ((1 / (x * y)) * z). x != (y \ 1) * z | x = T(z * (1 / y),y). (x * y) * (1 / y) = T((y * x) * (1 / y),y). T((x * y) * (1 / x),x) = (y * x) * (1 / x). x \ ((x \ 1) \ (y / x)) = y * (1 / x). x * (x * y) = (x \ 1) \ ((1 / x) \ y). (x \ 1) \ ((1 / x) \ y) = x * (x * y). x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). x * (y * (1 / x)) = (x \ 1) \ (y / x). (x \ 1) \ (y / x) = x * (y * (1 / x)). ((x \ 1) \ 1) \ (x \ y) = (x \ 1) * ((x \ 1) * y). x != (y \ 1) \ (z / y) | x = ((y \ 1) \ z) * (y \ 1). x * (y * (1 / x)) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). x * y != (z \ 1) \ (u / z) | (z * (u * (1 / z))) / y = x. (x * (y * (1 / x))) / x = x * ((y / x) / x). (x * (y \ 1)) \ (z / (y / x)) = (y / x) * (z * (1 / (y / x))). 1 / (x * (y * (1 / x))) != z | (1 / (y / x)) * (x \ 1) = z. (x \ 1) \ (((y / x) / (x \ 1)) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. (x \ 1) \ ((y / ((1 / x) * (1 / x))) / x) = x * (y * (1 / (1 / x))). (x * (y \ (x / y))) * y = ((x / y) \ 1) \ x. T(x * (1 / y),y) = ((y \ x) * y) * (1 / y). ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. x * y != z * (z * (K(u,z) / z)) | x \ ((z \ 1) \ K(u,z)) = y. T(x,y) \ ((x \ 1) \ K(z,x)) = x * (T(x,y) \ (x * (K(z,x) / x))). x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). x != (y \ z) * y | x = (y \ 1) * (z * y). x * (y * (1 / x)) = ((x \ 1) \ 1) * (y * (x \ 1)). ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). x * y != ((z \ 1) \ u) * (z \ 1) | (z * (u * (1 / z))) / y = x. (x * (y * (1 / x))) / x = ((x \ 1) \ y) * (x \ (1 / x)). ((x \ 1) \ y) * (x \ (1 / x)) = (x * (y * (1 / x))) / x. (x * (1 / y)) * (y \ 1) = (x / y) / y. x != y / (z \ (u \ 1)) | x = (1 / y) \ (u * z). (x * (1 / (y \ (z \ 1)))) * ((y \ (z \ 1)) \ 1) = (1 / (x / (y \ (z \ 1)))) \ (z * y). (x * (1 / (y \ (1 / z)))) * (z * ((y \ 1) \ 1)) = (x / (y \ (1 / z))) / (y \ (1 / z)). (x * (y \ (x / y))) * y = (y * (x \ 1)) \ x. T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. x * y != (z * (u \ 1)) \ u | (u * (z \ u)) / y = x. (x * (y \ x)) / y = x * (y \ (x / y)). T(((1 / x) \ y) * (x \ (((1 / x) \ y) / x)),x) = (y * ((x \ ((1 / x) \ y)) / x)) * x. x != (y * y) * (y \ T(z,y)) | x = z / (1 / y). (x * ((1 / x) * y)) * x = y / (1 / x). ((x \ 1) * y) * x = (x \ y) / (1 / x). (x \ y) / (1 / x) = ((x \ 1) * y) * x. ((x \ 1) * (x * y)) * x = y / (1 / x). x != ((y \ 1) * (y * L(y \ 1,y,z))) * y | x = (y * ((z * y) \ z)) * K(y \ 1,y). L(x \ 1,x,y) / (1 / x) = (x * ((y * x) \ y)) * K(x \ 1,x). (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). (1 / x) * (1 / (y / x)) = x * ((1 / x) * (1 / y)). 1 / (((x \ y) \ 1) * x) = (x \ 1) * ((x \ 1) * y). (((x \ y) \ 1) * y) / ((x \ y) * y) = (y \ x) * (y \ x). (x * y) * ((x * (y * (x * y))) \ z) = (y \ (x \ 1)) * z. x * y != ((z * u) \ z) * z | (u \ z) / y = x. (x \ (y \ 1)) / ((y * (((y \ 1) * x) * (y * ((y \ 1) * x)))) \ (y \ 1)) = y * ((y \ 1) * x). (x * x) \ (x \ (x / y)) = x \ ((x \ 1) / y). (x * x) \ (x \ (x / y)) = x \ (x \ (1 / y)). x != (y * y) \ (y \ (y / z)) | x = 1 / ((z * y) * y). x \ (x \ (1 / y)) = 1 / ((y * x) * x). 1 / ((x * y) * y) = y \ (y \ (1 / x)). x * (1 / ((y * x) * x)) = x \ (1 / y). x * (1 / (y * x)) = x \ (1 / (y / x)). x \ (1 / (y / x)) = x * (1 / (y * x)). x * (x * (1 / (y * x))) = 1 / (y / x). (1 / x) * y != 1 / (z / (1 / x)) | y = x * (1 / (z * x)). (1 / x) * (1 / (y * (1 / x))) = x * (1 / (y * x)). x * (x * (1 / (1 / T(y,x)))) = 1 / ((1 / (y * x)) / x). (1 / (x / (1 / y))) / z = 1 / (z * (((1 / y) * (1 / (x * (1 / y)))) \ y)). 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = (1 / (z / (1 / y))) / x. (x * (1 / (y / z))) / (z * (1 / (y * z))) = (z * (1 / (y * z))) / (z \ (x \ (z * (1 / (y * z))))). (x * (1 / (y * x))) / (x \ (z \ (x * (1 / (y * x))))) = (z * (1 / (y / x))) / (x * (1 / (y * x))). (1 / x) * ((x \ 1) \ (1 / y)) = x * (1 / (y * x)). 1 / (x * (y * (1 / (z * y)))) = (((1 / (z * (1 / y))) \ y) \ 1) \ (1 / x). (((1 / (x * (1 / y))) \ y) \ 1) \ (1 / z) = 1 / (z * (y * (1 / (x * y)))). (1 / x) * ((x \ 1) \ ((y * y) \ (1 / z))) = x * (1 / ((z * (y * y)) * x)). x * (x * ((T(y,x) \ 1) \ 1)) = 1 / ((1 / (y * x)) / x). x * (((y \ 1) \ 1) * x) = 1 / ((1 / (y * x)) / x). 1 / ((1 / (x * y)) / y) = y * (((x \ 1) \ 1) * y). x != y * (((z \ 1) \ 1) * y) | x = (y / (1 / z)) * y. 1 / ((1 / (x * y)) / y) = (y / (1 / x)) * y. (x \ 1) * ((y / (1 / z)) * y) = ((y * (z * y)) \ x) \ 1. (x \ 1) * y != ((z * u) \ x) \ 1 | y = (u \ (z \ 1)) \ 1. (x / (1 / y)) * x = ((y * x) \ (x \ 1)) \ 1. ((x * y) \ (y \ 1)) \ 1 = (y / (1 / x)) * y. (x \ 1) * y != (((1 / z) * u) \ x) \ 1 | y = (u \ z) \ 1. ((1 / x) / (1 / y)) * (1 / x) = ((y * (1 / x)) \ x) \ 1. ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = (y \ 1) / (1 / x). ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = ((1 / (x / y)) \ x) \ 1. x != (y \ 1) / z | x = y \ (1 / z). ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = y \ (1 / (1 / x)). ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = y \ ((x \ 1) \ 1). ((x \ (y / x)) \ 1) \ x = x \ ((y \ 1) \ 1). x \ ((y \ 1) \ 1) = (((y / x) \ x) \ 1) * x. (((x / y) \ y) \ 1) * y = y \ ((x \ 1) \ 1). x * y != y \ ((z \ 1) \ 1) | x = y \ (1 / (y / z)). ((x / y) \ y) \ 1 = y \ (1 / (y / x)). x * y != (z * u) \ ((u \ (z \ 1)) \ w) | x \ ((z * u) * ((1 / (z * u)) * w)) = y. ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = T(y * x,(x \ (y \ 1)) \ z) \ 1. ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ u) = ((x * y) * z) * ((1 / ((x * y) * z)) * u). ((x \ (y \ 1)) \ z) / (((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z))) = (1 / (y * x)) \ ((x \ (y \ 1)) \ z). x != L(y \ 1,y,z) / (1 / y) | x = L(y \ 1,y,z) * y. (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. (x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x. K((x * y) \ x,y) = K(y \ 1,y). K(x \ y,y \ x) = K((y \ x) \ 1,y \ x). K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). K(x \ (x / y),y) = K(y \ 1,y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). K(x / y,y / x) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,x / y). K(x / (y * x),y) = K(y \ 1,y). K(((x * y) / x) \ T(x,y),T(y / x,T(x,y))) = K(T(y / x,T(x,y)) \ 1,T(y / x,T(x,y))). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). x != K(y \ 1,y) | x = K(1 / y,y). K(x \ y,y \ x) = K(1 / (y \ x),y \ x). K(1 / (x \ y),x \ y) = K(y \ x,x \ y). T(x,K(y \ z,z \ y)) = x. x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). x * K(y \ z,z \ y) = K(y \ z,z \ y) * x. K(x \ y,y \ x) * z = z * K(x \ y,y \ x). (1 / x) * K(y \ z,z \ y) = K(y \ z,z \ y) / x. K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). K((1 / x) * y,y \ x) = K(x \ y,y \ x). K(x * y,y \ (x \ 1)) = K((x \ 1) \ y,y \ (x \ 1)). K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). x != K(T(y,z) \ 1,T(y,u)) | x = K(y \ 1,y). K((x * y) \ y,T(x,y)) = K(x \ 1,x). K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). x * K(y \ 1,y) = (y * x) * ((((y * x) \ x) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). x != ((1 / y) * z) * (1 / y) | x = (y \ z) / y. T((1 / x) / x,1 / x) * T(y,1 / x) = (x \ y) / x. T(x \ (x \ 1),1 / x) * T(y,1 / x) = (x \ y) / x. T(x \ (x \ 1),x \ 1) * T(y,1 / x) = (x \ y) / x. (x \ T(x \ 1,x)) * T(y,1 / x) = (x \ y) / x. (x \ (1 / x)) * T(y,1 / x) = (x \ y) / x. (x \ (1 / x)) * T(y,x \ 1) = (x \ y) / x. x != (y \ (1 / y)) * z | x = (y \ 1) * (y \ z). (x \ y) / x = (x \ 1) * (x \ T(y,x \ 1)). (x \ 1) * (x \ T(y,x \ 1)) = (x \ y) / x. (x \ 1) \ (((1 / (y / x)) \ x) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. (x \ 1) \ ((y / (1 * (x \ (1 / x)))) / x) = x * (y * (1 / (1 / x))). x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = (x / (x \ y)) \ 1. ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = (x \ y) * (x \ 1). x != (y \ z) * (y \ 1) | x = y \ (z / y). ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = x \ (y / x). ((1 / x) / (y \ 1)) * (1 / x) = x \ (y / x). ((1 / (1 / x)) \ y) * (1 / x) = x \ (y / x). (1 / x) * (y * (1 / x)) = x \ (y / x). (((x \ 1) \ 1) \ y) * (1 / x) = x \ (y / x). (x \ 1) \ ((x * ((1 / x) * y)) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. (x \ 1) \ ((y / (x \ (1 / x))) / x) = x * (y * (1 / (1 / x))). (x \ 1) \ ((y * ((1 / x) \ x)) / x) = x * (y * (1 / (1 / x))). (x \ 1) \ (y / (1 / x)) = x * (y * (1 / (1 / x))). x != (y \ 1) \ (z / (1 / y)) | x = ((y \ 1) \ 1) * (z * y). x * (y * (1 / (1 / x))) = ((x \ 1) \ 1) * (y * x). ((x \ 1) \ 1) * (y * x) = x * (y * (1 / (1 / x))). ((x \ 1) \ 1) * (y * x) = x * (y * ((x \ 1) \ 1)). x != y * (z * ((y \ 1) \ 1)) | x = ((y \ 1) \ z) * y. ((x \ 1) \ 1) * (y * x) = ((x \ 1) \ y) * x. (x \ 1) \ ((x * (x * y)) \ x) = (x * (y * (1 / x))) \ 1. (x \ (y \ 1)) * ((y * x) * (((y * x) \ 1) \ z)) = ((x \ (y \ 1)) \ 1) * z. ((((x \ 1) \ 1) * y) / ((1 / x) * z)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = ((y \ 1) * (1 / z)) / x. (x \ (y \ 1)) * ((y * x) * ((x \ (y \ 1)) \ z)) = ((x \ (y \ 1)) \ 1) * z. x != ((y \ 1) * (1 / z)) / u | x = ((z \ 1) \ y) \ (1 / u). 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = ((z \ 1) \ y) \ (1 / x). x * y != (z \ (u \ 1)) * ((u * z) * ((z \ (u \ 1)) \ w)) | x \ (((z \ (u \ 1)) \ 1) * w) = y. (x * y) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (x * y)) * ((y \ (x \ 1)) \ z). 1 / (x * ((y * (1 / (z * y))) \ y)) = ((z \ 1) \ y) \ (1 / x). 1 / (x * (y / (1 / z))) = ((y \ 1) \ z) \ (1 / x). (1 / x) * ((y * (1 / x)) \ (z * z)) = (y \ (((z * z) \ 1) \ (1 / x))) * x. (x \ (((y * y) \ 1) \ (1 / z))) * z = (1 / z) * ((x * (1 / z)) \ (y * y)). (x \ (((y * y) \ 1) \ (1 / z))) * z = (1 / z) * (((x * (1 / z)) \ y) * y). (x \ ((y \ (y \ 1)) \ (1 / z))) * z = (1 / z) * (((x * (1 / z)) \ y) * y). (x \ ((y * y) * (1 / z))) * z = (1 / z) * (((x * (1 / z)) \ y) * y). (1 / x) * (((y * (1 / x)) \ z) * z) = (y \ ((z * z) * (1 / x))) * x. (1 / x) * (((y * (1 / x)) \ z) * z) = (y \ (z * (z / x))) * x. T(x,y) * T(T(x,y) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). T(x * T(x \ (y / z),u),z) = T(x,z) * T(T(x,z) \ (z \ y),u). T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y). T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). T(x * T(x \ y,z),u) = T(x,u) * T(T(x,u) \ T(y,u),z). T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). T(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u). T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). (x * y) * L((x * y) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). T(x * L(x \ 1,y,z),u) = T(x,u) * L(T(x,u) \ 1,y,z). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). x != y * L(z \ 1,z,u) | x = y * ((u * z) \ u). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). 1 / (((((x / y) * (y * L(z,y,y))) \ u) * (1 / u)) * u) = u \ (y \ ((y * x) * z)). x * ((x * ((y * (x \ 1)) / y)) * z) = (x * ((y * (x \ 1)) / y)) * (x * z). (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). x != (y * ((z * (y \ 1)) / z)) * z | x = T(z,R(y \ 1,y,z)). x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). K(x,(y * x) \ y) * x = T(x,(y * x) \ y). x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. x != ((y \ 1) \ 1) / y | x = K(y,y \ 1). K(x,(y * x) \ y) = K(x,x \ 1). K(x \ y,y \ x) = K(x \ y,(x \ y) \ 1). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). K(x,y \ (y / x)) = K(x,x \ 1). K(x,y / (x * y)) = K(x,x \ 1). (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). K(x,x \ 1) = K((y / x) \ y,z \ (z / x)). K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). x != K(y,y \ 1) | x = y \ T(y,z / (y * z)). K(x,y / (x * y)) = x \ T(x,z / (x * z)). x != K(y,z / (y * z)) | x = K((z / (y * z)) \ 1,z / (y * z)). K(x,x \ 1) = K((y / (x * y)) \ 1,y / (x * y)). K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). K(x \ y,(x \ y) \ 1) = K(x \ y,T(x / y,T(y,x))). K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). K(x,y / (x * y)) != z | K(x,x \ 1) = z. K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. x != y | x = 1 * y. (x \ y) * (1 / (x \ y)) = 1 * K(x \ y,y \ x). x * y != K((z \ 1) \ u,u \ (z \ 1)) | x \ K(z * u,u \ (z \ 1)) = y. ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). (x * K(y,y \ 1)) / T(y,y \ 1) = x / y. x * K(y,y \ 1) = (x / y) * T(y,y \ 1). (x / y) * T(y,y \ 1) = x * K(y,y \ 1). x != (y * z) * K(z,z \ 1) | x = (y * K(z,z \ 1)) * z. x * T(y,y \ 1) = (x * K(y,y \ 1)) * y. (x * K(y,y \ 1)) * y = x * T(y,y \ 1). x * y != (z * u) * K(u,u \ 1) | x \ (z * T(u,u \ 1)) = y. (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. x * K(y,y \ 1) = (x / y) * ((y \ 1) \ 1). (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). x * ((y \ 1) \ 1) = (x * K(y,y \ 1)) * y. (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). (x / y) * y = R(x,K(y,y \ 1),y). R(x,K(y,y \ 1),y) = (x / y) * y. R(x,K(y,y \ 1),y) = x. R(x,K(y \ 1,y),1 / y) = x. x * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). (K(x,x \ 1) * y) * x = y * T(x,x \ 1). L(x,K(x,x \ 1),y) = x. L(1 / x,K(x \ 1,x),y) = 1 / x. x != (1 / y) * K(z,z \ 1) | x = K(z,z \ 1) / y. ((1 / x) / y) * ((y \ 1) \ 1) = K(y,y \ 1) / x. (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). x / (1 / y) = (x / (y \ 1)) * K(y \ 1,y). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). x * (y / z) != (u * (y / z)) * (z \ y) | x = u * (z \ y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). x != y * T(z,z \ 1) | x = K(z,z \ 1) * (y * z). (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). R(x,y \ 1,y) / y = x * (1 / y). R(x,1 / y,K(y \ 1,y)) = x. R(x,1 / (1 / y),K(y,y \ 1)) = x. R(x / (1 / y),y \ 1,y) = x * y. R(x,y \ 1,y) = R(x,1 / y,y). R(x,1 / y,y) = R(x,y \ 1,y). (x * (1 / y)) * y = R(x,y \ 1,y). x != R(T(y / (1 / z),u),1 / z,z) | x = T(y * z,u). R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). x * y = (x * (1 / (1 / y))) * K(y,y \ 1). (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. x * K(y,y \ 1) = (x / (1 / (1 / y))) * y. (x / (1 / (1 / y))) * y = x * K(y,y \ 1). x != ((y / z) / (u / (u / z))) * z | x = y / (u / (u / z)). (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. K(x,x \ 1) * y = T(x,x \ 1) * (x \ y). T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. x != T(y,y \ 1) * z | x = T(z * y,y \ 1). K(x,x \ 1) * (x * y) = T(y * x,x \ 1). x != T(y,y \ z) * u | x = ((y \ z) \ z) * u. K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. L(x,y,K(y,y \ 1)) = x. x != K(y,y \ 1) * (y * z) | x = y * (K(y,y \ 1) * z). T(x,x \ 1) * y = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). x != L(y,1 / z,K(1 / z,(1 / z) \ 1)) | x = L(y,K(z \ 1,z),1 / z). x = L(x,K(y \ 1,y),1 / y). L(x,K(y \ 1,y),1 / y) = x. L(x,1 / y,K(1 / y,y)) = x. L(x,1 / y,K(y \ 1,y)) = x. x * y != L(z,K(u \ 1,u),1 / u) | x \ z = y. (1 / x) \ y = (x \ 1) \ (K(x \ 1,x) * y). (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. L(x,K(y,y \ 1),1 / (1 / y)) = x. (x \ 1) * y = (1 / x) * (K(x \ 1,x) * y). (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. L(x,1 / (1 / y),K(y,y \ 1)) = x. x != L((1 / y) \ z,1 / y,K(y \ 1,y)) | x = K(y \ 1,y) * ((y \ 1) \ z). (1 / x) \ y = K(x \ 1,x) * ((x \ 1) \ y). K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. (x \ 1) * y = K(x \ 1,x) * ((1 / x) * y). K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. L(x \ y,x,x \ 1) = (1 / x) * y. x * y = (1 / (1 / x)) * (K(x,x \ 1) * y). (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. x != L((1 / (1 / y)) \ z,1 / (1 / y),K(y,y \ 1)) | x = y \ (K(y,y \ 1) * z). (1 / (1 / x)) \ y = x \ (K(x,x \ 1) * y). x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. L(x,y,y \ 1) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,x \ 1). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). L(x,y,y) = L(x,y,y \ 1). L(x,y,y \ 1) = L(x,y,y). L(x,y,1 / y) = L(x,y,y \ 1). (1 / x) \ L(y,x,x \ 1) = x * y. L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). L(x,y \ 1,y) = L(x,y \ 1,(y \ 1) \ 1). L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. x * y != (z * u) * K(z,z \ 1) | (T(z,z \ 1) * u) / y = x. (T(x,x \ 1) * y) / T(x,x \ 1) = (x * y) / x. ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. x \ y = K(x,x \ 1) * (T(x,x \ 1) \ y). K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. T(x * y,y \ 1) = y * (K(y,y \ 1) * x). x * (K(x,x \ 1) * y) = T(y * x,x \ 1). K(x,x \ 1) \ y = x * (((x \ 1) \ 1) \ y). x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. ((x \ 1) \ 1) * y = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. x * y != T(x,x \ 1) * T(x \ 1,z) | y = T(1 / x,z). K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. x != y * (K(z \ 1,z) * u) | x = y * (u * K(z \ 1,z)). (x \ 1) * y = (1 / x) * (y * K(x \ 1,x)). (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). (1 / (1 / x)) \ y = K(x,x \ 1) * (x \ y). K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. K(x,x \ 1) * (1 / y) = x * ((1 / x) / y). K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). K(x \ 1,x) * ((1 / x) * y) != z | z = (x \ 1) * y. K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. K(x,x \ 1) * y = (1 / (y * x)) \ (x \ 1). (1 / (x * y)) \ (y \ 1) = K(y,y \ 1) * x. x * y != ((x \ 1) \ 1) * (z * (x \ 1)) | y = z * (1 / x). K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. x * (((x \ 1) \ 1) * y) = ((x \ 1) \ 1) * (x * y). ((x \ 1) \ 1) * (x * y) = x * (((x \ 1) \ 1) * y). (1 / ((x / y) \ y)) \ ((y \ (1 / (y / x))) * z) = K(((x / y) \ y) \ 1,(x / y) \ y) * z. x != y | x = T(y,K(z \ 1,z)). (1 / x) * (y * K(x \ 1,x)) = T((x \ 1) * y,K(z \ 1,z)). T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). x != (1 / y) \ K(z,y) | x = y * K(z,y). ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). K(x,x \ 1) * (x \ y) = ((x \ 1) \ 1) \ y. ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). x * (1 / ((y \ 1) * x)) = K(x,x \ 1) * y. x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) * y. x != K(y,y \ 1) * (1 / z) | x = K(y,y \ 1) / z. x * ((1 / x) / y) = K(x,x \ 1) / y. K(x,x \ 1) / y = x * ((1 / x) / y). K(x,x \ 1) / y = x * (1 / (y * x)). x * (K(y,y \ 1) / z) = x * (y * (1 / (z * y))). x != K(y,y \ 1) / z | x = (1 / z) * K(y,y \ 1). x * (1 / (y * x)) = (1 / y) * K(x,x \ 1). (1 / x) * K(y,y \ 1) = y * (1 / (x * y)). K(x * y,y \ (x \ 1)) / z = (x * y) * (1 / (z * (x * y))). K(x \ y,y \ x) / z = (x \ y) * (1 / (z * (x \ y))). (x \ y) * (1 / (z * (x \ y))) = K(x \ y,y \ x) / z. (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. x * y != (z / u) \ z | x \ u = y. K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. (x \ y) * x = (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. (1 / T(x,K(y,y \ 1) * z)) \ (y * (1 / (z * y))) = (y * (1 / (z * y))) * x. (x * (1 / (y * x))) * ((K(x,x \ 1) * y) * z) = L(z,x * (1 / (y * x)),x * (1 / (y * x))). (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). K(x,x \ 1) * (y \ 1) = (y \ x) * (1 / x). x != ((y \ 1) \ 1) * z | x = (y * z) * K(y,y \ 1). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). K(x,x \ 1) * y = ((x \ 1) \ 1) \ (x * y). ((x \ 1) \ 1) \ (x * y) = K(x,x \ 1) * y. x * (1 / (((y / (1 / z)) * y) * x)) = K(x,x \ 1) * ((z * y) \ (y \ 1)). K(x,x \ 1) * ((y * z) \ (z \ 1)) = x * (1 / (((z / (1 / y)) * z) * x)). (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) = (y * z) * ((1 / (y * z)) * (K(x,x \ 1) \ 1)). (x * y) * ((1 / (x * y)) * (K(z,z \ 1) \ 1)) = (z * (1 / ((x * y) * z))) \ (y \ (x \ 1)). x * K(y,y \ 1) = (x / (y \ 1)) * (1 / y). (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). x \ K(y,y \ 1) = (x \ y) * (1 / y). K(x,x \ 1) * y = ((1 / y) \ x) * (1 / x). ((1 / x) \ y) * (1 / y) = K(y,y \ 1) * x. K(x,x \ 1) * (y \ (z \ 1)) = ((z * y) \ x) * (1 / x). K(x,x \ 1) * (y * (z \ 1)) = ((z / y) \ x) * (1 / x). K(x,x \ 1) * (y \ z) = (((1 / z) * y) \ x) * (1 / x). (((1 / x) * y) \ z) * (1 / z) = K(z,z \ 1) * (y \ x). T(x * ((y \ z) * (1 / z)),x) = (y / K(z,z \ 1)) \ x. (x \ y) * (1 / y) != z | x \ K(y,y \ 1) = z. x \ K(y * z,z \ (y \ 1)) = (x \ (y * z)) * (1 / (y * z)). x \ (K(y * x,(y * x) \ 1) * x) = (((y * x) \ 1) * y) * x. (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (1 / (x * y)) * ((x \ 1) \ 1) = K(x,x \ 1) / y. x * y != K(x,x \ 1) * (z * x) | T(K(x,x \ 1) * z,x) = y. T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). x != T(y,z \ 1) | x = T(y,1 / z). x \ ((y \ 1) \ x) = T(x \ ((1 / y) \ x),1 / y). T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. L(x,T(y,z) / y,K(y \ 1,y)) = ((y \ 1) * T(y,z)) \ (K(y \ 1,y) * ((T(y,z) / y) * x)). ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). (1 / x) * (y / (1 / x)) = T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)). T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). x != (((y \ 1) \ 1) \ z) * ((y \ 1) \ 1) | x = (1 / y) * (z * ((y \ 1) \ 1)). (x \ y) * x = (1 / x) * (y * ((x \ 1) \ 1)). (1 / x) * (y * ((x \ 1) \ 1)) = (x \ y) * x. (1 / x) \ ((x \ y) * x) != z | z = y * ((x \ 1) \ 1). (1 / x) \ ((x \ y) * x) != z | y * ((x \ 1) \ 1) = z. (1 / ((x * (y \ 1)) \ z)) * (1 * ((((x * (y \ 1)) \ z) \ 1) \ 1)) = ((z \ 1) * (1 / (y / x))) * ((x * (y \ 1)) \ z). R(x,y,K(x,x \ 1)) = x. R(T(x,y),z,K(x,x \ 1)) = T(x,y). x != R(T(y,z * K(y,y \ 1)),z,K(y,y \ 1)) | x = T(y,z). T(x,y * K(x,x \ 1)) = T(x,y). T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). T(x,K(x,x \ 1) * y) = T(x,y). (x \ ((y \ (x \ 1)) \ 1)) \ 1 = K(x,x \ 1) / y. x != y * T(y \ ((1 / z) \ y),z \ 1) | x = K(z,z \ 1) * ((1 / z) \ y). (x \ 1) \ y = K(x,x \ 1) * ((1 / x) \ y). K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. K(x,x \ 1) * y != (x \ 1) \ (K(x,x \ 1) * z) | y = (x \ 1) \ z. (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. x * y != z \ (z * (x * u)) | y = u. (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. x * y != K(z,z \ 1) * ((1 / z) \ u) | x \ ((z \ 1) \ u) = y. ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). K(x,x \ 1) * y = (x \ 1) \ ((1 / x) * y). (x \ 1) \ ((1 / x) * y) = K(x,x \ 1) * y. (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. x != (1 / y) \ ((y \ 1) * z) | x = K(y \ 1,y) * z. x = K(y \ 1,y) * (K(y,y \ 1) * x). K(x \ 1,x) * (K(x,x \ 1) * y) = y. x * y != (1 / z) \ ((z \ 1) * (K(z,z \ 1) * u)) | x \ u = y. K(x \ 1,x) \ y = K(x,x \ 1) * y. K(x \ 1,x) * y != (1 / x) \ ((x \ 1) * z) | y = z. x = K(y,y \ 1) * (K(y \ 1,y) * x). K(x,x \ 1) * (K(x \ 1,x) * y) = y. K(x,x \ 1) * (y * K(x \ 1,x)) = y. (K(x,x \ 1) * y) * K(x \ 1,x) = y. K(x \ 1,x) * y != (x \ 1) * z | y = (1 / x) * z. K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. x != K(y \ 1,y) * z | K(y,y \ 1) * x = z. K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. K(x \ 1,x) * (y * K(x,x \ 1)) = y. x != y * K(z \ 1,z) | y = K(z,z \ 1) * x. y * K(z \ 1,z) != x | y = K(z,z \ 1) * x. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. (x * K(y \ 1,y)) \ x = K(y,y \ 1). x != K(y,y \ 1) * (y * z) | x = ((y \ 1) \ 1) * z. K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. K(x,x \ 1) * (K(x \ 1,x) * y) != z | z = y. T(x,K(x \ 1,x) \ y) = T(x,y). T(x,y) = T(x,K(x \ 1,x) * y). T(x,K(x \ 1,x) * y) = T(x,y). T(x,(x \ 1) * y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,(x \ 1) * y). (K(x \ 1,x) * y) * K(x,x \ 1) = y. x * y = (K(y \ 1,y) * x) * ((y \ 1) \ 1). (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. x * y = T(x,x \ 1) * (K(x \ 1,x) * y). T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. (1 / (1 / x)) * y = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. x * y = ((x \ 1) \ 1) * (K(x \ 1,x) * y). ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. (x * K(y \ 1,y)) * K(y,y \ 1) = x. (x * K(y,y \ 1)) * K(y \ 1,y) = x. K(x,x \ 1) * y != x \ z | y = ((x \ 1) \ 1) \ z. (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. K(x,x \ 1) * y != x * z | y = (1 / (1 / x)) * z. (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. K(x,x \ 1) * y != z * T(x,x \ 1) | y = z * x. (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. x * y != K(z,z \ 1) * (u * K(z \ 1,z)) | u / y = x. x / K(y,y \ 1) = x * K(y \ 1,y). x != K(y,y \ 1) * z | x * K(y \ 1,y) = z. K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. K(x,x \ 1) \ y != z | z = y * K(x \ 1,x). K(x,x \ 1) \ y != z | y * K(x \ 1,x) = z. K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). x * (1 / y) = (K(y,y \ 1) * x) * (y \ 1). (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. K(x \ 1,x) * y != T(x,z) \ 1 | y = 1 / T(x,z). (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). x * y != K(z \ 1,z) * (u * K(z,z \ 1)) | u / y = x. x / K(y \ 1,y) = x * K(y,y \ 1). K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. x * K(y,y \ 1) != z * ((y \ 1) \ 1) | x = z * y. (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) != u | x / (z * K(y \ 1,y)) = u. x != K(y,y \ 1) * z | x = z * K(y,y \ 1). (1 / x) * ((x \ 1) \ y) = y * K(x,x \ 1). (1 / x) * L(y,x,x) = K(x,x \ 1) * (x \ y). K(x,x \ 1) * (x \ y) = (1 / x) * L(y,x,x). x \ L(y,1 / x,x) = (x \ 1) * y. x * ((1 / x) * y) = T(x,x \ 1) * ((x \ 1) * y). T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). x * ((1 / x) * y) = ((x \ 1) \ 1) * ((x \ 1) * y). ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). L(x,1 / y,y) = L(x,y \ 1,y). x != L(y,z \ 1,z) | x = L(y,z,z). L(x,1 / y,y) = L(x,y,y). L(x,y,y \ 1) = L(x,(y \ 1) \ 1,y \ 1). L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). x != K(y \ 1,y) * (y \ z) | x = z * T(z \ (y \ z),y). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),x). x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. x * y != ((z \ 1) \ 1) * (K(z \ 1,z) * u) | x \ (z * u) = y. ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). x != ((y \ 1) \ 1) \ z | x = z * (((z \ (y \ z)) \ 1) \ 1). (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). x * y != (z * ((u * z) \ u)) * K(z \ 1,z) | (((u * z) \ u) * z) / y = x. (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). x * K(y \ 1,y) = (x / ((y \ 1) \ 1)) * y. (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). T(x,y) * (((T(x,y) \ 1) \ 1) \ z) = K(x,x \ 1) * z. (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). x * K(y \ 1,y) != (z * (y \ 1)) * y | x = R(z,y \ 1,y). (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). x * y != (1 / z) * ((z \ 1) \ ((u * u) \ (1 / w))) | x \ (z * (1 / ((w * (u * u)) * z))) = y. ((x * x) \ (1 / y)) \ (z * (1 / ((y * (x * x)) * z))) = K(z,z \ 1). (x \ 1) * y = L(((x \ 1) \ 1) \ y,x,x \ 1). L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. x * y != ((z \ 1) \ 1) \ x | y = ((x \ (z \ x)) \ 1) \ 1. T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. x * y != z * K(y \ 1,y) | x = z * (((z \ (z / y)) \ 1) \ 1). x / ((y \ 1) \ 1) = x * (((x \ (x / y)) \ 1) \ 1). x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). x * y != z * K(y \ 1,y) | x = (z / y) * K(y \ 1,y). x / ((y \ 1) \ 1) = (x / y) * K(y \ 1,y). (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). (x \ T(x * y,z)) * x = T(y * ((x \ 1) \ 1),z) * K(x \ 1,x). T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. x * y != (z / u) * K(u \ 1,u) | x \ (z / ((u \ 1) \ 1)) = y. x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y). T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. x != T(y \ (y / z),z) | x = ((y \ (y / z)) \ 1) \ 1. x \ (x / ((y \ 1) \ 1)) = ((x \ (x / y)) \ 1) \ 1. ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). x * K(y \ 1,y) = y * (((y \ 1) \ 1) \ x). x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). x * y != ((x \ 1) \ K(z,x)) * K(x \ 1,x) | y = K(z,x). ((x \ 1) \ 1) \ ((x \ 1) \ K(y,x)) = K(y,x). x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. x * ((((x \ 1) \ 1) \ 1) * y) = L(y,((x \ 1) \ 1) \ 1,(x \ 1) \ 1) * K(x \ 1,x). L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). x != ((y \ 1) \ 1) * z | x = y * (z * K(y,y \ 1)). (x \ 1) \ K(y,x) = x * (K(y,x) * K(x,x \ 1)). x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. x != K(y,y \ 1) * (y \ z) | x = ((y \ 1) \ 1) \ z. (1 / x) * L(y,x,x) = ((x \ 1) \ 1) \ y. (1 / x) * ((1 / x) * y) = ((x \ 1) \ 1) \ (x \ y). ((x \ 1) \ 1) \ (x \ y) = (1 / x) * ((1 / x) * y). (1 / x) * (1 / (y / x)) = ((x \ 1) \ 1) \ (x / y). ((x \ 1) \ 1) \ (x / y) = (1 / x) * (1 / (y / x)). (x \ 1) * ((y \ 1) \ 1) = R(x \ y,y \ 1,y). R(x \ y,y \ 1,y) = (x \ 1) * ((y \ 1) \ 1). (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). K(x \ 1,x) * (x \ y) != z | z = ((x \ 1) \ 1) \ y. K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. x != (K(y,z) \ 1) * ((z \ u) \ u) | x = K(y,z) \ ((z \ u) \ u). R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). x != (((y * z) \ y) * z) / ((y * z) \ y) | x = L(z,(y * z) \ y,z). 1 / (1 / x) = L(x,(y * x) \ y,x). L(x,(y * x) \ y,x) = 1 / (1 / x). L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). ((x \ (1 / (1 / y))) * x) * (1 / y) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). x * (((x \ y) \ 1) \ 1) = x / (((y \ x) \ 1) \ 1). x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). 1 / (x \ (y \ x)) = (x \ ((1 / (1 / y)) \ x)) \ 1. (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. ((x \ (x / (1 / y))) \ 1) \ 1 = x \ (x / (y \ 1)). x * y != (x \ 1) \ K(z,x) | y = x * (K(z,x) / x). K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). x != ((y \ 1) \ 1) \ (y \ z) | x = (y \ 1) * ((y \ 1) * z). (1 / x) * ((1 / x) * y) = (x \ 1) * ((x \ 1) * y). x != (1 / y) * (1 / (z / y)) | x = y * ((1 / y) * (1 / z)). ((x \ 1) \ 1) \ (x / y) = x * ((1 / x) * (1 / y)). (1 / x) \ ((y \ x) \ 1) = x * (((x \ y) \ 1) \ 1). (x * (((x \ y) \ 1) \ 1)) \ 1 != z | (((y \ x) \ 1) \ 1) * (x \ 1) = z. 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). 1 / (x \ (x / y)) = (x \ (x / (1 / (1 / y)))) \ 1. (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). 1 / (x * (y * (((y \ z) \ 1) \ 1))) = ((z \ y) * (1 / y)) / x. x / (y * (((y \ z) \ 1) \ 1)) = (1 / x) \ ((z \ y) * (1 / y)). (1 / ((1 / x) * y)) \ (((1 / z) \ ((1 / x) * y)) \ 1) = ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1). x * (x * (((x \ y) \ 1) \ 1)) = (x * x) * ((y \ x) \ 1). x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). x * y != z * (1 / (1 / (z \ (u \ z)))) | ((1 / (1 / u)) \ z) / y = x. ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). ((1 / x) \ y) / y = 1 / (1 / (((x \ 1) \ y) / y)). 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. x != y / (1 / (1 / z)) | x = (y / z) * K(z,z \ 1). x * (1 / (1 / (x \ (x / y)))) = (x / y) * K(y,y \ 1). (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). x * (1 / (1 / (x \ y))) = x / (1 / (1 / (y \ x))). x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. x * ((y \ 1) \ 1) = y * ((y \ x) / (1 / y)). x * ((x \ y) / (1 / x)) = y * ((x \ 1) \ 1). x * (y / (1 / x)) = (x * y) * ((x \ 1) \ 1). (x * y) * ((x \ 1) \ 1) = x * (y / (1 / x)). x * (((x \ 1) * y) * x) = y * ((x \ 1) \ 1). 1 / (x * (y / (1 / x))) = (x \ 1) / (x * y). (x * ((1 / x) * y)) * ((x \ 1) \ 1) = x * ((1 / x) * (y * x)). x * (y * x) = ((x \ 1) \ y) * ((x \ 1) \ 1). ((x \ 1) \ y) * ((x \ 1) \ 1) = x * (y * x). 1 / (x * (y / (1 / x))) = x \ (1 / (x * y)). (x \ ((1 / y) * (x \ 1))) \ 1 = x * (y * x). x * (y * x) = (x \ 1) \ (y / (x \ 1)). (x \ 1) \ (y / (x \ 1)) = x * (y * x). (x \ 1) \ (y \ x) = x * ((y \ 1) * x). x != (y \ 1) \ ((y * (y * z)) \ y) | x = (y * (z * (1 / y))) \ 1. x * (((x * (x * y)) \ 1) * x) = (x * (y * (1 / x))) \ 1. (x \ 1) \ (y \ x) != x * z | (y \ 1) * x = z. (x * (y \ 1)) \ (z \ (y / x)) = (y / x) * ((z \ 1) * (y / x)). x != 1 / (y * (z / (1 / u))) | x = ((z \ 1) \ u) \ (1 / y). x \ (1 / (x * y)) = ((y \ 1) \ x) \ (1 / x). ((x \ 1) \ y) \ (1 / y) = y \ (1 / (y * x)). x * y != 1 / (z * (u / (1 / z))) | (z \ (1 / (z * u))) / y = x. (x \ (1 / (x * y))) / z = 1 / (z * (x * (y / (1 / x)))). 1 / (x * (y * (z / (1 / y)))) = (y \ (1 / (y * z))) / x. (x \ (y * (x \ 1))) \ 1 = x * ((y \ 1) * x). ((x \ 1) * ((1 / y) / x)) \ 1 = x * (y * x). ((x \ 1) \ (y \ z)) \ ((1 / z) * y) = (y \ z) \ (1 / ((y \ z) * x)). ((x \ 1) \ ((y \ x) \ 1)) \ (1 / ((y \ x) \ 1)) = ((y \ x) \ 1) \ (1 / (((x \ y) \ 1) \ x)). x != y * (z * y) | x = ((1 / y) \ z) * y. (x \ (y * (x \ 1))) \ 1 = ((1 / x) \ (y \ 1)) * x. (x \ (y \ 1)) \ 1 = x * (((y \ x) \ 1) * x). x * (((y \ x) \ 1) * x) = (x \ (y \ 1)) \ 1. 1 / (x * (y * x)) = (x \ 1) * ((1 / y) / x). (x \ 1) * ((1 / y) / x) = 1 / (x * (y * x)). (x \ (y * (x \ 1))) \ 1 = (x / ((y \ 1) \ 1)) * x. (x \ (x \ y)) \ 1 = (x / ((T(y,x) \ 1) \ 1)) * x. (x / ((T(y,x) \ 1) \ 1)) * x = (x \ (x \ y)) \ 1. (x / T((y \ 1) \ 1,x)) * x = (x \ (x \ y)) \ 1. ((x \ 1) * y) * y = (y \ (y \ x)) \ 1. (x \ (x \ y)) \ 1 = ((y \ 1) * x) * x. (x \ (x \ ((y \ 1) \ 1))) \ 1 = ((1 / y) * x) * x. ((1 / x) * ((y \ x) \ 1)) \ 1 = ((1 / y) * x) * x. ((x \ y) \ 1) \ y = ((1 / x) * y) * y. ((x * y) \ 1) \ x = ((1 / (1 / T(y,x \ 1))) * x) * x. ((1 / (1 / T(x,y \ 1))) * y) * y = ((y * x) \ 1) \ y. (((1 / x) * (1 / y)) * (1 / y)) \ 1 = y * ((((x \ (1 / y)) \ 1) \ 1) \ 1). x != K(y \ z,(y \ z) \ 1) | x = K(y \ z,z \ y). K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). x != ((y * z) \ y) * (1 / y) | x = z \ (1 / y). K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). x != ((y * (z \ 1)) \ u) * (1 / u) | x = u * (((u \ (z / y)) \ 1) \ 1). K(x,x \ 1) * ((y \ 1) \ z) = x * (((x \ (y / (1 / z))) \ 1) \ 1). x * (((x \ (y / (1 / z))) \ 1) \ 1) = K(x,x \ 1) * ((y \ 1) \ z). T(x * ((y \ z) * (1 / z)),x) = (y * K(z \ 1,z)) \ x. T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. x * y != z * (((z \ x) \ 1) \ 1) | y = K((x \ z) \ 1,x \ z). K(x \ 1,x) = K(((x \ y) \ y) \ 1,(x \ y) \ y). K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). T(x,y) * (T((x \ 1) \ 1,y) \ z) = K(x,x \ 1) * z. (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). x * y != (z * z) * ((u \ z) \ 1) | x \ ((u \ (z \ 1)) \ 1) = y. x \ ((y \ (x \ 1)) \ 1) = x * (((x \ y) \ 1) \ 1). (x * (((x \ y) \ 1) \ 1)) \ 1 = K(x,x \ 1) / y. (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))). (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). x * (((x * y) \ (x \ 1)) * x) = (x * (y * (1 / x))) \ 1. ((1 / (1 / T(x,y \ 1))) * y) * y = (x \ (y \ 1)) \ y. T(x,y) \ z = K(x \ 1,x) * (T(1 / (1 / x),y) \ z). K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. x != T(y / z,y) * u | x = ((1 / z) * y) * u. K(x / y,(x / y) \ 1) * z = ((1 / y) * x) * (T(((x / y) \ 1) \ 1,x) \ z). ((1 / x) * y) * (T(((y / x) \ 1) \ 1,y) \ z) = K(y / x,(y / x) \ 1) * z. ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). x * (((x * y) \ x) * (1 / x)) = (x * (y * (1 / x))) \ 1. (((T(x,y \ 1) \ 1) \ 1) * y) * y = (x \ (y \ 1)) \ y. ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). x * (y \ (1 / x)) = (x * (y * (1 / x))) \ 1. (x * (y * (1 / x))) \ 1 = x * (y \ (1 / x)). 1 / (x * (y \ (1 / x))) = x * (y * (1 / x)). x != 1 / (y * (z \ (1 / y))) | x = ((y \ 1) \ (z / (y \ 1))) * (y \ (1 / y)). x * (y * (1 / x)) = ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)). ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = x * (y * (1 / x)). (T((x \ 1) \ 1,y \ 1) * y) * y = (x \ (y \ 1)) \ y. ((1 / x) \ ((y \ 1) \ 1)) * x = (y \ (x \ 1)) \ x. (x / (1 / y)) * x = (y \ (x \ 1)) \ x. (x \ (y \ 1)) \ y = (y / (1 / x)) * y. x != L((y * z) \ y,z,(u * z) \ u) | x = L(1 / z,z,y). 1 / (1 / ((x * y) \ x)) = L(1 / y,y,x). L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). L(1 / x,x,y) = 1 / (1 / L(x \ 1,x,y)). 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1 = L(T(x,x \ 1) \ 1,T(x,x \ 1),y). L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). x / L(y,y \ 1,x) = x * (1 / y). (x * (1 / y)) \ x = L(y,y \ 1,x). L(x,x \ 1,y) = (y * (1 / x)) \ y. x != (y * (1 / z)) \ y | x = L(z,1 / z,y). L(x,x \ 1,y) = L(x,1 / x,y). L(x,1 / x,y) = L(x,x \ 1,y). L(x \ 1,x,y) = L(x \ 1,(x \ 1) \ 1,y). L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). x \ K((1 / y) * z,z \ ((1 / y) \ 1)) = (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1). x \ (K(y * x,x \ (y \ 1)) * x) = (((y * x) \ 1) * y) * x. ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. x != y * (((y \ z) \ 1) \ 1) | x = z * K(y \ z,z \ y). (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). 1 / (x * (y * (1 / (z * y)))) = (((z \ 1) \ y) * (1 / y)) / x. (((x \ 1) \ y) * (1 / y)) / z = 1 / (z * (y * (1 / (x * y)))). x / (y * (1 / (z * y))) = (1 / x) \ (((z \ 1) \ y) * (1 / y)). (1 / x) \ (((y \ 1) \ z) * (1 / z)) = x / (z * (1 / (y * z))). (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = x * ((1 / x) * ((1 / y) * x)). x * K(y,y \ 1) != T(y,y \ 1) * z | x = y * z. T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). x * (1 / T(x,y)) = T(x,y) \ ((x \ 1) \ 1). T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). (x * (y * (1 / x))) * x = ((x \ 1) \ 1) * y. x != (y * (z * (1 / y))) * y | x = (y * y) * ((y \ 1) * z). ((x \ 1) \ 1) * y = (x * x) * ((x \ 1) * y). (x * x) * ((x \ 1) * y) = ((x \ 1) \ 1) * y. x * y != (z * z) * ((z \ 1) * u) | (((z \ 1) \ 1) * u) / y = x. ((((1 / x) \ 1) \ 1) * y) / (((1 / x) \ 1) * y) = T((1 / x) / x,1 / x). T((1 / x) / x,1 / x) = ((((1 / x) \ 1) \ 1) * y) / (((1 / x) \ 1) * y). T(K(x * y,y \ (x \ 1)),y) = (((x * y) \ 1) * x) * y. T(K(x * y,y \ (x \ 1)),y) = ((y \ (x \ 1)) * x) * y. T(K(x * y,y \ (x \ 1)),y) = ((y \ x) * (1 / x)) * y. (x * (((x \ y) \ 1) \ 1)) / z = 1 / (z * (x * (1 / (y * x)))). ((1 / x) * y) \ (((z \ 1) \ u) * (1 / u)) = (y \ x) / (u * (1 / (z * u))). (((x \ y) \ 1) / x) \ (1 / z) = 1 / (z * (x * (1 / (y * x)))). 1 / (x * (y * (1 / (z * y)))) = (((y \ z) \ 1) / y) \ (1 / x). 1 / (x * (y * (1 / (z * y)))) = ((y \ z) \ (1 / y)) \ (1 / x). 1 / (x * (y * (1 / (z * y)))) = ((z \ y) * (1 / y)) \ (1 / x). x != 1 / (y * (z * (1 / (u * z)))) | x = (((1 / (u * (1 / z))) \ z) \ 1) \ (1 / y). ((x \ y) * (1 / y)) \ (1 / z) = (((1 / (x * (1 / y))) \ y) \ 1) \ (1 / z). (((1 / (x * (1 / y))) \ y) \ 1) \ (1 / z) = ((x \ y) * (1 / y)) \ (1 / z). x != T(y,y \ 1) * ((y \ 1) * z) | x = y * ((1 / y) * z). K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. K(x \ 1,x) \ (x * y) = R(x \ 1,x,y) \ y. R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). x != K(y \ 1,y) \ (y * z) | x = ((y \ 1) \ 1) * z. R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. x / (((y \ 1) \ 1) * x) = R(y \ 1,y,x). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. x != y / ((z \ 1) * y) | x = R(z,z \ 1,y). R(x \ 1,x,y) = R(x \ 1,(x \ 1) \ 1,y). R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,(x \ 1) \ 1,y)). T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. R(x,1 / x,y) \ y = (x \ 1) * y. x / ((y \ 1) * x) = R(y,1 / y,x). R(x,1 / x,y) = y / ((x \ 1) * y). R(x,1 / x,y) = R(x,x \ 1,y). L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). x != L(R(y,z,u),y \ 1,y) | x = R(1 / (1 / y),z,u). R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). ((1 / x) \ y) / y = R(1 / (1 / x),x \ 1,(1 / x) \ y). R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. x * (((x \ (y / (1 / z))) \ 1) \ 1) != u | ((y \ 1) \ z) * K(x,x \ 1) = u. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. (((x \ y) \ 1) \ 1) * (y \ 1) = K(y,y \ 1) / x. x != K(y,y \ 1) / z | x = y * (1 / (z * y)). (((x \ y) \ 1) \ 1) * (y \ 1) = y * (1 / (x * y)). (x \ 1) * (y * (1 / (z * y))) = (((z \ y) * (1 / y)) \ x) \ 1. (((x \ y) * (1 / y)) \ z) \ 1 = (z \ 1) * (y * (1 / (x * y))). x != K(y,y \ 1) * (z \ (u \ 1)) | x = ((u * z) \ y) * (1 / y). x * (1 / (((y / (1 / z)) * y) * x)) = ((y * (z * y)) \ x) * (1 / x). x != (((1 / y) * z) * u) \ 1 | x = u \ (z \ y). x * ((((y \ (1 / x)) \ 1) \ 1) \ 1) = (1 / x) \ ((1 / x) \ y). x * (((x * ((y \ 1) \ 1)) \ 1) \ 1) = (1 / x) \ ((1 / x) \ y). x * ((((y \ 1) \ 1) \ (x \ 1)) \ 1) = (1 / x) \ ((1 / x) \ y). x * (((x \ 1) \ 1) * (1 / (y \ 1))) = (1 / x) \ ((1 / x) \ y). x * (((x \ 1) \ 1) * y) = (1 / x) \ ((1 / x) \ y). (1 / x) \ ((1 / x) \ y) = x * (((x \ 1) \ 1) * y). x * ((x \ (1 / y)) * L(1 / y,x,x)) = x / (y * (((y \ 1) \ 1) * x)). (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = x * ((1 / x) * (1 / (x \ y))). T((1 / x) / x,1 / x) = ((x \ 1) * y) / (((1 / x) \ 1) * y). T((1 / x) / x,1 / x) = ((x \ 1) * y) / (x * y). T(x \ (x \ 1),1 / x) = ((x \ 1) * y) / (x * y). x != T(y,1 / z) | x = T(y,z \ 1). ((x \ 1) * y) / (x * y) = T(x \ (x \ 1),x \ 1). T(x \ (x \ 1),x \ 1) = ((x \ 1) * y) / (x * y). x \ T(x \ 1,x) = ((x \ 1) * y) / (x * y). x \ (1 / x) = ((x \ 1) * y) / (x * y). ((x \ 1) * y) / (x * y) = x \ (1 / x). x != (((y \ z) \ 1) * z) / ((y \ z) * z) | x = (z \ y) * (z \ y). (x \ y) \ (1 / (x \ y)) = (y \ x) * (y \ x). ((x \ y) * (x \ y)) * z = ((y \ x) \ 1) * ((y \ x) \ z). ((x \ y) \ 1) * ((x \ y) \ z) = ((y \ x) * (y \ x)) * z. T(x / y,x) * ((1 / y) * x) = (y \ x) * (y \ x). (L(x,y,z) \ 1) * (((z * y) \ (z * (y * x))) \ u) = (((z * (y * x)) \ (z * y)) * ((z * (y * x)) \ (z * y))) * u. (((x * (y * z)) \ (x * y)) * ((x * (y * z)) \ (x * y))) * u = (L(z,y,x) \ 1) * (((x * y) \ (x * (y * z))) \ u). ((x \ y) * (x \ y)) * z = (((y / x) * y) \ x) \ z. (((x / y) * x) \ y) \ z = ((y \ x) * (y \ x)) * z. x \ ((y / x) * y) = (x \ y) * (x \ y). x * ((x \ y) * (x \ y)) = (y / x) * y. ((x / y) * x) \ y = (y \ x) \ ((y \ x) \ 1). (x \ y) \ ((x \ y) \ 1) = ((y / x) * y) \ x. x * (((y / z) * y) \ z) = x / ((z \ y) * (z \ y)). x / ((y \ z) * (y \ z)) = x * (((z / y) * z) \ y). x != y / ((y \ z) * (y \ z)) | x = (z / y) \ ((z / y) \ y). x * (((y / x) * y) \ x) = (y / x) \ ((y / x) \ x). (x / y) \ ((x / y) \ y) = y * (((x / y) * x) \ y). ((1 / x) * y) \ (z * (((z \ u) \ 1) \ 1)) = (y \ x) / (z * (1 / (u * z))). x != y * ((1 / y) * (1 / z)) | x = (1 / y) * (1 / (z / y)). (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = (1 / x) * (1 / ((x \ y) / x)). (x / y) * ((x \ 1) \ 1) = 1 / ((x \ y) / x). (x \ 1) \ (((y / z) / u) \ x) = ((x \ 1) \ u) * ((x \ (y / z)) \ 1). ((x \ 1) \ y) * ((x \ (z / u)) \ 1) = (x \ 1) \ (((z / u) / y) \ x). x != ((y \ 1) \ 1) * ((y \ (z / u)) \ 1) | x = ((y \ 1) \ u) * ((y \ z) \ 1). (x \ 1) \ (((y / z) / 1) \ x) = ((x \ 1) \ z) * ((x \ y) \ 1). (x \ 1) \ ((y / z) \ x) = ((x \ 1) \ z) * ((x \ y) \ 1). ((x \ 1) \ y) * ((x \ z) \ 1) = (x \ 1) \ ((z / y) \ x). x != (y \ 1) \ (z \ y) | x = y * ((z \ 1) * y). ((x \ 1) \ y) * ((x \ z) \ 1) = x * (((z / y) \ 1) * x). ((x \ 1) \ y) * ((x \ z) \ 1) = x * ((y * (z \ 1)) * x). (((x \ (y \ z)) \ 1) \ 1) \ ((y \ z) \ 1) = ((1 / z) * y) * (x * ((1 / z) * y)). x != y * z | x = R(y,z,z \ 1) / (z \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = R((y \ (1 / (1 / x))) * y,1 / x,(1 / x) \ 1) / ((1 / x) \ 1). R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). x != T(K(y,z),((u * y) \ u) \ 1) | x = (((u * y) \ u) \ 1) \ (((u * y) \ u) \ K(y,z)). K((x \ 1) \ 1,y) = (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). x != T(K(y,z),((z * y) \ z) \ 1) | x = T(K(y,z),y). K((x \ 1) \ 1,y) = T(K(x,y),x). T(K(x,y),x) = K((x \ 1) \ 1,y). x != T(K(y,z),y) | x = K(y,z). K((x \ 1) \ 1,y) = K(x,y). K(x \ 1,y) = K(1 / x,y). K(1 / x,y) = K(x \ 1,y). K((x \ (y \ 1)) \ 1,z) = K(y * x,z). x != K(y \ 1,z) | x = L(y * T(y \ 1,z),y \ 1,z). K(1 / x,y) = L(x * T(x \ 1,y),x \ 1,y). L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). x != L(y,z,u / z) | x = u \ ((u / z) * (z * y)). K(1 / x,y / (x \ 1)) = y \ ((y / (x \ 1)) * ((x \ 1) * (x * T(x \ 1,y / (x \ 1))))). x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). K(1 / x,y) != z | K(x \ 1,y) = z. K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). x != K((y \ 1) \ 1,z) | x = K(y,z). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. x != (((y \ z) \ 1) \ 1) \ (z \ 1) | x = z \ (y / z). ((1 / x) * y) * (z * ((1 / x) * y)) = (y \ x) \ (z / (y \ x)). (x * (y * z)) \ ((z / (x * (y * z))) \ L(z,y,x)) = a(x,y,z) \ 1. (((x * (y / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. (x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y. (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. (x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x). (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. T(x,x / (x * y)) = (x * ((x / y) / x)) * y. (x * ((x / y) / x)) * y = T(x,x / (x * y)). x != (y * z) * ((u * ((y * z) \ w)) / u) | x = y * (z * ((u * (z \ (y \ w))) / u)). (x * ((y / z) / x)) * z = x * (z * ((x * (z \ (x \ y))) / x)). x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. x * ((y * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. x * ((y * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). x != (1 / (1 / (y / z))) * z | x = z * (1 / (1 / (z \ y))). (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). (T(x,y) * (1 / (z * (x \ y)))) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). x != (y * z) * T(L(u,z,y),w) | x = y * (z * T(u,w)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). (x * (T(y,x) / y)) \ (x * z) = x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z). x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. x * ((x * y) * (y / (x * y))) = T(x * y,R(x \ 1,x,x * y)). T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). L(x * (y \ z),T(y,z),T(y,z)) = L(x,T(y,z),T(y,z)) * (z / T(y,z)). L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x * (y \ z),T(y,z),T(y,z)). T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). T(T(x,y) * L(x \ y,z,u),x) = T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u). T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(x,y) * L(T(x,y) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). x != T(y,z) * L(T(y,z) \ z,u,w) | x = T(y * L(y \ z,u,w),z). T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). T(T(x,x * y) * L(y,z,u),x) = T(x * L(x \ (x * y),z,u),x * y). T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). (x * ((y \ 1) \ 1)) \ ((1 / (1 / x)) * y) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). ((1 / 1) \ (x * y)) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (z * (x * y))) \ (y \ (x \ 1)). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). (x \ 1) * ((y \ (x \ 1)) \ (y \ z)) = (((x * y) / ((1 / z) * y)) \ x) \ 1. (((x * y) / ((1 / z) * y)) \ x) \ 1 = (x \ 1) * ((y \ (x \ 1)) \ (y \ z)). (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1) = ((1 / y) * z) * ((((z \ y) / x) \ 1) \ 1). (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. R(x,y,z) \ R(u / (u / x),y,z) = R(u / (u / x),y,z) / R(x,y,z). R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). x != R(1 / (1 / y),z,u) / R(y,z,u) | x = y * T(y \ 1,R(y,z,u)). R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). T(x / y,x) * ((1 / T(x / y,x)) * z) = (x \ y) * (((1 / y) * x) * z). (x * ((1 / 1) \ (y * z))) * ((z \ (y \ 1)) \ 1) = (1 / (x / (z \ (y \ 1)))) \ (y * z). (x * ((1 / (1 / y)) * z)) * (y * ((z \ 1) \ 1)) = (x / (z \ (1 / y))) / (z \ (1 / y)). T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * ((x \ ((1 / x) \ y)) / x)) * x. T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * (L(y,x,x) / x)) * x. T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * (y * (1 / x))) * x. (x * y) \ (y * x) = K(K(x \ 1,x) * y,(x \ 1) \ 1). K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). K(x,(y \ 1) \ 1) = K(K(y,y \ 1) * x,y). K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). (x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y). (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. x * ((x * (T(y,x) / y)) \ z) = (x * (T(y,x) / y)) \ (x * z). (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). T(x,y) \ x = (y * (x \ T(x,y))) \ y. (x * (y \ T(y,x))) \ x = T(y,x) \ y. (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). (1 \ (x * y)) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (z * (x * y))) \ (y \ (x \ 1)). (x * y) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (z * (x * y))) \ (y \ (x \ 1)). (1 / (x * (y * z))) \ (z \ (y \ 1)) = (y * z) \ (((z \ (y \ 1)) \ 1) * x). x != (y \ 1) * (z * T(z \ ((y \ 1) \ u),w)) | x = (y \ T(y * (u / z),w)) * z. K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. (x * (1 \ (y * z))) * ((z \ (y \ 1)) \ 1) = (1 / (x / (z \ (y \ 1)))) \ (y * z). (x * (y * z)) * ((z \ (y \ 1)) \ 1) = (1 / (x / (z \ (y \ 1)))) \ (y * z). (1 / (x / (y \ (z \ 1)))) \ (z * y) = (x * (z * y)) * ((y \ (z \ 1)) \ 1). (1 / ((1 / x) \ (y * z))) \ (y * z) = (x * (y * z)) * ((z \ (y \ 1)) \ 1). ((1 / (x * y)) * (1 / z)) \ (x * y) = (z * (x * y)) * ((y \ (x \ 1)) \ 1). x != ((1 / y) * z) \ y | x = ((y \ z) \ 1) * y. (x * (y * z)) * ((z \ (y \ 1)) \ 1) = (((y * z) \ (1 / x)) \ 1) * (y * z). (((x * y) \ (1 / z)) \ 1) * (x * y) = (z * (x * y)) * ((y \ (x \ 1)) \ 1). (x * (((y * z) \ 1) \ 1)) * (y * z) = (x * (y * z)) * ((z \ (y \ 1)) \ 1). (x * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)) = (x / (z \ (1 / y))) / (z \ (1 / y)). (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = (y \ (1 / x)) * (1 / (y \ (1 / x))). x != T((y * (1 / z)) / y,L(z,u,w) / z) | x = (y * (1 / z)) / y. L(1 / x,L(x,y,z),1 / x) = (L(x,y,z) * (1 / x)) / L(x,y,z). (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). L(1 / x,L(x,y,z),1 / x) * x = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). x != y * ((L(y,z,u) * (y \ 1)) / L(y,z,u)) | x = K(L(y,z,u),1 / y). x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). x != T(R(y,z,u),w) * (z * u) | x = (T(y,w) * z) * u. (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). x * ((K(x,y) \ y) * K(x,y)) = (T(y,K(x,y)) * x) * K(x,y). (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). (x * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). x * y != (z * x) * K(x,z) | y = z. (K(x,y) \ y) * K(x,y) = y. x / K(y,x) = K(y,x) \ x. x * y != (K(z,u) \ u) * K(z,u) | x \ u = y. (K(x,y) \ 1) \ y = y * K(x,y). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = R(y * T(y \ 1,x),z,u). R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. x != K(y \ (y / z),z) | x = K(z \ 1,z). R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. (((x \ ((x / y) * z)) * 1) \ 1) * (x \ ((x / y) * z)) = K(x \ ((z / x) \ y),x \ ((x / y) * z)). (x \ ((y / x) \ z)) * (x \ ((x / z) * y)) = K(x \ ((y / x) \ z),x \ ((x / z) * y)). K(x \ ((y / x) \ z),x \ ((x / z) * y)) = (x \ ((y / x) \ z)) * (x \ ((x / z) * y)). K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. T(x / (y * ((z \ 1) * (y * (z \ 1)))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). a(R(x,y,z),u,x) = a(x,T(u,x),R(T(x,u),y,z)). a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). ((1 / x) * y) * (1 / (z \ (y \ x))) = T(z \ (y \ x),z) \ ((1 / x) * y). T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * (1 / (x \ (y \ z))). T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * ((1 / (y \ z)) * x). T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * (((1 / z) * y) * x). T((x \ y) \ z,z) / (x \ y) = ((1 / y) * x) * (((1 / y) * x) * z). (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x \ (y \ 1)) / ((y * (((y \ 1) * x) * L(x,y,y))) \ (y \ 1)) = y * ((y \ 1) * x). (x \ (y \ 1)) / ((y * ((y \ x) * x)) \ (y \ 1)) = y * ((y \ 1) * x). (x \ (y \ 1)) / ((x * x) \ (y \ 1)) = y * ((y \ 1) * x). (1 / (x \ (y \ 1))) \ (y * (x * x)) = y * ((y \ 1) * x). ((1 / 1) \ (x * y)) \ (x * (y * y)) = x * ((x \ 1) * y). (1 \ (x * y)) \ (x * (y * y)) = x * ((x \ 1) * y). (x * y) \ (x * (y * y)) = x * ((x \ 1) * y). x \ L(y,y,x) = (x \ 1) * y. L(L(x,x,y),y,y) = x. x * y != L(L(z,z,u),u,u) | x \ z = y. (1 / x) \ y = x * L(y,y,x). x * L(y,y,x) = (1 / x) \ y. L(x,y,y) = L(x,x,y). (x * y) * y = x * (y * L(y,x,x)). x * (y * L(y,x,x)) = (x * y) * y. x != L(y,z * y,z * y) | x = z * ((y \ z) \ 1). L(x,x,y * x) = y * ((x \ y) \ 1). x != L(1 / y,z,z) | x = z \ (z / y). L(1 / x,1 / x,y) = y \ (y / x). (x * y) * L(L(y,x,x),z,u) = x * (y * L(y,z,u)). x \ ((x * y) * y) = y * L(y,x,x). x * y != z * (u * x) | y = (((1 / x) * z) * u) * x. (x * y) * L(x * y,y,y) = (((1 / y) * (y * (x * y))) * x) * y. (((1 / x) * (x * (y * x))) * y) * x = (y * x) * L(y * x,x,x). ((x \ y) \ z) * L(x,x,y * x) = (x \ y) \ ((z * y) / (x \ y)). (x \ y) \ ((z * y) / (x \ y)) = ((x \ y) \ z) * L(x,x,y * x). x != y \ (y / z) | x = 1 / L(z,y,y). L(1 / x,1 / x,y) = 1 / L(x,y,y). L(1 / x,1 / x,y) = 1 / L(x,x,y). ((x \ y) \ 1) * L(L((x \ 1) \ 1,y \ 1,y \ 1),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). (x \ y) * L(L(L(y,x,x),x \ 1,x \ 1),z,u) = (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)). (((1 / x) * (x * (y * x))) * y) * x = (y * x) * (y / (1 / x)). x != (y * z) * (y / (1 / z)) | x = y * (z * (y / (1 / z))). (((1 / x) * (x * (y * x))) * y) * x = y * (x * (y / (1 / x))). (L(x * y,y,y) * x) * y = x * (y * (x / (1 / y))). ((x / (1 / y)) * x) * y = x * (y * (x / (1 / y))). x != (1 / y) * ((y * z) * u) | x = (y \ ((y / u) / z)) \ 1. (((1 / x) / (1 / (x * y))) * (1 / x)) * (x * y) = (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1. (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (((1 / x) / (1 / (x * y))) * (1 / x)) * (x * y). x != y * ((y \ z) * u) | x = z * L(u,y \ z,y). ((x / (1 / (x \ y))) * x) * (x \ y) = y * L(x / (1 / (x \ y)),x \ y,x). x * L(y / (1 / (y \ x)),y \ x,y) = ((y / (1 / (y \ x))) * y) * (y \ x). 1 / (((x / (1 / y)) * x) * y) = (y \ (1 / (y * x))) / x. x * L(y / (1 / (y \ x)),y \ x,y) = ((y / ((1 / x) * y)) * y) * (y \ x). x * L(y / (1 / (y \ x)),y \ x,y) = ((y \ (y / (1 / x))) * y) * (y \ x). ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = (1 / T(x \ (y \ 1),z)) \ 1. ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = T(x \ (y \ 1),z). K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). ((1 / x) * (y / x)) \ ((x \ (1 / (x / y))) * z) = K(((y / x) \ x) \ 1,(y / x) \ x) * z. K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). ((x \ 1) \ 1) \ (1 / ((x \ y) \ 1)) = ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)). ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = ((x \ 1) \ 1) \ (1 / ((x \ y) \ 1)). ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = ((x \ 1) \ 1) \ (x \ y). ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = (x \ 1) * ((x \ 1) * y). ((x \ y) \ 1) \ (1 / (((x \ y) \ 1) * y)) = (x \ 1) * ((x \ 1) * y). x != y * (z * R(z \ (y \ (u * z)),w,v5)) | x = (y * R(y \ u,w,v5)) * z. K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. x != y * (z * L(z \ (y \ (u * z)),w,v5)) | x = (y * L(y \ u,w,v5)) * z. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. T(x / (y * (z \ (y / z))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(((y / x) \ x) \ 1,(y / x) \ x) * z. ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x \ (1 / (x / y)),(y / x) \ x) * z. K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). (T(x,x \ 1) * y) \ (y * ((x \ 1) \ 1)) = K(y,x). K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). x != (T(y,y \ z) * u) \ (u * ((y \ z) \ z)) | x = K(u,(y \ z) \ z). K(x,y) = K(x,(y \ 1) \ 1). K(x,(y \ 1) \ 1) = K(x,y). x != K(y,(z \ 1) \ 1) | x = K(K(z,z \ 1) * y,z). K(x,y) = K(K(y,y \ 1) * x,y). K(K(x,x \ 1) * y,x) = K(y,x). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,(y * (z \ 1)) \ 1) = K(x,z / y). K(x,y) = K(x,1 / (1 / y)). K(x,1 / (1 / y)) = K(x,y). K(x,1 / y) = 1 * K(x,y \ 1). 1 * K(x,y \ 1) = K(x,1 / y). x != K(R(y,z,u),1 / y) | x = y * ((y \ R(y,z,u)) / R(y,z,u)). K(R(x,y,z),x \ 1) = x * ((x \ R(x,y,z)) / R(x,y,z)). x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). x * y != K(z,1 / u) | x \ K(z,u \ 1) = y. x \ K(R(x,y,z),x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). K(x \ y,x) = K(((x \ 1) \ 1) \ y,x). K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). K(x * (1 / y),y) = K(x * (y \ 1),y). K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). K(x,1 / y) != z | z = K(x,y \ 1). K(x,1 / y) != z | K(x,y \ 1) = z. K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). x != K(y,((1 / z) \ y) / y) | x = ((1 / z) \ y) \ (y * R(1 / (1 / z),z \ 1,(1 / z) \ y)). K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ (x * R(1 / (1 / y),y \ 1,(1 / y) \ x)). ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). x != K(y \ ((1 / y) \ z),y) | x = ((1 / y) \ z) \ ((1 / y) \ T(z,y)). K(x \ ((x \ 1) \ y),x) = ((1 / x) \ y) \ ((1 / x) \ T(y,x)). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). x != y \ K(z,y \ 1) | x = (y \ 1) * K(z,y \ 1). (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | u = K(R(x,y,z),x \ 1). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. L(T(x,y),y,K(z \ 1,z)) = R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = ((y \ x) \ 1) * ((y \ x) \ 1). (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = (y \ x) \ (1 / (y \ x)). x != (y \ z) \ (1 / (y \ z)) | x = (z \ y) * (z \ y). (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = (x \ y) * (x \ y). (x \ 1) * (((y \ 1) \ 1) * ((y \ x) \ 1)) = (x \ y) * (x \ y). (x \ 1) * (y * ((1 * (x \ 1)) * y)) = (x \ y) * (x \ y). (x \ 1) * (y * ((x \ 1) * y)) = (x \ y) * (x \ y). x \ (x / ((y \ z) * (y \ z))) = ((y \ 1) * z) \ (((y \ 1) * z) \ 1). ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = z \ (z / ((x \ y) * (x \ y))). ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = z \ (z * (((y / x) * y) \ x)). x != y \ (y * z) | x = z. ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = ((y / x) * y) \ x. ((x \ 1) * y) \ (y \ ((x \ 1) \ 1)) = ((y / x) * y) \ x. K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). K(x,y) * T(y,z) = (y * K(x,y)) * (y \ T(y,z)). (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). ((x \ y) / y) * R(x,z,u) = R(x,z,u) / (((x \ y) / y) \ 1). R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). x != K(y \ z,T(y / z,T(z,y))) | x = K(y \ z,z \ y). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). K(x \ y,y \ x) = K((x / y) \ 1,x / y). K((x / y) \ 1,x / y) = K(x \ y,y \ x). x != K((y / z) \ 1,y / z) | x = K(z / y,y / z). K(x \ y,y \ x) = K(y / x,x / y). K(x / y,y / x) = K(y \ x,x \ y). K(x / y,(x / y) \ 1) = K(y \ x,x \ y). K(x \ y,y \ x) / z = (y / x) * (1 / (z * (y / x))). (x / y) * (1 / (z * (x / y))) = K(y \ x,x \ y) / z. x \ K(y \ z,z \ y) = (x \ (z / y)) * (1 / (z / y)). (x \ (y / z)) * (1 / (y / z)) = x \ K(z \ y,y \ z). ((1 / x) * y) * (T(((y / x) \ 1) \ 1,y) \ z) = K(x \ y,y \ x) * z. x != (y / z) * (1 / (u * (y / z))) | x = (z * (y \ 1)) * ((y / z) / u). K(x \ y,y \ x) / z = (x * (y \ 1)) * ((y / x) / z). (x * (y \ 1)) * ((y / x) / z) = K(x \ y,y \ x) / z. (x * (y \ 1)) * (1 / ((y * x) / y)) = y \ K(y \ (y * x),(y * x) \ y). x \ K(x \ (x * y),(x * y) \ x) = (y * (x \ 1)) * (1 / ((x * y) / x)). ((1 / x) * y) * (((y \ x) \ 1) \ z) = K(x \ y,y \ x) * z. x \ K(y,(x * y) \ x) = (y * (x \ 1)) * (1 / ((x * y) / x)). (x * (y \ 1)) * (1 / ((y * x) / y)) = y \ K(x,(y * x) \ y). (x * (y \ 1)) * (1 / ((y * x) / y)) = y \ K(x,x \ 1). x != y \ K(z,z \ 1) | x = (y \ z) * (1 / z). (x * (y \ 1)) * (1 / ((y * x) / y)) = (y \ x) * (1 / x). (x * (y \ 1)) * ((y / x) / y) = (y \ x) * (1 / x). x != (y * (z \ 1)) * ((z / y) / u) | x = K(y \ z,z \ y) / u. (x \ y) * (1 / y) = K(y \ x,x \ y) / x. K(x \ y,y \ x) / y = (y \ x) * (1 / x). ((x \ y) * (1 / y)) * x = K(y \ x,x \ y). ((x \ y) * (1 / y)) * x != z | z = K(y \ x,x \ y). ((x \ y) * (1 / y)) * x != z | K(y \ x,x \ y) = z. ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). L(x,T(y,z) / y,K(y \ 1,y)) = x. x != K(y,1 / z) | x = K(y,z \ 1). L(K(x,1 / y),T(z,u) / z,K(z \ 1,z)) = K(x,y \ 1). (((x \ y) \ 1) \ 1) \ (((1 / z) \ ((1 / y) * x)) \ 1) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). x * y != (((z \ ((z / u) * w)) * 1) \ 1) * (z \ ((z / u) * w)) | K(z \ ((w / z) \ u),z \ ((z / u) * w)) / y = x. K(x \ ((y / x) \ z),x \ ((x / z) * y)) / (x \ ((x / z) * y)) = T((x \ ((x / z) * y)) \ 1,1). (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = ((1 / ((1 / (x * y)) * x)) * (1 / x)) * (x * y). (((x \ y) \ 1) \ 1) \ ((z / (x \ y)) \ 1) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). (((x \ y) \ 1) \ 1) \ ((x \ y) * (z \ 1)) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). x != ((y \ 1) \ 1) \ (y * z) | x = K(y,y \ 1) * z. ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = K(y \ x,(y \ x) \ 1) * (z \ 1). ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = K(y \ x,x \ y) * (z \ 1). (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = ((1 / (1 / y)) * (1 / x)) * (x * y). (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (1 / (x / y)) * (x * y). (x * ((y \ x) \ 1)) * L(((x * y) \ x) \ 1,z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. (x * ((y \ x) \ 1)) * L(x * ((y \ x) \ 1),z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). x * (((y \ x) \ 1) * L(x * ((y \ x) \ 1),z,u)) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). x * ((y \ x) \ L(x / (y \ x),z,u)) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = x * ((y \ x) \ L(x / (y \ x),z,u)). ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = x * ((y \ x) \ L(y,z,u)). K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). x != K(y,z) / (y \ 1) | x = y * K(y,z). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). x != T(y,y / (y * z)) | x = T(y,y / (z * y)). R(x,y,z) * K(R(x,y,z),x \ 1) = T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))). T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z). R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R((x \ 1) \ 1,y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). x * y != R((z \ u) \ u,w,v5) | x \ R(T(z,z \ u),w,v5) = y. R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). x != R(y,z,u) \ R(T(y,y \ 1),z,u) | x = a(R(y,z,u),1 / y,y). K(R(x,y,z),x \ 1) = a(R(x,y,z),1 / x,x). a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) \ 1 = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. x != K(R(y,z,u),y \ 1) | x = y * ((y \ R(y,z,u)) / R(y,z,u)). a(R(x,y,z),1 / x,x) = x * ((x \ R(x,y,z)) / R(x,y,z)). x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. x != (y \ z) * (1 / (u * (y \ z))) | x = K(y \ z,z \ y) / u. (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = K(x \ ((x / z) * y),((x / z) * y) \ x) / u. K(x \ ((x / y) * z),((x / y) * z) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). ((x \ 1) * y) \ ((x \ 1) * (y * z)) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. ((x * y) * (1 / z)) / (y * (1 / z)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. ((x / (x \ (y * (z * x)))) \ x) * ((x \ y) * L(z,x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))) = (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)). x * ((y \ 1) * (y * T(y \ 1,x))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). (1 / x) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). x != (1 / y) * (z * K(y \ 1,y)) | x = T((y \ 1) * z,K(u \ 1,u)). x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(z \ 1,z)). T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). x != (y \ K(1 / y,z)) * ((y \ 1) \ 1) | x = K(y \ 1,z). K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). K(x \ 1,y) = K(x \ 1,(y * (1 / x)) / (x \ 1)). K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (1 / x) * (y * x) != z * ((x * ((1 / x) * (y * x))) / x) | L(y,x,x \ 1) \ ((1 / x) * (y * x)) = z. x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. T((x \ 1) \ T(x,x \ 1),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). ((1 / (x / y)) \ ((z \ 1) \ 1)) \ ((y * (x \ 1)) \ z) = ((1 \ ((y * (x \ 1)) \ z)) \ 1) * ((y * (x \ 1)) \ z). ((((x \ y) \ z) * (1 / z)) \ 1) * (1 / ((z \ 1) \ (x \ y))) = ((x / z) \ ((1 / y) \ z)) \ ((z \ 1) \ (x \ y)). x / K(y,x) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). x != y / K(z,y) | x = K(z,y) \ y. x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. (K(x,y) \ y) \ 1 = y \ ((((y * x) \ y) \ 1) \ T(((y * x) \ y) \ 1,y)). x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. x \ K(y,x) = (K(y,x) \ x) \ 1. (K(x,y) \ y) \ 1 = y \ K(x,y). 1 / (x \ K(y,x)) = K(y,x) \ x. T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). x != (y \ 1) * R((y \ 1) \ 1,z,u) | x = y \ R(y,z,u). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). T(T((x \ 1) \ x,x),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). T(T(x * x,x),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). (x * x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). (x * x) \ T(((x * y) / x) * x,x \ 1) = y / T(x,x \ 1). (x * x) \ T(x * y,x \ 1) = y / T(x,x \ 1). x != (y * y) \ T(y * z,y \ 1) | x = y \ T(z,y \ 1). x / T(y,y \ 1) = y \ T(x,y \ 1). ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = ((1 \ ((y * (x \ 1)) \ z)) \ 1) * ((y * (x \ 1)) \ z). ((1 \ ((x * (y \ 1)) \ z)) \ 1) * ((x * (y \ 1)) \ z) = ((y / x) / (1 / z)) \ ((x * (y \ 1)) \ z). (((x * (y \ 1)) \ z) \ 1) * ((x * (y \ 1)) \ z) = ((y / x) / (1 / z)) \ ((x * (y \ 1)) \ z). x != (((y * (z \ 1)) \ u) \ 1) * ((y * (z \ 1)) \ u) | x = K((u \ 1) * (1 / (z / y)),(y * (z \ 1)) \ u). ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((z \ 1) * (1 / (x / y)),(y * (x \ 1)) \ z). K((x \ 1) * (1 / (y / z)),(z * (y \ 1)) \ x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). ((1 / x) \ (((y \ z) \ x) \ 1)) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). (x * (((x \ (y \ z)) \ 1) \ 1)) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). (x * (((x \ (y \ z)) \ 1) \ 1)) * ((1 / (y \ z)) * (x \ 1)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). (x * (((x \ (y \ z)) \ 1) \ 1)) * (((1 / z) * y) * (x \ 1)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). (((x * (y * z)) \ (x * y)) * ((x * (y * z)) \ (x * y))) * u != w * (((x * y) \ (x * (y * z))) \ u) | L(z,y,x) \ 1 = w. R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). x != y * (z * ((y * (z \ (y \ u))) / y)) | x = (y * ((u / z) / y)) * z. (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). T(x / y,x) \ (((1 / y) * (x * ((1 / y) * x))) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). ((x \ (y \ 1)) \ z) / T(x \ (y \ 1),z) = (1 / (y * x)) \ ((x \ (y \ 1)) \ z). x != (1 / (y * z)) \ ((z \ (y \ 1)) \ u) | x = (y * z) * ((y * z) * u). ((x \ (y \ 1)) \ z) / T(x \ (y \ 1),z) = (y * x) * ((y * x) * z). ((1 / x) * (y * (z \ 1))) * (1 * ((((y * (z \ 1)) \ x) \ 1) \ 1)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). T(x / y,x) \ (((1 / y) * ((x / y) * x)) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). T(x / y,x) \ (((1 / y) * ((x / y) * x)) * ((x \ y) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). T(x / y,x) \ (((x \ y) \ 1) * ((x \ y) \ ((x \ y) \ z))) = ((1 / y) * x) * (((1 / y) * x) * z). x != T(y / z,y) \ (((y \ z) \ 1) * ((y \ z) \ u)) | x = (((y \ z) \ 1) \ 1) \ u. ((1 / x) * y) * (((1 / x) * y) * z) = (((y \ x) \ 1) \ 1) \ ((y \ x) \ z). (((x \ y) \ 1) \ 1) \ ((x \ y) \ z) = ((1 / y) * x) * (((1 / y) * x) * z). ((1 / x) * y) * (((1 / x) * y) * z) = ((y \ x) \ 1) * (((y \ x) \ 1) * z). ((x \ y) \ 1) * (((x \ y) \ 1) * z) = ((1 / y) * x) * (((1 / y) * x) * z). ((1 / x) * (y * (z \ 1))) * (1 * (((x \ 1) * (1 / (z / y))) \ 1)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). ((1 / x) * (y * (z \ 1))) * (1 * ((1 / (z / y)) \ ((x \ 1) \ 1))) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). ((1 / x) * (y * (z \ 1))) * (1 * ((z / y) / (1 / x))) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). ((1 / x) * (y * (z \ 1))) * ((z / y) / (1 / x)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). ((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | x = (y * ((u * (y \ w)) / u)) * z. (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. x * (y * z) != (u * y) * z | x = R(u,y,z). R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). R(x,y,z) * (1 / R(x,y,z)) = R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). x != y * (1 / y) | x = K(y,y \ 1). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x * R(x \ 1,y,z),u,w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). L(x * L(x \ 1,y,z),u,w) = L(x,u,w) * L(L(x,u,w) \ 1,y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(K(L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(a(R(x,y,z),1 / x,x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). x != R(K(R(y,z,u),y \ 1),z,u) | x = K(R(y,z,u),R(y,z,u) \ 1). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). x * y != K(x,x \ 1) | y = 1 / x. (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). x != (R(y,z,u) / y) \ (1 / y) | x = R(1 / (1 / y),z,u) \ 1. 1 / R(x,y,z) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). 1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z). R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). R(1 / x,y,z) \ 1 = 1 / R(x \ 1,y,z). 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. R(x,y,z) \ 1 = 1 / R((x \ 1) \ 1,y,z). 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). R(1 / x,y,z) = 1 / (1 / R(x \ 1,y,z)). 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). (R(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z). R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R((z * K(y \ 1,y)) \ 1,u,w)). T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). (((1 / x) * y) \ y) \ 1 = 1 / R(T(x,(1 / x) * y),1 / x,y). 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. x != R(((y / (1 / z)) \ 1) \ 1,z \ 1,z) | x = T(y * z,y \ (1 / z)). ((x * y) \ 1) \ 1 = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. x != ((y * z) * u) * (((((y * z) * u) \ (z * u)) \ 1) \ 1) | x = ((R(y,z,u) \ 1) * R(y,z,u)) * (z * u). ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. x != ((y * z) * u) * (((((y * z) * u) \ (z * u)) \ 1) \ 1) | x = ((R(y,z,u) \ 1) \ 1) \ ((y * z) * u). ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). K((x * (y \ 1)) \ 1,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x * ((y * z) * ((u * ((y * z) \ y)) / u)) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). L(x * ((y * (x \ 1)) / y),z,u) = L(x,z,u) * ((y * (L(x,z,u) \ 1)) / y). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). L(x,y,z) * (1 / L(x,y,z)) = L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). x != L(K(L(y,z,u),1 / y),z,u) | x = L(y,z,u) * ((L(y,z,u) / y) \ (1 / y)). K(L(x,y,z),L(x,y,z) \ 1) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). x != (L(y,z,u) / y) \ (1 / y) | x = L(1 / (1 / y),z,u) \ 1. 1 / L(x,y,z) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). 1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z). L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). L(1 / x,y,z) \ 1 = 1 / L(x \ 1,y,z). 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. L(K(x,y),z,u) \ 1 = 1 / L(K(x,y),z,u). 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). (L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z). L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. (L(x \ 1,y,z) \ u) \ (1 / u) = u \ (1 / (u * (L(1 / x,y,z) \ 1))). x \ (1 / (x * (L(1 / y,z,u) \ 1))) = (L(y \ 1,z,u) \ x) \ (1 / x). (x \ 1) * L((y \ 1) \ 1,z,u) = (L(y,z,u) \ x) \ 1. L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. x \ L(x,y,z) = (L(x,y,z) \ x) \ 1. (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). x * ((L(y,z,u) \ x) \ 1) = L(L((y \ 1) \ 1,z,u),x,x). L(L((x \ 1) \ 1,y,z),u,u) = u * ((L(x,y,z) \ u) \ 1). ((x \ y) \ 1) * L((x \ 1) \ 1,z,u) = (x \ (L(x,z,u) \ y)) \ 1. 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. (1 / L(x,y,z)) * x = L(x,y,z) \ x. x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) * L(x,y,z) = x. (x \ ((L(x,y,z) \ x) * u)) \ 1 = x \ ((u / x) \ L(x,y,z)). (x \ 1) * (L(x,y,z) \ x) = x * (1 / (L(x,y,z) * x)). (x \ 1) * (L(x,y,z) \ x) = x * (1 / (x * L(x,y,z))). (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). x != L(L(y \ 1,z,u),w,w) | x = L((w * y) \ w,z,u). x * ((L(y,z,u) \ x) \ 1) = L((x * (y \ 1)) \ x,z,u). L((x * (y \ 1)) \ x,z,u) = x * ((L(y,z,u) \ x) \ 1). L(x * ((y \ x) \ 1),z,u) = x * ((L(y,z,u) \ x) \ 1). L(x * ((y \ x) \ 1),z \ y,z) = x * ((y \ x) \ 1). L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. x != (y \ 1) * L(y \ 1,z,u) | x = y \ L(1 / y,z,u). (x \ (L(x,y,z) \ 1)) \ 1 = (x \ 1) \ L(1 / (x \ 1),y,z). (x \ 1) \ L(1 / (x \ 1),y,z) = (x \ (L(x,y,z) \ 1)) \ 1. (x \ 1) \ L(x,y,z) = (x \ (L(x,y,z) \ 1)) \ 1. (x \ (L(x,y,z) \ 1)) \ 1 = (x \ 1) \ L(x,y,z). x != L(T((y \ z) \ u,w),y \ z,y) | x = T(z \ (y * u),w). ((x \ (y * z)) \ 1) \ 1 = T(x \ (y * z),z \ (y \ x)). T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. x \ (L(1 / y,z,u) / x) = (L(y \ 1,z,u) \ x) \ (1 / x). (L(x \ 1,y,z) \ u) \ (1 / u) = u \ (L(1 / x,y,z) / u). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). x * ((y * z) * (1 / (1 / ((y * z) \ y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). x * (y * K(z,z \ 1)) != (x * y) * u | K(L(z,y,x),L(z,y,x) \ 1) = u. (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / y) \ T((x \ 1) \ 1,y)). ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / ((x \ 1) \ 1)) \ y). ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((x \ 1) \ y). x != (((1 / y) * z) \ u) * (z \ y) | x = (z \ y) * (u * (z \ y)). ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). ((1 / x) * (y \ 1)) \ (z / ((T(y,x) \ 1) * (1 / x))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). ((1 / x) * (y \ 1)) \ (z / ((1 / x) * (y \ 1))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). ((1 / x) * (y \ 1)) \ ((1 / z) \ (y / (1 / x))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). x != (y * (z \ 1)) \ (u \ (z / y)) | x = (z / y) * ((u \ 1) * (z / y)). ((x \ 1) \ y) * (z * ((x \ 1) \ y)) = (x / (1 / y)) * (((1 / z) \ 1) * (x / (1 / y))). (x / (1 / y)) * (((1 / z) \ 1) * (x / (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). (x / (1 / y)) * (z * (x / (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(x \ 1,R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). x * y != K(z \ 1,R(z,u,w)) \ (z \ 1) | x \ ((z \ R(z,u,w)) / R(z,u,w)) = y. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. K(R(x,y,z),x \ 1) = K(x \ 1,R(x,y,z)) \ 1. K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). x != y * T(y \ 1,R(y,z,u)) | x = R(y,z,u) \ R(1 / (1 / y),z,u). K(x \ 1,R(x,y,z)) = R(x,y,z) \ R(1 / (1 / x),y,z). R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). x != R(1 / (1 / y),z,u) | x = 1 / (1 / R(y,z,u)). R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). x * y != z / (1 / x) | y = (x \ z) * x. K(x \ 1,R(x,y,z)) = (R(x,y,z) \ 1) * R(x,y,z). (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). x * y != 1 / (1 / x) | y = K(x \ 1,x). K(x \ 1,R(x,y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. K((x / (y * z)) \ 1,R((x / z) / y,y,z)) = K(((x / z) / y) \ 1,R((x / z) / y,y,z)). K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. R(K(x,R(x \ 1,y,z)),y,z) = K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)). K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. x != K(R(y,z,u) \ 1,R(y,z,u)) | x = K(y \ 1,R(y,z,u)). R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). K(x,R(x \ 1,y,z)) * (y * z) = (K(x,R(x \ 1,y,z)) * y) * z. (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). L(x,y,K(z,R(z \ 1,y,x))) = x. x * y != K(z,R(z \ 1,u,y)) * (u * y) | x = u * K(z,z \ 1). K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). x * y != y * K(z,z \ 1) | x = K(z,z \ 1). K(x,R(x \ 1,y,z)) = K(x,x \ 1). K(x,x \ 1) * (y * z) = (y * K(x,x \ 1)) * z. (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). L(x,y,K(z,z \ 1)) = x. x != L(y,T(z,K(u,u \ 1)),K(u,u \ 1)) | x = (z * K(u,u \ 1)) \ ((z * y) * K(u,u \ 1)). x = (y * K(z,z \ 1)) \ ((y * x) * K(z,z \ 1)). (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. x \ y = (K(z,z \ 1) * x) \ (K(z,z \ 1) * y). (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). (K(x,x \ 1) * y) * z != u | K(x,x \ 1) * (y * z) = u. (K(x,x \ 1) * y) * z != K(x,x \ 1) * u | y * z = u. K(x,x \ 1) * y != (K(x,x \ 1) * z) * u | z * u = y. L(x,y,K(z \ 1,z)) = x. ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. (1 / x) / y = K(x,x \ 1) * ((x \ 1) / y). K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. L(x,y,K(z \ u,u \ z)) = x. L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). x != y | x = z \ (z * y). L(x,y,K(z \ 1,z)) = u \ (u * x). (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). (K(x \ 1,x) * y) * z != K(x \ 1,x) * u | y * z = u. K(x \ 1,x) * y != (K(x \ 1,x) * z) * u | z * u = y. (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). (K(x \ y,y \ x) * z) * u != K(x \ y,y \ x) * w | z * u = w. K(x \ y,y \ x) * z != (K(x \ y,y \ x) * u) * w | u * w = z. (x \ y) / z = L(x \ (y / z),x,y \ 1). L(x \ (y / z),x,y \ 1) = (x \ y) / z. x != L(K(y,z),z * y,1 / z) | x = L(y,z,z \ 1) \ ((1 / z) * (y * z)). L(K(x,y),y * x,y \ 1) = L(x,y,y \ 1) \ ((1 / y) * (x * y)). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). L(x,y,z) = L(x,y,(z \ 1) \ 1). L(x,y,(z \ 1) \ 1) = L(x,y,z). L(x,y,z / u) = L(x,y,(u * (z \ 1)) \ 1). L(x,y,(z * (u \ 1)) \ 1) = L(x,y,u / z). L(x,y,(1 / z) * u) = L(x,y,(u \ z) \ 1). L(x,y,(z \ u) \ 1) = L(x,y,(1 / u) * z). L(x,y,(z \ u) * (1 / z)) = L(x,y,(z * (u \ z)) \ 1). L(x,y,(z * (u \ z)) \ 1) = L(x,y,(z \ u) * (1 / z)). L(x,y,K(z \ 1,z)) != u | u = x. (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | u = y \ z. (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | y \ z = u. R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | u = T(x,y). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. K(x,y \ 1) != z | z = K(x,1 / y). K(x,y \ 1) != z | K(x,1 / y) = z. L(x \ y,x,z \ 1) = (x \ z) / (y \ z). (x \ y) / (z \ y) = ((y \ 1) * x) \ ((y \ 1) * z). ((x \ 1) * y) \ ((x \ 1) * z) = (y \ x) / (z \ x). L(x,y,z \ 1) = (y \ z) / ((y * x) \ z). (x \ y) / ((x * z) \ y) = L(z,x,y \ 1). x / ((y * z) \ (y * x)) = L(z,y,(y * x) \ 1). ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. L(x,y,(z \ 1) \ u) = L(x,y,z / (1 / u)). L(x,y,z / (1 / u)) = L(x,y,(z \ 1) \ u). L(x,y,z \ (1 / (z / u))) = L(x,y,(1 / z) * (u / z)). ((x \ 1) \ 1) / y = (x / y) * K(x,x \ 1). (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. (x \ ((y \ 1) \ 1)) * K(y \ 1,(y \ 1) \ 1) = (1 / (y \ 1)) / T(x,x \ T(y,y \ 1)). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). x / ((y * z) \ (y * x)) = L(z,y,x \ (y \ 1)). x / (((y * z) * u) \ ((y * (z * u)) * x)) = L(a(y,z,u),y * (z * u),x \ ((y * (z * u)) \ 1)). L(a(x,y,z),x * (y * z),u \ ((x * (y * z)) \ 1)) = u / (((x * y) * z) \ ((x * (y * z)) * u)). x * y != (z * K(u,u \ 1)) * w | (K(u,u \ 1) * (z * w)) / y = x. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). x * y = K(z,z \ 1) * ((K(z \ 1,z) * x) * y). K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. T(x,y) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). x \ (K(y,y \ 1) * z) = (x * K(y \ 1,y)) \ z. (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). ((x \ y) * (1 / y)) * z = K(y,y \ 1) * ((x \ 1) * z). K(x,x \ 1) * ((y \ 1) * z) = ((y \ x) * (1 / x)) * z. (x * (1 / (y * x))) * (K(x,x \ 1) * (y * z)) = L(z,x * (1 / (y * x)),x * (1 / (y * x))). (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). R(K(x \ 1,x) * y,z,u) = ((K(x \ 1,x) * (y * z)) * u) / (z * u). ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). (((x \ 1) \ 1) \ y) * z = K(x \ 1,x) * ((x \ y) * z). K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. (1 / (1 / x)) / y = K(x \ 1,x) * (x / y). K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. K(x \ 1,x) * (y \ x) = (1 / (1 / x)) / T(y,y \ x). (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). K(x \ 1,R(x,y,z)) = K(x \ 1,x). L(x,y,z * K(u \ 1,u)) = (K(u \ 1,u) * (z * y)) \ ((z * K(u \ 1,u)) * (y * x)). (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). K(((x / y) / z) \ 1,x / (z * y)) = K(((x / y) / z) \ 1,(x / y) / z). K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). (((1 / x) \ 1) * (1 / y)) \ (((1 / x) \ 1) * z) = (y / x) / (z \ (1 / x)). ((((x \ y) \ 1) \ 1) * (y \ 1)) \ ((((x \ y) \ 1) \ 1) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). (((x / y) \ 1) * (x * x)) \ (((x / y) \ 1) * z) = (1 / (y * x)) / (z \ (x / y)). (((x / y) \ 1) * (y \ 1)) \ (((x / y) \ 1) * z) = (y * (x * (1 / y))) / (z \ (x / y)). x != ((y * z) * K(u,u \ 1)) / (K(u,u \ 1) * z) | x = R(y,z,T(K(u,u \ 1),z)). K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) != u | y / (z * K(x \ 1,x)) = u. L(x,y,z \ (1 / (z / u))) = L(x,y,(z \ u) / z). ((x \ y) * (1 / y)) * z != K(y,y \ 1) * u | (x \ 1) * z = u. K(x,x \ 1) * y != ((z \ x) * (1 / x)) * u | (z \ 1) * u = y. x * K(y \ 1,y) != (y \ 1) * z | x = (1 / y) * z. x \ R(x,y,z) = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = x \ R(x,y,z). R(x,y,z) / x = x \ R(x,y,z). (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. x \ R(x,y,z) != u | R(x,y,z) / x = u. (x \ R(x,y,z)) * x = R(x,y,z). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). T(x,x \ R(x,y,z)) = x. (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. K(R(x,y,z) \ x,x \ 1) = 1. x \ (K(y \ 1,y) * z) != u | (K(y,y \ 1) * x) \ z = u. (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). x * K(y \ 1,y) != (1 / y) \ z | x = (y \ 1) \ z. (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). x != (y \ 1) \ (R(y,z,u) \ 1) | x = R(y,z,u) \ y. (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. x / R(x,y,z) = R(x,y,z) \ x. (R(x,y,z) \ x) * R(x,y,z) = x. T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (x * K(y \ z,z \ y)) * (x \ 1) != u | u = K(y \ z,z \ y). (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. x != (K(y,y \ 1) * z) / u | x = K(y,y \ 1) * (z / u). R(x,K(y,y \ 1),z) = K(y,y \ 1) * ((x * z) / (K(y,y \ 1) * z)). K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). x != (K(y \ 1,y) * z) / u | x = K(y \ 1,y) * (z / u). R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * (((y * z) * u) / (z * u)). K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u). R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). x != K(y \ 1,y) * R(z * T(y,y \ 1),u,w) | x = (y \ R(y * z,u,w)) * y. R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | w = R(y,z,u). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. K(x,x \ 1) * R(y,z,u) = R(K(x,x \ 1) * y,z,u). R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). (x * (1 / y)) \ (((1 / x) \ 1) * z) = (y / x) / (z \ (1 / x)). (x * (1 / y)) \ (x * z) = (y / x) / (z \ (1 / x)). (x / y) / (z \ (1 / y)) = (y * (1 / x)) \ (y * z). R(x * y,z,u) = (y \ R(y * x,z,u)) * y. (x \ R(x * y,z,u)) * x = R(y * x,z,u). R(x * y,z,u) / y = y \ R(y * x,z,u). (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. R(x,y,z) / u = u \ R(u * (x / u),y,z). x \ R(x * (y / x),z,u) = R(y,z,u) / x. R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. x * (R(y,z,u) / x) = R(x * (y / x),z,u). R(x * (y / x),z,u) = x * (R(y,z,u) / x). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). x * y != R((z \ (u / w)) * z,w,w \ 1) | ((z \ (u * (w \ 1))) * z) / y = x. ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. x != R((y \ (y / (1 / z))) * y,z \ 1,z) | x = (y * (z \ T(z,y))) * z. (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. x * y != R((z \ (u / (1 / w))) * z,w \ 1,w) | ((z \ (u * w)) * z) / y = x. ((x \ (y * z)) * x) / z = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. ((x \ (1 * y)) * x) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). x * y = (y * (x \ T(x,y))) * x. (x * (y \ T(y,x))) * y = y * x. (x * y) / x = y * (x \ T(x,y)). x * (y \ T(y,x)) = (y * x) / y. x * y != z * (z \ u) | u / y = x. x / y = (y \ x) * (y \ T(y,y \ x)). (x \ y) * (x \ T(x,x \ y)) = y / x. T(x,y) * (y \ T(y,T(x,y))) = x. (x \ T(x,y)) * y = (x * y) / x. x \ ((y * x) / y) = y \ T(y,x). x * (y \ T(y,z)) != (u * z) / u | x = ((u * z) / u) * (T(y,z) \ y). x = ((y * x) / y) * (T(y,x) \ y). ((x * y) / x) * (T(x,y) \ x) = y. (x \ 1) * y != (z * (x \ 1)) / z | y = x * ((z * (x \ 1)) / z). x \ T(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). x * y != (z * x) / z | y = ((z * x) / z) / x. x \ T(x,y) = ((x * y) / x) / y. ((x * y) / x) / y = x \ T(x,y). (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). x * (y * T(y \ 1,x)) = ((y \ 1) * x) / (y \ 1). ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). (T(x,y) \ x) * ((x * y) / x) = y. ((x * y) / x) * (y \ 1) = x \ T(x,y). ((x * y) / x) \ y = T(x,y) \ x. T(x,y) * (y \ T(y,x)) = x. x \ T(x,y) = T(y,T(x,y)) \ y. T(x,T(y,x)) \ x = y \ T(y,x). T(x,y) \ x = y \ T(y,x). x != (y \ 1) \ T(y \ 1,z) | x = K(z \ (z / y),z). T(x,y \ 1) \ x = K(x \ (x / y),x). K(x \ (x / y),x) = T(x,y \ 1) \ x. x != (y \ 1) \ T(y \ 1,z) | x = y * T(y \ 1,z). T(x,y \ 1) \ x = y * T(y \ 1,x). T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. x * (T(x,y) \ x) = (y * x) / y. (x * y) / x = y * (T(y,x) \ y). (x \ T(x,y)) * x = T(x,R(y,y \ 1,x)). T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). x * (T(x,T(y,x)) \ x) = (y * x) / y. (x * y) / x = y * (T(y,T(x,y)) \ y). x \ (y / (y / x)) = T(x,x \ y) \ x. T(x,x \ y) \ x = x \ (y / (y / x)). x / (x / y) = y * (T(y,y \ x) \ y). x * y != ((z / u) * u) / w | x \ (z / w) = y. x \ (y / (y / x)) = T(x,y / x) \ x. T(x,y / x) \ x = x \ (y / (y / x)). T(x * (T(x,y) \ x),y) = x. (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). ((x * y) / x) \ x = y \ (x * (T(x,y) \ x)). x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. x != y | x = L(R(y,z,y),z,y). T(x * (T(x,y) \ x),y) = L(R(x,z,x),z,x). (x \ y) * (x \ ((x \ y) \ y)) = y / x. K(x \ (x / y),x) \ x = T(x,y \ 1). T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). (x \ y) \ (y / x) = x \ ((x \ y) \ y). K(x \ y,x) \ x = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = K(x \ y,x) \ x. x != (y \ T(y,z)) * y | x = T(y,z). T(x,R(y,y \ 1,x)) = T(x,y). x * K(x,y / x) = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = x * K(x,y / x). x * y != T(z,R(u,u \ 1,z)) | T(z,u) / y = x. T(x,y \ 1) / x = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = T(y,x \ 1) / y. T(x,R(y \ 1,y,x)) = T(x,y \ 1). x != T(y * z,R(y \ 1,y,y * z)) | x = y * ((y * z) * (z / (y * z))). T(x * y,x \ 1) = x * ((x * y) * (y / (x * y))). x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). x != T(y,R(z \ 1,z,y)) | x = T(y,y / (y * z)). T(x,y \ 1) = T(x,x / (x * y)). T(x,x / (x * y)) = T(x,y \ 1). x != T(y,R(z \ 1,z,u)) | x = T(y,u / (z * u)). T(x,y \ 1) = T(x,x / (y * x)). T(x,x / (y * x)) = T(x,y \ 1). (x * ((x / y) / x)) * y = T(x,y \ 1). x * y != T(z,z / (z * u)) | T(x,y) = y \ T(z,u \ 1). T(x * ((x / y) / x),y) = y \ T(x,y \ 1). x != T(y,y / z) | x = T(y,z \ y). T(x,y \ 1) = T(x,(x * y) \ x). T(x,(x * y) \ x) = T(x,y \ 1). x * y != T(z,z / (z * u)) | x \ T(z,u \ 1) = y. x \ T(x,y \ 1) = K(x,(x / y) / x). K(x,(x / y) / x) = x \ T(x,y \ 1). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). x * y != T(z,z / (u * z)) | x \ T(z,u \ 1) = y. x \ T(y,x \ 1) = y * ((x \ y) / y). T(x,x \ y) = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = T(x,x \ y). T(T(x,y \ 1),x * y) = x. T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). x != T(y,(z \ y) \ 1) | x = K(y \ z,y) \ y. x * K(x,y / x) = K(x \ y,x) \ x. K(x \ y,x) \ x = x * K(x,y / x). T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). x \ (y \ T(x,y \ 1)) = (y \ x) / x. (x / y) \ T(x,(x / y) \ 1) = x * (y / x). x \ T(y,x \ 1) = y * R(1 / x,x,x \ y). x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). ((x \ T(y,x \ 1)) * y) / (x \ y) = R(y,(x \ y) / y,y). R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). (x \ T(y,x \ 1)) * y = (x \ y) * T(y,y \ (x \ y)). (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. K(x \ y,x) \ 1 = K(x,y / x). K(x,y) \ 1 = K(y,(y * x) / y). K(x,(x * y) / x) = K(y,x) \ 1. K(x,y) = K(T(y,x),x) \ 1. K(T(x,y),y) \ 1 = K(y,x). K(T(x,y),y) * K(y,x) = 1. K(x,y) \ 1 = K(T(y,x),x). K(T(x,y),y) = K(y,x) \ 1. K(x,y) \ x = x * K(T(y,x),x). x * K(T(y,x),x) = K(x,y) \ x. K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. x != K(y,z) \ 1 | x = K(z,(z * y) / z). K(T(x,y),y) = K(x,(x * y) / x). x != K(T(y,z),z) \ 1 | x = K(z,y). K(T(x,T(y,x)),T(y,x)) = K(x,y). K(T(x,y),y) * z = K(x,(x * y) / x) * z. K(T(x,y),T(y,x)) = K(x,y). K(x \ y,x) \ 1 != z | K(x,y / x) = z. K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). x != y * ((z * (y \ 1)) / z) | x = (z * ((y \ z) / z)) / (y \ z). x \ T(x,y \ 1) = (x * ((y \ x) / x)) / (y \ x). (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). T((x * y) / x,T(x,y)) = L(R(y,z,y),z,y). ((x * (1 / y)) / x) * y = T(x,y \ 1) / x. T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. K(x,(x * y) / x) * (K(T(x,y),y) \ z) = z. ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). T(x \ T(x * y,y),T(x * y,y)) = L(R(y,z,y),z,y). (K(x,y) \ 1) * (K(T(y,x),x) \ z) = z. K(T(x,y),y) != z | K(y,x) \ 1 = z. x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). x * y != T(x * z,x \ 1) | y = ((x \ 1) \ z) * (x \ 1). (x * y) * (y / (x * y)) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). x != K(y,(y / z) / y) | x = y \ T(y,z \ 1). T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. x != (((y \ 1) \ 1) \ z) * ((y \ 1) \ 1) | x = (y \ z) * y. ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. x * y != ((z \ 1) * u) * R(z,z \ 1,u) | ((z \ u) * z) / y = x. ((x \ y) * x) / y = ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1). ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. x != L(R(y,z,y),z,y) | x = y. T(x \ T(x * y,y),T(x * y,y)) = y. K(x,y) = K(x,x \ T(x * y,y)). K(x,x \ T(x * y,y)) = K(x,y). x != K(y,y \ T(y * z,z)) | x = (y * R(z,y,z)) \ T(y * z,z). K(x,y) = (x * R(y,x,y)) \ T(x * y,y). K(x,y) = T(y * x,y) \ T(x * y,y). x != T(y * z,y) \ T(z * y,y) | x = K(y \ T(y * z,y),y). K(x,y) = K(y \ T(y * x,y),y). K(x \ T(x * y,x),x) = K(y,x). K(x \ T(y,x),x) = K(x \ y,x). K(x \ (y \ x),x) = K(y \ 1,x). K(x \ (y / (x \ 1)),x) = K(y,x). K(x \ y,x) = K((x / y) \ 1,x). K((x / y) \ 1,x) = K(x \ y,x). K(x \ y,x) = K(y * (x \ 1),x). K(x * (y \ 1),y) = K(y \ x,y). x != K(y * (z \ 1),z) | x = K(y * (1 / z),z). K(x \ y,x) = K(y * (1 / x),x). K(x * (1 / y),y) = K(y \ x,y). x * K(x * (y \ 1),y) = (y \ x) * y. K(((x * y) / x) \ x,y) = K(y \ x,y). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). x * K(y \ 1,y * x) = ((y * x) \ x) * (y * x). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). x * K(x * y,y \ 1) = ((y \ 1) \ x) * (y \ 1). ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). x != R(y,z / y,y) | x = R(y,y \ z,y). ((x \ T(y,x \ 1)) * y) / (x \ y) = R(y,y \ (x \ y),y). R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). x != ((y \ (z / (1 / u))) * y) * (1 / u) | x = y * (T((y \ z) * u,y) / u). ((x \ (y * z)) * x) / z = x * (T((x \ y) * z,x) / z). x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. x != ((1 / y) \ z) * (1 / y) | x = ((y \ 1) \ z) * (y \ 1). T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(y,((x \ 1) \ y) / y). K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). x != ((1 / y) \ z) \ ((1 / y) \ T(z,y)) | x = K(y \ ((y \ 1) \ z),y). K(x,((y \ 1) \ x) / x) = K(y \ ((y \ 1) \ x),y). K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. x != ((y * z) / y) * (z \ 1) | x = y \ T(y,z). ((x \ y) * x) / y = ((x \ 1) * y) \ T((x \ 1) * y,x). ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. x != ((y \ 1) * z) \ T((y \ 1) * z,y) | x = L(K(y \ z,y),z,y \ 1). ((x \ y) * x) / y = L(K(x \ y,x),y,x \ 1). L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. L(K(x,y),y * x,y \ 1) = ((y \ (y * x)) * y) / (y * x). ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). (x * y) / (y * x) = L(K(x,y),y * x,y \ 1). L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). x != L(y,z,z \ 1) \ ((1 / z) * (y * z)) | x = L(K(y,z),z * y,z \ 1). T(x,(1 / x) * (y * x)) \ x = L(K(y,x),x * y,x \ 1). L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. x != L(K(y,z),z * y,z \ 1) | x = (y * z) / (z * y). T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). T(x,y) \ x = (y * x) / (x * y). (x * y) / (y * x) = T(y,x) \ y. x / (y * (x / y)) = T(y,x / y) \ y. T(x,y / x) \ x = y / (x * (y / x)). (T(x,y) \ x) * (x * y) = y * x. (x * (y / x)) / y = T(y / x,x) \ (y / x). T(x / y,y) \ (x / y) = (y * (x / y)) / x. (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. T(T(x,y) \ x,x * y) = K(y,x). K(x,y) = T(T(y,x) \ y,y * x). K(x,y) = T(x \ T(x,y),y * x). x != T(y \ T(y,z \ 1),u) | x = y \ T(y,T(z,u) \ 1). K(x,y \ 1) = x \ T(x,T(y,(y \ 1) * x) \ 1). x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). x != T(y,z / y) \ y | x = y \ (z / (z / y)). x / (y * (x / y)) = y \ (x / (x / y)). (x \ y) \ (y / x) = (x * (y / x)) / y. (x * (y / x)) / y = (x \ y) \ (y / x). x != (y \ z) \ (z / y) | x = y \ ((y \ z) \ z). (x * (y / x)) / y = x \ ((x \ y) \ y). x != (y * ((z \ y) / y)) / (z \ y) | x = y \ T(y,z \ 1). x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). x * K(x,y \ 1) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). K(x,(y \ x) / x) = K(x,y \ 1). x != K(y,((z \ 1) \ y) / y) | x = K(z \ ((z \ 1) \ y),z). K(x,(y \ 1) \ 1) = K(y \ ((y \ 1) \ x),y). K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). x != K(y,(z \ 1) \ 1) | x = K(y,z). K(x \ ((x \ 1) \ y),x) = K(y,x). x != K(y \ ((y \ 1) \ z),y) | x = K(y \ ((1 / y) \ z),y). K(x,y) = K(y \ ((1 / y) \ x),y). K(x \ ((1 / x) \ y),x) = K(y,x). x != K(y \ z,y) | x = K((y / z) \ 1,y). K(x,y) = K((y / ((1 / y) \ x)) \ 1,y). K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). K(x \ y,x) = K((1 / x) * y,x). K((1 / x) * y,x) = K(x \ y,x). K((1 / x) * (y * x),x) = K(T(y,x),x). K(x * y,x \ 1) = K((x \ 1) \ y,x \ 1). K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). x != K((y \ 1) \ z,y \ 1) | x = K(z * y,y \ 1). K(x * y,x \ 1) = K(y * x,x \ 1). K(x * y,y \ 1) = K(y * x,y \ 1). (((x \ 1) \ y) * (x \ (1 / x))) * x = y * K(x * y,x \ 1). x != K(T((1 / y) * z,y),y) | x = K(T((y \ 1) * z,y),y). K(T(x \ y,x),x) = K(T((x \ 1) * y,x),x). K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). K(x,x \ y) = K(x,(x \ 1) * y). K(x,(x \ 1) * y) = K(x,x \ y). x != K(y \ 1,((y \ 1) \ 1) * z) | x = K(y \ 1,y * z). K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). T(x,y \ 1) = T(x,x \ (y \ x)). T(x,x \ (y \ x)) = T(x,y \ 1). T(x,x \ y) = T(x,(x / y) \ 1). T(x,(x / y) \ 1) = T(x,x \ y). x \ T(y,z \ 1) = x \ ((y \ (z \ y)) \ (z \ y)). x \ ((y \ (z \ y)) \ (z \ y)) = x \ T(y,z \ 1). T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). (x \ y) * T(y,x \ 1) = (x \ T(y,x \ 1)) * y. (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). (x / y) \ T(x,x \ y) = x * (y / x). (x / (y * x)) \ T(x,x \ (y * x)) = x * y. (x / (y * x)) \ T(x,T(y,x)) = x * y. (x / (y * x)) \ T(x,y) = x * y. (x / (y * x)) * (x * y) = T(x,y). T(x,y) = (x / (y * x)) * (x * y). x * y != (z / (u * z)) * (z * u) | T(z,u) / y = x. T(x,y) / (x * y) = R(1 / y,y,x). R(1 / x,x,T(y,x)) = R(1 / x,x,y). R(1 / x,x,x \ y) = R(1 / x,x,y / x). R(1 / x,x,y / x) = R(1 / x,x,x \ y). R(1 / x,x,x \ y) \ (y / x) = x * (y / x). ((x \ y) / y) * (x * (y / x)) = y / x. T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). ((x * (y * (1 / x))) / x) * x = y * K(x * y,x \ 1). x * K(y * x,y \ 1) = y * (x * (1 / y)). x != K(y,y \ 1) * ((z * u) / (K(y,y \ 1) * u)) | x = R(z,K(y,y \ 1),u). R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). R(x,y,K(z,z \ 1)) = R(x,K(z,z \ 1),y). R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,(y \ 1) \ 1)). R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). R(x,y,K(z \ 1,z)) = R(x,K(z \ 1,z),y). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). (((x / y) \ x) * x) \ (((x / y) \ 1) * z) = (1 / (y * x)) / (z \ (x / y)). (x * y) \ (((y / x) \ 1) * z) = (1 / (x * y)) / (z \ (y / x)). (1 / (x * y)) / (z \ (y / x)) = (x * y) \ (((y / x) \ 1) * z). (1 / (x * y)) / (z \ (y / x)) = (x * y) \ ((x * (y \ 1)) * z). (x * y) \ ((x * (y \ 1)) * z) != u | 1 / ((z \ (y / x)) * (x * y)) = u. (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. x != ((y * z) / u) * T(((y * z) / u) \ y,w) | x = (y * (z * T(z \ u,w))) / u. x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. x * K(y \ x,y) = (x * ((y \ x) * y)) / x. (x * ((y \ x) * y)) / x = x * K(y \ x,y). T(x,(y \ x) * y) = x. ((x \ y) * x) * (y \ 1) = K(x \ y,x). ((x \ y) * x) / y != z | (1 / y) * ((x \ y) * x) = z. (x * y) * ((y * x) \ 1) = K(y \ (y * x),y). K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). (x * y) * ((y * x) \ 1) = K(x,y). K(x,y) = (x * y) * ((y * x) \ 1). ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). ((x * (y \ 1)) * (x \ 1)) \ (((y / x) \ 1) * z) = (x * (y * (1 / x))) / (z \ (y / x)). T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. (x \ y) * (1 / y) = (x \ ((y \ 1) \ 1)) * (y \ 1). (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). x != (y \ (z \ 1)) * z | x = (y \ z) * (1 / z). (x \ y) * (1 / y) = (x \ (y \ 1)) * (1 / (y \ 1)). (x \ (y \ 1)) * (1 / (y \ 1)) = (x \ y) * (1 / y). x * y != (z \ (u \ 1)) * (1 / (u \ 1)) | x \ ((z \ u) * (1 / u)) = y. (x * y) \ ((y \ x) * (1 / x)) = (x * (y * (x * y))) \ (1 / (x \ 1)). (x * (y * (x * y))) \ (1 / (x \ 1)) = (x * y) \ ((y \ x) * (1 / x)). T(x \ 1,y \ 1) \ (((x / y) \ 1) * z) = (y * (x * (1 / y))) / (z \ (x / y)). T(x \ 1,y \ 1) \ ((y * (x \ 1)) * z) = (y * (x * (1 / y))) / (z \ (x / y)). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,K(z \ 1,z) * u) = L(x,y,u). L(x,y,z * (u \ 1)) = L(x,y,z * (1 / u)). L(x,y,z * (1 / u)) = L(x,y,z * (u \ 1)). L(x,y,z * u) = L(x,y,z * ((u \ 1) \ 1)). L(x,y,z * ((u \ 1) \ 1)) = L(x,y,z * u). L(x,y,z * u) = L(x,y,((z \ 1) \ 1) * u). L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). L(x,y,(z \ u) * (1 / u)) = L(x,y,z \ 1). L(x,y,z / (z \ u)) = L(x,y,z * (u \ z)). L(x,y,T(z * u,u \ 1)) = L(x,y,u * z). K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). x != K((y / z) \ 1,y / z) | x = K(y \ z,z \ y). K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x != (y \ ((z \ 1) \ 1)) * K(z \ 1,z) | x = y \ z. x / T(y,y \ T(x,x \ 1)) = y \ x. (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). x != (1 / (1 / y)) / T(z,z \ y) | x = K(y \ 1,y) * (z \ y). x \ (1 / (1 / y)) = K(y \ 1,y) * (x \ y). K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. x != K(y,y \ 1) * ((z \ (1 / (1 / y))) * z) | x = y * K(z \ (1 / (1 / y)),z). (x \ y) * x = y * K(x \ (1 / (1 / y)),x). x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. x != ((y \ z) * y) * (z \ 1) | x = K(y \ z,y). ((x \ y) * x) / y = K(x \ y,x). (1 / x) * ((y \ x) * y) = K(y \ x,y). K(x \ y,x) * y = (x \ y) * x. T(x,K(y \ x,y)) = x. T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). T(x * y,K(y,x)) = x * y. K(x,y) \ (x * y) = y * x. (x * y) / (y * x) = K(x,y). K(x,y) = (x * y) / (y * x). K(x,y) * (y * x) = x * y. x != (y * z) / (z * y) | x = T(z,y) \ z. K(x,y) = T(y,x) \ y. x != T(y,z \ 1) \ y | x = K(y \ (y / z),y). K(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = K(y \ 1,x). x != T(y,z) \ y | x = ((y * z) / y) \ z. K(x,y) = ((y * x) / y) \ x. x != T(y,z) \ y | x = (1 / T(y,z)) * y. K(x,y) = (1 / T(y,x)) * y. x != T(y,z) \ y | x = y / T(y,z). K(x,y) = y / T(y,x). K(x,y) = y * (T(y,x) \ 1). x != y \ (z \ 1) | x = (z * y) \ 1. K(x,y \ 1) = (y * T(y \ 1,x)) \ 1. (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). x != T(y,y \ z) \ y | x = y \ (z / (z / y)). K(x \ y,x) = x \ (y / (y / x)). x \ (y / (y / x)) = K(x \ y,x). x != T(y,z \ 1) \ y | x = z * T(z \ 1,y). K(x \ 1,y) = x * T(x \ 1,y). x * T(x \ 1,y) = K(x \ 1,y). x != T(y,z) \ y | x = z \ T(z,y). K(x,y) = x \ T(x,y). x != T(y,T(z,y)) \ y | x = z \ T(z,y). K(T(x,y),y) = x \ T(x,y). x * y != T(z,u) \ z | K(u,z) / y = x. K(x,y) / y = 1 / T(y,x). x * y != T(z,u) \ z | x \ K(u,z) = y. (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). T(x,y) * K(y,x) = x. K(x,L(y,z,u)) = L(T(y,x),z,u) \ L(y,z,u). L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). K(x,R(y,z,u)) = R(T(y,x),z,u) \ R(y,z,u). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). x / K(y,x) = T(x,y). T(x,y) = x / K(y,x). K(x,y) * T(y,x) = y. K(x,y) \ y = T(y,x). T(x,y) = K(y,x) \ x. (K(x,y) / y) \ 1 = T(y,x). T(x,y) = (K(y,x) / x) \ 1. K(x * (1 / y),x) = T(x,y \ x) \ x. (x \ 1) * K(y,x) = T(x,y) \ 1. ((x * y) / x) * K(y,x) = y. K(x,y) * ((y * x) / y) = x. (x * y) / x = y * K(x,y). T(x * K(y,x),y) = x. x / (x / y) = y * K(y \ x,y). x \ (y * K(x,y)) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ (x * K(y,x)). K(x \ 1,y) != z | x * T(x \ 1,y) = z. T(K(x \ 1,y),z) = K(y \ (y / T(x,z)),y). K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). x * y != z \ T(z,u) | T(x,y) = y \ K(z,u). T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). x != y \ T(y,L(z,u,w) \ 1) | x = L(y \ T(y,z \ 1),u,w). K(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u). L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). x != y \ T(y,z) | x = ((y * z) / y) / z. K(x,y) = ((x * y) / x) / y. x != y \ T(y,z \ 1) | x = z * ((y * (z \ 1)) / y). K(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = K(y,x \ 1). x != y \ T(y,z) | x = z \ ((y * z) / y). K(x,y) = y \ ((x * y) / x). x != y \ T(y,z) | x = (1 / y) * T((1 / y) \ 1,z). K(x,y) = (1 / x) * T((1 / x) \ 1,y). x != y \ T(y,z) | x = (1 / y) * T(y,z). K(x,y) = (1 / x) * T(x,y). x != y \ T(y,z) | x = T(y,z) / y. K(x,y) = T(x,y) / x. x != y \ T(y,z) | x = T(y,z) * (y \ 1). K(x,y) = T(x,y) * (x \ 1). x * y != z \ T(z,u) | x \ K(z,u) = y. T(x,y) \ K(x,y) = x \ 1. x * K(x,y) = T(x,y). T(x,y) = x * K(x,y). K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). T(x,y) / K(x,y) = x. x * K(y,z) != T(y,z) | x = y. x * K(x,y) != z | z = T(x,y). x * K(x,y) != z | T(x,y) = z. L(K(x,y),x,z) = (z * x) \ (z * T(x,y)). (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). K(x,y) * x = T(x,y). T(x,y) = K(x,y) * x. K(x,y) * x != z | T(x,y) = z. (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). K(x \ (y * z),z \ (y \ x)) = (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1). (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). (x * K(y,x)) * y = y * x. T(x,y) * K(y,T(x,y)) = x. K(x,y) * y = (x * y) / x. (x * y) / x = K(x,y) * y. (x \ y) * K(x,x \ y) = y / x. T(x,y) \ x != z | z = K(y,x). T(x,y) \ x != z | K(y,x) = z. L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. x != y * T(x,z) | K(z,x) = y. x * T(y,z) != y | K(z,y) = x. T(1 / (1 / x),y) = (1 / (1 / x)) / K(y,x). (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). K(x,y / x) * (x \ y) = y / x. x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. x != K(y,z) \ z | x = 1 / (z \ K(y,z)). T(x,y) = 1 / (x \ K(y,x)). K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). T(x,y) = T(T(x * K(z,x),y),z). T(T(x * K(y,x),z),y) = T(x,z). (x * K(y,x)) \ (y * x) = y. (x * y) / x != z | z = y * K(x,y). (x * y) / x != z | y * K(x,y) = z. x * T(y,z) = T(y * K(x,y),z) * x. T(x * K(y,x),z) * y = y * T(x,z). (x * T(y,z)) / x = T(y * K(x,y),z). T(x * K(y,x),z) = (y * T(x,z)) / y. x * L(y,z,u) = L(y * K(x,y),z,u) * x. L(x * K(y,x),z,u) * y = y * L(x,z,u). x * R(y,z,u) = R(y * K(x,y),z,u) * x. R(x * K(y,x),z,u) * y = y * R(x,z,u). x * T(T(y,z),u) = T(T(y * K(x,y),z),u) * x. T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). (x * y) * R(z,x,y) = ((z * K(x * y,z)) * x) * y. ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). (1 / (x * K(y,x))) * L(x,z,u) = L(T(x * K(y,x),y),z,u) / (x * K(y,x)). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). T(x,L(y,z,u)) = T(x,L(y * K(x,y),z,u)). T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). T(K(x,y) * y,x) = y. T(x \ K(y,x \ 1),y) = x \ 1. T(K(x,y \ 1) / y,x) = 1 / y. x != T(y,z \ 1) / y | x = ((y * (1 / z)) / y) * z. K(x,y \ 1) = ((x * (1 / y)) / x) * y. ((x * (1 / y)) / x) * y = K(x,y \ 1). x != T(y,z) | x = T(y,T(z,T(y,u))). x * K(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = x * K(x,y). T(x,y) != x * z | K(x,y) = z. R(x,y,K(y,z)) = ((x * y) * K(y,z)) / T(y,z). ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). x \ T(x,y) != z | z = K(x,y). x \ T(x,y) != z | K(x,y) = z. (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. T(1 / x,y) = (1 / x) * K(x \ 1,y). (1 / x) * K(x \ 1,y) = T(1 / x,y). (x \ y) \ y = K(x,y / x) * x. K(x / y,x) \ ((1 / y) * x) = x / y. T(T(x,y),z) = K(T(x,z),y) * T(x,z). K(T(x,y),z) * T(x,y) = T(T(x,z),y). K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). x * (K(y,x) * y) = y * x. T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. T(x,y) != z | x * K(x,y) = z. (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). x != ((y * z) / y) \ z | x = z * (((y * z) / y) \ 1). K(x,y) = x * (((y * x) / y) \ 1). x * y != ((z * u) / z) \ u | x \ K(u,z) = y. x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). K(x \ y,x) = T(x \ 1,y) * x. T(x \ 1,y) * x = K(x \ y,x). L(T(x,y) \ 1,x,z) = (z * x) \ (z * K(y,x)). (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). x \ (y * K(z,y \ x)) = L(T(y \ x,z) \ 1,y \ x,y). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). K(x \ y,y \ x) = (y \ x) * ((1 / x) * y). (x \ y) * ((1 / y) * x) = K(y \ x,x \ y). x != y \ T(y,z) | x = K(y,z). K(T(x,y),y) = K(x,y). x * K(T(x,y),y) = T(x,y). K(x,y) \ 1 = K(y,x). K(x,y / x) = K(x,x \ y). K(x,y) = K(x,T(y,x)). K(x,T(y,x)) = K(x,y). K(x \ (y * x),x) = K(y,x). K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K(T(x,y),y * x) = K(R(x,y,x),y * x). K(R(x,y,x),y * x) = K(T(x,y),y * x). K(x \ y,y) = K(y * (x \ 1),y). K(x * (y \ 1),x) = K(y \ x,x). K(x,x \ y) = K(y / (y / x),x \ y). K(x / (x / y),y \ x) = K(y,y \ x). K(x \ (y * T(x,z)),x) = K((y / x) * T(x,z),x). K(x,y) * K(y,x) = 1. x * K(y,x) = K(x,y) \ x. K(x,y) \ x = x * K(y,x). K(x,y) \ 1 != z | K(y,x) = z. K(x,T(y,x)) != z | K(x,y) = z. K(x,y) != z | K(y,x) \ 1 = z. K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). 1 / K(x,y) = K(y,x). (x \ K(y,z)) \ (x \ 1) = K(z,y). x * y != K(z,u) \ 1 | x \ K(u,z) = y. x \ K(y,z) = (K(z,y) * x) \ 1. (K(x,y) * z) \ 1 = z \ K(y,x). (x \ K(y,z)) * K(z,y) = x \ 1. (K(x,y) / z) \ 1 = z * K(y,x). 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. 1 / (x * K(y,z)) = K(z,y) / x. x \ K(y,z) != u | (K(z,y) * x) \ 1 = u. 1 / (x * (y * K(z,u))) = (K(u,z) / y) / x. x / (y \ K(z,u)) = (1 / x) \ (K(u,z) * y). (1 / x) \ (K(y,z) * u) = x / (u \ K(z,y)). x / (y * K(z,u)) = (1 / x) \ (K(u,z) / y). (1 / x) \ (K(y,z) / u) = x / (u * K(z,y)). (x * K(y,z)) \ K(z,y) = K(z,y) * (x \ K(z,y)). T(K(x,y),z) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = T(K(y,x),z). (x * K(y,x)) \ 1 = x \ K(x,y). K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). K(x,R(x \ y,z,u)) = K(x,R(y / x,z,u)). K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). K(x,y) = K(x,T(y,x \ y)). K(x,T(y,x \ y)) = K(x,y). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). 1 != K(x,y) * z | K(y,x) = z. K(x,y) * z != 1 | K(y,x) = z. (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. K(x,y) \ (1 / z) != u | K(y,x) / z = u. K(x,y) \ z != u | K(y,x) / (z \ 1) = u. T(K(x,y) \ z,K(y,x)) = z * K(y,x). T(x,K(y,z)) = (K(z,y) * x) * K(y,z). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). T(K(x,y) \ z,K(y,x)) != u | z * K(y,x) = u. ((x \ 1) \ 1) * K(y,z) = 1 / (K(z,y) / x). (K(x,y) * z) \ z != u | T(K(y,x),z) = u. K(x,y) * ((z / K(y,x)) \ u) = ((K(y,x) / u) * z) \ K(y,x). ((K(x,y) / z) * u) \ K(x,y) = K(y,x) * ((u / K(x,y)) \ z). T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. 1 / (x \ K(y,x)) != z | z = T(x,y). 1 / (x \ K(y,x)) != z | T(x,y) = z. T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). (x / y) * K(y \ x,y) = y \ x. x / ((y * x) / y) = K(x,y). K(x,y) = x / ((y * x) / y). K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). T(x,y * x) * T(y,x) = (y * x) * K(T(x,y),y * x). (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). T(x,y \ x) = x * K(y,x). (1 / x) \ (y / (y * x)) = K(y,1 / x). x * y != z * K(u,z) | x \ ((u * z) / u) = y. T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). x * ((y * z) / y) = x * (z * K(y,z)). T(x * K(y,x),y) != z | z = x. ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). R(x,y,x) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,x). L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. T(x * K(x \ y,x),y) = L(x,x \ y,x). T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). T(x,y) * y = x * (y * K(x,y)). x * (y * K(x,y)) = T(x,y) * y. (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). L(x,y,x) = (y * K(x,y)) \ ((x * (y * x)) / x). (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). ((x * y) / x) / y != z | K(x,y) = z. K(x,x \ y) = (y / x) / (x \ y). (x / y) / (y \ x) = K(y,y \ x). K(1 / (x * y),x) = ((1 / y) / (1 / (x * y))) / x. ((1 / x) / (1 / (y * x))) / y = K(1 / (y * x),y). K(x,(y * z) / y) = ((y * ((x * z) / x)) / y) / ((y * z) / y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). K((x * y) * z,(y * z) \ (x \ 1)) = (T(a(x,y,z),(y * z) \ (x \ 1)) / ((x * y) * z)) / ((y * z) \ (x \ 1)). (T(a(x,y,z),(y * z) \ (x \ 1)) / ((x * y) * z)) / ((y * z) \ (x \ 1)) = K((x * y) * z,(y * z) \ (x \ 1)). x * (y * K(z,y)) != u | x * ((z * y) / z) = u. K(x \ L(x,y,z),u) = (L(x,y,z) \ x) * T(x \ L(x,y,z),u). (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. K(x,x * y) = T(x,y * x) * (x \ 1). T(x,y * x) * (x \ 1) = K(x,x * y). K(K(x,y),z) = T(K(x,y),z) * K(y,x). T(K(x,y),z) * K(y,x) = K(K(x,y),z). T(x,y) * (x \ 1) != z | z = K(x,y). T(x,y) * (x \ 1) != z | K(x,y) = z. x * (y * R(z,u,w)) != (y * R(z,u,w)) * T(z,y) | x = R(z,y,R(z,u,w)). T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). x * (y * z) != (y * z) * T(z,y) | x = R(z,y,z). T(x,y) * K(y * x,T(x,y)) = R(x,y,x). ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. x != K(y,z / u) | x = K(y,(z \ 1) \ (u \ 1)). K(x,x \ y) = K(x,(y \ 1) \ (x \ 1)). K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). x * K(y,y \ x) = y * (x / y). x != K(y / z,z) | x = (z * (y / z)) \ y. K(x \ y,x) = (x * (y / x)) \ y. (x * (y / x)) \ y = K(x \ y,x). L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). x * y != T(x,z) | y = K(x,z). K(x,y) = K(y,x \ y). K(x,y \ x) = K(y,x). T(x,y \ x) != x * z | K(y,x) = z. K(x * y,y) = K(x,x * y). K(x,y) = K(x / y,x). K(x / y,x) = K(x,y). K((x * y) \ (z \ 1),y \ (x \ (z \ 1))) = K(a(z,x,y),(x * y) \ (z \ 1)). T(K(x,y),K(z,y)) = K(x,y). 1 / K(x,y) = K(x \ y,y). K(x \ y,y) = 1 / K(x,y). T(x / y,K(x,y)) = x / y. T(K(x,y),K(x,z)) = K(x,y). T(x,K(y,y * T(x,z))) = x. K(x,y) * K(z,y) = K(z,y) * K(x,y). x != 1 / K(y,z) | x = K(z,y). K(x \ y,y) = K(y,x). x != K(y,z) | x = K(y / z,y). K(x \ y,y) = K(y / x,y). K(x / y,x) = K(y \ x,x). x != K(y,z \ y) | x = K(z,y). K((x \ y) \ y,y) = K(x,y). x != K(y,z) | x = K(z,y \ z). K(x,y) = K(x,(y \ x) \ x). K(x,(y \ x) \ x) = K(x,y). x != K((y / z) \ y,u) | x = K(z,u). K(x,x / y) = K(y,x). K(x * y,x) = K(y,x * y). K(x,x / y) = K(x,y \ x). K(x,y) * (x / y) != z | (x / y) * K(x,y) = z. K(x,y) * K(x,z) = K(x,z) * K(x,y). T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). K(x * y,T(y,x)) = K(x * y,y). L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. K(x \ (x / y),x) != z | K(y \ 1,x) = z. L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. x \ L(T(x,y),y,x) != z | K(x,x * y) = z. (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. K(x,x \ (y * x)) != z | K(x,y) = z. K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. K(x \ y,y) != z | K(y,x) = z. K(a(x,y,z),(x * y) * z) != u | K((x * y) * z,x * (y * z)) = u. R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). x != K(y \ (y / (z / u)),y) | x = (z * T(z \ u,y)) / u. K((x / y) \ 1,z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K((x / y) \ 1,z). x != K(y \ (y / (z \ u)),y) | x = z \ (u * T(u \ z,y)). K((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). K((x / y) \ 1,z) * y = x * T(x \ y,z). x != y \ (z / (z / y)) | x = z / (y * (z / y)). K(x \ y,x) = y / (x * (y / x)). x / (y * (x / y)) = K(y \ x,y). x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. x * y != (z \ 1) * K(u,z) | (T(z,u) \ 1) / y = x. (T(1 / x,y) \ 1) / K(y,1 / x) = x. x != (y \ 1) * K(z,y \ 1) | x = y \ K(z,y \ 1). x / (x / (y \ 1)) = y \ K((y \ 1) \ x,y \ 1). x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). (x * K(x \ y,x)) * (y / x) = y. (x / y) * (y * K(y \ x,y)) = (y \ x) * y. T(x,y) / (T(x,y) / y) = y * K(y \ x,y). (x / y) \ K(y,y \ x) = (y \ x) \ 1. T(1 / x,R(x,y,z) \ x) = 1 / x. T(x,y * K(y,z)) = T(x,T(y,z)). T(x,T(y,T(x,z))) != u | T(x,y) = u. R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). (x / y) \ 1 = (y \ x) \ K(y \ x,y). (x \ y) \ K(x \ y,x) = (y / x) \ 1. T(x,x \ K(x,y)) = (x \ 1) \ 1. (L(x,y,x) * y) \ 1 = (y * x) \ K(y * x,x). (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. x != T(y \ 1,z) * y | x = y * T(1 / y,z). K(x \ y,x) = x * T(1 / x,y). x * T(1 / x,y) = K(x \ y,x). K(x * (y \ K(y,z)),x) = K(((z * y) / z) \ x,x). K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). (x \ K(y,z)) * (u * u) = ((K(z,y) * x) \ u) * u. ((K(x,y) * z) \ u) * u = (z \ K(y,x)) * (u * u). (x \ K(y,z)) * L(u,K(z,y) * x,K(z,y) * x) = (K(z,y) * x) \ u. T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). 1 / ((x * y) / x) = K(y,x) / y. K(x,y) / x = 1 / ((y * x) / y). (K(x,y) * z) * T(K(y,x),z) = z. x * ((K(y,z) * x) \ x) = K(z,y) * x. K(x,y) * (y \ K(y,x)) = y \ 1. T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). R(x,y,z * K(y,z)) = ((x * y) * (z * K(y,z))) / (T(y,z) * z). ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). (x * (y / x)) * K(x \ y,x) = y. K(x * y,x) = K(y * x,x). K(x * y,y) = K(y * x,y). K(x * y,y) != z | K(y * x,y) = z. x != K(y * (z \ 1),y) | x = K(z \ y,y). K((x \ 1) * y,y) = K(x \ y,y). T(x * K(x * y,x),y * x) = x. K(x \ y,x) * (x * (y / x)) = y. K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). x * y != K(z,x) | y = T(x,z) \ 1. T(1 / x,y) = T(x,x \ y) \ 1. T(x,x \ y) \ 1 = T(1 / x,y). x != 1 / ((y * z) / y) | x = (y / z) / y. K(x,y) / x = (y / x) / y. (K(x,y) / x) * y = y / x. x * y != ((z * u) * w) / a(z,u,w) | x \ (z * (u * w)) = y. (K(a(x,y,z),(x * y) * z) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. (K(x,y) * K(y,z)) * K(y,x) = K(y,z). (x \ 1) / (x \ K(x,y)) = K(y,x). (x \ 1) / (x \ K(x,y)) != z | z = K(y,x). (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. T(1 / x,y) = ((x \ y) \ y) \ 1. ((x \ y) \ y) \ 1 = T(1 / x,y). (x \ y) \ 1 = T(1 / (y / x),y). T(1 / (x / y),x) = (y \ x) \ 1. T(((x \ y) \ y) * z,(x \ y) \ y) = z / T(1 / x,y). L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / z) \ T(1 / y,z)) * x). x * ((y \ x) \ 1) = (1 / (x / y)) * x. (1 / (x / y)) * x = x * ((y \ x) \ 1). T(x * K(x * y,x),y) = R(x,y,x). T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). (1 / x) * R(T(1 / x,R(x,y,z) \ x) \ 1,u,w) = T((1 / x) * R((1 / x) \ 1,u,w),R(x,y,z) \ x). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. T(R(x,y,x),z) = T(T(x * K(x * y,x),z),y). T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). (x \ 1) \ K(y,x * K(y,x)) = T(x * K(y,x),(x * K(y,x)) \ 1). T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). x != T(y,z) \ y | x = K(z,y). K(x * (1 / y),x) = K(y \ x,x). K(x * (1 / y),x) != z | K(y \ x,x) = z. x != K(y \ z,z) | x = K(z / y,z). K(x * (1 / y),x) = K(x / y,x). x != K(y * z,y) | x = K(z * y,y). K(x \ y,y) = K((1 / x) * y,y). K((1 / x) * y,y) = K(x \ y,y). K(x * y,x) = K((y \ 1) \ x,x). K((x \ 1) \ y,y) = K(y * x,y). K(x,y \ 1) = K(x * y,x). K(x * y,x) = K(x,y \ 1). K(x,y \ 1) = K(y * x,x). K(x * y,y) = K(y,x \ 1). x != K(y * z,y) | x = K(z,y * z). K(x,y \ 1) = K(y,x * y). K(x,y) = K(y,(y \ x) \ 1). K(x,(x \ y) \ 1) = K(y,x). K(x * K(y,z),x) = K(x,K(z,y)). x != K(y * z,z) | x = K(y,y * z). K(x,y \ 1) = K(y,y * x). K(x,y \ 1) != z | K(x * y,x) = z. K(x \ 1,y * (x \ 1)) = K(y,x). T(x,y * x) = K(y,x \ 1) * x. K(x,y \ 1) * y = T(y,x * y). x != K(y,z \ 1) | x = K(z,y * z). K(x,x * y) = K(x,y * x). K(x,y * x) = K(x,x * y). K(x \ y,x \ 1) = K(x,y). K(x,y) = K(x,x * (y / x)). K(x,x * (y / x)) = K(x,y). K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). K(x,y * (1 / x)) = K(x,x \ y). K(x \ 1,y * x) = K(x \ 1,(x \ 1) \ y). K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). (x * K(y,x)) \ y = x \ (y * K(x,y)). K(x,y) / (1 / T(y,x)) = 1 / (1 / y). x != R(y,z,u) * ((w * (R(y,z,u) \ 1)) / w) | x = R(y * ((w * (y \ 1)) / w),z,u). K(x,R(y,z,u) \ 1) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). x != (y / z) * ((u * ((y / z) \ 1)) / u) | x = (y * ((u * (y \ z)) / u)) / z. K(x,(y / z) \ 1) = (y * ((x * (y \ z)) / x)) / z. (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. x * y != y * z | x = z * K(y,z). T(x * K(y,x),z) = T(x,z) * K(y,T(x,z)). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). T(x * K(y,x),z) = T((y * x) / y,z). T((x * y) / x,z) = T(y * K(x,y),z). x != ((y \ z) * T(z,y \ 1)) / (y \ z) | x = R(z,z \ (y \ z),z). T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). x != (y * z) / y | x = K(y,z) * z. T(x * K(y,x),z) = K(y,T(x,z)) * T(x,z). K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). x * y != (z * T(u,w)) / z | x \ T(u * K(z,u),w) = y. T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). T(T(x * K(y,x),z),y) != u | u = T(x,z). T(T(x * K(y,x),z),y) != u | T(x,z) = u. K(T(x,y),z) = T(x * K(z,x),y) \ T(x,y). T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. (x / (x * y)) * y = K(x,y \ 1). K(x \ y,y) \ ((1 / x) * y) = y / x. x / T(x,y \ 1) = K(y,1 / x). K(x \ 1,y) = K(x,1 / y). K(x,1 / y) != z | K(x \ 1,y) = z. K(x \ 1,y) = K(x,y \ 1). K(x \ 1,y \ 1) = K(x,y). K(x \ 1,y) != z | K(x,y \ 1) = z. K(x \ 1,K(y,z)) = K(x,K(z,y)). x != K(y \ 1,z) | x = K(1 / y,z). K(x,y \ 1) = K(1 / x,y). K(1 / x,y) = K(x,y \ 1). K(1 / x,y \ 1) = K(x,y). x * y != K(z \ 1,u) | x \ K(z,u \ 1) = y. x \ K(x,y \ 1) = T(x \ 1,y). x \ K(y,x \ 1) = T(x,y \ 1) \ 1. T(x,y \ 1) \ 1 = x \ K(y,x \ 1). (1 / x) \ (y * K(z,z \ 1)) = x / (y \ K(z,z \ 1)). K(x,x \ 1) * (y * (1 / x)) = y * (x \ 1). K(x,x \ 1) * (y * K(x,x \ 1)) = y. K(x,x \ 1) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. T(x * ((y \ z) * (1 / z)),x) = (y * K(z,z \ 1)) \ x. x != K(y,z \ 1) | x = K(z,z * y). K(x,y) = K(y,y * (x \ 1)). K(x,x * (y \ 1)) = K(y,x). K(x * K(y,z),u \ 1) = K(K(z,y) / x,u). K(x,y \ 1) != z | K(x \ 1,y) = z. K(x,y) = K(y,(1 / x) * y). K(x,(1 / y) * x) = K(y,x). K(x,(1 / y) * x) = K(x,y \ x). x \ K(x,y \ (z \ 1)) = T(x \ 1,z * y). K(x,y * x) = K(x,(y \ 1) \ x). K(x,(y \ 1) \ x) = K(x,y * x). x != K(y,z * y) | x = K(y,y * z). K(x,(y \ 1) \ x) = K(x,x * y). K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). K(x,K(y,z)) != u | K(x \ 1,K(z,y)) = u. K(x \ (y \ 1),z) != u | K(y * x,z \ 1) = u. K(x,x * y) != z | K(x,y * x) = z. K(x,y \ 1) != z | K(y,x * y) = z. (T(1 / x,y) \ 1) / K(y,x \ 1) = x. (x \ y) \ K(x \ y,x) = x * (y \ 1). (x \ K(x,y)) * T(x,x \ 1) = K(x,y). x != (1 / (y / z)) * y | x = y \ (y / (1 / z)). x * ((y \ x) \ 1) = x \ (x / (1 / y)). x \ (x / (1 / y)) = x * ((y \ x) \ 1). (x * ((y \ x) \ 1)) \ 1 = x \ (x / y). (x \ (x / (y \ 1))) / (y \ 1) = (x * ((y \ x) \ 1)) * y. K(x,y) / (K(x,y) / y) = 1 / (1 / y). ((K(x,y \ 1) \ 1) \ y) * (1 / y) = y * (((T(y,x \ 1) \ 1) \ 1) \ 1). (K(x,x \ 1) / y) * (z * K(x,x \ 1)) = (1 / y) * z. x * K(y,x \ 1) = T(1 / x,y) \ 1. T(1 / x,y) \ 1 = x * K(y,x \ 1). (x * y) \ ((x * y) / (1 / x)) = (x * y) * (y \ 1). x * L(y / (1 / (y \ x)),y \ x,y) = ((y * ((x \ y) \ 1)) * y) * (y \ x). ((x \ y) \ 1) \ (y \ 1) = y \ (y / x). ((x \ (y / z)) \ 1) \ (z * (y \ 1)) = (y / z) \ ((y / z) / x). T(x,y) * K(x * y,x) = R(x,y,x). K(x * y,x) * T(x,y) = R(x,y,x). L(K(x * y,x),T(x,y),z) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. K(x / y,x) != z | K(y \ x,x) = z. K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). K(T(1 / x,y) \ 1,z) = T(K(x,z),y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). K(x * K(y,x \ 1),z) = T(K(x,z),y). K((x \ y) \ y,z) = T(K(x,z),y). K(x \ y,z) = T(K(y / x,z),y). T(K(x / y,z),x) = K(y \ x,z). K((x \ 1) \ 1,y) != z | z = K(x,y). K((x \ 1) \ 1,y) != z | K(x,y) = z. K(T(x,x \ y),z) = T(K(x,z),y). x != T(K(y,z),L(z,u,w)) | x = K(y,z). K(x \ L(y,z,u),y) = K(L(y,z,u) / x,y). K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). K(x \ 1,y) != z | z = K(1 / x,y). K(x \ 1,y) != z | K(1 / x,y) = z. K((x \ (y \ 1)) \ 1,z) != u | K(y * x,z) = u. K(x \ 1,K(y,z)) != u | K(x,K(z,y)) = u. T(K(x,y),z) \ 1 != u | K(y,x * K(z,x \ 1)) = u. L(x * K(y,x),z,u) = L(x,z,u) * K(y,L(x,z,u)). L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). R(x * K(y,x),z,u) = R(x,z,u) * K(y,R(x,z,u)). R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). (K(x,y) / z) \ (K(u,w) / v5) = (z * K(y,x)) / (v5 * K(w,u)). (x * K(y,z)) / (u * K(w,v5)) = (K(z,y) / x) \ (K(v5,w) / u). x != K((y * z) \ 1,u) | x = K(z \ (y \ 1),u). ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). x * y != (z * L(u,w,v5)) / z | L(u * K(z,u),w,v5) / y = x. L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). K(L(x,y,z),u) = L(x * K(u,x),y,z) \ L(x,y,z). L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). K(L(x,y,z),u) = L(x,y,z) / L(x * K(u,x),y,z). L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. x * y != (z * R(u,w,v5)) / z | x \ R(u * K(z,u),w,v5) = y. R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). K(R(x,y,z),u) = R(x * K(u,x),y,z) \ R(x,y,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). (x \ T(x * y,z)) / y = K(((x \ 1) / y) \ 1,z). K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. x * y != z * T(z \ u,w) | (u * K((u \ z) \ 1,w)) / y = x. (x * K((x \ y) \ 1,z)) / y = T(x / y,z). x != (1 / y) * T((1 / y) \ (z / y),u) | x = T(z,u) / y. K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. x != K(y \ 1,(y \ 1) \ z) | x = K(y \ 1,y * z). K(x \ 1,y * x) = K(x \ 1,x * y). x * T(x \ 1,y * x) = K(x \ 1,x * y). ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). T(x,y) \ T(x * K(z,x),y) != u | u = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). (x * (y \ 1)) * (y \ 1) = (x * (1 / y)) * (1 / y). (x * (1 / y)) * (1 / y) = (x * (y \ 1)) * (y \ 1). x != T(y \ 1,y * z) | x = ((T(y,z) \ 1) \ 1) \ 1. x \ K(x,y \ (x \ 1)) = ((T(x,y) \ 1) \ 1) \ 1. ((T(x,y) \ 1) \ 1) \ 1 = x \ K(x,y \ (x \ 1)). x * y != K(x \ 1,z) | y = T(x \ 1,z). T(x \ 1,y * x) = T(x \ 1,x * y). x != T(y \ 1,y * z) | x = ((y \ 1) \ z) \ z. T(x \ 1,y * x) = ((x \ 1) \ y) \ y. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. R(x,y,z) \ R(x,y,z) = K(x \ R(x,u,w),R(x,y,z)). K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * L(T(x,u),y,z)). (x * (y * z)) \ ((x * y) * L(T(z,u),y,x)) = L(K(L(z,y,x),u),L(z,y,x),x * y). (x * y) \ T(x,y) = L(T(y,x) \ 1,y,x). L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). K(x \ (y * (z \ 1)),u) != w | K((z / y) * x,u \ 1) = w. T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y),z,u) = K(x,L(1 / y,z,u) \ 1). K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). K(x,(y \ z) \ 1) = L(K(x,z \ y),z \ y,z). L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). x != y * ((z / u) \ y) | x = (y * u) * (z \ y). ((x / y) * K(z,u)) \ K(u,z) = (K(u,z) * y) * (x \ K(u,z)). T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. (1 / ((1 / (x * y)) * y)) / x = K(1 / (x * y),x). R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). R(K(x,y),z,u) = K(R(1 / x,z,u) \ 1,y). K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). R(K(x,y),z,u) = K(R(x \ 1,z,u) \ 1,y). K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). R(R(K(x,y),z,u),w,v5) = K(R(R(1 / x,z,u),w,v5) \ 1,y). K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). R(K(x,y),z,u) \ 1 = K(y,R(x \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. x != y * ((z \ u) * T((z \ u) \ (y \ u),w)) | x = (y * T(y \ z,w)) * (z \ u). K((x * (y \ 1)) \ 1,z) = (x * T(x \ y,z)) * (y \ 1). (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. x \ K(x * y,x \ 1) = y / (y / (x \ 1)). (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). (x * y) \ (x * (y * x)) = (x * y) * (y \ 1). L(x,y,x) = (x * y) * (y \ 1). L(x,y,x) = L(x,y,y). L(x,y,y) = L(x,y,x). x * ((x \ 1) * y) = L(y,x,y). L(x,y,x) = y * ((y \ 1) * x). x != L(y,z,z) | x = L(y,y,z). L(x,y,x) = L(x,x,y). (x * y) * L(x,y,y) = x * (y * x). 1 / (x * (y * x)) = (y \ (y / x)) / (x * y). (x \ (x / y)) / (y * x) = 1 / (y * (x * y)). ((x \ (y / x)) \ ((x \ (y / x)) / x)) / (x * (x \ (y / x))) = 1 / (x * ((x \ 1) * y)). x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). x \ T(x * y,z) = y * K(x * y,z). x * (y * K(x * y,z)) = T(x * y,z). x * (y * K(x * y,z)) != u | u = T(x * y,z). x * (y * K(x * y,z)) != u | T(x * y,z) = u. x \ (((x * y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). x * y != T(x * z,x \ 1) | y = (x * z) * (z / (x * z)). x * K(y * x,y \ 1) = (y * x) * (x / (y * x)). (x * y) * (y / (x * y)) = y * K(x * y,x \ 1). x != (y * (1 / z)) * (1 / z) | x = (z * (1 / y)) \ (1 / z). (x * (y \ 1)) * (y \ 1) = (y * (1 / x)) \ (1 / y). (x * (1 / y)) \ (1 / x) = (y * (x \ 1)) * (x \ 1). x * (((T(x,y) \ 1) \ 1) \ 1) = K(x,y \ (x \ 1)). (1 / (1 / T(x,y))) / x = K(1 / (x * y),x). K(1 / (x * y),x) != z | 1 / (x * (1 / T(x,y))) = z. (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. x != y * ((z * (y \ u)) / z) | x = u * K(z,(u \ y) \ 1). K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). (x * y) * (y \ (y / x)) = y * K(x * y,x \ 1). x * (1 / T(x,y)) = K(x,y \ (x \ 1)). K(x,y \ (x \ 1)) = x * (1 / T(x,y)). K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). x != y * K(z * y,z \ 1) | x = z * (y * (1 / z)). (x * y) * (y \ (y / x)) = x * (y * (1 / x)). L(1 / x,y,x) = y \ (y / x). 1 / (x * (y * (1 / x))) = x * (1 / (x * y)). x != y \ (y / z) | x = L(1 / z,1 / z,y). L(1 / x,y,x) = L(1 / x,1 / x,y). L(1 / x,1 / x,y) = L(1 / x,y,x). x * L(1 / y,x,y) = x / y. L(1 / x,y,x) \ (1 / y) = ((y / x) \ y) * (1 / y). (x / y) / (L(1 / z,y,z) \ (1 / y)) = (y * (1 / x)) \ (y / z). x != L(1 / y,1 / y,z) | x = 1 / L(y,y,z). L(1 / x,y,x) = 1 / L(x,x,y). x * y != 1 / L(z,z,u) | L(1 / z,u,z) / y = x. L(1 / x,y,x) / z = 1 / (z * L(x,x,y)). (1 / (x / y)) * (y \ 1) = y * (1 / (y * x)). L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). x != T(y * K(z \ y,y),z \ 1) | x = R(y,z \ 1,y). R(x,x \ (y \ x),x) = R(x,y \ 1,x). (1 / (1 / x)) \ y != z | ((x \ 1) \ 1) \ y = z. R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). R(T(T(x,y),z * x),z,x) = T(T(x,y),z). 1 / (x * (1 / T(x,y))) = K(x * y,x \ 1). (T(x,y) \ 1) \ (1 / x) = K(x * y,x \ 1). x != y \ (1 / z) | x = ((z * y) \ z) * (1 / z). K(x * y,x \ 1) = ((x * (T(x,y) \ 1)) \ x) * (1 / x). ((x * (T(x,y) \ 1)) \ x) * (1 / x) = K(x * y,x \ 1). ((T(x,y) \ 1) * (T(x,y) \ 1)) * K(x * y,x \ 1) = ((T(x,y) \ 1) \ 1) \ (1 / x). x != ((y / z) \ y) * u | x = z * u. L(1 / x,y,x) \ (1 / y) = x * (1 / y). T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). ((1 / x) * y) \ ((z \ u) \ u) = (y \ x) / T(1 / z,u). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). R(K(x,y),z,u) = K(x,R(1 / y,z,u) \ 1). K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). x != K(y,R(z \ 1,u,w) \ 1) | x = R(K(z,y),u,w) \ 1. R(K(x,y),z,u) = R(K(y,x),z,u) \ 1. R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). (1 / x) \ (y * K(z,z \ 1)) = x / ((y \ z) * (1 / z)). ((x * K(y,y \ 1)) \ z) * ((x \ y) * (1 / y)) = ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))). (x * K(y,y \ 1)) \ (1 / z) != u | ((x \ y) * (1 / y)) / z = u. K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). L(x,y,y) / (x \ 1) = (y * ((x \ y) \ 1)) * x. (x * ((y \ x) \ 1)) * y = L(y,x,x) / (y \ 1). (x * ((y \ x) \ 1)) * y = (1 / L(y,x,x)) \ y. (x * ((y \ x) \ 1)) * y = (x \ (x / y)) \ y. (K(x,x \ 1) / y) * (K(x,x \ 1) * z) = (1 / y) * z. K(x \ 1,y) = T(K(x \ K(x,z),y),z). T(K(x \ K(x,y),z),y) = K(x \ 1,z). x * K(y \ 1,z) = K(y \ K(y,x),z) * x. K(x \ K(x,y),z) * y = y * K(x \ 1,z). K(x * y,T(x,z)) = K(y * x,T(x,z)). K(x * y,T(y,z)) = K(y * x,T(y,z)). x != y \ y | x = 1. K(x \ R(x,y,z),R(x,u,w)) = 1. K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. K(x \ R(x,y,z),R(x,u,w)) * v5 != 1 | 1 = v5. 1 = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = 1. (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),T(x,z)). x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. x * y != (1 / z) \ ((((1 / z) * x) \ 1) \ 1) | y = K(z \ x,x \ z). K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). K(x,y \ K(y,z)) * z = z * K(x,y \ 1). (K(x,y) \ y) * (1 / y) = K(y * x,y \ 1). T(x,y) * (1 / x) = K(x * y,x \ 1). K(x * y,x \ 1) = T(x,y) * (1 / x). x * y != T(z,u) * (1 / z) | x \ K(z * u,z \ 1) = y. T(x,y) \ K(x * y,x \ 1) = 1 / x. (1 / x) * ((1 / x) * (1 / K(x * y,x \ 1))) = 1 / (T(x,y) / (1 / x)). T(x,y) * (1 / x) != z | z = K(x * y,x \ 1). T(x,y) * (1 / x) != z | K(x * y,x \ 1) = z. (1 / x) * K(x \ 1,x * y) = T(x,y) \ 1. (1 / x) * K(x,(x * y) \ 1) = T(x,y) \ 1. (1 / x) * K(x,y \ (x \ 1)) = T(x,y) \ 1. ((x \ y) / T(1 / z,(1 / y) * x)) * (1 / ((1 / y) * x)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). (x * (1 / (y * x))) * (K(x,x \ 1) * z) = (1 / y) * z. x \ K(y \ z,z \ y) = (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1). (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1) = x \ K(y \ z,z \ y). (x * (1 / (y * x))) \ z = K(x,x \ 1) * ((1 / y) \ z). K(x,x \ 1) * ((1 / y) \ z) = (x * (1 / (y * x))) \ z. ((1 / x) \ y) * K(z,z \ 1) = (z * (1 / (x * z))) \ y. x != L(T(y \ z,u) \ 1,y \ z,y) | x = T(y \ z,u) \ T((y \ z) * (z \ y),u). x \ (y * K(z,y \ x)) = T(y \ x,z) \ T((y \ x) * (x \ y),z). T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. K(L(x,y,z) \ 1,u) = L(K(x \ 1,u),y,z). L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(K(K(x,y),z),u,w) = K(L(K(y,x),u,w) \ 1,z). K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). L(T(K(x,y),z),u,w) = K(L(T(1 / x,z),u,w) \ 1,y). K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). K(((x * y) \ x) \ 1,z) = L(K(y,z),y,x). L(K(x,y),x,z) = K(((z * x) \ z) \ 1,y). L(K(x,y),z,u) \ 1 = K(y,L(x \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. x != K(y,L(z \ 1,u,w) \ 1) | x = L(K(y,z),u,w). L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). x != L(K(y,z),u,w) \ 1 | x = 1 / L(K(y,z),u,w). L(K(x,y),z,u) = 1 / L(K(y,x),z,u). 1 / L(K(x,y),z,u) = L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | w = L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. T(L(x,x \ y,x),z) = L(T(x,z),x \ T(y,x),x). L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). R(L(T(x,y),x \ z,x),u,w) = L(R(T(x,y),u,w),x \ T(z,x),x). L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). (K(x,y \ 1) * z) * u != w * (z * u) | K(x,R(y,z,u) \ 1) = w. ((x * y) / R(x,y,x)) * x = (y * x) * K(R(x,y,x),y * x). (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). K((((x \ y) * z) / (y * z)) \ 1,u) = R(R(K(x,u),x,x \ y),y,z). R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. (1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z). K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). x * y != (1 / z) * (K(z,u) * w) | T(x,y) = y \ (K(z,u) * ((1 / z) * w)). T(1 / x,K(x,y) * z) = (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)). (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). x * y != (1 / z) * (K(z,u) * w) | (K(z,u) * ((1 / z) * w)) / y = x. (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). K(x,y) * (T(z,u) * K(y,x)) = T(K(x,y) * (z * K(y,x)),u). T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). (x * y) * K(T(y,x),x * y) = ((y * x) / R(y,x,y)) * y. ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). x != (y * z) * K(T(z,y),y * z) | x = T(z,y * z) * T(y,z). ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). (x / R(y,y \ x,y)) * y = T(y,(y \ x) * y) * T(y \ x,y). T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. (x / y) / (z * (1 / y)) = (y * (1 / x)) \ (y / z). T(x,y) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). x != T(y,z) * T(y \ z,y) | x = (y \ z) * T(y,z). (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). x != (y \ ((1 / z) * u)) * (((u \ z) \ 1) \ 1) | x = ((1 / z) * u) * ((((u \ z) / y) \ 1) \ 1). x \ K(y \ z,z \ y) = ((1 / y) * z) * ((((z \ y) / x) \ 1) \ 1). ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = z \ K(x \ y,y \ x). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). K(T(1 / x,K(x,y) * z) \ 1,u) = L(T(K(x,u),z),z,K(x,y)). L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). x != K(T(1 / y,z) \ 1,u) | x = T(K(y,u),z). L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). x != ((1 / y) * z) * ((((z \ y) / u) \ 1) \ 1) | x = K(z \ y,y \ z) * (u \ 1). x \ K(y \ z,z \ y) = K(z \ y,y \ z) * (x \ 1). K(x \ y,y \ x) * (z \ 1) = z \ K(y \ x,x \ y). R(x,y,L(x,z,u)) = T(x * K(y * L(x,z,u),x),y). T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). x != R(y * K(z,y),u,w) \ R(y,u,w) | x = K(R(y,u,w),z). K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). K(x \ (y * z),z \ (y \ x)) = K(x \ (y * z),(y * z) \ x). K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). x != K(y \ (z * u),(z * u) \ y) | x = K(((y / u) / z) \ 1,y / (z * u)). K(x \ (y * z),z \ (y \ x)) = K(((x / z) / y) \ 1,x / (y * z)). K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). x != K(((y / z) / u) \ 1,y / (u * z)) | x = K(((y / z) / u) \ 1,(y / z) / u). K(x \ (y * z),z \ (y \ x)) = K(((x / z) / y) \ 1,(x / z) / y). K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). K(x \ (y * z),z \ (y \ x)) = K((x / z) \ y,y \ (x / z)). K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). x != K(y \ (z * u),u \ (z \ y)) | x = K(y \ (z * u),(z * u) \ y). K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). K((x * y) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. x != ((y * K(z * u,y)) * z) * u | x = (z * u) * R(y,z,u). ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | u = a(z * K(x * y,z),x,y). ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. K(x * (y * z),(z \ (y \ (x \ 1))) \ 1) = K(a(x,y,z),(y * z) \ (x \ 1)). x * L(y / (1 / (y \ x)),y \ x,y) = ((x \ 1) \ y) * (y \ x). x * L(y / ((1 / x) * y),y \ x,y) = ((x \ 1) \ y) * (y \ x). x * L(y \ (y / (1 / x)),y \ x,y) = ((x \ 1) \ y) * (y \ x). x * L(y * ((x \ y) \ 1),y \ x,y) = ((x \ 1) \ y) * (y \ x). x * (y * ((x \ y) \ 1)) = ((x \ 1) \ y) * (y \ x). ((x \ 1) \ y) * (y \ x) = x * (y * ((x \ y) \ 1)). x != y * (z * ((y \ z) \ 1)) | x = (z \ (z / y)) \ y. ((x \ 1) \ y) * (y \ x) = (y \ (y / x)) \ x. T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). (x \ R(y,z,u)) * K((R(y,z,u) \ 1) \ 1,w) = x \ R(T(y,w),z,u). (x \ R(y,z,u)) * K(R(y,z,u),w) = x \ R(T(y,w),z,u). (x * (y * z)) \ (x * (y * T(z,u))) = L(K(L(z,y,x),u),L(z,y,x),x * y). L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))). (((x / y) * y) \ (x / y)) / (y * (y \ (x / y))) = 1 / (y * ((y \ 1) * x)). (x \ (x / y)) / (y * (y \ (x / y))) = 1 / (y * ((y \ 1) * x)). (x \ (x / y)) / (x / y) = 1 / (y * ((y \ 1) * x)). ((x / y) * x) \ (x / y) = 1 / (y * ((y \ 1) * x)). ((x / y) * x) \ (x / y) = 1 / L(x,y,y). ((x / y) * x) \ (x / y) != z | y \ (y / x) = z. (T(x,y) \ (1 / T(x,y))) * K(x * y,x \ 1) = ((T(x,y) \ 1) \ 1) \ (1 / x). ((T(x,y) \ 1) \ 1) \ (1 / x) = (T(x,y) \ 1) * (T(x,y) \ K(x * y,x \ 1)). (T(x,y) \ 1) * (T(x,y) \ K(x * y,x \ 1)) = ((T(x,y) \ 1) \ 1) \ (1 / x). (T(x,y) \ 1) * (1 / x) = ((T(x,y) \ 1) \ 1) \ (1 / x). ((T(x,y) \ 1) \ 1) \ (1 / x) = (T(x,y) \ 1) * (1 / x). (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). K(x,y) * (z * K(x,u)) = K(x,u) * (K(x,y) * T(z,K(x,u))). K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). K(x,y) * z = K(x,z) * (K(x,y) * T(z,x)). K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). x != R(y,z,u) * K(w,R(y,z,u)) | x = R(y * K(w,y),z,u). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). x != (y * (1 / (z * y))) * (K(y,y \ 1) * u) | x = (1 / z) * u. L(x,y * (1 / (z * y)),y * (1 / (z * y))) = (1 / z) * (z * x). x != (1 / y) * (y * z) | x = L(z,y,y). L(x,y * (1 / (z * y)),y * (1 / (z * y))) = L(x,z,z). L(a(x,y,z),x * (y * z),u \ ((y * z) \ (x \ 1))) = u / (((x * y) * z) \ ((x * (y * z)) * u)). (x * (1 / (y * x))) \ ((((y \ x) \ 1) \ 1) * z) = ((y \ 1) \ 1) / (z \ ((y \ x) \ 1)). ((x * ((y / z) / x)) * z) * (y \ u) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). x != (y * ((z / (u * (y \ z))) / y)) * (u * (y \ z)) | x = y * ((y \ T(y,u \ 1)) * (y \ z)). ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). T(x,y \ 1) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z). T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)). T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). T(x,y) * z = x * ((x \ T(x,y)) * z). x * ((x \ T(x,y)) * z) = T(x,y) * z. L(x,y \ T(y,z),y) = x. (T(x,y) * z) / ((x \ T(x,y)) * z) = x. x * (K(x,y) * z) = T(x,y) * z. L(x,y,y \ T(y,z)) = x. L(x,T(y,T(z,y)) \ y,z) = x. L(x,K(y,z),y) = x. x != y | x = L(y,z,K(u,u \ 1)). L(x,K(y,z),y) = L(x,u,K(w,w \ 1)). L(x,K(y,z),z) = x. L(x,K(y,z),1 / y) = x. K(x,y) * (1 / x) = K(x,y) / x. (x * K(y,x)) * z = x * (K(y,x) * z). L(x,y,K(y,z)) = x. L(x,y,K(y,z)) = 1 * x. (K(x,y) * x) * z = K(x,y) * (x * z). L(x,y,K(z,y)) = x. L(x,y / z,K(y,z)) = x. (K(x,y) * y) * z = K(x,y) * (y * z). (K(x,y) / x) * z = (1 / x) * (K(x,y) * z). (1 / x) * (K(x,y) * z) = (K(x,y) / x) * z. L(x,y,K(y,z)) != u | u = x. T(x,y) / y = K(x,y) * (x / y). K(x,y) * (x / y) = T(x,y) / y. L(x,y,K(z,y)) != u | u = x. L(x,T(y,z) \ y,(y * z) / y) = x. T(x,y) \ z = K(x,y) \ (x \ z). K(x,y) \ (x \ z) = T(x,y) \ z. x * y = T(x,z) * (K(x,z) \ y). T(x,y) * (K(x,y) \ z) = x * z. x != T(y,z) * L(y \ K(z,y),u,w) | x = T(y * L(y \ 1,u,w),z). x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). x * y != T(z,u) * K(z * u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = x \ R(x,y,x). x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. (x / y) * z != T(x / y,u) * x | z = y * T(y \ x,u). K(x / y,z) * x = y * T(y \ x,z). x * y != T(x,z) * (u * x) | y = T(x,z) * T(u,x). K(x,y) * (z * x) = T(x,y) * T(z,x). x * y != T(x,z) * u | y = T(x,z) * (x \ u). K(x,y) * z = T(x,y) * (x \ z). T(x,y) * (x \ z) = K(x,y) * z. x * y != T(x,z) * (x * u) | y = u * T(T(x,u),z). K(x,y) * (x * z) = z * T(T(x,z),y). x * y != T(x,z) * T(z,x * z) | y = L(z,x,z). K(x,y) * T(y,x * y) = L(y,x,y). x * y != T(x,z) * T(z,z * x) | y = L(z,x,z). K(x,y) * T(y,y * x) = L(y,x,y). x * y != T(x,z) * (x * u) | y = T(x,z) * u. K(x,y) * (x * z) = T(x,y) * z. T(x,y) * z != x * u | K(x,y) * z = u. a(x,K(x,y) * z,u) = (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u). (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). x * (y * K(x,z)) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). x \ (T(x,y) * z) != u | u = K(x,y) * z. x \ (T(x,y) * z) != u | K(x,y) * z = u. ((x * y) * (K(y,z) * u)) / (T(y,z) * u) != w | R(x,y,K(y,z) * u) = w. x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). (x / y) * K(x,y) = T(x,y) / y. (x \ y) / (T(x,z) \ y) = K(x,z). K(x,y) * (T(x,y) \ z) != u | u = x \ z. K(x,y) * (T(x,y) \ z) != u | x \ z = u. x * y != T(x,z) * u | K(x,z) \ y = u. T(x,y) * z != x * u | K(x,y) \ u = z. x \ y != K(x,z) * u | T(x,z) \ y = u. K(x / y,y) * ((y \ x) \ z) = (x / y) \ z. K(x,y) \ (x \ z) != u | u = T(x,y) \ z. K(x,y) \ (x \ z) != u | T(x,y) \ z = u. (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. x != K(y,z) * K(y,u) | x = K(y,u) * K(y,z). T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). T(x,y) \ z = x \ (K(x,y) \ z). x \ (K(x,y) \ z) = T(x,y) \ z. x != T(y,z) * u | x = y * (K(y,z) * u). K(x,y) * z = x * (K(x,y) * (x \ z)). x * (K(x,y) * (x \ z)) = K(x,y) * z. x != T(y,z \ y) * (y \ (z \ 1)) | x = (z * y) / ((z * y) * z). K(x,y \ x) * (y \ 1) = (y * x) / ((y * x) * y). (x * y) / ((x * y) * x) = K(y,x \ y) * (x \ 1). x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(x,y) * z) = K(x,y) * (x \ z). T(x * y,z) * L(u,y,x) = K(x * y,z) * (x * (y * u)). K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). (x \ y) * ((y / x) \ z) = K(y / x,x) * z. ((K(x,y) * z) \ T(x,y)) * T(x,y) = (x \ z) \ T(x,y). T(x,y) * K(x,z) = K(x,y) * T(x,z). K(x,y) * T(x,z) = T(x,y) * K(x,z). K(x,y) * (x * z) = x * (K(x,y) * z). K(x,x \ y) * (x * z) = ((x \ y) \ y) * z. K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. T(x,y) * (x \ z) != u | K(x,y) * z = u. K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). K(x \ 1,y) * ((1 / x) * z) = T(1 / x,y) * z. (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). x * y != L(z,T(u,w) \ u,(u * w) / u) | x \ z = y. ((x * y) / x) \ z = y \ ((T(x,y) \ x) * z). x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. T(x,x * y) * K(y,x) = L(x,y,x). x * y != K(z,u) * T(u,u * z) | x \ L(u,z,u) = y. (x * K(y,x)) \ L(x,y,x) = K(x,x * y). x * y != T(z,z * u) * K(u,z) | x \ L(z,u,z) = y. x \ L(x,y,x) = K(x,x * y) * K(y,x). K(x,x * y) * K(y,x) = x \ L(x,y,x). R(x,x \ T(x,y),z) = x. R(x,K(x,y),z) = x. L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w. (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). R(x,K(y,x),z) = x. T(x,y) * (K(z,x) * u) = (T(x,y) * K(z,x)) * u. (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). L(x,K(y,z),y) != u | u = x. L(x,K(y,z),z) != u | u = x. ((x * y) / x) * z = y * (K(x,y) * z). (x / (x / y)) * z = y * (K(y \ x,y) * z). (x / y) * z = (y \ x) * (K(y,y \ x) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. K(x,R(y,x,z) \ 1) = K(x,y \ 1). R(K(x,y),x,z) = K(x,y). R(K(x,y),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). R(K(x,y),y,z) = K(x,y). (x * K(y,x)) * z = K(y,x) * (x * z). ((x * y) / x) * z = K(x,y) * (y * z). K(x,y) * (y * z) = ((x * y) / x) * z. x * y != z * T(z \ x,u) | T(K(x / z,u),x) = y. T(K(x / y,z),x) = K((x \ y) \ 1,z). x * y != (z \ 1) * T((z \ 1) \ u,w) | (z \ T(z * u,w)) / y = x. (x \ T(x * y,z)) / y = K(y / (x \ 1),z). x * y != (z * u) * T((z * u) \ (z * w),v5) | (z * (u * T(u \ w,v5))) / y = x. (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). x * (y \ z) != z * T(z \ (y \ z),u) | x = K(y \ 1,u). K((x \ y) / y,z) = K(x \ 1,z). x * y != z * T(z \ y,u) | x = K((z / y) \ 1,u). K(x / y,z) = K((y / x) \ 1,z). K((x / y) \ 1,z) = K(y / x,z). x * y != (z * y) * T((z * y) \ y,u) | x = K(z \ 1,u). K(x / (y * x),z) = K(y \ 1,z). K((x * y) \ x,z) = K(y \ 1,z). K(1 / (x / y),z) = K(y / x,z). K(x * (y \ 1),z) = K(x / y,z). K(x / y,z) \ 1 = K(z,(y / x) \ 1). K(x,(y / z) \ 1) = K(z / y,x) \ 1. x != K(y \ 1,z) | x = K(y,z \ 1). K(x / (y * x),z) = K(y,z \ 1). K(x \ y,z) = K((y \ x) \ 1,z). K((x \ y) \ 1,z) = K(y \ x,z). K((x * y) \ y,z) = K(T(x,y) \ 1,z). K(T(x,y) \ 1,z) = K((x * y) \ y,z). K(x * (y * (z \ 1)),u) = K(x / (z / y),u). K(x * (y \ z),u) = K(x / ((1 / z) * y),u). K(x / ((1 / y) * z),u) = K(x * (z \ y),u). K(x \ y,z) = K(y / T(x,y),z). K(x / T(y,x),z) = K(y \ x,z). K(x \ y,z) = K(T(y,x) / x,z). K(T(x,y) / y,z) = K(y \ x,z). K(x \ y,z) = K(y \ x,z \ 1). K(x \ y,z \ 1) = K(y \ x,z). K(x / (y * x),z) != u | K(y \ 1,z) = u. K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). K(((x * y) \ x) \ 1,z) = K(y,z). x != K((y \ z) \ 1,u) | x = y \ (z * T(z \ y,u)). K(x \ y,z) = y \ (x * T(x \ y,z)). x \ (y * T(y \ x,z)) = K(y \ x,z). x * y != K((z \ u) \ 1,w) | x \ K(u \ z,w) = y. (x \ y) \ K(y \ x,z) = T((x \ y) \ 1,z). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). K(x \ y,z) \ 1 = K(z,(y \ x) \ 1). K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. x * T(x \ y,z) = y * K(x \ y,z). K((x \ 1) \ y,z) != u | K(x * y,z) = u. x \ T(x * y,z) = y * K((x \ 1) \ y,z). L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. K((1 / x) * y,z) = K(x \ y,z). K(T(x / y,x),z) = K(y \ x,z). x != K(y \ z,u) | x = K(z / T(y,z),u). K(T(x,y) / y,z) = K(x / T(y,x),z). K(x,(y \ z) * x) = K(z \ y,x). K(x \ y,z) = K(z,z * (y \ x)). K(x,x * (y \ z)) = K(z \ y,x). K(x \ y,x \ 1) != z | K(x,y) = z. T((x \ 1) \ y,z) = ((x \ 1) \ y) * K(x * y,z). ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z). x != K(((y * z) \ y) \ 1,u) | x = L(K(z,u),z,y). K(x,y) = L(K(x,y),x,z). L(K(x,y),x,z) = K(x,y). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). (x * y) * K(y,z) = x * T(y,z). a(x,y,K(y,z)) = 1. x != L(K(y,z),y,u) | x = (u * y) \ (u * T(y,z)). K(x,y) = (z * x) \ (z * T(x,y)). (x * y) \ (x * T(y,z)) = K(y,z). x != L(K(L(y,z,u),w),L(y,z,u),u * z) | x = (u * (z * y)) \ (u * (z * T(y,w))). K(L(x,y,z),u) = (z * (y * x)) \ (z * (y * T(x,u))). (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). L(x \ T(x,y),x,z) = K(x,y). a(x,y,K(z,y)) = 1. a(x,y,K(y * z,z)) = 1. a(x,y,K(z,y * z)) = 1. a(x,y \ 1,K(y,z)) = 1. L(K(x,y),y,z) = K(x,y). L(K(x * y,y),x,z) = K(x * y,y). L(K(x,y * x),y,z) = K(x,y * x). L(K(x,y),x \ 1,z) = K(x,y). x != L(K(y,z \ u),z \ u,z) | x = K(y,(u \ z) \ 1). K(x,y \ z) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = K(x,z \ y). L(K(x,y),z,u) = L(L(K(x,y),z,u),y,w). L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). (x * y) * K(z,y) = x * (y * K(z,y)). x != L(y \ z,y,u / z) | x = ((u / z) * y) \ u. K(x,y) = ((z / T(x,y)) * x) \ z. ((x / T(y,z)) * y) \ x = K(y,z). x != L(K(y,z \ 1),u,w) | x = K(y,L(z,u,w) \ 1). K(x,y \ 1) = K(x,L(y,x \ 1,z) \ 1). K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). x != K(y \ z,y \ 1) | x = K(y,z). K((1 / x) * y,x \ 1) = K(x,y). K(x,y) = K(z \ ((1 / z) \ x),y). K(x \ ((1 / x) \ y),z) = K(y,z). (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. K(T(x,y),z) = K((x \ y) \ y,z). K((x \ y) \ y,z) = K(T(x,y),z). K(x,x * (y \ z)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,x * (z \ y)). R(x,y,K(y,z)) = x. x * K(y,z) = (x / y) * T(y,z). (x / y) * T(y,z) = x * K(y,z). (x * (y \ z)) * K(y \ z,y \ 1) = x * (z * (y \ 1)). R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). x * K(T(x,y),z) = K(y,x) * T(T(x,y),z). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). R(x,y,K(z,y \ 1)) = x. (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. K(x * (y \ z),x) = K(x,z \ y). K(x,1 / (y \ z)) = K(x,z \ y). x != K(y \ z,u \ 1) | x = K(z \ y,u). K(x \ y,z \ u) = K(y \ x,u \ z). x != K(y * (z * u),(u \ (z \ (y \ 1))) \ 1) | x = K(a(y,z,u),(z * u) \ (y \ 1)). K(x * (y * z),(y \ (x \ 1)) \ z) = K(a(x,y,z),(y * z) \ (x \ 1)). K(x,y \ 1) = K(x,(z * y) \ z). K(x,(y * z) \ y) = K(x,z \ 1). K(x,((y * z) \ y) \ 1) = K(x,z). K(x,a(y,z,u) \ 1) = K(x,((y * z) * u) \ (y * (z * u))). K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). K(x,(y \ (y / z)) \ 1) = K(x,z). K(x,y \ ((z / y) \ u)) = K(x,((y / u) * z) \ y). K(x,((y / z) * u) \ y) = K(x,y \ ((u / y) \ z)). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). x * K(y,z \ x) = z * ((y * (z \ x)) / y). K(x,(y / z) \ 1) * z = z * K(x,y \ z). R(K(x,y \ z),u,w) = K(x,R(z \ y,u,w) \ 1). K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). R(x,y \ z,K(u,z \ y)) = x. x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). x != ((y / z) * u) \ y | x = (1 / y) * ((u / y) \ z). K(x,y) = (1 / z) * ((x / z) \ T(x,y)). (1 / x) * ((y / x) \ T(y,z)) = K(y,z). x * y != ((z / T(u,w)) * u) \ z | x \ K(u,w) = y. (1 / x) \ K(y,z) = (y / x) \ T(y,z). K((x \ y) \ T(y,x),z) = K(x,z). x != K((y \ z) \ z,u) | x = T(K(y,u),z). K(T(x,y),z) = T(K(x,z),y). K(T(x,y),z) = K(T(x,y * x),z). K(T(x,y * x),z) = K(T(x,y),z). x != T(K(y,z),K(z,u)) | x = K(y,z). K(T(x,K(y,z)),y) = K(x,y). x != K(T(y,y \ z),u) | x = T(K(y,u),z). T(K(x,y),x \ z) = T(K(x,y),z). x * K(T(y,x),z) = K(y,z) * x. T(T(x,y),z) = T(K(x,z),y) * T(x,y). T(K(x,y),z) * T(x,z) = T(T(x,z),y). T(K(x,y),z) \ 1 = K(y,T(x,z)). T(K(x,y),z) \ 1 != u | K(y,T(x,z)) = u. (K(x,y) * z) * K(T(y,z),x) = z. T(T(x,K(y,z)),y) = K(x,y) * T(x,K(y,z)). K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). (x * T(y,z)) / y = x * K(y,z). x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. x * y != ((z / T(u,w)) / u) * T(u,w) | x \ (z / u) = y. (x / T(y,z)) \ (x / y) = K(y,z). (x * K(y,z)) * y = x * T(y,z). (x * K(y,z)) \ (x * T(y,z)) = y. T(x * K(y,z),y) = y \ (x * T(y,z)). x \ (y * T(x,z)) = T(y * K(x,z),x). x != K(y,z) | x = K(z \ y,y). K(x * (y \ z),x) = K((z \ y) \ x,x). K((x \ y) \ z,z) = K(z * (y \ x),z). K(x,(1 / y) * z) = K(x,y \ z). K(x,T(y / z,y)) = K(x,z \ y). K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). K(x,y / z) = K(x,(z / y) \ 1). K(x,(y / z) \ 1) = K(x,z / y). K(x,y / (z * y)) = K(x,z \ 1). x != K(y,z) | x = L(K(y,z),z,u). K(x,((y * z) \ y) \ 1) = L(K(x,z),z,u). L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). x != K(y * z,z \ 1) | x = K((z \ 1) \ y,z \ 1). K(x * ((y * z) \ y),z) = K((((y * z) \ y) \ 1) \ x,((y * z) \ y) \ 1). K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). K(x,L(y,z,z)) = K(x,y). K(x,L(y,z \ 1,z)) = K(x,y). K(x,T(T(y,z),z \ 1)) = K(x,y). K(x,y * (z \ 1)) = K(x,y / z). K(x,y / (1 / z)) = K(x,y * z). K(x,(y \ 1) \ z) = K(x,y * z). K(x,T(y,y * z)) = K(x,T(y,z)). K(x,L(y,z,z \ 1)) = K(x,y). T(x,L(y,z,z)) = K(x,y) * x. K(x,L(y,z,y)) = K(x,y). K(x,y) = K(x,R(y,z,y)). K(x,R(y,z,y)) = K(x,y). x != K(y,z) | x = 1 / K(z,y). K(x,R(y,z,y)) = 1 / K(y,x). K(x,T(y,y \ z)) = K(x,T(y,z)). R(x,y,x) * K(z,x) = R(x * K(z,x),y,x). R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). K(x,T(y * z,u)) = K(x,T((y \ 1) \ z,u)). K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). x != K(y,z) * y | x = T(y,z). T(x,L(y,z,z)) = T(x,y). T(x,L(y,z,z)) != u | T(x,y) = u. T(x,(1 / y) * z) = T(x,y \ z). T(x,y * (z \ 1)) = T(x,y / z). T(x,(y \ z) \ 1) = T(x,z \ y). T(x,(y \ z) / z) = T(x,y \ 1). T(x,(y * z) \ y) = T(x,z \ 1). T(x,y / (1 / z)) = T(x,y * z). T(x,(y \ 1) \ z) = T(x,y * z). T(x,T(y,y * z)) = T(x,T(y,z)). T(x,L(y,z,y)) = T(x,y). L(x,y,x) \ z = T(z / L(x,y,x),x). T(x / L(y,z,y),y) = L(y,z,y) \ x. L(x,y,x) * T(z,x) = z * L(x,y,x). T(x,y) = T(x,R(y,z,y)). T(x,R(y,z,y)) = T(x,y). R(x,y,x) \ z = T(z / R(x,y,x),x). T(x / R(y,z,y),y) = R(y,z,y) \ x. R(x,y,x) * T(z,x) = z * R(x,y,x). T(x,T(y,y \ z)) = T(x,T(y,z)). T(x,(y * z) / y) = T(x,y / (y / z)). K(x,R(y,z,y)) != u | K(x,y) = u. K(R(x,y,x),z) = K(x,z). K(T(x,y),z) = K(T(x,x * y),z). K(T(x,x * y),z) = K(T(x,y),z). T(x,y) = x * K(R(x,z,x),y). x * K(R(x,y,x),z) = T(x,z). T(R(x,y,x),z) = K(x,z) * R(x,y,x). K(x,y) * R(x,z,x) = T(R(x,z,x),y). ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). x * y != z * K(R(z,u,z),w) | x \ T(z,w) = y. R(x,y,x) \ T(x,z) = R((z * x) / z,y,x) \ x. R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). K(x,y \ 1) = K(T(x,L(y,z,u)),y \ 1). K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). x * K(T(y,z),u) != K(y,u) * z | x = z. x * K(y,z) = K((x * y) / x,z) * x. K((x * y) / x,z) * x = x * K(y,z). K(x,K(y,z)) = K(y,z) * K(z,T(y,x)). K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). x != y * K(T(z,x),u) | K(u,z) * x = y. x * K(T(y,z),u) != z | K(u,y) * z = x. x * T(y * K(x,z),x) = y * T(x,z). (x * K(y,z)) * y != u | u = x * T(y,z). (x * K(y,z)) * y != u | x * T(y,z) = u. T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. T(x \ 1,y) \ (1 / x) = K(x,x \ y). R(x,K(y,z),y) = x. x != K(y,z) * T(z,u) | x = T(z,u) * K(y,z). (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). x * y != (y \ z) * T(y,z) | x = z / R(y,y \ z,y). (x \ y) * K(x,y) = y / R(x,x \ y,x). x / R(y,y \ x,y) = (y \ x) * K(y,x). a(x,y * K(z,u),z) = (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z). (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). T(x,y) * T(x,y) = x * T(T(x,y),y). R(x,K(y,z),z) = x. x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). L(x,K(x,y),z) = x. x != L(y * K(z,y),K(y * K(z,y),z),u) | x = (u * K(y,z)) \ (u * y). x * K(y,x) = (z * K(x,y)) \ (z * x). (x * K(y,z)) \ (x * y) = y * K(z,y). L(T(x,y),K(x,z),u) = T(x,y). (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). L(x,K(y,x),z) = x. (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). L(T(x,y),z,u) = L(L(T(x,y),z,u),K(x,w),v5). L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. x != K(y,y \ z) | x = K(y,z / y). K(x,(1 / x) * y) = K(x,y / x). K(x,(y / z) * u) = K(x,(z * (y \ 1)) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). K(x,T(y,z)) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x * (y / z),x) = K(x,z / y). x != K(y,((z * y) / u) \ 1) | x = (z * (y * ((z \ u) / y))) / u. K(x,y / (z * x)) = (z * (x * ((z \ y) / x))) / y. (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). R(K(x,y / z),u,w) = K(x,R(z / y,u,w) \ 1). K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). x != K(y,z \ 1) | x = K(y,1 / z). K(x,y / (z * y)) = K(x,1 / z). K(x,T(y,L(y,z,u) \ 1)) = K(x,y). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). K(x,T(y,z * y)) = K(x,T(y,z)). K(x,T(y,y * x)) != z | K(x,y) = z. T(x,(1 / y) * z) != u | T(x,y \ z) = u. T(x,T(y,y \ 1)) != z | T(x,y) = z. T(x,y * (z \ 1)) != u | T(x,y / z) = u. T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. T(x,(y * z) \ y) != u | T(x,z \ 1) = u. T(x,(y \ 1) \ z) != u | T(x,y * z) = u. T(x,y * z) != u | T(x,(y \ 1) \ z) = u. T(x,T(y,z) / z) = T(x,z \ y). T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). T(x,(y * z) \ z) = T(x,z \ (y \ z)). T(x,y \ z) * (z \ y) = ((1 / y) * z) \ x. T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). x != T(y / (z * (u \ (z / u))),z * (u \ 1)) | x = (1 / ((z * (u \ 1)) \ y)) \ (u / z). T(x / (y * (z \ (y / z))),y / z) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). x != T(T(y,z / u),u * (z \ 1)) | x = R(y,z / u,u * (z \ 1)). T(T(x,y / z),z / y) = R(x,y / z,z * (y \ 1)). R(x,y / z,z * (y \ 1)) = T(T(x,y / z),z / y). T(x,(y / z) \ 1) = T(x,z / y). L(x,y \ z,y \ z) = T(T(x,y \ z),z \ y). T(T(x,y \ z),z \ y) = L(x,y \ z,y \ z). x != T(y,(z \ (u \ z)) \ 1) | x = T(y,T(u,z)). T(x,(y \ z) \ z) = T(x,T(y,z)). T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. ((x \ y) * T(z,y \ x)) * (x \ y) = (x \ y) * ((x \ y) * z). ((x \ y) \ 1) * ((x \ y) \ T(z,y \ x)) = ((x \ y) \ z) / (x \ y). T(x,y * (z * y)) = T(x,(y * z) * y). T(x,(y * z) * y) = T(x,y * (z * y)). T(x,T(y,z \ y)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). K(x,(y \ 1) \ 1) != z | K(x,y) = z. K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. x != K(y,z / (1 / u)) | x = K(y,z * u). K(1 / x,(1 / (1 / x)) * y) = K(1 / x,y * x). K(x * (y / z),x) = K((z / y) \ x,x). K((x / y) \ z,z) = K(z * (y / x),z). K(x,y / (z * y)) != u | K(x,z \ 1) = u. 1 / T(x,y / z) = (z / y) / ((z / y) * x). (x / y) / ((x / y) * z) = 1 / T(z,y / x). T(x,y / z) * (z / y) = (1 / (z / y)) \ x. ((x \ y) \ y) \ z = T(z / ((x \ y) \ y),T(x,y)). T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. K(x,y \ 1) != z | K(y,y * x) = z. x != K(y * z,z) | x = K(z * y,z). L(K(x * y,y),x,z) = K(y * x,y). K(x \ (x * y),z) != u | K(y,z) = u. T(x \ (y \ 1),y) = T(x,y) \ (1 / y). T(x,y) \ (1 / y) = T(x \ (y \ 1),y). K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. K(x \ y,z \ 1) != u | K(y \ x,z) = u. K(x * y,y) != z | K(x,x * y) = z. K(x * y,x) != z | z = K(y * x,x). K(x * y,x) != z | K(y * x,x) = z. L(K(x * y,x),y,z) = K(x * y,x). K((x / y) \ x,z) != u | K(y,z) = u. K((x \ y) \ (x \ 1),z) != u | K(y \ 1,z) = u. K(((x * y) \ x) \ 1,z) != u | K(y,z) = u. K(x,x / y) != z | K(y,x) = z. K(x,y \ x) != z | K(y,x) = z. K((x * y) * z,a(x,y,z)) != u | K(x * (y * z),(x * y) * z) = u. K(x,y) * (x * z) != u | T(x,y) * z = u. x != y * K(z,u) | x = (K(u,z) / y) \ 1. K(x,y) * T(x,z) = (K(z,x) / T(x,y)) \ 1. (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). x != T(y,z) * K(y,u) | x = K(y,u) * T(y,z). K(x,y) * T(x,z) = K(x,z) * T(x,y). x != (y / z) * K(y,z) | x = T(y,z) / z. x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. ((x * y) / x) * (x * z) = y * (T(x,y) * z). (x * K(y,x)) * (x \ z) = K(y,x) * z. x != (y * K(z,y)) * u | x = y * (K(z,y) * u). K(x,y) * (y * z) = y * (K(x,y) * z). (x / y) * z = K(y,y \ x) * ((y \ x) * z). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. K(x,y) * z = ((x * y) / x) * (y \ z). ((x * y) / x) * (y \ z) = K(x,y) * z. K(x,(y / z) \ 1) != u | K(x,z / y) = u. x != K(T(y \ 1,z) \ 1,u) | x = T(K(y,u),z). K(((x \ 1) * y) \ y,z) = T(K(x,z),y). L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. x \ (y * T(y \ x,z)) != u | u = K(y \ x,z). x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). x != y * (z * K(u,z)) | x = y * ((u * z) / u). (x * y) * K(z,y) = x * ((z * y) / z). x != y * (z * K(y,z)) | x = T(y,z) * z. (x * y) * K(x,y) = T(x,y) * y. (x * (y \ z)) * K(y,y \ z) = x * (z / y). (x * (y * K(z,y))) * z = (x * y) * T(z,y). K(x,y \ x) = K(x,x * ((z * y) \ z)). K(x,x * ((y * z) \ y)) = K(x,z \ x). (1 / x) * (y * (x / y)) = K(y,y \ x). (1 / (x \ y)) \ K(y,z) = x \ T(y,z). K(x,T((y / z) \ 1,y)) = K(x,y \ z). x * (L(x,y,x) \ z) = (z / L(x,y,x)) * x. (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). x * (R(x,y,x) \ z) = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). ((x * y) / x) \ (z * y) = T((z / (y * K(x,y))) * y,x / (x / y)). T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). K(x,y) * R(x,z,x) = R(T(x,y),z,x). K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). x != T(y,z \ 1) * T(y,z \ 1) | x = ((1 / z) \ y) * (z \ (((1 / z) \ y) / z)). x * T(T(x,y \ 1),y \ 1) = ((1 / y) \ x) * (y \ (((1 / y) \ x) / y)). ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = y * T(T(y,x \ 1),x \ 1). x != T(y,z \ 1) * T(y,z \ 1) | x = z * (y * (y * (z \ 1))). x * T(T(x,y \ 1),y \ 1) = y * (x * (x * (y \ 1))). x != y * (z * K(u,z)) | x = (y * z) * K(u,z). (x * K(y,z)) * z = (x * z) * K(y,z). (x * T(y,z)) * z = (x * y) * (z * K(y,z)). (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. (x * y) / (y * K(z,y)) = x * K(y,z). x / (y * K(z,y)) = (x / y) * K(y,z). K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ y)). K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). T(x,T((y / z) \ 1,y)) = T(x,y \ z). T(x,y * (z \ y)) = T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))). T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). x * y != K(z,u) * (z * w) | x \ (T(z,u) * w) = y. ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). (1 / (x * y)) * ((y \ (x \ 1)) \ z) = K(x * y,y \ (x \ 1)) * z. K(x,x * (y / z)) = K(x,(z / y) \ x). K(x,(y / z) \ x) = K(x,x * (z / y)). x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). x * y != K(z,u) * R(z,w,z) | x \ R(T(z,u),w,z) = y. T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). (x * y) / ((z * y) / z) = x * K(y,z). x / (y / z) = (x / (z \ y)) * K(z \ y,z). (x / (y \ z)) * K(y \ z,y) = x / (z / y). K(x,R(y,z,u) \ x) = K(x,x * ((z * u) / ((y * z) * u))). K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). x != (y * z) / ((u * z) / u) | x = (y / (z * K(u,z))) * z. x * K(y,z) = (x / (y * K(z,y))) * y. (x / (y * K(z,y))) * y = x * K(y,z). (x / (y / (y / z))) * z = x * K(z,z \ y). (x / (y / z)) * (z \ y) = x * K(z \ y,z). K(x * y,x) * K(x,y) = x \ R(x,y,x). x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. K(x,y) * K(y * x,x) = x \ R(x,y,x). K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. T(x,y) * z != u | K(x,y) * (x * z) = u. K(x,y) * K(y,y * x) = y \ L(y,x,y). K((x \ y) / y,z) != u | K(x \ 1,z) = u. T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. (x * (y * y)) * K(y,z) != u | ((1 / x) \ y) * T(y,z) = u. K(x,((y * z) \ y) \ 1) != u | u = K(x,z). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. T(x,y * (z \ (u \ 1))) != w | T(x,y / (u * z)) = w. T(x,(y * z) / y) != u | T(x,y / (y / z)) = u. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. K(x,y \ (y / z)) != u | K(x,z \ 1) = u. K((x \ y) \ 1,z) != u | K(y \ x,z) = u. K((x / y) \ 1,z) != u | K(y / x,z) = u. L(K(x,y),x,z) != u | K(x,y) = u. K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. K(x,y * (z \ 1)) != u | K(x,y / z) = u. (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. K(x,1 / (y \ z)) != u | K(x,z \ y) = u. K(x,y) * K(y,y \ x) = y \ R(y,y \ x,y). x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). K(x * y,y) * K(y,x) = y \ R(y,x,y). K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). L(K(x,y),y,z) != u | K(x,y) = u. K(x,((y * z) * u) \ (y * (z * u))) != w | K(x,a(y,z,u) \ 1) = w. T(K(x / y,z),x) != u | K(y \ x,z) = u. K(x / y,z \ 1) != u | K(y / x,z) = u. R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. K(x,(1 / y) * z) != u | K(x,y \ z) = u. K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(T(x / y,x),z) != u | K(y \ x,z) = u. K(x,y * z) != u | K(x,(y \ 1) \ z) = u. K(x,(y * z) \ z) != u | K(x,z \ (y \ z)) = u. K(x,((y / z) * u) \ y) != w | K(x,y \ ((u / y) \ z)) = w. K((1 / x) * y,z) != u | K(x \ y,z) = u. K(T(x,y) / y,z) != u | K(y \ x,z) = u. K(x / T(y,x),z) != u | K(y \ x,z) = u. K(x / (x \ y),z) != u | K((y / x) \ x,z) = u. K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. x != T(y,z) * (y \ K(y,u)) | x = (y \ K(y,u)) * T((y \ 1) \ 1,z). K(x,y) * K(x,z) = (x \ K(x,y)) * T((x \ 1) \ 1,z). (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. (x \ y) \ z = K(x,x \ y) * ((y / x) \ z). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(x * (y * (z \ 1))) \ 1). K((x / y) * x,z) = K(x * (y \ x),z). x != (y * z) * ((y * ((y * z) \ u)) / y) | x = (y * ((u / z) / y)) * z. x * K(y,(y * z) \ x) = (y * ((x / z) / y)) * z. (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). K(x,y / z) * y = y * K(x,z \ y). x * y != x * K(z,u \ x) | T(K(z,x / u),x) = y. T(K(x,y / z),y) = K(x,z \ y). x * y != y * K(T(z,y),u) | x = K(z,u). K(T(x,y),y / z) = K(x,z \ y). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). x != R(y,z,u) * K(w,y) | x = K(w,y) * R(y,z,u). R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). x != K((y \ 1) * (1 / (z / u)),(u * (z \ 1)) \ y) | x = ((z / u) / (1 / y)) \ ((u * (z \ 1)) \ y). K((x \ 1) * (1 / (y / z)),(y / z) * x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). (x / y) * T(T(z,x / y),y / x) = (1 / (x / y)) \ z. (x / y) * z != (1 / (x / y)) \ u | T(T(u,y / x),x / y) = z. T(T(x,y / z),z / y) = L(x,z / y,z / y). L(T(x,y / z),u,w) * (z / y) = (1 / (z / y)) \ L(x,u,w). (x * y) / (1 / x) = y * (T(x,y) * x). (x * y) / (1 / x) = y * (x * T(x,y)). x != (y * z) / (1 / y) | x = y * (z * y). x * (y * T(y,x)) = y * (x * y). x * (y * (z * T(y * z,x))) = (y * z) * (x * (y * z)). x * y != (z * (u \ w)) * K(u,u \ w) | (z * (w / u)) / y = x. (x * (y / z)) / (z \ y) = x * K(z,z \ y). x * y != (z * (u * K(w,u))) * w | ((z * u) * T(w,u)) / y = x. ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). (x / R(y,z,y)) * y != u | u = y * (R(y,z,y) \ x). (x / R(y,z,y)) * y != u | y * (R(y,z,y) \ x) = u. x != K(y,z) * K(z,T(y,u)) | x = K(u,K(y,z)). K(x * y,K(x,z)) = K(y,K(x,z)). K(x,K(y,z)) = K(y \ x,K(y,z)). K(x \ y,K(x,z)) = K(y,K(x,z)). K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. K(x,K(y,z)) != u | K(y \ x,K(y,z)) = u. ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). (x / y) * ((y \ x) \ ((1 / K(y,y \ x)) \ z)) = (K(y,y \ x) * K(y,y \ x)) * z. ((x / y) * ((y \ x) \ K(y,y \ x))) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). L(x,y \ z,T(y,z)) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). x * (y \ z) = (x * (z / y)) * K(y \ z,y). (x * (y / z)) * K(z \ y,z) = x * (z \ y). K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). (x \ y) * z = K(x \ y,x) * ((y / x) * z). K(x \ y,x) * ((y / x) * z) = (x \ y) * z. x * (((y * x) / y) \ z) = K(x,y) * z. x * y != K(x,z) * u | y = K(x,z) * (x \ u). ((x * y) / x) \ z = K(y,x) * (y \ z). x * y != K(x,z) * (x * u) | y = K(x,z) * u. ((x * y) / x) \ (y * z) = K(y,x) * z. x * y = K(x,z) * (((z * x) / z) * y). K(x,y) * (((y * x) / y) * z) = x * z. x * (y \ 1) = K(y,x) * (y \ x). K(x,y) * (x \ y) = y * (x \ 1). (x * K(y,x)) \ z = K(x,y) * (x \ z). x != K(y,z) * u | x = T(y,z) * (y \ u). ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). x * y != K(z,u) * (((u * z) / u) * w) | x \ (z * w) = y. T(x,y) \ (x * z) = x \ (((y * x) / y) * z). x \ (((y * x) / y) * z) = T(x,y) \ (x * z). x / (K(y,z) * (y \ x)) = y * K(z,y). (x * K(y,x)) \ z != u | u = K(x,y) * (x \ z). (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). x / (y \ z) = (x / (z / y)) * K(y,y \ z). (x / (y / z)) * K(z,z \ y) = x / (z \ y). x != (y \ z) * (z / y) | x = (z / y) * (y \ z). K(x \ y,x) * ((y / x) * (y / x)) = (y / x) * (x \ y). x != T(y,z) \ (y * u) | x = y * (T(y,z) \ u). x \ (((y * x) / y) * z) = x * (T(x,y) \ z). x != y \ (((z * y) / z) * u) | x = ((z * y) / z) * (y \ u). x * (T(x,y) \ z) = ((y * x) / y) * (x \ z). ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). x != ((y * z) / y) * (z \ u) | x = K(y,z) * u. x * (T(x,y) \ z) = K(y,x) * z. x * y != ((z * u) / z) * (u \ w) | x \ (K(z,u) * w) = y. x \ (K(y,x) * z) = T(x,y) \ z. x * y != ((z * x) / z) * u | y = K(z,x) * u. T(x,y) \ z = K(y,x) * (x \ z). K(x,y) * (y \ z) = T(y,x) \ z. x != K(y,z) * K(u,z) | x = K(u,z) * K(y,z). x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). x * y != K(z \ u,z) * R(T(z,z \ u),w,v5) | x \ (u \ ((R(z,w,v5) * (z \ u)) * z)) = y. x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = T(x,x \ y) \ R(T(x,x \ y),z,u). T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). x * y != K(z,x) * (x * u) | y = K(z,x) * u. T(x,y) \ (x * z) = K(y,x) * z. x * y = K(z,x) * (T(x,z) * y). K(x,y) * (T(y,x) * z) = y * z. (x * x) \ (K(y,x) * z) = (1 / x) * (T(x,y) \ z). T(x,y) * (K(y,x) * z) = x * z. K(x,y) * (K(z,y) * u) = y * (K(x,y) * (T(y,z) \ u)). x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. K(x \ y,x) * (x \ z) = ((x \ y) \ y) \ z. ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). K(x \ y,1 / x) * ((1 / x) \ z) = (1 / T(x,y)) \ z. K(x,y) * K(y,z) = T(y,x) \ T(y,z). T(x,y) \ T(x,z) = K(y,x) * K(x,z). K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. (x * y) / (T(x,z) * y) = K(z,x). K(x,y) \ (y * z) = T(y,x) * z. L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. K(x,y) * z != u | y * (T(y,x) \ z) = u. K(x,y) \ (y * z) != u | u = T(y,x) * z. K(x,y) \ (y * z) != u | T(y,x) * z = u. (x * y) \ (K(z,x) * (T(x,z) * (y * u))) = L(L(u,y,T(x,z)),T(x,z) * y,K(z,x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). x * (y * z) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = x * (y * z). K(x,y) \ z = K(y,x) * z. K(x,y) * (K(y,x) * z) = z. K(x,y / z) * (z * T(z \ y,x)) = y. T(x,y) * z != x * (K(u,x) * K(x,y)) | z = K(u,x). K(x,y) * (K(z,y) * K(y,x)) = K(z,y). (x \ y) * (K(y,y * (x \ 1)) * z) = (y * (x \ 1)) * z. T(x \ y,x) * (K(y,(1 / x) * y) * z) = ((1 / x) * y) * z. T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). K(x,y) / (z \ 1) = K(x,y) * z. K(x,y) / z = K(x,y) * (1 / z). K(x,y) * (1 / z) = K(x,y) / z. (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). (x * K(y,z)) \ x = K(z,y). x / (K(y,z) * x) = K(z,y). x * y != K(z,u) * w | T(x,y) = y \ (K(u,z) \ w). T(K(x,y),z) = z \ (K(y,x) \ z). x \ (K(y,z) \ x) = T(K(z,y),x). x != K(y,z) * u | x = u * K(T(y,u),z). K(x,y) \ z = z * K(T(y,z),x). x * K(T(y,x),z) = K(z,y) \ x. K(x,y) \ K(z,x) = K(z,x) * K(y,x). x != y * ((z * u) * y) | x = ((1 / y) \ z) * (u * y). K(x,y) \ ((z * u) * K(y,x)) = ((1 / K(y,x)) \ z) * (u * K(y,x)). ((1 / K(x,y)) \ z) * (u * K(x,y)) = K(y,x) \ ((z * u) * K(x,y)). x != K(y \ z,z) \ ((1 / y) * z) | x = z / y. K(x,y \ x) * ((1 / y) * x) = x / y. x * y != K(z,u) \ x | T(K(u,z),x) = y. T(K(x,y),z) = T(K(y,x),z) \ 1. T(K(x,y),z) \ 1 = T(K(y,x),z). K(x,y) * (K(y,x) * z) != u | u = z. x / (K(y,z) * x) != u | u = K(z,y). x / (K(y,z) * x) != u | K(z,y) = u. 1 / (K(x,y) * z) = (1 / z) * K(y,x). (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). (1 / x) * ((K(y,z) * (1 / x)) \ u) = (K(z,y) * (u / x)) * x. R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). (K(x,y) \ 1) \ z = K(x,y) * z. T(K(x,y) * z,K(x,y)) = z * K(x,y). (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). K(x,y \ 1) \ z = K(y,x \ 1) * z. K(x,y) * (1 / z) != u | K(x,y) / z = u. T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). K(x,y) * (y \ z) != u | T(y,x) \ z = u. K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. K(x,y) * z != K(x,u) * T(x,y) | z = T(x,u). K(x,y) * (K(y,z) * T(y,x)) = T(y,z). K(x,y) * z != K(u,K(x,y)) | z = K(y,T(x,u)). K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). K(x,y) * z != K(x,u) * (K(x,y) * w) | z = K(x,u) * w. K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. K(x,y) * z != K(y,u) * K(x,y) | z = K(y,u). K(x,y) * (K(x,z) * K(y,x)) = K(x,z). x != K(y,z) * u | K(z,y) * x = u. K(x,y) * z != u | K(y,x) * u = z. K(x,y) \ z != u | u = K(y,x) * z. K(x,y) \ z != u | K(y,x) * z = u. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). x \ 1 = (K(y,z) * x) \ K(y,z). (K(x,y) * z) \ K(x,y) = z \ 1. x * y != (z * K(u,w)) \ z | K(w,u) / y = x. K(x,y) / (1 / z) = (z \ K(y,x)) \ 1. (x * K(y,z)) * K(z,y) = x. x / K(y,z) = x * K(z,y). x * K(y,z) != u | x = u * K(z,y). x * K(y,z) != u | u * K(z,y) = x. (x * K(y,z)) * K(z,y) != u | u = x. x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. (K(x,y) * z) \ z = K(y,T(x,z)). (x / y) \ (x / T(y,z)) = K(z,y). (x * T(x \ y,z)) \ y = K(z,x \ y). T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). x / (y * T(y \ x,z)) = K(z,x / y). K(x,y) * z = z * K(x,T(y,z)). x * K(y,T(z,x)) = K(y,z) * x. (K(x,y) * z) * K(y,T(x,z)) = z. K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. T(x * K(y,z),K(z,y)) = K(y,z) * x. x * K(y,z) != u / y | x = u / T(y,z). (x / y) * K(z,y) = x / T(y,z). x * K(y,z) != u * T(y,z) | x = u * y. (x * T(y,z)) * K(z,y) = x * y. x * K(y,z) != T(u,K(y,z)) | x = K(z,y) * u. T(x,K(y,z)) * K(z,y) = K(z,y) * x. x * K(y,z) != u \ 1 | x = u \ K(z,y). (x \ 1) * K(y,z) = x \ K(y,z). x * y != (z * K(u,w)) * K(w,u) | z / y = x. x / T(y,z) = (x * K(z,y)) / y. (x * K(y,z)) / z = x / T(z,y). a(x,y * K(z,u),K(u,z)) = (x * y) \ ((x * (y * K(z,u))) * K(u,z)). (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). x \ ((x * K(y,z)) * (K(z,y) * u)) != w | L(u,K(z,y),x * K(y,z)) = w. x * y = (x * K(z,y)) * T(y,z). (x * K(y,z)) * T(z,y) = x * z. x != y * K(z,u) | x = T(K(u,z) \ y,K(z,u)). x / K(y,z) = T(K(y,z) \ x,K(z,y)). T(K(x,y) \ z,K(y,x)) = z / K(x,y). x / K(y,z) != x * u | K(z,y) = u. R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). ((K(x,y) / z) * u) \ K(x,y) = K(y,x) * ((u * K(y,x)) \ z). (1 / x) * ((1 / x) * (1 * K(x \ 1,x * y))) = 1 / (T(x,y) / (1 / x)). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). K(x,y) / (z \ u) = K(x,y) * ((1 / u) * z). K(x,y) * ((1 / z) * u) = K(x,y) / (u \ z). K(x,y) = L(K(x,y),z,z). L(K(x,y),z,z) = K(x,y). R(x,K(y,z),1 / u) = ((x * K(y,z)) * (1 / u)) / (K(y,z) / u). ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = R(x,K(y,z),1 / u). L(K(x,y),z \ 1,z) = K(x,y). L(K(x,y),z,1 / z) = K(x,y). (1 / x) * (x * K(y,z)) = K(y,z). x * y != L(K(z,u),w,w) | x \ K(z,u) = y. (x * y) \ K(z,u) = (y \ (x \ 1)) * K(z,u). (x \ (y \ 1)) * K(z,u) = (y * x) \ K(z,u). (1 / x) \ K(y,z) = x * K(y,z). ((1 / x) * y) \ K(z,u) = (y \ x) * K(z,u). (x * x) * K(y,z) = x * (x * K(y,z)). x * ((x \ y) * K(z,u)) = x / (K(z,u) \ (y \ x)). x / (K(y,z) \ (u \ x)) = x * ((x \ u) * K(y,z)). L(K(x,y),z \ 1,z) = u \ (u * K(x,y)). K(x,x \ 1) * K(y,z) = x * ((1 / x) * K(y,z)). (1 / x) \ K(y,z) != u | x * K(y,z) = u. (1 / x) \ L(K(y,z),u,w) = x * L(K(y,z),u,w). K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. x != y * K(z,u) | x = y / K(u,z). K(x,y) \ z = z / K(x,T(y,z)). x / K(y,T(z,x)) = K(y,z) \ x. K(x,T(y,z)) = T(K(x,y),z). K(x,y * K(z,y \ 1)) = T(K(x,y),z). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(y,z),u) \ 1). R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). T(K(x,y),z) != u | K(x,T(y,z)) = u. x != T(K(y,z),u) | x = K(T(y,u),z). K(x,T(y,z)) = K(T(x,z),y). K(T(x,y),z) = K(x,T(z,y)). x != T(K(y,z),u) | x = K((y \ u) \ u,z). K(x,T(y,z)) = K((x \ z) \ z,y). K((x \ y) \ y,z) = K(x,T(z,y)). x != T(K(y \ 1,z),u) | x = K(T(y,u) \ 1,z). K(x \ 1,T(y,z)) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). x != T(K(y,z),y \ u) | x = T(K(y,z),u). K(x,T(y,x \ z)) = T(K(x,y),z). x != T(K(y / z,u),y) | x = K(z \ y,u). K(x / y,T(z,x)) = K(y \ x,z). x != T(K(y,z),K(y,u)) | x = K(y,z). K(x,T(y,K(x,z))) = K(x,y). x != T(K(y,z),R(y,u,w)) | x = K(y,z). K(x,T(y,R(x,z,u))) = K(x,y). x != T(K(y,z),T(T(y,u),w)) | x = K(y,z). K(x,T(y,T(T(x,z),u))) = K(x,y). x * K(y,T(z,u)) = x * T(K(y,z),u). x != K(y,T(z,u)) | x = K(u,K(z,y)) * K(y,z). T(K(x,y),z) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = T(K(z,y),x). x != K(y,T(z \ 1,u)) | x = K(y,T(z,u) \ 1). T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). x != K(y,T(z,u)) | x = K(y,T(z,z \ u)). T(K(x,y),z) = K(x,T(y,y \ z)). K(x,T(y,y \ z)) = T(K(x,y),z). K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). T(x,K(y,T(z,x))) = T(x,K(y,z)). K(x,R(T(K(x,y),z),u,w)) = 1. T(x,T(y,z)) = x * T(K(x,y),z). x * T(K(x,y),z) = T(x,T(y,z)). x * T(K(x,y),z) != u | T(x,T(y,z)) = u. K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). K(x,T(y,z)) \ 1 = K(y,T(x,z)). K(x,T(y,z)) * T(x,z) = T(T(x,z),y). K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). x * K(T(y,z),u) = x * K(y,T(u,z)). x != K(y,z) | x = (u * K(z,y)) \ u. K(x,T(y,z)) = (u * K(y,T(x,z))) \ u. (x * K(y,T(z,u))) \ x = K(z,T(y,u)). x != K(T(T(y,z),u),w) | x = T(T(y * K(w,y),z),u) \ T(T(y,z),u). K(T(x,y),T(z,u)) = T(T(x * K(z,x),y),u) \ T(T(x,y),u). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). x != K(T(y,y * z),u) | x = K(T(y,z),u). K(x,T(y,x * z)) = K(T(x,z),y). x * y != K(T(z,u),w) | x \ K(z,T(w,u)) = y. x \ K(y,T(x,z)) = T(x,T(y,z)) \ 1. T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). K(x \ y,z) = K(y / x,T(z,x)). K(x / y,T(z,y)) = K(y \ x,z). K(T(x,y),z / y) = K(x,y \ z). K(x,y) = K((z * x) / z,T(y,z)). K((x * y) / x,T(z,x)) = K(y,z). K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). K(x,y) = K(x,T(y,R(T(x,z),u,w))). K(x,T(y,R(T(x,z),u,w))) = K(x,y). x * K(T(x,y),z) != u | T(x,T(z,y)) = u. 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. K(x,T(y,z)) * T(x,z) = T(T(x,y),z). a(x,y,K(z,T(y,u))) = 1. K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. K(x,T(y,z)) \ u = K(y,T(x,z)) * u. x / K(y,T(z,u)) = x * K(z,T(y,u)). L(K(x,T(y,z)),y,u) = K(x,T(y,z)). a(x,T(y,z),K(u,y)) = 1. L(K(x,y),T(y,z),u) = K(x,y). K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). K(x,y \ R(x,z,u)) = K(x,R(x,z,u) * (y \ 1)). K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. x != L(K(y * z,y),T(y,z),u) | x = (u * T(y,z)) \ (u * R(y,z,y)). K(x * y,x) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. (K(x,y \ 1) * y) * (1 / y) = y * (((T(y,x \ 1) \ 1) \ 1) \ 1). (x \ 1) \ K(y,z) = ((x * K(y,z)) \ 1) \ 1. ((x * K(y,z)) \ 1) \ 1 = (x \ 1) \ K(y,z). K(x,T(y,z)) != u | T(K(x,y),z) = u. (x / y) * K(z,y) != u | u = x / T(y,z). (x / y) * K(z,y) != u | x / T(y,z) = u. x * y != K(z,u) * w | x \ (w * K(z,T(u,w))) = y. x \ (y * K(z,T(x,y))) = T(x,z) \ y. x * (y * K(z,T(u,y))) = x * (K(z,u) * y). K(x,y) * z != u | z = K(y,x) * u. x = K(y,z) * (x * K(z,T(y,x))). K(x,y) * (z * K(y,T(x,z))) = z. K(x,y) * z != z * u | K(x,T(y,z)) = u. T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). (x \ y) * K(x,y) = K(x,y) * (x \ y). K(x,y) * (x \ y) = (x \ y) * K(x,y). x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. x != ((y * z) / y) * u | x = z * (K(y,z) * u). (x * y) / T(x,z) = y * (K(x,y) * K(z,x)). x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). x * y != (z / u) * K(w,u) | (z / T(u,w)) / y = x. (x / T(y,z)) / T(z,y) = (x / y) / z. x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). x * K(y,z) = (x / T(z,y)) * z. (x / T(y,z)) * y = x * K(z,y). x * K(y,z) != (K(y,z) * K(z,u)) * z | x = T(z,u). (K(x,y) * K(y,z)) * T(y,x) = T(y,z). T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) = T(y / T(x,z),x). (((x * y) * T(z,u)) * K(u,z)) / (y * z) = R(R(x,y,T(z,u)),y * T(z,u),K(u,z)). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). (x * y) * z = (x * T(y,z)) * T(z,y). (x * T(y,z)) * T(z,y) = (x * y) * z. K(x,y) * z != u \ K(x,y) | T(u \ 1,K(x,y)) = z. T(x \ 1,K(y,z)) = T(x,K(y,z)) \ 1. T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). x != ((y \ 1) \ 1) * K(z,u) | x = 1 / (K(u,z) / y). (x \ 1) \ K(y,z) = 1 / (K(z,y) / x). 1 / (K(x,y) / z) = (z \ 1) \ K(y,x). (x \ (y \ z)) * K(u,w) = (((1 / z) * y) * x) \ K(u,w). (((1 / x) * y) * z) \ K(u,w) = (z \ (y \ x)) * K(u,w). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). (x / T(y / (y / z),u)) * z = (x * K(u,y / (y / z))) * K(z,z \ y). (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. (x * K(y,z)) \ (x * z) = T(z,y). (1 / x) * y != K(z,u) | y = (z / x) \ T(z,u). x * K(y,z) = (y / x) \ T(y,z). (x / y) \ T(x,z) = y * K(x,z). x != (1 / (y \ z)) \ K(z,u) | x = y \ T(z,u). (x \ y) * K(y,z) = x \ T(y,z). x \ ((x * K(y,z)) * u) = (K(y,z) * (u / x)) * x. L((x * K(y,z)) * u,x,x) = (x * (K(y,z) * (u / x))) * x. (x * (K(y,z) * (u / x))) * x = L((x * K(y,z)) * u,x,x). (x * (1 / (x * y))) \ K(z,u) = (x * (y * (1 / x))) * K(z,u). x != T(K(y,z),u) | x = K(y,T(z,u)). K(x,T(y,x \ z)) = K(x,T(y,z)). T(x,T(y,T(T(x,z),u))) = K(x,y) * x. K(x,T(y,z / y)) = T(K(x,y),z). T(x,K(y,x \ z)) = T(x,K(y,z / x)). T(x,K(y,z / x)) = T(x,K(y,x \ z)). K(x,T(y,z)) != u | K(T(x,z),y) = u. x != K(T(y,z),u) | x = K(y,T(u,z)). K(x,T(y,x * z)) = K(x,T(y,z)). K(x \ 1,T(y,z)) = K(z \ (x \ z),y). K(x \ (y \ x),z) = K(y \ 1,T(z,x)). K(x / T(y,z),y) = K(T(y,z) \ x,y). K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). T(x / y,T(z,y)) = K(y \ x,z) * (x / y). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). R(x,K(y,z),T(z,u)) = x. x * K(y,z) != u * z | x / T(z,y) = u. x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. (x \ (1 / y)) * x = (1 / y) * K(x \ (y \ 1),x). (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). x != (y * z) * K(y,z) | x = T(y,z) * z. (x / (x * y)) \ T(x,y) = T(x,y) * y. (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). x \ y = (x \ T(y,z)) * K(z,y). (x \ T(y,z)) * K(z,y) = x \ y. (x \ T(y,z)) * y = (x \ y) * T(y,z). (x \ T(y,z)) \ (x \ y) = K(z,y). K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). T(x,T(y,x \ z)) = x * K(x,T(y,z)). K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). x * K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = z * K(y,x). K(x,y) * z != u | u = K(y,x) \ z. K(x,y) * z != u | K(y,x) \ z = u. K(x \ y,x) * ((y / x) * z) != u | u = (x \ y) * z. K(x \ y,x) * ((y / x) * z) != u | (x \ y) * z = u. (x * y) / ((K(z,u \ 1) * x) * y) != w | K(R(u,x,y) \ 1,z) = w. T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. (x / (x / y)) \ y != z | K(y,y \ x) = z. L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. K(x,y \ R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) * (y \ 1)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). T(K(x,y),z) != u | K(T(x,z),y) = u. K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. x != K(y,z) * K(z,u) | x = K(z,u) * K(y,z). T(x,y) \ T(x,z) = K(x,z) * K(y,x). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. K(x,y) * ((1 / x) * y) = y / x. (x * y) * ((1 / (x * y)) * (K(z,z \ 1) * 1)) = (z * (1 / ((x * y) * z))) \ (y \ (x \ 1)). K(x,y) * T(x,z) != u | u = K(x,z) * T(x,y). K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. x != K(y,T(z,u)) | x = T(K(y,z),u). K(x,y) * K(z,K(y,x)) = T(K(x,y),z). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). T(x,K(y,z)) = x * K(K(z,y),x). x * K(K(y,z),x) = T(x,K(z,y)). K(K(x,y),z) = K(z,K(y,x)). T(T(x,K(y,z)),K(z,y)) != u | u = x. K(x,K(y,z)) \ 1 = K(x,K(z,y)). K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. K(x,K(y,z)) != u | K(K(z,y),x) = u. K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). K(x \ 1,y) = K(x \ 1,T(y,L(x,z,u))). K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). T(K(x,y),z) * K(y,x) != u | u = K(z,K(y,x)). T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). x != K(y,z) * T(y,u) | x = K(y,u) * T(y,z). T(T(x,y),z) = K(x,y) * T(x,T(z,y)). K(x,y) * T(x,T(z,y)) = T(T(x,y),z). x * y != z * K(T(u,w),v5) | T(x,y) = y \ (z * K(u,T(v5,w))). T(x / T(y,T(z,u)),y) = y \ (x * K(z,T(y,u))). x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). x != (y \ z) * K(y,z) | x = z / R(y,y \ z,y). K(x,y) * (x \ y) = y / R(x,x \ y,x). x / R(y,y \ x,y) = K(y,x) * (y \ x). K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). T(x \ 1,K(y,z)) \ (1 / x) = K(x * K(y,z),x \ 1). ((x \ 1) \ K(y,z)) \ (K(u,w) * v5) = (K(z,y) / x) / (v5 \ K(w,u)). T(x,T(y,T(T(x,z),u))) = T(x,y). T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). (x \ T(y,z)) * y = (x \ y) * (u / (T(y,z) \ u)). (x \ y) * (z / (T(y,u) \ z)) = (x \ T(y,u)) * y. x != y * K(y,z) | x = T(y,z). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). T(x / (x / y),z) \ y = K(x / (x / y),y \ x) * K(z,x / (x / y)). K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). K(x,y) * K(y,z) != u | T(y,x) \ T(y,z) = u. L(K(x,y),z \ 1,z) != u | u = K(x,y). L(K(x,y),z \ 1,z) != u | K(x,y) = u. ((1 / x) / y) \ K(z,u) != w | (y * x) * K(z,u) = w. T(x / y,x) \ K(z,u) != w | (x \ y) * K(z,u) = w. x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. K(x / y,T(z,y)) != u | K(y \ x,z) = u. K(K(x,y),z) != u | K(z,K(y,x)) = u. x != K(y,z) * (y \ u) | x = (y * K(z,y)) \ u. x / R(y,y \ x,y) = (y * K(x,y)) \ x. T(x,(x \ y) \ z) != u | T(x,T(z / (x \ y),y)) = u. K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. x != y * (T(y,z) \ K(u,y)) | x = T(y,z) \ ((u * y) / u). K(x,y) * K(z,y) = T(y,z) \ ((x * y) / x). T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). (x \ y) * (T(T(x \ y,x),x) \ z) = (y / x) * (T(x \ y,x) \ z). x != y * ((1 / z) * u) | x = y * (T(u,z) / z). K(x,y) / (z \ u) = K(x,y) * (T(z,u) / u). K(x,y) * (T(z,u) / u) = K(x,y) / (z \ u). (x \ (y \ (z \ 1))) * K(u,w) = ((z * y) * x) \ K(u,w). (x \ (y * K(z,u))) * K(w,v5) = ((K(u,z) / y) * x) \ K(w,v5). ((K(x,y) / z) * u) \ K(w,v5) = (u \ (z * K(y,x))) * K(w,v5). K(T(x,y),z) = K(R(x,y,R(x,u,w)),T(z,y * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). x != K(y,T(z,L(z,u,w) \ 1)) | x = K(y,z). K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). x != L(y,z \ u,z \ u) | x = (y / (z \ u)) / ((1 / u) * z). T(T(x,y \ z),z \ y) = (x / (y \ z)) / ((1 / z) * y). (x / (y \ z)) / ((1 / z) * y) = T(T(x,y \ z),z \ y). x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). L(x,y \ z,y) = L(x,y \ z,T(y,z)). L(x,y \ z,T(y,z)) = L(x,y \ z,y). K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. K(x,y) * K(z,x) != u | T(x,z) \ T(x,y) = u. T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. (x * y) / ((x * y) * x) = K(x,y) * (x \ 1). (x * y) / ((x * y) * x) != z | x \ K(x,y) = z. K(T(x,y) \ 1,y \ 1) * ((1 / T(x,y)) * z) = (1 / x) * z. (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). x * y != (y * z) * (u \ y) | x = y * (z * (u \ 1)). (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. K(x \ ((x / y) * z),x \ ((z / x) \ y)) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. x * (y \ R(y,x,y)) = T(y * x,y) / y. K(x,y) * (K(y,z) * u) = K(y,z) * (K(x,y) * u). K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). x / (K(y,z) * (u \ x)) = x * ((x \ u) * K(z,y)). (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. K(x,y \ R(x,z,u)) != w | K(x,R(x,z,u) / y) = w. (1 / x) * y != (z \ (1 / x)) * z | y = K(x \ (z \ 1),z). K(x \ (y \ 1),x) = K(y \ (x \ 1),x). K(x \ (y \ 1),y) = K(y \ (x \ 1),y). K(x \ 1,y) = K(y \ ((y \ x) \ 1),y). K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). K(x,T(y,z)) * u = K(z,K(y,x)) * (K(x,y) * u). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. x != K(y,z * K(u,z \ 1)) | x = T(K(y,z),u). T(K(x,y),z * y) = T(K(x,y),y * z). T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). x != y \ (z * K(u,T(y,z))) | x = T(y,u) \ z. T(x / T(y,T(z,x)),y) = T(y,z) \ x. T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). R(K(x,y),z,x \ 1) = K(x,y). L(x \ 1,y,K(x,z)) = x \ 1. (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). (x \ 1) * y != K(x,z) * (u * (x \ 1)) | T(K(x,z) * u,x \ 1) = y. T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). L(x \ 1,x,y) = (K(x,z) * (y * x)) \ (K(x,z) * y). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). (x \ (1 / y)) * z != (1 / y) / x | z = K(x,x \ (y \ 1)). K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). x != K(y,y \ (z \ 1)) | x = z * (y * ((z \ 1) / y)). K(x,y \ (x \ 1)) = y * (x * ((y \ 1) / x)). x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). x != K(y,z) * u | x = T(z,y) \ (z * u). K(x,y) * (K(z,x) * u) = T(x,z) \ (x * (K(x,y) * u)). T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). x != y * (z * K(y * z,u)) | x = T(y * z,u). K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. x != y / (z * (u \ y)) | x = (u * y) / (z * y). x * ((x \ y) * K(z,u)) = (y * x) / (K(u,z) * x). (x * y) / (K(z,u) * y) = y * ((y \ x) * K(u,z)). (x * ((x \ y) * K(z,u))) \ 1 = (K(u,z) * (y \ x)) * (x \ 1). L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. x / L(K(y,z),u,w) = x * L(K(z,y),u,w). (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). L(K(x,y),z,u) \ w != v5 | v5 = L(K(y,x),z,u) * w. L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. x * y = (x * (y * K(z,u))) * L(K(u,z),y,x). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). x * y != (x * (y * K(z,u))) * w | L(K(u,z),y,x) = w. (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. x != 1 / (y \ K(z,y)) | x = T(y,z). T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). T(x,x \ (y \ 1)) = T(x,(x * y) \ 1). T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)) = T(x,L(x * (y \ z),x \ 1,y) \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). T(x,y \ 1) = T(x,x \ (((x \ 1) * y) \ 1)). T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). K(x,R(T(y,z),u,w)) = K(x,R(T(y,x * z),u,w)). K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). K(x * y,K(y,z)) = K(K(z,y),y * x). K(K(x,y),y * z) = K(z * y,K(y,x)). K(x * y,K(x,z)) = K(y * x,K(x,z)). K(x * y,K(y,z)) = K(y * x,K(y,z)). x != K(y * z,K(y,u)) | x = K(z,K(y,u)). K(x * y,K(y,z)) = K(x,K(y,z)). T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). (x * ((x \ y) * K(z,u))) \ 1 = (K(u,z) * x) * ((y * x) \ 1). K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). K((x * y) / (z * y),u) = R(K(x / z,u),x,y). R(K(x / y,z),x,u) = K((x * u) / (y * u),z). K(R(x,x \ y,z),u) = R(K(x,u),y,z). x != R(y,1,z) | x = y. K(R(x,x \ 1,y),z) = K(x,z). x != K(R(y,z,y),u) | x = K(y,u). R(K(x,y),z,x) = K(x,y). K(R(x,y,z),u) = R(K(x,u),x * y,z). R(K(x,y),x * z,u) = K(R(x,z,u),y). K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). K(R(x,T(x,y) \ z,u),w) = R(K(x,w),K(y,x) * z,u). R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). (x * R(K(y,z),u,w)) \ x = K(z,R(y,y \ u,w)). K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. K(x,y) * (z * x) = (K(x,y) * z) * x. (K(x,y) * z) * x = K(x,y) * (z * x). x != K(y,L(z,u,u \ 1)) | x = K(y,z). K(R(x,x \ 1,y),L(z,u,u \ 1)) = K(x,z). R(K(R(x,y,z),u),w,v5) = R(R(K(x,u),w,v5),x * y,z). R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). L(x,y,K(x,z)) = x. x != K(y,z) * (u * y) | x = T(y,z) * T(u,y). (K(x,y) * z) * x = T(x,y) * T(z,x). x * y != K(x,z) * (u * x) | T(K(x,z) * u,x) = y. T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). (K(x,y) * (z * x)) \ 1 = x \ ((K(x,y) * z) \ 1). L(x \ 1,x,K(x,y) * z) = (K(x,y) * (z * x)) \ (K(x,y) * z). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). L(x,y,z) = L(L(x,y,z),u,K(x,w)). L(L(x,y,z),u,K(x,w)) = L(x,y,z). (K(x,y) * z) * x != u | K(x,y) * (z * x) = u. (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). L(x,y,K(z,x)) = x. L(x,y,z) = L(L(x,y,z),u,K(w,x)). L(L(x,y,z),u,K(w,x)) = L(x,y,z). (K(x,y) * z) * y = K(x,y) * (z * y). x * y != T(x,z) * T(u,x) | T(K(x,z) * u,x) = y. T(K(x,y) * z,x) = K(x,y) * T(z,x). (x \ y) * x = T(x,z) * T(T(x,z) \ y,x). T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). T(x,y) * K(z,y) = T(x * K(z,y),y). T(x * K(y,z),z) = T(x,z) * K(y,z). T(x,y) = K(y,z) * T(K(y,z) \ x,y). K(x,y) * T(K(x,y) \ z,x) = T(z,x). T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). K(x,y) * T(K(x,z) * y,x) = K(x,z) * y. T(x,y) * K(y,z) = T(x * K(y,z),y). T(x * K(y,z),y) = T(x,y) * K(y,z). T(x / y,z) * y = K(z,u) * (y * T(y \ (K(z,u) \ x),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. x \ (y * T(x,z)) = T(y,x) * K(x,z). x != y * K(z,u) | x = (y / z) * T(z,u). T(x * K(y,z),y) = (T(x,y) / y) * T(y,z). (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. x != T(y,z) * T(T(y,z) \ T(u,z),w) | x = T(y * T(y \ u,w),z). (x \ T(y,z)) * x = T(x * T(x \ y,x),z). T(x * T(x \ y,x),z) = (x \ T(y,z)) * x. x * y != T(z,u) * T(T(z,u) \ w,z) | x \ ((z \ w) * z) = y. x \ ((y \ x) * y) = K(T(y,z) \ x,y). K(T(x,y) \ z,x) = z \ ((x \ z) * x). K(T(x,y) \ z,x) = K(x \ z,x). x != K(T(y,z) \ u,y) | x = K(u / T(y,z),y). K(x \ y,x) = K(y / T(x,z),x). K(x / T(y,z),y) = K(y \ x,y). K(x,y) = K(y \ (x * T(y,z)),y). K(x \ (y * T(x,z)),x) = K(y,x). x != K(y \ (z * T(y,u)),y) | x = K((z / y) * T(y,u),y). K(x,y) = K((x / y) * T(y,z),y). K((x / y) * T(y,z),y) = K(x,y). K(x * T(y,z),y) = K(x * y,y). K(x * K(y,z),y) = K(x,y). K(x * K(y,z),z) = K(x,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). K(x * K(y \ z,u),z \ y) = K(x,z \ y). K(K(x,y) * z,x) = K(z,x). K(x,y) = K(K(z,y) * x,y). K(K(x,y) * z,y) = K(z,y). K(x * y,z) = K(x * T(y,z),z). K(x * T(y,z),z) = K(x * y,z). K(x \ K(y,z),y) = K(x \ 1,y). K(x \ T(y,z),y) = K(x \ y,y). K(x * K(y,z),z) = 1 / K(z,x). K(x * L(K(y,z),u,w),z) = K(x,z). K(K(x,y) \ z,x) = K(z,x). K(x * K(y,T(z,u)),z) = K(x,z). K(x * K(y,z),T(z,u)) = K(x,T(z,u)). K(R(K(x,y),z,u) * w,x) = K(w,x). L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). K(T(x,T(y,z)),z) = K(T(x,y),z). K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). K(K(x,y) * z,x) != u | K(z,x) = u. K(x * T(y,z),y) = K(y * x,y). T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). K(x * (R(y,z,y) \ u),y) = K(x * (u / R(y,z,y)),y). K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). x * T(x \ K(y,z),y) = K(y,z) * K(x \ 1,y). K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). x != K(y \ z,z) | x = K(z,y). K(x \ T(y,z),y) = K(y,x). K(x \ (y \ z),z / y) = K(x \ (z / y),z / y). K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). K(x \ (y * K(z,y)),y) = K(x \ y,y). K(x \ y,T(y,z)) = K(T(y,z),x). K(x * K(y,z),z) != u | K(x,z) = u. K(x * T(y,z),y) = K(T(y,z) * x,y). K(T(x,y) * z,x) = K(z * T(x,y),x). K(T(x,T(y,z)) * u,y) = K(x * u,y). K(T(x,y \ z),y) = K(T(x,(y / z) \ 1),y). K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). K(x,y) = K(y * (x / T(y,z)),y). K(x * (y / T(x,z)),x) = K(y,x). K(x * ((y * z) / y),z) = K(z * x,z). K(x \ y,T(y,z)) = K(y,T(x,z)). x != K(y,z) | x = K(z \ T(y,u),y). K(x \ y,T(y,z)) = K(T(x,z) \ T(y,u),y). K(T(x,y) \ T(z,u),z) = K(x \ z,T(z,y)). K(x * (y * K(z,u)),u) = K(x * y,u). K(x * y,z) = K(x * (y * K(z,u)),z). K(x * (y * K(z,u)),z) = K(x * y,z). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,x). K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. K(x \ T(y,z),z) != u | K(x \ y,z) = u. K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(x * y,z) = K(T(x,R(z,u,w)) * y,z). K(T(x,R(y,z,u)) * w,y) = K(x * w,y). K(x * y,T(y,z)) = K(x * T(y,u),T(y,z)). K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z)). K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). K(x * y,z) = K(x * (K(z,u) * y),z). K(x * (K(y,z) * u),y) = K(x * u,y). L(x,y,z) / L(x * K(u * w,x),y,z) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). R(x,y,z) \ R(x * K(u * w,x),y,z) = K(u * (K(x,v5) * w),R(x,y,z)). K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). L(x * K(y \ 1,x),z,u) \ L(x,z,u) = K(L(x,z,u),y \ L(K(x,w),v5,v6)). K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. x * y != T(x,z) * T(u,x) | T(T(x,z) * (x \ u),x) = y. T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). K(x,K(x,y) * z) = K(x,z). K(x,y) = K(x,K(x,z) \ y). K(x,K(x,y) \ z) = K(x,z). K(x,K(y,x) * z) = K(x,z). K(x,K(x \ 1,y) * z) = K(x,z). K(x,R(K(x,y),z,u) * w) = K(x,w). K(x,T(y,x) \ z) = K(x,y \ z). K(x,K(y,x) \ z) = K(x,z). K(x,T(y,T(z,x))) = K(x,T(y,z)). K(x,T(y,x) / z) = K(x,y / z). K(x,y * K(z,x)) = K(x,y). K(x,y * K(x,z)) = K(x,y). R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,y \ x) = K(x,y \ T(x,z)). K(x,y \ T(x,z)) = K(x,y \ x). x != K(y,z) | x = y \ T(y,z). K(x,y * K(x,z)) = x \ T(x,y). T(x,K(x \ 1,y) * z) = x * K(x,z). K(x,T(y,x \ 1) \ z) = K(x,y \ z). T(x,T(y,x) \ z) = x * K(x,y \ z). K(x,T(y,x \ z)) = K(x,T(y,z / x)). K(x,T(y,z / x)) = K(x,T(y,x \ z)). K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). K(x,(x \ y) / z) = K(x,(y / x) / z). K(x,(y / x) / z) = K(x,(x \ y) / z). K(x,y * K(x,z)) != u | K(x,y) = u. K(x,(K(x,y) * z) * u) = K(x,z * u). K(x,K(R(x,y,z),u) * w) = K(x,w). K(x,y * K(z,x)) != u | K(x,y) = u. K(x,K(y,R(x,z,u)) * w) = K(x,w). K(x,R(x,y,z) \ u) = K(x,T(R(x,y,z),w) \ u). K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(x,y \ T(z,x)) != u | K(x,y \ z) = u. K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. K(x,y * K(z,R(x,u,w))) = K(x,y). T(x,K(x \ 1,y) * z) = T(x,z). T(x,K(y,x) * z) = T(x,z). T(x,K(x,y) * z) = T(x,z). T(x,((x \ 1) \ y) \ z) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). T(x,T(y,x \ 1) \ z) = T(x,y \ z). T(x,y * K(z,x)) = T(x,y). T(x,T(x,y) \ z) = T(x,x \ z). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). K(T(x,y),z) = K(x,T(z,K(x,u) * y)). K(x,T(y,K(x,z) * u)) = K(T(x,u),y). T(x,T(y,T(z,x))) = T(x,T(y,z)). T(x,y \ z) = T(x,y \ T(z,x)). T(x,y \ T(z,x)) = T(x,y \ z). T(x,y * K(x,z)) = T(x,y). T(x,y \ 1) = T(x,y \ K(x,z)). T(x,y \ K(x,z)) = T(x,y \ 1). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u * K(w,x)). K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). T(x,y / (z / x)) = T(x,y / (x \ z)). T(x,y * x) = T(x,y * T(x,z)). T(x,y * T(x,z)) = T(x,y * x). (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). T(x,y * L(K(x,z),u,w)) = T(x,y). T(x,T(x,y) \ z) = (x \ z) \ z. T(x,T(y,x \ z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,x \ z)). T(x,y \ (x \ z)) = T(x,y \ (z / x)). T(x,y \ (z / x)) = T(x,y \ (x \ z)). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). T(x,(x \ y) * T(x,z)) = T(x,y). T(T(x,y),x \ z) = (T(x,y) \ z) \ z. R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). T(x,y * (z * K(x,u))) = T(x,y * z). T(x,T(y,x) \ z) != u | T(x,y \ z) = u. x != K(y,T(z,y \ u)) | x = K(y,T(z,u)). K(x,T(y,z / x)) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z * x)). K(x,T(y,z * x)) = K(x,T(y,z)). K(a(x,y,z),T(u,x * (y * z))) = K(a(x,y,z),T(u,(x * y) * z)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). K(x,(x * y) * z) = K(x,(y * x) * z). K(x,(y * x) * z) = K(x,(x * y) * z). K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). x != T(y,T(z,y \ u)) | x = T(y,T(z,u)). T(x,T(y,z / x)) = T(x,T(y,z)). T(x,T(y,z)) = T(x,T(y,z * x)). T(x,T(y,z * x)) = T(x,T(y,z)). T(x \ y,T(z,x)) = T(x \ y,T(z,y)). T(x \ y,T(z,y)) = T(x \ y,T(z,x)). T(x,(y * x) \ z) = T(x,T(z / (y * x),y)). T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). T(T(x,x \ y),z) = (T(x,z) \ y) \ y. T(x,y * (x * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,y * (x * z)). K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). x / T(T(y,y \ x),z) = T(y,z) \ x. T(x \ y,z) = (T(y / x,z) \ y) \ y. (T(x / y,z) \ x) \ x = T(y \ x,z). K(x,T(y,z * K(u,x))) = K(x,T(y,z)). x / T(y,z) = T(x / (x / y),z) \ x. T(x / (x / y),z) \ x = x / T(y,z). K(x,T(y \ z,u)) = K(x,T(T(z / y,u),z)). K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). x / (x / T(y,z)) = T(x / (x / y),z). T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. ((1 / ((x * y) \ x)) / y) * T(y,z) = T((1 / ((x * y) \ x)) * K(y,z),y). T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). T((x \ y) * x,z) = (x \ T(y,z)) * x. x * y != (z \ T(u,w)) * z | T(x,y) = y \ T((z \ u) * z,w). T(x \ T(y,z),x) = x \ T((x \ y) * x,z). x \ T((x \ y) * x,z) = T(x \ T(y,z),x). x * y != (z \ T(u,w)) * z | T((z \ u) * z,w) / y = x. T((x \ y) * x,z) / x = x \ T(y,z). T(x * y,z) = (y \ T(y * x,z)) * y. (x \ T(x * y,z)) * x = T(y * x,z). T((x \ y) * x,z) != u * x | x \ T(y,z) = u. x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. T(x,y) = (z \ T(z * (x / z),y)) * z. (x \ T(x * (y / x),z)) * x = T(y,z). T((x \ y) * x,z) / x != u | u = x \ T(y,z). T((x \ y) * x,z) / x != u | x \ T(y,z) = u. T(x * y,z) / y = y \ T(y * x,z). T(x,y) / z = z \ T(z * (x / z),y). x \ T(x * (y / x),z) = T(y,z) / x. T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). T(x \ T(x * y,z),x) = x \ T(y * x,z). x * (T(y * x,z) / x) = T(x * y,z). T(x,T(y * x,z)) = T(x,T(x * y,z)). (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). x != (y \ T(y * (z / y),u)) * y | x = K(y \ 1,y) * T(K(y,y \ 1) * z,u). T(x,y) = K(z \ 1,z) * T(K(z,z \ 1) * x,y). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). x != y \ T(y * z,u) | x = (y \ 1) * T((y \ 1) \ z,u). T(x * y,z) / y = (y \ 1) * T((y \ 1) \ x,z). (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. T(x * y,z) / (y * x) = (y * x) \ T((y * x) * K(x,y),z). (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. x * (y * (T(z,x) / y)) = (y * (z / y)) * x. (T(x,y) / z) / (x / z) = K((x / z) / (z \ 1),y). K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). T(x * y,z) != x * u | T(y * x,z) / x = u. K(x * (y \ z),z \ y) = K(x * (z / y),z \ y). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). x / K(y \ z,T(z,u)) != x * w | K(z,T(y,u) \ T(z,v5)) = w. T(T(x,y),z) \ T(T(x,y) * K(x * u,T(x,y)),z) = K(T(x,w) * u,T(T(x,y),z)). K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). x * T(y,T(z,x)) = K(y,z) * (x * y). K(x,y) * (z * x) = z * T(x,T(y,z)). (x * y) * z != (x * y) * K(y,T(u,x)) | T(K(y,u),x * y) = z. T(K(x,y),z * x) = T(K(x,y),z). T(K(x,y),z * x) != u | K(x,T(y,z)) = u. K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. K((x \ y) * y,T(z,y * y)) != u | K((x \ y) * y,T(z,x)) = u. K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). T(x * K(y * x,z),y) = y \ T(x * y,z). T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). x != K(y / z,T(u,y)) | x = K(z \ y,u). R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). R(K(x \ y,z),y,u) = K((y * u) / (x * u),T(z,y)). K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). T(x \ 1,y) / x != z | x \ T(1 / x,y) = z. x != R(K(y,z),z,u) | x = K(y,z). K((x * y) / z,x) = K(x / (z / y),x). x != K(y / z,y) | x = K(z \ y,y). K((x * y) / z,x) = K((z / y) \ x,x). (x * y) \ K(z,y) = y \ ((K(y,z) * x) \ 1). x \ ((K(x,y) * z) \ 1) = (z * x) \ K(y,x). x \ (y \ K(z,x)) = (y * x) \ K(z,x). (x * y) \ K(z,y) = y \ (x \ K(z,y)). x != K(y,z) * T(T(z,y),u) | x = z * K(T(z,y),u). T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). T(T(x,y) * z,x) = T(x,y) * (x \ T(x * z,x)). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). K(x,x \ 1) * T(y,z) = T(K(x,x \ 1) * y,z). T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). x != ((y \ (z / u)) * y) * u | x = ((y \ (z * (u \ 1))) * y) / (u \ 1). x * ((y \ (x \ z)) * y) = ((y \ (z * (x \ 1))) * y) / (x \ 1). ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). ((x \ (y / z)) * x) * z = z * (x * T(x \ (z \ y),x)). x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). x != (y * ((z / (u * (w \ z))) / y)) * (u * (w \ z)) | x = ((y * ((w / u) / y)) * u) * (w \ z). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). (x * K(y,T(z,u * w))) \ x = K(T(z,u * (w * K(v5,y))),y). K(T(x,y * (z * K(u,w))),w) = (v5 * K(w,T(x,y * z))) \ v5. T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x). T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). x != y * T(z,u) | x = (y * z) * K(z,u). T(K(x,x \ 1) * y,z) = (K(x,x \ 1) * y) * K(y,z). (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). x != K(y,z / u) | x = K(y,(u / z) \ 1). x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). x != K(L(y \ z,u,w) \ 1,v5) | x = L(K(z \ y,v5),u,w). K((x * y) \ (x * z),u) = L(K(y \ z,u),z,x). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). x != L(K(y,T(z,u)),z,w) | x = K(y,T(z,u)). K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). K(x \ y,y) = K(L(x \ y,x,z),y). K(L(x \ y,x,z),y) = K(x \ y,y). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). K(x \ (y * z),z) = K((y \ x) \ z,z). K((x \ y) \ z,z) = K(y \ (x * z),z). x != K((y \ z) \ u,u) | x = K(u * (z \ y),u). K(x \ (y * z),z) = K(z * (x \ y),z). x != K(y * z,y) | x = L(K(y * z,y),z,u). K(x \ (y * z),z) = L(K(z * (x \ y),z),x \ y,u). L(K(x * (y \ z),x),y \ z,u) = K(y \ (z * x),x). L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). K(L(x,y / x,z),u) = L(K(x,u),y,z). x != L(y,z,u) | x = (u * z) \ (u * (z * y)). K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). K(L(x,y,z),u) = L(K(x,u),y * x,z). L(K(x,y),z * x,u) = K(L(x,z,u),y). L(K(x,y),z,u) \ 1 = K(y,L(x,z / x,u)). K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. K(x,y) * (L(K(z,x),u,w) * v5) = K(L(z,u / z,w),x) * (K(x,y) * v5). K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(u,x)). L(K(x,y),z,K(u,x)) = K(x,y). L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). x != L(K(y,z),K(z,u) * y,w) | x = K(K(z,u) * y,z). K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). T(x,y * K(L(x,z,u),w)) = T(x,y). T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). L(T(x,y),z,u) \ L(x,z,u) = K(y * K(L(x,w,v5),v6),L(x,z,u)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). x != L(T(K(y,z),u),u,K(y,w)) | x = T(K(y,z),K(y,w) * u). T(K(x,y),z) = T(K(x,y),K(x,u) * z). T(K(x,y),K(x,z) * u) = T(K(x,y),u). T(K(x,y),K(z,x) * u) = T(K(x,y),u). T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). T(K(x,y),z * K(u,x)) = T(K(x,y),z). T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). x != K(K(y,z) * u,y) | x = K(u,y). K(L(x,K(y,z),u),y) = K(x,y). K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). x != L(K(y,z),u,w) \ 1 | x = L(K(z,y),u,w). K(x,L(y,z / y,u)) = L(K(x,y),z,u). K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. x != K(y,L(z,u,z)) | x = K(y,z). L(K(x,y),z,y) = K(x,y). K(x,L(y,z,u)) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = K(x,L(y,z,u)). K(x,L(y \ z,y,u)) = L(K(x,y \ z),z,u). L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). K(x,L(y,z * K(y,u),w)) = L(K(x,y),z * T(y,u),w). L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). a(x,y,K(z,x)) = 1. x != L(K(y,z),u * y,w) | x = K(L(y,u,w),z). K(x,y) = K(L(x,z,y),y). K(L(x,y,z),z) = K(x,z). x != L(K((y \ z) \ u,w),u,y) | x = K(z \ (y * u),w). K((x \ y) \ z,x) = K(y \ (x * z),x). (x * y) * K(z,x) = x * (y * K(z,x)). a(x,y,K(x,z)) = 1. a(x,y,K(z,x \ 1)) = 1. L(K(x,y),z,x) = K(x,y). a(x,y,K(x * z,z)) = 1. K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). T(x * K(y,x),L(y,z,x)) = x. R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),L(y,w,x)). K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). L(K(x,y),z,x) = u \ (u * K(x,y)). K(x,y) = K(L(x,z,x),y). K(L(x,y,x),z) = K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). L(K(x * y,y),z,x) = K(x * y,y). x != K(y,T(z,u)) | x = K(y,T(z,u * y)). K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). K(x,y) * L(x,z,x) = L(T(x,y),z,x). K(L(x,x,y),z) = K(x,z). K(x,y) = K(L(x,z,K(u,y)),y). K(L(x,y,K(z,u)),u) = K(x,u). (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). T(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = T(x,y). T(x,(x * y) \ z) = T(x,y \ (x \ z)). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. L(K(x,y),z,x) != u | u = K(x,y). L(K(x,y),z,x) != u | K(x,y) = u. K(L(x,y,x),z) != u | K(x,z) = u. K(x,y) != z | K(R(x,u,x),y) = z. K(x,y) = K(x,L(y,z,x)). K(x,L(y,z,x)) = K(x,y). x != L(K(y,z),u,w) | x = L(L(K(y,z),u,w),z,v5). K(x,L(y,z,u)) = L(L(K(x,y),z * y,u),y,w). L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). x != L(K(y,z),u,K(w,y)) | x = K(y,z). K(x,L(y,z,K(u,x))) = K(x,y). x != L(K(y,z),u,K(y,w)) | x = K(y,z). K(x,L(y,z,K(x,u))) = K(x,y). T(x,K(y,L(x,z,u))) = x. K(x * K(y,L(z,u,w)),z) = K(x,z). K(x,L(y,z,x)) != u | K(x,y) = u. K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,(x * y) \ z) = K(x,y \ (x \ z)). K(x,y \ (x * z)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (x * z)). L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)). K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). K(x,y) = K(x,T(y,K(z,L(x,u,w)))). K(x,T(y,K(z,L(x,u,w)))) = K(x,y). K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). K((x \ y) \ (x \ z),x) = K(y \ z,x). L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). x \ (y * K(z,x)) = (x \ y) * K(z,x). R(x,y,K(z,x)) = x. T(x,y) * (z * K(u,x)) = (T(x,y) * z) * K(u,x). (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). L(x,y,z) * (u * K(w,x)) = (L(x,y,z) * u) * K(w,x). (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). R(x,y,T(K(z,x),u)) = x. R(x,y,K(x,z)) = x. R(x \ 1,y,K(x,z)) = x \ 1. R(x,y,K(z,T(x,u))) = x. R(x,y,z) = R(R(x,y,z),u,K(x,w)). R(R(x,y,z),u,K(x,w)) = R(x,y,z). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). L(x,y,z) * (u * K(x,w)) = (L(x,y,z) * u) * K(x,w). (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). x \ (y * T(K(z,x),u)) = (x \ y) * T(K(z,x),u). L(x,y,z) * (u * K(w,T(x,v5))) = (L(x,y,z) * u) * K(w,T(x,v5)). (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). (x \ 1) * (y * K(x,z)) = ((x \ 1) * y) * K(x,z). ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). x != y * (z * K(y,u)) | x = T(y,u) * T(z,K(y,u)). (x * y) * K(x,z) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). (x * (y * K(x,z))) * x = (x * y) * T(x,z). L(x,y,x) * K(x,z) = L(T(x,z),y,x). x * y != K(z,u) * L(z,w,z) | x \ L(T(z,u),w,z) = y. T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). T(x,(y / x) \ z) = T(x,y \ (x * z)). x != K(y,(y * z) \ u) | x = (((y \ (u / z)) * y) * z) \ u. K(x,y \ (x \ z)) = (((x \ (z / y)) * x) * y) \ z. (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). K(x,L(y,x \ 1,x) \ z) = K(x,((x \ 1) * y) \ (x \ z)). K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). K((x \ y) \ z,x) = K(y \ (z * x),x). T(x / T(y,z),y) = (y \ x) * K(z,y). L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). T(x,(y * (1 / x)) \ z) = T(x,R(y,x \ 1,x) \ (x * z)). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). K((x / y) \ z,y) = K(x \ (z * y),y). x != K((y \ z) \ (y \ u),y) | x = K(z \ u,y). K(x \ ((y \ z) * y),y) = K(x \ z,y). x != y * K(z,u) | x = (y / T(u,z)) * u. T(x / T(y,z),y) = ((y \ x) / T(y,z)) * y. ((x \ y) / T(x,z)) * x = T(y / T(x,z),x). x != K(y \ (z * u),u) | x = K(u * (y \ z),u). K((x / y) \ z,y) = K(y * (x \ z),y). K(x \ y,z) = K((x * z) \ (y * z),z). K((x * y) \ (z * y),y) = K(x \ z,y). K(x \ y,z) = K(z * (x \ (z \ y)),z). K(x * (y \ (x \ z)),x) = K(y \ z,x). K(x \ y,z) = K(z * ((x * z) \ y),z). K(x * ((y * x) \ z),x) = K(y \ z,x). x != K(y \ ((z \ u) * z),z) | x = K(y \ u,z). K(x \ (y \ z),y) = K((x * y) \ z,y). K((x * y) \ z,y) = K(x \ (y \ z),y). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. x != (K(y,z) / z) \ 1 | x = T(z,y). T(x,L(y,z,K(u,x))) = T(x,y). T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). K(x,y \ x) = K(x,L(y \ x,y,z)). K(x,L(y \ x,y,z)) = K(x,y \ x). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). K(x,(y * z) \ (y * x)) = K(x,z \ x). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). K(x,y \ (z * x)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,z \ (y * x)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). x != K(y,(z \ u) \ y) | x = K(y,y * (u \ z)). K(x,y \ (z * x)) = K(x,x * (y \ z)). K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x,y \ ((y * z) * x)) = K(x,x * z). L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). x != K(y,y * z) | x = K(y,z * y). K(x,y \ ((y * z) * x)) = K(x,z * x). x != K(y,z * y) | x = L(K(y,z * y),z,u). K(x,y \ ((y * z) * x)) = L(K(x,z * x),z,u). L(K(x,y * x),y,z) = K(x,u \ ((u * y) * x)). T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. T((x * y) / x,T(x,z)) = T(y,K(x,z)). K(x,y) * z != T(x,y) * T(u,K(x,y)) | T(x * u,K(x,y)) = z. T(x * y,K(x,z)) = x * T(y,K(x,z)). T(x,T(y,z)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z)). T(T(x,K(y,z)),y) = T(x,T(y,z)). x != T(y,T(z,u)) | x = y * T(K(y,z),u). T(T(x,y),K(y,z)) = x * T(K(x,y),z). K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). x != T(T(y,K(z,u)),z) | x = K(y,z) * T(y,K(z,u)). T(x,T(y,z)) = K(x,y) * T(x,K(y,z)). K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). L(x,T(y,T(x,z)),x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). T(K(x,y),z) = T(K(x,y),T(z,y)). T(K(x,y),T(z,y)) = T(K(x,y),z). x != T(y,T(z,z \ u)) | x = T(y,T(z,u)). T(K(x,y \ z),y) = T(K(x,y \ z),T(y,z)). T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). T(x * y,K(y,z)) / y = T(x,K(y,z)). T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). x \ T(y,K(x,z)) = T(x \ y,K(x,z)). T(x,K(y,z)) * y = T(x * y,K(y,z)). T(x * y,K(y,z)) = T(x,K(y,z)) * y. x * T(y,z) != T(y,T(z,u)) | x = K(u,K(z,y)). K(x,K(y,z)) = K(z,K(y,x)). K(K(x,y),z) = K(x,K(y,z)). K(x,K(y,z)) = K(y,K(z,x \ 1)). K(x,K(y,z \ 1)) = K(z,K(x,y)). K(x \ 1,K(y,z)) = K(y,K(z,x)). x != K(y,K(z,u)) | x = K(y * z,K(z,u)). K(x,K(y,z)) = K(z * y,K(y,x)). K(x * y,K(y,z)) = K(z,K(y,x)). T(K(x,y),z) = K(y,K(x,z)) \ K(x,y). K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). T(x,K(y,z)) = x * K(z,K(y,x)). x * K(y,K(z,x)) = T(x,K(z,y)). K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,K(y,z)) \ 1 = K(z,K(x,y)). K(x,K(y,z)) * K(x,y) = T(K(x,y),z). K(x,y) * K(x,K(y,z)) = T(K(x,y),z). K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. x != K(R(y \ 1,z,u) \ 1,w) | x = R(K(y,w),z,u). K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). T(x,K(y,z)) * K(y,K(z,x)) = x. K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). K(x,K(y,z)) != u | K(z,K(y,x)) = u. K(K(x,y),z) = K(K(y,u) * x,K(y,z)). K(K(x,y) * z,K(x,u)) = K(K(z,x),u). K(K(x,y),z) = K(x,K(K(x,u) \ y,z)). K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). K(x,K(y,z * y)) = K(y,K(x,z)). K(x,K(y,y * z)) = K(y,K(x,z)). x != K(L(y,z,u) \ 1,w) | x = L(K(y \ 1,w),z,u). K(x,K(y,L(z,u,w))) = L(K(z \ 1,K(x,y)),u,w). L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). x != K(y,K(z,u)) | x = K(u,K(z,y)). K(x,K(y,z)) = K(x,K(y,z * y)). K(x,K(y,z * y)) = K(x,K(y,z)). K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). K(x,K(y,z)) = K(y,K(x,z)). K(K(x,y),z) = K(y,K(z,x)). K(x,K(y,z)) != u | K(y,K(x,z)) = u. K(x \ y,K(x,z)) = K(x,K(y,z)). x != K(y,K(z,u)) | x = K(z,K(u,y \ 1)). K(x,K(y,z)) = K(x,K(z,y \ 1)). K(x,K(y,z \ 1)) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(K(y,z),u). K(x,K(y,z)) = K(K(y,x),z). K(K(x,y),z) = K(y,K(x,z)). K(x,K(y,z)) = K(z,K(x,y)). T(x,K(y,z)) = K(y,K(x,z)) * x. K(x,K(y,z)) * y = T(y,K(x,z)). (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. K(x,y) * K(y,K(z,x)) = T(K(x,y),z). K(x,K(y,z)) = K(y,K(x,K(y,u) * z)). K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). K(x,K(y,z)) = K(y,K(x,L(z,u,K(y,w)))). K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). x * K(y,K(z,x)) = T(x,K(y,z)). K(K(x,y),z) = K(x,K(z,y)). K(K(x,y),z) = K(z,K(x,y)). x != K(K(y,z),u) | x = K(z,K(u,y)). K(x,K(y,z)) = K(x,K(z,y)). K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. K(R(K(x,y),z,u),w) = K(y,K(R(x \ 1,z,u) \ 1,w)). K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). K(x,K(y,z)) != u | K(z,K(x,y)) = u. x * K(K(y,z),x) = T(x,K(y,z)). K(x,K(y,z)) = K(y,K(x \ 1,z)). K(x,K(y \ 1,z)) = K(y,K(x,z)). K(x \ 1,K(y,z)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z)). x != K(y,K(z,u)) | x = K(z,u) * K(u,T(z,y)). K(x,K(y,z)) = K(x,y) * K(y,T(x,z)). K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). x != K(y \ z,K(y,u)) | x = K(z,K(y,u)). K(x,K(y,x \ z)) = K(z,K(x,y)). x != K(y,K(z,u)) | x = K(u \ 1,K(y,z)). K(x,K(y,z)) = K(x \ 1,K(y,z)). K(x \ 1,K(y,z)) = K(x,K(y,z)). T(x,K(y,z)) = K(z,K(x,y)) * x. K(x,K(y,z)) * y = T(y,K(z,x)). K(x,K(y,y / z)) = K(y,K(x,z)). K(x,(y \ T(y * z,u)) / z) = K(u,K(x,((y \ 1) / z) \ 1)). K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). x * K(x,K(y,z)) = T(x,K(z,y)). K(x,K(y,z)) != u | K(y,K(z,x)) = u. K(K(x,y),z) * u != K(z,K(x,y)) | 1 = u. 1 = K(x,K(y,z)) * K(x,K(y,z)). K(x,K(y,z)) * K(x,K(y,z)) = 1. T(K(x,y),z) = K(x,y) * K(z,K(x,y)). K(x,y) * K(z,K(x,y)) = T(K(x,y),z). K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. x / K(y,K(z,u)) = x * K(y,K(z,u)). K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. K(x,K(y,z)) != u | K(x,K(z,y)) = u. x != K(y \ L(y,z,u),w) | x = (L(y,z,u) \ y) * T(y \ L(y,z,u),w). K(x \ L(x,y,z),K(u,w)) = (L(x,y,z) \ x) * T(x \ L(x,y,z),K(w,u)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). T(x,K(y,z)) = K(x,K(z,y)) * x. K(x,K(y,z)) * x = T(x,K(z,y)). K(x,K(y,z)) = K(x,K(y \ z,z)). K(x,K(y \ z,z)) = K(x,K(y,z)). K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). T(x,y * z) = T(x,y * T(z,K(x,u))). T(x,y * T(z,K(x,u))) = T(x,y * z). x != K(y,K(z,u)) | x = K(y,K(u,z)). K(x,K(y,y * z)) = K(y,K(z,x)). x != K(y,K(z,u)) | x = K(z,K(y,u)). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). K(x,K(y \ z,u)) = K(x,K(u,z \ y)). K(x,K(y,z)) = K(x,K(y \ 1,z)). K(x,K(y \ 1,z)) = K(x,K(y,z)). x != y * K(z,K(u,y)) | x = T(y,K(u,z)). T(x,K(y,z)) = T(x,K(z,y)). T(T(x,K(y,z)),K(y,z)) = x. K(x,y) * (z * K(y,x)) = T(z,K(x,y)). x * K(y,z) = T(K(y,z) * x,K(z,y)). T(K(x,y) * z,K(y,x)) = z * K(x,y). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). x * K(y,z) = T(K(z,y) \ x,K(z,y)). T(K(x,y) \ z,K(x,y)) = z * K(y,x). x != T(T(y,z),K(z,u)) | x = T(y,T(z,u)). T(T(x,y),K(z,y)) = T(x,T(y,z)). T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. T(x,K(y,z)) * K(y,z) = K(y,z) * x. T(T(x,K(y,z)),K(y,z)) != u | u = x. T(T(x,K(y,z)),z) = T(x,T(z,y)). K(x,y) * z != u * K(x,y) | u = T(z,K(x,y)). K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. T(K(x,y),z) * z = z * K(x,y). T(x,K(y,z)) != u | u = T(x,K(z,y)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. T(x,K(y,z \ 1)) = x * K(x,K(y,z)). K(x,K(y,z / u)) = K(x,K(y,u / z)). T(x,K(y,x \ z)) = K(z,K(x,y)) * x. K(x,K(y,z)) = K(1 / x,K(y,z)). K(1 / x,K(y,z)) = K(x,K(y,z)). x != K(y,K(z,u)) | x = K(z,K(u,y)). K(x,K(y,z)) = K(x,K(x / z,y)). K(x,K(x / y,z)) = K(x,K(z,y)). K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). x * y != K(z,K(u \ 1,w)) | x \ K(z,K(u,w)) = y. (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). K(x,T(y,z)) * z = z * K(x,y). x * y != x * K(z,u) | T(T(K(z,u),x),x) = y. T(T(K(x,y),z),z) = K(x,y). x * y != y * K(z,u \ y) | x = K(z,y / u). T(K(x,y \ z),z) = K(x,z / y). x * y != y * K(z,T(u,y)) | x = K(z,u). T(K(x,T(y,z)),z) = K(x,y). x * (x * K(y,z)) = K(y,z) * (x * x). K(x,y) * (z * z) = z * (z * K(x,y)). K(x,y \ z) * z = z * K(x,z / y). x != T(T(K(y,z),u),w) | x = K(y,T(T(z,w),u)). K(x,y) = K(x,T(T(y,z),z)). K(x,T(T(y,z),z)) = K(x,y). x * L(K(y,z),u,w) = L(T(K(y,z),x),u,w) * x. L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). x * R(K(y,z),u,w) = R(T(K(y,z),x),u,w) * x. R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. K(T(x,y),T(z,y)) = K(x,z). K(x \ y,T(z,y)) = K(y / x,z). T(K(x,y \ z),y) = K(x,z / y). x * R(K(y,z),u,w) = R(K(y,T(z,x)),u,w) * x. R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). T(K(x,y),z \ 1) = K(x,T(y,z)). K(x \ y,T(z,x)) = K(y / x,z). K(x,T(y,z)) = K((z * x) / z,y). K((x * y) / x,z) = K(y,T(z,x)). x != K(R(y,z,u),T(w,v5)) | x = K(R(T(y,v5),z,u),w). K(R(x,y,z),u) = K(R(T(x,w),y,z),T(u,w)). K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). x != K(y,T(T(z / u,w),z)) | x = K(y,T(u \ z,w)). K(x,y / z) = K(x,T(z \ y,y)). K(x,T(y \ z,z)) = K(x,z / y). K(x,T(y \ z,y)) = K(x,z / y). K(x,T(y * z,z)) = K(x,T(y * z,y)). K(x,T(y,z \ y)) = K(x,T(y,z)). x != K(y,T(T(z,u),u \ 1)) | x = K(y,z). K(x,T(y,z)) = K(T(x,z \ 1),y). K(T(x,y \ 1),z) = K(x,T(z,y)). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),z) = K(x,(y * z) / y). K(x,(y * z) / y) = K(T(x,y),z). K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). K(T(x,y \ z),y) = K(x,z / (z / y)). K(T(x,y),T(z,x \ u)) = K(T(u / (u / x),y),z). K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). K(x,T(y,z)) = K(x * K(z,x),y). K(x * K(y,x),z) = K(x,T(z,y)). K(T(x,y),z) = K(x,z * K(y,z)). K(x,y * K(z,y)) = K(T(x,z),y). T(x,y) = x * K(T(x,z),T(y,z)). x * K(T(x,y),T(z,y)) = T(x,z). K(T(x,y),T(z,u)) = K(T(x * K(u,x),y),z). K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). K(x,y) * T(y,z) = T(y * K(T(x,z),y),z). T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). K(x,T(y,z)) * (z * K(y,x)) = z. K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). K(x,K(y,z)) = K(x,K(z,y \ x)). K(x,K(y,z \ x)) = K(x,K(z,y)). x * y != K(z,T(u,w)) * w | (w * K(z,u)) / y = x. (x * K(y,z)) / (y \ x) = T(y,T(z,x)). (x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). T(K(x,y),z) * (z / y) = (z / y) * K(x,y). K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). K(x / y,x / z) != u | K(y \ x,z \ x) = u. K(x,T(y,z)) = K(z / (z / x),y). K(x / (x / y),z) = K(y,T(z,x)). x != K(y,T(z,z * u)) | x = K(y,T(z,u)). K((x * y) / z,x) = K(z \ (x * y),T(x,y)). K(x \ (y * z),T(y,z)) = K((y * z) / x,y). x / K(x / y,z) = K(y \ x,z) \ x. K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). x != T(K(y * z,z \ (y \ 1)),z) | x = ((z \ y) * (1 / y)) * z. K(x * y,(x \ 1) / y) = ((y \ x) * (1 / x)) * y. K(x,T(y,z \ 1)) = K(x,T(y,z)). T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. K(a(x,y,z),T(u,x * (y * z))) = K(((x * y) * z) / (x * (y * z)),u). K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). K((x \ y) * y,T(z,y \ x)) = K(y / (y \ x),z). K(x \ y,(1 / z) \ x) = K(y / x,x * z). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). K(x,T(T(y,z),z)) != u | K(x,y) = u. K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(x,T(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). x != K(y,(z * u) / z) | x = ((z * ((y * u) / y)) / z) / ((z * u) / z). K(T(x,y),z) = ((y * ((x * z) / x)) / y) / ((y * z) / y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). T(x,y * K(T(y,z),u)) = T(x,T(y,u * K(z,u))). T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). T(x,T(T(y,z),z)) = T(x,y). x * K(T(x,y),z \ 1) = T(x,z \ K(y,z \ 1)). T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). T(x,T(y \ z,y)) = T(x,z / y). T(x,T(y,z)) = T(x,(z * y) / z). T(x,(y * z) / y) = T(x,T(z,y)). T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). T(x,T(y * z,z)) = T(x,(1 / z) \ y). T(x,T(y,z \ y)) = T(x,T(y,z)). T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). T(x / T(y,z),y) = T(y,T(z,x)) \ x. K(x,T(y,z)) * (z * x) = z * T(x,y). K(x,T(y,z * u)) = K(x,T(y,(z * K(w,x)) * u)). K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). T(x,K(y,z \ x)) = x * K(x,K(z,y)). K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). x != K(y,T(z,u \ 1)) | x = K(y,T(z,u \ y)). K(x,T(y,z)) = K(x,T(y,z \ x)). K(x,T(y,z \ x)) = K(x,T(y,z)). K(x,y / (y / z)) != u | K(T(x,y),z) = u. T(x,y / (y / z)) = T(x,T(z,y)). T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T(T(z \ (y \ z),T(y,u)),z)). T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). x != T(y,T(z,u \ z)) | x = T(y,T(z,u \ 1)). T(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = T(x,T(y,z)). T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). T(x,y / z) = T(x,T(z \ y,y)). T(x,T(y \ z,z)) = T(x,z / y). T(x,(y / z) \ 1) = T(x,T((z \ y) \ 1,z)). T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). T(x,T(y,z \ u)) = T(x,T(y,u \ z)). T(x,y \ (z \ y)) = T(x,y / (y * z)). T(x,y / (y * z)) = T(x,y \ (z \ y)). K(K(x,y),z) != u | K(z,K(x,y)) = u. K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. T(x * K(y,z),K(y,z)) != u | u = K(y,z) * x. T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. K(x,T(y \ z,y)) != u | K(x,z / y) = u. T(K(x,T(y,z)),z) != u | K(x,y) = u. K(T(x,y),T(z,y)) != u | K(x,z) = u. K(x \ y,T(z,y)) != u | K(y / x,z) = u. K(x \ y,T(z,x)) != u | K(y / x,z) = u. K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. K(x,T(y \ z,z)) != u | K(x,z / y) = u. K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. K(x,T(T(y,z),z \ 1)) != u | K(x,y) = u. K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(T(x,y),y \ z) != u | K(x,z / y) = u. K((x \ y) * y,T(z,x)) != u | K(y * (y / x),z) = u. K(T(x,y \ 1),z) != u | K(x,T(z,y)) = u. x != T(y,K(z,u)) | x = T(y,K(u,z)). x \ T(y,K(x,z)) = T(x \ y,K(z,x)). K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). x != K(y,T(z,u)) | x = T(K(y,z),u \ 1). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). K(x,y) * z != K(x,T(y,R(T(x,u),w,v5))) | 1 = z. 1 = K(x,K(y,R(T(x,z),u,w))). K(x,K(y,R(T(x,z),u,w))) = 1. K(x,y) * z != K(x,T(y,R(x,u,w))) | 1 = z. 1 = K(x,K(y,R(x,z,u))). K(x,K(y,R(x,z,u))) = 1. K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. T(x,K(y,R(x,z,u))) = x. T(x,y) = T(T(x,y),K(z,R(x,u,w))). T(T(x,y),K(z,R(x,u,w))) = T(x,y). K(x,K(y,z)) * K(x,y) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). x != K(K(y,z),u) | x = K(y,K(z,u)). K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). x * K(y,T(x,z)) = T(x,K(y,z)) * K(y,x). T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). x != K(y \ z,K(y,u)) | x = K(y,K(z,u)). K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). x != K(y,T(z / u,z)) | x = K(y,u \ z). K(x,y / z) * K(x,K(y,y / z)) = K(x,z \ y). K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). L(K(x,T(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K(x,y) * T(z * K(y,x),u) = T(K(y,x) * z,u) * K(x,y). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). x != K(y,z) * (K(u,y) * w) | x = K(u,y) * (K(y,z) * w). T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z,z \ y)). T(x,K(y,y \ z)) = T(x,K(z,y)). T(x,K(y,y * z)) = T(x,K(z,y)). T(x,K(y \ 1,z)) = T(x,K(y,z)). T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. T(x,K(y,y * z)) = T(x,K(y,z)). T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. x != T(K(y,z) * u,K(z,y)) | x = u * K(y,z). T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). x != K(y,K(z,u)) * z | x = T(z,K(u,y)). T(x,K(y,x \ z)) = T(x,K(y,z)). x != T(y,K(z,y \ u)) | x = T(y,K(z,u * (y \ 1))). T(x,K(y,z)) = T(x,K(y,z * (x \ 1))). T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,x * z)). T(x,K(y,x * z)) = T(x,K(y,z)). T(x,K(y,x * z)) = T(x,K(z,y)). T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). (x * x) * y != x * (x * K(z,u)) | T(K(z,u),x * x) = y. T(K(x,y),z * z) = K(x,y). K(x,y) = K(x,T(y,z * z)). K(x,T(y,z * z)) = K(x,y). T(x,T(y,z)) * T(z,x) = z * T(x,y). x * y != K(z,T(u,w)) * (w * z) | (w * T(z,u)) / y = x. (x * T(y,z)) / T(x,y) = T(y,T(z,x)). T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). x != y * K(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,z \ x)) = T(x,K(y,z)). T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. x \ K(x,y) = T(x \ K(x,y),K(z,x)). T(x \ K(x,y),K(z,x)) = x \ K(x,y). K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). R(x,K(y,z) * u,K(u,K(y,w))) = x. K(x * K(y,z),K(y,u)) = K(x,K(y,u)). K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). K(x,K(y,(x \ z) \ u)) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). K(x,K(y,z)) * K(y,x) != u | u = K(y,T(x,z)). K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. x * y != z * T(u,u \ w) | (z * ((u \ w) \ w)) / y = x. (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). (x * T(y,z)) / T(x,y) = T(y,T(z * K(y,u),x)). T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). T(x \ K(x,y),x) = T(x \ K(x,y),T(x,z)). T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). K(x,x * K(y,z)) = K(x,K(y,z)). x != K(y,K(z,u)) | x = K(y * K(u,z),y). K(x,x * K(y,z)) = K(x * K(z,y),x). K(x * K(y,z),x) = K(x,x * K(z,y)). K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w / L(x,z,u))). K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. x != K(y * K(z,y),u) | x = K(y,T(u,z)). K(x,T(y,L(z,u,x))) = K(x,T(y,z)). K(x,T(y,z \ (x * u))) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). K(T(x,y \ z),y) != u | K(T(x,z),y) = u. K(x,K(y,z \ (u \ 1))) != w | K(x,K(y,u * z)) = w. K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. K(T(x \ y,x),z) != u | K(y / x,z) = u. K(x,y \ T(z,y)) != u | K(x,z / y) = u. K(x,(y \ 1) \ z) != u | K(x,y * z) = u. K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x,y \ z) != u | K(x,(1 / y) * z) = u. K(x,(y \ (z \ 1)) \ u) != w | K(x,(z * y) * u) = w. K(x,(y * (z \ 1)) \ u) != w | K(x,(z / y) * u) = w. K(x,y / z) != u | K(x,y * (z \ 1)) = u. K(x,T(y,z \ (u \ 1))) != w | K(x,T(y,u * z)) = w. K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. x * y != T(z / T(u,z),u) | (T(u,z) \ z) / y = x. (T(x,y) \ y) / x = (x \ y) / T(x,y). T(x \ y,y) / x = (x \ y) / T(x,y). T(x,(y * z) \ (y * x)) = T(x,z \ x). T(x,y \ (z * x)) = T(x,(z \ y) \ x). T(x,(y \ z) \ x) = T(x,z \ (y * x)). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. (x / y) \ T(x,K(z,u)) != w | y * K(z,K(u,x)) = w. K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). K(R(x,y,z),T(u,x \ w)) = K(R(w / (w / x),y,z),u). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). x != (y / z) * K(u,z) | x = y / T(z,u). T(K(x,y),z) * (z / y) = z / T(y,x). K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). x != K((y * z) / u,y) | x = K((u / z) \ y,y). K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K((1 / y) / x,x * y). K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)). T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). K(x,y) * K(x,K(y,z \ u)) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). x * y != (z * (u * w)) / K(L(u,w,z),w) | x \ (z * (w * u)) = y. (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),(x \ u) \ w). K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. L(K(x,T(y,z)),z,u) = K(x,(u * (y \ z)) \ (u * z)). K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). K(x,y \ (z * K(u,z))) != w | w = K(x,(z \ y) \ K(u,z)). K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. L(K(x,x * y),y,z) = K(x,u \ ((u * y) * x)). K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. (x * (y * z)) * K(z,L(y,z,x)) != u | u = x * (z * y). (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. K(L(x \ y,x,z / y),x) != u | K((z / y) \ (x \ z),x) = u. L(K(x,x * (y \ z)),y \ z,u) = K(x,y \ (z * x)). K(x,y) * z != K(x,u) * (w * K(x,y)) | T(K(x,u) * w,K(x,y)) = z. T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). x != K(K(y,z) \ u,y) | x = K(u,y). K((x * K(y,z)) \ u,y) = K(x \ u,y). K((x * K(y,z)) \ u,z) = K(x \ u,z). K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). K((x * (y * z)) \ u,y) = K((x * (z * y)) \ u,y). K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). K(T(x * K(y * K(z,u),w),y * K(z,u)),u) = K(y \ (x * T(y * K(z,u),w)),u). (x * K(y \ z,u)) \ x = K(u,(y * K(w,u)) \ z). K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). L(K(x,y),z,T(y,u)) = K(x,y). L(K(x,y),z,T(x,u)) = K(x,y). x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). L(K(x,y),z,x \ 1) = K(x,y). x != L(K(y,(z \ u) \ w),w,z) | x = K(y,u \ (z * w)). K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). x != L(K(y,z),u * z,w) | x = K(y,L(z,u,w)). K(x,y) = K(x,L(y,z,x \ 1)). K(x,L(y,z,x \ 1)) = K(x,y). (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). x != (y * ((z / u) / y)) * u | x = u * (y * ((u \ z) / y)). x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. K(L(K(x,y),z,u),w) = L(K(x,K(y,w)),z,u). L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). x * K(y,K(z,u)) = (x * K(z,y)) * T(K(y,z),u). (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). x != L(K(y,K(z,u)),w,v5) | x = K(y,K(u,L(z,w,v5))). K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). x != L(K(y,K(z,u)),w,v5) | x = K(L(K(y,z),w,v5),u). K(x,K(y,L(z,u,w))) = K(L(K(z,x),u,w),y). K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. K(x,K(y,z * u)) = K(x,K(z * u,L(y,u,z))). K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). x * y != (z * (u * K(w,v5))) * L(K(v5,w),u,z) | (z * u) / y = x. (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * (y * K(z,u))),y,x). L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. T(x,L(K(y,z),u,w)) = x * K(L(K(y,z),u,w),x). x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). x != K(T(y / (y / z),u),w) | x = K(T(z,u),T(w,y)). K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). K(T(x,y),T(z,u)) = K(T(x,y),T(z,x * u)). K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). K(x * y,x \ (1 / y)) = ((y \ x) * (1 / x)) * y. K((x \ y) * y,T(z,y \ x)) != u | K((x / y) \ y,z) = u. T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). x != T(y,z \ K(u,z \ 1)) | x = T(y,K(u,z \ 1) / z). x * K(T(x,y),z \ 1) = T(x,K(y,z \ 1) / z). T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). K(x,T(((y * K(z,x)) * u) / w,y * u)) != v5 | K(x,w \ ((y * K(z,x)) * u)) = v5. T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). x != K(y,K(z,u)) * K(y,z) | x = T(K(y,z),u). T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). x != K(y,z) * K(y,K(z,u)) | x = T(K(y,z),u). T(K(x,y),K(z,y) \ u) = T(K(x,y),u). K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). x != K(y,z \ u) * u | x = u * K(y,u / z). T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). x != (y * T(z,u)) / T(y,z) | x = T(z,T(u,y)). T(x,T(y * K(x,z),u)) = T(x,T(y,u)). T(x,T(y / (x \ z),u)) = T(x,T(y / (z / x),u)). T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). K(x,T(y,T(((z * u) / z) * x,x \ z))) = K(x,T(y,z \ (x * (z * R(u,x,x \ z))))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). K(L(x,y,x),z) = K(T(u * x,x) / u,z). K(x,y) = K(T(z * x,x) / z,y). K(T(x * y,y) / x,z) = K(y,z). K(T(x,y \ x) / y,z) = K(y \ x,z). x != K(y * K(z,T(y,u)),w) | x = K(y,T(w,T(z,u))). K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). x * (K(y,x) / T(x,z)) = T(x,z) \ ((x \ 1) \ K(y,x)). T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). T(T(x,K(y,z)),K(y,u)) = K(y,K(x,z)) * T(x,K(y,u)). K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). x != (y * K(z,u)) \ y | x = K(u,z). K(x,(y * K(z,x)) \ u) = K(x,y \ u). K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. K(x,(y * x) \ z) = K(x,(x * y) \ z). K(x,(y * K(x,z)) \ u) = K(x,y \ u). K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). K(x,y \ z) = K(x,(K(x,u) * y) \ z). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(x,(y * (x \ z)) \ u) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). x != K(y,(y * z) \ u) | x = K(y,z \ (y \ u)). K(x,(y * x) \ z) = K(x,y \ (x \ z)). K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). K(x,a(K(x,y),z,u)) = K(x,(z * u) \ ((K(x,y) * z) * u)). K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). T(x,(y * K(x,z)) \ u) = T(x,y \ u). T(x,y \ z) = T(x,(K(u,x) * y) \ z). T(x,(K(y,x) * z) \ u) = T(x,z \ u). T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). x != T(y,(K(z,y) * u) \ (K(z,y) * w)) | x = T(y,u \ w). T(x,y \ (K(z,x) * u)) = T(x,y \ u). T(x,y \ ((x \ z) * x)) = T(x,y \ z). T(x,y \ (z * x)) = T(x,y \ (x * z)). T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). L(T(x,y \ z),u,w) \ L(x,u,w) = K(y \ ((x \ z) * x),L(x,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). K(x,T(y,z \ u)) = K(x,T(y,z \ (y \ u))). K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). x != T(y,z \ (y * u)) | x = T(y,(z / y) \ u). T(x,y \ (z * x)) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,y \ (z * x)). L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). K(x * y,T(x,z)) = K(x * y,T(x,y \ z)). K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). x != K(y * z,T(y,u)) | x = K(z * y,T(y,u)). K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). K(x * y,T(y,z)) = K(x * y,T(y,x \ z)). K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). K(x * y,T(y,z)) = K(x * y,T(y,x * z)). K(x * y,T(y,x * z)) = K(x * y,T(y,z)). K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. K(x,(y / x) \ z) = K(x,y \ (x * z)). K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. R(x,y,z) * (x \ K(u,T(x,w))) = (x \ R(x,y,z)) * T(K(u,x),w). (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). R(K(x,y),z,u) * w != T(R(K(x,y),z,u),v5) * v5 | T(v5,R(K(x,y),z,u)) = w. T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). x != K(L(K(y,z),u,w),v5) | x = K(v5,K(z,L(y,u,w))). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,w,v5))) | x = K(y,K(u,L(z,w,v5))). K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u * z,w))). K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). K(x * y,x \ (1 / y)) != z | K(x \ y,y \ x) = z. K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). K(x,K(y,z \ 1) / z) = K(T(x,((z \ 1) / ((1 / (z \ 1)) \ y)) \ 1),z \ 1). K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,z \ y),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). x != T(K(y,z),K(u,z) \ w) | x = T(K(y,z),w). T(K(x,y),z / K(u,y)) = T(K(x,y),z). T(K(x,y),z * K(y,u)) = T(K(x,y),z). K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). x != K(y,K(z,L(u,w,v5))) | x = K(u,K(z,L(y,w,v5))). K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u * z,w))). K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). T(x,K(y,z)) * K(y,u) = T(x * K(y,u),K(y,z)). T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). x != T(y,K(z,u)) * K(z,y) | x = y * K(z,T(y,u)). T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). x != K(y,R(z / u,w,v5) \ 1) | x = R(K(y,u / z),w,v5). K(x,(y * z) / (u * z)) = R(K(x,y / u),y,z). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,y),z,u) = K(x,(z * u) / ((y \ z) * u)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). x != R(K(y,z),u,y) | x = K(y,z). K(x,(y * x) / z) = K(x,y / (z / x)). R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). x != K(y,z / (u / y)) | x = K(y,z / (y \ u)). K(x,(y * x) / z) = K(x,y / (x \ z)). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). x != K(y,R(z,z \ u,w)) | x = (v5 * R(K(z,y),u,w)) \ v5. R(K(x,y),z,u) = (w * R(K(y,x),z,u)) \ w. (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). K(x,R(y,z,u)) = R(K(x,y),y * z,u). R(K(x,y),y * z,u) = K(x,R(y,z,u)). K(x,R(y,T(z,y),u)) = R(K(x,y),z * y,u). R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). K(x,R(R(y,z,u),z * u,w)) = R(K(x,R(y,z,u)),(y * z) * u,w). R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),K(z,y) * u,w). R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). x != R(K(y,z),z * K(u,y),w) | x = K(y,z * K(u,y)). K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). K(x,R(y,z,x)) = K(x,y). x != R(K(y,z),u,y \ 1) | x = K(y,z). K(x,R(y,z,x \ 1)) = K(x,y). x != R(K(y,z),y,u) | x = K(y,z). K(x * y,R(x,y,z)) = K(x * y,x). x != R(K(y \ 1,z),u,w) | x = K(R(y,u,w) \ 1,z). K(x \ 1,R(y,z,u)) = K(R(x,y * z,u) \ 1,y). K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). K(x,y / (z * x)) = K(x,(y / x) / z). K(x,(y / x) / z) = K(x,y / (z * x)). T(x,R(y,z,x)) = x * K(x,y). K(x,K(y,R(z,u,x))) = K(x,K(y,z)). T(x,R(y,z,x \ 1)) = x * K(x,y). T(x,R(y,z,x)) = T(x,y). T(x,(y * x) / z) = T(x,y / (z / x)). T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). T(x,R(y,z,x \ 1)) = T(x,y). T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). x != K(y,(z / y) / u) | x = K(y,(y \ z) / u). K(x,y / (z * x)) = K(x,(x \ y) / z). K(x,(x \ y) / z) = K(x,y / (z * x)). x != T(y,z / (u / y)) | x = T(y,z / (y \ u)). T(x,(y * x) / z) = T(x,y / (x \ z)). K(x,y / z) = K(x,(x * y) / (z * x)). K(x,(x * y) / (z * x)) = K(x,y / z). K(x,(x \ y) / (z / x)) = K(x,y / z). K(x,(x \ y) / (x \ z)) = K(x,y / z). x != K(y,(y \ z) / u) | x = K(y,z / (u * y)). K(x,y / z) = K(x,y / ((x \ z) * x)). K(x,y / ((x \ z) * x)) = K(x,y / z). K(x,y / (x \ z)) = K(x,(x * y) / z). K(x,(x * y) / z) = K(x,y / (x \ z)). K(x,y / (z * x)) = K(x,y / (x * z)). x != K(y,z / (y \ u)) | x = K(y,(z * y) / u). K(x,(x * y) / z) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,(x * y) / z). K(x,(y * z) / (z * x)) = K(x,R(y / x,x,z)). K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). T(x,(y * x) / z) = x * K(x,(x * y) / z). x * K(x,(x * y) / z) = T(x,(y * x) / z). x != K(y,z * K(u,y)) | x = K(y,z). K(x,R(y,K(z,x),u)) = K(x,y). K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. R(K(x,y),z,u) * w = R(K(y,x),z,u) \ w. R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. x != T(y,T(z / (u * y),u)) | x = T(y,(u * y) \ z). T(x,y \ (z / x)) = T(x,(y * x) \ z). T(x,(y * x) \ z) = T(x,y \ (z / x)). x != T(y,z \ (u / y)) | x = T(y,z \ (y \ u)). T(x,(y * x) \ z) = T(x,y \ (x \ z)). T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). K(x,(x * y) / z) = K(x,(z / y) \ x). x != K(y,z) | x = R(K(y,z),y,u). K(x,(x * y) / z) = R(K(x,(z / y) \ x),x,u). R(K(x,(y / z) \ x),x,u) = K(x,(x * z) / y). x != K(y,(z / u) \ y) | x = K(y,y * (u / z)). K(x,(x * y) / z) = K(x,x * (y / z)). x != K(y,(y * z) / u) | x = K(y,(z * y) / u). K(x,(y / z) \ x) = K(x,(z * x) / y). K(x,(y * x) / z) = K(x,(z / y) \ x). x != K(y,(y * z) / u) | x = K(y,z / (y \ u)). K(x,(y / z) \ x) = K(x,z / (x \ y)). K(x,y / (x \ z)) = K(x,(z / y) \ x). K(x,x * (y / z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,x * (y / z)). x * K(x,x * (y / z)) = T(x,(y * x) / z). x != K(y,(z * y) / u) | x = K(y,T(u \ (z * y),z)). K(x,(y / z) \ x) = K(x,T(y \ (z * x),z)). K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). x != K(y,z / u) | x = T(K(y,u \ z),u). K(x,(y / z) \ x) = T(K(x,y \ (z * x)),y). T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. K(x,y / z) = K(x,((x * z) / y) \ x). K(x,((x * y) / z) \ x) = K(x,z / y). (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). T(x,(y * x) / z) != u | T(x,x * (y / z)) = u. x != K(y,R(z / y,u,w)) | x = K(y,R(y \ z,u,w)). K(x,(y * z) / (z * x)) = K(x,R(x \ y,x,z)). K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). K(x,(x * y) / z) != u | u = K(x,(z / y) \ x). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). x != T(y,T(z / (u / y),w)) | x = T(y,T(z / (y \ u),w)). T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). T(x,y / (x \ z)) = T(x,(z / y) \ x). x != T(y,z / (y \ u)) | x = T(y,(z * y) / u). T(x,(y / z) \ x) = T(x,(z * x) / y). T(x,(y * x) / z) = T(x,(z / y) \ x). T(x,x * (y / z)) = T(x,(z / y) \ x). T(x,(y / z) \ x) = T(x,x * (z / y)). T(x,(y / (z * y)) \ x) = T(x,x * z). R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),u,w) = K(x,R(T(y,z),y \ u,w)). K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). x != T(T(y,z / u),u / z) | x = L(y,u / z,u / z). R(x,y / z,z * (y \ 1)) = L(x,z / y,z / y). x * y != K(z,u) * w | x \ (K(u,z) \ w) = y. (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). x != K((K(y,z) * u) \ w,z) | x = K(u \ w,z). K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ (K(y,z) * u),z) = K(x \ u,z). K(x \ (y \ z),y) = K(x \ (T(y,u) \ z),y). K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). K(a(x,y,T(z,y)),y) = K((x * (z * y)) \ ((x * y) * z),y). K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). K(x,y \ z) = K(x,y \ (K(x,u) * z)). K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,y \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,y \ (x \ z)) = K(x,y \ (T(x,u) \ z)). K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). K(x,y \ z) = K(x,y \ (z * K(u,x))). K(x,y \ (z * K(u,x))) = K(x,y \ z). x != K(y,z \ (y * u)) | x = K(y,(z / y) \ u). K(x,y \ (z * x)) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,y \ (z * x)). x != K(y,z \ (y * u)) | x = K(y,(y \ z) \ u). K(x,y \ (z * x)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (z * x)). x != K(y,z \ (u * y)) | x = K(y,y * (z \ u)). K(x,y \ (x * z)) = K(x,x * (y \ z)). K(x,y \ ((x \ z) * x)) = K(x,y \ z). K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). K(x,y \ (z * (x \ u))) = K(x,y \ (z * (u / x))). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). K(x,y \ (z \ K(u,x))) = K(x,y \ (z \ 1)). K(x,y \ z) = K(x,(x * y) \ (z * x)). K(x,(x * y) \ (z * x)) = K(x,y \ z). K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). K(x,K(y,z \ u)) = K(x,K(y,z \ (y \ u))). K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). x != K(y,z \ ((y \ 1) * u)) | x = K(y,((y \ 1) \ z) \ u). K(x,y \ z) = K(x,((x \ 1) \ y) \ (z * x)). K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). K(x,y \ (z * x)) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). x != K(y,z \ ((y \ u) * y)) | x = K(y,z \ u). K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). K(x \ (y * z),T(y,u)) = K(x \ (z * y),T(y,u)). K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * (z / x))) \ (y * (x \ z))). K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). x != K(y \ (z * u),T(z,u)) | x = K((y / u) \ z,z). K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * (y * K(z,u))),T(z,w)). K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). x != K((y * z) \ (y * u),T(u,w)) | x = K(z \ u,T(u,w)). K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). x != K(((y * z) / y) \ u,u) | x = K(u * (z \ K(z,y)),u). K(x \ y,T(y,z)) = K(y * (x \ K(x,z)),y). K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). K(x,T(y \ (x * z),u)) = K(x,T(y \ (z * x),u)). K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). x != K(y,T(z \ (u * y),u)) | x = K(y,(z / u) \ y). K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). x != K(y,(z / u) \ y) | x = K(y,u / (y \ z)). K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). x * K(y,T((z / u) \ y,x)) = K(y,T(z \ (y * u),u)) * x. K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. x != R(y,K(z,u),T(u,w)) | x = y. x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). x / T(1 / y,z) = (x / T(y \ 1,z)) * K(y \ 1,y). (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). x / R(y,z,y) = (x / T(y,z)) * K(y,y * z). (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). x / L(y,z,y) = (x / T(y,y * z)) * K(y,z). (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). (x / R(y,z,y)) * y = (x / T(y,z)) * T(y,y * z). (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). a(x,y,z) = a(T(x,y),T(y,x),z). a(T(x,y),T(y,x),z) = a(x,y,z). a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. x != a(y,T(z,y),R(T(y,z),u,w)) | x = a(R(y,u,w),z,y). a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). (x * y) / T(T(x,y),z) = K(z,x) * y. (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). x * y != T(z,u) * K(u * L(z,w,v5),z) | x \ R(z,u,L(z,w,v5)) = y. x \ R(x,y,L(x,z,u)) = K(y * L(x,z,u),x) * K(x,y). K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). L(K(x * L(y,z,u),y),T(y,x),w) = (w * T(y,x)) \ (w * R(y,x,L(y,z,u))). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). x != T(T(y * K(z * T(y,u),y),w),z) | x = R(T(y,w),z,T(y,u)). R(T(x,y),z,x) = R(T(x,y),z,T(x,u)). R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). K(x,R(T(y,z),u,y)) = K(x,T(y,z)). K(x,T(R(y,z,y),u)) = K(x,T(y,u)). K(x,T(T(y,z),u)) = K(x,T(T(y,y * z),u)). K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). K(x,T(T(y,z) \ 1,u)) = K(x,T(T(y \ 1,z),u)). K(x,T((y \ z) \ 1,u)) = K(x,T(T((z / y) \ 1,y),u)). K(x,T(T((y / z) \ 1,z),u)) = K(x,T((z \ y) \ 1,u)). R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). x != L(K(y,z),u,T(z,w)) | x = K(y,z). K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). x * K((y * z) \ x,u) = y * ((y \ x) * K(z \ (y \ x),u)). x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). x != K(y \ (T(z,u) \ w),z) | x = K(y \ (z \ w),z). K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). K((x \ y) \ z,y) = K((x \ 1) \ (y \ z),y). K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). K(x \ (y * z),z) != u | u = K(z * (x \ y),z). K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. K(x,(y * K(z,u)) \ w) = L(K(x,K(u,z) * (y \ w)),y \ w,y). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). K(x,y \ (z \ 1)) = K(x,(z * y) \ 1). K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). x != L(K(y,z),u,T(y,w)) | x = K(y,z). K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). K(x,(y * z) \ 1) != u | K(x,z \ (y \ 1)) = u. L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). L(K(x,x \ (y \ z)),y \ z,y) != u | K(x,y \ (x \ z)) = u. L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). x != K(y,z \ (T(y,u) \ w)) | x = K(y,z \ (y \ w)). K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. K(x,T(y,L(y,z,u) * (y \ w))) = L(K(x,T(y,w)),w,L(y,z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). K(x,y \ (z * x)) != u | u = K(x,x * (y \ z)). K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. K(x,y \ (x * z)) != u | K(x,x * (y \ z)) = u. x != K(y,L(T(z,y),u,w)) | x = K(y,L(z,u,w)). K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). (x * (y * y)) * K(y,z) = x * (y * T(y,z)). (x * ((y / z) * (y / z))) * K(y / z,z) = x * ((y / z) * (z \ y)). (x * (y * T(y,z))) \ 1 = K(y,z) \ ((x * (y * y)) \ 1). K(x,y) \ ((z * (x * x)) \ 1) = (z * (x * T(x,y))) \ 1. (x * ((y * (1 / z)) * (y * (1 / z)))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). ((x * (y * T(y,z))) \ (K(y,z) \ 1)) \ 1 = (K(y,z) / (1 / (x * (y * y)))) * K(y,z). R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). x != (y / T(z,u)) * T(z,w) | x = (y * K(u,z)) * K(z,w). (x / R(y,z,y)) * y = (x * K(z,y)) * K(y,y * z). (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. x != ((K(y,z) * u) \ w) * w | x = (u \ K(z,y)) * (w * w). (x \ y) \ T(x,z) = (y \ K(z,x)) * (T(x,z) * T(x,z)). (x \ K(y,z)) * (T(z,y) * T(z,y)) = (z \ x) \ T(z,y). x != T(y,y * z) * L(T(z,y),u,w) | x = L(z,u,w) * T(y,y * z). K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). x != T(y,y * z) * R(T(z,y),u,w) | x = R(z,u,w) * T(y,y * z). K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). L(x,K(y,z),L(y,u,w)) = x. (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). x != L(K(y,z) * (u \ w),K(z,y),u) | x = (u * K(z,y)) \ w. K(x,y) * (L(y,z,u) \ w) = (L(y,z,u) * K(y,x)) \ w. (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). (1 / x) * y != K(z \ 1,z) / x | y = K(z \ 1,z). K(x \ (1 / y),x * y) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). (x * (y \ z)) * K(y,z) = x * (z * (y \ 1)). x != y * K(z,z \ y) | x = z * (y / z). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). x != (((y \ z) \ 1) \ y) * ((y \ z) \ 1) | x = T(z,z \ y) / (y \ z). x * (y / x) = T(x,x \ y) / (y \ x). T(x,x \ y) / (y \ x) = x * (y / x). (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). x != (y / z) * (y / (y / z)) | x = (z \ y) * z. (x \ y) / (y \ (y / x)) = (x \ y) * x. ((x \ y) * x) \ (x \ y) = y \ (y / x). L(x \ 1,x,x \ y) = y \ (y / x). L(x \ 1,x,y) = (x * y) \ ((x * y) / x). (x * y) \ ((x * y) / x) = L(x \ 1,x,y). x != (y * z) \ ((y * z) / y) | x = L(y \ 1,T(y,z),z). L(x \ 1,x,y) = L(x \ 1,T(x,y),y). L(x \ 1,T(x,y),y) = L(x \ 1,x,y). T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). L(T(x,y) \ 1,x,y) = (x * y) \ y. x != L(T(y,z) \ 1,y,z) | x = (z * y) \ T(z,y). (x * y) \ y = (y * x) \ T(y,x). (x * y) \ T(x,y) = (y * x) \ x. (x * y) * ((y * x) \ x) = T(x,y). T(x,y) = (x * y) * ((y * x) \ x). (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). R(x,K(y,z),R(z,u,w)) = x. x != R((y / z) * K(u,w),K(w,u),z) | x = y / (K(w,u) * z). (x / R(y,z,u)) * K(y,w) = x / (K(w,y) * R(y,z,u)). x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). R(x,K(y,z),L(z,u,w)) = x. R(x,K(y,z),L(T(z,u),w,v5)) = x. x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). x != y * (z * (u * (y \ 1))) | x = ((y * z) * u) / y. x * T(T(x,y \ 1),y \ 1) = ((y * x) * x) / y. K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). (x / y) * L(z,y / x,y / x) = (1 / (x / y)) \ z. x * ((x \ y) * (L(z,x,x) * T((x \ y) * L(z,x,x),x))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). K(x \ y,x) * (y * (x \ (y / x))) = (y / x) * (x \ y). (x / y) * (y \ x) != z | (y \ x) * (x / y) = z. x * (T(T(x,y),y) \ z) = K(y,x) * (K(y,x) * z). K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). K(x,y \ x) * (K(x,y \ x) * z) = (y \ x) * (T(y \ T(x,y),x) \ z). T(x * (T(T(x,y),y) \ z),K(y,x)) != u | (1 / (K(y,x) * z)) \ K(y,x) = u. K(x \ y,x \ 1) * ((1 / x) \ z) = (1 / T(x,y)) \ z. (x \ y) * (K(x,y) * z) = (y * (x \ 1)) * z. (x \ y) * (y / x) = (y * (x \ 1)) * ((1 / x) * y). (x * (y \ 1)) * ((1 / y) * x) = (y \ x) * (x / y). ((1 / (x / ((1 / y) * z))) * (((1 / y) * z) \ 1)) \ K(u,w) = ((1 / (((1 / y) * z) * x)) \ (z \ y)) * K(u,w). x != K(y,R(T(y,z),u,w) \ v5) | x = K(y,R(y,u,w) \ v5). K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). T(x \ 1,K(y,z)) \ (1 / x) = K(x * K(z,y),x \ 1). K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. (((1 / x) * y) * (1 / z)) \ ((1 / x) * y) = T(T(z,y \ x),x \ y). T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). x != R(K(y,z),y * u,w) | x = K(R(y,u,w),z). K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). K(R(x,y,z),T(u,x \ w)) * v5 != K(R(x,y,z),T(u,w)) | 1 = v5. 1 = K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)). K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. R(K(x,y),z,R(x,u,w)) = K(x,y). (x * y) * R(x,z,u) = K(x,y) * ((y * x) * R(x,z,u)). K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). K(x,y) = K(R(x,z,R(x,u,w)),y). K(R(x,y,R(x,z,u)),w) = K(x,w). T(R(x,y,R(x,z,u)),w) = K(x,w) * R(x,y,R(x,z,u)). K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). (K(x,y) / z) \ 1 = z * K(y,R(x,u,R(x,w,v5))). x * K(y,R(z,u,R(z,w,v5))) = (K(z,y) / x) \ 1. x * y != (K(z,u) / x) \ 1 | y = K(u,z). K(x,R(y,z,R(y,u,w))) = K(x,y). K(x,R(y,z,R(T(y,u),w,v5))) = K(T(x,u),T(y,u)). K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). K(x,y) = K(x,R(y,z,R(T(y,u),w,v5))). K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). R(K(x,y),z,L(x,u,w)) = K(x,y). K(x,y) = K(R(x,z,L(x,u,w)),y). K(R(x,y,L(x,z,u)),w) = K(x,w). x != K(R(T(y,z),u,w),T(v5,z)) | x = K(R(y,u,w),v5). K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). K(x,y) = K(R(x,z,L(T(x,u),w,v5)),y). K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). x != K(y * (z / R(u,w,u)),u) | x = K(y * (z / T(u,w)),u). K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). x != K(y * (z / T(y,u)),y) | x = K(z,y). K(x * (R(x,y,x) \ z),x) = K(z,x). K(x * y,x) = K(R(x,z,x) * y,x). K(R(x,y,x) * z,x) = K(x * z,x). x != K(R(y,z,u) * w,y) | x = K(w * R(y,z,u),y). K(x * y,x) = K(y * R(x,z,x),x). K(x * R(y,z,y),y) = K(y * x,y). T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). T(x,y * R(x,z,x)) = T(x,x * y). x != T(y,z) | x = y * K(y,z). T(x,y * R(x,z,x)) = x * K(x,x * y). K(x,y * R(x,z,x)) = K(x,x * y). x != y * (z \ T(z * (y \ u),y)) | x = ((y \ (u / (z \ 1))) * y) * (z \ 1). ((x \ (y * z)) * x) / z = ((x \ (y / (z \ 1))) * x) * (z \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. x != y * (z * T(z \ (y \ u),w)) | x = (y * z) * T((y * z) \ u,w). ((x \ (y / z)) * x) * z = (z * x) * T((z * x) \ y,x). (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. K(x,y) = K(K(z,z \ 1) * x,y). K(K(x,x \ 1) * y,z) = K(y,z). K(((x \ 1) \ 1) * y,z) = K(x * y,z). K(x \ y,z) = K(((x \ 1) \ 1) \ y,z). K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). K((x \ 1) \ y,z) = K((1 / x) \ y,z). K((1 / x) \ y,z) = K((x \ 1) \ y,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K(((x * K(y,z)) \ 1) * u,w) = K((K(z,y) / x) * u,w). K((x \ 1) * y,z) = K(x \ y,z). K(x * y,z) = K((1 / x) \ y,z). K((1 / x) \ y,z) = K(x * y,z). K(x \ (1 / y),z) = K(y * x,z \ 1). K(x / y,z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x / y,z). K(T(x * y,x),z) = K(y * x,z). x != K(y / (z * y),u) | x = K(z,u \ 1). K(x * (1 / (y * x)),z) = K(y,z \ 1). K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). K(x * y,z) = K(y * x,T(z,x)). K(x * y,T(z,y)) = K(y * x,z). K(x * y,T(z,x)) = K(y * x,z). x * K(y * x,z) = K(x * y,z) * x. K(x * y,z) * x = x * K(y * x,z). K(x * y,T(z,y)) != u | K(y * x,z) = u. K(x,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). K(x * y,T(z,x)) != u | K(y * x,z) = u. K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). x * (y * K(y * x,z)) != u | T(x * y,T(z,x)) = u. T(x,y) * K(y * x,z) = K(x * y,z) * T(x,y). K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). K(x * T(y / x,z),u) = K(y * K((y \ x) \ 1,z),T(u,x)). K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). K((1 / x) \ y,z) != u | K(x * y,z) = u. K((x \ 1) * y,z) != u | K(x \ y,z) = u. K(x \ (1 / y),z) != u | K(y * x,z \ 1) = u. K(x \ ((1 / y) * z),u) = K((z \ y) * x,u \ 1). x * y != y * K(z * u,u \ (z \ 1)) | x = K(z * u,u \ (z \ 1)). K(x * y,x \ (y \ 1)) = K(y * x,x \ (y \ 1)). K(x * y,y \ (x \ 1)) = K(y * x,y \ (x \ 1)). K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. K((x / y) \ y,z) != u | K(y * (x \ y),z) = u. K(x \ (1 * ((y * (1 \ z)) / y)),T(u,x)) = K(((y * ((x \ 1) \ (x \ z))) / y) * (x \ 1),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). K((x \ 1) * (1 / y),z) != u | K(y * x,z \ 1) = u. T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). T(x,y) * K(z,y * x) = K(z,x * y) * T(x,y). K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). T(x,y) * z != K(u,x * y) * T(x,y) | z = K(u,T(x * y,x)). K(x,y * z) = K(x,T(z * y,z)). K(x,T(y * z,y)) = K(x,z * y). x != K(y,z * u) | x = K(y,(z \ 1) \ u). K(x,T(y * z,y)) = K(x,(z \ 1) \ y). x != K(y,T(z * u,z)) | x = K(y,T(z * u,u)). K(x,y * z) = K(x,T(z * y,y)). K(x,T(y * z,z)) = K(x,z * y). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). K(x,y \ z) = K(x,(y \ 1) * z). K(x,(y \ 1) * z) = K(x,y \ z). K(x,(1 / y) \ z) = K(x,y * z). K(x,y / (z \ 1)) = K(x,y * z). T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). K(x,y * z) * T(x,y) = T(T(x,y),z * y). K(x,T(y * z,u)) = K(x,T(T(z * y,u),z)). K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). K(x,(y \ 1) / z) = K(x,y \ (z \ 1)). x != K(y,z \ u) | x = K(y,(1 / z) * u). K(x,(y \ 1) * z) = K(x,(1 / y) * z). K(x,(1 / y) * z) = K(x,(y \ 1) * z). K(x,(y \ z) * u) = K(x,((1 / z) * y) \ u). K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). K(x,y * (z \ y)) = K(x,(z / y) \ y). K(x,(y / z) \ z) = K(x,z * (y \ z)). K(x,(1 / (1 / y)) * z) = K(x,y * z). K(x,y * ((z \ 1) \ 1)) = K(x,y * z). K(x,K(y,z * u)) = K(x,K(z / (u \ 1),y)). K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). K(x,K(y,z * u)) = K(x,K(y,(u \ 1) / z)). K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). K(x,T(y * z,y)) != u | K(x,z * y) = u. K(x,y \ (z / y)) = K(x,(z \ y) \ (y \ 1)). K(x,(y \ z) \ (z \ 1)) = K(x,z \ (y / z)). K(x,R(y \ 1,z,u) \ w) = K(x,R(1 / y,z,u) \ w). K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). K(x,y \ z) = K(x,y \ ((z \ 1) \ 1)). K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). K(x,y) = K(x,(z \ 1) * ((1 / z) \ y)). K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). K(x,L(y,z,z \ 1)) = K(x,(z \ 1) * (z * y)). K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x \ (1 / (x / y)),x * (y \ x)) * z. x != K(1 / y,(1 / (1 / y)) * z) | x = K(1 / y,z * y). K(1 / x,x * y) = K(1 / x,y * x). K(1 / x,y * x) = K(1 / x,x * y). K(x,y * T(z,z \ 1)) = K(x,y * z). T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). K(x,y \ z) = K(x,y \ (1 / (1 / z))). K(x,y \ (1 / (1 / z))) = K(x,y \ z). K(x \ y,y \ x) = K(x * y,x \ (y \ 1)). K(x * y,x \ (y \ 1)) = K(x \ y,y \ x). K(x * y,x \ (y \ 1)) != z | K(x \ y,y \ x) = z. K(x,(1 / (y * z)) \ (z \ 1)) = K(x,y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,K(y,y \ 1) * z) = K(x,z). K(x,y) = K(x,y * K(z,z \ 1)). K(x,y * K(z,z \ 1)) = K(x,y). K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). x * K(1 / y,z * y) = x * K(1 / y,y * z). x != K(y \ (z \ 1),u) | x = K(y \ (1 / z),u). K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). K(x,T(y * z,z)) != u | K(x,z * y) = u. K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. K(x,y) * T(x,y * z) = T(T(x,y),z * y). K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). x != K(y * z,y \ (z \ 1)) | x = K(z * y,y \ (z \ 1)). K(x \ y,y \ x) = K(y * x,x \ (y \ 1)). K(x * y,y \ (x \ 1)) = K(y \ x,x \ y). K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). K(x,y) * z != T(T(x,y),u) | z = T(x,T(u,y)). T(x,y * z) = T(x,T(z * y,y)). T(x,T(y * z,z)) = T(x,z * y). x != T(y,T(z * u,u)) | x = T(y,(1 / u) \ z). T(x,y * z) = T(x,(1 / y) \ z). T(x,(1 / y) \ z) = T(x,y * z). x != T(y,z * u) | x = T(y,(z \ 1) \ u). T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). T(x,y \ z) = T(x,(y \ 1) * z). T(x,(y \ 1) * z) = T(x,y \ z). T(x,T(y * z,y)) = T(x,z * y). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). x != T(y,T(z * u,z)) | x = T(T(y,K(u,z)),z * u). T(x,y * z) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * z). T(x,(1 / y) \ z) != u | T(x,y * z) = u. T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). T(T(x,y * z),K(y,z)) = T(x,z * y). T(T(x,y * z),K(y,z)) != u | u = T(x,z * y). T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. T(x,T(y * z,y)) != u | T(x,z * y) = u. T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. K(x,K(y,(z \ 1) / (u / z))) != w | K(y,K(x,u)) = w. x != K(y * z,z \ (y \ 1)) | x = (z \ (y \ 1)) * (y * z). K(x \ y,y \ x) = (x \ (y \ 1)) * (y * x). (x \ (y \ 1)) * (y * x) = K(x \ y,y \ x). K(x \ y,y \ x) / z = (y * x) * (1 / (z * (y * x))). (x * y) * (1 / (z * (x * y))) = K(y \ x,x \ y) / z. x \ K(y \ z,z \ y) = (x \ (z * y)) * (1 / (z * y)). (x \ (y * z)) * (1 / (y * z)) = x \ K(z \ y,y \ z). T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. x * K(y / z,u * (z / y)) = x * K(1 / (z / y),(z / y) * u). x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). K(x,T(K(y \ z,y),u)) = K(x,T((z \ 1) * ((y \ z) * y),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). x * y != T(z,u) * K(u * R(z,w,v5),z) | x \ R(z,u,R(z,w,v5)) = y. x \ R(x,y,R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). R(x,y,R(x,z,u)) * w = T(x,y) * (K(y * R(x,z,u),x) * w). T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. K(x * y,y \ (x \ 1)) != z | K(y \ x,x \ y) = z. K(x,R(x,y,x) * z) = K(x,x * z). K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). x != T(y,(z / (u * z)) \ y) | x = T(y,y * u). T(x,R(y \ 1,y,z) \ x) = T(x,x * y). T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). K(x,R(y \ 1,y,z) \ x) = K(x,x * y). x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z * y)) = u. L(K(x,y),z,L(y,u,w)) = K(x,y). K(x,y) = K(x,L(y,z,L(y,u,w))). K(x,L(y,z,L(y,u,w))) = K(x,y). K(x,y) = K(L(x,z,L(y,u,w)),y). K(L(x,y,L(z,u,w)),z) = K(x,z). K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). L(K(x,y),z,L(x,u,w)) = K(x,y). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. K(x,y) = K(L(x,z,L(x,u,w)),y). K(L(x,y,L(x,z,u)),w) = K(x,w). K(R(K(x,y),z,u),w) = R(K(x,K(y,w)),z,u). R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). K(x,R(K(y,z),u,w)) = K(R(K(y,x),u,w),z). K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). x != K(R(K(y,z),u,w),v5) | x = R(K(y,K(z,v5)),u,w). K(x,R(K(y,z),u,w)) = R(K(y,K(x,z)),u,w). R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). R(K(x,K(y,z)),y,u) = K(x,K(y,z)). x != K(L(T(y,z),u,w),T(v5,z)) | x = K(L(y,u,w),v5). L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). L(K(x,y),x * z,u) = K(L(x,z,u),y). L(K(x,y),z,u) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = L(K(x,u),y,z). K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). x != L(y,1,z) | x = y. K(L(x,x \ 1,y),z) = K(x,z). K(L(x,T(x,y) \ 1,z),u) = K(T(x,y),T(u,y)). K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. K(L(x,x \ K(y,x),z),u) != w | K(x,u) = w. K(x,y) = L(K(x,y),K(z,x),u). L(K(x,y),K(z,x),u) = K(x,y). R(K(x,y),z,u) = L(R(K(x,y),z,u),K(w,x),v5). L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). R(x,K(y,z),K(z,u)) = x. x != (y * K(z,u)) * K(u,u * z) | x = (y / R(u,z,u)) * u. x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). R(x,T(K(y,z),u),K(z,w)) = x. (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). R(x,L(K(y,z),u,w),K(z,v5)) = x. R(x,T(K(y,z),u),T(K(z,w),v5)) = x. (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),K(u,y) * x). T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). L(K(x,y),K(z,y),u) = K(x,y). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). L(K(x,y),K(y,z),u) = K(x,y). (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). (x / T(y,z)) * K(y,u) = (x / y) * (K(y,u) * K(z,y)). (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). x * K(y,z) != u * K(w,z) | x = u * (K(w,z) * K(z,y)). x = (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)). (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. (x * K(y,z)) * K(z,u) != w | w = x * (K(z,u) * K(y,z)). (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. R(x,K(y,z),K(u,y)) = x. x != y * (K(z,u) * K(w,z)) | x = (y * K(w,z)) * K(z,u). (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). x * K(y,z) = (x * K(u,z)) * (K(z,u) * K(y,z)). (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). (x * K(y,z)) \ ((K(z,u) * K(y,z)) * (x / K(z,u))) = K(K(z,u) * K(y,z),R(x / K(z,u),K(z,u),K(y,z))). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). x != (x * (K(y,z) * K(u,y))) * w | K(z,y) * K(y,u) = w. (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. x / (K(y,z) * K(z,u)) != w | w = x * (K(z,y) * K(u,z)). x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. (x * K(y,z)) * K(u,T(y,w)) = (x * K(T(u,w),y)) * K(y,z). (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). x * (y \ L(y,z,y)) = (x / R(y,z,y)) * y. (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). x * (R(x,y,x) \ z) = z * (x \ L(x,y,x)). 1 * x != (1 / R(y,z,u)) * y | x = y / R(y,z,u). x \ L(x,y,x) = x / R(x,y,x). x / R(x,y,x) = x \ L(x,y,x). (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). x \ L(T(x,y),z,x) = R(x,z,x) \ T(x,y). R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). x != R(y,z,y) \ T(y,u) | x = R((u * y) / u,z,y) \ y. x \ L(T(x,y),z,x) = R((y * x) / y,z,x) \ x. R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. x != K(T(y,z),L(T(u,z),w,v5)) | x = K(y,L(u,w,v5)). L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). x != L(K(y,z),u * T(z,w),v5) | x = K(y,L(z,u * K(z,w),v5)). K(x,L(y,z,u)) = K(x,L(y,z * K(y,w),u)). K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). L(K(x,y),y * z,u) = K(x,L(y,z,u)). L(K(x,y),z,u) = K(x,L(y,y \ z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). x != K(y,L(z,u / z,w)) | x = L(K(y,z),u,w). L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). x != K(y \ (K(z,u) * w),T(z,v5)) | x = K(y \ w,T(z,v5)). K((K(x,y) * z) / u,x) = K(u \ z,T(x,z)). K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). K(x / y,z) = K((K(z,u) * x) / y,z). K((K(x,y) * z) / u,x) = K(z / u,x). (x * K(y / z,u)) \ x = K(u,(K(u,w) * y) / z). K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. K(x,(K(x,y) * z) / u) = K(x,z / u). K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). x != K(T(y,z),(u * K(w,y)) \ v5) | x = K(T(y,z),u \ v5). K(x,y / (z * K(u,x))) = K(T(x,z),z \ y). K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). K(x,y / z) = K(x,y / (z * K(u,x))). K(x,y / (z * K(u,x))) = K(x,y / z). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). x != K(y,K(z,u)) \ K(z,y) | x = T(K(z,y),u). T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x * u)). T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). x != K(R(y,z,u),T(w,y \ v5)) | x = K(R(y,z,u),T(w,v5)). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,x)). K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). x != T(y,T((z \ u) \ 1,z)) | x = T(y,(u / z) \ 1). T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). x != T(y,(z / u) \ 1) | x = T(y,u / z). T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z). T(T(x,K(y,z)),z \ y) = T(x,y / z). T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). ((x * y) * z) \ ((y * x) * z) = K(y,z \ (y \ ((y * x) * z))). K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). x != y / T(y,z) | x = K(z,y). K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != K(y,(y * z) / u) | x = K(y,y * (z / u)). K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). x != K(T(y,z),R(T(u,z),w,v5)) | x = K(y,R(u,w,v5)). R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. R(K(x,y),z,u) = K(x,R(y,T(y,w) \ z,u)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). x != K(y,R(z,T(z,u) \ w,v5)) | x = R(K(y,z),K(u,z) * w,v5). R(K(x,y),z,u) = R(K(x,y),K(w,y) * z,u). R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. x != K(y,T(z,u)) | x = K(T(y,u),z). K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). x != K(y,T(z \ T(y,u),w)) | x = K(y,T(z \ y,w)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). (x / T(1 / y,z)) \ 1 = (x / T(y \ 1,z)) \ K(y,y \ 1). (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. K(x,T(y \ z,u)) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). K(x,T(y \ 1,z)) = K(x,T((u * y) \ u,z)). K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). K(x,T(y / z,u)) = K(x,T((z / y) \ 1,u)). K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). x != K(y,K(z,u)) | x = K(u,K(y,z)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). x != ((1 / y) * z) \ 1 | x = z \ y. K(x,y) \ (((1 / z) * (x * x)) \ 1) = (x * T(x,y)) \ z. (x \ K(y,z)) * (z * T(T(z,y),y)) = (z \ x) \ T(z,y). L(T(x,y),z,x) \ u = K(y,x) * (L(x,z,x) \ u). K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). K(x,y) * ((1 / x) \ z) = (1 / T(x,y)) \ z. K(x,y) * ((1 / T(y,x)) \ z) = (1 / y) \ z. x * y != K(z,u) * ((1 / z) \ w) | x \ ((1 / T(z,u)) \ w) = y. T(x,y) \ ((1 / T(x,y)) \ z) = x \ ((1 / x) \ z). K(x,y) * (x / z) = (1 / T(x,y)) \ (1 / z). (1 / T(x,y)) \ (1 / z) = K(x,y) * (x / z). T(x,y) / z = K(x,y) * (x / z). K(x,y) * (x / z) = T(x,y) / z. K(x,y) * (T(y,x) / z) = y / z. x * y != K(z,u) * (z / w) | x \ (T(z,u) / w) = y. (x \ y) \ (T(y / x,x) / z) = (y / x) \ ((y / x) / z). K(x,y) * z = T(x,y) / (z \ x). T(x,y) / (z \ x) = K(x,y) * z. K((1 / x) * y,x \ 1) * (((1 / x) * y) / z) = (y / x) / z. K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. K(x,y) * z = y / (z \ T(y,x)). x / (y \ T(x,z)) = K(z,x) * y. K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. (K(x,y) * z) \ T(x,y) = z \ x. (K(x,y) * z) \ x = (z \ x) * K(y,x). (x * x) \ (K(y,x) * z) = 1 / ((z \ T(x,y)) * x). L(x \ y,x,K(y,z)) = x \ y. (T(x,y) * z) \ T(x,y) = (x * z) \ x. (x \ y) * T(y,z) = (y \ x) \ T(y,z). (x \ y) \ T(x,z) = (y \ x) * T(x,z). a(K(x,y),z,z \ x) = 1. a(K(x * y,z),x,y) = 1. a(K(x,y),z,z \ y) = 1. a(K(x,K(y,z * u)),z,u) = 1. x != 1 | x = K(y,K(z,u)) * K(y,K(z,u)). a(K(x,y),z,z \ y) = K(u,K(w,v5)) * K(u,K(w,v5)). (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). x != (T(y,z) * (T(y / z,y) / u)) \ T(y,z) | x = L(u,T(y,z),T(y,z)) * (z / T(y,z)). (x * (T(x / y,x) / z)) \ x = L(z,T(x,y),T(x,y)) * (y / T(x,y)). x != (y \ z) * T(z,u) | x = (y \ T(z,u)) * z. (x \ y) \ T(x,z) = (y \ T(x,z)) * x. (x \ 1) \ T(x,y) = x * T(x,y). (x \ y) \ T((1 / y) * x,z) = ((1 / y) * x) * T((1 / y) * x,z). ((1 / x) * y) * T((1 / x) * y,z) = (y \ x) \ T((1 / x) * y,z). x / y != z * (T(x,K(u,w)) / y) | K(x,K(w,u)) = z. x * (T(y,K(z,u)) / w) != y / w | K(y,K(u,z)) = x. (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). L(x,T(y,z),T(y,z)) = y \ ((1 / y) \ x). x != y \ ((1 / y) \ z) | x = L(z,y,y). L(x,T(y,z),T(y,z)) = L(x,y,y). x != L(y * (z \ u),T(z,u),T(z,u)) | x = L(y,T(z,u),T(z,u)) * (u / T(z,u)). L(x * (y \ z),y,y) = L(x,T(y,z),T(y,z)) * (z / T(y,z)). L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x * (y \ z),y,y). (x * x) \ (K(y,x) * z) = 1 / ((z \ x) * T(x,y)). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). x != K(y * K(z,u),w \ 1) | x = K(K(u,z) / y,w). T(x \ 1,K(y,z)) \ (1 / x) = K(K(y,z) / x,x). x != K(y / z,z) | x = K(z \ y,z). T(x \ 1,K(y,z)) \ (1 / x) = K(x \ K(y,z),x). x != T(y \ 1,z) \ (1 / y) | x = K(y,y \ z). K(x \ K(y,z),x) = K(x,x \ K(y,z)). ((x / y) * K(z,z \ K(u,w))) \ K(z,z \ K(u,w)) = (K(z,z \ K(u,w)) * y) * (x \ K(z,z \ K(u,w))). K(T(x,y),R(z,u,w)) = K(T(x,z \ y),R(z,u,w)). K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). x != (y * z) * T((y * z) \ u,z) | x = u * K(y \ (z \ u),z). ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). x != ((y \ (z / u)) * y) * u | x = u * ((y \ (u \ z)) * y). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). ((x \ y) * x) * z = (y * z) * K(z \ (x \ (y * z)),x). (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). x != K(K(R(y,z,u),w) * v5,T(y,v6)) | x = K(v5,T(y,v6)). K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). (x \ ((x / y) * z)) * (1 / (u * (((1 / y) * (z / x)) * x))) = K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u. K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((x / y) * z)) * (1 / (u * (((1 / y) * (z / x)) * x))). x != ((y * (z * u)) \ (y * z)) * (1 / (y * z)) | x = L(u,z,y) \ (1 / (y * z)). (x * (y * z)) \ K(y \ x,x \ y) = L(z,y,x) \ (1 / (x * y)). x * (1 / (y * x)) = y \ K(x \ y,y \ x). x \ K(y \ x,x \ y) = y * (1 / (x * y)). x * (y * (1 / (x * y))) != z | z = K(y \ x,x \ y). x * (y * (1 / (x * y))) != z | K(y \ x,x \ y) = z. x != K(y,K(z,u \ 1)) | x = K(y,K(z,u)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). x != R(K(y,K(z,u)),w,v5) | x = K(z,R(K(y,u),w,v5)). K(x,K(y,R(z,u,w))) = K(x,R(K(z,y),u,w)). K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). x != R(K(y,K(z,u)),z,w) | x = K(y,K(z,u)). K(x,K(y,R(z,y,u))) = K(x,K(y,z)). x != R(K(y,K(z,u)),w,v5) | x = K(y,R(K(z,u),w,v5)). K(x,K(y,R(z,u,w))) = K(x,R(K(y,z),u,w)). K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). T(x,K(y,R(z,u,w))) = x * R(K(x,K(y,z)),u,w). x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. x != (y / T(z,z * u)) * K(z,u) | x = y / L(z,u,z). (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). x != K(y,L(z,K(z,u) * w,v5)) | x = K(y,L(z,w,v5)). L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). K(x,R(y \ z,y,u)) = R(K(x,y \ z),z,u). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). K(x,y) \ ((x * x) \ z) = (x * T(x,y)) \ z. K(x,y) * ((y * y) \ z) = (y * T(y,x)) \ z. K(x,y / x) * (((y / x) * (y / x)) \ z) = ((y / x) * (x \ y)) \ z. K(x,y * (1 / x)) * (((y * (1 / x)) * (y * (1 / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. x != (y \ z) \ T(y,u) | x = (z \ T(y,u)) * y. (x \ K(y,z)) * (z * T(T(z,y),y)) = (x \ T(z,y)) * z. (x \ y) \ ((x \ y) / z) = (y / x) \ ((y / x) / z). (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). x != (y / z) \ ((y / z) / u) | x = ((u \ (y / z)) \ 1) \ (z * (y \ 1)). (x \ y) \ ((x \ y) / z) = ((z \ (y / x)) \ 1) \ (x * (y \ 1)). ((x \ (y / z)) \ 1) \ (z * (y \ 1)) = (z \ y) \ ((z \ y) / x). (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((y \ x) \ ((y \ x) / z)) \ 1. (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). x * y != K(z,u) * R(z,w,R(z,v5,v6)) | x \ R(T(z,u),w,R(z,v5,v6)) = y. x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * (x \ R(x,z,R(x,u,w))). K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). (x * R(T(y,x),z,R(y,u,w))) * y = K(y,x) * ((x * R(y,z,R(y,u,w))) * y). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). x != (y \ T(z,u)) * z | x = (y \ z) * (w / (T(z,u) \ w)). (x \ K(y,z)) * (z * T(T(z,y),y)) = (x \ z) * (u / (T(z,y) \ u)). ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((K(y,w) * z) / u,x)). K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). K(x * (y * z),a(x,y,z) \ 1) != u | K((x * y) * z,x * (y * z)) = u. T(x,x * y) * K(y,x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). x != T(y,y * z) * K(z,y) | x = L(y,z,y). L(x,T(y,K(x,z)),x) = L(x,y,x). x != L(y,T(z,K(y,u)),y) | x = L(y,T(z,T(y,u)),y). L(x,y,x) = L(x,T(y,T(x,z)),x). L(x,T(y,T(x,z)),x) = L(x,y,x). L(x,T(x,y) \ z,x) = L(x,z / T(x,y),x). L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. ((1 / x) \ y) * T(y,z) = x * (y * T(y,z)). R(x,T(y,z),z) = R(x,y,z * K(y,z)). R(x,y,z * K(y,z)) = R(x,T(y,z),z). R(x,K(y,z),T(u,K(y,z))) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). x != L(y,z,u) \ L(T(y,w),z,u) | x = K(L(y,z,u),w). K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). x != K(y,((y \ 1) * z) \ (y \ u)) | x = K(y,z \ u). K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. K(x * ((y * z) / y),z) = K(x * L(z,y,z),z). K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). x != K(y * ((z * u) / z),u) | x = K(u * y,u). K(x * L(y,z,y),y) = K(y * x,y). x != K((L(y,z,u) \ w) * L(y,z,u),y) | x = K(w,y). K(x * (L(x,y,x) \ z),x) = K(z,x). T(x * K(y,x),x * (L(x,z,x) \ y)) = x. T(x,y) = T(x,x * (L(x,z,x) \ y)). T(x,x * (L(x,y,x) \ z)) = T(x,z). T(x,x * y) = T(x,L(x,z,x) * y). T(x,L(x,y,x) * z) = T(x,x * z). T(x,L(x,y,x) * z) = x * K(x,x * z). K(x,L(x,y,x) * z) = K(x,x * z). (x * (K(y,z) * u)) / (x * u) = L(K(y,T(T(z,u),x * u)),u,x). L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). K(x,T(y,z)) = K(L(x,z,L(x,u,w)),T(y,L(x,u,w) * z)). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). x != K(y,K(z,L(u,w * y,v5))) | x = K(u,K(z,L(y,w,v5))). K(x,K(y,(z * (u * y)) \ w)) = K(x,K((u * y) \ (z \ w),L(y,u,z))). K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). x != K(y,R(T(K(y,z),u),w,v5)) | x = 1. K(x,a(K(x,y),z,u)) = 1. K(x,a(K(x,y),z,u)) * w != 1 | 1 = w. 1 = K(a(K(x,y),z,u),x). K(a(K(x,y),z,u),x) = 1. T(x,a(K(x,y),z,u)) = x. T(a(K(x,y),z,u),x) = a(K(x,y),z,u). a(K(x,y),z,u) * x = x * a(K(x,y),z,u). a(K(x,y),z,u) * K(x,w) = K(x,w) * a(K(x,y),z,u). K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). x * K(a(K(x,y),z,u),w) = K(a(K(x,y),z,u),w) * x. K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). K(K(a(x,y,T(z,y)),y),u) = K((x * (z * y)) \ ((x * y) * z),K(y,u)). K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). x != K(R(y,z,R(y,u,w)),v5) | x = K(y,v5). K(x,T(y,z)) = K(x,T(y,z * R(x,u,w))). K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). x != K(y,T(z,u / R(y,w,v5))) | x = K(y,T(z,R(y,w,v5) \ u)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) \ z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). x != K(y,T(z,u)) | x = K(y,z) * K(y,K(z,u)). K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,R(x,u,w) \ z)). K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,R(x,u,w) / z)). K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,z * R(x,u,w))). K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,(y * z) * u)). K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,(y \ z) * u)). K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). K(x \ y,T(x,z)) = K(x \ y,T(x,y * z)). K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). x != K(L(y,z,L(y,u,w)),v5) | x = K(y,v5). K(x,T(y,z)) = K(x,T(y,L(x,u,w) * z)). K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,L(x,u,w) \ z)). K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). x != K(y,T(z,L(y,u,w) \ v5)) | x = K(y,T(z,v5 / L(y,u,w))). K(x,T(y,z)) = K(x,T(y,z / L(x,u,w))). K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). K(x,T(y,z * u)) = K(x,T(y,z * (u * x))). K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). x != K(y,T(z,u * (w * y))) | x = K(y,T(z,u * (y * w))). K(x,T(y,z * u)) = K(x,T(y,z * (x * u))). K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,z * (x \ u))). K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). x != K((y * z) / (u * z),T(w,y)) | x = R(K(u \ y,w),y,z). K(R(x,y / x,z),u) = R(K((y / x) \ y,u),y,z). R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). R(K(x,y),z,u) = K(R(x,z / x,u),y). K(R(x,y / x,z),u) = R(K(x,u),y,z). K(R(x,y,z),u) = R(K(x,u),y * x,z). R(K(x,y),z * x,u) = K(R(x,z,u),y). K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. K(x,T(y \ x,z)) = K(x,((z * y) / z) \ x). K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,z \ y)). K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T((z / (y * z)) \ x,y)). K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). L((x / y) \ z,x,x) = (1 / (y / x)) \ L(z,x,x). (1 / (x / y)) \ L(z,y,y) = L((y / x) \ z,y,y). (x / y) / ((y * z) \ y) = L((y / x) \ z,y,y). (x / y) / (z * (1 / y)) = L((y / x) \ (y * (1 / z)),y,y). L((x / y) \ (x * (1 / z)),x,x) = (y / x) / (z * (1 / x)). T(x \ y,x) * (K(x,y) * z) = ((1 / x) * y) * z. K(x \ y,x) * ((x \ y) * (K(x,y) * z)) = ((1 / x) * y) * z. T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. x != K(y \ z,y) * K(u,z / y) | x = y \ (z / T(z / y,u)). K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). K(R(x,y,z),x * (u \ 1)) != w | K(R(x,y,z),u \ x) = w. x != K(y,R(T(y,z),u,w) * v5) | x = K(y,R(y,u,w) * v5). K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). x != K(y,R(y,z,u) * (w \ 1)) | x = K(y,w \ R(y,z,u)). K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). x != K(y,z \ R(T(y,u),w,v5)) | x = K(y,R(T(y,u),w,v5) / z). K(x,y \ R(x,z,u)) = K(x,R(T(x,w),z,u) / y). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). K(x,R(x,y,z) / u) = K(x,R(T(x,w),y,z) / u). K(x,R(T(x,y),z,u) / w) = K(x,R(x,z,u) / w). K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). T(K(x,y) * z,u) \ T(z,u) = K(y,T(x \ z,u) \ T(z,u)). K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). x != ((K(y,z) / u) * w) \ K(y,z) | x = K(z,y) * ((w * K(z,y)) \ u). (x \ (y * K(z,u))) * K(u,z) = K(z,u) * ((x * K(z,u)) \ y). K(T(x,y),y) * ((1 / T(x,y)) * z) = (1 / x) * z. K(x,y) * ((1 / T(x,y)) * z) = (1 / x) * z. x * ((1 / x) * y) = T(x,z) * ((1 / T(x,z)) * y). T(x,y) * ((1 / T(x,y)) * z) = x * ((1 / x) * z). x != T(y / z,y) * ((1 / T(y / z,y)) * u) | x = (y \ z) * (((1 / z) * y) * u). (x / y) * ((1 / (x / y)) * z) = (x \ y) * (((1 / y) * x) * z). ((x \ y) * K(z,u)) \ (x \ 1) = (K(u,z) * (y \ x)) * (x \ 1). x != (y * ((y \ z) * K(u,w))) \ 1 | x = (K(w,u) * (z \ y)) * (y \ 1). (K(x,y) * z) * ((u * z) \ 1) = (K(x,y) * (u \ z)) * (z \ 1). (K(x,y) * (z \ u)) * (u \ 1) = (K(x,y) * u) * ((z * u) \ 1). K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). x * L(y,T(z,x) \ x,z) = T(z,x) * ((T(z,x) \ x) * y). T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). (K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u). T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). (x * y) \ T(y * x,z) = T(y * x,z) / (x * y). T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. x != (y * K(z,T(u,w))) \ y | x = K(u,T(z,w)). K(T(x,y * (z * K(u,w))),w) = K(x,T(w,y * z)). K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. K(x,K(y,(z \ 1) / u)) = K(y,(z \ T(z * u,x)) / u). K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). K(x,(T(y,z) / u) / (y / u)) = K(z,K(x,(u \ 1) / (y / u))). K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). K(K(x,y),z) * (K(x,y) * T(u * K(y,x),w)) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. x != K(y \ z,y) * T(u,y \ z) | x = (z / y) \ (u * (y \ z)). T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). x * y != T(z,u / w) * K(w \ u,w) | x \ ((u / w) \ (z * (w \ u))) = y. x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). T(K(x,y),z \ u) = T(K(x,y),z \ (u / x)). T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),z \ (y \ 1))). K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). x * (y * K(z,(x \ u) \ y)) != (x * y) * w | K(z,u \ (x * y)) = w. (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. x != K(y,K(z \ u,u)) | x = K(y,K(z,u)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). x != K(y,(1 / z) * u) | x = K(y,(z \ 1) * u). K(x,K(y,z)) = K(x,(y \ 1) * ((z \ y) * z)). K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u * x)). T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). x != T(K(y,z \ u),T(z,u)) | x = T(K(y,z \ u),z). T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). K(x,R(y,z,u)) = K(x,R(y,z * K(y,w),u)). K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). K(x,R(y,z,u)) = K(x,R(y,T(z,y),u)). K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). x != K(y,R(z,T(u,z),w)) | x = R(K(y,z),u * z,w). K(x,R(y,z,u)) = R(K(x,y),z * y,u). R(K(x,y),z * y,u) = K(x,R(y,z,u)). R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). x != K(R(y,K(y,z) * (y \ u),w),v5) | x = R(K(y,v5),K(y,z) * u,w). K(R(x,x \ y,z),u) = R(K(x,u),K(x,w) * y,z). R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). x != K(R(y,y \ z,u),w) | x = R(K(y,w),z,u). R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). R(K(x,y),z,u) = R(K(x,y),z * K(w,x),u). R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). x != R(K(y,z),K(u,y) * w,v5) | x = K(R(y,T(y,u) \ w,v5),z). R(K(x,y),z,u) = K(R(x,T(x,w) \ z,u),y). K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). K(R(x,y,z),u) = R(K(x,u),T(x,w) * y,z). R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). K(x,K(y,z \ (u * x))) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). x != K(y,K(z,u \ (w * y))) | x = K(y,K(z,u \ w)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). x != K(y,K(z,(u / y) \ w)) | x = K(y,K(z,(y \ u) \ w)). K(x,K(y,z \ u)) = K(x,K(y,(x \ z) \ u)). K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). x != K(y,K(z,u \ (y \ w))) | x = K((T(y,v5) * u) \ w,K(y,z)). K(x,K(y,z \ u)) = K((T(x,w) * u) \ z,K(x,y)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). x != K(y,T(z,(y \ u) \ w)) | x = K(y,T(z,u \ (y * w))). K(x,T(y,z \ u)) = K(x,T(y,z \ (x * u))). K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x * z) \ u)). K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,a(x,z,u))) = K(x,T(y,(z * u) \ ((x * z) * u))). K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). K(x,y) = K(x,T(y,a(x,z,u))). K(x,T(y,a(x,z,u))) = K(x,y). T(x,T(y,a(x,z,u))) = x * K(x,y). T(x,T(y,a(x,z,u))) = T(x,y). (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). x != (y * K(z,u)) / (z \ y) | x = T(z,T(u,y)). T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). x != T(y,T((z * y) / u,w)) | x = T(y,T(z / (y \ u),w)). T(x,T(x * (y / z),u)) = T(x,T(y / (x \ z),u)). T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). x != K((y * (z \ 1)) \ 1,y * (z \ 1)) | x = (z * K((y / z) \ 1,y / z)) * (z \ 1). K(x \ y,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). ((x \ K(x,y)) * T(x,z)) \ 1 = (K(x,y) * K(x,z)) \ K(x,x \ 1). (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. ((x \ (y * z)) * x) / z = (z \ 1) * ((x \ ((z \ 1) \ y)) * x). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). x != K(y,z \ (y \ ((y * u) * z))) | x = K(y,R(T(u,z),y,z)). ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). x != y * K(T(y,z),R(u,w,v5)) | x = T(y,R((z * u) / z,w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R((y * z) / y,u,w)). T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(T(u,z),w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). x != T(y,R(z / (z / u),w,v5)) | x = T(y,R(T(u,u \ z),w,v5)). T(x,R(T(y,z),u,w)) = T(x,R(T(y,y \ z),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). K(x,y) * (((1 / x) * y) / z) = (y / x) / z. K(x,y) * (1 / (z * (y \ x))) = (y / x) / z. K(x,y) / (z * (y \ x)) = (y / x) / z. R(K(x,K(y,z)),u,w) * x = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). T(x,K(y,R(z,u,w))) = T(x,R(K(z,y),u,w)). T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). x != T(y,R(K(z,u),w,v5)) | x = T(y,K(z,R(u,w,v5))). T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = ((x \ y) \ ((x \ y) / z)) \ 1. x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). x != y * (z * K(u,T(w,z))) | x = y * (K(u,w) * z). K(x * y,y) * (x * z) = x * (K(x * y,y) * z). K(x \ y,x) * ((y * (x \ 1)) * z) = ((1 / x) * y) * z. (K(x \ y,x) * (y * (x \ 1))) / (1 / (y * (x \ 1))) = ((1 / x) * y) * (y * (x \ 1)). K(x \ y,x) * (y * ((x \ 1) * (y * (x \ 1)))) = ((1 / x) * y) * (y * (x \ 1)). T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). ((1 / x) \ ((1 / y) * K(z,u))) * K(u,z) = K(z,u) * ((K(z,u) \ x) / y). x != (y / z) * ((1 / (y / z)) * u) | x = (z * (y \ 1)) * ((y / z) * u). (x \ y) * (((1 / y) * x) * z) = (y * (x \ 1)) * ((x / y) * z). (x * (y \ 1)) * ((y / x) * z) = (y \ x) * (((1 / x) * y) * z). (K(x,y) * (z \ u)) * (u \ 1) = (K(x,y) * u) * (u \ (z \ 1)). K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. K(x,K(y,z)) = K(x,(T(z,y) / u) / (z / u)). K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). K(x,(T(y,z) / u) / (y / u)) * (y / w) = T(y,K(x,z)) / w. K(x,K(y,z)) * u = K(z,w) * (K(x,K(y,z)) * (K(z,w) \ u)). K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. x * (K(y,z) * K(y * z,y)) = K(y * z,y) * (K(y,z) * x). K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). x != K(y,z / u) * K(u \ z,u) | x = u \ (z / T(z / u,y)). x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). x != T(K(y,z),T(u,y * w)) | x = T(K(y,z),T(u,w)). T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,z)). T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). x != T(K(y,z \ (u * y)),z) | x = K(y,(z / u) \ y). K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). x != K(y,(z / R(z,u,w)) \ y) | x = K(y,y * (z \ R(z,u,w))). K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. K(x,T(y,z)) = K(x,T(K(u,x) * y,z)). K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). K(x,T(y * K(x,z),u)) = K(x,T(y,u)). K(x,T(T(y,z),u)) = K(x,T(T(K(w,x) * y,z),u)). K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). K(x,T(T(x * y,z),u)) = K(x,T(T(T(x,w) * y,z),u)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). x != (K(y,z) * (u \ w)) * (w \ 1) | x = ((w \ u) * K(z,y)) \ (w \ 1). (K(x,y) * z) * (z \ (u \ 1)) = ((z \ u) * K(y,x)) \ (z \ 1). ((x \ y) * K(z,u)) \ (x \ 1) = (K(u,z) * x) * (x \ (y \ 1)). K(x,y) * (K(z,x) * u) = ((1 / z) * u) * T(((1 / z) * u) \ (K(x,y) * u),x). ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / w) = x / w. ((T(x,K(y,z)) / u) * u) / x = R(K(y,(T(x,z) / w) / (x / w)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = ((T(y,K(x,z)) / w) * w) / y. K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. K(x,K(y,z)) = K((T(x,y) / u) / (x / u),z). K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). x != K(y * R(z,u,w),z) * K(z,y) | x = z \ R(z,y,R(z,u,w)). (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). x != K(y * L(z,u,w),z) * K(z,y) | x = z \ R(z,y,L(z,u,w)). (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). x != (y * z) \ (z * T(y,y \ z)) | x = a(y,z / y,y). K(x,y) * K(y,y \ x) = a(y,x / y,y). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. x != K(y,z) * K(z,z \ y) | x = z \ R(z,z \ y,z). a(x,y / x,x) = x \ R(x,x \ y,x). x \ R(x,x \ y,x) = a(x,y / x,x). x \ R(x,y,x) = a(x,(x * y) / x,x). a(x,(x * y) / x,x) = x \ R(x,y,x). a(x,y,x) = x \ R(x,T(y,x),x). x \ R(x,T(y,x),x) = a(x,y,x). x \ R(x,y,x) = a(x,y,x). K(x,y) * K(x * y,x) = a(x,y,x). K(x * y,x) * K(x,y) = a(x,y,x). R(x,y,x) / x = a(x,y,x). x != y \ R(y,z,y) | x = T(y,u) \ R(T(y,u),z,y). a(x,y,x) = T(x,z) \ R(T(x,z),y,x). T(x,y) \ R(T(x,y),z,x) = a(x,z,x). x * a(x,y,x) = R(x,y,x). a(x,y,x) * x = R(x,y,x). x \ R(x,y \ 1,x) = a(x,x \ (y \ x),x). a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). K(x,T(y,z)) * a(y,u,y) = T(y,T(x,z)) \ R(y,u,y). T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. a(x,y,x) * K(x,x * y) = K(x,y). K(x,y) * a(y,x,y) = K(y * x,y). K(x,x * y) * a(x,y,x) = K(x,y). (x * y) * a(y,x,y) = T(y * x,y). (x / y) * a(y,z,y) = x / L(y,z,y). a(x,y,x) * (y * x) = T(x * y,x). K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). a(x,y,x) * K(y,x) = K(x * y,x). x != T(y * R(z,u,w),y) / y | x = R(T(y * z,y) / y,u,w). R(x,y,z) * a(u,R(x,y,z),u) = R(T(u * x,u) / u,y,z). R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). T(x * a(y,x,y),y) = y \ T(y * x,y). (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. K(x,y) * K(x * y,x) != z | a(x,y,x) = z. K(x * y,x) * K(x,y) != z | a(x,y,x) = z. a(x,x \ y,x) * K(x,y) = K(x,x \ y). K(x,y) * a(y,x,y) = K(x * y,y). K(x,y) * a(x,x \ y,x) = K(x,x \ y). R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). T(x,y) \ ((x \ y) \ y) = a(x,x \ y,x). a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). a(x,y,x) * T(x,z) = R(T(x,z),y,x). x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). (x / L(y,z,y)) * y = x * a(y,z,y). (x * a(y,z,y)) \ (x * y) = L(y,z,y). x != (y / L(z,u,z)) * z | x = z * (L(z,u,z) \ y). x * a(y,z,y) = y * (L(y,z,y) \ x). x * (L(x,y,x) \ z) = z * a(x,y,x). x * y = (x * L(y,z,y)) * a(y,z,y). (x * L(y,z,y)) * a(y,z,y) = x * y. a(x,y,x) \ x = L(x,y,x). ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). L(x,y,x) \ (x * z) = z * a(x,y,x). x * y != z * a(z,u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = L(x,y,x) \ x. L(x,y,x) \ x = x \ R(x,y,x). x != y * (L(y,z,y) \ u) | x = T(y,w) * (L(T(y,w),z,y) \ u). x * a(y,z,y) = T(y,u) * (L(T(y,u),z,y) \ x). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). L(x,y,x) * (z * a(x,y,x)) = x * z. L(x,y,x) * z = x * (z / a(x,y,x)). x * (y / a(x,z,x)) = L(x,z,x) * y. x * y != L(x,z,u) * w | y = L(x,z,u) * (x \ w). x / a(y,z,y) = L(y,z,y) * (y \ x). L(x,y,x) * (x \ z) = z / a(x,y,x). x * y != L(z,u,z) * (z \ w) | x \ (w / a(z,u,z)) = y. (x / y) \ (x / a(y,z,y)) = L(y,z,y). a(x,x \ (y \ x),x) != z | a(x,y \ 1,x) = z. K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. a(x,y,x) * z != K(x * y,x) * (K(x,y) * u) | T(u,a(x,y,x)) = z. K(x * y,x) * (K(x,y) * z) != a(x,y,x) * u | T(z,a(x,y,x)) = u. T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) != z | a(x,y \ 1,x) = z. K(x * y,x) * (K(x,y) * z) != u | u = z * a(x,y,x). K(x * y,x) * (K(x,y) * z) != u | z * a(x,y,x) = u. K(x,x * y) * (z * x) = K(x,y) * (z * L(x,y,x)). K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). R(x * a(y,x,y),z,u) = R(x,z,u) * a(y,R(x,z,u),y). R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). R(x,y,T(z,y)) = R(x,y * K(z,y),z). R(x,y * K(z,y),z) = R(x,y,T(z,y)). R(x,y / z,z) = R(x,z \ y,T(z,z \ y)). R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. R(x,K(T(y,z),u),z * K(u,y)) * z = (x * K(T(y,z),u)) * (K(u,T(y,z)) * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). K(L(x,y,z),T(u,w)) = K(L(x,y,z),T(u,x \ w)). K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). x != K(L(y,z,u),T(w,y \ v5)) | x = K(L((y \ v5) \ v5,z,u),w). K(L(x,y,z),T(u,w)) = K(L((x \ w) \ w,y,z),u). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). (x * K(L(y,z,u),T(w,v5))) \ (x * w) = T(w,L((y \ v5) \ v5,z,u)). T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. x != (K(y,z) * (u * y)) \ (K(y,z) * u) | x = L(y \ 1,y,u). L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). L(x \ 1,T(x,y),z) = L(x \ 1,x,z). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). K(x,T(y,z) \ T(x,u)) = K(T(x,z),y \ x). K(x,T(y,z) \ T(x,u)) != w | K(x,T(y \ x,z)) = w. K(x,T(y \ x,z)) = K(x,T(y,z) \ x). K(x,T(y,z) \ x) = K(x,T(y \ x,z)). x != K(y,T((z \ 1) \ u,w)) | x = K(y,T(z * u,w)). K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). K((x \ y) * y,T(z,x)) = K((x \ y) * y,z). K(x * (x / y),z) = K((y \ x) * x,z). K((x \ y) * y,z) = K(y * (y / x),z). K((x / y) \ y,z) = K(y * (y / x),T(z,y \ x)). K(x * (x / y),T(z,x \ y)) = K((y / x) \ x,z). K(x * (x / y),x \ (x \ y)) = K((y / x) \ x,x \ (y / x)). K((x / y) \ y,y \ (x / y)) = K(y * (y / x),y \ (y \ x)). x != K((y / z) \ u,u \ (y / z)) | x = K(y \ (u * z),(u * z) \ y). K(x * (x / y),x \ (x \ y)) = K(y \ (x * x),(x * x) \ y). K(x \ (y * y),(y * y) \ x) = K(y * (y / x),y \ (y \ x)). K(x * (x / y),x \ (x \ y)) != z | K(x * (y \ x),x \ (y / x)) = z. K(x,K(y,(z * u) \ ((z * x) * u))) = 1. R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). x * y != R(K(z,u),w,v5) \ R(T(K(z,u),v6),w,v5) | x \ K(v6,R(K(z,u),w,v5)) = y. R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. K(x,K(y,(z * u) / (R(z,w,v5) * u))) = K(x,K(R(z,w,v5) \ z,R(y,z,u))). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). x != L(K(y,z \ (u \ w)),u \ w,u) | x = K(y,(u * z) \ w). K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ z) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). K(x,(y * z) \ u) = K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u). K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). x != K(y,((y \ 1) * z) \ u) | x = K(y,z \ (u * y)). K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). K(x,y \ (x \ z)) = K(x,(y / (x \ 1)) \ z). K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). K(x,(x / y) * z) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,(x / y) * z). K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). K(x,y * (L(y,z,u) \ x)) = K(x,(x / L(y,z,u)) * y). K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. x != K(y,z) | x = K((y \ 1) \ 1,z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). x != (y * (K(z,u) * w)) / (y * w) | x = K((y * w) / (y * (z \ w)),u). L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). x != R(K(y,z),T(y,u) * w,v5) | x = K(R(y,w,v5),z). K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). x != R(K(y,T(T(z,u),u * w)),u,w) | x = K(((u / y) * w) \ (u * w),z). (x * y) \ ((x * K(z,u)) * y) = K(((x / z) * y) \ (x * y),u). K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = R(K(T(T(u,x),x * y),z),x,y). R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). K(x / (y * z),x / z) = K(y \ (z \ x),x / z). K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). K((x * y) / (x * (z \ y)),u) \ w = L(K(T(T(u,y),x * y),z),y,x) * w. L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). x != K(y,T((z / u) \ 1,z)) | x = K(y,z \ u). K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). x != K(y,z \ (y * u)) | x = K(y,z \ (u * y)). K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). K(x,T(y \ x,z)) = K(x,z \ (x * (y \ z))). K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). K(x,T(y \ x,z)) = K(x,z \ ((y \ z) * x)). K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). x != K(y,(y * z) \ (u * y)) | x = K(y,z \ u). K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). K(x \ y,x \ (z \ y)) = K(x \ y,T(z \ (x \ y),y)). K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). K(x,T(y \ x,z)) = K(x,z \ (y \ (x * z))). K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). x != K(y / z,u \ (z \ y)) | x = K(z \ y,(u * z) \ y). K(x \ y,x \ (z \ y)) = K(x \ y,(z * x) \ y). K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). x != T((y \ 1) * z,K(u,T(w,y \ z))) | x = T((y \ 1) * z,K(u,w)). (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). x != ((y \ z) \ 1) * ((y \ z) \ u) | x = ((z \ y) * (z \ y)) * u. ((x \ y) \ z) / (x \ y) = ((y \ x) * (y \ x)) * T(z,y \ x). ((x \ y) * (x \ y)) * T(z,x \ y) = ((y \ x) \ z) / (y \ x). x != (y * y) * T(z,y) | x = (y * z) * y. ((x \ y) \ z) / (x \ y) = ((y \ x) * z) * (y \ x). ((x \ y) \ z) / (x \ y) != u * (y \ x) | (y \ x) * z = u. T((x \ y) \ z,z) / (x \ y) = ((y \ x) * T(z,x \ y)) * (y \ x). ((x \ y) \ K(y \ x,z)) / (x \ y) = T(y \ x,z) * (y \ x). T((x \ y) \ 1,z) / (x \ y) = T(y \ x,z) * (y \ x). (x \ y) \ T(1 / (x \ y),z) = T(y \ x,z) * (y \ x). (x \ y) \ T((1 / y) * x,z) = T(y \ x,z) * (y \ x). x != T(y,z) * y | x = y * T(y,z). (x \ y) \ T((1 / y) * x,z) = (y \ x) * T(y \ x,z). T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). T(x,(y / z) * y) = T(x,y * (z \ y)). (x * y) \ (y * (T(x,y) * z)) = L(L(z,x,y),y * x,K(x,y)). L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. (1 / (x * y)) * ((y \ (x \ 1)) \ z) = K(y \ x,x \ y) * z. K(x,L(y \ L(y,z,u),y,u * z)) != w | K(x,a(u,z,y) \ 1) = w. (K(x,y) \ z) * (u * K(y,x)) = K(x,y) \ ((z * u) * K(y,x)). K(x,y) \ ((z * u) * K(y,x)) = (K(x,y) \ z) * (u * K(y,x)). K(x,y) \ ((z * u) * K(y,x)) = (K(y,x) * z) * (u * K(y,x)). K(x,y) * ((z * u) * K(x,y)) = (K(x,y) * z) * (u * K(x,y)). (K(x,y) * z) * (u * K(x,y)) = K(x,y) * ((z * u) * K(x,y)). x * (y * K(z \ u,u \ z)) = (x * y) * K(z \ u,u \ z). (x * y) * K(z \ u,u \ z) = x * (y * K(z \ u,u \ z)). x * (y * K(z \ 1,z)) = (x * y) * K(z \ 1,z). (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1). (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). R(x,y,K(z \ 1,z)) = x. x != y * (z * K(u \ 1,u)) | x = y * (K(u \ 1,u) * z). (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). T(x,y) = T(x,y * K(z \ 1,z)). T(x,y * K(z \ 1,z)) = T(x,y). x / (y * K(z \ 1,z)) = (x * K(z,z \ 1)) / y. (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). x != R(y,z,K(u \ 1,u)) | x = R(y,K(u \ 1,u),z). x = R(x,K(y \ 1,y),z). R(x,K(y \ 1,y),z) = x. R(x,y,K(z,z \ 1)) = x. x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). x * (K(y \ 1,y) * z) = (x * K(y \ 1,y)) * z. (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). R(x,y,1 / z) = R(x,y,z \ 1). x != R(T(y,z * K(u,u \ 1)),z,K(u,u \ 1)) | x = T(y,z). T(x,y * K(z,z \ 1)) = T(x,y). x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). T(x,K(y \ 1,y) * z) = T(x,z). T(x,y) = T(x,K(z,z \ 1) * y). T(x,K(y,y \ 1) * z) = T(x,z). T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). R(x,y,z) = R(x,y,(z \ 1) \ 1). R(x,y,(z \ 1) \ 1) = R(x,y,z). R(x,y,(z \ 1) \ (1 / u)) = R(x,y,(u * (1 / z)) \ 1). R(x,y,(z * (1 / u)) \ 1) = R(x,y,(u \ 1) \ (1 / z)). x != T(y,R(1 / z,u,w)) | x = T(y,R(z \ 1,u,w)). T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). T(x,T(y,y \ 1) * z) = T(x,y * z). T(x,y * (z * K(u,u \ 1))) = T(x,y * z). T(x,K(y \ z,z \ y) * u) = T(x,u). T(x,(((y \ 1) \ 1) \ z) * u) = T(x,(y \ z) * u). (x \ (y / z)) \ (x \ y) = R(z,y \ 1,x). R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). K((x \ (1 / y)) / z,T(u,x \ (y \ 1))) = K(z \ (x \ (1 / y)),u). T(x,K(y \ z,z \ y) / (u * w)) = T(x,w \ (u \ 1)). T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). L(K(x,x \ 1),y,z) = K(x,x \ 1). (x * y) * K(z,z \ 1) = x * (K(z,z \ 1) * y). K(L(x,y,z),x \ 1) = K(x,x \ 1). K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). x * y != K(L(z,u,w),L(z,u,w) \ 1) | x \ K(z,z \ 1) = y. L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). x * y != L(z,u,w) \ K(z,z \ 1) | x \ (1 / L(z,u,w)) = y. x \ (1 / L(x,y,z)) = L(x,y,z) \ (1 / x). L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). (x \ (1 / L(x,y,z))) * x = L(x,y,z) \ 1. x * y != L(z,u,u) \ 1 | ((u * z) \ u) / y = x. ((x * y) \ x) / y = y \ (1 / L(y,x,x)). x \ (1 / L(x,y,y)) = ((y * x) \ y) / x. x \ (y \ (y / x)) = ((y * x) \ y) / x. ((x * y) \ x) / y = y \ (x \ (x / y)). x != ((y * z) \ y) / z | x = (1 / z) * L(1 / z,y,y). x \ (y \ (y / x)) = (1 / x) * L(1 / x,y,y). (1 / x) * L(1 / x,y,y) = x \ (y \ (y / x)). (1 / x) * (y \ (y / x)) = x \ (y \ (y / x)). (x \ (y \ (y / x))) \ 1 != z | (y \ (y / x)) \ x = z. K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). x / (y * K(z,z \ 1)) = K(z,z \ 1) * (x / y). (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). L(x,K(y \ 1,y),z) = x. L(x,K(y,y \ 1),z) = x. L(x,K(y \ z,z \ y),u) = x. a(x,K(y,y \ 1),z) = 1. K(x \ 1,x) * (y \ z) = (y * K(x,x \ 1)) \ z. (x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z). (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). x \ (y * (1 / (z * y))) = (x \ (1 / z)) * K(y,y \ 1). (x \ (1 / y)) * K(z,z \ 1) = x \ (z * (1 / (y * z))). x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). x \ (K(y,y \ 1) * z) != u | K(y,y \ 1) * (x \ z) = u. K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). K(x,y \ (z \ (1 / u))) = K(x,y \ (z \ (u \ 1))). K(x,y \ z) = K(x,(K(u,u \ 1) * y) \ z). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). T(x,(((y \ 1) \ K(z,u)) \ w) * v5) = T(x,((y * K(z,u)) \ w) * v5). (x \ 1) * (y * K(z,z \ 1)) = ((x \ z) * (1 / z)) * y. K(x,x \ 1) * (y * (1 / z)) = y * (x * (1 / (z * x))). (x * (K(y,y \ 1) * z)) / u = K(y,y \ 1) * ((x * z) / u). K(x,x \ 1) * (y * (K(x,x \ 1) * z)) = y * z. K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). K(x,x \ 1) * (y * (z * u)) = y * (z * (K(x,x \ 1) * u)). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). x != K(y,y \ 1) * L(y,z,u) | x = y * (L(y,z,u) * (1 / y)). L(T(x,x \ 1),y,z) = x * (L(x,y,z) * (1 / x)). x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). a(x,K(y,y \ 1) * z,u) = (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u). (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). K(x,x \ 1) * (y * (z \ 1)) = y * ((z \ x) * (1 / x)). x / (K(y,y \ 1) * z) = K(y,y \ 1) * (x / z). x != y * K(z \ 1,z) | x = K(z \ 1,z) * y. (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). T(x,(y \ z) \ u) = T(x,(((y \ 1) \ 1) \ z) \ u). T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). (x * K(y,y \ 1)) \ z = K(y,y \ 1) * (x \ z). x != (1 / y) \ (z * K(u,u \ 1)) | x = y / ((z \ u) * (1 / u)). K(x,x \ 1) * ((1 / y) \ z) = y / ((z \ x) * (1 / x)). x \ (y * (1 / (z * y))) = K(y,y \ 1) * (x \ (1 / z)). K(x,x \ 1) * (y \ (1 / z)) = y \ (x * (1 / (z * x))). x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. x \ (((y \ z) * (1 / z)) * u) = K(z,z \ 1) * (x \ ((y \ 1) * u)). K(x,x \ 1) * (y \ ((z \ 1) * u)) = y \ (((z \ x) * (1 / x)) * u). K(x,y \ ((z \ u) \ 1)) = K(x,y \ ((u \ 1) * z)). K(x,x \ 1) * (y * ((z \ x) * (1 / x))) = y * (z \ 1). K(x,y * ((1 / z) \ K(z \ 1,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). x / T(y * z,z \ 1) = K(z,z \ 1) * (x / (z * y)). K(x,x \ 1) * (y / (x * z)) = y / T(z * x,x \ 1). (K(x,x \ 1) * y) \ z = K(x,x \ 1) * (y \ z). x != T(y,(z * (1 / y)) \ u) | x = T(y,R(z,y \ 1,y) \ (y * u)). T(x,(y * (x \ 1)) \ z) = T(x,R(y,x \ 1,x) \ (x * z)). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). ((x \ y) * (1 / y)) / z = K(y,y \ 1) * (x \ (1 / z)). K(x,x \ 1) * (y \ (1 / z)) = ((y \ x) * (1 / x)) / z. (K(x,x \ 1) * (y \ z)) * ((y \ x) * (1 / x)) = ((y \ x) * (1 / x)) * (z * ((y \ x) * (1 / x))). K(x \ (y \ z),(y \ z) \ x) = K((y \ z) * x,x \ ((z \ 1) * y)). K((x \ y) * z,z \ ((y \ 1) * x)) = K(z \ (x \ y),(x \ y) \ z). x != K(y,z \ (u \ 1)) | x = K(y,(u * z) \ 1). K(x,y \ ((z \ 1) * u)) = K(x,((u \ z) * y) \ 1). K(x,((y \ z) * u) \ 1) = K(x,u \ ((z \ 1) * y)). x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). (K(x,x \ 1) * y) \ (z \ 1) = ((z * y) \ x) * (1 / x). x != y \ L((y \ 1) \ 1,z,u) | x = T(L(y,z,u) * (1 / y),y). L(x,y,z) * (1 / x) = T(L(x,y,z) * (1 / x),x). T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). (x \ L(x,y,z)) * x = L(x,y,z). T(x,x \ L(x,y,z)) = x. L(x,y,z) / x = x \ L(x,y,z). x * (y \ 1) != L(y \ 1,z,u) | x = y * L(y \ 1,z,u). (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). T(x,x \ (((y * x) \ y) \ 1)) = x. (1 / x) * L(x,y,z) = x \ L(x,y,z). (x \ L(x,y,z)) * x != u | u = L(x,y,z). (x \ L(x,y,z)) * x != u | L(x,y,z) = u. T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). 1 / (L(x,y,z) \ x) = x \ L(x,y,z). (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. T(x,L(y,z,u) \ y) / (L(y,z,u) \ y) = (y \ L(y,z,u)) * x. x != L(y,z,y) \ y | x = y \ R(y,z,y). (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). (x \ 1) * (L(x,y,z) \ x) = (x \ L(x,y,z)) \ (x \ 1). (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. R(x,y,(1 / z) \ (u \ 1)) = R(x,y,(z \ 1) \ (1 / u)). K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). x != K(y * (z * (u \ 1)),w) | x = K(y / (u / z),w). K(x * (y * (1 / z)),u) = K(x / (z / y),u). K(x * ((y \ z) * (1 / z)),u) = K(x / y,u). K(x * ((y \ 1) * z),u) = K(x / (z \ y),u). K(x * (y * z),u) = K(x / (z \ (1 / y)),u). K(x / (y \ (1 / z)),u) = K(x * (z * y),u). K((x \ (1 / y)) / z,u) = K(z * (y * x),u \ 1). x / (y * ((x \ 1) \ 1)) = (1 / (1 / x)) / (y * x). (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). (1 / (1 / x)) / (x * y) = x / ((y * K(x,y)) * ((x \ 1) \ 1)). x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). x != (1 / y) \ ((z * u) * w) | x = y / (w \ (u \ (z \ 1))). ((1 / x) \ (1 / y)) * K(z * u,(z * u) \ 1) = x / ((1 / (y * (z * u))) \ (u \ (z \ 1))). (L(x,y * (1 / (z * y)),y * (1 / (z * y))) * (u / (y * (1 / (z * y))))) / K(y,y \ 1) = ((y * (1 / (z * y))) * (((y * (1 / (z * y))) / u) / x)) \ (1 / z). (x \ (1 / y)) * K(z * u,u \ (z \ 1)) = x \ ((z * u) * (1 / (y * (z * u)))). (1 / (K(x,x \ 1) / (y \ (1 / z)))) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). (x \ 1) * (y * K(z,z \ 1)) != u * y | (x \ z) * (1 / z) = u. K(x,x \ 1) * (y * ((1 / z) * u)) = y * (x * (1 / ((u \ z) * x))). x != K(y,y \ 1) * (z * (u \ 1)) | x = ((u / z) \ y) * (1 / y). x * ((y \ z) * (1 / z)) = ((y / x) \ z) * (1 / z). ((x / y) \ z) * (1 / z) = y * ((x \ z) * (1 / z)). (((x / y) / z) \ x) * (1 / x) = z * (y * (1 / x)). (x * ((y \ z) * (1 / z))) \ 1 = (1 / z) \ (((y / x) \ z) \ 1). ((x \ y) \ z) * (1 / z) = (y \ 1) * (((x \ 1) \ z) * (1 / z)). (x \ 1) * (((y \ 1) \ z) * (1 / z)) = ((y \ x) \ z) * (1 / z). (x \ ((x * y) * z)) * (1 / x) = y * (z * (1 / x)). (x * (y * (1 / z))) / (1 / z) = z \ ((z * x) * y). x * y != (z \ ((z * u) * w)) * (1 / z) | x \ (u * (w * (1 / z))) = y. (1 / x) \ (y * (z * (1 / x))) = ((x * y) * z) * (x \ 1). x != (y * (z * u)) / u | x = u / (z \ (y \ u)). x \ ((x * y) * z) = (1 / x) / (z \ (y \ (1 / x))). (1 / x) / (y \ (z \ (1 / x))) = x \ ((x * z) * y). (x * (y / z)) / (1 / z) = z \ ((z * x) * L(y,z,z)). x \ ((x * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). 1 / ((x \ (y \ (1 / z))) * z) = z \ ((z * y) * x). x != (y \ 1) \ z | x = (y * y) * (y \ z). 1 / ((x \ (y \ (1 / (z \ 1)))) * (z \ 1)) = (z * z) * (z \ (((z \ 1) * y) * x)). (x \ ((x * y) * z)) \ 1 = (z \ (y \ (1 / x))) * x. (x \ ((x * (1 / y)) * z)) \ 1 = (z \ (y / x)) * x. (x \ ((x * ((y \ 1) \ 1)) * (1 / z))) \ 1 = (z / (((1 / x) \ 1) * y)) * x. x != (y \ ((y * (1 / z)) * u)) \ 1 | x = (y \ 1) * ((u * (y \ 1)) \ z). (x \ (y / z)) * z = (z \ 1) * ((x * (z \ 1)) \ y). (x \ 1) * ((y * (x \ 1)) \ z) = (y \ (z / x)) * x. ((x \ ((x * (1 / y)) * z)) / u) \ 1 = u * ((z \ (y / x)) * x). (x \ 1) * y != z * x | y = (x * z) * x. (x * (y \ 1)) \ z = (y * (x \ (z / y))) * y. (x * (y \ (z / x))) * x = (y * (x \ 1)) \ z. ((x \ 1) \ 1) * (((x \ y) \ 1) \ z) = ((y \ 1) \ (z / (x \ 1))) * (x \ 1). ((x \ 1) \ (y / (z \ 1))) * (z \ 1) = ((z \ 1) \ 1) * (((z \ x) \ 1) \ y). (x \ 1) * ((y \ (x \ 1)) \ z) = ((((x \ 1) * y) \ (x \ 1)) \ (z / x)) * x. ((((x \ 1) * y) \ (x \ 1)) \ (z / x)) * x = (x \ 1) * ((y \ (x \ 1)) \ z). R(x,y \ 1,z) = z / ((x \ (z / y)) * y). x / ((y \ (x / z)) * z) = R(y,z \ 1,x). x * y != (z * (u \ 1)) \ w | x \ ((u * (z \ (w / u))) * u) = y. ((x \ 1) \ K(y,z)) \ ((x * (K(z,y) \ (u / x))) * x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). (x * (y \ z)) * x = (y * (x \ 1)) \ (z * x). (x * (y \ 1)) \ (z * y) = (y * (x \ z)) * y. x != y \ ((y * z) * L(u,y,y)) | x = ((y * (1 / u)) / z) \ y. (x * (y / z)) / (1 / z) = ((z * (1 / y)) / x) \ z. R(x,1 / y,y / z) = ((z * (1 / y)) / (x * (1 / y))) \ z. ((x * (1 / y)) / (z * (1 / y))) \ x = R(z,1 / y,y / x). x != (L(y,z,z) * (u / z)) / (1 / z) | x = (z \ ((z / u) / y)) \ 1. ((x * (1 / y)) / L(z,x,x)) \ x = (x \ ((x / y) / z)) \ 1. ((((x * (1 / y)) / z) \ x) \ u) * (1 / u) = (1 / x) * (((z * (y / x)) \ u) * (1 / u)). x != K(y,y \ 1) * ((1 / z) \ u) | x = (y * (1 / (z * y))) \ u. x / ((y \ z) * (1 / z)) = (z * (1 / (x * z))) \ y. (1 / x) * ((y / x) \ ((z \ u) * (1 / u))) = (((u * (1 / (x * u))) \ z) * y) \ x. L(x,(y * (1 / (1 * y))) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). K(x,x \ 1) * (y / z) = (1 / y) \ (x * (1 / (z * x))). (1 / x) \ (y * (1 / (z * y))) = K(y,y \ 1) * (x / z). x != K(y,y \ 1) * (z \ (1 / u)) | x = z \ (y * (1 / (u * y))). ((x \ y) * (1 / y)) / z = x \ (y * (1 / (z * y))). x != ((y \ z) * (1 / z)) / ((u \ (y \ (z \ 1))) * z) | x = R(u,u \ (y \ (z \ 1)),z). x \ (y * (1 / (((z \ (x \ (y \ 1))) * y) * y))) = R(z,z \ (x \ (y \ 1)),y). R(x,x \ (y \ (z \ 1)),z) = y \ (z * (1 / (((x \ (y \ (z \ 1))) * z) * z))). (x \ (1 / y)) / z = (y * x) \ (y * (1 / (z * y))). (x * y) \ (x * (1 / (z * x))) = (y \ (1 / x)) / z. ((x \ 1) * y) / z = (y \ x) \ (y * (1 / (z * y))). (x \ y) \ (x * (1 / (z * x))) = ((y \ 1) * x) / z. K(x * y,x \ 1) / z = K(y,x) \ (x * (1 / (z * x))). K(x,y) \ (y * (1 / (z * y))) = K(y * x,y \ 1) / z. (x \ y) \ ((x \ 1) * z) = ((y \ 1) * x) / (z \ x). ((x \ 1) * y) / (z \ y) = (y \ x) \ ((y \ 1) * z). (x * y) / (z \ y) = (y \ (1 / x)) \ ((y \ 1) * z). (x \ (1 / y)) \ ((x \ 1) * z) = (y * x) / (z \ x). ((1 / x) \ (1 / y)) \ (((1 / x) \ 1) * (1 / z)) = (y * (1 / x)) / (z / x). L(x,y,z) \ 1 = (x \ 1) * (L(x,y,z) \ x). (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. x * y != (z \ 1) * (L(z,u,w) \ z) | x \ (L(z,u,w) \ 1) = y. x \ (L(x,y,z) \ 1) = 1 / (x * L(x,y,z)). 1 / (x * L(x,y,z)) = x \ (L(x,y,z) \ 1). (x \ (L(x,y,z) \ 1)) \ 1 = x * L(x,y,z). x != (y \ (L(y,z,u) \ 1)) \ 1 | x = (y \ 1) \ L(y,z,u). x * L(x,y,z) = (x \ 1) \ L(x,y,z). (x \ 1) \ L(x,y,z) = x * L(x,y,z). ((x * y) \ x) \ L(L(y,x,x),z,u) = L(y,x,x) * L(L(y,x,x),z,u). T(((x * y) * z) * (x \ 1),x) = (y * (z * (1 / x))) * x. (x \ 1) \ (((x * y) * z) * (x \ 1)) = x * (x * (y * (z * (1 / x)))). x != (1 / T(y,K(z,z \ 1) * u)) \ (z * (1 / (u * z))) | x = (z * (1 / (u * z))) * y. K(x,x \ 1) * (T(y,K(x,x \ 1) * z) / z) = (x * (1 / (z * x))) * y. T(x,y) * (1 / (z * x)) = K(x * y,x \ 1) / z. K(x * y,x \ 1) / z = T(x,y) * (1 / (z * x)). K(x,y \ 1) / z = T(y,y \ x) * (1 / (z * y)). T(x,x \ y) * (1 / (z * x)) = K(y,x \ 1) / z. (T(x,y) * (1 / ((z * u) * x))) \ (K(x * y,x \ 1) / u) = R(z,u,K(x * y,x \ 1) \ 1). (1 / x) * ((x * y) * z) = (y * (z * (1 / x))) * x. (x * (y * (1 / z))) * z = (1 / z) * ((z * x) * y). x != (y * (y * (1 / z))) * z | x = T(((1 / z) \ y) * (z \ T(y,z \ 1)),z). (1 / x) * ((x * y) * y) = T(((1 / x) \ y) * (x \ T(y,x \ 1)),x). T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (1 / x) * ((x * y) * y). x * ((1 / x) * ((x * y) * z)) = ((1 / x) \ y) * L(z,x,x). (1 / (x / y)) * (x * y) = (1 / (x * y)) * (((x * y) * y) * y). (1 / (x * y)) * (((x * y) * y) * y) = (1 / (x / y)) * (x * y). (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. T(x,R(y,x \ 1,x) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). x != ((y * z) / (u * z)) \ y | x = R(u,z,z \ (y \ 1)). R(x,1 / y,y / z) = R(x,1 / y,(1 / y) \ (z \ 1)). R(x,1 / y,(1 / y) \ (z \ 1)) = R(x,1 / y,y / z). x != R(y,z,(1 / u) \ (w \ 1)) | x = R(y,z,(u \ 1) \ (1 / w)). R(x,1 / y,y / z) = R(x,1 / y,(y \ 1) \ (1 / z)). R(x,1 / y,(y \ 1) \ (1 / z)) = R(x,1 / y,y / z). x != (y \ ((y / z) / u)) \ 1 | x = (1 / y) * ((y * u) * z). ((x * (1 / y)) / L(z,x,x)) \ x = (1 / x) * ((x * z) * y). (((x / y) / z) / x) \ x = ((1 / x) \ z) * L(y,x,x). ((1 / x) \ y) * L(z,x,x) = (((x / z) / y) / x) \ x. ((x \ 1) \ y) * L(z,T(x,x \ 1),T(x,x \ 1)) = (((T(x,x \ 1) / z) / y) / T(x,x \ 1)) \ T(x,x \ 1). (((T(x,x \ 1) / y) / z) / T(x,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,T(x,x \ 1),T(x,x \ 1)). (L(x,y,y) / y) * (y * z) = (1 / y) * ((y * x) * z). (x * (1 / y)) * (y * z) = (1 / y) * ((y * x) * z). x * y != z * u | x \ L((z \ 1) \ u,z,z) = y. (1 / x) \ L(((y * (1 / x)) \ 1) \ (x * z),y * (1 / x),y * (1 / x)) = (x * y) * z. (x * (1 / (y \ 1))) * (y \ z) = (1 / (y \ 1)) * (((y \ 1) * x) * L(z,y,y)). (1 / (x \ 1)) * (((x \ 1) * y) * L(z,x,x)) = (y * (1 / (x \ 1))) * (x \ z). (x \ (y / x)) * (x * z) = (1 / x) * ((x * (((x \ 1) \ 1) \ y)) * z). (1 / x) * ((x * (((x \ 1) \ 1) \ y)) * z) = (x \ (y / x)) * (x * z). x * y != (y / z) * (u * y) | x = y / (u \ z). (K(x \ y,y \ x) / z) * u = K(x \ y,y \ x) / (u \ z). K(x \ y,y \ x) / (z \ u) = (K(x \ y,y \ x) / u) * z. x * y != (y / (z * u)) * (z * y) | x = y / u. (K(x \ y,y \ x) / (z * u)) * z = K(x \ y,y \ x) / u. x * (y * K(z \ u,u \ z)) != w * K(z \ u,u \ z) | x * y = w. x * K(y \ z,z \ y) != u * (w * K(y \ z,z \ y)) | u * w = x. x * y != (z * (u * K(w \ 1,w))) * v5 | (K(w \ 1,w) * ((z * u) * v5)) / y = x. (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). L(x,y * K(z \ 1,z),u) = (u * y) \ (K(z,z \ 1) * (u * (K(z \ 1,z) * (y * x)))). (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y,y \ 1). x / (((x \ 1) \ 1) * y) = (1 / (1 / x)) / (x * y). (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). ((x \ y) * (1 / y)) \ (z \ 1) = (1 / y) \ (((x / z) \ y) \ 1). (x \ 1) * (y * (((y \ z) \ 1) \ 1)) = ((z \ x) \ y) * (1 / y). (L(1 / x,y,y) * (z / y)) \ 1 = y * ((z \ (x / y)) * y). ((x \ (x / y)) * (z / x)) \ 1 = x * ((z \ (y / x)) * x). (x / y) \ ((y \ (y / z)) \ 1) = y * ((x \ (z / y)) * y). (x / y) \ L(z,y,y) = y * ((x \ (z / y)) * y). x * ((y \ (z / x)) * x) = (y / x) \ L(z,x,x). (K(x \ y,y \ x) / z) / u = K(x \ y,y \ x) / (u * z). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). x != T(y,R(K(z,z \ 1) / u,w,v5)) | x = T(y,R(u \ K(z,z \ 1),w,v5)). T(x,R(y \ 1,z,u)) = T(x,R(y \ K(w,w \ 1),z,u)). T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). T(x * y,y \ 1) \ z = ((y * x) \ z) * K(y,y \ 1). ((x * y) \ z) * K(x,x \ 1) = T(y * x,x \ 1) \ z. x / (T(y * z,z \ 1) \ u) = K(z,z \ 1) * (x / ((z * y) \ u)). K(x,x \ 1) * (y / ((x * z) \ u)) = y / (T(z * x,x \ 1) \ u). x != (1 / y) \ ((z \ y) \ 1) | x = y * (((y \ z) \ 1) \ 1). ((x \ y) * (1 / y)) \ (z \ 1) = y * (((y \ (x / z)) \ 1) \ 1). x * (y * (((y \ z) \ 1) \ 1)) = ((z \ (1 / x)) \ y) * (1 / y). ((x \ (1 / y)) \ z) * (1 / z) = y * (z * (((z \ x) \ 1) \ 1)). (x \ 1) * (y * (1 / (z * y))) = (((z \ 1) \ x) \ y) * (1 / y). (((x \ 1) \ y) \ z) * (1 / z) = (y \ 1) * (z * (1 / (x * z))). x != K(y \ z,z \ y) / u | x = (z * y) * (1 / (u * (z * y))). (K(x \ y,y \ x) / z) / u = (y * x) * (1 / ((u * z) * (y * x))). (x * y) * (1 / ((z * u) * (x * y))) = (K(y \ x,x \ y) / u) / z. (K(x \ y,y \ x) / (z * u)) * z != w * v5 | w \ (K(x \ y,y \ x) / u) = v5. ((x \ y) * (1 / y)) \ z = y * (((y \ (x / (1 / z))) \ 1) \ 1). x * (((x \ (y / (1 / z))) \ 1) \ 1) = ((y \ x) * (1 / x)) \ z. (((1 / ((x \ (1 / y)) * (1 / z))) \ z) \ 1) \ (1 / u) = (y * (z * (((z \ x) \ 1) \ 1))) \ (1 / u). ((x \ 1) \ y) \ K(z,z \ 1) = (y \ 1) * (z * (1 / (x * z))). ((x \ 1) \ y) * K(z,z \ 1) = ((x \ z) * (1 / z)) \ y. (x \ y) * K(z,z \ 1) = (((1 / x) \ z) * (1 / z)) \ y. (((1 / x) \ y) * (1 / y)) \ z = (x \ z) * K(y,y \ 1). ((x \ (y \ 1)) \ z) * K(u,u \ 1) = (((y * x) \ u) * (1 / u)) \ z. (((x \ y) * (1 / y)) \ z) * u = ((x \ 1) \ z) * (K(y,y \ 1) * u). ((x \ 1) \ y) * (K(z,z \ 1) * u) = (((x \ z) * (1 / z)) \ y) * u. (((1 / x) \ (y / z)) * (1 / (y / z))) \ u = (x \ u) * K(z \ y,y \ z). T(x,y * x) * (1 / x) = x * (((T(x,y \ 1) \ 1) \ 1) \ 1). T(x,y * x) * (1 / x) = x * (1 / T(x,y \ 1)). T(x,x * y) * (1 / x) = x * (1 / T(x,y \ 1)). K(x * (x * y),x \ 1) = x * (1 / T(x,y \ 1)). x != y * (1 / T(y,z)) | x = K(y,z \ (y \ 1)). K(x * (x * y),x \ 1) = K(x,(y \ 1) \ (x \ 1)). x != K(y,(z \ 1) \ (y \ 1)) | x = K(y,y \ z). K(x * (x * y),x \ 1) = K(x,x \ y). x * y != K(z * (z * u),z \ 1) | K(z,z \ u) / y = x. K(x,x \ y) / x = (x * (x * y)) / ((x * (x * y)) * x). (x * (x * y)) / ((x * (x * y)) * x) = K(x,x \ y) / x. x \ K(x,x * y) = K(x,x \ y) / x. K(x,x \ y) / x = x \ K(x,x * y). R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. (x \ y) * (T(T((1 / x) * y,y),x) \ z) = (y / x) * (T(x \ y,x) \ z). x != T(y \ z,u) * ((z \ y) * K(u,y \ z)) | x = (y \ z) * (z \ y). T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). T(x,(y \ z) * (z \ y)) = x. T(x,y * ((z * y) \ z)) = x. (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). x != T(y * L(y \ 1,y,z),u) | x = T(y,u) * ((z * T(y,u)) \ z). x * ((y * x) \ y) = T(x,z) * ((y * T(x,z)) \ y). T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). x != (1 / ((y * z) \ y)) / z | x = z \ (1 / ((y * z) \ y)). (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. T(x,y) * K(z,T(x,y)) = T(x * K(z,x),K(x,u) * y). T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). x != T(y,z) * K(u,T(y,z)) | x = T(y * K(u,y),z). T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). x != T(y * K(z * R(y,u,w),y),z) | x = R(y,z,R(y,u,w)). T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). x != T(y,y * z) * R(y \ T(y * z,y),u,w) | x = T(y * R(z,u,w),y * z). T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). x != L(T(y,z),u,w) \ L(y,u,w) | x = K(z,L(y,u,w)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). K(x \ y,L(z,u,w)) = K(x \ T(y,z),L(z,u,w)). K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). x != K(y,T(z \ 1,u) \ y) | x = K(y,T(z * y,u)). K(x,y \ ((((y \ z) \ 1) \ y) * x)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). x != K(y,z \ ((u \ z) * y)) | x = K(y,T(u \ y,z)). K(x,T((y \ z) * x,z)) = K(x,T(((y \ z) \ 1) \ x,y)). K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). x != T(y,T(T(z \ u,w),z)) | x = T(y,T(u / z,w)). T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T((y \ z) / z,T(y,u))). T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). x != T(y,(z \ u) / u) | x = T(y,z \ 1). T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). x != T(y,((z \ 1) \ 1) \ u) | x = T(y,z \ u). T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(1 / (x * y),x * y). T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. x != R(y,z,u) * (y \ K(w,T(y,v5))) | x = T(y,T(w,v5)) \ R(y,z,u). (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). x != (y \ R(y,z,y)) * T(K(z,y),u) | x = K(z * y,y) * K(z,K(y,u)). T(x,T(y,z)) \ R(x,y,x) = K(y * x,x) * K(y,K(x,z)). K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). K(x * y,T(y,z)) = T(y,T(x,z)) \ R(y,x,y). T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). x != T(y,T(z,u)) \ R(y,w,y) | x = K(z,T(y,u)) * a(y,w,y). K(x * y,T(y,z)) = K(x,T(y,z)) * a(y,x,y). K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). (x * (y * (z \ (y / z)))) * K(y / z,z) = x * ((y / z) * (z \ y)). L(x,(1 / y) * z,(1 / y) * z) = T(T(x,z \ y),y \ z). x != T(T(y,z),u) | x = T(T(y,u),z). L(x,(1 / y) * z,(1 / y) * z) = T(T(x,y \ z),z \ y). x != L(y,(1 / z) * u,(1 / z) * u) | x = ((1 / z) * u) * ((u \ z) * y). T(T(x,y \ z),z \ y) = ((1 / z) * y) * ((y \ z) * x). ((1 / x) * y) * ((y \ x) * z) = T(T(z,y \ x),x \ y). x != T(T(y,z \ u),u \ z) | x = L(y,z \ u,z \ u). L(x,(1 / y) * z,(1 / y) * z) = L(x,y \ z,y \ z). L(x,y \ z,y \ z) = ((1 / y) * z) * ((z \ y) * x). ((1 / x) * y) * ((y \ x) * z) = L(z,x \ y,x \ y). (((1 / x) * y) * z) * ((z \ (y \ x)) * u) = L(u,(y \ x) \ z,(y \ x) \ z). x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). x * L(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). x != (y \ z) \ T((1 / z) * y,u) | x = (z \ y) * T(z \ y,u). ((1 / x) * y) * T((1 / x) * y,z) = (x \ y) * T(x \ y,z). (1 / x) \ ((y \ z) * T(y \ z,u)) = x / ((z * T((1 / y) * z,u)) \ y). x / ((y * T((1 / z) * y,u)) \ z) = (1 / x) \ ((z \ y) * T(z \ y,u)). K(x,x \ y) * (((y / x) * (y / x)) \ z) = ((y / x) * (x \ y)) \ z. (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). (x \ K(y,z)) * (T(z,y) * T(z,y)) = (x \ z) * (u / (T(z,y) \ u)). ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y,z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). K(x \ y,y \ x) = K(x \ y,x * (y \ 1)). K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). x * y != (z * R(K(u,w),v5,v6)) * R(K(w,u),v5,v6) | z / y = x. x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). x != (y * K(z,T(u,w))) \ (y * u) | x = T(u,T(z,w)). T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). T(x,L(T(y,z),u,w)) = T(x,L(T(y,z * y),u,w)). T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). x != ((y \ z) * T(u,z \ y)) * (y \ z) | x = (y \ z) * ((y \ z) * u). T((x \ y) \ z,z) / (x \ y) = (y \ x) * ((y \ x) * z). x != T(y \ z,z) / y | x = (y \ z) / T(y,z). (x \ y) * ((x \ y) * z) = ((y \ x) \ z) / T(y \ x,z). ((x \ y) \ z) / T(x \ y,z) = (y \ x) * ((y \ x) * z). x != T((y \ z) \ u,u) / (y \ z) | x = ((1 / z) * y) * (((1 / z) * y) * u). (x \ y) * ((x \ y) * z) = ((1 / x) * y) * (((1 / x) * y) * z). ((1 / x) * y) * (((1 / x) * y) * z) = (x \ y) * ((x \ y) * z). x != ((y \ (z \ 1)) \ u) / T(y \ (z \ 1),u) | x = (z * y) * ((z * y) * u). ((x \ 1) \ y) * (((x \ 1) \ y) * z) = (x * y) * ((x * y) * z). x != ((1 / y) * z) * (((1 / y) * z) * u) | x = ((z \ y) \ 1) * (((z \ y) \ 1) * u). (x \ y) * ((x \ y) * z) = ((y \ x) \ 1) * (((y \ x) \ 1) * z). ((x \ y) \ 1) * (((x \ y) \ 1) * z) = (y \ x) * ((y \ x) * z). (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (y \ ((x \ 1) \ 1)) * ((y \ ((x \ 1) \ 1)) * z). (1 / (x * y)) * ((((y \ 1) \ 1) \ (1 / x)) * z) = ((y \ 1) * (1 / x)) * (((y \ 1) * (1 / x)) * z). ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (1 / (y * x)) * ((((x \ 1) \ 1) \ (1 / y)) * z). ((((x \ y) \ y) \ 1) \ (1 / y)) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). ((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * (((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * z) = (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z). K((x \ (1 / y)) / z,T(u,y * x)) = K(z \ (x \ (1 / y)),u). x != K((y \ (1 / z)) / u,w) | x = K(u * (z * y),w \ 1). K(x \ (y \ (1 / z)),u) = K(x * (z * y),T(u,z * y) \ 1). K(x * (y * z),T(u,y * z) \ 1) = K(x \ (z \ (1 / y)),u). K(x * (y * z),T(u \ 1,y * z)) = K(x \ (z \ (1 / y)),u). K(x \ (y \ (1 / z)),u) != w | K((z * y) * x,u \ 1) = w. T(x,(((y \ 1) \ K(z,u)) \ (K(z,u) * y)) * w) = T(x,K(K(z,u),y) * w). K(x,x \ 1) * y != (x * (1 / (z * x))) \ u | y = (1 / z) \ u. (x * (1 / (y * x))) \ ((z \ 1) * u) = (1 / y) \ (((z \ x) * (1 / x)) * u). x * y != K(z,z \ 1) * (x * (u * w)) | y = u * (K(z,z \ 1) * w). x * (1 / ((y \ z) * x)) = (1 / z) * (K(x,x \ 1) * y). (1 / x) * (K(y,y \ 1) * z) = y * (1 / ((z \ x) * y)). (1 / x) * (y * (z * (1 / (u * z)))) = z * (1 / (((y * (1 / u)) \ x) * z)). T((x * y) * z,x \ 1) = x * (x * (y * (z * (1 / x)))). x * (x * (y * (z * (1 / x)))) = T((x * y) * z,x \ 1). (1 / x) * ((K(x,x \ 1) * y) * z) = (x \ (y / x)) * (x * z). (1 / x) * (K(x,x \ 1) * (y * z)) = (x \ (y / x)) * (x * z). x != (1 / y) * (K(y,z) * u) | x = (K(y,z) / y) * u. (x \ (y / x)) * (x * z) = (K(x,x \ 1) / x) * (y * z). (K(x,x \ 1) / x) * (y * z) = (x \ (y / x)) * (x * z). (x \ K(x,x * 1)) * (y * z) = (x \ (y / x)) * (x * z). (x \ K(x,x)) * (y * z) = (x \ (y / x)) * (x * z). (x \ 1) * (y * z) = (x \ (y / x)) * (x * z). (x \ (y / x)) * (x * z) = (x \ 1) * (y * z). ((x \ 1) * y) \ ((x \ 1) * (y * z)) = L(z,x,x \ (y / x)). L(x,y,y \ (z / y)) = ((y \ 1) * z) \ ((y \ 1) * (z * x)). L(x,y,y \ (z / y)) != u | L(x,z,y \ 1) = u. L(x,y,z * (y \ 1)) != u | L(x,y * z,y \ 1) = u. (1 / (1 / x)) / K(y,x) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). x != (1 / (1 / y)) / K(z,y) | x = T(1 / (1 / y),z). x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). (((x * y) * ((1 / (x * y)) * 1)) \ z) * K(u,u \ 1) = ((((y \ (x \ 1)) * (x * y)) \ u) * (1 / u)) \ z. ((x \ 1) \ y) * (1 / y) = ((x \ y) * (1 / y)) \ 1. ((x \ y) * (1 / y)) \ 1 = ((x \ 1) \ y) * (1 / y). ((x \ 1) \ y) * (z * K(u,u \ 1)) = (((x \ u) * (1 / u)) \ y) * z. ((x \ 1) \ y) * (K(z,z \ 1) / (u \ w)) = (((x \ z) * (1 / z)) \ y) * ((1 / w) * u). (((x \ y) * (1 / y)) \ z) * ((1 / u) * w) = ((x \ 1) \ z) * (K(y,y \ 1) / (w \ u)). (((x \ 1) \ y) * (1 / y)) \ ((1 / ((x \ y) * (1 / y))) \ z) = ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z). (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(x * y,(x * y) \ 1). x != K(y \ (z * K(u,w)),T(u,v5)) | x = K(y \ z,T(u,v5)). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). (x * (y * (z \ (y / z)))) * K(z \ y,z) = x * ((y / z) * (z \ y)). x != L(K(y,z),u,w) * K(z,v5) | x = K(z,v5) * L(K(y,z),u,w). (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). K(x,x \ y) * ((y * (x \ (y / x))) \ z) = ((y / x) * (x \ y)) \ z. T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). (x \ K(y,z)) * ((T(z,y) \ 1) \ T(z,y)) = (x \ z) * (u / (T(z,y) \ u)). x != K(y \ (z \ 1),u * T(w,w \ 1)) | x = K(y \ (1 / z),u * w). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). K(x \ (y \ 1),y * x) = K(x \ (1 / y),x * y). K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). x != K(y \ (1 / z),y * z) | x = K((y * z) \ 1,y * z). K(x \ (y \ 1),y * x) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). x != y * ((1 / y) * K(z,u)) | x = K(y,y \ 1) * K(z,u). (((x \ y) * (1 / y)) \ z) * (1 / ((x \ 1) \ z)) = K((x \ 1) \ z,((x \ 1) \ z) \ 1) * K(y,y \ 1). K((x \ 1) \ y,((x \ 1) \ y) \ 1) * K(z,z \ 1) = (((x \ z) * (1 / z)) \ y) * (1 / ((x \ 1) \ y)). x != (y \ (z \ 1)) * ((z * y) * u) | x = (z * y) * ((1 / (z * y)) * u). (((x \ y) * (1 / y)) \ (z \ 1)) * (z * (x \ 1)) = (z * (x \ 1)) * ((1 / (z * (x \ 1))) * K(y,y \ 1)). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = (((y \ z) * (1 / z)) \ (x \ 1)) * (x * (y \ 1)). (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(x * y,y \ (x \ 1)). K(x,y) * L(K(z,x),u,w) != v5 | L(K(x,z),u,w) \ K(x,y) = v5. (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). 1 * x != (y \ (1 / z)) * (1 / (y \ (1 / z))) | x = (z * ((y \ 1) \ 1)) \ (((z \ 1) \ 1) * y). K(x * y,y \ (x \ 1)) = (y * ((x \ 1) \ 1)) \ (((y \ 1) \ 1) * x). (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = K(y * x,x \ (y \ 1)). x != K(y * z,z \ (y \ 1)) | x = K(z \ y,y \ z). (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = K(x \ y,y \ x). (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). K(x * (y * z),(x * y) * z) = K(a(x,y,z),(y * z) \ (x \ 1)). K(a(x,y,z),(y * z) \ (x \ 1)) = K(x * (y * z),(x * y) * z). (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. K((x * y) \ z,y) != u | K((y * x) \ z,y) = u. K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). x != y \ R(y,z,y) | x = a(y,z,y). K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. K(x,T(y,L(y,z,u) * w)) = L(K(x,T(y,w)),w,L(y,z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). x != L(K(y,T(z,u)),w,L(z,v5,v6)) | x = K(y,T(z,u)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) \ z)). K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). K(x * y,T(x,z)) = K(x * y,T(x,z * y)). K(x * y,T(x,z * y)) = K(x * y,T(x,z)). K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. K(x * y,T(y,z * x)) = K(y * x,T(y,z)). K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). K(x,T(y \ x,z)) = K(x,T(y \ x,z * y)). K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,u / z)) | x = K(y,T(z \ y,z \ u)). K(x,T(y \ x,z)) = K(x,T(y \ x,y \ z)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,z \ u)) | x = K(y,(u / (u / z)) \ y). K(x,T(y \ x,z)) = K(x,(z / (z / y)) \ x). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). x != K(y,((y * z) / u) \ y) | x = K(y,u / z). K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). K(x,T(y \ x,z)) = K(x,((x * z) / y) / z). K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). x != K(y,z / R(T(y,u),w,v5)) | x = K(y,R(y,w,v5) \ z). K(x,T(y \ x,R(T(x,z),u,w))) = K(x,R(x,u,w) \ ((x * R(T(x,z),u,w)) / y)). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. K(x,y) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). x != K(y,z) * K(z * y,y) | x = y \ R(y,z,y). x \ R(x,y * K(x,z),x) = x \ R(x,y,x). a(x,y * K(x,z),x) = x \ R(x,y,x). a(x,y,T(x,z)) = x \ R(x,y,x). a(x,y,T(x,z)) != u | a(x,y,x) = u. K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). K(x,y) * T(y,x * y) = L(y,K(z,y) * x,y). L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). x != K(y,z) * T(z,y * z) | x = L(z,y,z). L(x,K(y,x) * z,x) = L(x,z,x). L(x,T(x,y) \ z,x) = L(x,x \ z,x). x != L(y,T(y,z) \ u,y) | x = L(y,u / T(y,z),y). L(x,x \ y,x) = L(x,y / T(x,z),x). L(x,y / T(x,z),x) = L(x,x \ y,x). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))). K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). L(T(K(x,y),z * u),u,z) = (z * u) / (z * (u * K(y,x))). (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). (x * y) / (x * (K(z,u) * y)) = L(K(u,T(T(z,y),x * y)),y,x). L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). x != L(K(y,T(T(z,u),w * u)),u,w) | x = K((w * u) / (w * (y \ u)),z). (x * y) / (x * (K(z,u) * y)) = K((x * y) / (x * (u \ y)),z). K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),u \ (w * x)). K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),u \ (x * w)). K(x \ (y * z),L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). T(x,T(y / (x \ z),u)) = x * K(x,T((z / y) \ x,u)). x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). x != T(y,T(z / (y \ u),w)) | x = T(y,T(y * (z / u),w)). T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). x != T(y,T(z / (y \ u),u)) | x = T(y,u \ (y * z)). T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). T(x,T(y \ x,z)) = T(x,z \ (x * (y \ z))). T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. x != (y * (T(y / z,y) / u)) \ y | x = L(u,y,y) * ((1 / y) * z). L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x,y,y) * ((1 / y) * z). x != L(y,T(z,u),T(z,u)) * (u / T(z,u)) | x = L(y * (z \ u),z,z). L(x,y,y) * ((1 / y) * z) = L(x * (y \ z),y,y). (x / y) \ L(x * (y \ z),y,y) = L(z,1 / y,L(x,y,y)). K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. L(K(x \ y,x),z,y) = (y * (K(x \ y,x) * z)) / (y * z). (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). x / (K(R(y * z,u,w),y) * x) = K(R(R(y,z,u),z * u,w),y * z). K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). x != (y * z) \ ((y * (z * K(u,w))) * K(w,u)) | x = a(y,z * K(u,w),K(w,u)). K(x,y) * L(K(y,x),z,u) = a(u,z * K(y,x),K(x,y)). a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). a(x,y,K(z,u)) = K(z,u) * L(K(u,z),y * K(z,u),x). K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). a(x,y,K(z,u)) != K(z,u) * w | L(K(u,z),y,x) = w. x * a(y,z,K(x,u)) = T(x,u) * L(K(u,x),z,y). T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). x * a(y,z,K(u,w)) != K(u,w) | x = L(K(u,w),z,y). x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). K(x,y \ ((y * z) * x)) * a(u,z,K(x,x * z)) = K(x,x * z). K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). (x * y) * a(z,u,K(y,w)) = (x * T(y,w)) * L(K(w,y),u,z). (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). K(x,y) * z != K(x,u) | z = K(x,u) * K(y,x). a(x,y,K(z,z * y)) = K(z,z * y) * K(u \ ((u * y) * z),z). L(K(x * y,x),y,z) = K(u \ ((u * y) * x),x). L(K(x * y,y),x,z) = K(u \ ((u * x) * y),y). x != K(y \ (z * T(u,w)),T(u,v5)) | x = K(y \ (u * z),T(u,v5)). L(K(x * T(y,z),T(y,z)),x,u) = K(w \ (y * (w * x)),T(y,z)). L(K(x * y,T(y,z)),x,u) = K(w \ (y * (w * x)),T(y,z)). L(K(x * y,T(x,z)),y,u) = K(w \ (x * (w * y)),T(x,z * y)). L(K(x * y,T(x,z)),y,u) = K((z / (z * y)) \ x,x). K(x * y,T(x,z)) = K((z / (z * y)) \ x,x). K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). x != K((y / z) \ u,u) | x = K(u * (z / y),u). K(x * y,T(x,z)) = K(x * ((z * y) / z),x). K(x * ((y * z) / y),x) = K(x * z,T(x,y)). K((x / y) \ z,z) = K(z * (x \ y),T(z,x)). K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). K(x * (y / z),x) = K(x * (z \ y),T(x,z)). K(x * (y \ z),T(x,y)) = K(x * (z / y),x). K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). x != K(y * (z \ u),T(y,z)) | x = K(y * (z \ u),T(y,u)). K(x * (y / z),x) = K(x * (z \ y),T(x,y)). K(x * (y \ z),T(x,z)) = K(x * (z / y),x). x != K((y \ z) * u,T(u,y)) | x = K(z / y,u) * a(u,y \ z,u). K((x / y) \ z,z) = K(y / x,z) * a(z,x \ y,z). K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). x != y \ T(z,u \ 1) | x = y \ ((z \ (u \ z)) \ (u \ z)). a(x,y \ z,x) = T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)). T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). x != R(K(y,T(T(z,u),u * w)),u,w) | x = (u * w) \ ((u * K(y,z)) * w). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). L(x,y,z) = K(u \ 1,u) * L(x * K(u,u \ 1),y,z). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). K(x,x \ 1) * L(y,z,u) = L(y * K(x,x \ 1),z,u). L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). x != K(y \ 1,y) * L(z * K(y,y \ 1),u,w) | x = (y \ L(y * (z / y),u,w)) * y. L(x,y,z) = (u \ L(u * (x / u),y,z)) * u. (x \ L(x * (y / x),z,u)) * x = L(y,z,u). x * (L(y,z,u) / x) = L(x * (y / x),z,u). L(x * (y / x),z,u) = x * (L(y,z,u) / x). (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). x != (y \ 1) * ((z \ ((y \ 1) \ u)) * z) | x = ((z \ (u * y)) * z) / y. x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | u = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). K((x \ y) \ z,y) = K((y / x) \ z,y). K((x / y) \ z,x) = K((y \ x) \ z,x). L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). K((x * (y \ z)) \ u,z) = K((x * (z / y)) \ u,z). K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). K((x * (y / x)) \ z,y) = K(y \ z,y). x != K((y * (z / y)) \ (z * u),z) | x = K(K(y \ z,y) * u,z). K(x \ (x * y),x) = K(K(z \ x,z) * y,x). K(x,y) = K(K(z \ y,z) * x,y). K(K(x \ y,x) * z,y) = K(z,y). T(K(x \ y,x) * z,y) = (K(x \ y,x) * z) * K(z,y). (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). T(x,y * z) * K(z,y) = T(x * K(z,y),y * z). T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). (x \ (y * z)) * x = (y * K((z \ 1) \ (x \ y),x)) * z. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. x * y != (z \ ((y \ (z * u)) * y)) * z | x = y \ (u * z). (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). K(x,y \ (z * R(x,u,w))) = K(x,y \ (R(x,u,w) * z)). K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). K(x,y \ ((x * z) * u)) = K(x,y \ ((z * u) * R(x,z,u))). K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. R(x,y,K(y,z) * u) = u / (T(y,z) * (K(y,z) \ ((x * y) \ u))). x / (T(y,z) * (K(y,z) \ ((u * y) \ x))) = R(u,y,K(y,z) * x). x / (y * ((z * y) \ x)) = R(z,y,K(y,u) * x). R(x,y,K(y,z) * u) = u / (y * ((x * y) \ u)). x != y / (z * ((u * z) \ y)) | x = R(u,z,y). R(x,y,K(y,z) * u) = R(x,y,u). R(x,y,z) = R(x,y,T(z,y)). R(x,y,T(z,y)) = R(x,y,z). R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). x != R(y,K(z,u),T(w,K(z,u))) | x = R(y,T(K(z,u),w),w). R(x,K(y,z),u) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),u). x != R(y,z \ u,T(z,z \ u)) | x = R(y,u / z,z). R(x,y \ z,y) = R(x,z / y,y). R(x,y / z,z) = R(x,z \ y,z). R(x,y,z) * (z * y) = (x * y) * T(z,y). x != R(K(y,(z / (u / w)) \ y),u / w,w) | x = K(y,u / ((y \ z) * w)). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). x != R(K(y,(z / u) / w),z / u,u) | x = K(y,z / (w * u)). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). (x * T(y,z)) / (y * z) = R(x / z,z,y). (x * R(y,z,y)) / (x * y) = R(R(y,z,y) / y,y,x). R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). R(a(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). (T(x,y) * z) \ (T(x,y) * (z * u)) = L(L(u,z,x),x * z,K(x,y)). L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. L(x,y,T(z,z * y)) = L(x,y,z). x != L(L(y,z,u),w,K(v5,y)) | x = L(y,z,u). L(x,y,T(z,x)) = L(x,y,z). x != L(L(y,z,u),w,K(y,v5)) | x = L(y,z,u). L(x,y,T(x,z)) = L(x,y,x). L(L(x,1 / y,L(z,y,y)),z / y,K(L(z,y,y),u)) = L(x,1 / y,T(L(z,y,y),u)). L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). L(x,y,T(z,y) \ 1) = L(x,y,z \ 1). L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). L(x,y,y \ z) = L(x,y,(y / z) \ 1). L(x,y,(y / z) \ 1) = L(x,y,y \ z). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). L(x,y,z * (y \ 1)) = L(x,y,y \ z). L(x,y * z,y \ 1) = L(x,y,y \ z). L(x,y,z / (y * y)) = L(x,y,y \ (z / y)). K(x,L(y,x,x \ z)) = K(x,y). K(x,L(y,x,z)) = K(x,y). K(L(x,y,z),y) = K(x,y). K(x,y \ (x \ (y * z))) = K(x,x \ z). L(K(x,x \ y),y,z) = K(x,x \ y). T(x,L(y,x,z)) = x * K(x,y). K((x / y) \ (z \ x),z) = K(z \ y,z). K((x * y) \ z,y) = K(y \ (x \ z),y). K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). T(x,L(y,x,z)) = T(x,y). x != T(y,L(y \ z,y,u)) | x = T(y,u \ (y \ (u * z))). T(x,x \ y) = T(x,z \ (x \ (z * y))). T(x,y \ (x \ (y * z))) = T(x,x \ z). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). K(x,y \ (x \ z)) = K(x,x \ (y \ z)). K(x,y \ z) = K(x,x \ (y \ (x * z))). K(x,x \ (y \ (x * z))) = K(x,y \ z). K(x \ (y \ z),y) = K(y \ (x \ z),y). K((x * y) \ z,x) = K(x \ (y \ z),x). K(x \ ((x \ y) \ z),x) = K(y \ z,x). K((x \ y) \ z,L(x,u,w)) = K(L(x,u,w) \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). L(x,y,z / (y * y)) != u | L(x,z,y \ 1) = u. x != L(K(y,z),T(z,u) * w,v5) | x = K(y,L(z,w,v5)). K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. K((x * (y \ z)) / x,L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). K(L(x,y,z),L(y,u,w)) != v5 | K(x,L(y,u,w)) = v5. a(x,y,x) = a(T(x,z),y,T(x,z)). a(T(x,y),z,T(x,y)) = a(x,z,x). x != K(y / z,L(z,u,w)) | x = K(z \ y,L(z,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). ((x * y) * T(z,u)) / (y * T(z,u)) = R(R(x,y,z),y * z,K(z,u)). R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). x != R(y,K(z,u) * w,K(w,K(z,v5))) | x = y. R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). x != R(R(y,z,u),w,K(y,v5)) | x = R(y,z,u). R(x,y,T(x,z)) = R(x,y,x). R(x,y,(x \ z) \ z) = R(x,y,x). R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). T(x / (y * (z \ (y / z))),y / z) = ((1 / x) * (y * (z \ 1))) \ (z / y). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). x != y * T(T(y,z \ 1),z \ 1) | x = ((z * y) * y) / z. ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = ((x * y) * y) / x. ((1 / x) \ y) * (x \ T(y,x \ 1)) = ((x * y) * y) / x. T(((x * y) * y) / x,x) = (1 / x) * ((x * y) * y). x \ ((x * y) * y) = (1 / x) * ((x * y) * y). (1 / x) * ((x * y) * y) = x \ ((x * y) * y). x != (1 / (y * z)) * (((y * z) * z) * z) | x = (1 / (y / z)) * (y * z). (x * y) \ (((x * y) * y) * y) = (1 / (x / y)) * (x * y). x != (y * z) \ (((y * z) * u) * z) | x = (y / u) \ (y * z). (1 / (x / y)) * (x * y) = (x / y) \ (x * y). x != (1 / (y / z)) * (y * z) | x = (y \ ((y / ((1 / y) / (1 / (y * z)))) / z)) \ 1. (x / y) \ (x * y) = (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1. (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (x / y) \ (x * y). (x \ ((x / (1 / ((1 / (x * y)) * x))) / y)) \ 1 = (x / y) \ (x * y). (x \ ((x / (1 / (1 / y))) / y)) \ 1 = (x / y) \ (x * y). (x \ (((1 / x) \ (y \ 1)) / y)) \ 1 = (x / y) \ (x * y). (x \ ((y * (1 / x)) \ (1 / y))) \ 1 = (x / y) \ (x * y). (x \ ((x * (y \ 1)) * (y \ 1))) \ 1 = (x / y) \ (x * y). ((x \ 1) * L(x \ 1,y,y)) \ 1 = (y / x) \ (y * x). ((x \ 1) * ((y * x) \ y)) \ 1 = (y / x) \ (y * x). (x \ (y \ (y / x))) \ 1 = (y / x) \ (y * x). (x \ (x / y)) \ y = (x / y) \ (x * y). x != (y \ (y / z)) \ z | x = ((z \ 1) \ y) * (y \ z). (x / y) \ (x * y) = ((y \ 1) \ x) * (x \ y). ((x \ 1) \ y) * (y \ x) = (y / x) \ (y * x). x != (y \ (y / z)) \ z | x = (y * ((z \ y) \ 1)) * z. (x / y) \ (x * y) = (x * ((y \ x) \ 1)) * y. (x * ((y \ x) \ 1)) * y = (x / y) \ (x * y). R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). (K(x,y) * ((K(y,x) * z) / u)) * u != w | L(z,K(y,x),u * K(x,y)) = w. (1 / x) * ((1 / x) * (1 * K(x,(x * y) \ 1))) = 1 / (T(x,y) / (1 / x)). K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. x != (K(y,z) * K(u,w)) \ 1 | x = K(w,u) * K(z,y). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. x * (T(y / (y / z),u) \ z) = (x / T(y / (y / z),u)) * z. (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). L(x,y,x) * R(K(x,z),u,w) = L(x * R(K(x,z),u,w),y,x). L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). R(K(x,y),z,u) * L(x,w,x) = L(x * R(K(x,y),z,u),w,x). L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). x != (y * K(z,u)) * R(K(u,w),v5,v6) | x = y * (R(K(u,w),v5,v6) * K(z,u)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). x != K(L(L(y,z,u),w,v5),u) | x = K(L(y,w,v5),u). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). x \ ((L(y,z,u) * (y \ x)) * y) = K(y \ x,y) * L(T(y,y \ x),z,u). K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). K(x,y) * (K(y,x \ y) * z) = (x \ y) * (T(x \ T(y,x),y) \ z). (x \ y) * (T(x \ T(y,x),y) \ z) = K(x,y) * (K(y,x \ y) * z). (x \ y) * (T(x \ T(y,x),y) \ z) = K(x,y) * (K(x,y) * z). x != K(y,z) * (K(y,z) * u) | x = z * (T(T(z,y),y) \ u). (x \ y) * (T(x \ T(y,x),y) \ z) = y * (T(T(y,x),x) \ z). (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). T(K(x,y),z) * T(K(y,u),z) = z \ (K(y,u) * (K(x,y) * z)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). (x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x). L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). L(x,y,z) = L(x,T(y,x),z). L(x,T(y,x),z) = L(x,y,z). L(x,x \ y,z) = L(x,y / x,z). L(x,y / x,z) = L(x,x \ y,z). x != L(y,(z \ u) / y,z) | x = (z * ((z \ u) / y)) \ u. L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. x != (y \ (y / z)) \ 1 | x = L(z,y,y). (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = L(z,y \ x,y \ x). (x / y) \ ((1 / (x / y)) \ z) = L(z,y \ x,y \ x). L(x,y / z,y / z) = L(x,z \ y,z \ y). L(x,y,y) = L(x,y \ 1,y \ 1). L(x,y \ 1,y \ 1) = L(x,y,y). x != L(y,z / u,z / u) | x = R(y,u / z,z * (u \ 1)). L(x,y \ z,y \ z) = R(x,y / z,z * (y \ 1)). R(x,y / z,z * (y \ 1)) = L(x,y \ z,y \ z). x != L(y,z / u,z / u) | x = (z / u) * ((u * (z \ 1)) * y). L(x,y \ z,y \ z) = (z / y) * ((y * (z \ 1)) * x). (x / y) * ((y * (x \ 1)) * z) = L(z,y \ x,y \ x). L(x,y \ 1,y \ 1) != z | L(x,y,y) = z. (x * (y \ 1)) * L(z,x \ y,x \ y) = (y / x) \ z. (x / y) * L(z,x \ y,x \ y) = (1 / (x / y)) \ z. (x \ y) * L(L(L(y,x,x),x,x),z,u) = (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)). (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)) = (x \ y) * L(L(L(y,x,x),x,x),z,u). ((x \ y) \ 1) * L(L((x \ 1) \ 1,y,y),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). L(x,y \ (z \ 1),(z * y) \ 1) != u | L(x,z * y,z * y) = u. (x * (y / z)) * (z * (y \ 1)) = L(x,y \ z,y \ z). (x * (y \ 1)) \ ((y / x) \ z) = L(z,x \ y,x \ y). L(x,y / (1 / (z / u)),y / (1 / (z / u))) = L(x,(z / u) * L(y,z \ u,z \ u),(1 / (z / u)) \ y). L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u / (1 / (y / z)),u / (1 / (y / z))). (x * ((y / z) / u)) * (u * (z * (y \ 1))) = L(x,(y / z) \ u,(y / z) \ u). (x * ((y / z) / u)) * ((y \ ((y * u) * z)) * (y \ 1)) = L(x,y \ (y \ ((y * u) * z)),y \ (y \ ((y * u) * z))). L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * ((y \ ((y * z) * u)) * (y \ 1)). (x * (y \ 1)) * L(z,y \ x,y \ x) = (y / x) \ z. (x * (y * (z \ 1))) \ (((z / y) / x) \ u) = L(u,x \ (z / y),x \ (z / y)). (x * ((1 / y) \ 1)) \ ((1 / (x * y)) \ z) = L(z,x \ (1 / y),x \ (1 / y)). (x * (((y \ 1) \ 1) \ 1)) \ ((((y \ 1) \ 1) / x) \ z) = L(z,x * ((1 / x) * ((y \ x) \ 1)),x \ ((y \ 1) \ 1)). L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (((z \ 1) \ 1) \ 1)) \ ((((z \ 1) \ 1) / y) \ x). ((x * (y \ z)) * (K(z,y) \ 1)) \ (((y / z) / x) \ u) = L(u,(x * (y \ z)) \ K(z,y),(x * (y \ z)) \ K(z,y)). L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = ((y * (z \ u)) * (K(u,z) \ 1)) \ (((z / u) / y) \ x). (x * (y \ 1)) * z != (y / x) \ u | z = L(u,x \ y,x \ y). L(x,y \ z,y \ z) = L(x,z \ y,z \ y). L(x,y \ (z \ 1),y \ (z \ 1)) != u | L(x,z * y,z * y) = u. L(x,(y \ z) \ (z \ 1),(z \ y) * (1 / z)) != u | L(x,z * (y \ z),z * (y \ z)) = u. L(x,y * z,y * z) = L(x,(y \ 1) \ z,(y \ 1) \ z). L(x,(y \ 1) \ z,(y \ 1) \ z) = L(x,y * z,y * z). L(x,y * z,y * z) = L(x,z \ (y \ 1),z \ (y \ 1)). L(x,y \ (z \ 1),y \ (z \ 1)) = L(x,z * y,z * y). L(x,(y \ 1) \ z,(y \ 1) \ z) != u | L(x,y * z,y * z) = u. (((x \ 1) \ y) * z) \ ((x \ 1) \ y) = L(z \ 1,x * y,x * y). x != L(y,z * u,z * u) | x = (y * (z * u)) * (u \ (z \ 1)). L(x,y \ (z \ 1),y \ (z \ 1)) = (x * (z * y)) * (y \ (z \ 1)). L(x,y \ (z \ (u \ 1)),y \ ((u * z) \ 1)) = L(x,(u * z) * y,(u * z) * y). L(x,y \ K(z,u),y \ (K(u,z) \ 1)) = L(x,K(u,z) * y,K(u,z) * y). (((x \ 1) \ y) * z) \ ((x \ 1) \ y) != u | ((x * y) * z) \ (x * y) = u. (x \ (y \ 1)) * z != L(u,x \ (y \ 1),x \ (y \ 1)) | T(u * (y * x),x \ (y \ 1)) = z. T(x * (y * z),z \ (y \ 1)) = ((z \ (y \ 1)) \ 1) * x. T(x * (y * (z \ 1)),z * (y \ 1)) = (((z \ 1) \ (y \ 1)) \ 1) * x. T(x * (y * (z \ 1)),z / y) = (((z \ 1) \ (y \ 1)) \ 1) * x. T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = ((((z \ 1) \ 1) \ (y \ 1)) \ 1) * x. (x / (K(y,z) \ u)) * K(z,y) = K(y,z) * ((K(y,z) \ x) / u). (x / (K(y,z) * u)) * K(y,z) = K(z,y) * ((K(z,y) \ x) / u). (x / (K(y,z) * u)) * K(y,z) = K(z,y) * ((K(y,z) * x) / u). (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). ((((x \ 1) \ 1) / y) * (y / z)) \ 1 = (z / (((1 / y) \ 1) * x)) * y. (((x \ 1) \ (1 / y)) * (y / z)) \ 1 = (z / (((1 / y) \ 1) * x)) * y. (x / y) \ (((z \ 1) \ (1 / x)) \ 1) = (y / (((1 / x) \ 1) * z)) * x. (x / y) \ (x * (((z \ 1) \ 1) \ 1)) = (y / (((1 / x) \ 1) * z)) * x. (x / y) \ (x * (1 / z)) = (y / (((1 / x) \ 1) * z)) * x. (x / (((1 / y) \ 1) * z)) * y = (y / x) \ (y * (1 / z)). (x / (y * z)) * y = (y / x) \ (y * (1 / z)). (x / y) \ (x * (1 / z)) = (y / (x * z)) * x. (x / y) \ (x * z) = (y / (x * (z \ 1))) * x. (x / (y * (z \ 1))) * y = (y / x) \ (y * z). (K(x,y) / z) \ (K(x,y) / u) = (z / (K(x,y) * u)) * K(x,y). L((x / (y * z)) * y,y,y) = (x / y) / (z * (1 / y)). ((1 / x) \ (y / z)) * z = (z / x) \ (z * y). (x / y) / (z * (1 / y)) = (x / (y * z)) / (1 / y). (x / (y * z)) / (1 / y) = (x / y) / (z * (1 / y)). x != (y / z) / (u * (1 / z)) | x = (z * (1 / y)) \ (z / u). (x / (y * z)) / (1 / y) = (y * (1 / x)) \ (y / z). ((x \ 1) \ ((1 / y) \ z)) * (z \ 1) = ((z \ 1) \ 1) * (((z \ x) \ 1) \ y). (((x * y) \ x) \ (z / x)) * x = (x \ 1) * ((y \ (x \ 1)) \ z). x != (((y * z) \ y) \ (u / y)) * y | x = ((y / u) * (z \ 1)) \ y. (x \ 1) * ((y \ (x \ 1)) \ z) = ((x / z) * (y \ 1)) \ x. x != (y \ 1) * ((z \ (y \ 1)) \ (z \ u)) | x = (((y * z) / ((1 / u) * z)) \ y) \ 1. ((x / (y \ z)) * (y \ 1)) \ x = (((x * y) / ((1 / z) * y)) \ x) \ 1. (((x * y) / ((1 / z) * y)) \ x) \ 1 = ((x / (y \ z)) * (y \ 1)) \ x. R(1 / x,y,y \ (z \ 1)) \ 1 = ((z / (y \ x)) * (y \ 1)) \ z. (x / y) \ (((1 / x) \ 1) * (1 / z)) = (y * (1 / x)) / (z / x). (x / y) \ (x * (1 / z)) = (y * (1 / x)) / (z / x). (x * (1 / y)) / (z / y) = (y / x) \ (y * (1 / z)). x != (y / z) \ (y * (1 / u)) | x = (z / (y * u)) * y. (x * (1 / y)) / (z / y) = (x / (y * z)) * y. R(L(x,y,y),1 / y,(1 / y) \ (z \ 1)) = ((y / z) \ (y * (1 / x))) \ z. (x * (1 / y)) / (1 / (y * z)) = (x / (y * (1 / z))) * y. (x * (1 / (1 / y))) / ((z \ 1) / (1 / y)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). (x * (1 / (y \ 1))) / (L(y \ 1,z,u) / (y \ 1)) = (x / (y \ L(1 / y,z,u))) * (y \ 1). (x * (1 / (y \ 1))) / ((z * (1 / (u * z))) / (y \ 1)) = (x / ((((u \ z) * (1 / z)) \ y) \ 1)) * (y \ 1). (x * (1 / ((y \ z) * (1 / z)))) / (u / ((y \ z) * (1 / z))) = (x / ((y \ 1) * (u * K(z,z \ 1)))) * ((y \ z) * (1 / z)). K(x,x \ 1) * (T(y,z) / z) = (x * (1 / (z * x))) * y. x != K(y,z) * (T(u,w) / w) | x = K(y,z) / (u \ w). (x * (1 / (y * x))) * z = K(x,x \ 1) / (z \ y). K(x,x \ 1) / (y \ z) = (x * (1 / (z * x))) * y. (x * (1 / (y * x))) * z = x * (1 / ((z \ y) * x)). x * y != (z * (1 / (u * z))) * w | (z * (1 / ((w \ u) * z))) / y = x. (x * (1 / (((y * y) \ z) * x))) / y = (1 / (x * (1 / (z * x)))) \ y. x * y != (z * u) * (1 / (w * (z * u))) | x \ (K(z * u,u \ (z \ 1)) / w) = y. x \ (K(x * (1 / (y * x)),(1 / (y * x)) \ (x \ 1)) / z) = 1 / (((1 / (z * (x * (1 / (y * x))))) \ y) * x). x * y != (z * (1 / (u * z))) * w | x \ (z * (1 / ((w \ u) * z))) = y. ((1 / (x * y)) \ (y \ 1)) \ (y * (1 / (((1 / (z * (y * (1 / (x * y))))) \ x) * y))) = (y * (1 / (x * y))) / z. (x * (((x \ y) \ 1) \ 1)) * z = x * (1 / ((z \ (1 / y)) * x)). (x * (1 / (K(y \ z,z \ y) * (u * x)))) * w = x * (1 / ((w \ (K(y \ z,z \ y) * u)) * x)). x != (y * (((y \ (z \ u)) \ 1) \ 1)) * (((1 / u) * z) * (y \ 1)) | x = ((z / y) \ ((1 / u) \ y)) \ ((y \ 1) \ (z \ u)). x * (1 / (((((1 / y) * z) * (x \ 1)) \ (1 / (z \ y))) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). (x * (((x \ y) \ 1) \ 1)) * z != u * w | u \ (x * (1 / ((z \ (1 / y)) * x))) = w. (x * (1 / (((y * y) \ z) * x))) / y = (((z * x) \ 1) \ (1 / x)) \ y. (x * (1 / (((y * y) \ z) * x))) / y = ((x \ (z \ 1)) \ (1 / x)) \ y. (x * (1 / (((y * y) \ z) * x))) / y = (((z \ 1) \ x) * (1 / x)) \ y. (x * (1 / (((y * y) \ z) * x))) / y = (x * (((x \ z) \ 1) \ 1)) \ y. ((1 / x) \ K(y \ z,z \ y)) \ u = (x \ u) * K(y \ z,z \ y). (x * K(y \ z,z \ y)) \ u = (x \ u) * K(y \ z,z \ y). x / ((y \ (z \ 1)) * K(u \ w,w \ u)) = (1 / x) \ (z * (y * K(u \ w,w \ u))). (1 / T(x,(y \ (z \ 1)) * K(u \ w,w \ u))) \ (z * (y * K(u \ w,w \ u))) = (z * (y * K(u \ w,w \ u))) * x. ((1 / T(x,y \ (z \ 1))) * K(u \ w,w \ u)) \ (z * y) = ((z * y) * x) * K(u \ w,w \ u). (x \ y) * (T(x \ T(y,x),y) \ z) = (y / x) * (T(x \ y,x) \ z). x != (y \ z) * (T(y \ T(z,y),z) \ u) | x = z * (T(T(z,y),y) \ u). (x / y) * (T(y \ x,y) \ z) = x * (T(T(x,y),y) \ z). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). x != y \ (z * T(z,u)) | x = (y \ z) * T(z,u). x / ((y * T((1 / z) * y,u)) \ z) = ((1 / x) \ (z \ y)) * T(z \ y,u). T(x,((K(y,z) / u) / (u \ K(y,z))) * w) = T(x,K(K(z,y),u) * w). T(x,K(y,y \ K(z,u)) * w) = T(x,K(K(u,z),y) * w). x != (y * (1 / (z * y))) \ ((((z \ y) \ 1) \ 1) * u) | x = ((z \ 1) \ 1) / (u \ ((z \ y) \ 1)). (1 / x) \ (((((x \ y) \ 1) \ y) * (1 / y)) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). (x \ K(y,z)) * ((T(z,y) \ 1) \ (u / (T(z,y) \ u))) = (x \ z) * (w / (T(z,y) \ w)). K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). K(x,(y * z) \ (x \ u)) = K(x,(y * (z * x)) \ u). K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). x != K(y,z \ (y \ u)) | x = K(y,y \ (z \ u)). K(x,(y * z) \ u) = K(x,x \ ((y * (x \ z)) \ u)). K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). K(x,(y * z) \ (x \ u)) = K(x,(y * (x * z)) \ u). K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). L(K(x,(y * z) \ u),w * x,v5) = K(L(x,w,v5),x \ ((y * (x \ z)) \ u)). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (y * u)) \ w) | x = L(K(y,u \ (y \ (z \ w))),z \ w,z). K(x,(y * z) \ (x \ u)) = L(K(x,z \ (x \ (y \ u))),y \ u,y). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. K((x * y) \ (z \ u),z) = K((x * (z * y)) \ u,z). K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). x != K((y * (z * u)) \ (y * ((u * w) * z)),z) | x = K(L(w,z * u,y),z). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). T(x,(y * (x * z)) \ u) = 1 / (x \ K((y * z) \ (x \ u),x)). 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). T(x,(y * z) \ (x \ u)) = T(x,(y * (x * z)) \ u). T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). x != T(y,(z * (y * u)) \ w) | x = T(y,(z * (u * y)) \ w). T(x,(y * z) \ (x \ u)) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). x != L(K(y,z \ (y \ (u \ w))),u \ w,u) | x = K(y,(u * (z / (y \ 1))) \ w). K(x,(y * z) \ (x \ u)) = K(x,(y * (z / (x \ 1))) \ u). K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). x != K(y,(z * (((y \ 1) * u) / (y \ 1))) \ w) | x = K(y,(z * u) \ w). K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). x != ((1 / y) * (z * (u \ 1))) \ (u / z) | x = ((u / z) * y) * (u / z). T(x / (y * (z \ (y / z))),y / z) = ((z / y) * x) * (z / y). x != T(y / (z * (u \ (z / u))),z / u) | x = T(y * (u * (z \ 1)),y) / (z / u). ((x / y) * z) * (x / y) = T(z * (x * (y \ 1)),z) / (y / x). T(x * (y * (z \ 1)),x) / (z / y) = ((y / z) * x) * (y / z). ((x / y) \ z) / (x / y) = ((y / x) * z) * (y / x). (((x / y) \ 1) * z) / (x / y) = ((y / x) * L(z,x / y,x / y)) * (y / x). ((x / y) * L(z,y / x,y / x)) * (x / y) = (((y / x) \ 1) * z) / (y / x). (1 / x) * ((1 / x) * (1 * K(x,y \ (x \ 1)))) = 1 / (T(x,y) / (1 / x)). L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). x != K(y,z) * L(T(u,y),w,v5) | x = T(K(y,z) * L(u,w,v5),y). x \ ((L(y,z,u) * (y \ x)) * y) = T(K(y \ x,y) * L(y,z,u),y \ x). T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). L(x,y \ K(z,u),y \ K(z,u)) = L(x,K(u,z) * y,K(u,z) * y). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). x != (y \ (z \ u)) * (u \ 1) | x = u * ((y * u) \ (z \ 1)). ((x \ 1) \ 1) * (((x \ y) \ 1) \ z) = x * (((y \ 1) * x) \ ((1 / z) \ 1)). ((x / y) \ (x * (1 / z))) \ y = R(L(z,x,x),1 / x,(x \ 1) \ (1 / y)). R(L(x,y,y),1 / y,(y \ 1) \ (1 / z)) = ((y / z) \ (y * (1 / x))) \ z. x != ((1 / y) \ z) * T(z,u) | x = y * (z * T(z,u)). x / ((y * T((1 / z) * y,u)) \ z) = x * ((z \ y) * T(z \ y,u)). x / ((T(y / z,u) * y) \ z) = x * ((z \ y) * T(z \ y,u)). (1 / x) * ((1 / x) * K(x,y \ (x \ 1))) = 1 / (T(x,y) / (1 / x)). (1 / x) * (T(x,y) \ 1) = 1 / (T(x,y) / (1 / x)). 1 / (T(x,y) / (1 / x)) = (1 / x) * (T(x,y) \ 1). x != 1 / (T(y,z) / (1 / y)) | x = y \ (T(y,z) \ 1). (1 / x) * (T(x,y) \ 1) = x \ (T(x,y) \ 1). x != (1 / y) * (T(y,z) \ 1) | x = (T(y,z) \ 1) * (1 / y). x \ (T(x,y) \ 1) = (T(x,y) \ 1) * (1 / x). (T(x,y) \ 1) * (1 / x) = x \ (T(x,y) \ 1). x != (T(y,z) \ 1) * (1 / y) | x = ((T(y,z) \ 1) \ 1) \ (1 / y). x \ (T(x,y) \ 1) = ((T(x,y) \ 1) \ 1) \ (1 / x). ((T(x,y) \ 1) \ 1) \ (1 / x) = x \ (T(x,y) \ 1). 1 / (x * T(x,y)) = x \ (T(x,y) \ 1). (x * (y * T(y,z))) * (y \ (T(y,z) \ 1)) = (y * T(y,z)) * ((1 / (y * T(y,z))) * x). x != T(K(y \ z,y) * u,y \ z) | x = (z / y) \ (u * (y \ z)). x \ ((L(y,z,u) * (y \ x)) * y) = (x / y) \ (L(y,z,u) * (y \ x)). (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). ((x \ 1) \ 1) * (((x \ y) \ 1) \ z) = x * (((y \ 1) * x) \ z). x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). x * y != z * (K(u,w) * L(T(u,z),v5,v6)) | T(x,y) = y \ (L(u,v5,v6) * (z * K(u,w))). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(L(T(y,x),u,w),K(y,z),x) \ (L(y,u,w) * (x * K(y,z))). L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). R(x,T(K(y,z),u),T(K(z,y),u)) = (x * T(K(y,z),u)) * T(K(z,y),u). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). x * (y * a(z,u,K(y,w))) = (x * y) * a(z,u,K(y,w)). (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). (x * (y * a(z,u,K(y,w)))) * v5 != (x * y) * a(z,u,K(y,w)) | 1 = v5. 1 = a(x,y,a(z,u,K(y,w))). a(x,y,a(z,u,K(y,w))) = 1. a(x,T(y,z),a(u,w,K(y,v5))) = 1. T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). x != T(y * K(z,y),T(u,T(y,w))) | x = T(y * K(z,y),u). R(x,T(y,T(x,z)),R(x,u,w)) = T(x * K(y * R(x,u,w),x),y). T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). x != L(y,z,u) / L(y * K(w,y),z,u) | x = K(L(y,z,u),w). K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). x != R(y,z,u) \ R(y * K(w,y),z,u) | x = K(w,R(y,z,u)). K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). K(x * y,R(x,z,u)) = K(y * x,R(x,z,u)). K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). x != K(y,(z / u) \ 1) | x = K(y,u / z). K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). K(x,((x * y) * z) / ((u * y) * z)) = R(K(x,x / u),x * y,z). R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x). K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). K(x * (y \ z),L(x,u,w)) = K(y \ (z * x),L(x,u,w)). K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). x != K(y \ (z * u),L(u,w,v5)) | x = K((z \ y) \ u,L(u,w,v5)). K(x * (y \ z),L(x,u,w)) = K((z \ y) \ x,L(x,u,w)). K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). K(x \ (y * z),L(y,u,w)) = K((y \ x) \ z,L(y,u,w)). K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). K(x \ (y \ z),L(y,u,w)) = K((x * y) \ z,L(y,u,w)). K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x \ (y \ (x * z)),L(y,u,w)) != v5 | K(y \ z,L(y,u,w)) = v5. (1 / (K(x,y) * z)) \ K(x,y) = T(y * (T(T(y,x),x) \ z),K(y,x)). T(x * (T(T(x,y),y) \ z),K(x,y)) = (1 / (K(y,x) * z)) \ K(y,x). T(x * (T(T(x,y),y) \ z),K(x,y)) = ((1 / z) * K(x,y)) \ K(y,x). x != (y * K(z,u)) \ K(u,z) | x = K(u,z) * (y \ K(u,z)). T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,x) * ((1 / z) \ K(y,x)). T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,x) * (z * K(y,x)). K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). x != ((y / z) * z) / u | x = y / u. R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = T(y,K(x,z)) / y. x != T(y,z) / y | x = K(y,z). R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = K(y,K(x,z)). R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = K(x,K(y,z)). R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). x != R(K(y,K(z,u)),w,v5) | x = K(z,K(u,R(y,w,v5))). K(x,K(y,z)) = K(y,K(z,R(x,y / u,u))). K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). a(K(x,y),z,z \ y) = K(u,K(w,R(v5,v6,v6 \ u))) * K(v5,K(u,w)). a(K(x,y),z,z \ y) = K(u,K(w,R(v5,v6,v6 \ u))) * K(u,K(w,v5)). a(K(x,y),z,z \ x) = K(u,K(w,R(v5,v6,v6 \ u))) * K(u,K(w,v5)). K(x,(y * (z \ x)) \ u) = K(x,(y * (x / z)) \ u). K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). K(x,(y * (x / y)) \ z) = K(x,x \ z). K(x,K(y \ x,y) * z) = K(x,x \ (x * z)). K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). K(x,y) = K(x,K(z \ x,z) * y). K(x,K(y \ x,y) * z) = K(x,z). K(x * y,K(y,x) * z) = K(x * y,z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. (x * y) * (K(y,x) * z) = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). x != y / (y / R(K(z,u),w,v5)) | x = (R(K(z,u),w,v5) \ y) \ y. R(T(K(x,y),z),u,w) = (R(K(x,y),u,w) \ z) \ z. (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). x != K(y,z) \ u | x = K(z,y) * u. L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ (1 / (x \ (y \ (z \ 1))))))). (1 / (x \ 1)) * (((x \ 1) * y) * L(z,x,x)) = (y * x) * (x \ z). x * (((x \ 1) * y) * L(z,x,x)) = (y * x) * (x \ z). T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). L(x,((1 / y) * z) * u,((1 / y) * z) * u) = L(x,(z \ y) \ u,(z \ y) \ u). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | u = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). a(x,(y / z) \ 1,x) = a(x,y \ z,x). a(x,y \ 1,x) = a(x,(y * z) \ z,x). a(x,(y * z) \ z,x) = a(x,y \ 1,x). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,(z * (y * x)) \ ((z * y) * u)),y,z). L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). (x * y) \ ((1 / (x * y)) \ z) = L(z,x \ (1 / y),x \ (1 / y)). L(x,y \ (1 / z),y \ (1 / z)) = (y * z) \ ((1 / (y * z)) \ x). L(x,y \ (1 / z),y \ (1 / z)) != u | L(x,y * z,y * z) = u. L(x,(1 / y) \ z,(1 / y) \ z) != u | L(x,z * y,z * y) = u. x != ((y \ 1) * z) / y | x = y \ (z / y). ((x / y) * L(z,y / x,y / x)) * (x / y) = (y / x) \ (z / (y / x)). ((1 / (x / y)) \ z) * (x / y) = (y / x) \ (z / (y / x)). (x / y) * (z * (x / y)) = (y / x) \ (z / (y / x)). (x / y) \ (z / (x / y)) = (y / x) * (z * (y / x)). x != (y / z) \ (u / (y / z)) | x = ((y / z) \ u) * (z * (y \ 1)). (x / y) * (z * (x / y)) = ((y / x) \ z) * (x * (y \ 1)). ((x / y) \ z) * (y * (x \ 1)) = (y / x) * (z * (y / x)). (1 / (x * y)) \ (z / ((1 / y) / x)) = (x / (1 / y)) * (z * (x / (1 / y))). (1 / (x * y)) \ (z / (1 / (x * y))) = (x / (1 / y)) * (z * (x / (1 / y))). (x * y) * (z * (x * y)) = (x / (1 / y)) * (z * (x / (1 / y))). (x / (1 / y)) * (z * (x / (1 / y))) = (x * y) * (z * (x * y)). x != (y / (1 / z)) * (u * (y / (1 / z))) | x = ((y \ 1) \ z) * (u * ((y \ 1) \ z)). (x * y) * (z * (x * y)) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). ((x \ 1) \ y) * (z * ((x \ 1) \ y)) = (x * y) * (z * (x * y)). x * (y * ((z \ 1) \ ((z \ 1) * x))) = (z * ((z \ 1) * x)) * (y * (z * ((z \ 1) * x))). (x * ((x \ 1) * y)) * (z * (x * ((x \ 1) * y))) = y * (z * ((x \ 1) \ ((x \ 1) * y))). ((((x \ y) \ y) \ 1) \ (1 / y)) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). ((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * (z * ((x \ 1) \ ((1 / x) * ((y \ x) \ 1)))) = (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))). x != L(y,T(z,y),u) | x = L(y,z,u). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). x != L(y,z / T(y,u),y) | x = L(y,y \ z,y). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). (((x \ (1 / y)) * x) * y) * z = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). x != y / (K(z,u) * y) | x = K(u,z). K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). x != K(y,z / (y * u)) | x = K(y,z / (u * y)). K(x,y \ (x \ 1)) = K(x,z / ((y * z) * x)). K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). K(x,y / (z * x)) = K(x,(z / y) \ (x \ 1)). K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). x != K(y,(z / u) \ (y \ 1)) | x = K(y,u / (z * y)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). x != K(y,(z * u) / (u * y)) | x = K(y,R(y \ z,y,u)). K(x,y / ((z \ y) * x)) = K(x,R(x \ z,x,y / z)). K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ ((1 / 1) \ ((z * y) * x))))). L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). x * (y * (z * ((y \ 1) / z))) = (x * y) * (z * (((x * y) \ x) / z)). (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). (x * K(y,z \ (y \ 1))) \ x = K((u * z) \ (y \ u),y). K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). K(x \ (y \ z),y) = K((z \ x) \ (y \ 1),y). K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). T(x,(y \ z) \ (x \ 1)) = 1 / (x \ K(z \ (x \ y),x)). 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). T(x,y \ (x \ z)) = T(x,(z \ y) \ (x \ 1)). T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). x != T(y,z \ (y \ u)) | x = T(y,(y * z) \ u). T(x,y \ (x \ z)) = T(x,(x * (z \ y)) \ 1). T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). x != T(y,z \ 1) | x = T(y,L(z,y \ 1,u) \ 1). T(x,y \ (x \ z)) = T(x,L(x * (z \ y),x \ 1,u) \ 1). T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ (1 \ ((z * y) * x))))). R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ ((z * y) * x)))). R(x,x \ (y \ (z \ 1)),z) = y \ (z \ ((z * y) * x)). L(R(x,x \ (y \ (z \ 1)),z),y,z) = x. L(T(x,x \ y),z,u) = T(L(x,z,u),L(x,z,u) \ y). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). x != K((y * z) / (y * (u \ z)),w) | x = (y * z) / (y * (K(w,u) * z)). K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). x != K((y * z) / (y * (u \ z)),w) | x = (y * (K(u,w) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,x) * u),w). R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). K(x,y) * (R(y,z,u) * w) = R(y,z,u) * (K(x,y) * w). R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). x != R(K(y,z),u * (z * K(w,y)),v5) | x = K(y,R(z * K(w,y),u,v5)). R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). x != R(K(y,z),u * z,w) | x = K(y,R(z,u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). x != K(y,R(z * K(u,y),w,v5)) | x = R(K(y,z),(z * K(u,y)) * w,v5). K(x,R(y,z,u)) = R(K(x,y),(y * K(w,x)) * z,u). R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). x != R(K(y,z),(z * K(u,y)) * w,v5) | x = K(y,R(R(z,K(u,y),w),K(u,y) * w,v5)). K(x,R(y,z,u)) = K(x,R(R(y,K(w,x),z),K(w,x) * z,u)). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). x != K(y,R(R(z,K(u,y),w),v5,v6)) | x = K(y,R(z,v5,v6)). K(x,R(y,z,u)) = K(x,R(y,K(w,x) * z,u)). K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). x != K(y,R(z,u,w)) | x = K(y,R(z * K(v5,y),u,w)). K(x,R(y,K(z,x) * u,w)) = K(x,R(y * K(v5,x),u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(v5,x) * u,w)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(v5,y) * u,w),y). K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. x != K(y,R(z * K(u,y),w,v5)) | x = K(y,R(K(u,y) * z,w,v5)). K(x,R(y,K(z,x) * u,w)) = K(x,R(K(v5,x) * y,u,w)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(v5,x) * u,w)). K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(v5,x) * u,w)). T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(v5,x) * u,w)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(v5,x) * u,w)). T(x,R(x \ y,z,u)) = T(x,R(T(x,w) \ y,z,u)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). R(x,y,x) * (T(x,z) \ u) = K(z,x) * ((u / x) * R(x,y,x)). K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). K(x \ y,z \ y) * (y / x) = T(T(T(y,x \ y) / x,y),y / z). T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). x != K(y \ z,u) * (z / y) | x = T(z / y,T(u,y)). T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). T(x / y,x / z) = T(x / y,T(z \ x,y)). T(x / y,T(z \ x,y)) = T(x / y,x / z). T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). x != T(y,y \ z) \ R(T(u,u \ w),v5,v6) | x = ((y \ z) \ z) \ R((u \ w) \ w,v5,v6). x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = ((x \ y) \ y) \ R((x \ y) \ y,z,u). ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). K(x,y) * (L(K(y,x),z,u) * w) = (K(x,y) * L(K(x,y) \ 1,z,u)) * w. (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w). K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. x != K(y,z) * (L(K(u,y),w,v5) * v6) | x = L(K(u,y),w,v5) * (K(y,z) * v6). a(x,y,K(z,u)) * w = L(K(u,z),y,x) * (K(z,u) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z). a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. x * y != K(z,u) * (K(u,z) * w) | x \ w = y. a(x,y,K(z,u)) \ w = L(K(z,u),y,x) * (K(u,z) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. x != L(K(y,z),u,w) * (K(z,y) * v5) | x = a(w,u,K(z,y)) * v5. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). a(x,y,K(z,u)) \ w != v5 * w | a(x,y,K(u,z)) = v5. x / (a(y,z,K(u,w)) * x) != v5 | v5 = a(y,z,K(w,u)). x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. a(x,y,K(z,u)) = (T(w,w \ v5) * a(x,y,K(u,z))) \ ((w \ v5) \ v5). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). x / a(y,z,K(u,w)) != v5 | v5 = x * a(y,z,K(w,u)). x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. K(x,y) * (R(K(y,x),z,u) * w) = (K(x,y) * R(K(x,y) \ 1,z,u)) * w. (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). x != L(y * K(z,y),u,w) \ L(y,u,w) | x = K(L(y,u,w),z). K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). x != K(y,K(z,u \ 1) / u) | x = K(T(y,z),u \ 1). K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). x != K(T(y,(z / u) \ 1),z) | x = K(T(y,z \ u),z). K(T(x,y),z \ 1) = K(T(x,(z \ 1) \ (z \ y)),z \ 1). K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). L(K(x,y),z,u) * T(w,K(x,v5)) = T(L(K(x,y),z,u) * w,K(x,v5)). T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). x != y * T(T(z,y),u) | x = T(z,u) * y. T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). x != L(K(y,z),T(z,u),w) | x = K(y,z). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). x != T(y,(((z \ 1) \ 1) \ u) \ w) | x = T(y,(z \ u) \ w). T(x,y / (((z \ 1) \ 1) \ u)) = T(T(x,K(y,z \ u)),(z \ u) \ y). T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). x != T(T(y,K(z,u)),u \ z) | x = T(y,z / u). T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). K(x \ T(y * x,z),u) = K((x \ 1) * T(y / (x \ 1),z),u). K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. x != K(y,z) * ((z * R(y,u,w)) * y) | x = (y * z) * R(y,u,w). (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). x != ((y * z) / y) / ((y * (z * K(u,z))) / y) | x = K(z,T(u,y)). K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). K(x,T(y / z,u)) = K(x,T((y * K(w,x)) / z,u)). K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). K(x \ y,x) * (y * (x \ (y / x))) = ((1 / x) * y) * (y * (x \ 1)). x != K(y \ z,y) * (z * (y \ (z / y))) | x = (z / y) * (y \ z). ((1 / x) * y) * (y * (x \ 1)) = (y / x) * (x \ y). x != (y / z) * (z \ y) | x = (z \ y) * (y / z). ((1 / x) * y) * (y * (x \ 1)) = (x \ y) * (y / x). x != (y * z) * T((y * z) \ (u * z),w) | x = (y * T(y \ u,w)) * z. K(x,y) * (K(z,x) * u) = ((1 / z) * T((1 / z) \ K(x,y),x)) * u. ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). L(x,K(y,z),K(z,u)) = x. (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). a(x,y,x) * z = K(x,y) * (K(x * y,x) * z). K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. x != T(y / (y / z),z \ y) | x = z. L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. x != L(K(y,z) * (K(u,w) * v5),K(z,y),K(w,u)) | x = (K(w,u) * K(z,y)) \ v5. K(x,y) * (K(z,x) * u) = (K(x,z) * K(y,x)) \ u. (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). L(x,K(y,z),K(y,u)) = x. L(x,K(y,T(z,u)),K(z,w)) = x. L(x,K(y,z),K(u,K(z,w))) = x. K(x,y) * (K(z,y) * u) = (K(y,z) * K(y,x)) \ u. (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). L(x,K(y,z),K(u,y)) = x. K(x,y) * (K(y,z) * u) = (K(z,y) * K(y,x)) \ u. (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). x != L(y * K(z * u,y),u,z) | x = (z * (u * y)) / (z * u). x * K(K(y,z) * K(z,u),x) = (K(y,z) * (K(z,u) * x)) / (K(y,z) * K(z,u)). (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). a(x,y,x) * z = K(x * y,x) * (K(x,y) * z). K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. K(x,y) * z = a(x,y,x) * (K(x,x * y) * z). a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). x * a(y,z,y) = a(y,z,y) * x. a(x,y,x) * z = z * a(x,y,x). T(x,a(y,z,y)) = x. K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. x * y != K(z * u,z) * (K(z,u) * x) | T(a(z,u,z),x) = y. T(a(x,y,x),z) = a(x,y,x). K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. (a(x,y,x) \ z) * a(x,y,x) = z. a(x,y,x) \ z = z / a(x,y,x). x / a(y,z,y) = a(y,z,y) \ x. K(x,a(y,z,y)) = 1. x / a(y,z,y) != u | a(y,z,y) \ x = u. x * K(y,a(z,u,z)) = x. x != T(y,a(z,u,z)) | x = y. T(x,a(y,z,y)) != u | u = x. R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). x * a(y,z,y) != u * x | u = a(y,z,y). x * a(y,z,y) != u * x | a(y,z,y) = u. x * a(y,z,y) = (a(y,z,y) \ 1) \ x. (a(x,y,x) \ 1) \ z = z * a(x,y,x). x != R(y,z,u) * a(w,R(y,z,u),w) | x = R(y * a(w,y,w),z,u). a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). x * y != z * a(u,w,u) | x \ (a(u,w,u) * z) = y. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). L(x \ (a(y,z,y) \ u),x,a(y,z,y)) = (x * a(y,z,y)) \ u. (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. K(x,x * y) * z = K(x,y) * (a(x,y,x) \ z). K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. (x / y) \ (a(y,z,y) \ x) = L(y,z,y). x != y * a(z,u,z) | x = a(z,u,z) * y. (a(x,y,x) \ 1) \ z = a(x,y,x) * z. (x \ 1) * a(y,z,y) = x \ a(y,z,y). a(x,y,x) \ z = (a(x,y,x) \ 1) * z. (a(x,y,x) \ 1) * z = a(x,y,x) \ z. T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). (x \ 1) * y != x \ (z / x) | y = z * (x \ 1). x / a(y,z,y) = x * (a(y,z,y) \ 1). x * (a(y,z,y) \ 1) = x / a(y,z,y). L(x,y,x) * z != u / a(x,y,x) | z = x \ u. a(x,y,x) \ 1 = x \ L(x,y,x). x * (y \ L(y,z,y)) = x / a(y,z,y). x != y / a(z,u,z) | x = a(z,u,z) \ y. x * (y \ L(y,z,y)) = a(y,z,y) \ x. x != y * (z \ L(z,u,z)) | x = (y / R(z,u,z)) * z. a(x,y,x) \ z = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = a(y,z,y) \ x. (a(x,y,x) * (z * x)) / R(x,y,x) = z. x * R(y,z,y) = a(y,z,y) * (x * y). a(x,y,x) * (z * x) = z * R(x,y,x). (x * R(y,z,y)) / (x * y) = a(y,z,y). x != a(y,z,y) * u | x = u * a(y,z,y). x * R(y,z,y) = (x * y) * a(y,z,y). (x * y) * a(y,z,y) = x * R(y,z,y). x * y != a(z,u,z) * (w * z) | x \ (w * R(z,u,z)) = y. (x * y) \ (x * R(y,z,y)) = a(y,z,y). x != (y * R(z,u,z)) / (y * z) | x = R(a(z,u,z),z,y). a(x,y,x) = R(a(x,y,x),x,z). R(a(x,y,x),x,z) = a(x,y,x). a(x,y,x) * (z * x) != u | u = z * R(x,y,x). a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. x != R(y,R(z,u,w),u * w) | x = ((y * R(z,u,w)) * (u * w)) / ((z * u) * w). a(R(x,y,z),u,R(x,y,z)) = ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z). ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). x * a(y,z,y) = (x / y) * R(y,z,y). (x / y) * R(y,z,y) = x * a(y,z,y). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x != (y / z) * R(z,u,z) | x = R(z,u,z) * (z \ y). x * a(y,z,y) = R(y,z,y) * (y \ x). R(x,y,x) * (x \ z) = z * a(x,y,x). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). R(x,y,x) * z = (x * z) * a(x,y,x). (x * y) * a(x,z,x) = R(x,z,x) * y. x * (y * a(x,z,x)) = R(x,z,x) * y. R(x,y,x) * z = a(x,y,x) * (x * z). a(x,y,x) * (x * z) = R(x,y,x) * z. (x * y) \ (R(x,z,x) * y) != u | u = a(x,z,x). (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. x * y != z * (u * a(z,w,z)) | x \ (R(z,w,z) * u) = y. (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. K(x,y) * z != K(x,x * y) * u | a(x,y,x) * z = u. K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). a(x,y,x) = L(a(x,y,x),z,x). L(a(x,y,x),z,x) = a(x,y,x). x != a(y,z,y) | x = (u * y) \ (u * R(y,z,y)). L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). x * y != K(z,u) * (K(w,z) * (K(u,z) * v5)) | (K(w,z) * v5) / y = x. (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). x != (K(y,z) * K(y,u)) \ K(y,y \ 1) | x = ((y \ K(y,z)) * T(y,u)) \ 1. K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. x != K(y,z) * (K(z,u) * w) | x = (K(z,u) * K(y,z)) * w. (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. R(K(x,y),K(y,z),u) = K(x,y). x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x. (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. K(x,y) * R(R(K(x,y),K(y,z),u) \ 1,w,v5) = R(K(x,y) * R(K(x,y) \ 1,w,v5),K(y,z),u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). R(K(x,y),K(z,y),u) = K(x,y). T(x,R(a(y,z,y),u,w)) = x. (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). x * y != (K(z,u) * K(u,w)) \ x | T(K(u,z) * K(w,u),x) = y. T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u) \ 1. T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). (x \ T(x * (y \ 1),x)) * R(T(y \ a(x,y \ 1,x),x) \ 1,z,u) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). x != L(T(y,z),u,T(y,w)) | x = L(T(y,z),u,y). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). x != L(T(y,z),u,y) | x = L(T(y,z),u,T(y,w)). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,u)). L(T(x,y),z,T(x,u)) = (y * R(x,z,x)) \ ((x * y) * x). x != K(y * z,z) * (y * u) | x = y * (K(y * z,z) * u). a(x,y,x) * (y * z) = y * (K(y * x,x) * (K(x,y) * z)). x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). x * (a(y,x,y) * z) = a(y,x,y) * (x * z). a(x,y,x) * (y * z) = y * (a(x,y,x) * z). a(x,y,x) * z = y * (a(x,y,x) * (y \ z)). x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). x != L(y \ (z \ u),y,z) | x = (z * y) \ u. (x * a(y,z,y)) \ u = (a(y,z,y) * x) \ u. (a(x,y,x) * z) \ u = (z * a(x,y,x)) \ u. x != K(y,z) * ((u / z) * R(z,w,z)) | x = R(z,w,z) * (T(z,y) \ u). x * (L(T(x,y),z,x) \ u) = R(x,z,x) * (T(x,y) \ u). R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). x != (y * z) \ ((T(u * y,u) / u) * z) | x = L(a(u,T(y,z),u),T(y,z),z). R(a(x,y,x),y,z) = L(a(x,T(y,z),x),T(y,z),z). L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). L(a(x,y,x),T(y * K(z,y),z),z) = R(a(x,y * K(z,y),x),y * K(z,y),z). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). K(x,y) * (y * (K(z,y) / y)) = ((y \ K(y,z)) * T(y,x)) \ 1. ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). x != K(y,z) * (z * u) | x = z * (K(y,z) * u). ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). x != y * K(T(z,u),w) | x = y * K(z,T(w,u)). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). T(x,y) * (L(T(x,z),u,x) \ w) = R(T(x,y),u,x) * (T(x,z) \ w). R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = x \ R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. x != y \ R(y,z,R(y,u,w)) | x = K(z * R(y,u,w),y) * K(y,z). a(x,y,R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) \ 1 = R(x,y,R(x,z,u)) \ x. R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. K(x,y) * a(x,z,R(x,u,w)) = x \ R(T(x,y),z,R(x,u,w)). x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,y,R(x,z,u)) * T(K(y,x),w) = K(y * R(x,z,u),x) * K(y,K(x,w)). K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) = ((x \ w) \ w) \ R((x \ w) \ w,y,R(x,z,u)). ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. (x \ (1 / y)) * K(z \ u,u \ z) = x \ ((u * z) * (1 / (y * (u * z)))). x \ ((y * z) * (1 / (u * (y * z)))) = (x \ (1 / u)) * K(z \ y,y \ z). x \ (K(y \ z,z \ y) / u) = (x \ (1 / u)) * K(y \ z,z \ y). (x \ (1 / y)) * K(z \ u,u \ z) = x \ (K(z \ u,u \ z) / y). 1 / ((x \ (y \ z)) * (z \ 1)) = (z * z) * (z \ (((z \ 1) * y) * x)). (x * x) * (x \ (((x \ 1) * y) * z)) = 1 / ((z \ (y \ x)) * (x \ 1)). x != 1 / (y * (z \ 1)) | x = z / y. (x * x) * (x \ (((x \ 1) * y) * z)) = x / (z \ (y \ x)). (x \ 1) \ (((x \ 1) * y) * z) = x / (z \ (y \ x)). L(x / (y \ (z \ x)),x,x) = x * (((x \ 1) * z) * y). (x \ 1) \ ((x \ (y / x)) * z) = x / (z \ ((y * (x \ 1)) \ x)). x / (y \ ((z * (x \ 1)) \ x)) = (x \ 1) \ ((x \ (z / x)) * y). (x * (x / (y \ (z \ x)))) \ x = (((x \ 1) * z) * y) \ (x \ 1). (((x \ 1) * y) * z) \ (x \ 1) = (x * (x / (z \ (y \ x)))) \ x. 1 / (x / (y \ (z \ x))) = (1 / (x \ 1)) * (((x \ 1) / y) / z). (1 / (x \ 1)) * (((x \ 1) / y) / z) = 1 / (x / (y \ (z \ x))). L(x,y,(z \ 1) / (z / (u \ (w \ z)))) = L(x,y,(z \ 1) * ((((z \ 1) * w) * u) \ (z \ 1))). L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,(z \ 1) / (z / (w \ (u \ z)))). 1 / ((x \ (y \ z)) / z) = z * (((z \ 1) * y) * x). x / (y \ (x * (z \ x))) = (x \ 1) \ ((x \ (z / x)) * y). (x \ 1) \ ((x \ (y / x)) * z) = x / (z \ (x * (y \ x))). x != (y * (y / z)) \ y | x = z / y. (((x \ 1) * y) * z) \ (x \ 1) = (z \ (y \ x)) / x. x * (((x \ 1) / y) / z) = 1 / (x / (y \ (z \ x))). 1 / (x / (y \ (z \ x))) = x * (((x \ 1) / y) / z). 1 / (x / (y \ (z \ x))) = x * ((x \ (1 / y)) / z). L(x,y \ (z \ (u \ 1)),y \ (z \ (u \ 1))) = L(x,(u * z) * y,(u * z) * y). T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = (((y \ 1) \ 1) * (1 / (z \ 1))) * x. x != y * T(K(z,u),w) | x * T(K(u,z),w) = y. x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. x != (L(y,z,u) \ w) / (L(T(y,v5),z,u) \ w) | x = K(L(y,z,u),v5). K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). x != a(T(y,z),T(T(z,y),y),R(T(y,z),u,w)) | x = a(R(y,u,w),z,y). a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. x != R(y,z,R(y,u,w)) \ y | x = a(y,z,R(y,u,w)) \ 1. a(R(x,y,z),u,x) \ 1 = a(T(x,u),u,R(T(x,u),y,z)) \ 1. a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = (((y \ 1) \ 1) * z) * x. x != T(y,z \ (1 / u)) | x = T(y,z \ (u \ 1)). (((x \ 1) \ 1) * y) * z = T(z * (x * ((y \ 1) \ 1)),y \ (x \ 1)). T(x * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = (((y \ 1) \ 1) * z) * x. x != y * ((1 / z) * y) | x = (y / z) * y. T(((1 / x) * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = ((((y \ 1) \ 1) * z) / x) * (((y \ 1) \ 1) * z). ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). x != R(K(y,z),u * K(w,y),v5) | x = R(K(y,z),u,v5). K(x,T(((y * K(z,x)) * u) / w,v5)) = R(K(x,T((y * K(z,x)) / (w / u),v5)),y,u). R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). T(x * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). T(T(x,K(y,z)),K(z,u)) \ x = K(K(y,z) * K(z,u),K(y,z) \ x). K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). K(L(K(x,y),z,u),w \ v5) = K(L(K(x,y),z,u),w \ (v5 / x)). K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). x != K(L(K(y,z),u,w),v5) | x = K(z,K(v5,L(y,u,w))). K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). x != K(y,K(z \ (u \ (w \ v5)),L(u,z,w))) | x = K(y,K(u,(w * (z * u)) \ v5)). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). x != K(y,K(z \ (u \ w),L(v5,z,u))) | x = K(v5,K(y,(u * z) \ w)). K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). x != K(y,K(z,(u * (w * y)) \ ((u * y) * w))) | x = K(y,K(z,a(u,y,T(w,y)))). K(x,K(y,(z * u) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). x != K(y,K(z,(u * w) \ ((u * y) * w))) | x = 1. K(x,K(y,a(z,x,T(u,x)))) = 1. K(x,K(y,a(z,x,u))) = 1. a(x,y,z) * 1 = T(a(x,y,z),K(u,y)). T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. T(a(x,y,z),K(u,y)) = a(x,y,z). T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). K(x,y) * a(z,x \ y,u) = a(z,x \ y,u) * K(x,y). a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). R(T(x,x * y),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). K(L(x,y,z) \ u,L(x,y,z)) != w | K(x \ u,L(x,y,z)) = w. R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. K(x * R(y,z,u),y) * K(y,x) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). x != K(y * R(z,u,w),z) * K(z,y) | x = a(z,y,R(z,u,w)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). a(x,R(x,y,z) \ u,R(x,w,v5)) = a(x,u / R(x,y,z),R(x,w,v5)). a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). x != K(y,z / R(y,u,w)) | x = K(y,R(y,u,w) \ z). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). x != R(K(y,T(z / (u / w),v5)),z,w) | x = K(y,T((z * w) / u,v5)). K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). K(x,y \ ((z * K(u,x)) * w)) = K(x,T((z * w) / y,z * w)). K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). K(x,y \ (z * u)) = K(x,y \ ((z * K(w,x)) * u)). K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). K(x,y \ (z * u)) = K(x,y \ ((x * (z / x)) * u)). K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. x != R(y,K(z,u),w * K(u,z)) * w | x = (y * K(z,u)) * (K(u,z) * w). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). x != T(T(y * K(z * R(y,u,w),y),v5),z) | x = R(T(y,v5),z,R(y,u,w)). R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. K((x / y) * z,((x / y) * z) \ 1) = ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z). ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,((x / y) * z) \ 1). x != K(y,(z * u) \ 1) | x = K(y,u \ (z \ 1)). ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,z \ ((x / y) \ 1)). ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,z \ (y * (x \ 1))). (x / y) * ((y \ x) \ (K(y \ x,y) \ z)) = (K(y,y \ x) * K(y,y \ x)) * z. (x / y) * (T(y \ x,y) \ z) = (K(y,y \ x) * K(y,y \ x)) * z. (K(x,x \ y) * K(x,x \ y)) * z = (y / x) * (T(x \ y,x) \ z). ((x / y) * ((y \ x) \ K(y,y \ x))) * z = (x / y) * (T(y \ x,y) \ z). ((x / y) * (T(y \ x,y) \ 1)) * z = (x / y) * (T(y \ x,y) \ z). ((x / y) * T(x \ y,y)) * z = (x / y) * (T(y \ x,y) \ z). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) != w | R(x,y,z) = w. R(R(x,y,(z \ u) \ u),y * T(z,z \ u),K(z \ u,z)) != w | R(x,y,z) = w. R(x,y,(z \ 1) \ 1) != u | R(x,y,z) = u. K(x,y) != z | R(K(x,y),y,u) = z. x != T(y,z) \ T(y * K(u,y),z) | x = K(u,T(y,z)). K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). 1 * (x \ R(T(x,y),z,u)) = K(R(x,z,u),y) * (x \ R(x,z,u)). K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | v5 = a(x,y,R(x,u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. K(x * K(y * K(z,u),w),T(u,y * K(z,u))) = K(y \ (x * T(y * K(z,u),w)),u). x != K(y,L(L(z,u,K(w,y)),v5,v6)) | x = K(y,L(z,v5,v6)). K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). x != K(y,(z * (K(u,y) * w)) \ v5) | x = K(y,(z * w) \ v5). K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | x = K(z,y). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). ((x * (y * T(y,z))) \ K(z,y)) \ 1 = (K(y,z) / (1 / (x * (y * y)))) * K(y,z). (K(x,y) / (1 / (z * (x * x)))) * K(x,y) = ((z * (x * T(x,y))) \ K(y,x)) \ 1. (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = (((x * T(x,y)) \ z) * K(y,x)) \ 1. ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,(x * (y \ x)) \ 1) * z. x != K(T(y * K(z,y),u),w) | x = K(T(y,u),T(w,z)). K((x * K(x * y,x)) * K(x,z),u) = K(T(x,z * K(y * x,z)),T(u,x * y)). K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). x != K(T(y,z),T(u,y * w)) | x = K(T(y,z),T(u,w)). K((x * K(x * y,x)) * K(x,z),u) = K(T(x,z * K(y * x,z)),T(u,y)). K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). x != K(T(y,z * K(u * y,z)),w) | x = K(y * K(T(y,u),z),w). K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). x != K(y * K(T(y,z),u),T(w,z)) | x = K(K(z,y) * T(y,u),w). K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). x != K(K(y,z) * T(z,u),T(w,u)) | x = K(z,T(w,T(y,u))). K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). K(x,T(y,T(z,u))) = K(x,T(y,T(x * z,u))). K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). x != K(y,T(z,T(y * u,w))) | x = K(y,T(z,T(u * y,w))). K(x,T(y,T(z,u))) = K(x,T(y,T(z * x,u))). K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = L(z,x \ y,x \ y). (x * (y \ 1)) * (((x * (y \ 1)) \ 1) * (1 / (z \ 1))) = L(z,x \ y,x \ y). (x * (y \ 1)) * (((y \ 1) \ (x \ 1)) * (1 / (z \ 1))) = L(z,x \ y,x \ y). (x * (y \ 1)) * (((y \ 1) \ (x \ 1)) * z) = L(z,x \ y,x \ y). L(x,y * (z \ 1),y * (z \ 1)) = L(x,y \ z,y \ z). x != ((1 / y) * z) * (z * (y \ 1)) | x = (y \ z) * (z / y). (K(x \ y,x) * (y * (x \ 1))) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). K(x,T(T(T(x,y) * z,u),w)) != v5 | K(x,T(T(z * T(x,y),u),w)) = v5. K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). x != y * (K(z,z \ 1) / u) | x = y * (z * (1 / (u * z))). (((x \ y) * (1 / y)) \ z) * ((1 / u) * w) = ((x \ 1) \ z) * (y * (1 / ((w \ u) * y))). x != K(a(y,z,u),T(y,w)) | x = K(a(y,z,u),y). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). 1 = K(a(x,y,z),x). K(a(x,y,z),x) = 1. T(a(x,y,z),x) = a(x,y,z). x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K(y \ ((y \ z) \ u),L(y,w,v5)) | x = K(z \ u,L(y,w,v5)). K((x \ y) \ z,L(x,u,w)) = K((L(x,u,w) \ y) \ z,L(x,u,w)). K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,L(y,w,v5)) | x = K(z \ (y * u),L(y,w,v5)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K((1 / x) \ y,L(x,z,u)) = K((1 / L(x,z,u)) \ y,L(x,z,u)). K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). x != K((y / z) \ u,L(z,w,v5)) | x = K(y \ (u * z),L(z,w,v5)). K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). x != K((y \ z) * L(u,w,v5),L(u,w,v5)) | x = K(y \ (u * z),L(u,w,v5)). K((x \ y) * z,L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). x != K(y \ (z * u),L(z,w,v5)) | x = K((z \ y) \ u,L(z,w,v5)). K((x \ y) * z,L(z,u,w)) = K((z \ x) \ y,L(z,u,w)). K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). x != K(y \ (z * u),L(z,w,v5)) | x = K(y \ (u * z),L(z,w,v5)). K((x \ y) * z,L(z,u,w)) = K(x \ (y * z),L(z,u,w)). K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). x != K((y \ z) \ (u * w),L(u,w,y)) | x = K(z \ (y * (u * w)),u). K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). x != K(y \ (z * u),L(u,w,v5)) | x = K((y / u) \ z,L(u,w,v5)). K((x \ y) * z,L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)) = (x \ y) * L(y,z,u). (x * ((y \ 1) \ 1)) / ((z \ 1) / (1 / y)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). x / ((y * z) \ K(u \ w,w \ u)) = (1 / x) \ (y * (z * K(u \ w,w \ u))). (1 / x) \ (y * (z * K(u \ w,w \ u))) = x / ((y * z) \ K(u \ w,w \ u)). (1 / x) \ (((((1 / x) * y) * y) * (1 / y)) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). (x \ y) * (T(y,z) \ 1) = x \ K(z,y). (x \ y) * T(1 / y,z) = x \ K(y \ z,y). (x \ y) * (K(z,K(1 / y,u)) * (1 / y)) = x \ K(y \ K(z,u),y). (x \ y) * (K(z,K(y,u \ 1)) * (1 / y)) = x \ K(y \ K(z,u),y). (x \ y) * (K(y,K(z,u \ 1)) * (1 / y)) = x \ K(y \ K(z,u),y). (x \ y) * (K(y,K(z,u)) * (1 / y)) = x \ K(y \ K(z,u),y). (x \ y) * (K(y,K(z,u)) / y) = x \ K(y \ K(z,u),y). (x \ y) * (K(y,K(z,u)) / y) = x \ K(y,y \ K(z,u)). (x * ((x \ 1) * y)) * (z * (x * ((x \ 1) * y))) = y * (z * y). L(x,y,y) * (z * (y * ((y \ 1) * x))) = x * (z * x). L(x,y,y) * (z * L(x,y,y)) = x * (z * x). (x * y) * (z * (((x * ((u / y) \ u)) \ u) / z)) = (x * (z * ((x \ (u / y)) / z))) * ((u / y) \ u). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). x != T(y,z) \ R(T(y,z),u,y) | x = y \ R(y,u,y). K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). K(x * K(y * K(z,u),w),T(u,y)) = K(y \ (x * T(y * K(z,u),w)),u). K(x \ (y * T(x * K(z,u),w)),u) = K(y * K(x * K(z,u),w),T(u,x)). (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = K(y,x) \ (((x * T(x,y)) \ z) \ 1). ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,(y \ x) \ (x \ 1)) * z. (x * ((y \ 1) \ 1)) / (z \ (1 / (1 / y))) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). (1 / x) \ ((y * ((1 / y) * ((1 / x) * y))) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,x \ (y / x)) * z. ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x * (y \ x),x \ (y / x)) * z. (x * ((y \ 1) \ 1)) / (z \ ((y \ 1) \ 1)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). (1 / x) \ (T(y * (1 / x),y) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). (x * (y / (1 / z))) * (1 / z) = ((z \ 1) \ 1) / (y \ ((z \ x) \ 1)). ((x \ 1) \ 1) / (y \ ((x \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). x != (y * (z / (1 / u))) * (1 / u) | x = u / (z \ ((y \ 1) * u)). ((x \ 1) \ 1) / (y \ ((x \ z) \ 1)) = x / (y \ ((z \ 1) * x)). (1 / ((x \ 1) \ 1)) \ ((x \ y) * z) = x / (z \ ((y \ 1) * x)). (x \ 1) \ ((x \ y) * z) = x / (z \ ((y \ 1) * x)). x / (y \ ((z \ 1) * x)) = (x \ 1) \ ((x \ z) * y). x != y / (z \ ((u \ 1) * y)) | x = (u * (z / (1 / y))) * (1 / y). (x \ 1) \ ((x \ y) * z) = (y * (z / (1 / x))) * (1 / x). (x * (y / (1 / z))) * (1 / z) = (z \ 1) \ ((z \ x) * y). x / (y \ (z * x)) = (x \ 1) \ ((x \ (1 / z)) * y). (x \ 1) \ ((x \ (1 / y)) * z) = x / (z \ (y * x)). L((x / (y \ (z * x))) \ 1,x,x) = x * ((y / (x \ 1)) \ z). x != (y * (z / (1 / u))) * (1 / u) | x = (1 / u) \ ((L(u,u,u) \ y) * z). (x \ 1) \ ((x \ y) * z) = (1 / x) \ ((L(x,x,x) \ y) * z). (1 / x) \ ((L(x,x,x) \ y) * z) = (x \ 1) \ ((x \ y) * z). (x * (x / (y \ (z * x)))) \ x = x * ((y / (x \ 1)) \ z). (x \ (y * z)) / z = z * ((x / (z \ 1)) \ y). x * ((y / (x \ 1)) \ z) = (y \ (z * x)) / x. (1 / x) * ((y / x) \ z) = (y \ (z * (1 / x))) / (1 / x). (x \ (y * (1 / z))) / (1 / z) = (1 / z) * ((x / z) \ y). (x / (((1 / y) \ 1) * (z / (1 / y)))) / (1 / y) = (1 / y) * (((1 / x) / y) \ ((1 / y) / z)). (K(x,y) \ (z * (1 / (1 / u)))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(y,x)) \ 1) \ z). (1 / (1 / T(x,y \ 1))) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). (K(x,y) / ((x * x) \ (1 / (1 / z)))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). (1 / (x * ((y \ 1) \ 1))) \ ((y \ 1) * z) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). (K(x,y) / ((x * x) \ ((z \ 1) \ 1))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). ((1 / 1) \ ((x \ 1) / y)) \ ((x \ 1) * z) = (y / ((T(z,x) \ 1) * (1 / x))) * (1 / x). (K(x,y) / (x \ ((z \ x) \ 1))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). ((1 / K(x,y)) \ ((z \ x) * x)) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). K(x,y) * (((z \ x) * x) * K(x,y)) = K(x,y) * (((x * T(x,y)) \ z) \ 1). K(x,y) * (((x * T(x,y)) \ z) \ 1) = K(x,y) * (((z \ x) * x) * K(x,y)). K(x,y) * (((x * T(x,y)) \ z) \ 1) = K(x,y) * ((z \ x) * T(x,y)). (x \ y) * T(y,z) = ((y * T(y,z)) \ x) \ 1. ((x * T(x,y)) \ z) \ 1 = (z \ x) * T(x,y). 1 / ((x \ y) * T(y,z)) = (y * T(y,z)) \ x. x != 1 / ((y \ z) * T(z,u)) | x = (z * z) \ (K(u,z) * y). (x * T(x,y)) \ z = (x * x) \ (K(y,x) * z). (x * x) \ (K(y,x) * z) = (x * T(x,y)) \ z. x != (y * y) \ (K(z,y) * u) | x = (1 / y) * (T(y,z) \ u). (x * T(x,y)) \ z = (1 / x) * (T(x,y) \ z). (1 / x) * (T(x,y) \ z) = (x * T(x,y)) \ z. x != (y * z) \ ((z \ (y \ 1)) \ u) | x = (y * z) * ((1 / (y * z)) * u). (1 / x) * (T(x,y) \ ((T(x,y) \ (x \ 1)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). (1 / (x \ 1)) * ((1 / T(x,y)) \ z) = ((x \ 1) * T(x \ 1,x * y)) \ z. ((x \ 1) * T(x \ 1,x * y)) \ z = (1 / (x \ 1)) * ((1 / T(x,y)) \ z). (1 / (x * (y \ 1))) * (((1 / y) * x) \ z) = ((x * (y \ 1)) * T(x * (y \ 1),y)) \ z. ((x * (y \ 1)) * T(x * (y \ 1),y)) \ z = (1 / (x * (y \ 1))) * (((1 / y) * x) \ z). ((x \ 1) * T(x \ 1,x * y)) \ z = x * ((1 / T(x,y)) \ z). ((x \ 1) * (1 / T(x,y))) \ z = x * ((1 / T(x,y)) \ z). (x \ (T(x,y) \ 1)) \ z = x * ((1 / T(x,y)) \ z). (1 \ ((x \ 1) / y)) \ ((x \ 1) * z) = (y / ((T(z,x) \ 1) * (1 / x))) * (1 / x). (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (1 \ ((z \ 1) / x)) \ ((z \ 1) * y). (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (1 \ (z \ (1 / x))) \ ((z \ 1) * y). (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (z \ (1 / x)) \ ((z \ 1) * y). x != (y \ (1 / z)) \ ((y \ 1) * u) | x = (z * y) / (u \ y). (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (x * z) / (y \ z). (x / ((1 / y) * (z \ 1))) * (1 / y) = (x * y) / (z \ y). (x / ((1 / y) * z)) * (1 / y) = (x * y) / ((1 / z) \ y). ((x * (y \ 1)) * T(x * (y \ 1),y)) \ z = (y / x) * (((1 / y) * x) \ z). ((x * (y \ 1)) * ((1 / y) * x)) \ z = (y / x) * (((1 / y) * x) \ z). T(L(x,x \ y,x),z) = L(T(x,z),x \ (y * K(u,x)),x). L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). x != T(y,y \ (((y \ 1) * z) \ 1)) | x = T(y,z \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). x != T(y,(z \ u) \ 1) | x = T(y,u \ z). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). x != T(y,L(y * (z \ u),y \ 1,w) \ 1) | x = T(y,u \ (y \ z)). T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). x != K(y,T(z,T(u,y \ w))) | x = K(y,T(z,T(u,w))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). x != K(y,T(z,T(u * y,w))) | x = K(y,T(z,T(u,w))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). x != K(y,T(z,u \ (y * w))) | x = K(y,T(z,u \ w)). K(x,T(y,z)) = K(x,T(y,u \ (u * R(z,x,x \ u)))). K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). x != K(y,T(z,R(y \ u,y,y \ w))) | x = K(y,T(z,(u * (y \ w)) / w)). K(x,T(y,x \ z)) = K(x,T(y,(z * (x \ u)) / u)). K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). K(x,T(y,z / u)) = K(x,T(y,z / (x \ u))). K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). x != T(y,T((z * (y \ 1)) / u,u / (y \ 1))) | x = T(y,(u / (y \ 1)) \ z). T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). T(x,y \ (z * (x \ 1))) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). x != T(y,z \ (u * (y \ 1))) | x = T(y,z \ (y \ u)). T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). x != T(y,(z / (y \ 1)) \ u) | x = T(y,((y \ 1) \ z) \ u). T(x,y \ (x \ z)) = T(x,((x \ 1) \ y) \ z). T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). T(x,T(y,x \ 1) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). x != T(y,(z * (y \ 1)) \ (y \ u)) | x = T(y,R(z,y \ 1,y) \ u). T(x,T(y,x \ 1) \ z) = T(x,R(y,x \ 1,x) \ z). T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). x != T(y,T(z,y \ 1) \ u) | x = T(y,z \ u). T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). x != T(y,R(z,y \ 1,y) \ (y * u)) | x = T(y,(z * (y \ 1)) \ u). T(x,y \ (x * z)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). T(x,x * (y \ z)) = T(x,y \ (x * z)). T(x,y \ (x * z)) = T(x,x * (y \ z)). x != T(y,z \ (y * (u \ z))) | x = T(y,T(u \ y,z)). T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). x != K(y * R(z,u,w),z) * K(y,K(z,v5)) | x = a(z,y,R(z,u,w)) * T(K(y,z),v5). T(K(x * R(y,z,u),y),w) = a(y,x,R(y,z,u)) * T(K(x,y),w). a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). x != T(K(y,z),T(u,K(w,y))) | x = K(y,T(z,u)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). x != K(L(y,z,u),L(w,v5,y)) | x = K(L(y,z,u),w). K(x,L(L(y,z,x),x * z,u)) = K(L(x,z * y,u),y). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | x = K(y,L(z,w,v5)). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,y,z),u) = K(x,L(u,x * (y / u),z)). K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). K(R(x,y,z),u) = K(L(R(x,y,z),w,x),u). K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). x != K(L(R(y,z,u),w,v5),L(y,w,v5) * (v6 \ 1)) | x = K(R(L(y,w,v5),z,u),v6 \ L(y,w,v5)). K(R(x,y,z),L(x,u,x) * (w \ 1)) = K(R(L(x,u,x),y,z),w \ L(x,u,x)). K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). x != K(R(y,z,u),L(y,w,y) * v5) | x = K(R(y,z,u),y * v5). K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). K(R(L(x,y,x),z,u),w \ L(x,y,x)) != v5 | K(R(x,z,u),w \ x) = v5. K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). x != K(L(y,T(z,u),w),u) | x = K(L(y,z,w),u). K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). a(x,y,x) * K(y,T(x,z)) = K(T(x,z * y) * y,T(x,z * y)). K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). K(x * y,T(x,z)) = a(x,y,x) * K(y,T(x,z)). a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). a(x,y / z,x) = a(x,z \ y,x). x != a(y,(z * u) \ u,y) | x = a(y,z \ 1,y). a(x,y / (z * y),x) = a(x,z \ 1,x). a(x,y,x) = a(x,(y \ z) \ z,x). a(x,(y \ z) \ z,x) = a(x,y,x). a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). a(x,T(y,z),x) = a(x,y,x). a(x,R(y \ z,u,w),x) = a(x,R(z / y,u,w),x). a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). x != a(y,R(z / u,w,v5),y) | x = a(y,R(u \ z,w,v5),y). a(x,(y * z) \ (u * z),x) = a(x,R(y \ u,y,z),x). a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). (x / y) \ (a(y,R(z \ u,z,w),y) \ x) = L(y,(z * w) \ (u * w),y). L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. x != K(L(y,z,u),L(K(w,y),v5,v6) * v7) | x = K(L(y,z,u),v7). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * (1 / x),y * (1 / x)) = (x * y) * z. (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). (x * y) \ (x * (y * z)) = L(z,y * K(u \ 1,u),x). L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,y,z) = L(x,(y \ 1) \ 1,z). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,y,z) = L(x,T(y,y \ 1),z). L(x,T(y,y \ 1),z) = L(x,y,z). L(x,y \ 1,z) = L(x,1 / y,z). L(x,1 / y,z) = L(x,y \ 1,z). L(x,K(y \ 1,y) * z,u) = L(x,z,u). L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). L(x,((y \ 1) \ 1) \ z,u) = L(x,((z \ 1) * y) \ 1,u). L(x,(y \ z) * (1 / y),u) = L(x,(y * (z \ y)) \ 1,u). L(x,(y * (z \ y)) \ 1,u) = L(x,(y \ z) * (1 / y),u). L(x,1 / ((y / z) \ z),u) = L(x,z \ (1 / (z / y)),u). L(L(x,y \ 1,L(z,y,y)),z / y,K(L(z,y,y),u)) = L(x,1 / y,T(L(z,y,y),u)). L(x,K(y \ z,z \ y) * u,w) = L(x,u,w). L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * ((K(u,z) * T(u,w)) \ 1),v5). L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). L(x,K(y \ z,z \ y) * u,w) = v5 * (v5 \ L(x,u,w)). L(x,((y \ 1) \ 1) \ z,u) = L(x,y \ ((z \ 1) \ 1),u). L(x,(y \ z) \ (z \ 1),u) = L(x,(z \ y) * (1 / z),u). L(x,(1 / y) * (z / y),u) = L(x,y \ (1 / (y / z)),u). L(x,y \ (1 / (y / z)),u) = L(x,(1 / y) * (z / y),u). L(x,K(y \ z,z \ y) * u,w) != v5 | L(x,u,w) = v5. L(x,K(y,y \ 1) * z,u) != w | L(x,z,u) = w. L(x,(y \ 1) \ 1,z) != u | L(x,y,z) = u. L(x,1 / y,z) != u | L(x,y \ 1,z) = u. (x / y) \ L(x * (y \ z),y,y) != u | L(z,y \ 1,L(x,y,y)) = u. L(x,(y \ 1) \ z,u) = L(x,(1 / y) \ ((z \ 1) \ 1),u). L(x,(1 / y) \ ((z \ 1) \ 1),u) = L(x,(y \ 1) \ z,u). L(x,y \ (1 / (y / z)),u) = L(x,(y \ z) / y,u). L(x,y / (1 / z),u) = L(x,(y \ 1) \ z,u). L(x,T(y,(1 / z) \ y),u) = L(x,(((1 / z) * y) \ 1) \ z,u). x * (T(y,y \ 1) * z) != (x * T(y,y \ 1)) * u | L(z,y,x) = u. (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. L(x,T(y,y * z),u) = L(x,(((1 / z) * y) \ 1) \ z,u). L(x,T(y,y * z),u) = L(x,(y \ z) \ z,u). L(x,y * (T(z,u) \ K(w,z)),v5) = L(x,y * (K(u,z) / T(z,w)),v5). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). x != K(y,R(K(z,u),w,v5)) | x = K(y,K(u,R(z,w,v5))). K(x,K(a(y,z,u),T(w,y * (z * u)))) = K(x,K(R(y,z,u) \ y,R(w,y,z * u))). K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). K(x,y \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). x != K(y,z \ (y \ (z * (u * y)))) | x = K(y,L(u,y,z)). L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). L(K(x,y),z,y * x) = K(x,L(y,x,((y * x) * z) / (y * x))). K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). x != K(y,L(z,y,u)) | x = K(y,z). L(K(x,y),z,y * x) = K(x,y). x != K(y,z) | x = K(y,L(z,y,u)). L(K(x,y),z,y * x) = K(x,L(y,x,u)). K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). K(x,L(y,x,z)) != u | u = K(x,y). K(x,L(y,x,z)) != u | K(x,y) = u. L(K(x,y),z,y * x) != u | K(x,y) = u. L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),x * (u \ w)) = v5. K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). L(x,y * z,K(z,y)) = L(x,K(z,y),y * z). L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. L(L(x,y,z),K(y,z),z * y) != u | L(x,T(y,z),z) = u. K(L(x,y,z),u \ (x * w)) != v5 | K(L(x,y,z),x * (u \ w)) = v5. (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). x * (y * z) = (z * y) * T(x * K(y,z),z * y). (x * y) * T(z * K(y,x),x * y) = z * (y * x). x * y != (z * u) * T(w * K(u,z),z * u) | (w * (u * z)) / y = x. (x * (y * z)) / (z * y) = x * K(y,z). x / (y * z) = (x / (z * y)) * K(z,y). (x / (y * z)) * K(y,z) = x / (z * y). (x / (y * z)) * y = (x / (z * y)) * (y * K(z,y)). (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. K(x / (y * z),y) != u | K(x / (z * y),y) = u. K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. ((x / (y * z)) * y) * z != u | ((x / (z * y)) * y) * T(z,y) = u. L(x,(y \ z) * (1 / y),(y \ z) * (1 / y)) != u | L(x,y * (z \ y),y * (z \ y)) = u. T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). x != K(y,T(z,L(z,u,w) \ v5)) | x = K(y,T(z,v5)). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). x != K(y \ z,T(u,y)) | x = K(z / y,u). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * (1 / x),y * (x \ 1)) = (x * y) * z. x != y / (K(z \ 1,z) * u) | x = K(z,z \ 1) * (y / u). R(x,y * K(z \ 1,z),u) = K(z,z \ 1) * ((K(z \ 1,z) * ((x * y) * u)) / (y * u)). K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). R(x,y,z) = R(x,y * K(u \ 1,u),z). R(x,y * K(z \ 1,z),u) = R(x,y,u). R(x,y,z) = R(x,(y \ 1) \ 1,z). R(x,(y \ 1) \ 1,z) = R(x,y,z). R(x,y \ 1,z) = R(x,1 / y,z). R(x,1 / y,z) = R(x,y \ 1,z). R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. x != R(y,1 / z,z / u) | x = R(y,1 / z,(z \ 1) \ (1 / u)). R(x,y \ 1,y / z) = R(x,1 / y,(y \ 1) \ (1 / z)). R(x,1 / y,(y \ 1) \ (1 / z)) = R(x,y \ 1,y / z). 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. x != R(L(y,z,z),1 / z,(z \ 1) \ (1 / u)) | x = ((z / u) \ (z * (1 / y))) \ u. R(L(x,y,y),y \ 1,y / z) = ((y / z) \ (y * (1 / x))) \ z. (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. ((x / y) \ (x * (1 / z))) \ y = L(R(z,x \ 1,x / y),x,x). L(R(x,y \ 1,y / z),y,y) = ((y / z) \ (y * (1 / x))) \ z. 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. 1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1. (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(y * (z \ 1)) \ (x \ 1)). (x * y) * ((1 / (x * y)) * K(z,z \ 1)) = (z * (1 / ((x * y) * z))) \ (y \ (x \ 1)). (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) = (y * z) * ((1 / (y * z)) * K(x,x \ 1)). (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) = (y * z) * (x * (1 / ((y * z) * x))). (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) != u | K(x \ (y * z),(y * z) \ x) = u. K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. x != K(L(y,z,u),w \ L(K(y,v5),v6,v7)) | x = K(L(y,z,u),w \ 1). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). x != K(y,(z \ u) \ 1) | x = K(y,u \ z). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). (x / y) * K(z * u,(z * u) \ 1) = x / ((1 / (y * (z * u))) \ (u \ (z \ 1))). x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(z * u,(z * u) \ 1). x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(z * u,u \ (z \ 1)). x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(u \ z,z \ u). x / ((y * z) \ (((z \ (y \ 1)) \ 1) * u)) = (x / u) * K(z \ y,y \ z). x / ((1 / (y * z)) * ((z \ (y \ 1)) \ u)) = (x / u) * K(z \ y,y \ z). x / (K(y \ z,z \ y) * u) = (x / u) * K(y \ z,z \ y). (x * y) / (L(y \ 1,z,u) / (y \ 1)) = (x / (y \ L(1 / y,z,u))) * (y \ 1). (x * y) / (y * L(y \ 1,z,u)) = (x / (y \ L(1 / y,z,u))) * (y \ 1). (x / (y \ L(1 / y,z,u))) * (y \ 1) = (x * y) / (y * L(y \ 1,z,u)). K(x,(y * (x \ z)) \ u) = K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u). K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). x != K(y,(z * ((y \ 1) * u)) \ w) | x = K(y,(z * u) \ (w * y)). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). x != K(y,(z * (y \ u)) \ w) | x = L(K(y,u \ ((z \ w) * y)),z \ w,z). K(x,(y * z) \ (u * x)) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). x != L(K(y,z \ ((u \ w) * y)),u \ w,u) | x = K(y,(u * z) \ (w * y)). K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). x != K(y,(z * (u * (w / y))) \ (u * (y \ w))) | x = K(y,(u * (w / y)) \ (z \ (u * (w / y)))). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). K(x,T(y \ 1,z * (u / x))) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). x != K(y,T(z,u * (w / y))) | x = K(y,T(z,u * w)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). K(x,y \ (z * u)) = K(x,y \ ((z * (x \ u)) * x)). K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). K(x,y * (x \ z)) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,y * (x \ z)). (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). K(x * (y \ z),y) = K(y \ (x * z),y). K(x \ (y * z),x) = K(y * (x \ z),x). K(x \ y,x) = K(z * (x \ (z \ y)),x). K(x * (y \ (x \ z)),y) = K(y \ z,y). (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). (x \ (y * z)) * K(z,y) = x \ (z * y). (x * y) * K(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). x != (y * z) * K(z,u) | x = y * T(z,u). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,x). R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). K(L(x,y,z),x * ((u * w) \ v5)) = K(L(x,y,z),(u * (x \ w)) \ v5). K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,z \ (1 / (z / (w \ (u \ z))))). (x / (y * (z / (1 / y)))) / (1 / y) = (1 / y) * (((1 / x) / y) \ ((1 / y) / z)). (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (y / (x * (z / (1 / x)))) / (1 / x). x != (y / (z * u)) / (1 / z) | x = (z * (1 / y)) \ (z / u). (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (x * (1 / y)) \ (x / (z / (1 / x))). (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (x * (1 / y)) \ (x * (1 / (z * x))). x != (y * z) \ (y * (1 / (u * y))) | x = (z \ (1 / y)) / u. (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = ((1 / y) \ (1 / x)) / z. (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (y / x) / z. (1 / x) * ((1 / (x * y)) \ ((1 / x) / z)) = (y / x) / z. (1 / x) * ((1 / (x * y)) \ (1 / (z * x))) = (y / x) / z. (1 / x) * ((x * y) / (z * x)) = (y / x) / z. x != (1 / y) * ((y * z) / (u * y)) | x = L(z,y,u) / (u * y). (x / y) / z = L(x,y,z) / (z * y). L(x,y,z) / (z * y) = (x / y) / z. ((x / y) / z) * (z * y) = L(x,y,z). L(x,y,z) = ((x / y) / z) * (z * y). ((x / y) / z) * (z * y) != u | u = L(x,y,z). ((x / y) / z) * (z * y) != u | L(x,y,z) = u. L(x,y,z) / (z * y) != u | u = (x / y) / z. L(x,y,z) / (z * y) != u | (x / y) / z = u. (K(x,y) \ (z * ((u \ 1) \ 1))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(y,x)) \ 1) \ z). (1 / x) * (T(x,y) \ ((x \ (T(x,y) \ 1)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). x != K(y,(z * (u \ 1)) \ w) | x = K(y,(u / z) * w). (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(z / y) * (x \ 1)). x != K(y,z * (u \ 1)) | x = K(y,z / u). (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(z / y) / x). x != K(y / z,z / y) | x = K(z \ y,y \ z). (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K((z / y) \ x,x \ (z / y)). (x * (y * (z \ 1))) * ((z / y) / x) = K((z / y) \ x,x \ (z / y)). x != ((1 / y) * (z * (u \ 1))) * ((u / z) / (1 / y)) | x = ((y \ 1) * (1 / (u / z))) * ((z * (u \ 1)) \ y). K((x / y) \ (1 / z),(1 / z) \ (x / y)) = ((z \ 1) * (1 / (x / y))) * ((y * (x \ 1)) \ z). ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ (1 / x),(1 / x) \ (y / z)). L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,z \ (z * ((z \ (1 / w)) / u))). (K(x,y) * (z * ((u \ 1) \ 1))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(x,y)) \ 1) \ z). (1 / x) * (T(x,y) \ (x * ((1 / T(x,y)) \ z))) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). x != K(y,(1 / z) \ u) | x = K(y,z * u). ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ (1 / x),x * (y / z)). x != K(y \ (1 / z),u) | x = K(z * y,u \ 1). ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K(x * (y / z),(x * (y / z)) \ 1). ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K(x * (y / z),(y / z) \ (x \ 1)). ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ x,x \ (y / z)). x != ((y \ 1) * (1 / (z / u))) * ((u * (z \ 1)) \ y) | x = ((z / u) / (1 / y)) \ ((u * (z \ 1)) \ y). K((x / y) \ z,z \ (x / y)) = ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z). ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) \ z,z \ (x / y)). x != ((y / z) / (1 / u)) \ ((z * (y \ 1)) \ u) | x = K((y / z) * u,u \ (z * (y \ 1))). K((x / y) \ z,z \ (x / y)) = K((x / y) * z,z \ (y * (x \ 1))). K((x / y) * z,z \ (y * (x \ 1))) = K((x / y) \ z,z \ (x / y)). L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,(z \ (1 / w)) / u). L(x,y,(z \ 1) * ((u \ (w \ z)) / z)) = L(x,y,(z \ (1 / u)) / w). L(x,y,(z * u) \ (w \ 1)) = L(x,y,(u \ (1 / z)) / w). L(x,y,(z \ (1 / u)) / w) = L(x,y,(u * z) \ (w \ 1)). (1 / (K(x,y) * (z * ((u \ 1) \ 1)))) \ (u \ 1) = (1 / (1 / u)) * (((u \ K(x,y)) \ 1) \ z). (1 / x) * (K(y,x) * ((1 / T(x,y)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). (1 / x) * ((1 / x) \ y) = (x * T(x,z)) * ((1 / (x * T(x,z))) * y). (x * T(x,y)) * ((1 / (x * T(x,y))) * z) = (1 / x) * ((1 / x) \ z). (x * T(x,y)) * ((1 / (x * T(x,y))) * z) = z. x * y != (z * T(z,u)) * ((1 / (z * T(z,u))) * w) | x \ w = y. (x * (y * T(y,z))) \ x = y \ (T(y,z) \ 1). x \ (x / (y * T(y,z))) = y \ (T(y,z) \ 1). (x \ (T(x,y) \ 1)) * z = (x * T(x,y)) \ z. x * (y \ (T(y,z) \ 1)) = x / (y * T(y,z)). ((x / y) \ ((y \ x) \ 1)) * z = ((x / y) * T(x / y,y)) \ z. ((x / y) * T(x / y,y)) \ z = ((x / y) \ ((y \ x) \ 1)) * z. x * (y \ (y \ K(z,y))) = x / (y * T(y,z)). x * ((y / z) \ ((y / z) \ K(z,y / z))) = x / ((y / z) * (z \ y)). ((x / y) * (y \ x)) \ z = ((x / y) \ ((y \ x) \ 1)) * z. ((x / y) \ ((y \ x) \ 1)) * z = ((x / y) * (y \ x)) \ z. x * ((y / z) \ ((y / z) \ K(z,z \ y))) = x / ((y / z) * (z \ y)). x * ((y / z) \ ((z \ y) \ 1)) = x / ((y / z) * (z \ y)). ((1 / 1) \ (((x \ 1) / y) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). (1 \ (((x \ 1) / y) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). (1 \ ((x \ (1 / y)) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). (1 \ ((x \ (1 / y)) * K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(u,z)) \ 1) \ y). ((x \ (1 / y)) * K(z,u)) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(u,z)) \ 1) \ y). (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = ((x \ (1 / u)) * K(z,y)) \ (x \ 1). x != ((y \ z) * K(u,w)) \ (y \ 1) | x = (K(w,u) * y) * (y \ (z \ 1)). (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ ((1 / u) \ 1)). (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ u). ((x \ 1) \ 1) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ u). x != ((y \ 1) \ 1) * (((y \ z) \ 1) \ u) | x = y * (((z \ 1) * y) \ u). (K(x,y) * z) * (z \ u) = z * (((K(x,y) \ 1) * z) \ u). x * (((K(y,z) \ 1) * x) \ u) = (K(y,z) * x) * (x \ u). x * ((K(y,z) * x) \ u) = (K(z,y) * x) * (x \ u). (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). (K(x,y) * (1 / z)) * (z / (u \ K(w,v5))) = (1 / z) * ((K(y,x) * (1 / z)) \ (K(v5,w) * u)). (1 / x) * ((K(y,z) * (1 / x)) \ (K(u,w) * v5)) = (K(z,y) * (1 / x)) * (x / (v5 \ K(w,u))). (1 / x) * ((K(y,z) * (1 / x)) \ (K(u,w) * v5)) = (K(z,y) / x) * (x / (v5 \ K(w,u))). x != (1 / y) * ((K(z,u) * (1 / y)) \ w) | x = (K(u,z) * (w / y)) * y. (K(x,y) / z) * (z / (u \ K(w,v5))) = (K(x,y) * ((K(v5,w) * u) / z)) * z. (K(x,y) * ((K(z,u) * w) / v5)) * v5 = (K(x,y) / v5) * (v5 / (w \ K(u,z))). (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x * y,x \ 1) \ 1). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). a(x,y,x) = a((x \ z) \ z,y,(x \ z) \ z). a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,(x * y) \ 1) * 1). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,y \ (x \ 1)) * 1). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,u). a(x,y,K(z,z \ 1) * u) != w | w = a(x,y,u). a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. x != a(y,z,K(u,u \ 1) * w) | x = ((y * (z * (K(u,u \ 1) * w))) \ ((y * z) * w)) * K(u,u \ 1). a(x,y,z) = ((x * (y * (K(u,u \ 1) * z))) \ ((x * y) * z)) * K(u,u \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). a(x,y,1 / z) = a(x,y,z \ 1). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). a(x,y,(1 / z) * u) = a(x,y,(u \ z) \ 1). a(x,y,(z \ u) \ 1) = a(x,y,(1 / u) * z). a(x,y,(1 / z) * u) != w | a(x,y,(z \ 1) * u) = w. a(x,y,(z \ u) \ 1) != w | a(x,y,(u \ 1) * z) = w. ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,((z * (u * (w * K(y,y \ 1)))) \ ((z * u) * w)) \ 1,x). a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,y \ (x \ 1))). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). a(x,K(y,y \ 1) * z,u) = a(x,z,u). a(x,y * K(z,z \ 1),u) = a(x,y,u). (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). (x * R(x \ (x * y),z,u)) * K(y,w) = R(x,y,K(y,w)) * (R(y,z,u) * K(y,w)). R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). x * (R(y,z,u) * K(y,w)) = (x * R(y,z,u)) * K(y,w). (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ R(x,u,w)). K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). ((x / y) * (T(y \ x,y) \ 1)) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). ((x / y) * T(x \ y,y)) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). ((x / y) * T(x \ y,y)) * T(z,K(x,y)) = (K(y,y \ x) * z) * K(y,y \ x). x != ((y / z) * T(y \ z,z)) * u | x = (y / z) * (T(z \ y,z) \ u). (K(x,x \ y) * z) * K(x,x \ y) = (y / x) * (T(x \ y,x) \ T(z,K(y,x))). (x / y) * (T(y \ x,y) \ T(z,K(x,y))) = (K(y,y \ x) * z) * K(y,y \ x). x != (K(y,z) * u) * K(w,z) | x = K(y,z) * (u * K(w,z)). (x / y) * (T(y \ x,y) \ T(z,K(x,y))) = K(y,y \ x) * (z * K(y,y \ x)). x != (y / z) * (T(z \ y,z) \ u) | x = y * (T(T(y,z),z) \ u). K(x,x \ y) * (z * K(x,x \ y)) = y * (T(T(y,x),x) \ T(z,K(y,x))). x != T(K(y,z) \ u,K(y,z)) | x = u * K(z,y). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). (x * (y * ((1 / z) * (y * (1 / z))))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). K(x,x \ y) * (((y * (1 / x)) * (y * (1 / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. K(x,x \ y) * ((y * ((1 / x) * (y * (1 / x)))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. K(x,x \ y) * ((y * (x \ (y / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. x != K(y,y \ z) * ((z * (y \ (z / y))) \ u) | x = ((z / y) * (y \ z)) \ u. ((x * (1 / y)) * ((y \ 1) * x)) \ z = ((x / y) * (y \ x)) \ z. (x * (y \ (y \ x))) \ z = ((x / y) * (y \ x)) \ z. ((x / y) * (y \ x)) \ z = (x * (y \ (y \ x))) \ z. x != ((y / z) * (z \ y)) \ u | x = ((y / z) \ ((z \ y) \ 1)) * u. (x * (y \ (y \ x))) \ z = ((x / y) \ ((y \ x) \ 1)) * z. ((x / y) \ ((y \ x) \ 1)) * z = (x * (y \ (y \ x))) \ z. K(x,x \ 1) * ((y \ z) * ((y \ x) * (1 / x))) = ((y \ x) * (1 / x)) * (z * ((y \ x) * (1 / x))). ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = K(y,y \ 1) * ((x \ z) * ((x \ y) * (1 / y))). L(x,(y * (1 / y)) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). L(x,K(y,y \ 1) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). L(x,K(y,y \ 1) * z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). L(x,y,(y \ z) * (1 / z)) = L(x,(y \ z) * (1 / z),(y \ z) * (1 / z)). L(x,(y \ z) * (1 / z),(y \ z) * (1 / z)) = L(x,y,(y \ z) * (1 / z)). ((((x \ 1) \ (1 / (y \ (1 / z)))) \ x) \ 1) \ (1 / u) = (z * (x * (((x \ y) \ 1) \ 1))) \ (1 / u). x != (y * (K(z,u) * w)) \ (y * w) | x = L(K(u,T(z,w)),w,y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). K(x,y) = L(K(x,y),L(y,z,u),w). L(K(x,y),L(y,z,u),w) = K(x,y). K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (1 / (y * x)) * ((1 / (y * x)) * z). x != (1 / y) * ((1 / y) * z) | x = (y \ 1) * ((y \ 1) * z). ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = ((y * x) \ 1) * (((y * x) \ 1) * z). ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (x \ (y \ 1)) * (((y * x) \ 1) * z). ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (x \ (y \ 1)) * ((x \ (y \ 1)) * z). (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(T(x,w),T(x,w) \ y,R(x,z,u)). a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). K(x / y,T(z,u)) \ T(K(y \ x,z),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). x != K(y,T(z,u)) \ w | x = K(z,T(y,u)) * w. K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). x != K(K(y,z) \ u,T(K(y,w),v5)) | x = K(y,K(u,T(w,v5))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. (x * ((1 / (y * x)) * K(z \ u,u \ z))) * w = x * (1 / ((w \ (K(z \ u,u \ z) * y)) * x)). (K(x \ y,y \ x) / T(z,u \ (w \ 1))) \ (w * u) = ((w * u) * z) * K(x \ y,y \ x). x != K(L(y,z,u),L(y,z,u) \ w) | x = K(L(y,z,u),y \ w). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)). K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (u / y)) \ w) | x = K(y,y * ((z * u) \ w)). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (1 / u)) \ w) | x = K(y,(z * (u \ 1)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). x != K(L(y,z,u),(w * (y \ v5)) \ v6) | x = K(L(y,z,u),y * ((w * v5) \ v6)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). x != K(y,((z / y) * u) / w) | x = K(y,((y \ z) * u) / w). K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). K(x,((y * x) * z) / ((u * y) * z)) != w | K(R(x,y,z),u \ x) = w. (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). x != R(K(y,z) * R(K(z,y),u,w),K(z,y),u * w) | x = ((K(z,y) * u) * w) / (K(z,y) * (u * w)). K(x,y) * R(K(y,x),z,u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). ((K(x,y) * R(K(y,x),z,u)) * K(y,w)) \ (((K(x,y) * R(K(y,x),z,u)) * K(y,w)) * v5) = L(v5,K(y,w),R(K(x,y) * R(K(y,x),z,u),K(y,w),v5)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * (y * (y \ z)))). K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). x != K(y,z / ((u * y) * w)) | x = K(y,z / ((y * u) * w)). K(x,y / (x * (z * u))) = K(x,y / ((x * z) * u)). K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). T(x,y / ((x * z) * u)) = x * K(x,y / (x * (z * u))). x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). K(x,((y * x) * z) / (x * z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). L(K(x,y),z,y * x) = K(x,R(y,x,z)). K(x,y) = K(x,R(y,x,z)). K(x,R(y,x,z)) = K(x,y). R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). K(x,R(y,x,z)) != u | K(x,y) = u. x != K(y,R(y \ (z / u),y,z / (z / u))) | x = K(y,z / (u * y)). K(x,x \ (y / z)) = K(x,y / (z * x)). K(x,y / (z * x)) = K(x,x \ (y / z)). x != K(y,R(z,z \ u,w)) | x = R(K(y,z),u,w). K(x \ y,x) = R(K(x \ y,x),y,z). R(K(x \ y,x),y,z) = K(x \ y,x). K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). T(x,R(y,x,z)) = x * K(x,y). T(x,R(y,x,z)) = T(x,y). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. K(x / (y * z),y) = K(y \ (x / z),y). K(x,y / (x * z)) = K(x,x \ (y / z)). x != K(y,z / ((u * w) * y)) | x = K(y,z / ((u * y) * w)). K(x,x \ (y / (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). x != K(y,(y * z) / (u * y)) | x = K(y,z / u). K(x,x \ ((x * y) / z)) = K(x,y / z). K(x / (y * z),z) = K(z \ (x / y),z). x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). x != K(y,R(R(z,u,w),u * w,v5)) | x = R(K(y,R(z,u,w)),(z * u) * w,v5). K(x,R(y,x * z,u)) = R(K(x,R(y,x,z)),(y * x) * z,u). R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). x != K(y,z / (((y \ u) * y) * w)) | x = K(y,z / (u * w)). K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). x != K(y,y \ ((y * z) / u)) | x = K(y,z / u). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). x != K(y,R(z,u,w)) * ((z * u) * w) | x = (z * (K(y,z) * u)) * w. (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. (K(x,y) * z) * T(y * x,z) = (x * y) * z. x != (K(y,z) * u) * T(z * y,u) | x = (z * y) * (K(y,z) * u). (x * y) * z = (y * x) * (K(x,y) * z). (x * y) * (K(y,x) * z) = (y * x) * z. L(x,K(y,z),z * y) = x. (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. x != (y * z) * (K(z,y) * u) | x = K(z,y) * ((y * z) * u). (x * y) * z = K(x,y) * ((y * x) * z). K(x,y) * ((y * x) * z) = (x * y) * z. L(x,T(y,z),z) = L(x,y,z). L(x,y * z,K(z,y)) = x. x != L(L(y,z,u),u * z,K(z,u)) | x = (z * u) \ (u * (T(z,u) * y)). L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). L(x,T(y,z) * z,K(z,y)) = x. x != y | x = L(y,z * u,K(u,z)). L(x,T(y,z),z) = L(L(x,y,z),u * w,K(w,u)). L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). x != L(T(y,z),T(u / T(y,w),y),y) | x = L(T(y,z),y \ u,y). L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). x != L(y \ 1,T(z,y),y) | x = (z * y) \ z. L(x \ 1,y,x) = (y * x) \ y. (x * y) * L(z,x,y) = y * (T(x,y) * z). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y,T(z,y)) != u | L(x,y,z) = u. L(x,y,y \ z) = L(x,y,z / y). L(x,y,z / y) = L(x,y,y \ z). L(x,y,z \ y) = L(x,y,y * (z \ 1)). L(x,y,y * (z \ 1)) = L(x,y,z \ y). L(x \ 1,x,y) * z = L(x \ 1,y,x) * z. L(x \ 1,y,x) * z = L(x \ 1,x,y) * z. x != L(y \ z,y,u / y) | x = u \ ((u / y) * z). L(x \ y,x,x \ z) = z \ ((z / x) * y). x * L(y,z,z \ x) = (x / z) * (z * y). L(x,y * z,(y * (1 / (u * y))) / (y * z)) = L(x,y * z,(z \ (1 / y)) / u). L(x,y,y \ z) != u | L(x,y,z / y) = u. (x * R(y,z,y)) \ ((y * x) * y) != u | L(T(y,x),z,y) = u. (x * y) \ (K(x,y) * z) = (y * x) \ z. K(x \ y,x) * (y * z) = ((x \ y) * x) * z. (x * y) \ (T(x,y) * z) = (y * x) \ (x * z). (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). (x * (T(y,x) * z)) / L(z,y,x) = y * x. x * y != (x / z) * (z * x) | y = x. L(x,y,y \ x) = x. x \ ((x / y) * (y * z)) != u | u = L(z,y,y \ x). x \ ((x / y) * (y * z)) != u | L(z,y,y \ x) = u. L(x * y,x,y) = x * y. x * (L(y \ 1,z,y) * u) = x * (L(y \ 1,y,z) * u). (((x \ y) * x) * (x \ 1)) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). L(x,T(y,z),z) != u | u = L(x,y,z). L(x,T(y,z),z) != u | L(x,y,z) = u. L(T(x,y),z,T(x,u)) != w | L(T(x,y),z,x) = w. x != K(y,y \ (z \ (y * u))) | x = K(y,z \ u). K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). L(x \ y,x,x) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). ((1 / x) * y) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). ((1 / x) * y) / (x / y) = (x \ y) * (y / x). 1 / ((x / y) * (y \ x)) = (x \ y) * (y / x). 1 * x != 1 / ((y / z) * (z \ y)) | x = (y \ z) * (z / y). (x / y) \ ((y \ x) \ 1) = (x \ y) * (y / x). ((x \ y) * (y / x)) * z = (x * (y \ (y \ x))) \ z. (x * (y \ (y \ x))) \ z = ((x \ y) * (y / x)) * z. T(R(x,y,z),u / R(x,y,z)) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). x != T(y,z / y) | x = T(y,y \ z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). (R(x,y,z) \ u) \ u = R(T(x,x \ u),y,z). R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). x != R(T(y,y \ z),u,w) | x = R((y \ z) \ z,u,w). (R(x,y,z) \ u) \ u = R((x \ u) \ u,y,z). R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. R(T(x,y),z,u) = (R(x,z,u) \ (x * y)) \ (x * y). (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). (x * y) \ (x * (R(x,z,u) * y)) = R(T(x,R(x,z,u) * y),z,u). R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). x != (y * z) \ (y * (u * z)) | x = L(T(u,z),z,y). R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). x != L(R(T(y,z),u,w),z,y) | x = R(T(y,y * z),u,w). R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). K(x * y,R(x,z,u)) = K(R(x,z,u) * y,R(x,z,u)). K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). x != K(y * z,R(y,u,w)) | x = K(z * y,R(y,u,w)). K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). K(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). x != (y \ ((y * z) / y)) \ z | x = (y \ z) \ T(z,y). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). R((x \ y) \ T(y,x),z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(T(x * K(x \ u,x),u),y,z). R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(L(x,x \ y,x),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). (x * (y * (z \ (y / z)))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). (x * (y * (z \ (y / z)))) * K(z \ y,z) = x * ((y * (1 / z)) * ((z \ 1) * y)). x != (y * (z * (u \ (z / u)))) * K(u \ z,u) | x = y * ((z / u) * (u \ z)). x * ((y * (1 / z)) * ((z \ 1) * y)) = x * ((y / z) * (z \ y)). x * (y * (z \ (z \ y))) = x * ((y / z) * (z \ y)). x * ((y / z) * (z \ y)) = x * (y * (z \ (z \ y))). x * (y \ (y \ x)) = (x / y) * (y \ x). (x / y) * (y \ x) = x * (y \ (y \ x)). (x \ y) * (y / x) = y * (x \ (x \ y)). x != (y \ z) * (z / y) | x = (z * (y \ 1)) * ((1 / y) * z). x * (y \ (y \ x)) = (x * (y \ 1)) * ((1 / y) * x). (x * (y \ 1)) * ((1 / y) * x) = x * (y \ (y \ x)). (x * (y \ (y \ x))) \ ((y \ x) * ((x / y) * z)) != u | L(z,x / y,y \ x) = u. (x * (y \ (y \ x))) \ z = (y * (x \ (x \ y))) * z. (x * (y \ (y \ x))) \ z = (y / x) * (((1 / y) * x) \ z). (x / y) * (((1 / x) * y) \ z) = (y * (x \ (x \ y))) \ z. x != (y * (z \ (z \ y))) \ u | x = (z * (y \ (y \ z))) * u. (x / y) * (((1 / x) * y) \ z) = (x * (y \ (y \ x))) * z. (x / (y / x)) * (((x \ y) / x) \ z) = (x * ((y / x) \ ((y / x) \ x))) * z. (x * ((y / x) \ ((y / x) \ x))) * z = (x / (y / x)) * (((x \ y) / x) \ z). (x * ((y / x) \ ((y / x) \ x))) * z = (x * (x / y)) * (((x \ y) / x) \ z). L(x,y / z,z \ y) = (z * (y \ (y \ z))) * ((z \ y) * ((y / z) * x)). (x * (y \ (y \ x))) * ((x \ y) * ((y / x) * z)) = L(z,y / x,x \ y). ((K(x,y) * z) * K(y,x)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). x != T(y,K(z,u)) * K(w,z) | x = T(y * K(w,z),K(z,u)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). x != (K(y,z) * (K(z,u) * w)) * (K(z,y) * K(u,z)) | x = w * K(K(y,z) * K(z,u),w). T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). T(T(x,K(y,z)),K(y,u)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). x != (K(y,T(z,u)) * K(z,w)) \ v5 | x = K(z,T(y,u)) * (K(w,z) * v5). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). x != K(y,y \ 1) * (z * ((u \ y) * (1 / y))) | x = z * (u \ 1). ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = (x \ z) * (x \ 1). ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = x \ (z / x). ((((x \ 1) \ ((1 / (1 / y)) * z)) \ x) \ 1) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). (x * (K(y \ z,z \ y) / (u * x))) * w = x * (1 / ((w \ (K(y \ z,z \ y) * u)) * x)). x * (1 / ((y \ (K(z \ u,u \ z) * w)) * x)) = (x * (K(z \ u,u \ z) / (w * x))) * y. (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). K(x,y) = R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z). R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). R(K(x,y),L(y,z,u),w) = K(x,y). x != R(K(y / (z / u),w),y,u) | x = K((y * u) / z,w). K(L(x,y,z) / (u / w),x) = K((L(x,y,z) * w) / u,x). K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). x != K(L(y,z,u) / w,y) | x = K(w \ L(y,z,u),y). K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). x != K((L(y,z,u) * w) / v5,y) | x = K((((L(y,z,u) \ v5) \ w) \ w) \ w,y). K((x / y) \ L(z,u,w),z) = K((((L(z,u,w) \ x) \ y) \ y) \ y,z). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)). x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). ((((x \ 1) \ (((y \ 1) \ 1) * z)) \ x) \ 1) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). ((((((x \ 1) \ 1) * y) \ z) * (1 / z)) \ 1) \ (1 / u) = (x * (z * (((z \ y) \ 1) \ 1))) \ (1 / u). ((1 / x) \ (((((y \ 1) \ 1) * z) \ x) \ 1)) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). (x * (((x \ (((y \ 1) \ 1) * z)) \ 1) \ 1)) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). (K(x,y) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. K(x,y) * (K(z,y) * u) = (K(z,y) * K(x,y)) * u. (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). ((x * y) / x) \ (y * (K(x,y) * z)) = L(z,T(y,u) \ ((x * y) / x),T(y,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). x != ((y * z) / y) \ (z * u) | x = K(z,y) * u. L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). x != K(y,z) * (K(z,y) * u) | x = u. L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. L(x,K(y,z) * K(u,z),T(z,u)) = x. K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). ((x \ 1) \ K(y,z)) \ ((x * (K(y,z) * (u / x))) * x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). ((x \ y) \ 1) * L((y * (x \ 1)) \ y,z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). ((x \ y) \ 1) * L(y * ((x \ y) \ 1),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). x != (y \ 1) * L(z * (y \ 1),u,w) | x = y \ L(z / y,u,w). (x \ 1) * (((y \ 1) \ 1) * L((y \ 1) \ 1,z,u)) = (y \ x) \ L(x / (y \ x),z,u). (x \ y) \ L(y / (x \ y),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). (x \ y) \ L(x,z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). (x \ 1) * (((y \ 1) \ 1) * L((y \ 1) \ 1,z,u)) = (y \ x) \ L(y,z,u). (x \ 1) * ((y \ 1) \ L(1 / (y \ 1),z,u)) = (y \ x) \ L(y,z,u). (x \ 1) * ((y \ 1) \ L(y,z,u)) = (y \ x) \ L(y,z,u). (x \ 1) * (y * L(y,z,u)) = (y \ x) \ L(y,z,u). (1 / (x * L(x,y,z))) / (u \ 1) = 1 / ((x \ u) \ L(x,y,z)). x * ((y \ x) \ L(y,z,u)) = L(y * L(y,z,u),x,x). x != y * ((z \ y) \ L(z,u,w)) | x = ((y * z) \ y) \ L((1 / 1) \ L(z,y,y),u,w). L(x * L(x,y,z),u,u) = ((u * x) \ u) \ L((1 / 1) \ L(x,u,u),y,z). ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = L(y * L(y,z,u),x,x). ((x \ y) * (y \ 1)) \ (L(x,z,u) * y) = L(x * L(x,z,u),y,y) * y. (x \ (L(x,y,z) \ 1)) / (u \ 1) = 1 / ((x \ u) \ L(x,y,z)). (1 / (x \ (L(x,y,z) \ 1))) \ u = 1 / ((x \ u) \ L(x,y,z)). ((1 / 1) \ (L(x,y,z) * x)) \ u = 1 / ((x \ u) \ L(x,y,z)). (1 \ (L(x,y,z) * x)) \ u = 1 / ((x \ u) \ L(x,y,z)). 1 / ((x \ y) \ L(x,z,u)) = (1 \ (L(x,z,u) * x)) \ y. 1 / ((x \ y) \ L(x,z,u)) = (1 \ (x * L(x,z,u))) \ y. 1 / ((x \ y) \ L(x,z,u)) = (x * L(x,z,u)) \ y. (1 / L(x,y,z)) * (x \ u) = (x * L(x,y,z)) \ u. (x \ 1) * (((x * L(x,y,z)) \ 1) \ u) = ((1 / L(x,y,z)) \ (u / x)) * x. (x \ 1) \ (L(x,y,z) * u) = L(x * L(x,y,z),u,u) * u. L(x * L(x,y,z),u,u) * u = (x \ 1) \ (L(x,y,z) * u). (1 / (x * L(x,y,z))) \ u = (x \ 1) \ (L(x,y,z) * u). (x \ (L(x,y,z) \ 1)) \ u = (x \ 1) \ (L(x,y,z) * u). ((x * y) \ x) \ L(1 \ L(y,x,x),z,u) = L(y * L(y,z,u),x,x). ((x * y) \ x) \ L(L(y,x,x),z,u) = L(y * L(y,z,u),x,x). x != ((y * z) \ y) \ L(L(z,y,y),u,w) | x = L(z,y,y) * L(L(z,y,y),u,w). L(x * L(x,y,z),u,u) = L(x,u,u) * L(L(x,u,u),y,z). L(x,y,y) * L(L(x,y,y),z,u) = L(x * L(x,z,u),y,y). (x \ 1) * L(y * L(y,z,u),x,x) = (x \ y) * L(y,z,u). x \ (y * L(y,z,u)) = (x \ y) * L(y,z,u). (x \ ((1 / x) \ (y * L(y,z,u)))) / x = y * (L(y,z,u) / x). x \ (y \ (z \ (z / y))) = (x \ (1 / y)) * L(1 / y,z,z). (x \ (1 / y)) * L(1 / y,z,z) = x \ (y \ (z \ (z / y))). x * (x \ (y \ (x \ (x / y)))) = x / (y * (((y \ 1) \ 1) * x)). x / (y * (((y \ 1) \ 1) * x)) = x * (x \ (y \ (x \ (x / y)))). L(x * L(x,y,z),u,u) / u = x * (L(x,y,z) / u). (x * (L(x,y,z) / u)) * u = L(x * L(x,y,z),u,u). x / (y * (((y \ 1) \ 1) * x)) = y \ (x \ (x / y)). (x \ 1) * ((x \ (L(x,y,z) \ 1)) \ u) = ((1 / L(x,y,z)) \ (u / x)) * x. (x \ 1) * ((x \ 1) \ (L(x,y,z) * u)) = ((1 / L(x,y,z)) \ (u / x)) * x. ((1 / L(x,y,z)) \ (u / x)) * x = L(x,y,z) * u. x != ((1 / y) \ (z / u)) * u | x = (u / y) \ (u * z). L(x,y,z) * u = (x / L(x,y,z)) \ (x * u). (x / L(x,y,z)) \ (x * u) = L(x,y,z) * u. (L(x,y,z) \ x) \ (x * u) = L(x,y,z) * u. L(x,y,z) \ u = x \ ((L(x,y,z) \ x) * u). x \ ((L(x,y,z) \ x) * u) = L(x,y,z) \ u. (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). (L(x,y,z) \ u) \ 1 = x \ ((u / x) \ L(x,y,z)). x \ ((y / x) \ L(x,z,u)) = (L(x,z,u) \ y) \ 1. x != L(y,z,u) * (y \ (L(y,z,u) \ w)) | x = y \ w. (L(x,y,z) \ x) \ (L(x,y,z) \ u) = x \ u. (L(x,y,z) \ x) * (x \ u) = L(x,y,z) \ u. (L(x,y,z) \ x) * u = L(x,y,z) \ (x * u). L(x,y,z) \ (x * u) = (L(x,y,z) \ x) * u. x * ((L(x,y,z) \ u) \ 1) != w | w = (u / x) \ L(x,y,z). x * ((L(x,y,z) \ u) \ 1) != w | (u / x) \ L(x,y,z) = w. (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). K(x * y,T(T(x,z),u)) * K((x \ z) \ z,T(y,u)) = a((x \ z) \ z,y,(x \ z) \ z). a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). x != a((y \ z) \ z,u,(y \ z) \ z) | x = a(y,u,y). K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). x != a(y,z,y) | x = a(y,T(z,u),y). K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,T(y,w),x). a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). K(x * T(y,z),T(x,u)) = T(K(x * y,x) * K(x,K(y,u)),z). T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). x != (L(y,z \ u,z) * u) \ (y * u) | x = a(z,z \ u,T(y,u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). ((x \ 1) \ K(y,z)) \ L((x * K(y,z)) * u,x,x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). x != T(y \ 1,z * y) * L(T(y \ 1,y * z) \ 1,u,w) | x = T(y \ L(y,u,w),z * y). T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). K(x,K(y * z,y \ L(y,u,w))) = K(y \ L(y,u,w),K(z * y,x)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. (((x * y) * (1 / (x * y))) \ z) * K(u,u \ 1) = ((((y \ (x \ 1)) * (x * y)) \ u) * (1 / u)) \ z. ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (((y * x) * (1 / (y * x))) \ u) * K(z,z \ 1). ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y * x,(y * x) \ 1) \ u) * K(z,z \ 1). ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y * x,x \ (y \ 1)) \ u) * K(z,z \ 1). ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(x \ y,y \ x) \ u) * K(z,z \ 1). ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y \ x,x \ y) * u) * K(z,z \ 1). x != (y * z) * K(u,u \ 1) | x = y * (K(u,u \ 1) * z). ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = K(y \ x,x \ y) * (K(z,z \ 1) * u). ((K(x \ y,y \ x) \ z) * (1 / z)) \ u = K(y \ x,x \ y) * (K(z,z \ 1) * u). K((x \ 1) \ y,y \ (x \ 1)) * K(z,z \ 1) = (((x \ z) * (1 / z)) \ y) * (1 / ((x \ 1) \ y)). K(x * y,y \ (x \ 1)) * K(z,z \ 1) = (((x \ z) * (1 / z)) \ y) * (1 / ((x \ 1) \ y)). (((x \ y) * (1 / y)) \ z) * (1 / ((x \ 1) \ z)) = K(x * z,z \ (x \ 1)) * K(y,y \ 1). (((x \ y) * (1 / y)) \ z) * (1 / ((x \ 1) \ z)) = K(z \ x,x \ z) * K(y,y \ 1). (((x \ y) * (1 / y)) \ z) * ((1 / z) * (x \ 1)) = K(z \ x,x \ z) * K(y,y \ 1). x != (((y \ z) * (1 / z)) \ u) * ((1 / w) * v5) | x = ((y \ 1) \ u) * (z * (1 / ((v5 \ w) * z))). K(x \ y,y \ x) * K(z,z \ 1) = ((y \ 1) \ x) * (z * (1 / (((y \ 1) \ x) * z))). ((x \ 1) \ y) * (z * (1 / (((x \ 1) \ y) * z))) = K(y \ x,x \ y) * K(z,z \ 1). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = (z * (((z \ (y / x)) \ 1) \ 1)) * (x * (y \ 1)). (x * y) / ((z * (1 / (u * z))) / (y \ 1)) = (x / ((((u \ z) * (1 / z)) \ y) \ 1)) * (y \ 1). (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (x * u) / ((z * (1 / (y * z))) / (u \ 1)). K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). x != (y * (((y \ z) \ 1) \ 1)) * u | x = y * (1 / ((u \ (1 / z)) * y)). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((x * (y \ 1)) \ (1 / (y / x))) * z)). x != K(L(y,z,u),L(y,z,u) * (w \ v5)) | x = K(L(y,z,u),y * (w \ v5)). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). x != K(L(y,z,u),y * (w \ L(K(y,v5),v6,v7))) | x = K(L(y,z,u),w \ y). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). (x * K(L(y,z,u),w \ y)) \ x = K(w \ L(y,z,u),L(y,z,u)). K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(T(y * K(y * x,y),x),z,u). L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). L(R(x,y,x),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. x * R(y,z,y) = x * R(y,z,L(y,x,u)). x * R(y,z,L(y,x,u)) = x * R(y,z,y). R(x,y,x) = R(x,y,L(x,z,u)). R(x,y,L(x,z,u)) = R(x,y,x). x != R(y,z,y) | x = T(y * K(z * y,y),z). R(x,y,L(x,z,u)) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). (x * T(y,z)) \ (x * R(y,z,y)) = K(z * L(y,u,w),y). K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). x != (y * T(z,u)) \ (y * R(z,u,z)) | x = K(z * u,z). K(x * L(y,z,u),y) = K(y * x,y). K(x \ L(y,z,u),y) = K(y * (x \ 1),y). x != K(y * z,y) | x = K(z,y) * a(y,z,y). K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). K(x * (L(x,y,z) \ u),x) = K(u,x). x != K(y * (z \ (y \ u)),y) | x = K(z \ u,y). K(x \ y,x) = K(L(x,z,u) \ y,x). K(L(x,y,z) \ u,x) = K(x \ u,x). K(x / L(y,z,u),y) = K(y \ x,y). K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). K(x \ L(y,z,u),y) = K(x \ y,y). K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). x != K((y \ z) \ L(u,w,v5),u) | x = K(z \ (y * L(u,w,v5)),u). K((x \ y) \ z,z) = K(y \ (x * L(z,u,w)),z). K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. a(x,y,L(x,z,u)) = a(x,y,x). (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). x != K((((y * z) \ y) \ 1) \ u,z) | x = K(u * ((y * z) \ y),z). K(x \ y,x) = K(y * ((z * x) \ z),x). K(x * ((y * z) \ y),z) = K(z \ x,z). K(x * (y \ z),z \ y) = K((z \ y) \ x,z \ y). K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). x != K(y * (z \ u),u \ z) | x = K(y * (u / z),u \ z). K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). x != K(y \ (z * (u * w)),w) | x = K(y \ (z * (w * u)),w). K(x * (y \ (z * u)),x) = K(y \ (z * (x * u)),x). K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). x != K(y \ (z * (u * w)),u) | x = K(((z \ y) \ w) * u,L(u,w,z)). K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,u,z)). K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). x != y * K(y * (z / u),z \ u) | x = ((1 / (u \ z)) \ y) * (1 / (u \ z)). ((x \ y) \ z) * (x \ y) = ((1 / (y \ x)) \ z) * (1 / (y \ x)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). x != K(y * ((z * y) \ u),y) | x = K(z \ u,y). K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). x != K((y * z) \ (u \ (y * ((z * w) * u))),u) | x = K(L(w,u * z,y),u). K((x * y) \ (x * (y * z)),u) = K(L(z,u * y,x),u). K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). K(L(x,y * z,u),y) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). L(K(x,y),z,u) = K(x,L(y,z,u)). K(L(x,y,z),u) = K(x,L(u,y * x,z)). K(x,L(y,z * x,u)) = K(L(x,z,u),y). x != K(y,z) | x = K(z,y) \ 1. L(K(x,y),z,u) = K(L(y,z,u),x) \ 1. K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). x * a(y,z,K(u,x)) = T(x,L(u,z,y)) * K(u,x). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). L(K(x,y),z,u) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(L(x,z,u),y). K(L(x,y,z),u) = K(x,L(u,y,z)). x != K(L(y,z,u),w) | x = K(y,L(w,z * y,u)). K(x,L(y,z,u)) = K(x,L(y,z * x,u)). K(x,L(y,z * x,u)) = K(x,L(y,z,u)). L(L(x,y \ 1,L(z,y,y)),z / y,K(z,L(u,y,y))) = L(x,1 / y,T(L(z,y,y),u)). K(x * y,z) = K(x * y,L(z,x,y)). K(x * y,L(z,x,y)) = K(x * y,z). K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). x != K(y,z) * K(L(z,u,w),y) | x = a(w,u * z,K(y,z)). a(x,y,K(z,u)) = a(x,y * u,K(z,u)). a(x,y * z,K(u,z)) = a(x,y,K(u,z)). x * a(y,z,K(u,x)) = (u * x) / T(u,L(x,z,y)). (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). T(x * y,L(z,y,x)) = T(x * y,z). (x * (y * z)) / T(x * y,z) = L(z,y,x). L(x,y,z) = (z * (y * x)) / T(z * y,x). L(x,K(y,T(z,x)),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). ((x \ y) \ z) * (x \ y) = (((y \ x) \ 1) \ z) * ((y \ x) \ 1). (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = ((y \ x) \ z) * (y \ x). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). 1 / (((x \ y) \ z) * (x \ y)) = (y \ x) / (((y \ x) \ 1) \ z). (x \ y) / (((x \ y) \ 1) \ z) = 1 / (((y \ x) \ z) * (y \ x)). (x \ y) * (1 / ((x \ y) * z)) = 1 / (((y \ x) \ z) * (y \ x)). 1 / (((x \ y) \ z) * (x \ y)) = (y \ x) * (1 / ((y \ x) * z)). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). x != K((y / z) \ u,L(z,w,v5)) | x = K((y \ u) * z,L(z,w,v5)). K(((x \ y) / z) \ y,z) = K(((x \ y) \ y) * z,L(z,x \ y,x)). K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != y / L(K(z,u),w,v5) | x = y * L(K(u,z),w,v5). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. (L(x,y,z) * K(u,x)) * u = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. x != (y * K(z,u)) * z | x = y * T(z,u). (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). x != y \ (z * T(y,u)) | x = T(z * K(y,u),y). (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(T(x * K(x * u,x),u),y,z). R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). x != R(y,z,L(y,u,w)) | x = R(y,z,y). R(R(x,y,x),z,u) = R(R(x,z,u),y,R(x,z,u)). R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). R(R(x,y,x),z,u) * (z * u) = (R(x,y,R(x,z,u)) * z) * u. (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. (R(T(x,y),z,R(x,u,w)) * u) * w = (R(T(x,y),z,T(x,y)) * u) * w. (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). K(x,y) \ (y * a(z,u,K(x,y))) = L(K(x,y),u,z) \ T(y,K(x,y)). L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). x != K((y \ z) \ u,L(y,w,v5)) | x = K((z \ u) * y,L(y,w,v5)). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). K(L(x,y,z),u) * K(u,x) = x \ (x * a(z,y,K(x \ u,x))). x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). x != K(y,L(z,u,w)) * K(z,y) | x = a(w,u,K(z,y)). x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). a(x,y,K(z,u)) = a(x,y,K(u \ z,u)). a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) != w | w = a(x,y,K(u \ z,u)). a(x,y,K(z,u)) != w | a(x,y,K(u \ z,u)) = w. a(x,y,K(z,u)) = a(x,y,K(u * z,u)). a(x,y,K(z * u,z)) = a(x,y,K(u,z)). a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). a(x,y,K(z,u)) = a(x,y,K(z * u,u)). a(x,y,K(z * u,u)) = a(x,y,K(z,u)). a(x,y,K(z,u \ w)) = a(x,y,K(w \ u,z)). a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). a(x,y,K(z,z * u)) = a(x,y,K(z,u)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). a(x,y,K(z,u)) = a(x,y,K(z,z \ u)). a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). x != K(((y \ z) \ u) * w,L(w,u,y)) | x = K(w * (z \ (y * u)),w). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,z \ y,z)). K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). x != K(((y \ z) \ z) * u,L(u,y \ z,y)) | x = K(((y \ z) / u) \ z,u). K(x * (y \ (z * y)),x) = K(((z \ y) / x) \ y,x). K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,1 / y,T(L(z,y,y),u)). L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,1 / y,L(T(z,u),y,y)). x != L(y,1 / z,u) | x = L(y,z \ 1,u). L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,y \ 1,L(T(z,u),y,y)). x != K(y,z) \ (z * u) | x = T(z,y) * u. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((y / x) * (1 * (1 / (y / x)))) * z)). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((y / x) * (1 / (y / x))) * z)). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (K(y / x,(y / x) \ 1) * z)). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (K(x \ y,y \ x) * z)). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * ((1 / z) * K(x \ y,y \ x)). T((x * K(y,x)) * (K(y,x) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). T(x * K(y,x),x \ K(x,y)) \ T(x,z) = T(x,z) * T(x \ K(x,y),(x \ K(x,y)) \ 1). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),x) = ((x \ 1) \ K(z,x)) \ T(x,y). ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). (x \ K(x,y)) * T(x,z) = ((x \ 1) \ K(y,x)) \ T(x,z). ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). T(L(T(x,K(y,z)),K(y,z),K(u,y)),K(u,y)) = R(T(x,K(u,y) * K(y,z)),K(u,y),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). x != R(y,K(z,u),K(u,w)) | x = y. T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). T(T(x,K(y,z)),K(y,u)) = x * K(x,K(y,z) * K(u,y)). x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). x != T(T(y,K(z,u)),K(z,w)) | x = y * K(K(w,z) * K(z,u),y). T(x,K(y,z) * K(u,y)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). T(T(x,R(K(y,z),u,w)),K(z,v5)) = T(x,K(z,v5) * K(R(y,u / y,w),z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,u) * K(w,z)). T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. x * y != T(x,K(z,u) * K(w,z)) | y = K(K(w,z) * K(z,u),x). K(x,K(y,z) * K(u,y)) = K(K(z,y) * K(y,u),x). K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). x != K(K(y,z) * K(u,y),w) | x = K(w,K(z,y) * K(y,u)). K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. K(K(x,y) * K(y,z),u) = K(u,K(y,x)) * K(u,K(y,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). x != K(K(y,z) * K(z,u),w) | x = K(w,K(z,y) * K(u,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). K(x,K(y,z)) * K(x,R(K(y,u),w,v5)) = K(K(z,y) * K(y,(w * v5) / ((u \ w) * v5)),x). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). x != K(y,K(z,u) * K(w,z)) | x = K(K(z,u) * K(w,z),y). K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). x != K(y,K(z,R(u,w,w \ y))) * K(y,K(z,u)) | x = a(K(v5,v6),v7,v7 \ v5). K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,v5),v6,v6 \ w). x != K(y,K(z,u)) * w | x = K(u,v5) * (K(z,K(u,y)) * (K(u,v5) \ w)). K(x,K(y,z) * K(u,y)) = K(z,w) * (K(y,K(z,x)) * (K(z,w) \ K(x,K(y,u)))). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). x != K(y,K(z,u) * K(w,z)) | x = K(y,K(u,z) * K(z,w)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). x != a(y,K(z,z \ 1),u) | x = 1. K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. x != T(T(y,K(z,u)),K(u,w)) | x = T(y,K(z,u) * K(u,w)). T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(x,K(y,z) * K(z,R(y,u,w))). x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). K(x,K(y,z) * K(z,R(y,u,w))) = K(x,K(y,R(z,u,w)) * K(z,y)). K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). x != T(y,K(z,u) * K(w,z)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,R(u,w,v5)) * K(z,y)). T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(x * K(y,w),K(y,z) * K(u,y)). K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(K(u,z) * K(z,w),y). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). x * ((x \ y) * (L(z,x,x) * (1 / T(z \ (y \ x),x)))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(z / (z / u),w,v5)). ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),R(x / (x / y),z,y)). T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y,R(z / (z / u),w,u)) | x = T(y,z / (z / u)). ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),x / (x / y)). T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y * K(z,u),u / (u / z)) | x = ((u * z) / u) \ (y * z). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). x != ((y * z) / y) \ (z * u) | x = T(z,y) * (z \ u). ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),T(x,w),y). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). x != L(y,z,u) * L(L(y,z,u) \ 1,w,v5) | x = L(y * L(y \ 1,w,v5),z,u). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). K(x,K((y * z) * u,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). x != L(y,z,u / (1 / w)) | x = L(y,z,(u \ 1) \ w). L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u / (1 / (y / z)),(u \ 1) \ (y / z)). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). x != K(R(y,z,u),w * K(v5,y)) | x = K(R(y,z,u),w). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (x * L(y,x,y)) / T(T(x,L(y,z,u)),y) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). x != (y * L(z,u,z)) / T(T(y,z),w) | x = K(w,y) * L(z,u,z). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). x != K(y,z) * L(y,u,y) | x = L(T(y,z),u,y). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). x != T(y,z * y) * a(u,w,K(z,y)) | x = L(K(z * y,y),w,u) \ T(y,K(z * y,y)). L(T(x,L(y,z,u)),y,x) = L(K(y * x,x),z,u) \ T(x,K(y * x,x)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ y = L(T(y,L(x,z,u)),x,y). L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). x != L(y,z / (1 / u),w) | x = L(y,(z \ 1) \ u,w). L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,(u \ 1) \ (y / z),(u \ 1) \ (y / z)). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). x != (1 / y) * R(y,z,u) | x = y \ R(y,z,u). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). x != T(a(y,z,u),y) | x = a(y,z,u). (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = a(x,y,z). a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. a(x,y,z) = (a(x,y,z) \ 1) \ 1. (a(x,y,z) \ 1) \ 1 = a(x,y,z). 1 / a(x,y,z) = a(x,y,z) \ 1. T(a(x,y,z),u) = ((a(x,y,z) \ 1) * u) \ u. ((a(x,y,z) \ 1) * u) \ u = T(a(x,y,z),u). (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). (a(x,y,z) \ 1) \ 1 != u | u = a(x,y,z). (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. a(x,y,R(x,z,u)) = a(R(x,z,u),y,x). a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. x != a(T(y,z),T(y,z) \ z,u) | x = (z * L(u,y \ T(z,y),y)) \ (z * u). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (y * L(R(T(x,y),z,u),x \ T(y,x),x)) \ (y * R(T(x,y),z,u)). (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). ((x \ y) / T(1 / z,y \ x)) * (1 / ((1 / y) * x)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). ((x \ y) / T(1 / z,y \ x)) * (((x \ y) \ 1) \ 1) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). x != (y / z) * ((y \ 1) \ 1) | x = 1 / ((y \ z) / y). (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = 1 / (((y \ x) \ T(1 / z,x \ y)) / (y \ x)). 1 / (((x \ y) \ T(1 / z,y \ x)) / (x \ y)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). 1 / (((x \ y) * T(1 / z,x \ y)) * (x \ y)) = (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1). 1 / (((1 / x) * (y \ z)) * (y \ z)) = (1 / ((1 / y) * z)) * ((x \ ((1 / y) * z)) \ 1). (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = 1 / (((1 / z) * (x \ y)) * (x \ y)). x != 1 / ((y * z) * z) | x = z \ (z \ (1 / y)). (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (x \ y) \ ((x \ y) \ (1 / (1 / z))). (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (x \ y) \ ((x \ y) \ ((z \ 1) \ 1)). x != y \ (y \ ((z \ 1) \ 1)) | x = (1 / y) * ((z \ y) \ 1). (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (1 / (x \ y)) * ((z \ (x \ y)) \ 1). (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = ((1 / y) * x) * ((z \ (x \ y)) \ 1). (((x \ y) \ 1) \ 1) * ((z \ ((1 / y) * x)) \ 1) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). (((x \ y) \ 1) \ 1) * ((x \ y) * ((z \ 1) \ 1)) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). x != ((y \ 1) \ 1) * (y * z) | x = y * (((y \ 1) \ 1) * z). ((1 / x) * y) * ((z \ (y \ x)) \ 1) = (x \ y) * ((((x \ y) \ 1) \ 1) * ((z \ 1) \ 1)). (x \ y) * ((((x \ y) \ 1) \ 1) * ((z \ 1) \ 1)) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). (x \ y) * ((z \ ((x \ y) \ 1)) \ 1) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). ((1 / x) * y) * ((z \ (y \ x)) \ 1) = (x \ y) * ((z \ ((x \ y) \ 1)) \ 1). T((x \ y) * ((z \ ((x \ y) \ 1)) \ 1),(1 / x) * y) = (z \ (y \ x)) \ ((1 / x) * y). T((x \ y) * ((z \ ((x \ y) \ 1)) \ 1),x \ y) = (z \ (y \ x)) \ ((1 / x) * y). (x \ ((y \ z) \ 1)) \ (y \ z) = (x \ (z \ y)) \ ((1 / y) * z). x != (y \ (z \ 1)) \ z | x = (z / (1 / y)) * z. (x \ (y \ z)) \ ((1 / z) * y) = ((z \ y) / (1 / x)) * (z \ y). x != ((y \ 1) \ (z \ u)) \ ((1 / u) * z) | x = (z \ u) \ (1 / ((z \ u) * y)). ((x \ y) / (1 / (z \ 1))) * (x \ y) = (y \ x) \ (1 / ((y \ x) * z)). (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (((y \ x) / (1 / z)) * (y \ x)) \ 1. ((x \ y) / z) * (x \ y) = (y \ x) \ (1 / ((y \ x) * z)). (x \ y) \ (1 / ((x \ y) * z)) = ((y \ x) / z) * (y \ x). (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (y \ x) \ (((y \ x) / (1 / z)) \ 1). (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (y \ x) \ ((1 / z) * ((y \ x) \ 1)). (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = ((y \ x) \ 1) * ((1 / z) / (y \ x)). x != (y \ 1) * ((1 / z) / y) | x = 1 / (y * (z * y)). (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = 1 / ((y \ x) * (z * (y \ x))). (1 / ((x \ y) / z)) \ (x \ y) = 1 / ((y \ x) * (z * (y \ x))). 1 / ((x \ y) * (z * (x \ y))) = (1 / ((y \ x) / z)) \ (y \ x). x != (1 / (y / z)) \ y | x = y / (y \ z). 1 / ((x \ y) * (z * (x \ y))) = (y \ x) / ((y \ x) \ z). ((x \ y) / ((x \ y) \ z)) \ 1 = (y \ x) * (z * (y \ x)). ((x \ y) \ z) * ((x \ y) \ 1) = (y \ x) * (z * (y \ x)). (x \ y) * (z * (x \ y)) = (y \ x) \ (z / (y \ x)). (x \ y) \ (z / (x \ y)) = (y \ x) * (z * (y \ x)). x != (y \ z) \ (u / (y \ z)) | x = ((1 / z) * y) * (u * ((1 / z) * y)). (x \ y) * (z * (x \ y)) = ((1 / x) * y) * (z * ((1 / x) * y)). ((1 / x) * y) * (z * ((1 / x) * y)) = (x \ y) * (z * (x \ y)). x != (y \ z) \ ((u * z) / (y \ z)) | x = ((y \ z) \ u) * L(y,y,z * y). (x \ y) * ((z * x) * (x \ y)) = ((y \ x) \ z) * L(y,y,x * y). ((x \ y) \ z) * L(x,x,y * x) = (y \ x) * ((z * y) * (y \ x)). (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (y \ ((x \ 1) \ 1)) * (z * (y \ ((x \ 1) \ 1))). ((((x \ y) \ 1) * (1 / z)) * (((1 / y) * x) \ 1)) \ K(u,w) = ((1 / (((1 / y) * x) * z)) \ (x \ y)) * K(u,w). T(x * (y \ 1),K(z,z \ K(u,w))) = (K(z,z \ K(u,w)) * x) * (y \ K(z,z \ K(u,w))). (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = T(u * (w \ 1),K(x,x \ K(y,z))). x != T(y,K(z,z \ u)) | x = T(y,K(z,u)). (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = T(u * (w \ 1),K(x,K(y,z))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). x != T(y,R(z \ K(u,u \ 1),w,v5)) | x = T(y,R(z \ 1,w,v5)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). x != T(y,R((z \ 1) \ 1,u,w)) | x = T(y,R(z,u,w)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(z \ 1,u),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). (1 / (x * (1 / ((y \ (1 / z)) * x)))) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). (x * (((x \ y) \ 1) \ 1)) \ ((1 / ((y \ x) * (1 / x))) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). x \ (K(x * (1 / (y * x)),y) / z) = 1 / (((1 / (z * (x * (1 / (y * x))))) \ y) * x). 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (K(y * (1 / (z * y)),z) / x). 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (K(z,z \ 1) / x). 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (z * (1 / (x * z))). (K(x,x \ 1) * y) \ (x * (1 / (((1 / (z * (x * (1 / (y * x))))) \ y) * x))) = (x * (1 / (y * x))) / z. (K(x,x \ 1) * y) \ (x * (x \ (y * (1 / (z * y))))) = (x * (1 / (y * x))) / z. (K(x,x \ 1) * y) \ (y * (1 / (z * y))) = (x * (1 / (y * x))) / z. x != (K(y,y \ 1) * z) \ u | x = K(y,y \ 1) * (z \ u). (x * (1 / (y * x))) / z = K(x,x \ 1) * (y \ (y * (1 / (z * y)))). K(x,x \ 1) * (y \ (y * (1 / (z * y)))) = (x * (1 / (y * x))) / z. K(x,x \ 1) * (1 / (y * z)) = (x * (1 / (z * x))) / y. K(x,x \ 1) / (y * z) = (x * (1 / (z * x))) / y. (x * (1 / (y * x))) / z = K(x,x \ 1) / (z * y). (x * (1 / (y * x))) / z = x * (1 / ((z * y) * x)). x \ ((x * (1 / (y * x))) * (((x * (1 / (y * x))) \ z) * L(u,x * (1 / (y * x)),x * (1 / (y * x))))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). x != (y * (1 / (((z * z) \ u) * y))) / z | x = (y * (((y \ u) \ 1) \ 1)) \ z. x * (1 / ((y * ((y * y) \ z)) * x)) = (x * (((x \ z) \ 1) \ 1)) \ y. x != (y * (1 / (z * y))) / (y \ (u \ (y * (1 / (z * y))))) | x = (u * (1 / (z / y))) / (y * (1 / (z * y))). x * (1 / (((x \ (y \ (x * (1 / (z * x))))) * z) * x)) = (y * (1 / (z / x))) / (x * (1 / (z * x))). ((x * (y \ 1)) * ((y / x) / z)) / u = (x * (y \ 1)) * (1 / ((u * z) * (x * (y \ 1)))). (x * (y \ 1)) * (1 / ((z * u) * (x * (y \ 1)))) = ((x * (y \ 1)) * ((y / x) / u)) / z. (((1 / x) * y) * (1 / (1 / ((y \ x) / z)))) / u = ((1 / x) * y) * (1 / ((u * ((z \ 1) \ 1)) * ((1 / x) * y))). ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * (1 / (1 / ((y \ x) / u)))) / z. (x * (1 / (K(y \ z,z \ y) * x))) / (u * w) = x * (1 / ((u * (w * K(y \ z,z \ y))) * x)). L(x,y * z,y * (1 / (((y * z) * u) * y))) = L(x,y * z,(z \ (1 / y)) / u). (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (x * u) / (z * (1 / (((u \ 1) * y) * z))). x * (1 / (((y \ 1) * z) * x)) = (x * (((x \ z) \ 1) \ 1)) \ y. (x * (((x \ y) \ 1) \ 1)) \ z = x * (1 / (((z \ 1) * y) * x)). x != (y * (((y \ (((z \ 1) \ 1) * u)) \ 1) \ 1)) \ (1 / w) | x = (z * (y * (((y \ u) \ 1) \ 1))) \ (1 / w). x * (1 / ((((1 / y) \ 1) * (((z \ 1) \ 1) * u)) * x)) = (z * (x * (((x \ u) \ 1) \ 1))) \ (1 / y). (x \ (1 / y)) \ ((x \ 1) * (z * (((z \ u) \ 1) \ 1))) = (y * x) / (z * (1 / (((x \ 1) * u) * z))). (x * (((x \ (L(y \ 1,z,u) / x)) \ 1) \ 1)) \ y = x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)). x != L(y,z,u * (1 / w)) | x = L(y,z,u * (w \ 1)). L(x,y * z,(z \ (1 / y)) / u) = L(x,y * z,y * ((((y * z) * u) * y) \ 1)). L(x,y * z,y * ((((y * z) * u) * y) \ 1)) = L(x,y * z,(z \ (1 / y)) / u). L(x,y * z,y * (y \ (((y * z) * u) \ 1))) = L(x,y * z,(z \ (1 / y)) / u). L(x,y * z,y * (y \ (u \ ((y * z) \ 1)))) = L(x,y * z,(z \ (1 / y)) / u). L(x,y * z,y * (y \ (u \ (z \ (y \ 1))))) = L(x,y * z,(z \ (1 / y)) / u). L(x,y * z,u \ (z \ (y \ 1))) = L(x,y * z,(z \ (1 / y)) / u). L(x,y * z,(z \ (1 / y)) / u) = L(x,y * z,u \ (z \ (y \ 1))). x != L(y,z,(u \ (1 / w)) / v5) | x = L(y,z,(w * u) \ (v5 \ 1)). L(x,y * z,u \ (z \ (y \ 1))) = L(x,y * z,(y * z) \ (u \ 1)). L(x,y * z,(y * z) \ (u \ 1)) = L(x,y * z,u \ (z \ (y \ 1))). (x * (y \ 1)) * (1 / ((z * y) * (x * (y \ 1)))) = ((y \ x) * (1 / x)) / z. x != ((y \ z) * (1 / z)) / u | x = y \ (z * (1 / (u * z))). (x * (y \ 1)) * (1 / ((z * y) * (x * (y \ 1)))) = y \ (x * (1 / (z * x))). (x * (y \ 1)) * ((y / x) / (z * y)) = y \ (x * (1 / (z * x))). x \ (y * (1 / (z * y))) = K(y \ x,x \ y) / (z * x). K(x \ y,y \ x) / (z * y) = y \ (x * (1 / (z * x))). K(x \ y,y \ x) / (z * x) = x \ (y * (1 / (z * y))). (x * ((1 / x) * K(y \ z,z \ y))) / (u * w) = x * (1 / ((u * (w * K(y \ z,z \ y))) * x)). x * (1 / ((y * (((z \ 1) \ 1) * u)) * x)) = (z * (x * (((x \ u) \ 1) \ 1))) \ (1 / y). (x * (y * (((y \ z) \ 1) \ 1))) \ (1 / u) = y * (1 / ((u * (((x \ 1) \ 1) * z)) * y)). (x \ (1 / y)) \ (((z \ x) \ u) * (1 / u)) = (y * x) / (u * (1 / (((x \ 1) * z) * u))). (x * y) / (z * (1 / (((y \ 1) * u) * z))) = (y \ (1 / x)) \ (((u \ y) \ z) * (1 / z)). (x * ((L(y \ 1,z,u) \ x) \ (1 / x))) \ y = x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)). x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (x * ((L(y \ 1,z,u) \ x) \ (1 / x))) \ y. x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (x * (x \ (L(1 / y,z,u) / x))) \ y. x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (L(1 / y,z,u) / x) \ y. x * (1 / L(y \ L(1 / y,z,u),x,x)) = (L(1 / y,z,u) / x) \ y. x * (x \ (x / (y \ L(1 / y,z,u)))) = (L(1 / y,z,u) / x) \ y. (L(1 / x,y,z) / u) \ x = u / (x \ L(1 / x,y,z)). x / (y \ L(1 / y,z,u)) = (L(1 / y,z,u) / x) \ y. ((L(1 / x,y,z) / u) \ x) * (x \ 1) = (u * x) / (x * L(x \ 1,y,z)). (L(1 / x,y,z) / u) \ 1 = (u * x) / (x * L(x \ 1,y,z)). (x * y) / (y * L(y \ 1,z,u)) = (L(1 / y,z,u) / x) \ 1. (x * y) / (y * L(y \ 1,z,u)) = x * (L(1 / y,z,u) \ 1). x * (1 / (((((1 / y) * z) * (x \ 1)) \ ((1 / y) * z)) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). x != ((y \ z) \ z) \ R((y \ z) \ z,u,R(y,w,v5)) | x = a(y,u,R(y,w,v5)). x \ (y \ ((R(x,z,R(x,u,w)) * (x \ y)) * x)) = a(x,K(x,v5) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). x != y \ R(y,z,R(y,u,w)) | x = a(y,z,R(y,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). x != a(T(y,z),T(y,z) \ u,R(y,w,v5)) | x = a(y,y \ u,R(y,w,v5)). a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). x != (y \ (z \ 1)) * (u * (y \ (z \ 1))) | x = (z * y) \ (u / (z * y)). (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = ((x \ 1) * y) \ (z / ((x \ 1) * y)). ((((x \ y) \ 1) * (1 / z)) * (x \ y)) \ K(u,w) = ((1 / (((1 / y) * x) * z)) \ (x \ y)) * K(u,w). (1 / (((x \ y) \ z) * (x \ y))) \ K(u,w) = ((1 / (((1 / y) * x) * z)) \ (x \ y)) * K(u,w). ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = (1 / (((y \ x) \ z) * (y \ x))) \ K(u,w). ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (1 / ((x \ y) * z))) \ K(u,w). x != (y * (1 / (y * z))) \ K(u,w) | x = (y * (z * (1 / y))) * K(u,w). ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (z * (1 / (x \ y)))) * K(u,w). ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (z * ((1 / y) * x))) * K(u,w). ((((x \ (y \ z)) \ 1) \ 1) \ (y \ z)) * K(u,w) = ((z \ y) * (x * ((1 / y) * z))) * K(u,w). (((x \ y) \ z) * (x \ y)) * K(u,w) = ((y \ x) * (z * ((1 / x) * y))) * K(u,w). ((x \ y) * (z * ((1 / y) * x))) * K(u,w) = (((y \ x) \ z) * (y \ x)) * K(u,w). (x \ y) * (z * ((1 / y) * x)) = ((y \ x) \ z) * (y \ x). (((x / y) * z) \ x) * (1 * ((1 / x) * ((x / y) * z))) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). (((x / y) * z) \ x) * ((1 / x) * ((x / y) * z)) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). x != (y \ z) * ((1 / z) * y) | x = K(z \ y,y \ z). (x \ ((y / x) \ z)) * (x \ ((x / z) * y)) = K(x \ ((x / z) * y),((x / z) * y) \ x). K(x \ ((x / y) * z),((x / y) * z) \ x) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). K(x \ ((x / y) * z),x \ ((z / x) \ y)) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). x != (y \ ((z / y) \ u)) * (y \ ((y / u) * z)) | x = K(y \ ((z / y) \ u),y \ ((y / u) * z)). K(x \ ((x / y) * z),x \ ((z / x) \ y)) = K(x \ ((z / x) \ y),x \ ((x / y) * z)). K(x \ ((y / x) \ z),x \ ((x / z) * y)) = K(x \ ((x / z) * y),x \ ((y / x) \ z)). K(x \ ((x / y) * z),x \ ((z / x) \ y)) / (x \ ((x / y) * z)) = T((x \ ((x / y) * z)) \ 1,1). x != K(y,K(z,u)) * (K(y,z) * w) | x = K(y,T(z,u)) * w. T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). ((((x \ (1 / y)) * z) \ 1) \ (1 / z)) * ((x \ (1 / y)) \ 1) = (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))). (x * (((x \ y) \ 1) \ 1)) \ (((x * (1 / (1 * x))) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * ((((y \ x) / u) \ 1) \ 1)) / z. x * (1 / ((((1 / y) * z) * ((x \ ((1 / y) * z)) \ 1)) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). x != T(y,y * K(z,u)) \ T(K(u,z) * y,y) | x = K(u,T(z,y)). K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). K(x,y / (z * (x \ u))) = K(x,T((z * u) \ (y * x),z * u)). K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). x != R(K(y,(z / (u / w)) \ y),w \ u,w) | x = K(y,u / ((y \ z) * w)). K(x,y / ((z * (x \ u)) * w)) = K(x,y / ((x \ (z * u)) * w)). K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). x != K(y,(z * u) / ((w * (y \ z)) * u)) | x = R(K(y,w \ y),z,u). K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,y),z,u) = K(x,R(y \ x,z,u) \ x). K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). R(K(x,x * y),z,u) = K(x,R(y \ 1,z,u) \ x). K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). x != K(y,R(z \ 1,u,w) \ v5) | x = K(y,R(1 / z,u,w) \ v5). R(K(x,x * y),z,u) = K(x,R(1 / y,z,u) \ x). K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). R(R(K(x,y),z,u),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). ((x \ ((y \ (1 / z)) \ 1)) \ (1 / x)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). (x * (((x \ y) \ 1) \ 1)) \ (((x * (1 / x)) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). (x * (((x \ y) \ 1) \ 1)) \ ((K(x,x \ 1) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). (x * (((x \ y) \ 1) \ 1)) \ ((K(x,x \ 1) * y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). (x * (((x \ y) \ 1) \ 1)) \ (K(x,x \ 1) * (y \ z)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). K(x,x \ 1) * ((x * (((x \ y) \ 1) \ 1)) \ (y \ z)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). K(x,x \ 1) * (x * (1 / ((((y \ z) \ 1) * y) * x))) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). T(x,x \ 1) * (1 / ((((y \ z) \ 1) * y) * x)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). x != T(y,y \ z) * (1 / (u * y)) | x = K(z,y \ 1) / u. ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = K(1,y \ 1) / (((x \ z) \ 1) * x). ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = 1 / (((x \ z) \ 1) * x). x != 1 / (((y \ z) \ 1) * y) | x = (y \ 1) * ((y \ 1) * z). ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = (x \ 1) * ((x \ 1) * z). ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * ((u * ((y \ x) \ 1)) \ 1)) / z. x * (1 / ((((1 / y) * z) * ((z \ y) * ((x \ 1) \ 1))) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). ((x \ (y * ((z \ 1) \ 1))) \ (1 / x)) * ((z \ (1 / y)) \ 1) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * (((y \ x) \ 1) \ (u \ 1))) / z. (((x * ((y \ 1) \ 1)) \ z) * (1 / z)) * ((y \ (1 / x)) \ 1) = (y \ (1 / x)) * (1 / (y \ (z * (1 / (x * z))))). ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (K(x \ y,y \ x) * (u \ 1)) / z. ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (u \ K(y \ x,x \ y)) / z. (x * (((x \ ((y \ 1) / z)) \ 1) \ 1)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). (x * (((x \ (y \ (1 / z))) \ 1) \ 1)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). (x * (((x \ (y \ (1 / z))) \ 1) \ 1)) * (z * ((y \ 1) \ 1)) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * (1 / (((y * ((x \ 1) \ 1)) \ (1 / (x \ (1 / y)))) * z)). x * (1 / (((y * ((z \ 1) \ 1)) \ (1 / (z \ (1 / y)))) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). x * (1 / (((y * ((z \ 1) \ 1)) \ ((1 / (1 / y)) * z)) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). x * (1 / (((y * ((z \ 1) \ 1)) \ (((y \ 1) \ 1) * z)) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). x * (1 / (K(y \ z,z \ y) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * (1 / (K(y \ x,x \ y) * z)). (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * ((1 / z) * K(x \ y,y \ x)). (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * (K(x \ y,y \ x) / z). (x \ (1 / y)) * ((1 / (z * (1 / (y * z)))) * x) = z * (K(x \ y,y \ x) / z). (x \ (1 / y)) * ((((y * z) \ 1) \ (1 / z)) * x) = z * (K(x \ y,y \ x) / z). (x \ (1 / y)) * (((z \ (y \ 1)) \ (1 / z)) * x) = z * (K(x \ y,y \ x) / z). (x \ (1 / y)) * ((((y \ 1) \ z) * (1 / z)) * x) = z * (K(x \ y,y \ x) / z). (x \ (1 / y)) * ((z * (((z \ y) \ 1) \ 1)) * x) = z * (K(x \ y,y \ x) / z). (x \ (1 / y)) * (z * (1 / ((x \ (1 / y)) * z))) = z * (K(x \ y,y \ x) / z). K(x \ (y \ (1 / z)),(y \ (1 / z)) \ x) = x * (K(y \ z,z \ y) / x). K((x * y) * z,((y \ (1 / x)) \ z) \ 1) = z * (K(y \ x,x \ y) / z). K((x * y) * z,z \ (y \ (1 / x))) = z * (K(y \ x,x \ y) / z). x != K(y,z \ (u \ (1 / w))) | x = K(y,z \ (u \ (w \ 1))). x * (K(y \ z,z \ y) / x) = K((z * y) * x,x \ (y \ (z \ 1))). K((x * y) * z,z \ (y \ (x \ 1))) = z * (K(y \ x,x \ y) / z). T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). x != ((L(y,z,z \ 1) \ (z * y)) \ 1) \ 1 | x = ((z \ 1) * (z * y)) \ (z * y). R(T(x,y),x \ 1,y * x) = ((x \ 1) * (x * y)) \ (x * y). ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (((T(x,x \ 1) / y) / z) / T(x,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). (x \ T((T(x,x \ 1) / y) / z,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). x != (y \ z) \ T(y,u) | x = (z \ y) * T(y,u). ((x \ 1) \ y) * L(z,x,x) = (T((T(x,x \ 1) / z) / y,x \ 1) \ x) * T(x,x \ 1). (T((T(x,x \ 1) / y) / z,x \ 1) \ x) * T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). x != y * T(z,z \ 1) | x = T((z \ 1) \ y,z). ((x \ 1) \ y) * L(z,x,x) = T((x \ 1) \ (T((T(x,x \ 1) / z) / y,x \ 1) \ x),x). T((x \ 1) \ (T((T(x,x \ 1) / y) / z,x \ 1) \ x),x) = ((x \ 1) \ z) * L(y,x,x). T(x * ((T((T(x,x \ 1) / y) / z,x \ 1) \ 1) * x),x) = ((x \ 1) \ z) * L(y,x,x). T(x * (x * (((T(x,x \ 1) / y) / z) \ 1)),x) = ((x \ 1) \ z) * L(y,x,x). T(x * (x * (y * ((T(x,x \ 1) / z) \ 1))),x) = ((x \ 1) \ y) * L(z,x,x). T(x * (x * (y * (z * (T(x,x \ 1) \ 1)))),x) = ((x \ 1) \ y) * L(z,x,x). T(x * (x * (y * (z * (1 / x)))),x) = ((x \ 1) \ y) * L(z,x,x). T(T((x * y) * z,x \ 1),x) = ((x \ 1) \ y) * L(z,x,x). T(T((x * y) * z,x),x \ 1) = ((x \ 1) \ y) * L(z,x,x). x * y != T(T(z,u),u \ 1) | x \ L(z,u,u) = y. ((x \ 1) \ y) \ L((x * y) * z,x,x) = L(z,x,x). x != ((y \ 1) \ K(z,u)) \ L((y * K(z,u)) * w,y,y) | x = L(w,K(u,z) * (y \ 1),K(u,z) * (y \ 1)). L(x,y,y) = L(x,K(z,u) * (y \ 1),K(z,u) * (y \ 1)). L(x,K(y,z) * (u \ 1),K(y,z) * (u \ 1)) = L(x,u,u). x != L(y,z * (u \ 1),z * (u \ 1)) | x = L(y,z \ u,z \ u). L(x,y,y) = L(x,K(z,u) \ y,K(z,u) \ y). L(x,K(y,z) \ u,K(y,z) \ u) = L(x,u,u). L(x,K(y,z) * u,K(z,y) \ u) = L(x,u,u). L(x,K(y,z) * u,K(y,z) * u) = L(x,u,u). L(x,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). x != (K(y,z) * K(u,z)) * w | x = K(u,z) * (K(y,z) * w). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(z,y) * (K(y,z) * (K(y,u) * x))). K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). K(x,y) * (K(y,x) * z) = L(z,K(y,u) * K(y,x),K(u,y) * K(x,y)). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * (y \ (((y * z) * u) / y)). L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * (z * (u * (y \ 1))). x != (y * ((z / u) / w)) * (w * (u * (z \ 1))) | x = L(y,(z / u) \ w,(z / u) \ w). L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = L(x,(y / u) \ z,(y / u) \ z). L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (1 / z)) \ ((((z \ 1) \ 1) / y) \ x). L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (1 / z)) \ (((z \ 1) \ (1 / y)) \ x). x != (y * (1 / z)) \ (((z \ 1) \ (1 / y)) \ u) | x = L(u,y * (1 / z),y * (1 / z)). L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = L(x,y * (1 / z),y * (1 / z)). L(x,y \ ((z \ 1) \ 1),y \ ((z \ 1) \ 1)) = L(x,y * (1 / z),y * (1 / z)). L(x,(y \ 1) * z,(y \ 1) * z) = L(x,z * (1 / y),z * (1 / y)). L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = ((y * (z \ u)) * K(z,u)) \ (((z / u) / y) \ x). L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = (y * (u * (z \ 1))) \ (((z / u) / y) \ x). x != (y * (z * (u \ 1))) \ (((u / z) / y) \ w) | x = L(w,y \ (u / z),y \ (u / z)). L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = L(x,y \ (z / u),y \ (z / u)). x != L(y,z \ K(u,w),z \ K(u,w)) | x = L(y,K(w,u) * z,K(w,u) * z). L(x,y \ (z / u),y \ (z / u)) = L(x,K(z,u) * (y * (z \ u)),K(z,u) * (y * (z \ u))). L(x,K(y,z) * (u * (y \ z)),K(y,z) * (u * (y \ z))) = L(x,u \ (y / z),u \ (y / z)). x != L(y,K(z,u) * w,K(z,u) * w) | x = L(y,w,w). L(x,y \ (z / u),y \ (z / u)) = L(x,y * (z \ u),y * (z \ u)). x != L(y,(z \ 1) \ (u / w),(z \ 1) \ (u / w)) | x = L(y,(u / w) * L(z,u \ w,u \ w),(1 / (u / w)) \ z). L(x,(y \ 1) * (z \ u),(y \ 1) * (z \ u)) = L(x,(z / u) * L(y,z \ u,z \ u),(1 / (z / u)) \ y). L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,(u \ 1) * (y \ z),(u \ 1) * (y \ z)). x != L(y,z \ u,z \ u) | x = L(y,u \ z,u \ z). L(x,y * (z \ u),y * (z \ u)) = L(x,(z / u) \ y,(z / u) \ y). L(x,(y / z) \ u,(y / z) \ u) = L(x,u * (y \ z),u * (y \ z)). L(T(x,y),z,u) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). x != L(T(y,z),u,w) \ (L(y,u,w) * v5) | x = K(z,L(y,u,w)) * v5. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). x != K(y,z) * (y * u) | x = T(y,z) * u. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). x != T(y * z,L(u,z,y)) | x = T(y * z,u). T(x,L(y,z,u)) * K(y,w) = T(x * K(y,w),L(T(y,x),z,u)). T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). x != T(y * K(z,u),L(T(z,y),w,v5)) | x = T(y * K(z,u),L(z,w,v5)). T(x,L(y,z,u)) * K(y,w) = T(x * K(y,w),L(y,z,u)). T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). x != T(y,L(z,u,w)) * K(z,y) | x = y * a(w,u,K(z,y)). T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). x != L(T(y,L(z,u,w)),z,y) | x = T(y,L(z * y,u,w)). T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). x != K(y,K(z,L(u,w,K(y,v5)))) | x = K(z,K(y,u)). K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(z,u \ (z \ w))) | x = K(y,K(z,u \ w)). K(x,K(y * z,a(y,z,u))) = K(x,K(y * z,u \ L(u,z,y))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). x != a(y,T(y,z) \ u,R(y,w,v5)) | x = a(y,y \ u,R(y,w,v5)). a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). x != a(y,y \ z,R(T(y,z),u,w)) | x = a(R(y,u,w),R(y,u,w) \ z,T(R(y,u,w),z)). a(x,x \ y,R(x,z,u)) = a(R(x,z,u),R(x,z,u) \ y,T(R(x,z,u),y)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). x * a(y,y \ (z * y),R(y,u,w)) = (x / R(y,u,w)) * R(R(y,z,y),u,w). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). x != (y / R(z,u,w)) * R(R(z,v5,z),u,w) | x = y * a(R(z,u,w),v5,L(R(z,u,w),v6,v7)). x * a(y,z,R(y,u,w)) = x * a(R(y,u,w),z,L(R(y,u,w),v5,v6)). x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). x != a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)) | x = a(y,y \ w,R(y,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). R(a(x,y,x),z,u) = a(x,y,R(x,x \ z,u)). a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). x * R(a(x,y,x),z,u) = R(x,y,R(x,x \ z,u)). R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,x \ u,w)). R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != R(T(y,z),u,R(T(y,z),w,v5)) | x = R(T(y,z),u,R(y,w,v5)). T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). x != a(y,z \ u,w) * K(z,u) | x = K(z,u) * a(y,z \ u,w). K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,R(x,y,z)). K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != T(y,z) * R(a(y,u,y),w,v5) | x = R(T(y,z),u,R(y,y \ w,v5)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. K(x,T(y / z,T(u,z))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). x != y / K(z,T(u,w)) | x = y * K(u,T(z,w)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). x != R(y,z,K(z,u)) | x = y. K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). x != (y * z) \ T(z * y,u) | x = K(z,y) * K(z * y,u). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). x != K(y,K(z,u)) * K(y,K(u,w)) | x = K(y,K(z,u) * K(u,w)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). x != (y * z) \ K(u,z * y) | x = T(y * z,T(u,y)) \ 1. K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,u) * K(y,x),T(z,K(x,u))) \ 1. T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). x != T(K(y,z) * K(z,u),w) \ 1 | x = T(K(z,y) * K(u,z),w). K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). T(K(x,y) * K(z,x),u) * w = K(x,T(y,u)) * (K(z,T(x,u)) * w). K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. x != K(y,T(z,u)) * (K(z * R(y,w,v5),T(y,u)) * v6) | x = R(T(y,u),z,R(y,w,v5)) * (T(y,u) \ v6). T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). a(x,y,R(x,z,u)) * w = R(T(x,v5),y,R(x,z,u)) * (T(x,v5) \ w). R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (x * a(y,z,y)) * u = (R(a(y,z,y),x,u) * x) * u. (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. x * y != (R(a(z,u,z),w,v5) * w) * v5 | x \ ((w * a(z,u,z)) * v5) = y. ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). K(x,T(a(y,z,y),u)) = a(R(a(y,z,y),x,u),x,u). a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). x != K(y,a(z,u,z)) | x = 1. a(R(a(x,y,x),z,u),z,u) = 1. L(x,y,R(a(z,u,z),y,x)) = x. (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). a(x,y,x) * z = z * R(a(x,y,x),z,u). x * R(a(y,z,y),x,u) = a(y,z,y) * x. x * y != a(z,u,z) * x | y = a(z,u,z). R(a(x,y,x),z,u) = a(x,y,x). a(x,y,x) = ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w). ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). x != R(a(y,z,y),y * u,w) | x = a(y,z,R(y,u,w)). a(x,y,x) = a(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = a(x,y,x). x != R(a(y,z * K(u,z),y),z * K(u,z),u) | x = L(a(y,z,y),z,u). a(x,y * K(z,y),x) = L(a(x,y,x),y,z). a(x,y,x) * (z * u) = (a(x,y,x) * z) * u. (a(x,y,x) * z) * u = a(x,y,x) * (z * u). L(a(x,y,x),z,u) = a(x,y,x). L(x,y,a(z,u,z)) = x. R(x,a(y,z,y),a(y,z,y) \ 1) = x. x != y | x = T(y,a(z,u,z)). L(x,y,a(z,u,z)) = T(x,a(w,v5,w)). T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). (a(x,y,x) * z) / u = a(x,y,x) * (z / u). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,L(u,z,a(x,y,x)),w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). K(x,y) * a(x,x \ y,x) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). (x * y) * a(z,u,z) = x * (y * a(z,u,z)). R(x,a(y,z,y),y \ L(y,z,y)) = x. L(x,y,a(z,u,z)) != w | w = x. R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. a(x,L(y * K(z,y),u,w),x) = L(a(x,L(y,u,w),x),L(y,u,w),z). L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). a(a(x,y,x) * z,u,w) = (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). L(x,y,a(z,u,z) * w) = (a(z,u,z) * (w * y)) \ ((a(z,u,z) * w) * (y * x)). (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) != v5 | a(x,a(y,z,y) * u,w) = v5. (x * a(y,z,y)) * u = a(y,z,y) * (x * u). R(x,y,a(z,u,z)) = x. L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). x != a(y,z,y) * (z * u) | x = z * (a(y,z,y) * u). (x * a(y,x,y)) * z = x * (a(y,x,y) * z). T(x,y * a(z,u,z)) = T(x,y). T(x,y * a(z,u,z)) != w | w = T(x,y). T(x,y * a(z,u,z)) != w | T(x,y) = w. T(x,y) = T(x,a(z,u,z) \ y). T(x,a(y,z,y) \ u) = T(x,u). T(x,a(y,z,y) \ u) = x * K(x,u). K(x,a(y,z,y) \ u) = K(x,u). K(x,y) = K(x,a(z,u,z) * y). K(x,a(y,z,y) * u) = K(x,u). K(x,y * a(z,u,z)) = K(x,y). K(x,y * R(z,u,z)) = K(x,y * z). K(x,K(y,z) * u) = K(x,K(y,y * z) * u). K(x,K(y,y * z) * u) = K(x,K(y,z) * u). K(x,y * (K(z * u,z) * K(z,u))) = K(x,y). K(x,y * T(z,u)) = K(x,y * T(z,z * u)). K(x,y * T(z,z * u)) = K(x,y * T(z,u)). K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). K(x,(y * K(z * u,z)) * K(z,u)) = K(x,y). K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). K(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). K(x,y * K(z,u)) = K(x,y * K(z,z * u)). K(x,y * K(z,z * u)) = K(x,y * K(z,u)). K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). 1 / K(x,y * K(z,u)) = K(y * K(u,z \ 1),x). K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). x != K(y,z) * a(y,y \ z,y) | x = K(y,y \ z). K(x,R(x,y,z) \ u) = K(x,x \ u). K(x,y \ x) = K(x,x \ ((x * R(T(x,z),u,w)) / y)). K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). x != K(y,K(z \ u,z) * w) | x = K(y,K(u,z) * w). K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. K(x * K(y,z \ 1),u) = K(x * K(z,y),u). K(x * K(x \ y,z),T(u,y)) != w | K(((z * (y \ x)) / z) * y,u) = w. K(x,y \ x) = K(x,R(T(x,z),u,w) / y). K(x,R(T(x,y),z,u) / w) = K(x,w \ x). K(x,y \ R(x,z,u)) = K(x,y \ x). x != K(y,(z \ u) \ R(y,w,v5)) | x = K(y,u \ (z * R(y,w,v5))). K(x,(y \ z) \ x) = K(x,z \ (y * R(x,u,w))). K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). x != K(y,z \ ((u * w) * R(y,u,w))) | x = K(y,z \ ((y * u) * w)). K(x,x * (y \ (z * u))) = K(x,y \ ((x * z) * u)). K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). x != K(y,z \ ((y * (u / y)) * w)) | x = K(y,z \ (u * w)). K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). K(x,x * (y \ (z * u))) = K(x,y \ ((z * x) * u)). K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). x != L(a(y,L(z,u,w),y),L(z,u,w),w * u) | x = (w * (u * z)) \ (w * (u * (T(y * z,y) / y))). a(x,L(y * K(z * u,y),u,z),x) = (z * (u * y)) \ (z * (u * (T(x * y,x) / x))). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). ((a(x,y,x) * z) * u) / (z * u) = a(x,R(y,y \ z,u),x). a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). a(x,R(y,z,u),x) = R(a(x,y,x),y * z,u). R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). x != R(a(y,z,y),u,w) | x = a(y,z,y). a(x,R(y,z,u),x) = a(x,y,x). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). a(x,y,x) * T(x,z) = R(T(x,z),R(y,u,w),x). R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). x != a(y,z,y) * T(y,u) | x = R(T(y,u),z,y). R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). x != (y / z) \ (a(z,u,z) \ y) | x = L(z,u,z). L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). x != (y * R(z,u,z)) \ ((z * y) * z) | x = L(T(z,y),u,T(z,w)). T(x,x * R(y,z,u)) = L(T(x,R(y,z,u)),y,T(x,w)). L(T(x,R(y,z,u)),y,T(x,w)) = T(x,x * R(y,z,u)). K(x,(y * K(z,u)) \ w) = K(x,(K(u \ K(u,y),z) * y) \ w). K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). x != K(y,K(z,u)) * K(z,z * (y \ u)) | x = K(z,z * (u / y)). K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). K(R(x,y,z),u \ x) = K(x,x * ((y * z) / ((u * y) * z))). K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). x != K(y,y * ((z * u) / ((w * z) * u))) | x = K(y,R(w,z,u) \ y). K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). x != K(R(y,z,u),R(y / w,w,L(K(v5,y),v6,v7)) \ y) | x = K(R(y,z,u),w). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). x != K(y,R(R(y / z,u,w),v5,v6) \ y) | x = R(R(K(y,z),u,w),v5,v6). K(R(x,y,z),u) = R(R(K(x,u),u,L(K(w,x),v5,v6)),y,z). R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). R(K(x,y),z,u) = K(R(x,z,u),y). R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). K(x,R(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,R(y,z,u)). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. x != R(K(y,z),u,w) | x = K(R(y,u,w),z). K(x,R(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,R(u,y,z)). x != R(K(y,y * z),z * u,w) | x = K(y,y * R(z,u,w)). K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). K(x,R(x * y,z,u)) = K(R(x,y,z),R(x * y,y * z,u)). K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). L(x,y,a(z,u,z) * w) = L(x,y,w). L(x,y,z) = L(x,y,a(u,w,u) \ z). L(x,y,a(z,u,z) \ w) = L(x,y,w). L(x,y,T(z * u,z)) = L(x,y,u * z). L(x,y,K(z * u,z)) = L(x,y,K(u,z)). L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). L(x,y,L(z,u,z)) = L(x,y,z). L(x,y,L(z,u,u)) = L(x,y,z). L(x,y,(z \ 1) \ u) = L(x,y,z * u). L(x,y,T(z,z * u)) = L(x,y,T(z,u)). L(x,y,z \ u) = L(x,y,(z \ 1) * u). L(x,y,(z \ 1) * u) = L(x,y,z \ u). L(x,y,(1 / z) \ u) = L(x,y,z * u). L(x,y,T(z,u)) = L(x,y,T(z,z \ u)). L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). L(x,y,(z \ (u \ w)) * v5) = L(x,y,(((1 / w) * u) * z) \ v5). L(x,y,(((1 / z) * u) * w) \ v5) = L(x,y,(w \ (u \ z)) * v5). x != L(y,z,T(u,u \ w)) | x = L(y,z,(u \ w) \ w). L(x,y,T(z,u)) = L(x,y,(z \ u) \ u). L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). x != (a(y,z,y) * u) / w | x = a(y,z,y) * (u / w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). x != a(y,z / u,y) | x = a(y,u \ z,y). L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). x != L(a(y,z,y),u,w) | x = a(y,z,y). a(x,L(y,z,u),x) = a(x,y,x). a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). a(x,a(y,z,u),x) = a(x,L(u,z,y) \ u,x). a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). x * a(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = x * a(x,y,x). x != y * a(y,z,y) | x = R(y,z,y). R(x,L(y,z,u),x) = R(x,y,x). x != a(y,((z * u) * w) \ (z * (u * (w * K(v5,v5 \ 1)))),y) | x = a(y,K(v5,v5 \ 1) / a(z,u,w),y). a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). a(x,a(y,z,u),x) \ x = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. x != a(y,z,y) \ y | x = L(y,z,y). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). a(a(x,y,x) * z,u,w) = a(z,u,w). a(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(K(x * y,x),z,u) = a(K(y,x),z,u). a(x / a(y,z,y),u,w) = a(x,u,w). a(K(x,y),z,u) = a(K(y \ x,y),z,u). a(K(x \ y,x),z,u) = a(K(y,x),z,u). a(K(x,y \ 1),z,u) = a(K(y,x),z,u). a(K(x,y),z,u) = a(K(y \ 1,x),z,u). a(K(x \ 1,y),z,u) = a(K(y,x),z,u). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). a(K(R(x,y * z,u) \ 1,y),w,v5) = a(R(K(y,x),(x * y) * z,u),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). x != a(K(y,z \ 1),u,w) | x = a(K(z,y),u,w). a(K(x,R(y,z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). x != a(K(y \ 1,z),u,w) | x = a(K(z,y),u,w). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). x != a(K(R(y,z,u),w),v5,v6) | x = a(K(y,R(w,z,u)),v5,v6). a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(K(y \ 1,z) * u) \ 1) = K(x,(L(K(z,y),u,K(z,y)) * u) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). x != K(y,(K(z,u) * w) \ 1) | x = K(y,w \ K(u,z)). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u \ 1)) != w | K(x,y \ K(u,z)) = w. a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). x != a(y,z * K(u,u \ 1),w) | x = a(y,z,w). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,w \ L(w,u,z),x). a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y \ L(y,z,u),x) = a(x,a(u,z,y) \ K(w,w \ 1),x). a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). x != y / (z * ((u * z) \ u)) | x = (z * ((u * z) \ u)) \ y. ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). x != (y \ (1 / ((z * y) \ z))) * T(y,u) | x = T((1 / ((z * y) \ z)) * K(y,u),y). (x * ((y * x) \ y)) \ T(x,z) = T((1 / ((y * x) \ y)) * K(x,z),x). T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). x != T(T(1 / ((y * z) \ y),u),z) | x = T(1 / ((y * z) \ y),u). (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). x != (y * ((z * y) \ z)) \ T(y,u) | x = 1 / ((z * T(y,u)) \ z). T(1 / ((x * y) \ x),z) = 1 / ((x * T(y,z)) \ x). 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). K(x,((y * T(z,u)) \ y) * x) = K(x,T(((y * z) \ y) * x,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). x != K(y,y * ((z * u) \ z)) | x = K(y,u \ y). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). x != K(y,T(z,u) \ y) | x = K(y,T(z \ y,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). K(x,T((y \ z) * x,u)) = K(x,T((z \ y) \ x,u)). K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). x != K(y,T((z \ u) * y,u)) | x = K(y,T((z \ u) * y,z)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,y)). K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). x != K(y,T(y * ((z \ u) \ u),w)) | x = K(y,T(y * T(z,u),w)). K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). K(x,T(y * x,z)) = K(x,(z / (z * y)) \ x). K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). x != K(T(y,z),u \ T(y,w)) | x = K(y,T(u \ T(T(y,v5),w),z)). K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ T(T(x,w),y),y)). K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). x != K(y,T(z \ T(T(y,u),w),v5)) | x = K(y,T(z \ y,v5)). K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). x != K(y,T(T(z * T(y,u),w),v5)) | x = K(y,T(T(y * z,w),v5)). K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). x != K(y,T((z / (u * z)) \ y,u)) | x = K(y,R(1 / (1 / (1 / u)),u,z) \ y). K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). x != K(y,R(1 / z,u,w) \ v5) | x = K(y,R(z \ 1,u,w) \ v5). K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). x != K(y,R(1 / z,u,w) \ y) | x = R(K(y,y * z),u,w). K(x,T(x * T(y,z),z)) = R(K(x,x * y),y,z). R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). x != R(R(K(y,z),u,w),y * v5,v6) | x = R(K(R(y,v5,v6),z),u,w). K(R(x,y,z),T(x * T(u,w),w)) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). x != K(R(y,z,u),(w / v5) \ y) | x = K(R(y,z,u),y * (v5 / w)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). x != K(R(y,z,u),T(y * T(w,v5),v5)) | x = R(K(R(y,z,u),y * w),w,v5). K(R(x,y,z),x * u) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). x != K(R(y,z,u),w) | x = K(y,R(w,z,u)). K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). x != K(y,R(R(y * z,z * u,w),z,u)) | x = K(y,R(y * z,u,w)). K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). x != K(y,R(y * z,z * u,w)) | x = K(y,y * R(z,u,w)). K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). T(x,x * R(y,z,u)) = K(x,R(x * y,z,u)) * x. K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). x != T(y,y * R(z,u,w)) | x = L(T(y,R(z,u,w)),z,T(y,v5)). T(x,R(x * y,z,u)) = L(T(x,R(y,z,u)),y,T(x,w)). L(T(x,R(y,z,u)),y,T(x,w)) = T(x,R(x * y,z,u)). L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,y \ R(y,z,y),y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). x != R(y,z \ R(z,u,z),z \ L(z,u,z)) | x = y. (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). (x \ L(x,y,x)) * x = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. x != (y \ L(y,z,u)) * y | x = L(y,z,u). K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). x != K(y \ (z \ y),u) * T(u,T(z \ u,y)) | x = L(u,y \ (z \ y),u). L(x,y \ 1,x) = L(x,z \ (y \ z),x). L(x,y \ (z \ y),x) = L(x,z \ 1,x). L(x,y \ z,x) = L(x,(y / z) \ 1,x). L(x,(y / z) \ 1,x) = L(x,y \ z,x). L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / (1 / y)) \ z) * x). L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * ((((y \ 1) \ 1) \ z) * x). x != ((1 / y) * z) * ((z \ y) * u) | x = T(T(u,z \ y),y \ z). L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = T(T(x,((y \ 1) \ 1) \ z),z \ ((y \ 1) \ 1)). L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = T(T(x,(y \ 1) * z),z \ ((y \ 1) \ 1)). L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) != u | L(x,(y \ 1) * z,(y \ 1) * z) = u. L(x,(y \ 1) * z,(y \ 1) * z) = L(x,y \ z,((y \ z) \ z) * (1 / z)). L(x,y \ z,((y \ z) \ z) * (1 / z)) = L(x,(y \ 1) * z,(y \ 1) * z). x != L(y,z,(u \ w) * (1 / w)) | x = L(y,z,u \ 1). L(x,(y \ 1) * z,(y \ 1) * z) = L(x,y \ z,(y \ z) \ 1). x != L(y,z,z \ 1) | x = L(y,z,z). L(x,(y \ 1) * z,(y \ 1) * z) = L(x,y \ z,y \ z). x != L(y,(z \ 1) * (u \ w),(z \ 1) * (u \ w)) | x = L(y,(u / w) * L(z,u \ w,u \ w),(1 / (u / w)) \ z). L(x,y \ (z \ u),y \ (z \ u)) = L(x,(z / u) * L(y,z \ u,z \ u),(1 / (z / u)) \ y). L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u \ (y \ z),u \ (y \ z)). x != L(y,(z \ 1) * u,(z \ 1) * u) | x = L(y,u * (1 / z),u * (1 / z)). L(x,y \ z,y \ z) = L(x,z * (1 / y),z * (1 / y)). L(x,y * (1 / z),y * (1 / z)) = L(x,z \ y,z \ y). L(x,y * (z \ y),y * (z \ y)) = L(x,y \ (y \ z),y \ (y \ z)). L(x,y \ (y \ z),y \ (y \ z)) = L(x,y * (z \ y),y * (z \ y)). L(x,y \ z,y \ z) = L(x,z * (1 / y),z * (y \ 1)). L(x,y * (1 / z),y * (z \ 1)) = L(x,z \ y,z \ y). L(x,y \ (y \ z),y \ (y \ z)) != u | L(x,y * (z \ y),y * (z \ y)) = u. L(x,(y / z) \ u,(y / z) \ u) != w | L(x,y * (((y * u) * z) \ y),y * (((y * u) * z) \ y)) = w. L(x,(1 / (y / z)) \ u,(1 / (y / z)) \ u) = L(x,u \ (y \ z),u \ (y \ z)). L(x,y \ (z \ u),y \ (z \ u)) != w | L(x,y * (z / u),y * (z / u)) = w. L(x,y * (((y * z) * u) \ y),y * (((y * z) * u) \ y)) = L(x,z * (y \ u),z * (y \ u)). L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). x != L(y,z / T(1 / u,w),v5) | x = L(y,z / T(u \ 1,w),v5). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T((1 / x) \ 1,z),x). L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). L(T(x,R(x \ y,z,u)),y / T(x,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). x != L(T(y,z),u / T(y,w),y) | x = L(T(y,z),y \ u,y). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). x != L(T(y,R(z,u,w)),z,y) | x = T(y,R(y * z,u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). x != (y * R(K(z,u),w,v5)) * K(u,v6) | x = y / (K(v6,u) * R(K(u,z),w,v5)). x * (K(y,z) * R(K(u,y),w,v5)) = x / (K(z,y) * R(K(y,u),w,v5)). x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((x / y) * z)) * (1 / (u * (x \ ((x / y) * z)))). x != (y \ ((y / z) * u)) * (1 / (w * (y \ ((y / z) * u)))) | x = (y \ ((u / y) \ z)) * ((y \ ((y / z) * u)) / w). K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). K(x \ ((1 / y) * (z / x)),((z / x) \ y) * x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). K(((x / y) \ z) * y,(((x / y) \ z) * y) \ 1) / u = (y \ ((x / y) \ z)) * ((y \ ((y / z) * x)) / u). K(((x / y) \ z) * y,y \ ((z \ 1) * (x / y))) / u = (y \ ((x / y) \ z)) * ((y \ ((y / z) * x)) / u). (x * ((y * (1 / (1 * y))) \ z)) / (u / ((z \ y) * (1 / y))) = (x / ((z \ 1) * (u * K(y,y \ 1)))) * ((z \ y) * (1 / y)). (1 / T(x,(y * z) \ K(u \ w,w \ u))) \ (y * (z * K(u \ w,w \ u))) = (y * (z * K(u \ w,w \ u))) * x. T(((1 / x) * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). x != T(y,z) * L(T(u,y),w,v5) | x = K(y,z) * (L(u,w,v5) * y). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x \ 1,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). x != K(y,K(z,u)) * (y \ w) | x = T(y,K(z,u)) \ w. T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). (x * ((y * (1 / y)) \ z)) / (u / ((z \ y) * (1 / y))) = (x / ((z \ 1) * (u * K(y,y \ 1)))) * ((z \ y) * (1 / y)). (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * ((u * (1 / u)) \ y)) / (z / ((y \ u) * (1 / u))). (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) \ y)) / (z / ((y \ u) * (1 / u))). (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) * y)) / (z / ((y \ u) * (1 / u))). (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) * y)) / ((u * (1 / (z * u))) \ y). x != (y * (K(z,z \ 1) * u)) / w | x = K(z,z \ 1) * ((y * u) / w). (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = K(u,u \ 1) * ((x * y) / ((u * (1 / (z * u))) \ y)). (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = K(z,z \ 1) * ((x * y) / ((z * (1 / (u * z))) \ y)). x != K(y,y \ 1) * (z / ((y * u) \ w)) | x = z / (T(u * y,y \ 1) \ w). (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / (T((1 / (u * z)) * z,z \ 1) \ y). (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / (T(1 / T(u,z),z \ 1) \ y). (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / ((1 / u) \ y). T(((1 / x) / (y \ (1 / z))) / (y \ (1 / z)),y \ (z \ 1)) = (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y). T((1 / ((x \ (1 / y)) * z)) / (x \ (1 / y)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). T(1 / ((x \ (1 / y)) * ((x \ (1 / y)) * z)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). x != K(K(y,z) * R(K(z,u),w,v5),v6) | x = K(K(y,z) * K(z,R(u,w,v5)),v6). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(K(y,x) * K(x,R(y,z,u)),K(x,y) * (z * u)). K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(x * y,K(z,R(u,x,y)) * K(u,z)) = K(a(K(z,u),x,y),((x * y) \ K(u,z)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). x != K(y,K(z,R(u,w,v5)) * K(u,z)) | x = K(y,K(z,u) * K(u,R(z,w,v5))). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). x != K(y * z,K(u,w) * K(w,R(u,y,z))) | x = 1. K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). a(K(x,y),z,u) * w = K(y,x) * (R(K(x,y),z,u) * w). K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. R(K(x,T(y,z)),u,w) * (z * K(y,x)) = (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). K(a(K(x,y),z,u),w) = K(w,K(x,y) * K(R(y,z,u),x)). K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. x != K(y,z) * K(z,R(y,u,w)) | x = a(K(z,y),u,w). a(K(x,y),z * y,u) = a(K(x,y),z,u). K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. x * y != T(z,z \ u) | x \ ((z \ u) \ u) = y. (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). x != K(y,z) * (u * L(y,z,y)) | x = K(y,y * z) * (u * y). R(K(x,y),z,u) * L(x,y,x) = K(x,x * y) * (a(K(x,y),z,u) * x). K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). x != R(K(y,z),u,w) * L(y,v5,y) | x = L(y * R(K(y,z),u,w),v5,y). T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). x != R(K(y,T(z,u)),w,v5) * (u * K(z,y)) | x = u * a(K(y,z),w,v5). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). K(a(K(x,y),z,u),w) * v5 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. x != K(a(K(y,z),u,w),v5) * y | x = y * K(a(K(y,z),u,w),v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). x != K(y,z) * T(u,K(w,R(y,v5,v6))) | x = T(K(y,z) * u,K(y,R(w,v5,v6))). x * K(a(K(x,y),z,u),w) = T(K(y,K(x,w)) * x,K(y,R(w,z,u))). T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). x != T(y,K(z,R(u,w,v5)) * K(u,z)) | x = T(y,a(K(u,z),w,v5)). x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). x != K(y,a(K(z,u),w,v5)) | x = K(a(K(y,u),w,v5),z). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u * x,w),z). K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). x != K(a(K(y,z),u,w),v5) | x = a(K(y,K(z,v5)),u,w). a(K(x,K(y,z)),u,w) = a(K(y,K(x,z)),u * x,w). a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). x != K(y \ 1,z) * K(z,R(y,u,w) \ 1) | x = a(K(z,y \ 1),u,w). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). x != a(K(y,R(z,u,w) \ 1),v5,v6) | x = a(K(z,R(y,u,w)),v5,v6). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). R(a(K(x,y),z,u),w,v5) = a(K(x,R(y,w,v5)),z,u). a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,z * (x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). x != K(y,z) * T(z,z * y) | x = L(z,y,z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). x != L(y,z * (z \ ((u / w) \ 1)),y) | x = L(y,u \ w,y). L(x,y / z,x) = L(x,z \ y,x). L(x,y,x) = L(x,(y \ z) \ z,x). L(x,(y \ z) \ z,x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,y,x) = L(x,y * K(z,y),x). L(x,y * K(z,y),x) = L(x,y,x). L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). x != L(y,R(z * K(u,z),w,v5),y) | x = L(y,R(z,w,v5),y). L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). x != L(y,(z * u) \ (w * u),y) | x = L(y,z \ w,y). L(x,R(y,z,u),x) = L(x,z \ (z * y),x). L(x,R(y,z,u),x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). x != L(y,R(z,u,w),y) | x = L(y,z,y). L(x,a(y,z,u),x) = L(x,y \ R(y,z,u),x). L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). (1 / (((1 / x) * y) * (z \ (1 / x)))) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * z)) = ((((x \ 1) \ 1) * z) / y) * (((x \ 1) \ 1) * z). (T(1 / x,y) \ (1 / y)) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). T((1 / x) \ (y \ 1),y) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). (((x \ 1) \ 1) \ y) * (((((y \ x) \ x) \ 1) \ (1 / x)) * z) = (((y \ x) \ x) * (1 / x)) * (((1 / x) * ((y \ 1) \ 1)) * z). (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z). (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * ((T(1 / x,y) \ (1 / y)) * z). (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * (T((1 / x) \ (y \ 1),y) * z). (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * ((((y \ 1) \ 1) \ x) * z). x != ((y \ 1) \ z) * (((y \ 1) \ z) * u) | x = (y * z) * ((y * z) * u). (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = ((y \ 1) * x) * (((y \ 1) * x) * z). x != (((y \ z) \ z) * (1 / z)) * (((1 / z) * ((y \ 1) \ 1)) * u) | x = (z \ ((y \ 1) \ 1)) * ((z \ ((y \ 1) \ 1)) * u). ((x \ 1) * y) * (((x \ 1) * y) * z) = (x \ ((y \ 1) \ 1)) * ((x \ ((y \ 1) \ 1)) * z). (x \ ((y \ 1) \ 1)) * ((x \ ((y \ 1) \ 1)) * z) = ((x \ 1) * y) * (((x \ 1) * y) * z). (T(1 / x,y) \ (1 / y)) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). T((1 / x) \ (y \ 1),y) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). (((x \ 1) \ 1) \ y) * (z * ((((y \ x) \ x) \ 1) \ (1 / x))) = (((y \ x) \ x) * (1 / x)) * (z * ((1 / x) * ((y \ 1) \ 1))). (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))). (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * (T(1 / x,y) \ (1 / y))). (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * T((1 / x) \ (y \ 1),y)). (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * (((y \ 1) \ 1) \ x)). x != ((y \ 1) \ z) * (u * ((y \ 1) \ z)) | x = (y * z) * (u * (y * z)). (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = ((y \ 1) * x) * (z * ((y \ 1) * x)). x != (((y \ z) \ z) * (1 / z)) * (u * ((1 / z) * ((y \ 1) \ 1))) | x = ((y \ 1) * z) \ (u / ((y \ 1) * z)). ((x \ 1) * y) * (z * ((x \ 1) * y)) = ((y \ 1) * x) \ (z / ((y \ 1) * x)). ((x \ 1) * y) \ (z / ((x \ 1) * y)) = ((y \ 1) * x) * (z * ((y \ 1) * x)). (1 / ((1 / x) * ((y / z) \ (1 / x)))) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). (1 / (((x / y) * z) \ (1 / z))) * (((z \ 1) \ 1) * ((1 / ((z \ 1) \ 1)) * x)) = ((((z \ 1) \ 1) * x) / y) * (((z \ 1) \ 1) * x). ((1 / (1 / x)) * ((y / z) * x)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). (((x \ 1) \ 1) * ((y / z) * x)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). (((x \ 1) \ (y / z)) * x) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). (((x \ 1) \ (y / z)) * x) * (((x \ 1) \ 1) * ((x \ 1) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). (((x \ 1) \ (y / z)) * x) * (x * ((1 / x) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y) = (((x \ 1) \ (y / z)) * x) * (x * ((1 / x) * y)). (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (((z \ 1) \ (y / x)) * z) * (z * ((1 / z) * y)). R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(y,z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). x != T(y,z) * K(u,z) | x = T(y * K(u,z),z). (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). T(K(x,y) * K(y,K(z,u)),w) = T(K(x,y),w) * K(y,K(z,T(u,w))). T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). x != T(K(y,z),u) * K(z,w) | x = K(z,w) * T(K(y,z),u). T(K(x,y) * K(y,K(z,u)),w) = K(y,K(z,T(u,w))) * T(K(x,y),w). K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). x != T(K(y * z,z) * K(z,K(y,u)),w) | x = K(z * T(y,w),T(z,u)). K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). K(x,K(y,T(z,u))) * w != K(x * T(y,u),T(x,z)) | w = K(x * T(y,u),x). K(x * y,T(y,z)) = K(y * T(x,z),y). K(x * T(y,z),x) = K(y * x,T(x,z)). T(x,x * T(y,z)) = 1 / (x \ K(y * x,T(x,z))). 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). T(x,T(y * x,z)) = T(x,x * T(y,z)). T(x,x * T(y,z)) != u | T(x,T(y * x,z)) = u. K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). x != K(y,z) * T(u,y) | x = T(K(y,z) * u,y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(u,x) = T(T(u,u * x) * L(x,y,z),u). T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). x != T(T(y,y * z) * L(z,u,w),y) | x = T(y * L(z,u,w),y * z). L(x,y,z) * T(u,x) = T(u * L(x,y,z),u * x). T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). x * y != T(z * L(u,w,v5),z * u) | x \ (L(u,w,v5) * T(z,u)) = y. (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y). K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). x != K(y,z) * K(L(z,u,w),y) | x = a(w,u,K(y,z)). K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). x != K(y,(y / L(z,u,w)) * z) | x = K(y,z * (L(z,u,w) \ y)). a(x,y,K(z / L(u,y,x),u)) = K(z,u * (L(u,y,x) \ z)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). x != a(y,z,K(u \ w,u)) | x = a(y,z,K(w,u)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). x != K(y,y * z) | x = (y * K(z,y)) \ L(y,z,y). a(x,y,K(z,u)) = (z * K(L(u,y,x) \ u,z)) \ L(z,L(u,y,x) \ u,z). (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). x / (a(y,z,K(u,w)) * x) = K(u * (L(w,z,y) \ w),u). K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). x != y / (a(z,u,K(w,v5)) * y) | x = a(z,u,K(v5,w)). K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(L(w,u,z) \ w,v5)). a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). x != a(y,z,K(u \ w,v5)) | x = a(y,z,K(v5,w \ u)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(v5,w \ L(w,u,z))). a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). x / (a(y,z,K(u,w)) * x) = K(u,u * (w \ L(w,z,y))). K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. K(L(x,y,z) \ x,u) = K(a(z,y,x),u). x / (K(a(y,z,u),w) * x) = K(w,L(u,z,y) \ u). K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). K(x,x * a(y,z,u)) = a(y,z,K(x,u)). a(x,y,K(z,u)) != w | K(z,z * a(x,y,u)) = w. 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). T(x,a(y,z,u) \ 1) = x * K(x,u \ L(u,z,y)). x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). x != T(y,y * (z \ L(z,u,w))) | x = y * a(w,u,K(z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). x != T(T(y,y * z) * R(z,u,w),y) | x = T(y * R(z,u,w),y * z). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). R(x,y,z) * T(u,x) = T(u * R(x,y,z),u * x). T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). K(x * y,x * R(y,z,u)) = (x * R(y,z,u)) / (R(y,z,u) * T(x,y)). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). x != (y * z) / (z * T(y,u)) | x = T(K(u,y) * K(y,z),z). K(x * y,x * R(y,z,u)) = T(K(y,x) * K(x,R(y,z,u)),R(y,z,u)). T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). x != K((y * z) \ 1,y * z) | x = K(y \ (z \ 1),z * y). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). x != K(K(y,z) * K(y,u),K(u,y) * K(z,y)) | x = 1. K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ 1 = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. x != ((y \ K(y,z)) * T(y,u)) \ 1 | x = y * (K(z,y) / T(y,u)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). x != (y \ z) * R((y \ z) \ 1,u,w) | x = y \ (z * R(z \ y,u,w)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(x,y,z),u) = u \ T(u * (x \ R(x,y,z)),u). x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). x != K(y,(z \ 1) * ((u \ z) * u)) | x = K(y,K(z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). (K(x,x \ 1) * ((y \ x) \ 1)) * (((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * z) = (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z). (((x \ y) \ y) * (1 / y)) * (((y \ 1) \ ((1 / y) * ((x \ y) \ 1))) * z) = (y \ ((x \ 1) \ 1)) * ((y * ((1 / y) * ((x \ y) \ 1))) * z). (((x \ y) \ y) * (1 / y)) * ((K(y,y \ 1) * ((x \ y) \ 1)) * z) = (y \ ((x \ 1) \ 1)) * ((y * ((1 / y) * ((x \ y) \ 1))) * z). (((x \ y) \ y) * (1 / y)) * ((((x \ y) \ y) * (1 / y)) * z) = (y \ ((x \ 1) \ 1)) * ((y * ((1 / y) * ((x \ y) \ 1))) * z). (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = (((y \ x) \ x) * (1 / x)) * ((((y \ x) \ x) * (1 / x)) * z). x != ((y \ z) * (1 / z)) * (((y \ z) * (1 / z)) * u) | x = (y \ 1) * ((y \ 1) * u). (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = ((y \ x) \ 1) * (((y \ x) \ 1) * z). x != ((y \ z) \ 1) * (((y \ z) \ 1) * u) | x = (z \ y) * ((z \ y) * u). (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = (x \ y) * ((x \ y) * z). (x \ ((y \ 1) \ 1)) * ((x \ ((y \ 1) \ 1)) * z) = (x \ y) * ((x \ y) * z). x != (y \ ((z \ 1) \ 1)) * ((y \ ((z \ 1) \ 1)) * u) | x = ((y \ 1) * z) * (((y \ 1) * z) * u). (x \ y) * ((x \ y) * z) = ((x \ 1) * y) * (((x \ 1) * y) * z). ((x \ 1) * y) * (((x \ 1) * y) * z) = (x \ y) * ((x \ y) * z). x != ((y \ 1) * (1 / z)) * (((y \ 1) * (1 / z)) * u) | x = (y \ (z \ 1)) * ((y \ (z \ 1)) * u). (x \ (1 / y)) * ((x \ (1 / y)) * z) = (x \ (y \ 1)) * ((x \ (y \ 1)) * z). T(1 / ((x \ (y \ 1)) * ((x \ (y \ 1)) * z)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). T(((((x \ (y \ 1)) * z) \ 1) \ 1) \ (y * x),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). T(((x \ ((y \ (z \ 1)) \ 1)) \ 1) \ (z * y),y \ (z \ 1)) = (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y). T(((1 / (x * y)) * ((z \ 1) \ 1)) \ (x * y),y \ (x \ 1)) = (1 / (z * (y \ (1 / x)))) * (((x \ 1) \ 1) * y). T((((x * y) \ ((z \ 1) \ 1)) \ 1) * (x * y),y \ (x \ 1)) = (1 / (z * (y \ (1 / x)))) * (((x \ 1) \ 1) * y). T(((1 / x) * (((y * z) \ 1) \ 1)) * (y * z),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). T(((1 / x) * (y * z)) * ((z \ (y \ 1)) \ 1),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). (1 / (x \ (y \ 1))) * ((1 / z) * (y * x)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (1 / (y \ (z \ 1))) * ((1 / x) * (z * y)). (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = ((1 / 1) \ (z * y)) * ((1 / x) * (z * y)). (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (1 \ (z * y)) * ((1 / x) * (z * y)). (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (z * y) * ((1 / x) * (z * y)). (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = ((z * y) / x) * (z * y). x != (1 / (y * (z \ (1 / u)))) * (((u \ 1) \ 1) * z) | x = (((u \ 1) \ (z / y)) * u) * (u * ((1 / u) * z)). ((x * y) / z) * (x * y) = (((x \ 1) \ (y / z)) * x) * (x * ((1 / x) * y)). (((x \ 1) \ (y / z)) * x) * (x * ((1 / x) * y)) = ((x * y) / z) * (x * y). (((x \ 1) \ y) * x) * (x * ((1 / x) * z)) = ((x * z) / (y \ z)) * (x * z). ((x * y) / (z \ y)) * (x * y) = (((x \ 1) \ z) * x) * (x * ((1 / x) * y)). (((x \ 1) \ ((1 / y) \ z)) * x) * (x * ((1 / x) * y)) = ((x * y) / (z \ 1)) * (x * y). ((x * y) / y) * (z * (x * y)) = (((x \ 1) \ z) * x) * (x * ((1 / x) * y)). x * (y * (x * z)) = (((x \ 1) \ y) * x) * (x * ((1 / x) * z)). (((x \ 1) \ y) * x) * (x * ((1 / x) * z)) = x * (y * (x * z)). x != (((y \ 1) \ z) * y) * (y * ((1 / y) * u)) | x = y * (z * (y * u)). ((x * y) / (z \ 1)) * (x * y) = x * (((1 / y) \ z) * (x * y)). ((x * y) / (z \ 1)) * (x * y) = x * (y * ((z * x) * y)). ((1 / (x * y)) \ z) * (x * y) = x * (y * ((z * x) * y)). (x * y) * (z * (x * y)) = x * (y * ((z * x) * y)). x != ((1 / ((y \ z) * L(u,y,y))) \ y) * ((y \ z) * L(u,y,y)) | x = ((y \ z) * L(u,y,y)) * (y / (u \ (z \ y))). (x \ y) * (L(z,x,x) * ((x * (x \ y)) * L(z,x,x))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). x \ (x * (1 / (((y * (x * (((x \ z) \ 1) \ 1))) \ (1 / z)) * x))) = (((x \ z) \ 1) \ 1) * ((y * x) * (((x \ z) \ 1) \ 1)). (a(x,y,x) * z) * u != a(x,y,x) * (z * w) | u = w. x * (a(y,z,y) * u) = (x * a(y,z,y)) * u. (x * a(y,z,y)) * u = x * (a(y,z,y) * u). x != ((1 / y) * z) * (u * ((1 / y) * z)) | x = (y \ z) * (u * (y \ z)). (1 / x) * (y * ((z * (1 / x)) * y)) = (x \ y) * (z * (x \ y)). x * (y * ((z * x) * y)) != (x * y) * u | z * (x * y) = u. (x * y) * z != x * (y * ((u * x) * y)) | u * (x * y) = z. R(x,a(y,z,y),u) = x. x * y != z * (u * (u \ (z \ w))) | x \ w = y. (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). a(x * a(y,z,y),u,w) = (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w). (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). x != (y * a(z,u,z)) \ w | x = (a(z,u,z) * y) \ w. a(x,y,x) \ (z \ u) = (a(x,y,x) * z) \ u. (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). x != K(y,T(z,u) \ w) | x = K(y,T(z,z \ u) \ w). K(x,((y \ z) \ z) \ u) = K(x,T(y,y \ z) \ u). K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). (1 / x) * (((y \ (z * (1 / x))) \ 1) * L(y,y,(z * (1 / x)) * y)) = (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))). (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * (((y \ (z * (1 / x))) \ 1) * L(y,y,(z * (1 / x)) * y)). T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). x != (a(y,z,y) * u) \ w | x = a(y,z,y) \ (u \ w). T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). T(a(x,y,x) \ z,u) = a(x,y,x) \ T(z,u). a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). K(x,y) * T(z,u) = K(x,x * y) * T(a(x,y,x) * z,u). K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). a(x,y,x) * T(z,u) = T(a(x,y,x) * z,u). T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). a(x,a(y,z,y) * u,w) = a(x * a(y,z,y),u,w). a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). a(x,y,z) = a(x / a(u,w,u),a(u,w,u) * y,z). a(x / a(y,z,y),a(y,z,y) * u,w) = a(x,u,w). x != a(y / a(z,u,z),w,v5) | x = a(y,w,v5). a(x,y,z) = a(x,a(u,w,u) * y,z). a(x,a(y,z,y) * u,w) = a(x,u,w). a(x,T(y * z,y),u) = a(x,z * y,u). a(x,y \ z,u) = a(x,(y \ 1) * z,u). a(x,(y \ 1) * z,u) = a(x,y \ z,u). a(x,(1 / y) \ z,u) = a(x,y * z,u). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * (y * a(w,v5,w))) \ z). K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. x != (y * (z * T(z \ (y \ u),w))) \ u | x = K(w,(y * z) \ u). K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * z) \ u) = K(x,(L(y,w,y) * z) \ u). K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). x \ (x * (1 / ((x * (1 / ((y * (((z \ 1) \ 1) * y)) * x))) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). x \ (x * (1 / ((x * (1 / (((y / (1 / z)) * y) * x))) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). x \ (x * (1 / ((((y * (z * y)) \ x) * (1 / x)) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). x \ (x * (1 / L((y * (z * y)) \ x,x,x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). x \ (x * (1 / ((x \ (y * (z * y))) \ 1))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (x * (1 / ((x \ (y * (z * y))) \ 1))). (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (x * (x \ (y * (z * y)))). (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (y * (z * y)). ((x \ y) \ 1) \ ((z * x) / ((x \ y) \ 1)) = x \ (y * (z * y)). x != (y \ 1) \ (z / (y \ 1)) | x = y * (z * y). x \ (y * (z * y)) = (x \ y) * ((z * x) * (x \ y)). (x \ y) * ((z * x) * (x \ y)) = x \ (y * (z * y)). x != (y \ z) * ((u * y) * (y \ z)) | x = ((z \ y) \ u) * L(z,z,y * z). x \ (y * (z * y)) = ((y \ x) \ z) * L(y,y,x * y). ((x \ y) \ z) * L(x,x,y * x) = y \ (x * (z * x)). (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * ((z * (1 / x)) \ (y * (1 * y))). (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * ((z * (1 / x)) \ (y * y)). (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * (((z * (1 / x)) \ y) * y). x != (1 / y) * (((z * (1 / y)) \ u) * u) | x = (z \ (u * (u / y))) * y. (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (z \ (y * (y / x))) * x. (K(x,x \ 1) * ((y \ x) \ 1)) * (z * ((x \ 1) \ ((1 / x) * ((y \ x) \ 1)))) = (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))). (((x \ y) \ y) * (1 / y)) * (z * ((y \ 1) \ ((1 / y) * ((x \ y) \ 1)))) = (y \ ((x \ 1) \ 1)) * (z * (y * ((1 / y) * ((x \ y) \ 1)))). (((x \ y) \ y) * (1 / y)) * (z * (K(y,y \ 1) * ((x \ y) \ 1))) = (y \ ((x \ 1) \ 1)) * (z * (y * ((1 / y) * ((x \ y) \ 1)))). (((x \ y) \ y) * (1 / y)) * (z * (((x \ y) \ y) * (1 / y))) = (y \ ((x \ 1) \ 1)) * (z * (y * ((1 / y) * ((x \ y) \ 1)))). (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (((y \ x) \ x) * (1 / x)) * (z * (((y \ x) \ x) * (1 / x))). x != ((y \ z) * (1 / z)) * (u * ((y \ z) * (1 / z))) | x = y \ (u / y). (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (y \ x) \ (z / (y \ x)). x != (y \ z) \ (u / (y \ z)) | x = (z \ y) * (u * (z \ y)). (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (x \ y) * (z * (x \ y)). (x \ ((y \ 1) \ 1)) * (z * (x \ ((y \ 1) \ 1))) = (x \ y) * (z * (x \ y)). (x \ y) * (z * (x \ y)) = ((y \ 1) * x) \ (z / ((y \ 1) * x)). ((x \ 1) * y) \ (z / ((x \ 1) * y)) = (y \ x) * (z * (y \ x)). x != ((y \ 1) * z) \ (u / ((y \ 1) * z)) | x = ((z \ 1) * y) * (u * ((z \ 1) * y)). (x \ y) * (z * (x \ y)) = ((x \ 1) * y) * (z * ((x \ 1) * y)). ((x \ 1) * y) * (z * ((x \ 1) * y)) = (x \ y) * (z * (x \ y)). ((1 / ((x \ 1) * y)) \ z) * ((x \ 1) * y) = (x \ y) * (z * (x \ y)). ((((x \ 1) \ 1) \ y) \ z) * ((y \ 1) * x) = (y \ x) * (z * (y \ x)). ((T(x,y \ 1) \ 1) \ 1) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. L(x,K(y,z),a(K(y,u),w,v5)) = x. (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). x != (a(K(y,T(z,u)),w,v5) * K(y,z)) * (K(z,y) * u) | x = u * a(K(y,z),w,v5). a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). a(K(x,y),z,u) * w = w * a(K(x,T(y,w)),z,u). x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. T(a(K(x,y),z,u),w) = a(K(x,T(y,w)),z,u). a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). x != T(a(K(y,z),u * z,w),R(z,u,w)) | x = K(y * z,y * R(z,u,w)). a(K(x,T(y,R(y,z,u))),z * y,u) = K(x * y,x * R(y,z,u)). K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). x != K(y,(y / z) * u) | x = K(y,(z \ y) * u). a(K(x / y,y),z * y,u) = K(x,(y \ x) * R(y,z,u)). K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). x != K(y,(z \ y) * R(z,u,w)) | x = K(y,y * (z \ R(z,u,w))). a(K(x / y,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). x != a(K(y \ z,y),u,w) | x = a(K(z,y),u,w). K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). x != K(y,z) | x = (u \ T(z,y)) \ (u \ z). a(K(x,y),z * y,u) = (w \ T(x * (y \ R(y,z,u)),x)) \ (w \ (x * (y \ R(y,z,u)))). (x \ T(y * (z \ R(z,u,w)),y)) \ (x \ (y * (z \ R(z,u,w)))) = a(K(y,z),u * z,w). a(K(x,y),z * y,u) = (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x). (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). x != R(a(K(y,z),u,w),v5,v6) | x = a(K(y,R(z,v5,v6)),u,w). a(K(x,y),z * y,u) = a(K(x,R(y,x * R(y,z,u),w)),z * y,u). a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). x != a(K(y,R(z,y * u,w)),v5,v6) | x = a(K(y,R(z,u,w)),v5,v6). a(K(x,y),z * y,u) = a(K(x,R(y,R(y,z,u),w)),z * y,u). a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). x != a(K(y,K(z,u)),w * z,v5) | x = a(K(z,K(y,u)),w,v5). K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). x != K(y,K(z,u \ R(u,w,v5))) | x = K(y,K(z,R(u,w,v5) * (u \ z))). a(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w) * (x \ z))). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). x != K(y,K(R(z,u,w),R(u,v5,v6) \ u)) | x = K(y,K(z,(u * w) / (R(u,v5,v6) * w))). a(K(x,K(R(y,z,u),z)),w,v5) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). x != K(y,K(R(z,u,w) \ z,R(v5,z,u * w))) | x = K(y,K(a(z,u,w),T(v5,z * (u * w)))). a(K(x,K(y,z)),u,w) = K(x,K(a(y,u,w),T(z,y * (u * w)))). K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). (a(x,a(y,z,u),x) \ a(K(x,y),z * y,u)) * w != a(K(x,y),z * y,u) | 1 = w. 1 = a(x,a(y,z,u),x). a(x,a(y,z,u),x) = 1. L(x,a(y,z,u),x) = x. x * y != L(z,a(u,w,v5),z) | z / y = x. x / (a(y,z,u) \ 1) = x * a(y,z,u). x * y != L(z,a(u,w,v5),z) | x \ z = y. a(x,y,z) \ u = (a(x,y,z) \ 1) * u. (a(x,y,z) \ 1) * u = a(x,y,z) \ u. (1 / x) \ a(y,z,u) = x * a(y,z,u). x / a(y,z,u) = x * (a(y,z,u) \ 1). x * (a(y,z,u) \ 1) = x / a(y,z,u). x \ a(y,z,u) = (x \ 1) * a(y,z,u). (x \ 1) * a(y,z,u) = x \ a(y,z,u). (a(x,y,z) \ 1) \ u = a(x,y,z) * u. x * y != (a(z,u,w) \ 1) * v5 | (a(z,u,w) \ v5) / y = x. (a(x,y,z) \ (K(a(x,y,z) \ 1,u) * w)) / w = T(a(x,y,z) \ 1,u). (a(x,y,z) \ u) \ u = T(a(x,y,z),u). x * y != (1 / x) \ z | y = L(z,x,x). a(x,y,z) = L(a(x,y,z),u,u). L(a(x,y,z),u,u) = a(x,y,z). x * y != L(a(z,u,w),v5,v5) | a(z,u,w) / y = x. a(x,y,z) / ((x * y) * z) = 1 / (x * (y * z)). L(T(a(x,y,z),u),w,w) = T(a(x,y,z),u). K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (K(a(x,y,z) \ 1,u) * w) / a(x,y,z). (a(x,y,z) * u) / a(x,y,z) != w | T(u,a(x,y,z) \ 1) = w. (1 / x) \ a(y,z,u) != w | x * a(y,z,u) = w. (x * (y \ 1)) \ (x * (y \ a(z,u,w))) != v5 | L(a(z,u,w),y \ 1,x) = v5. T(x * a(y,z,u),a(y,z,u) \ 1) = T(a(y,z,u),1) * x. T(a(x,y,z),u) \ (w * T(a(x,y,z),u)) = T(w,w * T(a(x,y,z),u)). T(x,x * T(a(y,z,u),w)) = T(a(y,z,u),w) \ (x * T(a(y,z,u),w)). (a(x,y,z) \ (K(a(x,y,z),u \ 1) * w)) / w = T(a(x,y,z) \ 1,u). T(x,x * T(a(y,z,u),w)) = T(x,T(a(y,z,u),w)). K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (K(a(x,y,z),u \ 1) * w) / a(x,y,z). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ u = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x \ K(x,y)) * T(x,z)) * u = (x * (K(y,x) / T(x,z))) \ u. (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,z * (K(u,w) / T(w,v5)),v6) | x = L(y,z * (T(w,u) \ K(v5,w)),v6). ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)). L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,K(z,u) * K(w,u),T(u,w)) | x = y. ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). (K(x,y) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u). x != T(y,z * u) | x = T(y,T(z,z \ 1) * u). (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),u * w). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). x != K(y,z) * T(u,T(y * u,z)) | x = T(u,y * u) * K(y,z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). x != T(y,T(z,z \ 1) * u) | x = T(y,z * u). T(x,y * x) * K(y,z) = T(K(y,z) * x,y * x). T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). T((x \ 1) \ 1,y \ 1) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * y)) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). x != T(y,K(z,u)) * L(K(z,w),v5,v6) | x = T(y * L(K(z,w),v5,v6),K(z,u)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T((x * (K(z,u) * y)) * L(K(u,z),y,x),K(u,L(z,y,x))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = (x * T(y,K(z,u))) * K(z,K(u,x * y)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. T((x \ 1) \ 1,y \ 1) \ ((L(1 / T(x,y \ 1),T(x,y \ 1),T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). T((x \ 1) \ 1,y \ 1) \ (((1 * (T(x,y \ 1) \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). T((x \ 1) \ 1,y \ 1) \ (((T(x,y \ 1) \ 1) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). T((x \ 1) \ 1,y \ 1) \ ((y * ((x \ 1) \ 1)) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). T((x \ 1) \ 1,y \ 1) \ ((y * ((x \ 1) \ 1)) * z) = T(x,y \ 1) \ ((y * x) * z). x \ ((x * (1 / (y * x))) * (((x * (1 / (y * x))) \ z) * L(u,y,y))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). x \ (x * (1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). 1 / (((x \ (y \ (z * (1 / (u * z))))) * u) * z) = 1 / (((((z * (1 / (u * z))) \ y) * L(x,u,u)) \ u) * z). 1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). (L(x,y,y) * (z / (u * (1 / (y * u))))) / K(u,u \ 1) = ((u * (1 / (y * u))) * (((u * (1 / (y * u))) / z) / x)) \ (1 / y). ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) / K(x,x \ 1). x != y / K(z,u) | x = y * K(u,z). ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) * K(x \ 1,x). ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) * K(x,x \ 1). ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (K(x,x \ 1) * (z / (x * (1 / (y * x))))). ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / T((1 / (y * x)) * x,x \ 1)). ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / T(1 / T(y,x),x \ 1)). ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / (1 / y)). ((x * (1 / (y * x))) * ((x * (1 / ((z * y) * x))) / u)) \ (1 / y) = L(u,y,y) * (z / (1 / y)). ((x * (1 / (y * x))) * (x * (1 / ((z * (u * y)) * x)))) \ (1 / y) = L(z,y,y) * (u / (1 / y)). (x * (1 / (((x * (1 / ((y * (z * u)) * x))) \ u) * x))) \ (1 / u) = L(y,u,u) * (z / (1 / u)). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). x != R(y,z,a(u,w,u)) | x = y. (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). x != L(T(y,a(z,u,w) \ 1),w \ L(w,u,z),y) | x = y * a(z,u,K(w,y)). T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). K(a(x,y,z),u) = a(x,y,K(z,u)). a(x,y,K(z,u)) = K(a(x,y,z),u). T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). a(x,y,K(z,T(u,w))) = T(K(a(x,y,z),u),w). K((x * y) * z,x * (y * z)) = a(x,y,K(z,(x * y) * z)). x != a(y,z,K(u,u)) | x = 1. K(a(x,y,z),z) = 1. a(x,y,K(z,(x * y) * z)) != u | K((x * y) * z,x * (y * z)) = u. (a(x,y,K(z,(x * y) * z)) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. (a(x,y,z) \ (a(x,y,K(z,u \ 1)) * w)) / w = T(a(x,y,z) \ 1,u). K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (a(x,y,K(z,u \ 1)) * w) / a(x,y,z). T(a(x,y,z),z) = a(x,y,z). x * a(y,z,x) = a(y,z,x) * x. a(x,y,z) * z = z * a(x,y,z). T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). a(x,y,K(z,T(u,w))) = T(a(x,y,K(z,u)),w). a(x,y,K(z,u)) = K(z,a(x,y,u)). K(x,x * a(y,z,u)) = K(x,a(y,z,u)). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). (a(x,y,K(z,z * (x * y))) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). x != T(T(y,z),a(u,w,z) \ y) | x = T(y,L(z,w,u)). T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). x != (y \ 1) * T(K(y,z) * u,y \ 1) | x = K(y,z) * (u * (y \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). K(x,K(y,z)) * (x \ L(T(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). T(x \ L(x,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). x != T(y,K(z,u)) \ L(T(y,K(z,u)),w,v5) | x = T((y \ 1) * L((y \ 1) \ 1,w,v5),K(z,u * y)). T(x \ L(x,y,z),K(u,w)) = T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). K(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(u * x,w)). K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). x != K(y \ L(y,z,u),K(w * y,v5)) | x = K(v5,K(y * w,y \ L(y,z,u))). K(x,K(y,z \ L(z,u,w))) = K(y,K(z * x,z \ L(z,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). x != K(y,K((z * u) * w,w \ L(w,u,z))) | x = K(y,K(z * (u * w),a(z,u,w) * (z * (u * w)))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). x != K(y,K(z * u,w \ L(w,u,z))) | x = K(y,K(z * u,a(z,u,w))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. x != K(y,K(a(z,u,w),z * (u * w))) | x = K(y,K(a(z,u,w),(z * u) * w)). K(x,K(y * z,a(y,z,u))) = K(x,K(a(y,z,u),(y * z) * u)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),(z * u) * w)) | x = K(a(z,u,w),T((((z * u) * w) \ 1) * ((y \ ((z * u) * w)) * y),z * (u * w))). K(x,K(y * z,a(y,z,u))) = K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),T(v5,z * (u * w)))) | x = a(K(y,K(z,v5)),u,w). K(x,K(y * z,a(y,z,u))) = a(K(x,K(y,(y * z) * u)),z,u). a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). a(K(x,K(y,z * u)),z,u) = K(y,K(x * z,a(x,z,u))). K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). x != a(K(y,K(z,u * w)),u,w) | x = 1. K(x,K(y * z,a(y,z,u))) = 1. K(x,K(a(y,z,u),y * (z * u))) = 1. K(x,a(y,z,u)) * 1 = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). x != K(y,((z * u) * w) / (z * (u * w))) | x = R(K(y,z \ R(z,u,w)),R(z,u,w),u * w). K(x,a(y,z,u)) = R(K(x,y \ R(y,z,u)),R(y,z,u),z * u). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). K(x,a(y,z,u)) = a(K(x,R(y,R(y,z,u),z * u)),z * y,u). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). x != a(K(y,R(z,R(z,u,w),v5)),u * z,w) | x = a(K(y,z),u * z,w). K(x,a(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,a(y,z,u)). x != K(y,a(z,u,w)) | x = K(y,y * a(z,u,w)). a(K(x,y),z * y,u) = K(x,x * a(y,z,u)). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). x != a(K(y,z),u * z,w) | x = a(K(y,z),u,w). K(x,x * a(y,z,u)) = a(K(x,y),z,u). x != K(y,y * a(z,u,w)) | x = a(z,u,K(y,w)). a(K(x,y),z,u) = a(y,z,K(x,u)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). x != (T(y,y \ z) * a(u,w,K(v5,v6))) \ ((y \ z) \ z) | x = a(u,w,K(v6,v5)). a(K(x,y),z,u) = a(x,z,K(u,y)). x != a(K(y,z),u,w) | x = a(z,u,K(y,w)). a(x,y,K(z,u)) = a(u,y,K(x,z)). ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). a(K(x,y \ 1),z,u) = a(x \ 1,z,K(u,y)). T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). a(x,y,K(z \ u,z)) = a(z,y,K(x,u)). x != a(y,z,K(u,w)) | x = v5 / (a(y,z,K(w,u)) * v5). a(x,y,K(z,u)) = w / (a(u,y,K(z,x)) * w). x / (a(y,z,K(u,w)) * x) = a(w,z,K(u,y)). x != a(y,z,K(u,w)) | x = K(u,a(y,z,w)). a(x,y,K(z,u)) = K(x,a(u,y,z)). x != a(y,z,K(u \ 1,w)) | x = a(y,z,K(w,u)). a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). a(x \ 1,y,K(z,u)) = K(x,a(u,y,z) \ 1). K(x * (y * z),(x * y) * z) = a((x * y) * z,y,K(z,x)). T(x,a(y,z,u)) = x * a(x,z,K(u,y)). x * a(x,y,K(z,u)) = T(x,a(u,y,z)). x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. a(x,y,z) \ (a(u,y,K(z,x)) * w) = T(a(x,y,z),u) \ w. x != a(y,z,K(u,w)) | x = a(w,z,K(y,u)). a(x,y,K(z,u)) = a(x,y,K(z,x \ u)). a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). x * a(y,z,K(u,x)) = T(x,a(u,z,y)). a(x,y,K(z,u)) = a(x,y,K(z,x * u)). a(x,y,K(z,x * u)) = a(x,y,K(z,u)). x != y * a(z,u,K(w,y)) | x = T(y,a(z,u,w) \ y). T(x,a(y,z,u)) = T(x,a(u,z,y) \ x). T(x,a(y,z,u) \ x) = T(x,a(u,z,y)). (a(x,y,z) * u) / a(x,y,z) = T(u,a(z,y,x)). x != a(K(y,z),u,w) | x = a(y,u,K(w,z)). a(x \ 1,y,K(z,u)) = a(x,y,K(z,u \ 1)). a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. a(x,y,K(z \ u,z)) != w | a(z,y,K(x,u)) = w. x != a(y \ 1,z,K(u,w)) | x = K(y,a(w,z,u) \ 1). a(x,y,K(z,u \ 1)) = K(x,a(u,y,z) \ 1). x != a(y \ 1,z,K(u,w)) | x = a(w,z,K(u,y)). a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). x != a(y,z,K(u,y * w)) | x = a(y,z,K(u,w)). a(x * y,z,K(u,x \ 1)) = a(x,z,K(u,y)). (a(x,y,z) \ (a(u,y,K(z,x)) * w)) / w = T(a(x,y,z) \ 1,u). K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). K((x * y) * z,x * (y * z)) = a(x * (y * z),y,K(z,x \ 1)). a(x * (y * z),y,K(z,x \ 1)) = K((x * y) * z,x * (y * z)). x * a(y,z,K(u,x)) != w | T(x,a(u,z,y)) = w. T(x,a(y,z,u) \ 1) = T(x,a(u,z,y)). x != T(y * a(z,u,w),a(z,u,w) \ 1) | x = T(a(z,u,w),1) * y. T(x * a(y,z,u),a(u,z,y)) = T(a(y,z,u),1) * x. T(T(x,a(y,z,u)),K(a(u,z,y) \ 1,w)) = T(x,T(a(u,z,y) \ 1,w)). x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. T(x * a(y,z,u),a(u,z,y)) = a(y,z,u) * x. x * y != T(x * a(z,u,w),a(w,u,z)) | T(a(z,u,w),x) = y. T(x * a(y,z,u),a(u,z,y)) != x * w | T(a(y,z,u),x) = w. x != T(y,y * z) * a(u,w,K(v5,z)) | x = T(a(u,w,K(v5,z)) * y,z * y). T(x,R(x * y,z,u)) = T(a(x,z,K(u,y)) * x,y * x). T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). x != T(T(y,y * z),a(u,w,z) \ y) | x = T(y,L(z * y,w,u)). T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). x != T(y,R(y * (z / T(1 / (1 / y),u)),w,v5)) | x = T(y,R(z,w,v5)). T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). x != K(y * (z * u),(y * z) * u) | x = K(a(y,z,u),(z * u) \ (y \ 1)). a((x * y) * z,y,K(z,x)) = K(a(x,y,z),(y * z) \ (x \ 1)). K(a(x,y,z),(y * z) \ (x \ 1)) = a((x * y) * z,y,K(z,x)). T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). x != T(y,L(z * (u * (1 / w)),v5,v6)) | x = T(y,L(z * (u * (w \ 1)),v5,v6)). T(x,R(y,z,u)) = T(x,L(y * (x * (T(x,w) \ 1)),z,u)). T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). T(x,L(y,z,u)) = T(x,R(y,z,u)). T(x,R(y,z,u)) = T(x,L(y,z,u)). x * y != T(z,R(u,w,v5)) | x \ T(z,L(u,w,v5)) = y. x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,R(y,z,u)) = K(x,L(y,z,u)). x != K(y,L(z,u,w)) | x = L(K(y,z),u,w). K(x,R(y,z,u)) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,R(y,z,u)). ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). x != K(y,R(z,u,w)) | x = R(K(y,z),u,w). L(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) = L(K(x,y),z,u). K(R(x,y,z) \ 1,u) = L(K(x \ 1,u),y,z). L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). K(L(x,y,z) \ 1,u) = K(R(x,y,z) \ 1,u). K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). T(a(x,y,z),(y * z) \ (x \ 1)) / a((x * y) * z,y,K(z,x)) = a(x,y,z). ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). K(x,L(y,z,u) \ 1) = K(x,R(y,z,u) \ 1). K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). K(x,T((y * z) / u,u / z) \ 1) = K(x,L((u / z) \ y,u / z,z) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). (T(a(x,y,z),u) \ w) / w = T(a(x,y,z) \ 1,u). (x * T(a(y,z,u),w)) \ x = T(a(y,z,u) \ 1,w). T(T(x,T(a(y,z,u) \ 1,w)),x * (1 * T(a(y,z,u),w))) = x. x != K((y * z) * u,y * (z * u)) | x = a(y,z,K(u,(y * z) * u)). a(x * (y * z),y,K(z,x \ 1)) = a(x,y,K(z,(x * y) * z)). a(x * (y * z),y,K(z,x \ 1)) = a(x,y,K(z,z * (x * y))). x != a(y * z,u,K(w,y \ 1)) | x = a(y,u,K(w,z)). a(x,y,K(z,z * (x * y))) = a(x,y,K(z,y * z)). x != a(y,z,K(u,z * u)) | x = 1. a(x,y,K(z,z * (x * y))) = 1. a(x,y,K(z,(x * y) * z)) = 1. (1 / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. K((x * y) * z,x * (y * z)) = 1. T((x * y) * z,x * (y * z)) = (x * y) * z. (x * (y * z)) * ((x * y) * z) = ((x * y) * z) * (x * (y * z)). ((x * y) * z) * (x * (y * z)) = (x * (y * z)) * ((x * y) * z). (a(x,y,z) \ 1) \ (x * (y * z)) = (x * y) * z. x != (a(y,z,u) \ 1) \ w | x = a(y,z,u) * w. (x * y) * z = a(x,y,z) * (x * (y * z)). a(x,y,z) * (x * (y * z)) = (x * y) * z. x * y != (a(z,u,w) \ 1) \ (z * (u * w)) | ((z * u) * w) / y = x. ((x * y) * z) / (x * (y * z)) = a(x,y,z). a(x,y,z) = ((x * y) * z) / (x * (y * z)). (x * (y * z)) / ((x * y) * z) = a(x,y,z) \ 1. a(x,y,(x * y) \ z) \ z = x * (y * ((x * y) \ z)). a(x,y \ 1,(z \ 1) \ 1) = ((x * (y \ 1)) * ((z \ 1) \ 1)) / (x * ((z \ y) \ 1)). ((x * (y \ 1)) * ((z \ 1) \ 1)) / (x * ((z \ y) \ 1)) = a(x,y \ 1,(z \ 1) \ 1). (1 / (x * (y * (z \ 1)))) \ (z / (x * y)) = a(x,y,z \ 1) \ 1. x * y != z * (u * ((z * u) \ w)) | x \ (a(z,u,(z * u) \ w) \ w) = y. x \ (a(x,L(y \ 1,y,z),(x * L(y \ 1,y,z)) \ u) \ u) = L(y \ 1,z,y) * ((x * L(y \ 1,y,z)) \ u). L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). ((x / y) / z) \ (x / (z * y)) = a(z,y,x \ 1) \ 1. x != L(K(y,z),u,w) * v5 | x = T(v5 * L(K(y,z),u,w),K(z,L(y,u,w))). x * T(y,K(z,u) * x) = T((y * (K(z,u) * x)) * L(K(u,z),x,y),K(z,L(u,x,y))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). a(x * K(y * z,x),y,z) = (x * (y * z)) \ ((x * y) * z). (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). a(x,y,z) = a(x * K(y * z,x),y,z). a(x * K(y * z,x),y,z) = a(x,y,z). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). T(a(x,y,z),(y * z) \ (x \ 1)) * a(x,y,K(z,(x * y) * z)) = a(x,y,z). x != K(y,T(z,u) \ 1) | x = K(y,T(z \ 1,u)). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). T(a(x,y,z),(y * z) \ (x \ 1)) * 1 = a(x,y,z). T(a(x,y,z),(y * z) \ (x \ 1)) = a(x,y,z). ((x * y) \ (z \ 1)) * (a(z,x,y) \ 1) = a(z,x,y) \ ((x * y) \ (z \ 1)). (a(x,y,z) / ((x * y) * z)) / ((y * z) \ (x \ 1)) = K((x * y) * z,(y * z) \ (x \ 1)). x != a(y,z,u) \ ((z * u) \ (y \ 1)) | x = u \ (z \ (y \ 1)). ((x * y) \ (z \ 1)) * (a(z,x,y) \ 1) = y \ (x \ (z \ 1)). (1 / (x * y)) * ((x * y) \ (a(x * y,x,y) \ 1)) = y \ (x \ ((x * y) \ 1)). x != y * (a(z,u,w) \ 1) | x = y / a(z,u,w). x \ (y \ (z \ 1)) = ((y * x) \ (z \ 1)) / a(z,y,x). ((x * y) \ (z \ 1)) / a(z,x,y) = y \ (x \ (z \ 1)). (x * (y * z)) \ (1 / a(x,y,z)) = z \ (y \ (x \ 1)). (x * (y * z)) \ (a(x,y,z) \ 1) = z \ (y \ (x \ 1)). x != (y * (1 / (z * y))) \ u | x = ((1 / z) \ u) * K(y,y \ 1). (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = ((1 / u) \ (y \ (x \ 1))) * K(z,z \ 1). 1 / ((x * (y * z)) * ((a(x,y,z) \ 1) \ (x * (y * z)))) = (z \ (y \ (x \ 1))) * (1 / (x * (y * z))). (x * (K(y,y \ 1) * z)) \ (a(K(y,y \ 1),x,z) \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). x != K(y,T((z / u) \ 1,w)) | x = K(y,T(u / z,w)). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). K(x,(y * z) \ (y * (u / y))) = K(x,T(u / (z * y),u / y)). K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). x != K(y,((z \ u) * z) \ w) | x = K(y,T(u,z) \ w). K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). (1 / (x * y)) * ((x * y) \ (a(x * y,x,y) \ 1)) = y \ (x \ (y \ (x \ 1))). (1 / (x * y)) * ((x * y) \ (1 \ 1)) = y \ (x \ (y \ (x \ 1))). (1 / (x * y)) * ((x * y) \ 1) = y \ (x \ (y \ (x \ 1))). (1 / (x * y)) * (y \ (x \ 1)) = y \ (x \ (y \ (x \ 1))). x != (1 / (y * z)) * (z \ (y \ 1)) | x = (y * z) \ (z \ (y \ 1)). x \ (y \ (x \ (y \ 1))) = (y * x) \ (x \ (y \ 1)). (x * y) \ (y \ (x \ 1)) = y \ (x \ (y \ (x \ 1))). x != ((y \ 1) * z) \ (z \ ((y \ 1) \ 1)) | x = ((z / y) * z) \ y. x \ ((y \ 1) \ (x \ ((y \ 1) \ 1))) = ((x / y) * x) \ y. x \ ((x / y) \ y) = ((x / y) * x) \ y. ((x / y) * x) \ y = x \ ((x / y) \ y). x / ((y \ z) * (y \ z)) = x * (z \ ((z / y) \ y)). (x / y) \ ((x / y) \ y) = y * (x \ ((x / y) \ y)). (x * (x * (y \ ((y / x) \ x)))) * z = (x * (x / y)) * (((x \ y) / x) \ z). ((x \ (y / z)) \ 1) / (z * ((x \ y) \ 1)) = a(z,y \ 1,(x \ 1) \ 1). (1 / ((x \ (y / z)) \ 1)) \ ((x \ y) / z) = a(z,y \ 1,(x \ 1) \ 1). (x \ (y / z)) \ ((x \ y) / z) = a(z,y \ 1,(x \ 1) \ 1). K(a(x,y,z),u \ 1) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). a(x,y,K(z,u \ 1)) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). a(x,y,K(z,u)) * (w * (a(u,y,z) \ 1)) = (a(x,y,K(z,u)) * w) / a(u,y,z). x * (y * (a(z,u,w) \ 1)) != (a(v5,u,K(w,z)) * y) / a(z,u,w) | x = K(a(z,u,w) \ 1,v5). a(x,y,K(z,u)) = K(a(u,y,z) \ 1,x). K(a(x,y,z) \ 1,u) = a(u,y,K(z,x)). T(T(x,a(y,z,u)),a(w,z,K(y,u))) = T(x,T(a(u,z,y) \ 1,w)). (1 / (a(x,y,z) / ((x * y) * z))) \ (x * (y * z)) = K((x * y) * z,(y * z) \ (x \ 1)). (x * (K(y,y \ 1) * z)) \ (a(y,x,K(z,y \ 1)) \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). (1 / (1 / (x * (y * z)))) \ (x * (y * z)) = K((x * y) * z,(y * z) \ (x \ 1)). K(x * (y * z),(x * (y * z)) \ 1) = K((x * y) * z,(y * z) \ (x \ 1)). K((x * y) * z,(y * z) \ (x \ 1)) = K(x * (y * z),(x * (y * z)) \ 1). K((x * y) * z,(y * z) \ (x \ 1)) = K(x * (y * z),(y * z) \ (x \ 1)). (x * (K(y,y \ 1) * z)) \ (1 \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). (x * (K(y,y \ 1) * z)) \ 1 = z \ (x \ (K(y,y \ 1) \ 1)). (K(x,x \ 1) * y) \ (z \ 1) = y \ (z \ (K(x,x \ 1) \ 1)). x != (K(y,y \ 1) * z) \ (u \ 1) | x = ((u * z) \ y) * (1 / y). x \ (y \ (K(z,z \ 1) \ 1)) = ((y * x) \ z) * (1 / z). x \ (y \ (K(z,z \ 1) * 1)) = ((y * x) \ z) * (1 / z). x \ (y \ K(z,z \ 1)) = ((y * x) \ z) * (1 / z). x \ ((y \ z) * (1 / z)) = ((y * x) \ z) * (1 / z). x \ ((y \ 1) * (z * (1 / (u * z)))) = ((((u \ 1) \ y) * x) \ z) * (1 / z). x != (y \ (z * u)) * (1 / (z * u)) | x = y \ K(u \ z,z \ u). x \ ((y \ (z * u)) * (1 / (z * u))) = (y * x) \ K(u \ z,z \ u). x != (y \ (1 / z)) \ (((u \ y) \ w) * (1 / w)) | x = (z * y) / (w * (1 / (((y \ 1) * u) * w))). (((x \ y) * (y \ (1 / z))) \ u) * (1 / u) = (z * y) / (u * (1 / (((y \ 1) * x) * u))). (x * y) / (z * (1 / (((y \ 1) * u) * z))) = (((u \ y) * (y \ (1 / x))) \ z) * (1 / z). x != (y * z) \ ((z \ y) * (1 / y)) | x = (y * (z * (y * z))) \ (1 / (y \ 1)). ((x * (y * x)) \ y) * (1 / y) = (y * (x * (y * x))) \ (1 / (y \ 1)). (x * (y * (x * y))) \ (1 / (x \ 1)) = ((y * (x * y)) \ x) * (1 / x). (1 / x) * (((y * (z / x)) \ u) * (1 / u)) = (((u * (1 / (x * u))) \ y) * z) \ x. x \ (y * (1 / (z * y))) = (z * x) \ K(y \ z,z \ y). (x * y) \ K(z \ x,x \ z) = y \ (z * (1 / (x * z))). (x * (y * z)) \ K(y \ x,x \ y) = (z \ (1 / y)) / x. x != (y * (z * u)) \ K(z \ y,y \ z) | x = L(u,z,y) \ (1 / (y * z)). (x \ (1 / y)) / z = L(x,y,z) \ (1 / (z * y)). L(x,y,z) \ (1 / (z * y)) = (x \ (1 / y)) / z. (x * y) \ K((y / z) \ x,x \ (y / z)) = (z \ (1 / (y / z))) / x. ((x \ (1 / y)) / z) * (z * y) = L(x,y,z) \ 1. ((x / y) / z) * (z * y) = L(1 / x,y,z) \ 1. L(x,y,z) = L(1 / x,y,z) \ 1. L(1 / x,y,z) \ 1 = L(x,y,z). L(1 / x,y,z) \ 1 != u | L(x,y,z) = u. L(x,y,z) \ 1 = L(x \ 1,y,z). L(x \ 1,y,z) = L(x,y,z) \ 1. x / L(y,z,u) = (1 / x) \ L(1 / y,z,u). (1 / x) \ L(1 / y,z,u) = x / L(y,z,u). (x * y) / (y * L(y \ 1,z,u)) = x * L(y,z,u). x * L(x \ 1,y,z) = L(x,y,z) \ x. (x * y) / (L(y,z,u) \ y) = x * L(y,z,u). (x * L(y,z,u)) \ (x * y) = L(y,z,u) \ y. (x * y) / (L(y,z,u) \ y) != w | w = x * L(y,z,u). (x * y) / (L(y,z,u) \ y) != w | x * L(y,z,u) = w. (x * (y * (x * y))) \ x = ((y * (x * y)) \ x) * (1 / x). ((x * (y * x)) \ y) * (1 / y) = (y * (x * (y * x))) \ y. x != (y * (z * (y * z))) \ y | x = 1 / (z * (y * z)). ((x * (y * x)) \ y) * (1 / y) = 1 / (x * (y * x)). x * y != ((z * (u * z)) \ u) * (1 / u) | x \ (1 / (z * (u * z))) = y. x \ (1 / (y * (x * y))) = 1 / (((y / (1 / x)) * y) * x). 1 / (((x / (1 / y)) * x) * y) = y \ (1 / (x * (y * x))). x != 1 / (((y / (1 / z)) * y) * z) | x = (z \ (1 / (z * y))) / y. x \ (1 / (y * (x * y))) = (x \ (1 / (x * y))) / y. (x \ (1 / (x * y))) / y = x \ (1 / (y * (x * y))). 1 / (((x / (1 / ((1 / x) * y))) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). 1 / (((x / (1 / (x \ y))) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). (((1 / x) * y) \ (1 / T(y,x))) / x = ((1 / x) * y) \ (1 / (x * (((1 / x) * y) * x))). ((1 / x) * y) \ (1 / (x * (((1 / x) * y) * x))) = (((1 / x) * y) \ (1 / T(y,x))) / x. ((x \ 1) * ((x \ 1) * y)) / y = ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))). ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = ((x \ 1) * ((x \ 1) * y)) / y. (((x \ y) / z) * (x \ y)) / z = (y \ x) \ (1 / (z * ((y \ x) * z))). (x \ y) \ (1 / (z * ((x \ y) * z))) = (((y \ x) / z) * (y \ x)) / z. (x * y) \ K((y / z) \ x,x \ (y / z)) = (z * (1 / (y * z))) / x. (x \ y) \ (1 / (x * ((x \ y) * x))) = (((x * y) \ x) * (y \ x)) / x. x != (y * (1 / (z * y))) / u | x = y * (1 / ((u * z) * y)). (x * y) \ K((y / z) \ x,x \ (y / z)) = z * (1 / ((x * y) * z)). (x \ y) \ (1 / (x * ((x \ y) * x))) = ((y \ x) / T(y,x)) / x. x != (y * z) \ K(u \ y,y \ u) | x = z \ (u * (1 / (y * u))). x * (1 / ((y * z) * x)) = z \ ((z / x) * (1 / (y * (z / x)))). x \ ((x / y) * (1 / (z * (x / y)))) = y * (1 / ((z * x) * y)). x \ (K(y \ x,x \ y) / z) = y * (1 / ((z * x) * y)). x * y != z \ (K(u \ z,z \ u) / w) | x \ (u * (1 / ((w * z) * u))) = y. (x \ (1 / y)) \ (z * (1 / ((y * x) * z))) = K(z \ x,x \ z). x * (y * (1 / ((z * x) * y))) = K(y \ x,x \ y) / z. (1 / x) * (K(y \ z,z \ y) / u) = y * (1 / (((z * (1 / (u * z))) \ x) * y)). x * (1 / (((y * (1 / (z * y))) \ u) * x)) = (1 / u) * (K(x \ y,y \ x) / z). x != ((y * y) \ (1 / z)) \ (u * (1 / ((z * (y * y)) * u))) | x = K(u,u \ 1). K(x \ (y * y),(y * y) \ x) = K(x,x \ 1). x != K(y \ (z * z),(z * z) \ y) | x = K(z * (z / y),z \ (z \ y)). K(x,x \ 1) = K(y * (y / x),y \ (y \ x)). K(x * (x / y),x \ (x \ y)) = K(y,y \ 1). K(x * (y \ x),x \ (y / x)) = K(y,y \ 1). ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(y,y \ 1) * z. ((((x \ 1) \ y) * (y \ (1 / z))) \ u) * (1 / u) = (z * y) / ((u * (1 / (x * u))) \ y). x != (1 / y) * (((z * (u / y)) \ w) * (1 / w)) | x = ((((y * (1 / u)) / z) \ y) \ w) * (1 / w). (((x * (1 / (y * x))) \ z) * u) \ y = ((((y * (1 / u)) / z) \ y) \ x) * (1 / x). ((((x * (1 / y)) / z) \ x) \ u) * (1 / u) = (((u * (1 / (x * u))) \ z) * y) \ x. ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = y / ((x \ 1) \ ((x \ 1) \ y)). ((1 / x) * (K(y \ y,y \ y) / (z * (u * x)))) \ (1 / x) = L(z,x,x) * (u / (1 / x)). (((x / y) * (y * z)) \ u) * (1 / u) = (((u * (1 / (y * u))) \ x) * z) \ y. (((x * (1 / (y * x))) \ z) * u) \ y = (((z / y) * (y * u)) \ x) * (1 / x). 1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x) = x \ (y \ ((y * z) * u)). ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = y / (x * (((x \ 1) \ 1) * y)). x != y / (z * (((z \ 1) \ 1) * y)) | x = z \ (y \ (y / z)). ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = x \ (y \ (y / x)). ((x \ y) \ 1) \ (1 / ((y \ (x \ 1)) \ 1)) = x \ (y \ (y / x)). ((x \ y) \ 1) \ (y \ (x \ 1)) = x \ (y \ (y / x)). x != 1 / (((((y * (1 / (z * y))) \ u) * L(w,z,z)) \ z) * y) | x = 1 / (((w \ (u \ (y * (1 / (z * y))))) * z) * y). x \ (y \ ((y * z) * u)) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). 1 / (((x \ (y \ (z * (1 / (u * z))))) * u) * z) = z \ (u \ ((u * y) * x)). x * y != z \ (u \ ((u * w) * v5)) | x \ (1 / (((v5 \ (w \ (z * (1 / (u * z))))) * u) * z)) = y. x \ (1 / (((y \ (z \ ((1 / x) * (1 / ((1 / x) * (1 / x)))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). x * (x \ (y \ ((y * z) * x))) = (z * (1 / (y / x))) / (x * (1 / (y * x))). (x * (1 / (y / z))) / (z * (1 / (y * z))) = z * (z \ (y \ ((y * x) * z))). (x * (1 / (y / z))) / (z * (1 / (y * z))) = y \ ((y * x) * z). (x * (1 / (y / z))) / (z * (1 / (y * z))) = u * (u \ (y \ ((y * x) * z))). (x * (1 / (y / z))) / (z * (1 / (y * z))) = u * (1 / (((z \ (x \ (u * (1 / (y * u))))) * y) * u)). x != (y * z) / (u * (1 / (((z \ 1) * w) * u))) | x = (y / ((((w \ u) * (1 / u)) \ z) \ 1)) * (z \ 1). (((x \ y) * (y \ (1 / z))) \ u) * (1 / u) = (z / ((((x \ u) * (1 / u)) \ y) \ 1)) * (y \ 1). (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (((y \ u) * (u \ (1 / x))) \ z) * (1 / z). 1 / (((x / ((1 / y) * x)) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). ((1 / x) * y) \ (1 / (x * (((1 / x) * y) * x))) = ((y \ x) / T(y,x)) / x. ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) / T(y,x)) / x. ((1 / x) * y) \ (1 / (y * x)) = ((y \ x) / T(y,x)) / x. (x \ y) / (x * y) = ((x \ y) / T(x,y)) / y. ((x \ y) / T(x,y)) / y = (x \ y) / (x * y). x != ((y \ z) / T(y,z)) / z | x = (z \ y) \ (1 / (z * ((z \ y) * z))). (x \ y) / (x * y) = (y \ x) \ (1 / (y * ((y \ x) * y))). (x \ y) \ (1 / (x * ((x \ y) * x))) = (y \ x) / (y * x). 1 / (((x \ (x / (1 / y))) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). 1 / (((x * ((y \ x) \ 1)) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). 1 / (((x \ 1) \ y) * (y \ x)) = (y \ x) \ (1 / (y * ((y \ 1) * (x * y)))). (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))) = 1 / (((y \ 1) \ x) * (x \ y)). (x \ y) \ (1 / (y / (1 / x))) = 1 / (((y \ 1) \ x) * (x \ y)). 1 / (((x \ 1) \ y) * (y \ x)) = (y \ x) \ (1 / (x / (1 / y))). 1 / (((x \ 1) \ y) * (y \ x)) = (y \ x) \ ((y \ 1) * (1 / x)). 1 / ((x / y) \ (x * y)) = (x \ y) \ ((x \ 1) * (1 / y)). (x \ y) \ ((x \ 1) * (1 / y)) = 1 / ((x / y) \ (x * y)). (x \ y) \ ((x \ 1) * (1 / y)) != z | (1 / (x * y)) * (x / y) = z. ((1 / x) * (1 / (y * (z * x)))) \ (1 / x) = L(y,x,x) * (z / (1 / x)). L(x * (y * z),z,z) = L(x,z,z) * (y / (1 / z)). L(x,y,y) * (z / (1 / y)) = L(x * (z * y),y,y). L(x,y,y) * ((1 / y) / ((1 / y) * (z \ u))) = L(x * (((1 / y) * ((1 / u) * z)) * y),y,y). L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * ((1 / y) / ((1 / y) * (u \ z))). x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). 1 / (((x / (((y \ x) \ 1) \ 1)) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). ((1 / x) \ (((y \ z) * (1 / z)) \ u)) * (u \ 1) = (((y \ u) * (u \ (1 / x))) \ z) * (1 / z). L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * (1 / T(u \ z,y / 1)). L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * (1 / T(u \ z,y)). L(x * T((1 / y) * z,u),u,u) = L(x,u,u) * (1 / T(z \ y,u)). x * ((x \ y) * L(z * T((1 / (y \ x)) * z,x),x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). 1 / ((((1 / x) \ ((y \ x) \ 1)) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). (((x \ y) * (y \ (1 / z))) \ u) * (1 / u) = y * (((1 / z) * y) \ (((x \ u) * (1 / u)) \ 1)). x * (((1 / y) * x) \ (((z \ u) * (1 / u)) \ 1)) = (((z \ x) * (x \ (1 / y))) \ u) * (1 / u). 1 / ((x * (((y \ x) \ 1) * x)) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). 1 / (((x \ (y \ 1)) \ 1) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). ((1 / x) * y) \ (1 / (x * T(y,x))) = 1 / (((x \ (y \ 1)) \ 1) * ((1 / x) * y)). ((1 / x) * y) \ (1 / (x * T(y,x))) = 1 / (1 / ((y \ x) / (y * x))). x != 1 / (1 / y) | x = (y \ 1) \ 1. ((1 / x) * y) \ (1 / (x * T(y,x))) = (((y \ x) / (y * x)) \ 1) \ 1. ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y * x) * ((y \ x) \ 1)) \ 1. ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) \ 1) \ ((y * x) \ 1). ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) \ 1) \ (x \ (y \ 1)). ((1 / x) * y) \ (1 / (y * x)) = ((y \ x) \ 1) \ (x \ (y \ 1)). ((x \ y) \ 1) \ (y \ (x \ 1)) = ((1 / y) * x) \ (1 / (x * y)). x != ((1 / y) * z) \ (1 / u) | x = (z \ y) / u. ((x \ y) \ 1) \ (y \ (x \ 1)) = (x \ y) / (x * y). x != ((y \ z) \ 1) \ (z \ (y \ 1)) | x = y \ (z \ (z / y)). (x \ y) / (x * y) = x \ (y \ (y / x)). x != (y \ z) / (y * z) | x = (z \ y) \ (1 / (z * ((z \ y) * z))). x \ (y \ (y / x)) = (y \ x) \ (1 / (y * ((y \ x) * y))). (x \ y) \ (1 / (x * ((x \ y) * x))) = y \ (x \ (x / y)). (x \ y) \ (1 / (y / (1 / x))) = y \ (x \ (x / y)). (x \ y) \ ((x \ 1) * (1 / y)) = y \ (x \ (x / y)). (1 / (x * y)) * (x / y) = y \ (x \ (x / y)). x * (((1 / y) * x) \ ((1 / z) \ ((u \ z) \ 1))) = (((u \ x) * (x \ (1 / y))) \ z) * (1 / z). x * (((1 / y) * x) \ (z * (((z \ u) \ 1) \ 1))) = (((u \ x) * (x \ (1 / y))) \ z) * (1 / z). x * ((x \ y) / (z * (1 / (u * z)))) = (((u \ x) * (x \ (1 / y))) \ z) * (1 / z). (((x \ y) * (y \ (1 / z))) \ u) * (1 / u) = y * ((y \ z) / (u * (1 / (x * u)))). x != ((((y \ 1) \ z) * (z \ (1 / u))) \ w) * (1 / w) | x = (u * z) / ((w * (1 / (y * w))) \ z). x * ((x \ y) / (z * (1 / ((u \ 1) * z)))) = (y * x) / ((z * (1 / (u * z))) \ x). x * ((x \ y) / (K(z,z \ 1) * u)) = (y * x) / ((z * (1 / (u * z))) \ x). (x * y) / ((z * (1 / (u * z))) \ y) = y * ((y \ x) / (K(z,z \ 1) * u)). (x * y) / ((z * (1 / (u * z))) \ y) = y * (K(z,z \ 1) * ((y \ x) / u)). (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = K(u,u \ 1) * (y * (K(u,u \ 1) * ((y \ x) / z))). x != y * (1 / ((z * u) * y)) | x = (y * (1 / (u * y))) / z. (x * (1 / (y / z))) / (z * (1 / (y * z))) = (u * (1 / (y * u))) / (z \ (x \ (u * (1 / (y * u))))). 1 / ((x * (y * z)) * ((x * y) * z)) = (z \ (y \ (x \ 1))) * (1 / (x * (y * z))). (x \ (y \ (z \ 1))) * (1 / (z * (y * x))) = 1 / ((z * (y * x)) * ((z * y) * x)). (x \ (y \ (z \ 1))) * (1 / (z * (y * x))) = 1 / (((z * y) * x) * (z * (y * x))). x * (1 / y) != 1 / (z * y) | x = T(1 / z,y). x \ (y \ (z \ 1)) = T(1 / ((z * y) * x),z * (y * x)). T(1 / ((x * y) * z),x * (y * z)) = z \ (y \ (x \ 1)). x * y != T(1 / ((z * u) * w),z * (u * w)) | (w \ (u \ (z \ 1))) / y = x. (x \ (y \ (z \ 1))) / (1 / ((z * y) * x)) = K(1 / ((z * y) * x),z * (y * x)). ((x * y) * z) \ (1 / (1 / ((x * y) * z))) = K(1 / ((x * y) * z),x * (y * z)). ((x * y) * z) \ ((z \ ((x * y) \ 1)) \ 1) = K(1 / ((x * y) * z),x * (y * z)). ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K(1 / ((x * y) * z),x * (y * z)). x != K(1 / y,z) | x = K(y,z \ 1). ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K((x * y) * z,(x * (y * z)) \ 1). ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K((x * y) * z,(y * z) \ (x \ 1)). x != K((y * z) * u,(z * u) \ (y \ 1)) | x = K(y * (z * u),(z * u) \ (y \ 1)). ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K(x * (y * z),(y * z) \ (x \ 1)). x != ((y * z) * u) \ ((u \ (z \ (y \ 1))) \ w) | x = ((y * z) * u) * ((1 / ((y * z) * u)) * w). K(x * (y * z),(y * z) \ (x \ 1)) = ((x * y) * z) * ((1 / ((x * y) * z)) * 1). ((x * y) * z) * ((1 / ((x * y) * z)) * 1) = K(x * (y * z),(y * z) \ (x \ 1)). ((x * y) * z) * (1 / ((x * y) * z)) = K(x * (y * z),(y * z) \ (x \ 1)). K(x * (y * z),(y * z) \ (x \ 1)) = ((x * y) * z) * (1 / ((x * y) * z)). K(x * (y * z),(y * z) \ (x \ 1)) = K((x * y) * z,((x * y) * z) \ 1). K((x * y) * z,((x * y) * z) \ 1) = K(x * (y * z),(y * z) \ (x \ 1)). K((x * y) * z,z \ ((x * y) \ 1)) = K(x * (y * z),(y * z) \ (x \ 1)). K((x * y) * z,z \ (y \ (x \ 1))) = K(x * (y * z),(y * z) \ (x \ 1)). K((x * y) * z,z \ (y \ (x \ 1))) != u | K((y * z) \ x,x \ (y * z)) = u. x * ((x \ y) * L(z * T(((1 / x) * y) * z,x),x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). x / ((y * T(((1 / x) * z) * y,x)) \ (z \ x)) = ((x \ z) * L(y,x,x)) * (x / (y \ (z \ x))). x != ((y \ z) * L(u,y,y)) * (y / (u \ (z \ y))) | x = (y \ (z * (u * y))) * ((y \ z) * L(u,y,y)). x / ((y * T(((1 / x) * z) * y,x)) \ (z \ x)) = (x \ (z * (y * x))) * ((x \ z) * L(y,x,x)). x / ((T(y / (z \ x),x) * y) \ (z \ x)) = (x \ (z * (y * x))) * ((x \ z) * L(y,x,x)). (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = x / ((T(z / (y \ x),x) * z) \ (y \ x)). x != y / ((T(z / u,w) * z) \ u) | x = y * ((u \ z) * T(u \ z,w)). (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = x * (((y \ x) \ z) * T((y \ x) \ z,x)). x != y * (z * T(z,y)) | x = z * (y * z). (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = ((y \ x) \ z) * (x * ((y \ x) \ z)). x != (y \ (z * (u * y))) * ((y \ z) * L(u,y,y)) | x = ((y \ z) * L(u,y,y)) * (y / (u \ (z \ y))). ((x \ y) \ z) * (y * ((x \ y) \ z)) = ((y \ x) * L(z,y,y)) * (y / (z \ (x \ y))). ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). x != ((y \ z) * L(u,y,y)) * (y / (u \ (z \ y))) | x = (y \ z) * (L(u,y,y) * ((y * (y \ z)) * L(u,y,y))). ((x \ y) \ z) * (y * ((x \ y) \ z)) = (y \ x) * (L(z,y,y) * ((y * (y \ x)) * L(z,y,y))). (x \ y) * (L(z,x,x) * ((x * (x \ y)) * L(z,x,x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). (x \ y) * (L(z,x,x) * (y * L(z,x,x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). (x \ y) * (z * (y * z)) = ((y \ x) \ z) * (x * ((y \ x) \ z)). ((x \ y) \ z) * (y * ((x \ y) \ z)) = (y \ x) * (z * (x * z)). x != (y \ (z \ (u \ 1))) * K(w,v5) | x = ((u * z) * y) \ K(w,v5). (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = ((x * y) * (1 / u)) \ K(z,z \ 1). (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = (((x * y) * (1 / u)) \ z) * (1 / z). x != (y * (z * u)) \ (a(y,z,u) \ 1) | x = u \ (z \ (y \ 1)). (((x * y) * (1 / z)) \ u) * (1 / u) = (u * (1 / (z * u))) \ (y \ (x \ 1)). (x * (1 / (y * x))) \ (z \ (u \ 1)) = (((u * z) * (1 / y)) \ x) * (1 / x). K(x \ (y * z),(y * z) \ x) = (((y * z) * (1 / (y * z))) \ x) * (1 / x). (((x * y) * (1 / (x * y))) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). (K(x * y,(x * y) \ 1) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). (K(x * y,y \ (x \ 1)) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). (K(x \ y,y \ x) \ z) * (1 / z) = K(z \ (y * x),(y * x) \ z). (K(x \ y,y \ x) * z) * (1 / z) = K(z \ (x * y),(x * y) \ z). K(x \ (y * z),(y * z) \ x) \ u = K(y \ z,z \ y) * (K(x,x \ 1) * u). K(x \ y,y \ x) * (K(z,z \ 1) * u) = K(z \ (x * y),(x * y) \ z) \ u. x != (y * z) * (1 / z) | x = z * ((1 / z) * y). K(x \ (y * z),(y * z) \ x) = x * ((1 / x) * K(y \ z,z \ y)). x * ((1 / x) * K(y \ z,z \ y)) = K(x \ (y * z),(y * z) \ x). x != y * ((1 / y) * K(z \ u,u \ z)) | x = (z * (u \ 1)) * ((1 / (z * (u \ 1))) * K(y,y \ 1)). K(x \ (y * z),(y * z) \ x) = (y * (z \ 1)) * ((1 / (y * (z \ 1))) * K(x,x \ 1)). (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = K(z \ (x * y),(x * y) \ z). x * (K(y \ z,z \ y) / x) = K(x \ (y * z),(y * z) \ x). K(x \ (y * z),(y * z) \ x) = x * (K(y \ z,z \ y) / x). K(x \ (y * z),(y * z) \ x) / (u * w) = x * (1 / ((u * (w * K(y \ z,z \ y))) * x)). x * (1 / ((y * (z * K(u \ w,w \ u))) * x)) = K(x \ (u * w),(u * w) \ x) / (y * z). x != y * (K(z \ u,u \ z) / y) | x = K((u * z) * y,y \ (z \ (u \ 1))). K(x \ (y * z),(y * z) \ x) = K((z * y) * x,x \ (y \ (z \ 1))). K((x * y) * z,z \ (y \ (x \ 1))) = K(z \ (y * x),(y * x) \ z). K((x * y) \ z,z \ (x * y)) = K(y \ (x * z),(x * z) \ y). x * y != K((z * u) \ w,w \ (z * u)) | K(u \ (z * w),(z * w) \ u) / y = x. K(x \ (y * z),(y * z) \ x) / z = (z \ (y * x)) * (1 / (y * x)). K(x \ ((1 / y) * z),(z \ y) * x) / z = (z \ ((1 / y) * x)) * (1 / ((1 / y) * x)). K(x \ y,y \ x) * (K(z,z \ 1) * u) = K((x * y) \ z,z \ (x * y)) * u. K(x \ y,y \ x) * (K(z,z \ 1) * u) = K(y \ (x * z),(x * z) \ y) * u. (x * (y \ 1)) * ((y / x) * K(z,z \ 1)) = K(z \ (x * y),(x * y) \ z). x != (y * (z \ 1)) * ((z / y) * u) | x = (z \ y) * (((1 / y) * z) * u). K(x \ (y * z),(y * z) \ x) = (z \ y) * (((1 / y) * z) * K(x,x \ 1)). (x \ y) * (((1 / y) * x) * K(z,z \ 1)) = K(z \ (y * x),(y * x) \ z). x != (y * (z \ 1)) * ((z / y) * u) | x = (z / y) * ((1 / (z / y)) * u). K(x \ (y * z),(y * z) \ x) = (z / y) * ((1 / (z / y)) * K(x,x \ 1)). (x / y) * ((1 / (x / y)) * K(z,z \ 1)) = K(z \ (y * x),(y * x) \ z). (x \ y) * ((1 / y) * (K(z,z \ 1) * x)) = K(z \ (y * x),(y * x) \ z). (x / y) * (z * (1 / ((x / y) * z))) = K(z \ (y * x),(y * x) \ z). K(x \ (y / z),(y / z) \ x) = K(x \ (z * y),(z * y) \ x). (x \ y) * (z * (1 / ((x \ y) * z))) = K(z \ (y * x),(y * x) \ z). K(x \ (y \ z),(y \ z) \ x) = K(x \ (z * y),(z * y) \ x). x != ((y \ 1) \ z) * (u * (1 / (((y \ 1) \ z) * u))) | x = K(z \ y,y \ z) * K(u,u \ 1). K(x \ (y * (z \ 1)),(y * (z \ 1)) \ x) = K(y \ z,z \ y) * K(x,x \ 1). x != K(y \ (z \ u),(z \ u) \ y) | x = K((z \ u) * y,y \ ((u \ 1) * z)). K(x \ (y * z),(y * z) \ x) = K((z \ y) * x,x \ ((y \ 1) * z)). K((x \ y) * z,z \ ((y \ 1) * x)) = K(z \ (y * x),(y * x) \ z). K(x \ (y * (z / x)),(y * (z / x)) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). K(x \ (y * (z \ 1)),(z / y) * x) = K(y \ z,z \ y) * K(x,x \ 1). K((x / y) * z,((x / y) * z) \ 1) = K(y \ x,x \ y) * K(z,z \ 1). K((x / y) * z,z \ ((x / y) \ 1)) = K(y \ x,x \ y) * K(z,z \ 1). K((x / y) * z,z \ (y * (x \ 1))) = K(y \ x,x \ y) * K(z,z \ 1). x != K((y / z) * u,u \ (z * (y \ 1))) | x = K((y / z) \ u,u \ (y / z)). K(x \ y,y \ x) * K(z,z \ 1) = K((y / x) \ z,z \ (y / x)). K((x / y) \ z,z \ (x / y)) * u = K(y \ x,x \ y) * (K(z,z \ 1) * u). K(x \ y,y \ x) * (K(z,z \ 1) * u) = K((y / x) \ z,z \ (y / x)) * u. x * y != K(z \ u,u \ z) * (K(w,w \ 1) * y) | x = K(u \ (z * w),(z * w) \ u). K((x / y) \ z,z \ (x / y)) = K(x \ (y * z),(y * z) \ x). (K(x \ (y * z),(y * z) \ x) / (u * w)) * u = K((x / y) \ z,z \ (x / y)) / w. K(x \ ((1 / y) * z),(z \ y) * x) / z = (z \ ((1 / y) * x)) * (((x \ y) \ 1) \ 1). x != (y \ ((1 / z) * u)) * (((u \ z) \ 1) \ 1) | x = y \ K(z \ u,u \ z). K(x \ ((1 / y) * z),(z \ y) * x) / z = z \ K(y \ x,x \ y). K((x \ y) * z,((x \ y) * z) \ 1) / x = x \ K(y \ z,z \ y). K((x \ y) * z,z \ ((x \ y) \ 1)) / x = x \ K(y \ z,z \ y). K(x \ (y \ z),(y \ z) \ x) / y = y \ K(z \ x,x \ z). T(x,(y * z) \ K(u \ w,w \ u)) = T(x,z \ (y \ 1)). ((x \ y) * z) * (1 / ((u * x) * ((x \ y) * z))) = (x \ K(y \ z,z \ y)) / u. (1 / T(x,y \ (z \ 1))) \ (z * (y * K(u \ w,w \ u))) = (z * (y * K(u \ w,w \ u))) * x. K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(z,z * u)) = T(y,K(z * u,z) * x). K(T(x,K(y,z) * (u * K(w,v5))),v5) = K(u \ T(x * T(u * K(w,v5),K(z,y)),K(z,y)),v5). K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(T(y,K(v5,w) * (x * K(z,u))),u). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). x != y \ T(z * T(y,K(u,w)),K(u,w)) | x = T(z,K(w,u) * y). T(x,K(y,z) * u) = T(x,K(z,y) * u). x * T(y,K(z,u) * x) = T(y * T(x,K(z,u)),K(z,u)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). x * y != T(z,K(u,w) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). T(x,T(y,z) * u) = T(x,K(z,y) * (y * u)). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). K(x,K(y,z) * u) = K(x,K(z,y) * u). x != K(y,K(z,u \ 1) * w) | x = K(y,K(u,z) * w). K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). K(x,T(y,z) \ u) = K(x,K(y,z) * (y \ u)). K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). K(x,T(y / z,T(u,z))) = K(x,K(u,z \ y) * (y / z)). K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). T(x,((y * z) / y) * u) = T(x,T(z,y) * u). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). K(x,y * T(y \ (z \ y),u)) = K(x,K(z,u) * (z \ y)). K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). T(x,y * z) = T(x,T(T(y,u),u) * z). T(x,T(T(y,z),z) * u) = T(x,y * u). T(x,y * T(T(z,u),u)) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). K(x,y / ((z * u) / z)) = K(x,T(u,z) \ T(y,(z * u) / z)). K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. T(x,y * z) = T(x,y * T(T(z,u),u)). T(x,y * T(T(z,u),u)) = T(x,y * z). T(x,y * T(z,u)) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). K(x * ((y * z) / y),u) = K(x * T(z,y),u). K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). x != K(y,(L(z,u,z) * w) \ v5) | x = K(y,(z * w) \ v5). K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). x != K(y,K(z,u \ w) * (w / u)) | x = K(y,T(w / u,T(z \ (u \ w),u))). K(x,T(y / z,T(u,z))) = K(x,T(y / z,T(u \ (z \ y),z))). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). K(x,K(y * K(z,y),u) * z) = K(x,(z * y) * T((z * y) \ ((y * K(z,y)) \ (z * y)),u)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). x != K(y,T(z / u,z / (u * w))) | x = K(y,(u * K(u * w,w \ 1)) \ ((u * w) * (z / (u * w)))). K(x,T(y / z,T(u,z))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y / z,y / (((u \ 1) \ 1) \ z))) = K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). T(x,K(y * z,y) * u) = T(x,K(z,y) * u). x != T(y,K(z,u) * w) | x = T(y,K(u,z) * w). T(x,K(y,z) * u) = T(x,K(z,z * y) * u). T(x,K(y,y * z) * u) = T(x,K(z,y) * u). T(x,y * K(z,z * u)) = T(T(x,K(y,K(z,u))),K(u,z) * y). T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). T(x,y * K(z,u)) = T(x,y * K(u,u * z)). T(x,y * K(z,z * u)) = T(x,y * K(u,z)). T(x,y * K(z,u)) = T(x,y * K(z \ 1,u)). T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). K(x,(y * K(z,u)) \ w) = K(x,(K(z,u \ K(u,y)) * y) \ w). K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). K(x \ K(y,z \ 1),u) = K(x \ (z * T(z \ 1,y)),u). K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u \ 1,z)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). K(x,y \ K(z \ 1,u)) != w | K(x,y \ K(z,u)) = w. x != K(y,(z * K(u,w \ 1)) \ v5) | x = K(y,(z * K(u,w)) \ v5). K(x,T(y / z,T(u,z))) = K(x,(z * K(z * u,u)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). x != K(y,(z * K(u * w,w)) \ v5) | x = K(y,(z * K(u,w)) \ v5). K(x,T(y / z,T(u,z))) = K(x,(z * K(z,u)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). x != K(T(y,z * (u * K(w,v5))),v5) | x = K(y,T(v5,z * u)). K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(v5,w) * x)). K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(w,v5) * x)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). 1 / K(x,y * K(z,u)) = K(y * K(z \ 1,u),x). K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). K(x * K(y \ 1,z),u) = K(x * K(y,z),u). x != K(y * K((y \ z) \ 1,u),T(w,z)) | x = K(z * T(y / z,u),w). K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). x != K((y \ 1) * T(z / (y \ 1),u),w) | x = K(y \ T(z * y,u),w). K(((x * y) / x) / z,u) = K(z \ T((z \ y) * z,x),u). K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). K(T(x,y) / z,u) = K(((y * x) / y) / z,u). K(((x * y) / x) / z,u) = K(T(y,x) / z,u). x != K(((y * z) / y) / T(u,T(z,y)),w) | x = K(T(z * K(y,z),u) / u,w). K(T(x,y) / T(z,T(x,y)),u) = K(T(x * K(y,x),z) / z,u). K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). K(x \ (y * K(z,y)),u) = K(T(y,z) / T(x,T(y,z)),u). K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). K(x \ T(y,z),u) = K(x \ (y * K(z,y)),u). K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). K(x \ y,z) = K(x \ T(T(y,u),u),z). K(x \ T(T(y,z),z),u) = K(x \ y,u). 1 / K(x \ y,z) = K(z,x \ T(T(y,u),u)). K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). K(x,y \ T(T(z,u),u)) = K(x,y \ z). K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). K(x,y \ T(z,u)) = K(x,y \ (z * K(u,z))). K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). x != K(y,(z \ u) \ K(w,z)) | x = K(y,u \ T(z,w)). K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,u \ 1)). K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). x != K(y,z \ T(u * w,u)) | x = K(y,z \ (w * u)). K(x,y \ (z * (u / z))) = K(x,y \ ((u / T(z,u)) * z)). K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). K(x,y \ T(z,u)) = K(x,y \ (u * (z / u))). K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). x != K(y,T(z,u) \ ((u * z) * (w / (u * z)))) | x = K(y,T(w / z,u)). K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,u \ 1)) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). x != K(y,T(z,u \ 1)) | x = K(y,T(z,u)). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). x != K(y,T(z / u,z / (w \ u))) | x = K(y,T(u,w) \ ((w \ u) * (z / (w \ u)))). K(x,T(y / z,u)) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). x != K(y,T(z,u \ z) \ w) | x = K(y,T(z,u) \ w). K(x,T(y / z,T(z,u) / u)) = K(x,T(z,u) \ (T(u,z) * (y / T(u,z)))). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). x != K(y,z \ (u * (w / u))) | x = K(y,z \ T(w,u)). K(x,T(y / z,u \ z)) = K(x,T(z,u) \ T(y,T(u,z))). K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). x != K(y,T(z,z \ u) \ w) | x = K(y,((z \ u) \ u) \ w). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(((z * u) \ u) \ u) \ T(y,u * K(z \ 1,u * z))). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). x != K(y,T(z * u,u) \ w) | x = K(y,(u * z) \ w). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). K(x,(y * K(z \ 1,y * z)) \ T(u,T((y * z) \ y,y * z))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). x != K(y,y \ 1) * (z * (K(y,y \ 1) * u)) | x = z * u. (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = y * ((y \ x) / z). (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = y * ((y \ x) / u). x \ (K(y \ z,z \ y) / u) = (x \ K(y \ z,z \ y)) / u. (x \ K(y \ z,z \ y)) / u = x \ (K(y \ z,z \ y) / u). x != (y / (((z \ u) * (1 / u)) * w)) * ((z \ u) * (1 / u)) | x = (y * z) / ((1 / w) \ z). x * ((x \ y) / z) = (y * x) / ((1 / z) \ x). (x * y) / ((1 / z) \ y) = y * ((y \ x) / z). x != (y * z) / ((1 / u) \ z) | x = (y / ((1 / z) * u)) * (1 / z). x * ((x \ y) / z) = (y / ((1 / x) * z)) * (1 / x). (x / ((1 / y) * z)) * (1 / y) = y * ((y \ x) / z). ((x * (1 / y)) / ((1 / z) \ (1 / y))) * z = z \ ((z / y) * ((1 / y) \ x)). x != (y \ K(z \ u,u \ z)) / w | x = ((y \ z) * u) * (1 / ((w * y) * ((y \ z) * u))). x \ (K(y \ z,z \ y) / u) = ((x \ y) * z) * (1 / ((u * x) * ((x \ y) * z))). ((x \ y) * z) * (1 / ((u * x) * ((x \ y) * z))) = x \ (K(y \ z,z \ y) / u). x != (y \ K(z \ u,u \ z)) / w | x = ((1 / u) * z) * (1 / ((w * ((y \ 1) \ 1)) * ((1 / u) * z))). x \ (K(y \ z,z \ y) / u) = ((1 / z) * y) * (1 / ((u * ((x \ 1) \ 1)) * ((1 / z) * y))). ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = u \ (K(y \ x,x \ y) / z). ((x * (1 / y)) / (z / y)) * z = z \ ((z / y) * ((1 / y) \ x)). x \ ((x / y) * ((1 / y) \ z)) = ((z * (1 / y)) / (x / y)) * x. x \ ((x / y) * ((1 / y) \ z)) = ((z / (y * x)) * y) * x. x != y \ ((z / u) * ((1 / u) \ w)) | x = y \ (u \ ((u * z) * w)). ((x / (y * z)) * y) * z = z \ (y \ ((y * z) * x)). x \ (y \ ((y * x) * z)) = ((z / (y * x)) * y) * x. x \ ((x / y) * (y * ((y \ 1) \ z))) = (((y * z) / (y * x)) * y) * x. x * (((y / (z * x)) * z) * x) = z \ ((z * x) * y). x \ (y / (z \ (x \ y))) = ((z / ((1 / y) * x)) * (1 / y)) * x. ((x / ((1 / y) * z)) * (1 / y)) * z = z \ (y / (x \ (z \ y))). x \ (y \ ((y * x) * z)) != u | u = ((z / (y * x)) * y) * x. x \ (y \ ((y * x) * z)) != u | ((z / (y * x)) * y) * x = u. L(x,y,y) * (((z / ((1 / y) \ x)) * y) * L(x,y,y)) = y \ ((y * L(x,y,y)) * z). x * (((L(1 / y,z * x,y) / (z * x)) * z) * x) = z \ ((z * x) / y). (x * ((x \ y) / z)) * z = z \ (x / (y \ (z \ x))). x \ (y / (z \ (x \ y))) = (y * ((y \ z) / x)) * x. L((x \ 1) \ y,x,x \ z) = (((x * y) / (x * z)) * x) * z. (((x * y) / (x * z)) * x) * z = L((x \ 1) \ y,x,x \ z). x * (((1 / ((y * x) * L(z,z,y * x))) * y) * x) = y \ ((y * x) / z). x * (((1 / ((1 / (y * x)) \ z)) * y) * x) = y \ ((y * x) / z). x * ((((1 / y) * (1 / (z * x))) * z) * x) = z \ ((z * x) / y). x * ((y \ ((y / z) * (1 / x))) * x) = y \ ((y * x) / z). x != (y * z) * (1 / (u * (y * z))) | x = K(z \ y,y \ z) / u. x \ (K(y \ z,z \ y) / u) = K(z \ (x \ y),(x \ y) \ z) / (u * x). K(x \ (y \ z),(y \ z) \ x) / (u * y) = y \ (K(z \ x,x \ z) / u). K(x \ (y * z),(y * z) \ x) / (u * z) = z \ (K(y \ x,x \ y) / u). ((1 / x) * y) * (((y \ x) \ 1) \ (1 / (z * ((u \ 1) \ 1)))) = u \ (K(y \ x,x \ y) / z). ((1 / x) * y) * (((y \ x) \ 1) \ ((1 / 1) \ ((z \ 1) / u))) = z \ (K(y \ x,x \ y) / u). ((1 / x) * y) * (((y \ x) \ 1) \ (1 \ ((z \ 1) / u))) = z \ (K(y \ x,x \ y) / u). ((1 / x) * y) * (((y \ x) \ 1) \ (1 \ (z \ (1 / u)))) = z \ (K(y \ x,x \ y) / u). ((1 / x) * y) * (((y \ x) \ 1) \ (z \ (1 / u))) = z \ (K(y \ x,x \ y) / u). x != ((1 / y) * z) * (((z \ y) \ 1) \ u) | x = K(y \ z,z \ y) * u. x \ (K(y \ z,z \ y) / u) = K(z \ y,y \ z) * (x \ (1 / u)). K(x \ y,y \ x) * (z \ (1 / u)) = z \ (K(y \ x,x \ y) / u). K(x \ y,y \ x) * (z \ u) = z \ (K(y \ x,x \ y) / (u \ 1)). x \ (K(y \ z,z \ y) / (u \ 1)) = K(z \ y,y \ z) * (x \ u). x \ (K(y \ z,z \ y) * u) = K(z \ y,y \ z) * (x \ u). x * (1 / ((K(y \ z,z \ y) * (u \ w)) * x)) = (x * (K(z \ y,y \ z) / (w * x))) * u. x * (1 / (K(y \ z,z \ y) * ((u \ w) * x))) = (x * (K(z \ y,y \ z) / (w * x))) * u. x * ((1 / ((y \ z) * x)) * K(u \ w,w \ u)) = (x * (K(w \ u,u \ w) / (z * x))) * y. x * (K(y \ z,z \ y) / ((u \ w) * x)) = (x * (K(z \ y,y \ z) / (w * x))) * u. (x * (K(y \ z,z \ y) / (u * x))) * w = x * (K(z \ y,y \ z) / ((w \ u) * x)). x \ (1 / (((y \ (z \ ((1 / x) * (1 / (1 * (x \ (1 / x))))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). x \ (1 / (((y \ (z \ ((1 / x) * (1 / (x \ (1 / x)))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). x \ (1 / (((y \ (z \ ((1 / x) * ((1 / x) \ x)))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). x \ (1 / (((y \ (z \ x)) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). x \ (1 / (((y \ (z \ x)) * (x \ 1)) * (x \ 1))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). x \ (1 / ((x * ((y * x) \ (z \ 1))) * (x \ 1))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). x \ (1 / T((y * x) \ (z \ 1),x \ 1)) = ((x \ 1) \ 1) * (((1 / x) * z) * y). (1 / ((x * y) \ (z \ 1))) * (y \ 1) = ((y \ 1) \ 1) * (((1 / y) * z) * x). ((1 / 1) \ (x * (y * z))) * (z \ 1) = ((z \ 1) \ 1) * (((1 / z) * x) * y). (1 \ (x * (y * z))) * (z \ 1) = ((z \ 1) \ 1) * (((1 / z) * x) * y). ((x \ 1) \ 1) * (((1 / x) * y) * z) = (1 \ (y * (z * x))) * (x \ 1). ((x \ 1) \ 1) * (((1 / x) * y) * z) = (y * (z * x)) * (x \ 1). x != ((y \ 1) \ 1) * (((1 / z) * u) * w) | x = 1 / ((w \ (u \ z)) / y). (x * (y * z)) * (z \ 1) = 1 / ((y \ (x \ z)) / z). 1 / ((x \ (y \ z)) / z) = (y * (x * z)) * (z \ 1). x != 1 / ((y \ (z \ u)) / u) | x = u * (((u \ 1) * z) * y). (x * (y * z)) * (z \ 1) = z * (((z \ 1) * x) * y). (x * ((1 / y) \ z)) * (z \ 1) = z * (((z \ 1) * x) * L(y,z,z)). x * (((x \ 1) * y) * L(z,x,x)) = (y * ((1 / z) \ x)) * (x \ 1). x != (y * ((1 / z) \ u)) * (u \ 1) | x = (u \ 1) \ ((u \ y) * z). x * (((x \ 1) * y) * L(z,x,x)) = (x \ 1) \ ((x \ y) * z). x != y * (((y \ 1) * z) * L(u,y,y)) | x = (z * y) * (y \ u). (x \ 1) \ ((x \ y) * z) = (y * x) * (x \ z). x != (y \ 1) \ ((y \ (z / y)) * u) | x = y / (u \ (y * (z \ y))). ((x / y) * y) * (y \ z) = y / (z \ (y * (x \ y))). x / (y \ (x * (z \ x))) = ((z / x) * x) * (x \ y). x / (y \ (x * (z \ x))) = z * (x \ y). (x * (y \ z)) \ y = z \ (y * (x \ y)). x / (y \ ((z \ 1) \ x)) = (z \ x) * (x \ y). (x * y) \ z = (z * y) \ (z * (x \ z)). (x * y) \ (x * (z \ x)) = (z * y) \ x. (x * y) \ (x * z) = ((x / z) * y) \ x. ((x / y) * z) \ x = (x * z) \ (x * y). (x * y) \ (x * (x \ ((x * z) * u))) = (((x / u) / z) * y) \ x. x != ((y / (z \ u)) * (z \ 1)) \ y | x = R(1 / u,z,z \ (y \ 1)) \ 1. (x * (y \ 1)) \ (x * (y \ z)) = R(1 / z,y,y \ (x \ 1)) \ 1. R(1 / x,y,y \ (z \ 1)) \ 1 = (z * (y \ 1)) \ (z * (y \ x)). (x * y) \ (x * z) = (1 / x) * ((y / x) \ z). (1 / x) * ((y / x) \ z) = (x * y) \ (x * z). (((1 / x) * y) \ ((1 / x) * z)) \ 1 = x * (((((1 / x) / z) * y) \ 1) \ 1). ((((x / y) * z) \ x) \ 1) * (((x * z) \ (x * y)) \ u) = (((x * y) \ (x * z)) * ((x * y) \ (x * z))) * u. ((x \ ((1 / y) * z)) \ 1) \ ((1 * z) \ (1 * y)) = ((1 / y) * z) \ (((1 / y) * z) / x). (x * y) \ ((x * z) * u) = (((x / u) / z) * y) \ x. (((x / y) / z) * u) \ x = (x * u) \ ((x * z) * y). (((x / y) / z) * (z * y)) \ x = a(x,z,y). a(x,y,z) = (((x / z) / y) * (y * z)) \ x. (((1 / (x / y)) \ z) * u) \ x = (x * u) \ ((x * (z \ 1)) * y). a(x,y,z) = L(x,z,y) \ x. x != L(y,z,u) \ y | x = y * L(y \ 1,z,u). a(x,y,z) = x * L(x \ 1,z,y). x != a(y,z \ u,w) | x = a(y,(z \ 1) * u,w). L(x,y,z \ u) \ x = a(x,(z \ 1) * u,y). a(x,(y \ 1) * z,u) = L(x,u,y \ z) \ x. x / a(x,y,z) = L(x,z,y). L(x,y,z) = x / a(x,z,y). a(x,y,z) \ 1 = x \ L(x,z,y). a(x,T(y,x),z) = L(x,z,y) \ x. L(x,y,z) \ (x * u) = a(x,z,y) * u. x * a(y,z,K(u,x)) = L(x,K(u,y),z). L(x,y,z) \ x != u | u = a(x,z,y). L(x,y,z) \ x != u | a(x,z,y) = u. x != y * L(y \ 1,z,u) | x = (y \ 1) \ L(y \ 1,z,u). a(x,y,z) = (x \ 1) \ L(x \ 1,z,y). (a(x,y,z) \ 1) * x = L(x,z,y). L(x,y,z) = (a(x,z,y) \ 1) * x. x * (y \ L(y,z,u)) = x / a(y,u,z). x != L(y,z,u) \ y | x = a(y,u,z). a(x,T(y,x),z) = a(x,y,z). T(x,a(y,z,u)) = L(x,K(y,u),z). L(x,K(y,z),u) = T(x,a(y,u,z)). x * (y \ L(y,z,u)) = x / (L(y,z,u) \ y). x / (L(y,z,u) \ y) = x * (y \ L(y,z,u)). x * a(y,z,u) = x / a(y \ 1,z,u). x / a(y \ 1,z,u) = x * a(y,z,u). x / a(y,z,u) = x * a(y \ 1,z,u). x * a(y \ 1,z,u) = x / a(y,z,u). x != y / a(y,z,u) | x = L(y,u,z). x * a(x \ 1,y,z) = L(x,z,y). L(x,y,z) = x * a(x \ 1,z,y). x * y != z / z | x \ 1 = y. a(x,y,z) \ 1 = a(x \ 1,y,z). a(x \ 1,y,z) = a(x,y,z) \ 1. x \ (x / a(y,z,u)) != w | w = a(y \ 1,z,u). x \ (x / a(y,z,u)) != w | a(y \ 1,z,u) = w. x != a(y,z,u) \ 1 | x = (y * (z * u)) \ ((u / (y * (z * u))) \ L(u,z,y)). a(x \ 1,y,z) = (x * (y * z)) \ ((z / (x * (y * z))) \ L(z,y,x)). (x * (y * z)) \ ((z / (x * (y * z))) \ L(z,y,x)) = a(x \ 1,y,z). a(x \ 1,y,z) \ u = a(x,y,z) * u. L(x,y,z) = a(x \ 1,z,y) * x. a(x,(y \ 1) * z,u) != w | a(x,y \ z,u) = w. x * L(y,z,u) = (x * y) * (y \ L(y,z,u)). (x * y) * (y \ L(y,z,u)) = x * L(y,z,u). (x \ L(x,y,z)) * u = (L(x,y,z) \ x) \ u. (L(x,y,z) \ x) \ u = (x \ L(x,y,z)) * u. x != ((y \ 1) \ z) * L(1 / T(y,z),u,w) | x = L(y \ 1,u,w) * ((y \ 1) \ z). (((x \ 1) \ y) * (1 / T(x,y))) * ((1 / T(x,y)) \ L(1 / T(x,y),z,u)) = L(x \ 1,z,u) * ((x \ 1) \ y). x != (L(y,z,u) \ y) \ w | x = L(y,z,u) * (y \ w). (x \ L(x,y,z)) * u = L(x,y,z) * (x \ u). (x * L(x \ 1,y,z)) * u = L(x \ 1,y,z) * ((x \ 1) \ u). L(x \ 1,y,z) * ((x \ 1) \ u) = (x * L(x \ 1,y,z)) * u. a(x,y,z) \ 1 != u | a(x \ 1,y,z) = u. ((x / y) * (z * z)) \ x = (x * z) \ ((x * (z \ 1)) * y). (x * y) \ ((x * (y \ 1)) * z) = ((x / z) * (y * y)) \ x. x != ((y / z) * (u * u)) \ y | x = ((u * u) \ (z / y)) * y. (x * y) \ ((x * (y \ 1)) * z) = ((y * y) \ (z / x)) * x. 1 / ((x \ (y / z)) * (z * y)) = ((y * y) \ (x / z)) * z. L(x \ 1,y,z) * ((x \ 1) \ u) = (L(x,y,z) \ x) * u. x * y != L(z \ 1,u,w) * ((z \ 1) \ x) | T(L(z,u,w) \ z,x) = y. L(x \ 1,y,z) * ((x \ 1) \ u) != u * w | T(L(x,y,z) \ x,u) = w. ((x \ y) / (z \ y)) \ 1 = y * (((((1 / y) / z) * x) \ 1) \ 1). x * (((((1 / x) / y) * z) \ 1) \ 1) = ((z \ x) / (y \ x)) \ 1. x * (((((1 / x) / y) * z) \ 1) \ 1) = (y \ x) * ((z \ x) \ 1). x * ((((1 / (y * x)) * z) \ 1) \ 1) = (y \ x) * ((z \ x) \ 1). x * ((y \ (z * x)) \ 1) = (z \ x) * ((y \ x) \ 1). (x \ y) * ((z \ y) \ 1) = y * ((z \ (x * y)) \ 1). (x \ y) * (y \ L(y,z,u)) = y * ((L(y,z,u) \ (x * y)) \ 1). x * ((L(x,y,z) \ (u * x)) \ 1) = (u \ x) * (x \ L(x,y,z)). ((x * y) / y) \ L(y,z,u) = (x \ y) * (y \ L(y,z,u)). x \ L(y,z,u) = (x \ y) * (y \ L(y,z,u)). (x \ y) * (y \ L(y,z,u)) = x \ L(y,z,u). x * (y \ L(y,z,u)) = (y / x) \ L(y,z,u). (x / y) \ L(x,z,u) = y * (x \ L(x,z,u)). x != y * (z \ L(z,u,w)) | x = y / a(z,w,u). (x / y) \ L(x,z,u) = y / a(x,u,z). (x * (y * z)) \ ((x * (y * z)) / a(z,x,y)) = a(x \ 1,y,z). a(x \ 1,y,z) != u | a(z \ 1,x,y) = u. a(x \ 1,y,z) = a(y,z,x) \ 1. L(x,y,z) = x * (a(z,y,x) \ 1). x * y != z * (a(u,w,z) \ 1) | x \ L(z,w,u) = y. x \ L(x,y,z) = a(z,y,x) \ 1. a(x,y,z) \ 1 = z \ L(z,y,x). ((x \ y) * ((z \ 1) \ 1)) \ ((1 * x) \ (1 * y)) = ((1 / y) * x) \ (((1 / y) * x) / z). ((x \ y) * ((z \ 1) \ 1)) \ (x \ (1 * y)) = ((1 / y) * x) \ (((1 / y) * x) / z). ((x \ y) * ((z \ 1) \ 1)) \ (x \ y) = ((1 / y) * x) \ (((1 / y) * x) / z). (x \ y) * (((z \ 1) \ (x \ y)) \ 1) = ((1 / y) * x) \ (((1 / y) * x) / z). ((1 / x) * y) \ (((1 / x) * y) / z) = (y \ x) * (((z \ 1) \ (y \ x)) \ 1). ((1 / x) * y) \ (((1 / x) * y) / z) = (y \ x) * (((y \ x) \ 1) * (1 / z)). x != y * ((y \ 1) * z) | x = L(z,y,y). ((1 / x) * y) \ (((1 / x) * y) / z) = L(1 / z,y \ x,y \ x). (((x / y) \ z) \ y) * (((y * x) \ (y * z)) \ u) = (((y * z) \ (y * x)) * ((y * z) \ (y * x))) * u. (((x * y) \ (x * z)) * ((x * y) \ (x * z))) * u = (((z / x) \ y) \ x) * (((x * z) \ (x * y)) \ u). L(x,y,z) \ 1 = ((y / z) \ (y * x)) \ z. ((x / y) \ (x * z)) \ y = L(z,x,y) \ 1. x != ((y / z) \ (y * (1 / u))) \ z | x = L(R(u,y \ 1,y / z),y,y). L(1 / x,y,z) \ 1 = L(R(x,y \ 1,y / z),y,y). L(R(x,y \ 1,y / z),y,y) = L(1 / x,y,z) \ 1. L(R(x,y \ 1,y / z),y,y) != u | L(x,y,z) = u. x * ((1 / T(y,x)) \ L(1 / T(y,x),z,u)) = L(y \ 1,z,u) * ((y \ 1) \ x). x * (T(y,x) / L(T(y,x),z,u)) = L(y \ 1,z,u) * ((y \ 1) \ x). L(x \ 1,y,z) * ((x \ 1) \ u) = u * (T(x,u) / L(T(x,u),y,z)). L(x \ 1,y,z) * ((x \ 1) \ u) = u * (L(T(x,u),y,z) \ T(x,u)). T(L(x,y,z) \ x,u) = L(T(x,u),y,z) \ T(x,u). L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). a(T(x,y),z,u) = T(L(x,u,z) \ x,y). T(L(x,y,z) \ x,u) = a(T(x,u),z,y). T(a(x,y,z),u) = a(T(x,u),y,z). a(T(x,y),z,u) = T(a(x,z,u),y). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). x != K(y,z \ T(u,w \ (v5 \ w))) | x = K(y,z \ T(u,T(v5,w))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). x != K(y,(z * K(u \ 1,w)) \ v5) | x = K(y,(z * K(w,u)) \ v5). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). x != K(y,T(z,u) \ T(w,T(u,z))) | x = K(y,T(w / z,u \ z)). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,u * z)) = K(x,T(y / z,u \ z)). K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). K(x,T(y,z \ u)) = K(x,T((y * u) / u,z * u)). K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). K(x,T(y / z,u)) = K(x,T(y / z,(z / u) * z)). K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). K(x,T(y,z * u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z * u)). K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). K(x,K(y,T(z,u))) = K(z,K(x,y)). K(x,K(y,T(z,u))) = K(x,K(y,z)). x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). K(x,T(y,z)) * u = (K(x,y) * u) * K(x,K(y,z)). (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. T(x,K(y,K(z,u))) = x. K(x,K(y,z)) \ u = u * K(x,K(y,z)). K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). T(x,K(y,z) * u) = T(x,u * K(y,z)). K(x,T(y,K(z,u))) = K(x,y). x != T(y * (z \ 1),K(u,K(w,v5))) | x = (K(u,u \ K(w,v5)) * y) * (z \ K(u,u \ K(w,v5))). x * (y \ 1) = (K(z,z \ K(u,w)) * x) * (y \ K(z,z \ K(u,w))). (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = u * (w \ 1). x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). K(x,K(y,z) * u) = K(x,u * K(y,z)). K(x,T(y,T(z,u))) = K(x,T(y,z)). K(x,T(y,z * u)) = K(x,T(y,u * z)). T(K(x,y),T(z,u)) = K(x,T(y,z)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). ((1 / K(x,K(y,z))) * u) * w = u * (w * K(x,K(y,z))). x != (y \ 1) * K(z,u) | x = y \ K(z,u). K(x,K(y,z)) \ (u \ 1) = u \ K(x,K(y,z)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). K(1 / x,K(y,z)) * (u * ((w \ x) * (1 / x))) = ((w / u) \ x) * T(1 / x,K(y,z)). x * (K(y,K(z,u)) * (w \ K(y,K(z,u)))) = x * (w \ 1). x \ (y * x) = T(y,K(K(z,u),w) * x). T(x,K(K(y,z),u) * w) = w \ (x * w). T(x,K(K(y,z),u) * w) = T(x,w). x != T(y,K(K(z,u),w) * v5) | x = T(y,K(w,w \ K(u,z)) * v5). T(x,y) = T(x,K(z,z \ K(u,w)) * y). T(x,K(y,y \ K(z,u)) * w) = T(x,w). T(x,y) = T(x,y * K(z,K(u,w))). T(x,y * K(z,K(u,w))) = T(x,y). K(x * K(y,K(z,u)),w) = w / T(w,x). K(x * K(y,K(z,u)),w) = K(x,w). K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. K(x \ T(y,K(z,u)),w) = K(x \ y,w). T(x * K(y,K(z,u)),w) = K(x,w) * (x * K(y,K(z,u))). K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). x != K(y \ T(z * T(y * K(u,w),K(v5,v6)),K(v5,v6)),w) | x = K(z,T(w,K(v5,v6) * y)). K(x \ (y * T(x * K(z,u),K(w,v5))),u) = K(y,T(u,K(w,v5) * x)). ((1 * K(x,K(y,z))) * u) * w = u * (w * K(x,K(y,z))). T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). x * (y * K(z,K(u,w))) = (x * y) * K(z,K(u,w)). (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). L(K(x,K(y,z)),u,w) = K(x,K(y,z)). (x * (y * K(z,K(u,w)))) * v5 != (x * y) * K(z,K(u,w)) | 1 = v5. 1 = a(x,y,K(z,K(u,w))). a(x,y,K(z,K(u,w))) = 1. x != a(y,z,K(u,w)) | x = K(y,a(w,z,u)). 1 = K(x,a(K(y,z),u,w)). K(x,a(K(y,z),u,w)) = 1. T(x,a(K(y,z),u,w)) = x. T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). T(x,K(y,a(z,u,w))) = x. T(x,T(a(y,z,u),w)) = T(x,a(y,z,u)). T(x,K(a(y,z,u),w)) != v5 | v5 = x. T(x,a(y,z,K(u,w))) != v5 | v5 = x. T(x,T(a(y,z,u) \ 1,w)) = T(x,a(u,z,y)). K(x,K(y,z)) * (u * w) = (K(x,K(y,z)) * u) * w. (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). x != T(a(y,z,K(u,w)),v5) | x = a(y,z,K(u,T(w,v5))). a(x,y,K(z,u)) = a(x,y,K(z,T(u,w))). a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). x != T(y,T(a(z,u,w),v5)) | x = T(y,y * T(a(z,u,w),v5)). T(x,a(y,z,u)) = T(x,x * T(a(y,z,u),w)). T(x,x * T(a(y,z,u),w)) = T(x,a(y,z,u)). x != a(y,z,K(u,w)) | x = a(u,z,K(w,y)). a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). a(x,y,K(z,u \ w)) = a(x,y,K(z,w / u)). a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). a(x,y,K(z \ u,w)) = a(x,y,K(u / z,w)). a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). T(T(x,a(y,z,u)),x * (1 * T(a(u,z,y),w))) = x. T(x,T(a(y,z,u) * x,w)) = T(x,a(y,z,u)). x != T(y,a(z,u,w)) | x = L(y,K(z,w),u). T(x,T(a(y,z,u) * x,w)) = L(x,K(y,u),z). K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). L(x,y,K(z,K(u,w))) = x. L(x,K(y,K(z,u)) * w,v5) = (v5 * (K(y,K(z,u)) * w)) \ (v5 * (K(y,K(z,u)) * (w * x))). (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). T(T(x,a(y,z,u)),x * T(a(u,z,y),w)) = x. T(L(x,K(y,z),u),x * T(a(z,u,y),w)) = x. x = L(T(x,x * T(a(y,z,u),w)),K(u,y),z). L(T(x,x * T(a(y,z,u),w)),K(u,y),z) = x. L(T(x,T(a(y,z,u) * x,w)),K(u,y),z) = x. L(L(x,K(y,z),u),K(z,y),u) = x. K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) * (u * (1 / w)) = u * (K(x,K(y,z)) / w). K(x,K(y,z)) * (u * (w * (1 / v5))) = u * (w * (K(x,K(y,z)) / v5)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) != v6 | L(L(v5,w,u),u * w,K(x,K(y,z))) = v6. x != K(y,K(z,L(u,w,v5)) * (v5 * w)) | x = K(y,v5 * (w * K(z,u))). K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). x != K(y,z * (u * K(u \ 1,w))) | x = K(y,z * (((w * (u \ 1)) / w) \ 1)). K(x,y * (z * K(z,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). K(x,y * z) = K(x,z * T(y,y * (x * z))). K(x,y * T(z,z * (x * y))) = K(x,z * y). K(x,y * T(z,x * y)) = K(x,z * y). T(x,y * T(z,x * y)) = K(x,z * y) * x. T(x,y * T(z,x * y)) = T(x,z * y). x != T(y,K(z,u) * w) | x = w \ T(y * T(w,K(z,u)),K(u,z)). T(x,y * K(z,u)) = T(y,x * K(z,u)) \ T(x * T(T(y,x * K(z,u)),K(z,u)),K(u,z)). T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). x != (y * z) * (u \ y) | x = y * ((u / z) \ y). x * (y \ 1) = K(z,z \ K(u,w)) * ((y / x) \ K(z,z \ K(u,w))). K(x,x \ K(y,z)) * ((u / w) \ K(x,x \ K(y,z))) = w * (u \ 1). x != K(y \ (z * T(y * K(u,w),v5)),w) | x = K(z * K(y * K(u,w),v5),T(w,y)). K(x,T(y,K(z,u) * w)) = K(x * K(w * K(v5,y),K(z,u)),T(y,w)). K(x * K(y * K(z,u),K(w,v5)),T(u,y)) = K(x,T(u,K(w,v5) * y)). K(x,T(y,z)) = K(x,T(y,K(u,w) * z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). (x * K(y,z)) * K(u,w) = K(u,T(w,x)) * (x * K(y,z)). K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). K(x,y) * z != K(x,T(y,u)) * (u * K(w,v5)) | T(u * K(w,v5),K(x,y)) = z. T(x * K(y,z),K(u,w)) = K(u,K(w,x)) * (x * K(y,z)). K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(u,w)). T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). K(x,y) * T(K(x,y) * z,K(u,w)) = y * (T(T(y,x),x) \ T(z,K(u,w))). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) / T(K(x,y),z). T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). x != K(y,z) * T(u,K(w,v5)) | x = T(K(y,z) * u,K(w,v5)). x * (T(T(x,y),y) \ T(z,K(u,w))) = T(K(y,x) * (K(y,x) * z),K(u,w)). T(K(x,y) * (K(x,y) * z),K(u,w)) = y * (T(T(y,x),x) \ T(z,K(u,w))). T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(x * (T(T(x,y),y) \ z),K(u,w)) = x * (T(T(x,y),y) \ T(z,K(u,w))). T(K(x,y) * z,u) * K(y,T(x,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). x != y * (T(T(y,z),z) \ T(u,K(y,z))) | x = K(z,z \ y) * (u * K(z,z \ y)). T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,y \ x) * (z * K(y,y \ x)). x != T(K(y,T(z,u)) * w,v5) * K(z,y) | x = K(y,z) \ T((K(y,K(z,u)) * w) * K(y,z),v5). T(K(x,y) * z,u) * K(y,T(x,w)) = K(x,y) \ T((K(x,K(y,w)) * z) * K(x,y),u). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). x != T(y * (T(T(y,z),z) \ u),K(y,z)) | x = K(z,y) * (u * K(z,y)). K(x,x \ y) * (z * K(x,x \ y)) = K(x,y) * (z * K(x,y)). x != y * ((z \ 1) * y) | x = (y \ 1) \ (z \ y). K(x,x \ y) * ((z \ 1) * K(x,x \ y)) = (K(x,y) \ 1) \ (z \ K(x,y)). K(x,x \ y) * (z \ K(x,x \ y)) = (K(x,y) \ 1) \ (z \ K(x,y)). x != (K(y,z) \ 1) \ u | x = K(y,z) * u. K(x,x \ y) * (z \ K(x,x \ y)) = K(x,y) * (z \ K(x,y)). K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = ((w / u) \ x) * T(1 / x,K(y,z)). x != (y \ z) * T(1 / z,u) | x = y \ K(z \ u,z). K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = (w / u) \ K(x \ K(y,z),x). K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = (w / u) \ K(x,x \ K(y,z)). x != K(y,K(z,u)) * (w * (v5 * (1 / v6))) | x = w * (v5 * (K(y,K(z,u)) / v6)). (x / y) \ K(z,z \ K(u,w)) = y * ((x \ z) * (K(z,K(u,w)) / z)). x * ((y \ z) * (K(z,K(u,w)) / z)) = (y / x) \ K(z,z \ K(u,w)). x * (y \ K(z,z \ K(u,w))) = (y / x) \ K(z,z \ K(u,w)). (x / y) \ K(z,z \ K(u,w)) = y * (x \ K(z,z \ K(u,w))). (x * y) * K(z,z \ K(u,w)) = x * ((1 / y) \ K(z,z \ K(u,w))). x * ((1 / y) \ K(z,z \ K(u,w))) = (x * y) * K(z,z \ K(u,w)). x != T(y,z \ u) * (u \ z) | x = ((1 / z) * u) \ y. (x / T(y,K(z,z \ K(u,w)) \ x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. T(x / y,x) \ K(z,z \ K(u,w)) = T(y,x) * (x \ K(z,z \ K(u,w))). ((((K(x,x \ K(y,z)) \ 1) \ 1) \ (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). ((((K(x,x \ K(y,z)) \ 1) \ 1) \ u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). K(x,x \ K(y,z)) * (u * (w \ K(x,x \ K(y,z)))) = u * (w \ 1). K(x,x \ K(y,z)) * (u * w) = (K(x,x \ K(y,z)) * u) * w. (K(x,x \ K(y,z)) * u) * w = K(x,x \ K(y,z)) * (u * w). x * (y * K(z,z \ K(u,w))) = (x * y) * K(z,z \ K(u,w)). (x * y) * K(z,z \ K(u,w)) = x * (y * K(z,z \ K(u,w))). x * (K(y,y \ K(z,u)) * w) = (x * K(y,y \ K(z,u))) * w. (x * K(y,y \ K(z,u))) * w = x * (K(y,y \ K(z,u)) * w). T(x,y) * (y \ K(z,z \ K(u,w))) != v5 | (y \ x) * K(z,z \ K(u,w)) = v5. x != ((K(y,z) * u) * w) * a(y,u,K(z,w)) | x = K(y,z) * (u * w). (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). L(x,y,K(z,u)) = R(x,y,K(z,u)). R(x,y,K(z,u)) = L(x,y,K(z,u)). x != R(y,z,K(u,w \ (u \ 1))) | x = (T(u,w) * (1 / ((y * z) * u))) \ (T(u,w) * (1 / (z * u))). L(x,y,K(z,u \ (z \ 1))) = (T(z,u) * (1 / ((x * y) * z))) \ (T(z,u) * (1 / (y * z))). (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = L(z,u,K(x,y \ (x \ 1))). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). K(x,y) * T(z * K(y,T(x,u)),w) = T(K(y,x) * z,w) * K(x,T(y,u)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). x != T(K(y,z) * u,w) * K(z,T(y,v5)) | x = K(z,T(y,v5)) * T(u * K(y,z),w). K(x,y) * T(z * K(y,T(x,u)),w) = K(x,T(y,u)) * T(z * K(y,x),w). K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). ((x \ 1) * (1 / ((y * z) * (T(x,u) \ 1)))) \ (T(T(x,u) \ 1,u \ 1) * (1 / (z * (T(x,u) \ 1)))) = L(y,z,K(T(x,u) \ 1,(u \ 1) \ ((T(x,u) \ 1) \ 1))). (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). x != (K(y,z) \ (u * w)) \ (K(y,z) \ (u * (w * v5))) | x = L(L(v5,w,u),u * w,K(z,y)). L(x,K(y,K(z,u)) * w,v5) = L(L(x,w,v5),v5 * w,K(K(z,u),y)). L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). x != L(y,z,K(u,K(w,v5))) | x = y. L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). x != y | x = L(y,z,K(u,K(w,v5))). L(x,K(y,K(z,u)) * w,v5) = L(L(x,w,v5),v6,K(v7,K(v8,v9))). L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,K(v7,K(v8,v9)) * y,z). L(x,y * K(z,u),w) = L(x,K(z,u) * y,w). L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). L(x,K(y,K(z,u)) * w,v5) != v6 | v6 = L(x,w,v5). L(x,K(y,K(z,u)) * w,v5) != v6 | L(x,w,v5) = v6. L(x,K(y,T(z,u)),w) != v5 | L(x,K(y,z),w) = v5. L(x,K(y,z / u),w) != v5 | L(x,K(y,u \ z),w) = v5. T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). x != T(y,z) \ (T(y,u) * w) | x = K(y,u) * (K(z,y) * w). T(x,y * K(z,u)) = K(y,K(z,u)) * (K(x * K(z,u),y) * T(x,K(z,u))). K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). x != K(y,T(z,u)) * T(w * K(z,y),v5) | x = K(y,z) * T(w * K(z,T(y,u)),v5). T(x,y * K(z,u)) = K(u,z) * T(x * K(z,T(u,y)),y). K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). K(x,y) * T(z,u * K(x,y)) = T(z * K(x,T(y,u)),u). T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). R(x,K(y,z),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). x != (y * (z * K(u,w))) / T(y * K(u,T(w,z)),z) | x = L(z,K(u,T(w,z)),y). R(x,K(y,z),u) = L(x,K(y,T(z,x)),u). L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). L(x,K(y,z),u) = R(x,K(y,z),u). R(x,K(y,z),u) = L(x,K(y,z),u). x != R(y,K(z,u),1 / w) | x = ((y * K(z,u)) * (1 / w)) / (K(z,u) / w). L(x,K(y,z),1 / u) = ((x * K(y,z)) * (1 / u)) / (K(y,z) / u). ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = L(x,K(y,z),1 / u). x != L(y,z,1 / u) | x = L(y,z,u \ 1). ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = L(x,K(y,z),u \ 1). x != (y * (1 / z)) / (u / z) | x = (y / (z * u)) * z. L(x,K(y,z),u \ 1) = ((x * K(y,z)) / (u * K(y,z))) * u. ((x * K(y,z)) / (u * K(y,z))) * u = L(x,K(y,z),u \ 1). ((K(x,y) / z) \ (K(x,y) / u)) * u = L(z,K(y,x),u \ 1). ((x / (K(y,z) * u)) * K(y,z)) * u = L(x,K(z,y),u \ 1). (K(x,y) * ((K(y,x) * z) / u)) * u = L(z,K(x,y),u \ 1). L(x,K(y,z),u * K(z,y)) = L(x,K(z,y),u \ 1). x != (K(y,z) * ((K(u,w) * v5) / v6)) * v6 | x = (K(y,z) / v6) * (v6 / (v5 \ K(w,u))). L(x,K(y,z),u \ 1) = (K(y,z) / u) * (u / (x \ K(y,z))). (K(x,y) / z) * (z / (u \ K(x,y))) = L(u,K(x,y),z \ 1). x != L(y,z,(u \ 1) \ 1) | x = L(y,z,u). L(x,K(y,z),(u \ 1) * K(z,y)) = L(x,K(z,y),u). x != L(y,z,(u \ 1) * w) | x = L(y,z,u \ w). L(x,K(y,z),u) = L(x,K(z,y),u \ K(y,z)). L(x,K(y,z),u \ K(z,y)) = L(x,K(z,y),u). L(x,K(y,z),y \ (u \ K(z,y))) = L(x,K(z,y),u * y). x * y != L(z,K(u \ w,w \ u),v5) | x \ z = y. (K(x \ y,y \ x) / z) \ u = z / (u \ K(x \ y,y \ x)). x / (y \ K(z \ u,u \ z)) = (K(z \ u,u \ z) / x) \ y. x != y / ((z * u) \ K(w \ v5,v5 \ w)) | x = (1 / y) \ (z * (u * K(w \ v5,v5 \ w))). (K(x \ y,y \ x) / z) \ (u * w) = (1 / z) \ (u * (w * K(x \ y,y \ x))). (1 / x) \ (y * (z * K(u \ w,w \ u))) = (K(u \ w,w \ u) / x) \ (y * z). x != (1 / T(y,z \ (u \ 1))) \ (u * (z * K(w \ v5,v5 \ w))) | x = (u * (z * K(w \ v5,v5 \ w))) * y. (K(x \ y,y \ x) / T(z,u \ (w \ 1))) \ (w * u) = (w * (u * K(x \ y,y \ x))) * z. x != (K(y \ z,z \ y) / T(u,w \ (v5 \ 1))) \ (v5 * w) | x = ((v5 * w) * u) * K(y \ z,z \ y). (x * (y * K(z \ u,u \ z))) * w = ((x * y) * w) * K(z \ u,u \ z). ((x * y) * z) * K(u \ w,w \ u) = (x * (y * K(u \ w,w \ u))) * z. (x * (y * K(z \ u,u \ z))) * w = (x * y) * (w * K(z \ u,u \ z)). x * (1 / ((y * z) * (x * K(u \ w,w \ u)))) = K(x \ (u * w),(u * w) \ x) / (y * z). x * ((K(y \ z,z \ y) / x) / (u * w)) = K(x \ (z * y),(z * y) \ x) / (u * w). K(x \ (y * z),(y * z) \ x) / (u * w) = x * ((K(z \ y,y \ z) / x) / (u * w)). K(x \ (y * z),(y * z) \ x) / (u * w) = x * (K(z \ y,y \ z) / ((u * w) * x)). x != K(y \ (z * u),(z * u) \ y) / (w * u) | x = u \ (K(z \ y,y \ z) / w). x * (K(y \ z,z \ y) / ((u * y) * x)) = y \ (K(z \ x,x \ z) / u). (x * (K(y \ z,z \ y) / ((u * w) * x))) * u = K((x / z) \ y,y \ (x / z)) / w. x != (y * (K(z \ u,u \ z) / (w * y))) * v5 | x = y * (K(u \ z,z \ u) / ((v5 \ w) * y)). K((x / y) \ z,z \ (x / y)) / u = x * (K(y \ z,z \ y) / ((w \ (w * u)) * x)). x * (K(y \ z,z \ y) / ((u \ (u * w)) * x)) = K((x / y) \ z,z \ (x / y)) / w. x * (K(y \ z,z \ y) / (u * x)) = K((x / y) \ z,z \ (x / y)) / u. K((x / y) \ z,z \ (x / y)) / u = x * (K(y \ z,z \ y) / (u * x)). K(x \ (y * z),(y * z) \ x) / u = x * (K(y \ z,z \ y) / (u * x)). x != K(y \ (z * (u / y)),(z * (u / y)) \ y) / w | x = (y \ ((u / y) \ z)) * ((y \ ((y / z) * u)) / w). x * (K(y \ (z / x),(z / x) \ y) / (u * x)) = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (K(z \ (y / x),(y / x) \ z) / (u * x)). (x / T(y,K(z \ K(u,w),z) * x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (K(z \ (x * y),(x * y) \ z) / (u * x)). (x / T(y,K(z,z \ K(u,w)) * x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (z * (K(x \ y,y \ x) / ((u * x) * z))). x != (y / z) \ K(u,u \ K(w,v5)) | x = z * (y \ K(u,u \ K(w,v5))). ((1 / K(x,x \ K(y,z))) * u) \ w = T(w,K(x,x \ K(y,z)) * u) * (u \ K(x,x \ K(y,z))). T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 / K(y,y \ K(z,u))) * w) \ x. (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (x \ (K(y \ z,z \ y) / u)). (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = K(y \ z,z \ y) / u. x != (y \ ((z / y) \ u)) * ((y \ ((y / u) * z)) / w) | x = K(y \ ((y / u) * z),y \ ((z / y) \ u)) / w. K(x \ y,y \ x) / z = K(u \ ((u / y) * x),u \ ((x / u) \ y)) / z. K(x \ ((x / y) * z),x \ ((z / x) \ y)) / u = K(z \ y,y \ z) / u. x != K(y \ ((y / z) * u),y \ ((u / y) \ z)) / (y \ ((y / z) * u)) | x = T((y \ ((y / z) * u)) \ 1,1). K(x \ y,y \ x) / (z \ ((z / y) * x)) = T((z \ ((z / y) * x)) \ 1,1). x != K(y \ z,z \ y) / (u \ w) | x = (K(y \ z,z \ y) / w) * u. T((x \ ((x / y) * z)) \ 1,1) = (K(z \ y,y \ z) / ((x / y) * z)) * x. (K(x \ y,y \ x) / ((z / y) * x)) * z = T((z \ ((z / y) * x)) \ 1,1). (x \ (y * (1 / ((z / y) * y)))) * z = T((z \ ((z / y) * x)) \ 1,1). (x \ (y * (1 / z))) * z = T((z \ ((z / y) * x)) \ 1,1). T((x \ ((x / y) * z)) \ 1,1) = (z \ (y * (1 / x))) * x. T(x \ ((y / x) \ z),1) = (y \ (z * (1 / x))) * x. (x \ (y * (1 / z))) * z = z \ ((x / z) \ y). (x \ ((y / x) \ z)) \ 1 = x \ ((y \ (z * (1 / x))) \ 1). x \ ((y \ (z * (1 / x))) \ 1) = (x \ ((y / x) \ z)) \ 1. (x / ((1 / y) \ z)) * y = y \ (((1 / x) / y) \ (1 / z)). x \ (((1 / y) / x) \ (1 / z)) = (y / ((1 / x) \ z)) * x. x * (x \ ((y / x) \ (y / z))) = y \ ((y * x) / z). x \ ((x * y) / z) = (x / y) \ (x / z). (x / y) \ (x / z) = x \ ((x * y) / z). x != (y / (z * u)) \ (y / u) | x = R(z,u,y \ 1). x \ ((x * (y * z)) / z) = R(y,z,x \ 1). L(R(x,1 / y,z),1 / y,1 / y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). ((x / y) / z) \ (x / u) = x \ ((x * (x \ ((x * z) * y))) / u). x \ ((x * (x \ ((x * y) * z))) / u) = ((x / z) / y) \ (x / u). x \ (y / (z \ (x \ y))) = R(z,y,x \ 1). x != y \ (z / (u \ (y \ z))) | x = (z * ((z \ u) / y)) * y. R(x,y,z \ 1) = (y * ((y \ x) / z)) * z. (x * ((x \ y) / z)) * z = R(y,x,z \ 1). x \ ((x * (1 / (y / z))) / (z * (1 / (y * z)))) = R(z,u * (1 / (y * u)),x \ 1). R(x,y * (1 / (z * y)),u \ 1) = u \ ((u * (1 / (z / x))) / (x * (1 / (z * x)))). (x \ 1) \ ((x \ y) * (y \ z)) = R(z,y,(x \ 1) \ 1). x != (y \ 1) \ ((y \ z) * u) | x = (z * y) * (y \ u). R(x,y,(z \ 1) \ 1) = (y * z) * (z \ (y \ x)). (x * y) * (y \ (x \ z)) = R(z,x,(y \ 1) \ 1). x != (y * z) * (z \ (y \ u)) | x = R(1 / u,y,z) \ 1. R(x,y,(z \ 1) \ 1) = R(1 / x,y,z) \ 1. R(x,y,z) = R(1 / x,y,z) \ 1. R(1 / x,y,z) \ 1 = R(x,y,z). R(1 / x,y,z) \ 1 != u | R(x,y,z) = u. x != R(1 / y,z,z \ (u \ 1)) \ 1 | x = (u * (z \ 1)) \ (u * (z \ y)). R(x,y,y \ (z \ 1)) = (z * (y \ 1)) \ (z * (y \ x)). (x * (y \ 1)) \ (x * (y \ z)) = R(z,y,y \ (x \ 1)). L(a(x,y,z),u \ 1,w) = R(a(x,y,z),u,u \ (w \ 1)). R(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),u \ 1,w). ((x \ ((y / x) \ z)) \ 1) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (z \ (y * (y / x))) * x. x \ ((1 / (x * y)) \ (1 / z)) = (y / ((1 / x) \ z)) * x. x \ ((x * y) / z) = (y / ((1 / x) \ z)) * x. (x / ((1 / y) \ z)) * y = y \ ((y * x) / z). L(x,y,y) * ((y \ ((y * z) / x)) * L(x,y,y)) = y \ ((y * L(x,y,y)) * z). x \ (((x * y) * z) / u) = ((x / z) / y) \ (x / u). ((x / y) / z) \ (x / u) = x \ (((x * z) * y) / u). x != ((y / z) / u) \ (y / (u * z)) | x = a(u,z,y \ 1) \ 1. x \ (((x * y) * z) / (y * z)) = a(y,z,x \ 1) \ 1. x \ R(x,y,z) = a(y,z,x \ 1) \ 1. a(x,y,z \ 1) \ 1 = z \ R(z,x,y). a(x \ 1,y,z \ 1) = z \ R(z,x,y). a(x \ 1,y,(1 / z) \ 1) \ z = R(1 / z,x,y) \ 1. a(x \ 1,y,z) \ z = R(1 / z,x,y) \ 1. R(1 / x,y,z) \ 1 = a(y \ 1,z,x) \ x. x != a(y \ 1,z,u) \ w | x = a(y,z,u) * w. R(1 / x,y,z) \ 1 = a(y,z,x) * x. x != a(y,z,u) * u | x = u * a(y,z,u). R(1 / x,y,z) \ 1 = x * a(y,z,x). R(x,y,z) = x * a(y,z,x). x != L(y,z,z) * (u * L(y,z,z)) | x = y * (u * y). x \ ((x * L(y,x,x)) * z) = y * ((x \ ((x * z) / y)) * y). x != y * ((z \ (u / y)) * y) | x = (z / y) \ L(u,y,y). x \ ((x * L(y,x,x)) * z) = (x / y) \ L(x * z,y,y). (x / y) \ L(x * z,y,y) = x \ ((x * L(y,x,x)) * z). (x / y) \ L(x * z,y,y) = x \ (((1 / x) \ y) * z). x != y \ (((1 / y) \ z) * u) | x = (z * (u / y)) * y. (x / y) \ L(x * z,y,y) = (y * (z / x)) * x. L(x,y \ 1,L(z,y,y)) = (y * ((y \ x) / z)) * z. x != (y * ((y \ z) / u)) * u | x = R(z,y,u \ 1). L(x,y \ 1,L(z,y,y)) = R(x,y,z \ 1). x != L(y,z,L(u,w,w)) | x = L(y,z,u). R(x,y,z \ 1) = L(x,y \ 1,z). L(R(x,y,z \ 1),z / y,K(z,u)) = L(x,y \ 1,L(T(z,u),y,y)). R(x,y,z) = L(x,y \ 1,z \ 1). x != L(y,z \ 1,L(u,z,z)) | x = R(y,z,u \ 1). L(R(x,y,z \ 1),z / y,K(z,u)) = R(x,y,T(z,u) \ 1). L(L(x,y \ 1,z),z / y,K(z,u)) = R(x,y,T(z,u) \ 1). x != R(y,z,u \ 1) | x = L(y,z \ 1,u). L(L(x,y \ 1,z),z / y,K(z,u)) = L(x,y \ 1,T(z,u)). L(R(x,y \ 1,z),1 / y,1 / y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). L(R(x,y \ 1,z),y,y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). L(R(x,y \ 1,z),y,y) = ((1 \ (x / y)) * z) / ((1 / y) * z). L(R(x,y \ 1,z),y,y) = ((x / y) * z) / ((1 / y) * z). x != (y * z) / (u * z) | x = z / (u * (y \ z)). L(R(x,y \ 1,z),y,y) = z / ((1 / y) * ((x / y) \ z)). L(R(x,y \ 1,z),y,y) = z / ((y * x) \ (y * z)). x != y / ((z * u) \ (z * y)) | x = L(u,z,y \ (z \ 1)). L(R(x,y \ 1,z),y,y) = L(x,y,z \ (y \ 1)). L(x,y,z) = L(x,y,(y / z) \ (y \ 1)). L(x,y,(y / z) \ (y \ 1)) = L(x,y,z). L(x,y,z / (y * y)) = L(x,y,z). L(x,y,z \ 1) = L(x,z,y). x != L(y,z \ 1,u \ 1) | x = R(y,z,u). L(x,y,z \ 1) = R(x,z,y). R(x,y,z) = L(x,z,y \ 1). x != L(y,z * u,z \ 1) | x = L(y,z,z \ u). L(x,y,y * z) = L(x,y,y \ z). L(x,y,y \ z) = L(x,y,y * z). x != L(y \ z,y,u \ 1) | x = (y \ u) / (z \ u). L(x \ y,z,x) = (x \ z) / (y \ z). L(x,y \ 1,z) = L(x,z,y). L(x,y,z) = L(x,1 / z,y). L(x,1 / y,z) = L(x,z,y). R(x,y,z \ 1) = R(x,z,y). x != L(y,z,u \ 1) | x = L(y,u,z). R(x,y,z) = L(x,y,z). x != L(y,z,u \ 1) | x = R(y,u,z). L(x,y,z) = R(x,y,z). x / (y * z) = L((x / z) / y,y,z). L((x / y) / z,z,y) = x / (z * y). x != R(y,z,u) | x = y * a(z,u,y). L(x,y,z) = x * a(y,z,x). x != R(y,z,K(z,u) * w) | x = R(y,z,w). L(x,y,K(y,z) * u) = R(x,y,u). x != R(y,z,u) | x = u / (z * ((y * z) \ u)). L(x,y,z) = z / (y * ((x * y) \ z)). x * y != R(z,u,w) | x \ L(z,u,w) = y. x \ L(x,y,z) = a(y,z,x). a(x,y,z) = z \ L(z,x,y). L(x,y,z) * (y * z) = (x * y) * z. L(x,y,z) * (z * y) = (x * y) * T(z,y). x != L(y,z,u) | x = R(y,z,u). L(x,y \ 1,z) = R(x,z,y). R(x,y,z) = L(x,z \ 1,y). x != L(a(y,z,u),w \ 1,v5) | x = R(a(y,z,u),w,w \ (v5 \ 1)). L(a(x,y,z),u,w) = R(a(x,y,z),w,w \ (u \ 1)). R(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),w,u). x != L(y,z,(u \ w) \ w) | x = L(y,z,T(u,w)). L(x,(y \ z) \ z,u) = L(x,u \ 1,T(y,z)). L(x,y,z \ 1) != u | L(x,z,y) = u. L(x,L(y \ 1,z,u),w) = L(x,w,L(y,z,u)). R(x,y,z) = R(x,z \ 1,y). R(x,y \ 1,z) = R(x,z,y). x != y * a(z,u,y) | x = a(z,u,y) * y. L(x,y,z) = a(y,z,x) * x. x * y != L(x,z,u) | y = a(x \ 1,u,z). a(x,y,z) = a(z \ 1,y,x). a(x \ 1,y,z) = a(z,y,x). x != (y \ 1) \ L(y \ 1,z,u) | x = a(y,u,z). a(x,y,z \ 1) = a(z,y,x). x != y \ L(y,z,u) | x = a(y,u,z) \ 1. a(x,y,z) = a(z,y,x) \ 1. a(x,y,z) \ 1 = a(z,y,x). x != R(y,z \ 1,u) | x = u / ((y \ (u / z)) * z). R(x,y,z) = y / ((x \ (y / z)) * z). a(x \ 1,y,z) = a(x,z,y). x != a(y,z,u) \ 1 | x = u \ L(u,z,y). a(x,y,z) = x \ L(x,y,z). L(x,y,z) = x * a(x,y,z). x != a(y \ 1,z,u) | x = a(u,z,y). a(x,y,z) = a(y,z,x). a(x,y,z) = a(z,x,y). x != a(y \ 1,z,u) | x = a(y,z,u) \ 1. a(x,y,z) = a(x,z,y) \ 1. a(x,y,z) \ 1 = a(x,z,y). x / a(y,z,u) = x * a(y,u,z). L(x,y,z) = a(x,y,z) * x. x != a(T(y,z),u,w) | x = T(a(y,u,w),z). a(x,y,T(z,u)) = T(a(z,x,y),u). x != a(y,z,u) | x = L(y,u,z) \ y. a(x,y,z) = L(z,y,x) \ z. a(x,y,K(z,u)) = a(z,x,K(y,u)). a(x,y,K(z,u)) = a(u,x,K(z,y)). x != a(y,z,u) | x = a(u,z,y \ 1). a(x,y,z) = a(x,z,y \ 1). a(x,y,z \ 1) = a(x,z,y). x != y | x = y * 1. a(x,y,z) = a(y,z,x) * 1. a(x,y,z) * 1 = a(z,x,y). a(x,y,z) * x != u | L(x,y,z) = u. (x * y) * a(y,z,u) = x * L(y,z,u). a(x,y,z) * u = L(x,y,z) * (x \ u). L(x,y,z) * (x \ u) = a(x,y,z) * u. a(x,y,z) = x \ R(x,y,z). x != y * a(y,z,K(u,w)) | x = T(y,a(w,z,u)). L(x,y,K(z,u)) = T(x,a(u,y,z)). x * a(y,z,K(u,x)) = L(x,z,K(y,u)). (x * L(y,z,u)) * (y \ (x \ 1)) = L(T(a(y,z,u),y \ (x \ 1)),y,x). L(T(a(x,y,z),x \ (u \ 1)),x,u) = (u * L(x,y,z)) * (x \ (u \ 1)). a(x,y,z) \ 1 != u | a(x,z,y) = u. L(x,y,z) != u * x | a(x,y,z) = u. a(x,y,(z \ 1) * u) = a(x,u \ z,y). a(x,y,z) != u | u = a(y,z,x). a(x,y,z) != u | a(y,z,x) = u. a(x \ 1,y,z) != u | a(z,y,x) = u. L(x,y,z / y) = L(x,y,y * z). x != L((y \ 1) \ z,y,y \ u) | x = (((y * z) / (y * u)) * y) * u. L((x \ 1) \ y,x,x * z) = (((x * y) / (x * z)) * x) * z. (((x * y) / (x * z)) * x) * z = L((x \ 1) \ y,x,x * z). x != L(y,z * u,(z * u) \ (w \ 1)) | x = L(y,z * u,w \ (u \ (z \ 1))). L(x,y * z,(y * z) * (u \ 1)) = L(x,y * z,u \ (z \ (y \ 1))). L(x,y * z,u \ (z \ (y \ 1))) = L(x,y * z,(y * z) * (u \ 1)). x != R(y,z,u) | x = L(y,z,u). L(x,y,K(y,z) * u) = L(x,y,u). ((x * y) * z) * a(x,z,y) != u | x * (y * z) = u. a(x,y,T(z,u)) = T(a(x,y,z),u). x != a(y,z,u) | x = a(z,u,y). a(x,y,K(z,u)) = a(x,K(y,u),z). a(x,K(y,z),u) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,z,K(x \ u,y)). a(x,y,K(x \ z,u)) = a(x,u,K(y,z)). L(x,y,K(z,u)) = x * a(y,u,K(z,x)). x * a(y,z,K(u,x)) = L(x,y,K(u,z)). L(x,y,T(y,z)) = L(x,y,y). L(x,y,T(z,y) \ u) = L(x,y,z \ u). L(x,y / z,z \ y) = L(x,y / z,y / z). L(x,y / z,y / z) = L(x,y / z,z \ y). x != T(a(y,z,u),w) | x = a(z,u,T(y,w)). a(x,y,T(z,u)) = a(y,z,T(x,u)). a(x,y,T(z,u)) = a(z,x,T(y,u)). a(x,y,T(z,u)) = a(x,T(y,u),z). a(x,T(y,z),u) = a(x,y,T(u,z)). L((x \ 1) \ y,z / x,x \ 1) = (x * (z * (1 / x))) / (y \ (z / x)). (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,y / x,x \ 1). L(((x / y) / z) / u,u,T(z,y)) = (x / T(y,z)) / (u * T(z,y)). L(x,y,z) \ z = y * ((x * y) \ z). (x * y) * z != u * (y * z) | L(x,y,z) = u. L(x,L(y,z,u),z * u) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). L(x,y,z \ (u \ 1)) != w | L(x,u * z,y) = w. L(x,y,y \ z) != u | L(x,y,y * z) = u. R(x,y,z) != u | L(x,y,z) = u. L(x,y \ 1,z) != u | L(x,z,y) = u. x / ((y \ (x / z)) * z) != u | L(y,x,z) = u. ((x * y) / a(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,z,u)). L(x,y,z) * u = a(x,y,z) * (x * u). a(x,y,z) * (x * u) = L(x,y,z) * u. a(x,y,(z \ 1) * (u \ z)) = a(x,T(u,u \ z),y). a(x,T(y,y \ z),u) = a(x,u,(z \ 1) * (y \ z)). a(x,y,(z \ 1) * u) \ 1 = a(x,y,u \ z). x != y * a(z,u,K(w,y)) | x = L(y,u,K(z,w)). L(x,y,K(z,u)) = L(x,u,K(y,z)). x != y * a(z,u,K(w,y)) | x = L(y,K(w,z),u). L(x,y,K(z,u)) = L(x,K(z,y),u). L(x,K(y,z),u) = L(x,z,K(y,u)). x != L(y,z,K(u,w)) | x = L(y,z,K(u,u \ w)). L(x,y,K(z,u)) = L(x,u,K(y,y \ z)). L(x,y,K(z,z \ u)) = L(x,z,K(u,y)). x != L(y,z,K(u,w)) | x = L(y,z,K(w * u,w)). L(x,y,K(z,u)) = L(x,u,K(z * y,z)). L(x,y,K(z * u,z)) = L(x,u,K(z,y)). L(x,K(y,z \ u),w) = L(x,u / z,K(y,w)). x != L(y,K(z,u),z \ (w \ K(u,z))) | x = L(y,K(u,z),w * z). L(x,y,K(z,z \ (u \ K(y,z)))) = L(x,K(y,z),u * z). L(L(x,y,K(z,u)),K(y,z),u) = x. L(x,y,K(z,u \ 1)) != w | L(x,u,K(z,y)) = w. L(x,y,T(T(z,u),y) \ (u \ 1)) = L(x,y,u \ (z \ 1)). a(x,y,z) * (x * u) = (a(x,y,z) * x) * u. (a(x,y,z) * x) * u = a(x,y,z) * (x * u). x != L(y,z,K(u,w)) | x = L(y,w,K(z,u)). L(x,y,K(z,u)) = L(x,y \ z,K(u,y)). L(x,y \ z,K(u,y)) = L(x,y,K(z,u)). x != L(y,z,K(u,w)) | x = L(y,u,K(w,z)). L(x,y,K(z,u)) = L(x,z * y,K(z,u)). L(x,y * z,K(y,u)) = L(x,z,K(y,u)). L(x,y,K(z,u / w)) = L(x,w / u,K(z,y)). L(x,y / z,K(u,w)) = L(x,w,K(u,z / y)). L(x,y,T(z,u)) = L(L(x,y,z),y,K(z,u)). L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. L(x,y,T(z,u)) = L(L(x,y,z),u,K(y,z)). L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). L(L(x,y,T(z,u)),K(y,z),u) = L(x,y,z). L(x / (y * z),u,K(y,z)) = L((x / z) / y,y,T(z,u)). L((x / y) / z,z,T(y,u)) = L(x / (z * y),u,K(z,y)). x != L(y,K(z,u),w) | x = L(y,u,K(z,w)). L(x,y,z) = L(L(x,y,T(z,u)),z,K(y,u)). L(L(x,y,T(z,u)),z,K(y,u)) = L(x,y,z). L(L(x,y,z * u),u * z,K(y,z \ 1)) = L(x,y,u * z). x != L(y,z \ 1,u) | x = L(y,u,z). L(x,(y \ z) \ z,u) = L(x,T(y,z),u). x != L(y,(z \ u) \ u,w) | x = L(y,T(z,z * u),w). L(x,T(y,z),u) = L(x,T(y,y * z),u). L(x,T(y,y * z),u) = L(x,T(y,z),u). a(x,y,T(z,u)) = L(x,T(z,z * u),y) \ x. L(x,T(y,y * z),u) \ x = a(x,u,T(y,z)). x != L(y,z / u,z / u) | x = L(y,u \ z,u \ z). L(x,y / z,z \ y) = L(x,z \ y,z \ y). a(x,(y \ 1) * z,u) = a(x,u,z \ y). a(x,y * z,u) = a(x,u,z \ (1 / y)). a(x,y,z \ (1 / u)) = a(x,u * z,y). a(x,((y \ z) \ 1) * z,u) = a(x,u,T(y,z) \ 1). L(x,y / z,K(u,w)) = L(x,z \ y,K(u,w)). L(a(x,y,z),x,u) = a(x,y,z). a(x,y,T(z,z * u)) = a(x,y,T(z,u)). a(x,y,T(z,u)) = a(x,y,T(z,z \ u)). a(x,y,T(z,z \ u)) = a(x,y,T(z,u)). x != a(y,z,T(u,w)) | x = a(u,y,T(z,w)). a(x,y,T(z,u)) = a(z,x,T(y,z \ u)). a(x,y,T(z,x \ u)) = a(y,z,T(x,u)). a(x,y,T(z,x \ u)) = a(x,y,T(z,u)). x != L(y,z / u,u \ z) | x = (u * (z \ (z \ u))) * ((u \ z) * ((z / u) * y)). L(x,y \ z,y \ z) = (y * (z \ (z \ y))) * ((y \ z) * ((z / y) * x)). (x * (y \ (y \ x))) * ((x \ y) * ((y / x) * z)) = L(z,x \ y,x \ y). x != L(y,z \ u,K(w,z)) | x = L(y,z,K(u,w)). L(x,y / z,K(u,z)) = L(x,z,K(y,u)). x != L(L(y,z \ 1,u),u / z,K(u,w)) | x = L(y,z \ 1,T(u,w)). L(L(x,y \ 1,z),y \ z,K(z,u)) = L(x,y \ 1,T(z,u)). L(x,y,K(z * u,z)) != w | L(x,u,K(z,y)) = w. L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. T(x,a(y,z,u)) != w | L(x,u,K(y,z)) = w. L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w. L(x * a(y,z,u),y,K(u,z)) = a(y,z,u) * x. L(x,K(y,z),u) != w | L(x,z,K(y,u)) = w. L(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),w,u). x != a(y,z,(u \ 1) * w) | x = a(y,w \ u,z). a(x,T(y,y \ z),u) = a(x,(y \ z) \ z,u). x != a(y,z,u \ 1) | x = a(y,u,z). a(x,((y \ z) \ 1) * z,u) = a(x,T(y,z),u). a(x,(y \ z) \ z,u) = a(x,T(y,z),u). x != a(y,(z \ u) \ u,w) | x = a(y,T(z,z \ u),w). a(x,T(y,z),u) = a(x,T(y,y \ z),u). a(x,T(y,y \ z),u) = a(x,T(y,z),u). x != a(y,T(z,u),w) | x = a(y,z,T(w,u)). a(x,T(y,z),u) = a(x,y,T(u,y \ z)). a(x,y,T(z,y \ u)) = a(x,T(y,u),z). a(x,y,T(z,y \ u)) = a(x,y,T(z,u)). L(a(x,y,z),u,u * (w \ 1)) = L(a(x,y,z),w,u). x != L(y,z,z * (u \ 1)) | x = L(y,z,u \ z). L(a(x,y,z),u,w) = L(a(x,y,z),w,u \ w). L(a(x,y,z),u,w \ u) = L(a(x,y,z),w,u). L(x,y,K(z,z \ (u \ 1))) = L(x,K(y,z),u * z). L(x,y,z \ (T(u,y) \ 1)) = L(x,y,z \ (u \ 1)). L(x,T(y,z) * u,z) = L(x,z,u \ (y \ 1)). L(x,T(y,z) * u,z) != w | L(x,y * u,z) = w. L(L(x,y,z * u),z,K(y,u * z)) = L(x,y,u * z). x != L((y / z) / u,u,T(z,w)) | x = L(y / (u * z),w,K(u,z)). (x / T(y,z)) / (u * T(z,y)) = L((x / y) / (u * z),y,K(u,z)). L((x / y) / (z * u),y,K(z,u)) = (x / T(y,u)) / (z * T(u,y)). L(x,y * z,u \ (z \ (y \ 1))) = L(x,y * z,u \ (y * z)). x != L(a(y,z,u),y * (z * u),w \ ((z * u) \ (y \ 1))) | x = w / (((y * z) * u) \ ((y * (z * u)) * w)). L(a(x,y,z),x * (y * z),u \ (x * (y * z))) = u / (((x * y) * z) \ ((x * (y * z)) * u)). ((x * y) * a(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,u,z)). (x * L(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,u,z)). (x * L(y,z,u)) * (y \ (x \ 1)) = (x * y) / (x * L(y,u,z)). L(a(x,y,T(z,x \ (u \ 1))),x,u) = (u * L(x,y,z)) * (x \ (u \ 1)). (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,x,y / x). x != L(y,z,u / z) | x = L(y,z,z * u). (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,x,x * y). (x * ((1 / (x / y)) \ ((1 / (x / y)) \ x))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). x != L(a(y,z,u),y,w) | x = a(y,z,u). (x * L(y,z,u)) * (y \ (x \ 1)) = a(y,z,T(u,y \ (x \ 1))). x != a(y,z,T(u,y \ w)) | x = a(y,z,T(u,w)). (x * L(y,z,u)) * (y \ (x \ 1)) = a(y,z,T(u,x \ 1)). x != (y * L(z,u,w)) * (z \ (y \ 1)) | x = (y * z) / (y * L(z,w,u)). a(x,y,T(z,u \ 1)) = (u * x) / (u * L(x,z,y)). (x * y) / (x * L(y,z,u)) = a(y,u,T(z,x \ 1)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),K(u,w),T(z,x \ 1)). R(x,y * (1 / (z * y)),u \ 1) = u \ (z \ ((z * u) * x)). R(x,y * (1 / (z * y)),u \ 1) != w | ((x / (z * u)) * z) * u = w. ((x / (y * z)) * y) * z = L(x,(u * (1 / (y * u))) \ 1,z). L(x,(y * (1 / (z * y))) \ 1,u) = ((x / (z * u)) * z) * u. L(x,(1 / (y * z)) \ (z \ 1),u) = ((x / (y * u)) * y) * u. L(x,K(y,y \ 1) * z,u) = ((x / (z * u)) * z) * u. L(x,y,z) = ((x / (y * z)) * y) * z. x != (((y * z) / (y * u)) * y) * u | x = L((y \ 1) \ z,y,y * u). L(x * y,x,z) = L((x \ 1) \ y,x,x * z). L((x \ 1) \ y,x,x * z) = L(x * y,x,z). ((x / (y * z)) * z) * T(y,z) = L(x,z,y). L(x,y,z) = ((x / (z * y)) * y) * T(z,y). L(x \ 1,y,z) = ((x \ (1 / (y * z))) * y) * z. ((x \ (1 / (y * z))) * y) * z = L(x \ 1,y,z). L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,1 / (y * z)) * y) * z. x * y != ((z / (u * w)) * w) * T(u,w) | L(z,w,u) / y = x. L(x,y,z) / (z * y) = L(x / (z * y),y,z). L(x / (y * z),z,y) = L(x,z,y) / (y * z). x != L((y \ 1) \ z,y,y * u) | x = (y * (u * (1 / y))) / (z \ (u / y)). L(x * y,x,z) = (x * (z * (1 / x))) / (y \ (z / x)). (x * (y * (1 / x))) / (z \ (y / x)) = L(x * z,x,y). x != L(y,z,u) / (u * z) | x = (y / z) / u. L(x / (y * z),z,y) = (x / z) / y. L(x / (y * z),z,y) != u | (x / z) / y = u. L(x / (y * z),T(y,z),z) = (x / T(y,z)) / z. x * y != ((z \ (1 / (u * w))) * u) * w | x \ L(z \ 1,u,w) = y. ((x \ (1 / (y * z))) * (y * z)) \ L(x \ 1,y,z) = a(x \ (1 / (y * z)),y,z). L(x / (y * z),y,z) = (x / T(y,z)) / z. L(x * ((y / (z * u)) / x),z,u) = x * (((y / T(z,u)) / u) / x). x != (y * (z * (1 / y))) / (u \ (z / y)) | x = T(z \ 1,y \ 1) \ ((y * (z \ 1)) * u). L(x * y,x,z) = T(z \ 1,x \ 1) \ ((x * (z \ 1)) * y). T(x \ 1,y \ 1) \ ((y * (x \ 1)) * z) = L(y * z,y,x). x != T((y \ 1) \ 1,z \ 1) \ ((z * ((y \ 1) \ 1)) * u) | x = T(y,z \ 1) \ ((z * y) * u). L(x * y,x,z \ 1) = T(z,x \ 1) \ ((x * z) * y). T(x,y \ 1) \ ((y * x) * z) = L(y * z,y,x \ 1). T(x,y \ 1) \ ((y * x) * z) = L(y * z,x,y). L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,(y * z) \ 1) * y) * z. L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,z \ (y \ 1)) * y) * z. L((1 / (x * y)) \ z,x,y) = (T(z,y \ (x \ 1)) * x) * y. (T(x,y \ (z \ 1)) * z) * y = L((1 / (z * y)) \ x,z,y). (x \ 1) \ L(x \ 1,y,z) = a(x \ (1 / (y * z)),y,z). a(x \ (1 / (y * z)),y,z) = (x \ 1) \ L(x \ 1,y,z). a(x \ (1 / (y * z)),y,z) = a(x,z,y). a(x,y,z \ (1 / (x * y))) = a(z,y,x). x != a(y,z,u \ (1 / w)) | x = a(y,w * u,z). a(x,y,z) = a(z,(z * y) * x,y). a(x,(x * y) * z,y) = a(z,y,x). ((x \ ((y / x) \ z)) \ 1) * (z * ((x \ ((y / x) \ z)) \ 1)) = (z \ (y * (y / x))) * x. (x \ ((y / x) \ z)) \ (z / (x \ ((y / x) \ z))) = (z \ (y * (y / x))) * x. (x \ (y * (y / z))) * z = (((y / z) \ x) \ z) * (x * (((y / z) \ x) \ z)). (((x / y) \ z) \ y) * (z * (((x / y) \ z) \ y)) = (z \ (x * (x / y))) * y. x != ((y \ z) \ u) * (z * ((y \ z) \ u)) | x = (z \ y) * (u * (y * u)). (x \ (y * (y / z))) * z = (x \ (y / z)) * (z * ((y / z) * z)). (x \ (y / z)) * (z * ((y / z) * z)) = (x \ (y * (y / z))) * z. (x \ (y / z)) * (z * y) = (x \ (y * (y / z))) * z. (x \ (y * (y / z))) * z = (x \ (y / z)) * (z * y). x != L(a(y,z,u),w,v5 \ w) | x = L(a(y,z,u),v5,w). x / (((y * z) * u) \ ((y * (z * u)) * x)) = L(a(y,z,u),x,y * (z * u)). x / (((T(y,(z * u) \ 1) * z) * u) \ (((1 / (z * u)) \ y) * x)) = L(a(T(y,(z * u) \ 1),z,u),x,T(y,(z * u) \ 1) * (z * u)). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (((T(x,(y * z) \ 1) * y) * z) \ (((1 / (y * z)) \ x) * u)). T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 * K(y \ K(z,u),y)) * w) \ x. T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 * K(y,y \ K(z,u))) * w) \ x. T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = (K(y,y \ K(z,u)) * w) \ x. T(x,y) * (y \ K(z,z \ K(u,w))) = (K(z,z \ K(u,w)) * y) \ x. (x \ y) * K(z,z \ K(u,w)) = (K(z,z \ K(u,w)) * x) \ y. (K(x,x \ K(y,z)) * u) \ w = (u \ w) * K(x,x \ K(y,z)). x != a(y,K(z,u),w) | x = a(y,z,K(w,u)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(T(z,x \ 1),w)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(z,T(w,x))). x != a(y,z,K(u,T(w,v5))) | x = a(y,z,K(u,w)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(z,w)). x != a(y,z,K(u,w)) | x = a(z,u,K(y,w)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K((y / z) / (u * w),w)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K(w \ ((y / z) / u),w)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K((y / z) / u,w)). x != a(y,z,K(u / w,v5)) | x = a(y,z,K(w \ u,v5)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K(u \ (y / z),w)). x != a(y,z,K(y \ u,w)) | x = a(y,w,K(z,u)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,y / z)). x != a(y,z,K(u,w / v5)) | x = a(y,z,K(u,v5 \ w)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,z \ y)). x != a(y,z,K(u,u \ w)) | x = a(y,z,K(u,w)). (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,y)). (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). (K(x,K(y,z)) * (u * w)) \ (u * ((w * v5) * K(x,K(y,z)))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,u * K(x,K(y,z))). L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,y,z * K(u,K(w,v5))). L(x,y,z * K(u,K(w,v5))) = L(x,y,z). L(x,y,K(z,u \ w)) = L(x,y,K(z,w / u)). L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). x != L(y,z,K(u,w / v5)) | x = L(y,v5 / w,K(u,z)). L(x,y,K(z,u \ w)) = L(x,u / w,K(z,y)). L(x,y / z,K(u,w)) = L(x,w,K(u,y \ z)). x != L(y,z / u,K(w,u)) | x = L(y,u,K(z,w)). L(x,y,K(z,u \ y)) = L(x,y,K(u,z)). L(x,y \ z,K(z,u)) = L(x,z,K(y,u)). x != L(L(y,z \ 1,u),z \ u,K(u,w)) | x = L(y,z \ 1,T(u,w)). L(L(x,y \ 1,z),z,K(y,u)) = L(x,y \ 1,T(z,u)). L(L(x,y,z),y,K(z,u)) = L(x,z \ 1,T(y,u)). L(x,y,T(z,u)) = L(x,z \ 1,T(y,u)). L(x,y \ 1,T(z,u)) = L(x,z,T(y,u)). L(x,T(y,z),u) = L(x,y,T(u,z)). x != L(y,z,T(u * w,u)) | x = L(y,z,w * u). L(x,T(y,z),z * u) = L(x,y,u * z). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (((T(x,z \ (y \ 1)) * y) * z) \ (((1 / (y * z)) \ x) * u)). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (L((1 / (y * z)) \ x,y,z) \ (((1 / (y * z)) \ x) * u)). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a((1 / (y * z)) \ x,z,y) * u). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(y,(1 / (y * z)) \ x,z) * u). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(y,(y * z) * x,z) * u). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(x,z,y) * u). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u \ (u / a(x,z,y)). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u \ (u * a(x,y,z)). L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = a(x,y,z). L(a(T(x,y \ (z \ 1)),z,y),u,T(x,(z * y) \ 1) * (z * y)) = a(x,z,y). L(a(x,y,T(z,y \ (x \ 1))),u,T(z,(x * y) \ 1) * (x * y)) = a(z,x,y). L(a(x,y,T(z,x \ 1)),u,T(z,(x * y) \ 1) * (x * y)) = a(z,x,y). L(a(x,y,T(z,1)),u,T(y,(z * x) \ 1) * (z * x)) = a(y,z,x). L(a(x,y,z),u,T(y,(z * x) \ 1) * (z * x)) = a(y,z,x). L(a(x,y,z),u,T(x,(y * z) \ 1) * (y * z)) = a(x,y,z). L(a(x,y,z),u,(1 / (y * z)) \ x) = a(x,y,z). x != L(y,z,(1 / u) \ w) | x = L(y,z,u * w). a(x,y,z) = L(a(x,y,z),u,(y * z) * x). L(a(x,y,z),u,(y * z) * x) = a(x,y,z). x != L(y,T(z,u),u * w) | x = L(y,z,w * u). a(x,y,z) = L(a(x,y,z),u,x * (y * z)). L(a(x,y,z),u,x * (y * z)) = a(x,y,z). ((K(x,x \ K(y,z)) \ u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). ((K(x \ K(y,z),x) * u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). ((K(x,x \ K(y,z)) * u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). ((x \ y) * K(z,z \ K(u,w))) * ((x \ 1) * K(z,z \ K(u,w))) = (x \ K(z,z \ K(u,w))) * ((x / y) \ K(z,z \ K(u,w))). ((x \ y) * K(z,z \ K(u,w))) * (x \ K(z,z \ K(u,w))) = (x \ K(z,z \ K(u,w))) * ((x / y) \ K(z,z \ K(u,w))). x != (y * K(z,z \ K(u,w))) * v5 | x = y * (K(z,z \ K(u,w)) * v5). (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (K(y,y \ K(z,u)) * (x \ K(y,y \ K(z,u)))). (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (K(y,K(z,u)) * (x \ K(y,K(z,u)))). x != y * (K(z,K(u,w)) * (v5 \ K(z,K(u,w)))) | x = y * (v5 \ 1). (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (x \ 1). (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = x \ (w / x). (x \ K(y,y \ K(z,u))) * (w * (x \ K(y,y \ K(z,u)))) = x \ (w / x). (x * ((1 / (x / y)) \ (x / (x \ y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * ((x / y) / (x \ (y / x)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x / (x \ ((y / x) * y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x / ((x \ y) * (x \ y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x * (y \ ((y / x) \ x)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x * (y \ ((y / x) \ x)))) * ((x \ (1 / (x / y))) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x * (y \ ((y / x) \ x)))) * ((x \ (1 / (x / y))) * ((1 / (x * (x / y))) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). x != (y * (y * (z \ ((z / y) \ y)))) * u | x = (y * (y / z)) * (((y \ z) / y) \ u). L(x,y \ (1 / (y / z)),y \ (1 / (y / z))) = (y * (y / z)) * (((y \ z) / y) \ ((y \ (1 / (y / z))) * ((1 / (y * (y / z))) * x))). (x * (x / y)) * (((x \ y) / x) \ ((x \ (1 / (x / y))) * ((1 / (x * (x / y))) * z))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x / y)) * (K(y,y \ 1) * ((1 / (x * (x / y))) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x / y)) * (K(y,y \ 1) / (z \ (x * (x / y)))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). L(x,y \ (1 / (y / z)),y \ (1 / (y / z))) = (y * (y / z)) * (z * (1 / ((x \ (y * (y / z))) * z))). (x * (x / y)) * (y * (1 / ((z \ (x * (x / y))) * y))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x / y)) * (y * (1 / ((z \ (x / y)) * (y * x)))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). x != L(y,z,u \ (1 / (u / w))) | x = L(y,z,(u \ w) / u). (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (1 / (x / y)),(x \ y) / x). x != L(y,z \ (1 / (z / u)),w) | x = L(y,(z \ u) / z,w). (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,(x \ y) / x,(x \ y) / x). (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (x \ y),x \ (x \ y)). x != L(y,z \ (z \ u),z \ (z \ u)) | x = L(y,z * (u \ z),z * (u \ z)). (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x * (y \ x),x * (y \ x)). (x * (x / y)) * (((x * x) / y) \ L(z,y,y)) = L(z,x * (y \ x),x * (y \ x)). (x * (x / y)) * ((x * (x / y)) \ L(z,y,y)) = L(z,x * (y \ x),x * (y \ x)). L(x,y * (z \ y),y * (z \ y)) = L(x,z,z). x != L(y,z * (((z * u) * w) \ z),z * (((z * u) * w) \ z)) | x = L(y,u * (z \ w),u * (z \ w)). L(x,(y * z) * u,(y * z) * u) = L(x,z * (y \ u),z * (y \ u)). x != L(y,(z * u) * w,(z * u) * w) | x = L(y,w \ (u \ (z \ 1)),w \ (u \ (z \ 1))). L(x,y * (z \ u),y * (z \ u)) = L(x,u \ (y \ (z \ 1)),u \ (y \ (z \ 1))). L(x,y \ (z \ (u \ 1)),y \ (z \ (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). x != L(y,((1 / z) * u) * w,((1 / z) * u) * w) | x = L(y,(u \ z) \ w,(u \ z) \ w). L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,(y \ z) \ u,(y \ z) \ u). L(x,y * (z / (u \ 1)),y * (z / (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). L(x,y * ((1 / z) \ u),y * (z / (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,z * (u \ y),z * (u \ y)). x != L(y,z * ((1 / u) \ w),z * ((1 / u) \ w)) | x = L(y,(z \ u) \ w,(z \ u) \ w). L(x,y * (z \ u),y * (z \ u)) = L(x,(u \ y) \ z,(u \ y) \ z). L(x,(y \ z) \ u,(y \ z) \ u) = L(x,z * (u \ y),z * (u \ y)). L(x,y * z,y * z) = L(x,1 * (z \ y),1 * (z \ y)). L(x,1 * (y \ z),1 * (y \ z)) = L(x,z * y,z * y). L(x,y \ z,1 * (y \ z)) = L(x,z * y,z * y). L(x,y \ z,y \ z) = L(x,z * y,z * y). x != L(y,z \ u,z \ u) | x = L(y,u * (1 / z),u * (z \ 1)). L(x,y * z,y * z) = L(x,y * (1 / z),y * (z \ 1)). L(x,y * (1 / z),y * (z \ 1)) = L(x,y * z,y * z). x != L(y,z \ u,z \ u) | x = ((1 / z) * u) * ((u \ z) * y). L(x,y * z,y * z) = ((1 / z) * y) * ((y \ z) * x). ((1 / x) * y) * ((y \ x) * z) = L(z,y * x,y * x). x * (1 / (L((x \ 1) \ 1,y * z,y * z) * x)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * x,y * x) = (x * y) * z. x / (((y * x) * (((1 / x) \ (y \ 1)) \ (x * z))) \ (y * x)) = (x * y) * z. x / ((y * x) \ ((y * x) / ((y * (1 / x)) / (1 / (x * z))))) = (x * y) * z. x / ((y * x) \ ((y * x) / ((y / (x * (1 / z))) * x))) = (x * y) * z. x * (1 / ((((y * z) * (x \ 1)) \ (y * z)) * x)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / ((((x * z) * (y \ 1)) \ (x * z)) * y)). ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / (((x * z) * ((y \ (x * z)) \ 1)) * y)). ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / (((x * z) / y) \ ((x * z) * y))). ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * ((1 / ((x * z) * y)) * ((x * z) / y)). ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (y \ ((x * z) \ ((x * z) / y))). ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = (x * z) \ ((x * z) / y). (((x \ 1) \ (y \ z)) * x) \ ((x \ 1) \ (y \ z)) = (y * z) \ ((y * z) / x). ((x * (y \ z)) * x) \ (x * (y \ z)) = (y * z) \ ((y * z) / x). (x \ y) \ ((x \ y) / z) = (x * y) \ ((x * y) / z). ((x \ 1) * (T(x,y) / (z * u))) \ (T(T(x,y) \ 1,y \ 1) * (1 / (u * (T(x,y) \ 1)))) = L(z,u,K(T(x,y) \ 1,(y \ 1) \ ((T(x,y) \ 1) \ 1))). ((x \ 1) * (T(x,y) / (z * u))) \ ((x \ 1) * (1 / (u * (T(x,y) \ 1)))) = L(z,u,K(T(x,y) \ 1,(y \ 1) \ ((T(x,y) \ 1) \ 1))). L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((z \ 1) * (T(z,u) / (x * y))) \ ((z \ 1) * (1 / (y * (T(z,u) \ 1)))). L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((z \ 1) * (T(z,u) / (x * y))) \ ((z \ 1) * (T(z,u) / y)). x != ((y \ 1) * z) \ ((y \ 1) * u) | x = (z \ y) / (u \ y). L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((T(z,u) / (x * y)) \ z) / ((T(z,u) / y) \ z). L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((x * y) * K(u,z)) / ((T(z,u) / y) \ z). L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((x * y) * K(u,z)) / (y * K(u,z)). L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = R(x,y,K(u,z)). L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = L(x,y,K(u,z)). L(x,y,K(T(z,u) \ 1,(u \ 1) \ T((z \ 1) \ 1,u))) = L(x,y,K(u,z)). L(x,y,K(T(z,u) \ 1,((z \ 1) \ 1) / (1 / u))) = L(x,y,K(u,z)). L(x,y,K(T(z,u) \ 1,(z \ 1) \ (1 / (1 / u)))) = L(x,y,K(u,z)). L(x,y,K(T(z,u) \ 1,(z \ 1) \ u)) = L(x,y,K(u,z)). L(x,y,K(T(z,u) \ 1,z * u)) = L(x,y,K(u,z)). L(x,y,K(T(z,u),(z * u) \ 1)) = L(x,y,K(u,z)). L(x,y,K(T(z,u),u \ (z \ 1))) = L(x,y,K(u,z)). L(x,y,K(z,(z \ 1) / u)) = L(x,y,K(u,z)). L(x,y,K(z,z \ (u \ 1))) = L(x,y,K(u,z)). x != L(y,z,K(u,u \ (w \ 1))) | x = L(y,K(z,u),w * u). L(x,y,K(z,u)) = L(x,K(y,u),z * u). L(x,K(y,z),u * z) = L(x,y,K(u,z)). L(x,y,K(z,u * y)) = L(x,z,K(u,y)). x != L(L(y,z,u * w),u,K(z,w * u)) | x = L(y,z,w * u). L(L(x,y,z * u),y,K(u,z)) = L(x,y,u * z). L(L(x,y,z * u),z,K(y,u)) = L(x,y,u * z). x != L(L(y,z,u),w,v5) | x = L(L(y,w,v5),z,u). L(x,y,z * u) = L(L(x,u,K(y,z)),y,u * z). L(L(x,y,K(z,u)),z,y * u) = L(x,z,u * y). L(L(x,y,K(z,u)),u,z * y) = L(x,u,y * z). ((K(x,x \ K(y,z)) \ (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). ((K(x \ K(y,z),x) * (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). ((K(x,x \ K(y,z)) * (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). (((x / y) \ z) * K(u,u \ K(w,v5))) * (((x / y) \ 1) * K(u,u \ K(w,v5))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). (((x / y) \ z) * K(u,u \ K(w,v5))) * ((y * (x \ 1)) * K(u,u \ K(w,v5))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). (((x / y) \ z) * K(u,u \ K(w,v5))) * (y * ((x \ 1) * K(u,u \ K(w,v5)))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). (((x / y) \ z) * K(u,u \ K(w,v5))) * (y * (x \ K(u,u \ K(w,v5)))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). (x * (y \ K(z,z \ K(u,w)))) * (v5 * ((y / x) \ K(z,z \ K(u,w)))) = ((y / x) \ v5) * (K(z,z \ K(u,w)) * (x * (y \ K(z,z \ K(u,w))))). ((x / y) \ z) * (K(u,u \ K(w,v5)) * (y * (x \ K(u,u \ K(w,v5))))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). ((x / y) \ z) * (y * (x \ 1)) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). (x * (y \ K(z,z \ K(u,w)))) * (v5 * ((y / x) \ K(z,z \ K(u,w)))) = ((y / x) \ v5) * (x * (y \ 1)). x != ((y / z) \ u) * (z * (y \ 1)) | x = (z / y) * (u * (z / y)). (x * (y \ K(z,z \ K(u,w)))) * (v5 * ((y / x) \ K(z,z \ K(u,w)))) = (x / y) * (v5 * (x / y)). (x * (y \ K(z,z \ K(u,w)))) * (v5 * (x * (y \ K(z,z \ K(u,w))))) = (x / y) * (v5 * (x / y)). x != (y * z) * (u * (y * z)) | x = y * (z * ((u * y) * z)). (x / y) * (z * (x / y)) = x * ((y \ K(u,u \ K(w,v5))) * ((z * x) * (y \ K(u,u \ K(w,v5))))). x * ((y \ K(z,z \ K(u,w))) * ((v5 * x) * (y \ K(z,z \ K(u,w))))) = (x / y) * (v5 * (x / y)). x * (y \ ((z * x) / y)) = (x / y) * (z * (x / y)). (x / y) * (z * (x / y)) = x * (y \ ((z * x) / y)). x != (y / z) * (u * (y / z)) | x = (z / y) \ (u / (z / y)). x * (y \ ((z * x) / y)) = (y / x) \ (z / (y / x)). (x / y) \ (z / (x / y)) = y * (x \ ((z * y) / x)). (x / y) * (((x / y) \ 1) * z) = x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)). x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = (x / y) * (((x / y) \ 1) * z). x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = (x / y) * ((y * (x \ 1)) * z). x != (y / z) * ((z * (y \ 1)) * u) | x = L(u,z \ y,z \ y). x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = L(z,y \ x,y \ x). x * (y \ (((y * (x \ ((z * y) / x))) * x) / y)) = L(z,y \ x,y \ x). x * ((x \ ((y * z) / x)) * (x * (z \ 1))) = L(y,z \ x,z \ x). x != L(y,z \ u,z \ u) | x = L(y,u * z,u * z). x * ((x \ ((y * z) / x)) * (x * (z \ 1))) = L(y,x * z,x * z). x * ((x \ 1) * ((y * z) * (z \ 1))) = L(y,x * z,x * z). x * ((x \ 1) * L(y,z,z)) = L(y,x * z,x * z). L(L(x,y,y),z,z) = L(x,z * y,z * y). L(x,y * z,y * z) = L(L(x,z,z),y,y). x != L(y,z * u,z * u) | x = L(y,u \ z,u \ z). L(L(x,y,y),z,z) = L(x,y \ z,y \ z). L(x,y \ z,y \ z) = L(L(x,y,y),z,z). x != L(1 / y,z \ u,z \ u) | x = ((1 / u) * z) \ (((1 / u) * z) / y). L(L(1 / x,y,y),z,z) = ((1 / z) * y) \ (((1 / z) * y) / x). ((1 / x) * y) \ (((1 / x) * y) / z) = L(L(1 / z,y,y),x,x). ((1 / x) * y) \ (((1 / x) * y) / z) = L(y \ (y / z),x,x). ((1 / x) * y) \ (1 / (z * (y \ x))) = L(y \ (y / z),x,x). (x \ y) / (z * (x \ y)) = L(x \ (x / z),y,y). (x \ y) \ ((x \ y) / z) = L(x \ (x / z),y,y). x != (y \ z) \ ((y \ z) / u) | x = (y * z) \ ((y * z) / u). L(x \ (x / y),z,z) = (x * z) \ ((x * z) / y). (x * y) \ ((x * y) / z) = L(x \ (x / z),y,y). x / L(y \ (y / ((y / (x * (1 / z))) * x)),x,x) = (x * y) * z. x * (1 / (y \ (y / ((y / (x * (1 / z))) * x)))) = (x * y) * z. x * ((1 / (y / ((y / (x * (1 / z))) * x))) * y) = (x * y) * z. x * (y * ((((y / (x * (1 / z))) * x) \ y) \ 1)) = (x * y) * z. x * (y * (((y * x) \ (y * (x * (1 / z)))) \ 1)) = (x * y) * z. x * (y * (L(1 / z,x,y) \ 1)) = (x * y) * z. x * (y * L(z,x,y)) = (x * y) * z. L(L(x,y,z),z,y) = x. (1 / x) * (y * L(z,y,x)) = ((1 / x) * y) * z. x * (y * (z * a(x,y,z))) = (x * y) * z. x * (y * (z * (((u / T(x,y)) / y) / z))) = (x * y) * (z * ((u / (x * y)) / z)). x * ((y * (z * u)) * a(y,z,u)) = (x * (y * (z * u))) * a(y,z,u). (x * (y * (z * u))) * a(y,z,u) = x * ((y * (z * u)) * a(y,z,u)). L(x,y,z) = L(L(L(x,u,w),y,z),w,u). L(L(L(x,y,z),u,w),z,y) = L(x,u,w). x \ ((x * y) * z) = y * (z * a(x,y,z)). x * y != z * (u * a(w,z,u)) | x \ (w \ ((w * z) * u)) = y. x \ (y \ ((y * x) * z)) = z * a(y,x,z). x != y * a(z,u,y) | x = R(1 / y,z,u) \ 1. x \ (y \ ((y * x) * z)) = R(1 / z,y,x) \ 1. x \ (y \ ((y * x) * z)) = a(y,x,z) * z. x \ (y \ (x * (T(y,x) * z))) = a(y,x,L(z,y,x)) * L(z,y,x). a(x,y,L(z,x,y)) * L(z,x,y) = y \ (x \ (y * (T(x,y) * z))). (1 / x) \ ((((1 / x) * y) * z) / (1 / x)) = (y * L(z,y,x)) * ((1 / x) \ 1). x != a(y,z,u) * u | x = L(u,y,z). x \ (y \ (x * (T(y,x) * z))) = L(L(z,y,x),y,x). L(x,y * (z * u),a(y,z,u)) = x. (x / (y * (z * u))) / a(y,z,u) = x / (a(y,z,u) * (y * (z * u))). x != L(y * z,u,y) | x = T(u,y \ 1) \ ((y * u) * z). a(x,y,z) * u = T(x * (y * z),a(x,y,z) \ 1) \ ((a(x,y,z) * (x * (y * z))) * u). T(x * (y * z),a(x,y,z) \ 1) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. x != y / a(z,u,w) | x = y * a(z,w,u). x / (a(y,z,u) * (y * (z * u))) = (x / (y * (z * u))) * a(y,u,z). x / ((y * z) * u) = (x / (y * (z * u))) * a(y,u,z). (x / (y * (z * u))) * a(y,u,z) = x / ((y * z) * u). T(x * (y * z),a(x,z,y)) = (1 / ((x * y) * z)) \ a(x,z,y). (1 / ((x * y) * z)) \ a(x,z,y) = T(x * (y * z),a(x,z,y)). L(x / ((y * z) * u),y,K(z,u)) = a(y,u,z) * (x / (y * (z * u))). ((x * y) * z) * a(x,z,y) = T(x * (y * z),a(x,z,y)). T(x * (y * z),a(x,z,y)) = ((x * y) * z) * a(x,z,y). x * (y * z) = T(x * (y * z),a(x,z,y)). T(x * (y * z),a(x,z,y)) = x * (y * z). (1 / x) \ (1 / ((1 / x) * (y \ (z \ x)))) = (z * L(y,z,x)) * ((1 / x) \ 1). (1 / x) \ (1 / ((y * (z * x)) \ x)) = (y * L(z,y,x)) * ((1 / x) \ 1). (1 / x) \ ((1 / x) * (y * (z * x))) = (y * L(z,y,x)) * ((1 / x) \ 1). (x * L(y,x,z)) * ((1 / z) \ 1) = x * (y * z). (x * L(y,x,z)) * z = x * (y * z). (x * (y * z)) \ ((x * y) * (z * ((u / (x * y)) / z))) = L(L(((u / T(x,y)) / y) / z,z,y),y * z,x). L(L(((x / T(y,z)) / z) / u,u,z),z * u,y) = (y * (z * u)) \ ((y * z) * (u * ((x / (y * z)) / u))). T(x * (y * z),a(x,z,y)) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. (x * (y * z)) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. (x * (y * z)) \ (((x * y) * z) * u) = a(x,y,z) * u. (x * (y * z)) \ ((x * y) * (z * u)) = a(x,y,z) * L(u,z,x * y). L((x / T(y,z)) / (u * z),z * u,y) = (y * (z * u)) \ ((y * z) * (u * ((x / (y * z)) / u))). (x * (y * z)) \ ((x * y) * (z * ((u / (x * y)) / z))) = L((u / T(x,y)) / (z * y),y * z,x). x != (y * (z * u)) \ ((y * z) * (u * w)) | x = a(y,z,u) * L(w,u,y * z). L((x / T(y,z)) / (u * z),z * u,y) = a(y,z,u) * L((x / (y * z)) / u,u,y * z). a(x,y,z) * L((u / (x * y)) / z,z,x * y) = L((u / T(x,y)) / (z * y),y * z,x). a(x,y,z) * (u / (z * (x * y))) = L((u / T(x,y)) / (z * y),y * z,x). L((x / T(y,z)) / (u * z),z * u,y) = a(y,z,u) * (x / (u * (y * z))). L((x / T(y,z)) / (u * T(z,y)),T(z,y) * u,y) = a(y,T(z,y),u) * (x / (u * (y * T(z,y)))). L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,T(z,y),u) * (x / (u * (y * T(z,y)))). L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,z,u) * (x / (u * (y * T(z,y)))). L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,z,u) * (x / (u * (z * y))). L(a(x,y,z) * (u / (z * (y * x))),x,y * z) = (u / T(x,y)) / (z * T(y,x)). L(a(x,y,z) * (u / (x * (z * y))),y,z * x) = (u / T(y,z)) / (x * T(z,y)). L(L(x / ((y * z) * u),y,K(z,u)),u,z * y) = (x / T(u,z)) / (y * T(z,u)). x != L(L(y,z,K(u,w)),w,u * z) | x = L(y,w,z * u). (x / T(y,z)) / (u * T(z,y)) = L(x / ((u * z) * y),y,u * z). L(x / ((y * z) * u),u,y * z) = (x / T(u,z)) / (y * T(z,u)). (x / y) / (z * u) = (x / T(y,u)) / (z * T(u,y)). (x / T(y,z)) / (u * T(z,y)) = (x / y) / (u * z). (x * ((y / z) / (u * w))) / (x * ((y / z) / (u * w))) = a(u,w,K(z,y)). 1 = a(x,y,K(z,u)). a(x,y,K(z,u)) = 1. a(K(x,y),z,u) = 1. L(K(x,y),z,u) = K(x,y). L(x,y,K(z,u)) = x. L(x,y,T(z,u)) = L(x,y,z). L(x,K(y,z),u) = x. x != y | x = L(y,z,K(u,w)). L(x,y,K(z,u)) = L(x,w,K(v5,v6)). x != L(y * a(z,u,w),z,K(w,u)) | x = a(z,u,w) * y. x * a(y,z,u) = a(y,z,u) * x. a(x,y,z) * u = u * a(x,y,z). x != L(y,z,K(u,w)) | x = T(y,a(w,z,u)). x = T(x,a(y,z,u)). T(x,a(y,z,u)) = x. x != L(y \ (K(z,u) * w),y,K(u,z)) | x = (K(u,z) * y) \ w. x \ (K(y,z) * u) = (K(z,y) * x) \ u. (K(x,y) * z) \ u = z \ (K(y,x) * u). x * y != L(x * a(z,u,w),z,K(w,u)) | T(a(z,u,w),x) = y. T(a(x,y,z),u) = a(x,y,z). (K(x,y) * z) * u = K(x,y) * (z * u). (K(x,y) * (z * u)) / u != w | K(x,y) * z = w. L(x,y,T(z,u)) != w | L(x,y,z) = w. x * (y * K(z,u)) = (x * y) * K(z,u). (x * y) * K(z,u) = x * (y * K(z,u)). x * (K(y,z) * u) = (x * K(y,z)) * u. (x * K(y,z)) * u = x * (K(y,z) * u). K(x,y) * (z \ u) = (z * K(y,x)) \ u. (x * K(y,z)) \ u = K(z,y) * (x \ u). a(x,y,z) \ u = u / a(x,y,z). x / a(y,z,u) = a(y,z,u) \ x. x != T(y,a(z,u,w)) | x = T(y,L(w,u,z) \ w). x = T(x,L(y,z,u) \ y). T(x,L(y,z,u) \ y) = x. x * (a(y,z,u) \ 1) = a(y,z,u) \ x. K(x,L(y,z,u)) = K(x,y). x / (L(y,z,u) \ y) = (y \ L(y,z,u)) * x. T(x,L(y,z,u)) = x * K(x,y). x != L(y,z,T(u,w)) | x = L(y,T(z,w),u). L(x,y,z) = L(x,T(y,u),z). L(x,T(y,z),u) = L(x,y,u). L(x,y,z \ u) = L(x,y,u / z). L(x,y,z / u) = L(x,y,u \ z). L(x,y,z * (u \ 1)) = L(x,y,u \ z). x != T(a(y,z,u),w) | x = a(y,z,T(u,w)). a(x,y,z) = a(x,y,T(z,u)). a(x,y,T(z,u)) = a(x,y,z). x != T(a(y,z,u),w) | x = a(T(y,w),z,u). a(x,y,z) = a(T(x,u),y,z). a(T(x,y),z,u) = a(x,z,u). x * a(y,z,u) = (a(y,z,u) \ 1) \ x. (a(x,y,z) \ 1) \ u = u * a(x,y,z). x != L(y,T(z,u),w) | x = L(y,(z \ u) \ u,w). L(x,y,z) = L(x,(y \ u) \ u,z). L(x,(y \ z) \ z,u) = L(x,y,u). L(x,y * (z \ 1),u) = L(x,z \ y,u). L(x,y * (z \ u),w) = L(x,((1 / u) * z) \ y,w). L(x,((1 / y) * z) \ u,w) = L(x,u * (z \ y),w). L(x,y \ z,u) = L(x,(y / z) \ 1,u). L(x,(y / z) \ 1,u) = L(x,y \ z,u). L(x,(y * z) \ u,w) = L(x,u * (z \ (y \ 1)),w). L(x,y * (z \ (u \ 1)),w) = L(x,(u * z) \ y,w). a(x,y,(z \ u) \ u) = a(x,y,z). a(x,y,z * (u \ w)) = a(x,y,((1 / w) * u) \ z). a(x,y,((1 / z) * u) \ w) = a(x,y,w * (u \ z)). a(x,y,(z * u) \ u) = a(x,y,z \ 1). a(x,y,(z * u) \ w) = a(x,y,w * (u \ (z \ 1))). a(x,y,z * (u \ (w \ 1))) = a(x,y,(w * u) \ z). a(T(x,y),z,u) = L(a(x,z,u),w,K(v5,v6)). L(a(x,y,z),u,K(w,v5)) = a(T(x,v6),y,z). a(x \ y,z,u) = a(y / x,z,u). a(x / y,z,u) = a(y \ x,z,u). T(x,L(y,z,u)) = T(x,y). L(x,y,z) \ u = T(u / L(x,y,z),x). T(x / L(y,z,u),y) = L(y,z,u) \ x. x != T(y,L(z,u,w)) | x = T(y,R(z,u,w)). T(x,y) = T(x,R(y,z,u)). T(x,R(y,z,u)) = T(x,y). R(x,y,z) * T(u,x) = u * R(x,y,z). K(x,T(y,z)) * R(z,u,w) = R(z,u,w) * K(x,y). L(x,y,K(z,u)) != w | w = x. L(x,y,z * u) != w | w = L(x,y,u * z). L(x,y,z * u) != w | L(x,y,u * z) = w. x * (a(y,z,u) * w) = x * (w * a(y,z,u)). (a(x,y,z) \ u) \ u != w | w = a(x,y,z). (a(x,y,z) \ u) \ u != w | a(x,y,z) = w. x != L(y,z,u \ w) | x = L(y,z,(u \ 1) * w). L(x,y,z / u) = L(x,y,(u \ 1) * z). L(x,y,(z \ 1) * u) = L(x,y,u / z). x != a(y,z \ 1,(u \ 1) \ 1) | x = (u \ (z / y)) \ ((u \ z) / y). a(x,y \ 1,z) = (z \ (y / x)) \ ((z \ y) / x). (x \ (y / z)) \ ((x \ y) / z) = a(z,y \ 1,x). a(x,y,L(z \ 1,u,w) \ 1) = a(x,y,L(z,u,w)). L(x,y,z \ u) != w | L(x,y,u / z) = w. L(x,y,z * (u \ 1)) != w | L(x,y,u \ z) = w. (x * y) \ z = (T(x,u) * y) \ (K(x,u) * z). (T(x,y) * z) \ (K(x,y) * u) = (x * z) \ u. L(x,y,K(z,u) * w) = (K(z,u) * (w * y)) \ ((K(z,u) * w) * (y * x)). (K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,u,K(x,y) * z). R(K(x,y) * z,u,w) = ((K(x,y) * (z * u)) * w) / (u * w). ((K(x,y) * (z * u)) * w) / (u * w) = R(K(x,y) * z,u,w). R(x,K(y,z) * u,w) * (K(y,z) * (u * w)) = (x * (K(y,z) * u)) * w. (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) != v5 | a(x,K(y,z) * u,w) = v5. (x \ y) * z = K(x,u) * ((T(x,u) \ y) * z). K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. (T(x,y) * z) * u = K(x,y) * ((x * z) * u). K(x,y) * ((x * z) * u) = (T(x,y) * z) * u. (x * (y \ 1)) * z = K(y,x) * ((y \ x) * z). K(x,y) * ((x \ y) * z) = (y * (x \ 1)) * z. x * y != (z * K(u,w)) * v5 | x \ (z * (K(u,w) * v5)) = y. ((x * K(y,z)) * u) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). a(x,y * K(z,u),w) = (x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w). (x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w) = a(x,y * K(z,u),w). a(x * K(y,z),u,w) = (x * (K(y,z) * (u * w))) \ (((x * K(y,z)) * u) * w). (x * (K(y,z) * (u * w))) \ (((x * K(y,z)) * u) * w) = a(x * K(y,z),u,w). (x \ 1) * y = (x \ K(z,u)) * (K(u,z) * y). (x \ K(y,z)) * (K(z,y) * u) = (x \ 1) * u. (x \ y) * z = (x \ T(y,u)) * (K(u,y) * z). (x \ T(y,z)) * (K(z,y) * u) = (x \ y) * u. (x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w). (K(x,y) * z) \ u = K(y,T(x,z)) * (z \ u). K(x,T(y,z)) * (z \ u) = (K(y,x) * z) \ u. x * a(y \ 1,z,u) = a(z,u,y) \ x. (x \ L(x,y,z)) \ u = u * a(z,y,x). a(x,y,((z * u) * w) \ (u * w)) = a(x,y,R(z,u,w) \ 1). x * (L(x,y,z) \ u) != w | (u / L(x,y,z)) * x = w. R(x,y,z) * u = ((x * u) / x) * R(x,y,z). ((x * y) / x) * R(x,z,u) = R(x,z,u) * y. a(T(x,y),z,u) != w | w = a(x,z,u). a(T(x,y),z,u) != w | a(x,z,u) = w. (x \ L(x,y,z)) * (u * (L(x,y,z) \ x)) = u. ((x \ y) * (z * u)) \ (K(x,w) * (((T(x,w) \ y) * z) * u)) = L(a(T(x,w) \ y,z,u),(T(x,w) \ y) * (z * u),K(x,w)). L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = ((x \ z) * (u * w)) \ (K(x,y) * (((T(x,y) \ z) * u) * w)). ((x \ y) * z) * u = K(x,w) * (((T(x,w) \ y) * z) * u). K(x,y) * (((T(x,y) \ z) * u) * w) = ((x \ z) * u) * w. x != (K(y,z) * u) \ w | x = u \ (K(z,y) * w). K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). L(x \ R(x,y,z),x,x \ (x * u)) = (x * u) \ (R(x,y,z) * u). x * y != (z \ L(z,u,w)) * (v5 * (L(z,u,w) \ z)) | x \ v5 = y. L(x,y,z) \ u = x \ (u * (L(x,y,z) \ x)). x \ (y * (L(x,z,u) \ x)) = L(x,z,u) \ y. x * (L(x,y,z) \ u) = u * (L(x,y,z) \ x). x * (L(y,z,u) \ y) = y * (L(y,z,u) \ x). x * a(y,z,u) = u * (L(u,z,y) \ x). x * (L(x,y,z) \ u) = u * a(z,y,x). L(x,y,z) \ (x * u) = u * a(z,y,x). L(x,y,z) \ u = (x \ u) * a(z,y,x). (x \ y) * a(z,u,x) = L(x,u,z) \ y. (x \ y) * a(z,u,x) != w | L(x,u,z) \ y = w. x * (y * a(z,u,x)) = (x * y) * a(z,u,x). (x * y) * a(z,u,x) = x * (y * a(z,u,x)). L(a(x,y,z),u,z) = a(x,y,z). x * (y * a(z,u,y)) = (x * y) * a(z,u,y). (x * y) * a(z,u,y) = x * (y * a(z,u,y)). (x * a(y,z,u)) * u = x * (a(y,z,u) * u). x != y * (z * a(u,w,v5)) | x = y * (a(u,w,v5) * z). (x * y) * a(z,u,y) = x * (a(z,u,y) * y). (x * a(y,z,u)) * u = x * L(u,y,z). (x * a(y,z,u)) * u = x * (z \ (y \ ((y * z) * u))). (L(x,y,z) \ u) * x = (x \ u) * L(x,z,y). x != y * (a(z,u,w) * w) | x = (y * a(z,u,w)) * w. (x * y) * a(z,u,y) = (x * a(z,u,y)) * y. (x * a(y,z,u)) * u = (x * u) * a(y,z,u). (L(x,y,z) \ u) * x = ((x \ u) * x) * a(z,y,x). ((x \ y) * x) * a(z,u,x) = (L(x,u,z) \ y) * x. (K(x,y) * z) / u != w | K(x,y) * (z / u) = w. (x \ (y / z)) * a(z,y \ 1,x) = (x \ y) / z. L(x,y \ 1,z) \ (y / z) = (x \ y) / z. L(L(x,y \ 1,z),u,w) \ (y / z) = (L(x,u,w) \ y) / z. a(x,y,(T(z / u,z) * w) \ v5) = a(x,y,v5 * (w \ (z \ u))). a(x,y,(T(z \ u,z) * w) \ v5) = a(x,y,v5 * (w \ T(u \ z,z))). L(a(x,y,z),(z \ u) * z,w) = (w * ((z \ u) * z)) \ (w * ((L(z,y,x) \ u) * z)). (x * ((y \ z) * y)) \ (x * ((L(y,u,w) \ z) * y)) = L(a(w,u,y),(y \ z) * y,x). (x / L(y,z,u)) * y = x * a(u,z,y). x * y != (z * y) * a(u,w,y) | x = z * a(u,w,y). (x * y) / L(y,z,u) = x * a(u,z,y). x / L(y,z,u) = (x / y) * a(u,z,y). (x / y) * a(z,u,y) = x / L(y,u,z). x != y * a(z,u,w) | x = (w \ L(w,u,z)) \ y. x / L(y,z,u) = (y \ L(y,z,u)) \ (x / y). (x \ L(x,y,z)) \ (u / x) = u / L(x,y,z). a(x,y,z) \ (u / z) = u / L(z,x,y). x * y != (z * a(u,w,v5)) * v5 | x \ (z * (w \ (u \ ((u * w) * v5)))) = y. (x * y) \ (x * (z \ (u \ ((u * z) * y)))) = a(u,z,y). (x * y) \ (x * (R(1 / y,z,u) \ 1)) = a(z,u,y). (x * (y * z)) \ ((x * y) * (R(1 / L(z,y,x),u,w) \ 1)) = a(u,w,L(z,y,x)). (K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w). a(x,y,(((z \ u) \ 1) * w) \ (((z \ 1) \ 1) * w)) = a(x,y,R(u \ 1,(z \ 1) \ 1,w) \ 1). L(L(x,y,z),u,w) \ (z / y) = (L(x,u,w) \ z) / y. x * y != L(L(z,u,w),v5,v6) \ (w / u) | x \ ((L(z,v5,v6) \ w) / u) = y. x \ ((L(y,x,z / u) \ z) / u) = (L(y,u,z) * x) \ (z / u). K(x,y) * (((z * u) * w) / (u * w)) = R(K(x,y) * z,u,w). K(x,y) * R(z,u,w) = R(K(x,y) * z,u,w). R(K(x,y) * z,u,w) = K(x,y) * R(z,u,w). x != K(y,T(z,u)) * R(u,w,v5) | x = R(u,w,v5) * K(y,z). R(K(x,T(y,z)) * z,u,w) = R(z,u,w) * K(x,y). R(x * K(y,z),u,w) = R(x,u,w) * K(y,z). R(x * K(y,z),u,w) * v5 = R(x,u,w) * (K(y,z) * v5). ((x * K(y,z)) * u) * w = R(x,u,w) * (K(y,z) * (u * w)). R(x,y,z) * (K(u,w) * (y * z)) = ((x * K(u,w)) * y) * z. R(x,y,z) * (K(u,w) * (y * z)) = (x * (K(u,w) * y)) * z. x \ ((L(y,x,z \ u) \ u) / z) = (L(y,z,u) * x) \ (u / z). L(x \ R(x,y,z),x,u) = (x * u) \ (R(x,y,z) * u). L(a(x,y,z),x,u) = (x * u) \ (R(x,y,z) * u). (x * y) \ (R(x,z,u) * y) = L(a(x,z,u),x,y). (x * y) \ (R(x,z,u) * y) = a(x,z,u). (x * y) * a(x,z,u) = R(x,z,u) * y. x / a(y,z,u) = y * (R(y,z,u) \ x). x * (R(x,y,z) \ u) = u / a(x,y,z). (x / y) * a(K(y,x) / y,z,u) = R(K(y,x) / y,z,u) * x. x != y / a(z,u,w) | x = a(z,u,w) \ y. x * (R(x,y,z) \ u) = a(x,y,z) \ u. x * ((x \ (y / z)) * z) = a(x,x \ (y / z),z) \ y. a(x,x \ (y / z),z) \ y = x * ((x \ (y / z)) * z). (x * ((x \ (y / z)) * z)) \ y != u | a(x,x \ (y / z),z) = u. (x / y) * a(y \ K(y,x),z,u) = R(K(y,x) / y,z,u) * x. (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). x * (K(y,z) * (u * w)) != (v5 * (K(y,z) * u)) * w | x = R(v5,u,w). R(x,K(y,z) * u,w) = R(x,u,w). R(x,y / z,u) = R(x,z \ y,u). R(x,y / z,u) = R(x,(1 / z) * y,u). R(x,(1 / y) * z,u) = R(x,z / y,u). x != R(y,z / u,w) | x = R(y,u \ z,w). R(x,(1 / y) * z,u) = R(x,y \ z,u). R(x,1 / y,z) = R(x,(u * y) \ u,z). R(x,(y * z) \ y,u) = R(x,1 / z,u). R(x,(y * z) \ y,u) = R(x,z \ 1,u). R(x,y \ z,u) = R(x,(z \ y) \ 1,u). R(x,(y \ z) \ 1,u) = R(x,z \ y,u). (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). L(x,y,K(z,u) * w) = L(x,y,w). L(x,y,K(z,u) * w) != v5 | v5 = L(x,y,w). L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5. L(x,y,z * K(u,w)) = L(x,y,z). L(x,y,z * T(u,w)) = L(x,y,z * u). L(x,y,T(z,u) * w) = L(x,y,z * w). L(x,y,(z / u) * w) = L(x,y,(u \ z) * w). L(x,y,z * u) = L(x,y,z * (K(w,v5) * u)). L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5). L(x,y,(z * u) \ w) = L(x,y,(u * z) \ w). L(x,y,(T(z,u) * w) * v5) = L(x,y,(z * w) * v5). L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). L(x,y,z / u) = L(x,y,z / T(u,w)). L(x,y,z / T(u,w)) = L(x,y,z / u). L(x,y,z \ (u * w)) = L(x,y,z \ (w * u)). L(x,y,z * T(u,w)) != v5 | L(x,y,u * z) = v5. L(x,y,((1 / z) * u) * w) = L(x,y,(u / z) * w). x != L(y,z,u / w) | x = L(y,z,(w \ 1) * u). L(x,y,z / u) = L(x,y,(T(u,w) \ 1) * z). L(x,y,(T(z,u) \ 1) * w) = L(x,y,w / z). L(x,y,z / u) != w | L(x,y,u \ z) = w. L(x,y,(z * u) \ w) != v5 | L(x,y,(u * z) \ w) = v5. L(x,y,(z * (u \ 1)) * w) != v5 | L(x,y,(u \ z) * w) = v5. L(x,y,(z \ 1) * u) = L(x,y,(z \ K(w,v5)) * u). L(x,y,(z \ K(u,w)) * v5) = L(x,y,(z \ 1) * v5). L(x,y,(z \ u) * w) = L(x,y,(z \ T(u,v5)) * w). L(x,y,(z \ T(u,w)) * v5) = L(x,y,(z \ u) * v5). L(x,y,z / (u * w)) = L(x,y,(w * u) \ z). L(x,y,z \ (u / w)) = L(x,y,z \ (w \ u)). L(x,y,z \ (u * (w \ 1))) = L(x,y,z \ (w \ u)). L(x,y,z \ (u / w)) = L(x,y,z \ ((1 / w) * u)). L(x,y,z \ ((1 / u) * w)) = L(x,y,z \ (w / u)). L(x,y,(z * u) \ w) = L(x,y,(T(z,v5) * u) \ w). L(x,y,(T(z,u) * w) \ v5) = L(x,y,(z * w) \ v5). L(x,y,L(z,u,w)) = L(x,y,(w * u) \ ((u * z) * w)). L(x,y,(z * u) \ ((u * w) * z)) = L(x,y,L(w,u,z)). L(x,y,(z \ (u \ z)) * w) = L(x,y,w / u). L(x,y,R(z,u,w)) = L(x,y,(w * u) \ ((z * u) * w)). L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,R(w,u,z)). L(x,y,z \ ((1 / u) * w)) = L(x,y,z \ ((w \ u) \ 1)). L(x,y,z \ ((u \ w) \ 1)) = L(x,y,z \ ((1 / w) * u)). L(x,y,R(z,u,w \ 1)) = L(x,y,(w / (z * u)) \ (u \ w)). L(x,y,(z / (u * w)) \ (w \ z)) = L(x,y,R(u,w,z \ 1)). x != L(y,z,u / w) | x = L(y,z,w \ u). L(x,y,(z \ (u \ z)) * w) = L(x,y,u \ w). L(x,y,(z \ (u \ z)) * w) != v5 | L(x,y,u \ w) = v5. L(x,y,(z \ u) * w) = L(x,y,(z / u) \ w). L(x,y,(z / u) \ w) = L(x,y,(z \ u) * w). L(x,y,(((1 / z) * u) * w) * v5) = L(x,y,((u / z) * w) * v5). x != L(y,z,(u / w) * v5) | x = L(y,z,(w \ u) * v5). L(x,y,((1 / z) * u) * w) = L(x,y,(z \ u) * w). L(x,y,(z \ K(u,w)) * v5) = L(x,y,z \ v5). L(x,y,(z * (u \ 1)) * w) = L(x,y,(z \ u) \ w). L(x,y,(z \ (u \ w)) * v5) = L(x,y,(z \ (w / u)) * v5). L(x,y,(z \ (u / w)) * v5) = L(x,y,(z \ (w \ u)) * v5). L(x,y,(z \ (u * w)) * v5) = L(x,y,(z \ ((1 / w) \ u)) * v5). L(x,y,(z \ ((1 / u) \ w)) * v5) = L(x,y,(z \ (w * u)) * v5). x != L(y,z,u \ (w * v5)) | x = L(y,z,u \ (v5 * w)). L(x,y,z \ (u \ w)) = L(x,y,z \ ((u \ 1) * w)). L(x,y,z \ ((u \ 1) * w)) = L(x,y,z \ (u \ w)). x != L(y,z,u \ (w / v5)) | x = L(y,z,u \ (v5 \ w)). L(x,y,z \ ((1 / u) * w)) = L(x,y,z \ (u \ w)). x != L(y,z,(u * w) \ v5) | x = L(y,z,(w * u) \ v5). L(x,y,(z * u) \ w) = L(x,y,(u * T(z,v5)) \ w). L(x,y,(z * T(u,w)) \ v5) = L(x,y,(u * z) \ v5). L(x,y,L(z,u,w \ 1)) = L(x,y,((w \ 1) * u) \ (w \ (u * z))). L(x,y,((z \ 1) * u) \ (z \ (u * w))) = L(x,y,L(w,u,z \ 1)). x != L(y,z,(u * w) \ v5) | x = L(y,z,(T(u,v6) * w) \ v5). L(x,y,(z * T(u,w)) \ v5) = L(x,y,(T(u,v6) * z) \ v5). L(x,y,(T(z,u) * w) \ v5) = L(x,y,(w * T(z,v6)) \ v5). L(x,y,(z * (1 / (u * w))) \ ((1 / w) * z)) = L(x,y,L(u,1 / (u * w),z)). L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w * (1 / (z * u))) \ ((1 / u) * w)). L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,L(w,u,z)). x != L(y,z,(u * w) \ ((v5 * w) * u)) | x = L(y,z,R(v5,w,u)). L(x,y,L(z,u,w)) = L(x,y,R(z,u,w)). L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). L(x,y,L(z,u,w \ 1)) = L(x,y,L(z,w,u)). L(x,y,L(z,u \ 1,w)) = L(x,y,L(z,w,u)). x != L(y,z,u \ ((1 / w) * v5)) | x = L(y,z,u \ (w \ v5)). L(x,y,z \ ((u \ w) \ 1)) = L(x,y,z \ (w \ u)). L(x,y,(((1 / z) * u) * w) \ v5) = L(x,y,(w * T(u / z,v6)) \ v5). L(x,y,(z \ u) * w) = L(x,y,(u \ z) \ w). L(x,y,(z \ u) \ w) = L(x,y,(u \ z) * w). L(x,y,z \ u) = L(x,y,((w * z) \ w) * u). L(x,y,((z * u) \ z) * w) = L(x,y,u \ w). L(x,y,L(z \ 1,z,u) * w) = L(x,y,z \ w). x != L(y,z,(u / w) \ v5) | x = L(y,z,(u \ w) * v5). L(x,y,R(z,u,w \ 1)) = L(x,y,(w \ (z * u)) * (u \ w)). L(x,y,(z \ (u * w)) * (w \ z)) = L(x,y,R(u,w,z \ 1)). x != L(y,z,R(u,w,v5)) | x = L(y,z,L(u,w,v5)). L(x,y,(z \ (u * w)) * (w \ z)) = L(x,y,L(u,w,z \ 1)). L(x,y,z \ (u * (w * z))) = L(x,y,((u / z) * w) * z). L(x,y,z * ((u * z) \ ((1 / w) \ 1))) = L(x,y,(u \ (z * w)) * (z \ 1)). x != L(y,z,(((1 / u) * w) * v5) \ v6) | x = L(y,z,(v5 \ (w \ u)) * v6). L(x,y,(z * T(u / w,v5)) \ v6) = L(x,y,(z \ (u \ w)) * v6). L(x,y,(z * (u / w)) \ v5) = L(x,y,(z \ (u \ w)) * v5). L(x,y,(z * (u \ w)) \ v5) = L(x,y,(z \ (w \ u)) * v5). L(x,y,((z \ u) * w) \ v5) = L(x,y,(w \ (u \ z)) * v5). x != L(y,z,((u \ 1) * w) \ (u \ (w * v5))) | x = L(y,z,L(v5,w,u \ 1)). L(x,y,(z \ (1 \ u)) * (u \ (z * w))) = L(x,y,L(w,z,u \ 1)). L(x,y,(z \ u) * (u \ (z * w))) = L(x,y,L(w,z,u \ 1)). L(x,y,(z \ (u * w)) * (u \ z)) = L(x,y,L(w,u,z \ 1)). x != L(y,z,((u * w) \ u) * v5) | x = L(y,z,w \ v5). L(x,y,L(z,u * w,u \ 1)) = L(x,y,w \ (u \ ((u * w) * z))). L(x,y,z \ (u \ ((u * z) * w))) = L(x,y,L(w,u * z,u \ 1)). L(x,y,L(z,u,((u * z) * w) \ 1)) = L(x,y,w \ (u \ ((u * z) * w))). L(x,y,(z \ u) * ((u / w) \ z)) = L(x,y,L(w,u / w,z \ 1)). L(x,y,L(z,u / z,w \ 1)) = L(x,y,(w \ u) * ((u / z) \ w)). L(x,y,((z * u) \ (u * w)) * T(z,u)) = L(x,y,L(w,u,(z * u) \ 1)). L(x,y,z * a(u,w,z)) = L(x,y,L(z,u * w,u \ 1)). L(x,y,L(z,u * w,u \ 1)) = L(x,y,z * a(u,w,z)). L(L(x,y,K(z,u)),K(z,u) * y,w) = L(x,y,w * K(z,u)). L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). x != L(y,z,u * K(w,v5)) | x = L(y,z,u). L(x,K(y,z) * u,w) = L(x,u,w). x != L(y,K(z,u) * w,v5) | x = L(y,w * K(z,u),v5). L(x,y,z) = L(x,y * K(u,w),z). L(x,y * K(z,u),w) = L(x,y,w). L(x,(y \ z) * y,u) = L(x,z,u). L(x,y * z,u) = L(x,z * y,u). L(x,y * T(z,u),w) = L(x,y * z,w). L(x,y \ z,u) = L(x,T(y,w) \ z,u). L(x,T(y,z) \ u,w) = L(x,y \ u,w). L(x,(y / z) \ u,w) = L(x,(z \ y) \ u,w). L(x,(y / z) * u,w) = L(x,(z \ y) * u,w). L(x,y * (z * K(u,w)),v5) = L(x,y * z,v5). x != L(y,z * (u \ 1),w) | x = L(y,u \ z,w). L(x,(y \ 1) * z,u) = L(x,y \ z,u). L(x,y * (z * u),w) = L(x,y * ((1 / u) \ z),w). L(x,y * ((1 / z) \ u),w) = L(x,y * (u * z),w). L(x,(y \ 1) \ z,u) = L(x,z * y,u). L(x,((1 / y) * z) \ u,w) = L(x,(z / y) \ u,w). L(x,(y \ z) \ u,w) = L(x,u * ((1 / z) * y),w). L(x,y * ((1 / z) * u),w) = L(x,(u \ z) \ y,w). x != L(y,(z \ 1) * u,w) | x = L(y,z \ u,w). L(x,(1 / y) * z,u) = L(x,y \ z,u). L(x,(y / z) * (u \ 1),w) = L(x,u \ (z \ y),w). L(x,y * (z \ T(u,w)),v5) = L(x,y * (z \ u),v5). x != L(y,z * (u \ (w \ 1)),v5) | x = L(y,(w * u) \ z,v5). L(x,y * ((z \ 1) * u),w) = L(x,(z * (1 / u)) \ y,w). L(x,(y * (1 / z)) \ u,w) = L(x,u * ((y \ 1) * z),w). x != L(y,(z / u) \ w,v5) | x = L(y,(u \ z) \ w,v5). L(x,((1 / y) * z) \ u,w) = L(x,(y \ z) \ u,w). x != L(y,((1 / z) * u) \ w,v5) | x = L(y,w * (u \ z),v5). L(x,(y \ z) \ u,w) = L(x,u * (z \ y),w). x != L(y,z * u,w) | x = L(y,u * z,w). L(x,(y \ z) \ u,w) = L(x,(z \ y) * u,w). L(x,(T(y,z) * (1 / z)) \ u,w) = L(x,u * (y \ T(z,z \ 1)),w). x != L(y,(z \ u) \ w,v5) | x = L(y,w * ((1 / u) * z),v5). L(x,(y \ z) * u,w) = L(x,u * ((1 / y) * z),w). L(x,y * ((1 / z) * u),w) = L(x,(z \ u) * y,w). L(x,y * (z * u),w) = L(x,((z \ 1) \ u) * y,w). L(x,((y \ 1) \ z) * u,w) = L(x,u * (y * z),w). L(x,y * (z * u),w) = L(x,y * ((z \ 1) \ u),w). L(x,y * ((z \ 1) \ u),w) = L(x,y * (z * u),w). x != L(y,(z * (1 / u)) \ w,v5) | x = L(y,w * ((z \ 1) * u),v5). L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * ((T(z,u) \ 1) * u),w). L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * T((z \ 1) * u,u),w). x != L(y,z * T(u,w),v5) | x = L(y,z * u,v5). L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * ((z \ 1) * u),w). x != L(y,z * (u \ T(w,v5)),v6) | x = L(y,z * (u \ w),v6). L(x,y * ((z \ 1) * u),w) = L(x,y * (z \ u),w). L(x,y,L(z,u,w \ ((u * z) \ 1))) = L(x,y,w \ (u \ ((u * z) * w))). L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,(z * u) \ 1)). L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,u \ (z \ 1))). L(x,y,((z * u) \ (u * w)) * z) = L(x,y,L(w,u,u \ (z \ 1))). L(x,y,L(z,u,u \ (w \ 1))) != v5 | L(x,y,w * ((w * u) \ (u * z))) = v5. L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,w \ (u \ ((u * z) * w))). x != L(y,z,u \ (w \ v5)) | x = L(y,z,u \ ((1 / w) * v5)). L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,w \ ((1 / u) * ((u * z) * w))). L(x,y,z * ((u * z) \ w)) = L(x,y,(u \ (z * w)) * (z \ 1)). L(x,y,(z \ (u * w)) * (u \ 1)) = L(x,y,u * ((z * u) \ w)). L(x,y,z \ (u \ (z * w))) = L(x,y,z * ((u * z) \ w)). (x * (y * (K(z,u) * w))) \ ((x * y) * (K(z,u) * w)) = a(x,y * K(z,u),w). (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x * K(y,z),u,w). L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w * (1 / (z * u))) \ (u \ w)). x != L(y,z,(u * (w / v5)) \ v6) | x = L(y,z,(u \ (w \ v5)) * v6). L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w \ (1 \ (z * u))) * (u \ w)). L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w \ (z * u)) * (u \ w)). x != L(y,z,(u \ (w * v5)) * (v5 \ u)) | x = L(y,z,L(w,v5,u \ 1)). L(x,y,L(z,1 / (z * u),w)) = L(x,y,L(z,u,w \ 1)). L(x,y,L(z,(z * u) \ 1,w)) = L(x,y,L(z,u,w \ 1)). L(x,y,L(z,u \ 1,w)) = L(x,y,L(z,z \ u,w \ 1)). L(x,y,L(z,z \ u,w \ 1)) = L(x,y,L(z,u \ 1,w)). L(x,y,L(z,u \ (z \ 1),w)) = L(x,y,L(z,u,w \ 1)). L(x,y,L(z,z \ u,w)) = L(x,y,L(z,u \ 1,w \ 1)). L(x,y,L(z,u \ 1,w \ 1)) = L(x,y,L(z,z \ u,w)). L(x,y,L(z,u / z,w \ 1)) = L(x,y,L(z,u \ 1,w)). x != L(y,z,L(u,w,v5 \ 1)) | x = L(y,z,L(u,v5,w)). L(x,y,L(z,z \ u,w)) = L(x,y,L(z,w,u \ 1)). L(x,y,L(z,u,w \ 1)) = L(x,y,L(z,z \ (u \ 1),w)). L(x,y,L(z,z \ (u \ 1),w)) = L(x,y,L(z,u,w \ 1)). L(x,y,L(z,z \ u,w)) = L(x,y,L(z,u,w)). x != L(y,z,L(u,w / u,v5 \ 1)) | x = L(y,z,(v5 \ w) * ((w / u) \ v5)). L(x,y,L(z,u \ 1,w)) = L(x,y,(w \ u) * ((u / z) \ w)). L(x,y,(z \ u) * ((u / w) \ z)) = L(x,y,L(w,u \ 1,z)). L(x,y,L(z,z \ (u \ (w \ 1)),v5)) = L(x,y,L(z,w * u,v5 \ 1)). L(x,y,(z \ (z / u)) * (z \ ((z * w) * u))) = L(x,y,L(w,(z / u) \ 1,z)). x != L(y,z,u \ (w * (v5 * u))) | x = L(y,z,((w / u) * v5) * u). L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,(((1 / u) / w) * (u * z)) * w). a(x,y,K(z,u) * w) = a(x,y * K(z,u),w). a(x,y * K(z,u),w) = a(x,y,K(z,u) * w). a(x,T(y,K(z,u)),w) = a(x,K(u,z) * y,K(z,u) * w). a(x,K(y,z) * u,K(z,y) * w) = a(x,T(u,K(z,y)),w). x != L(y,z,(u \ (w / v5)) * v6) | x = L(y,z,(u \ (v5 \ w)) * v6). L(x,y,L(z,(u / w) \ 1,u)) = L(x,y,(u \ (w \ u)) * (u \ ((u * z) * w))). L(x,y,(z \ (u \ z)) * (z \ ((z * w) * u))) = L(x,y,L(w,(z / u) \ 1,z)). L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,((1 / (w * u)) * (u * z)) * w). L(x,y,z \ (u \ ((u * w) * z))) = L(x,y,L(w,(u / z) \ 1,u)). L(x,y,z \ (u \ ((u * w) * z))) = L(x,y,L(w,u \ z,u)). x != L(y,z,u \ (w \ ((w * v5) * u))) | x = L(y,z,L(v5,w,u \ (v5 \ (w \ 1)))). L(x,y,L(z,u \ w,u)) = L(x,y,L(z,u,w \ (z \ (u \ 1)))). L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,L(z,u \ w,u)). x != L(y,z,((1 / u) * w) * v5) | x = L(y,z,(u \ w) * v5). L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,((w * u) \ (u * z)) * w). x != L(y,z,((u * w) \ (w * v5)) * u) | x = L(y,z,L(v5,w,w \ (u \ 1))). L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,L(z,u,u \ (w \ 1))). x != L(y,z,L(u,w,v5 \ (u \ (w \ 1)))) | x = L(y,z,L(u,w \ v5,w)). L(x,y,L(z,u,u \ (w \ 1))) = L(x,y,L(z,u \ w,u)). L(x,y,L(z,u,u \ (w \ v5))) = L(x,y,L(z,u \ (v5 \ w),u)). L(x,y,L(z,u \ (w \ v5),u)) = L(x,y,L(z,u,u \ (v5 \ w))). L(x,y,L(z,u \ w,u)) != v5 | L(x,y,w * ((w * u) \ (u * z))) = v5. L(x,y,L(z,(1 / u) * (w \ v5),u)) = L(x,y,L(z,u,u \ (v5 \ w))). L(x,y,L(z,(1 / u) * (w \ 1),u)) = L(x,y,L(z,u,u \ w)). L(x,y,L(z,u \ (w \ 1),w)) = L(x,y,L(z,w,w \ u)). x != L(y,z,L(u,w,v5 \ 1)) | x = L(y,z,L(u,w \ (u \ 1),v5)). L(x,y,L(z,u \ 1,(u \ 1) \ w)) = L(x,y,L(z,(w \ ((u \ 1) \ 1)) \ (z \ 1),u)). L(x,y,L(z,(u \ ((w \ 1) \ 1)) \ (z \ 1),w)) = L(x,y,L(z,w \ 1,(w \ 1) \ u)). (x * (y * z)) \ ((x * y) * R(L(z,y,x),u,w)) = a(u,w,L(z,y,x)). (x * (y * z)) \ (x * (y * R(z,u,w))) = a(u,w,L(z,y,x)). (x * (y * z)) \ (x * (y * L(z,u,w))) = a(u,w,L(z,y,x)). x != L(y,(z \ u) * z,w) | x = L(y,u,w). (x * ((y \ z) * y)) \ (x * ((L(y,u,w) \ z) * y)) = L(a(w,u,y),z,x). (x * ((y \ z) * y)) \ (x * ((y \ z) * L(y,u,w))) = L(a(u,w,y),z,x). x != (y * (z * u)) \ (y * (z * L(u,w,v5))) | x = a(w,v5,L(u,z,y)). L(a(x,y,z),u,w) = a(x,y,L(z,z \ u,w)). a(x,y,L(z,z \ u,w)) = L(a(x,y,z),u,w). a(x * K(y,z),u,w) != v5 | a(x,K(y,z) * u,w) = v5. L(x,y,L(z,(z \ 1) * (((u \ 1) \ 1) \ w),u)) = L(x,y,L(z,u \ 1,(u \ 1) \ w)). L(x,y,L(z,(z \ 1) * ((u \ 1) * w),u)) = L(x,y,L(z,u \ 1,(u \ 1) \ w)). L(x,y,L(z,(z \ 1) * (u \ w),u)) = L(x,y,L(z,u \ 1,(u \ 1) \ w)). L(x,y,L(z,u \ 1,(u \ 1) \ w)) = L(x,y,L(z,(z \ 1) * (u \ w),u)). L(x,y,L(z,u \ 1,(u \ 1) \ w)) = L(x,y,L(z,z \ (u \ w),u)). L(x,y,L(z,u \ 1,u * w)) = L(x,y,L(z,z \ (u \ w),u)). x != L(y,z,L(u,u \ (w \ (v5 \ 1)),v6)) | x = L(y,z,L(u,v5 * w,v6 \ 1)). L(x,y,L(z,u \ 1,u * (w \ 1))) = L(x,y,L(z,w * u,u \ 1)). x != L(y,z,L(u,w \ 1,v5)) | x = L(y,z,L(u,v5,w)). L(x,y,L(z,z \ (u \ w),u)) = L(x,y,L(z,u * w,u)). x != L(y,z,L(u,u \ w,v5)) | x = L(y,z,L(u,w,v5)). L(x,y,L(z,u * w,u)) = L(x,y,L(z,u \ w,u)). L(x,y,L(z,u \ w,u)) = L(x,y,L(z,u * w,u)). L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u * z,u)). L(x,y,L(z,u \ 1,w \ u)) = L(x,y,L(z,w * u,u \ 1)). L(x,y,L(z,u * w,w \ 1)) = L(x,y,L(z,u \ w,w)). L(x,y,L(z,u \ w,w)) = L(x,y,L(z,w,u * w)). L(x,y,L(z,u * w,u \ 1)) = L(x,y,L(z,w \ u,u)). L(x,y,L(z,u,w)) = L(x,y,L(z,w,(u \ w) * w)). L(x,y,L(z,u,(w \ u) * u)) = L(x,y,L(z,w,u)). L(x,y,L(z,u,w \ u)) = L(x,y,L(z,u * w,u)). L(x,y,L(z,u * w,u)) = L(x,y,L(z,u,w \ u)). x != L(y,z,L(u,w * v5,w)) | x = L(y,z,v5 * ((v5 * w) \ (w * u))). L(x,y,L(z,u,w \ u)) = L(x,y,w * ((w * u) \ (u * z))). L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,z \ u)). x != L(y,z,L(u,w * v5,w \ 1)) | x = L(y,z,u * a(w,v5,u)). L(x,y,L(z,u \ w,w)) = L(x,y,z * a(w,u,z)). x != L(y,z,L(u,w \ v5,v5)) | x = L(y,z,L(u,v5,w * v5)). L(x,y,z * a(u,w,z)) = L(x,y,L(z,u,w * u)). L(x,y,L(z,u,w * u)) = L(x,y,z * a(u,w,z)). L(x,y,L(z,u,w * u)) = L(x,y,L(z,u,w)). x != L(y,z,L(u,w,(v5 \ w) * w)) | x = L(y,z,L(u,v5,w)). L(x,y,L(z,u,w \ u)) = L(x,y,L(z,w,u)). x != L(y,z,L(u,w,v5 \ w)) | x = L(y,z,L(u,v5,w)). L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,z,u)). L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = ((x \ z) * (u * w)) \ (((x \ z) * u) * w). L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = a(x \ z,u,w). a(x \ y,z,u) = a(T(x,w) \ y,z,u). a(T(x,y) \ z,u,w) = a(x \ z,u,w). a(T(x,T(y,z)),u,w) = a(y \ (x * T(y,z)),u,w). a(x \ (y * T(x,z)),u,w) = a(T(y,T(x,z)),u,w). x != a(T(y,z),u,w) | x = a(y,u,w). a(x \ (y * T(x,z)),u,w) = a(y,u,w). a(T(x * K(y,z),y),u,w) = a(x,u,w). a(x * K(y,z),u,w) = a(x,u,w). a(x,K(y,z) * u,w) = a(x,u,w). a(x \ 1,y,z) = a(x \ K(u,w),y,z). a(x \ K(y,z),u,w) = a(x \ 1,u,w). a(x,K(y,z) * u,w) = a(T(x,v5),u,w). a(T(x,y),z,u) = a(x,K(w,v5) * z,u). x != a(y,K(z,u) * w,K(u,z) * v5) | x = a(y,T(w,K(u,z)),v5). a(x,y,K(z,u) * w) = a(x,T(y,K(z,u)),w). a(x,T(y,K(z,u)),w) = a(x,y,K(z,u) * w). a(x,((y \ z) \ z) * u,w) = a(x,y * u,w). (x / y) * a(y \ 1,z,u) = R(K(y,x) / y,z,u) * x. R(K(x,y) / x,z,u) * y = (y / x) * a(x \ 1,z,u). a(x,K(y,z) * u,w) != v5 | a(x,u,w) = v5. a(x,T(y,z),u) != w | a(x,y,u) = w. a(x,y / z,u) != w | a(x,z \ y,u) = w. a(x,y,z) = a(x,y,K(u,w) * z). a(x,y,K(z,u) * w) = a(x,y,w). a(x,y,K(z,u) * w) != v5 | a(x,y,w) = v5. a(x,y,z \ u) = a(x,y,T(z,w) \ u). a(x,y,T(z,u) \ w) = a(x,y,z \ w). a(x,y,z * K(u,w)) = a(x,y,z). a(x,y,z \ u) = a(x,y,z \ T(u,w)). a(x,y,z \ T(u,w)) = a(x,y,z \ u). a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). a(x,y,z * (u * w)) = a(x,y,z * (w * u)). a(x,y,z * (u * K(w,v5))) = a(x,y,z * u). a(x,y,((1 / z) * u) \ w) = a(x,y,(u / z) \ w). a(x,y,z \ (u \ w)) = a(x,y,z \ (w / u)). a(x,y,z \ (u / w)) = a(x,y,z \ (w \ u)). a(x,y,z \ (u * w)) = a(x,y,z \ ((1 / w) \ u)). a(x,y,z \ ((1 / u) \ w)) = a(x,y,z \ (w * u)). a(x,y,z \ (u / (u * (1 / w)))) = a(x,y,z \ w). a(x,y,z * u) != w | a(x,y,u * z) = w. a(x,y,(z \ u) \ u) != w | a(x,y,z) = w. a(x,y,T(z,u) \ w) != v5 | a(x,y,z \ w) = v5. a(x,y,(z * u) \ w) != v5 | a(x,y,(u * z) \ w) = v5. a(x,y,(z * (u \ 1)) * w) != v5 | a(x,y,(u \ z) * w) = v5. a(x,y,((z \ u) * w) \ (u * w)) != v5 | a(x,y,R(z,z \ u,w)) = v5. a(x,(y \ 1) \ z,u) = a(x,y * z,u). a(x,y,z) = a(x,u * ((u \ 1) * y),z). a(x,y * ((y \ 1) * z),u) = a(x,z,u). a(x,(y * z) \ y,u) = a(x,z \ 1,u). a(x,L(y \ 1,y,z),u) = a(x,y \ 1,u). x \ (a(x,y \ 1,(x * L(y \ 1,y,z)) \ u) \ u) = L(y \ 1,z,y) * ((x * L(y \ 1,y,z)) \ u). a(x,y,z \ ((u / w) * v5)) = a(x,y,z \ ((w \ u) * v5)). a(x,y,(z * u) \ w) = a(x,y,(T(z,v5) * u) \ w). a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5). a(x,y,(z * u) * w) = a(x,y,w * (u * z)). a(x,y,z * (u \ T(w,v5))) = a(x,y,z * (u \ w)). a(x,y,((1 / z) \ u) \ w) != v5 | a(x,y,(u * z) \ w) = v5. x != a(y,z,((1 / u) * w) \ v5) | x = a(y,z,v5 * (w \ u)). a(x,y,(z / u) \ w) = a(x,y,w * (z \ u)). a(x,y,((1 / z) / u) \ w) = a(x,y,w * (1 \ (u * z))). a(x,y,R(z,u \ 1,1 / w)) = a(x,y,((1 / w) \ (u / z)) \ (u * w)). a(x,y,((1 / z) \ (u / w)) \ (u * z)) = a(x,y,R(w,u \ 1,1 / z)). x != a(y,z,u \ (w / v5)) | x = a(y,z,u \ (v5 \ w)). a(x,y,z \ u) = a(x,y,z \ ((w * (1 / u)) \ w)). a(x,y,z \ ((u * (1 / w)) \ u)) = a(x,y,z \ w). x != a(y,z,(T(u / w,u) * v5) \ v6) | x = a(y,z,v6 * (v5 \ (u \ w))). a(x,y,((z / u) * w) \ v5) = a(x,y,v5 * (w \ (z \ u))). x != a(y,z,u * (w \ T(v5 \ v6,v6))) | x = a(y,z,(T(v6 \ v5,v6) * w) \ u). a(x,y,z * (u \ (w \ v5))) = a(x,y,(T(v5 \ w,v5) * u) \ z). a(x,y,(T(z \ u,z) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). a(x,y,z \ ((u \ 1) \ w)) = a(x,y,z \ (u * w)). a(x,y,z \ (u \ w)) = a(x,y,z \ ((1 / u) * w)). a(x,y,z \ ((1 / u) * w)) = a(x,y,z \ (u \ w)). x != y * a(z \ 1,u,w) | x = a(u,w,z) \ y. R(K(x,y) / x,z,u) * y = a(z,u,x) \ (y / x). L(K(x,y) / x,z,u) * y = a(z,u,x) \ (y / x). x != a(y,z,u) \ (w / u) | x = w / L(u,y,z). L(K(x,y) / x,z,u) * y = y / L(x,z,u). x != a(y,z,u \ ((1 / w) * v5)) | x = a(y,z,u \ (w \ v5)). a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (u \ w)). x != a(y,z,(((u \ w) \ 1) * v5) \ (((u \ 1) \ 1) * v5)) | x = a(y,z,R(w \ 1,(u \ 1) \ 1,v5) \ 1). a(x,y,(((z \ u) \ 1) * w) \ ((z \ 1) \ w)) = a(x,y,R(u \ 1,(z \ 1) \ 1,w) \ 1). a(x,y,((1 / z) / u) \ w) = a(x,y,w * (u * z)). x != a(y,z,(u / w) \ v5) | x = a(y,z,v5 * (u \ w)). a(x,y,z * (u * w)) = a(x,y,z * ((1 / w) \ u)). a(x,y,z * ((1 / u) \ w)) = a(x,y,z * (w * u)). x != a(y,z,u * (w \ (v5 \ 1))) | x = a(y,z,(v5 * w) \ u). a(x,y,z * ((u \ 1) * w)) = a(x,y,(u * (1 / w)) \ z). a(x,y,(z * (1 / u)) \ w) = a(x,y,w * ((z \ 1) * u)). x != a(y,1 / z,(y * (1 / z)) \ u) | x = (y * ((y \ (u / z)) * z)) \ u. a(x,1 / y,z * ((x \ 1) * y)) = (x * ((x \ (z / y)) * y)) \ z. a(x,y,z * ((u \ 1) * w)) != v5 | a(x,y,(u \ w) * z) = v5. x != a(y,z,(T(u,w) * v5) \ v6) | x = a(y,z,(u * v5) \ v6). a(x,y,z * (u \ (w \ v5))) = a(x,y,((v5 \ w) * u) \ z). a(x,y,((z \ u) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). a(x,y,(z * (u \ w)) \ v5) = a(x,y,v5 * (z \ (w \ u))). a(x,y,(z * L(u \ 1,u,w)) \ v5) = a(x,y,v5 * (z \ (w \ (w * u)))). a(x,y \ 1,z * ((x \ 1) * y)) = (x * ((x \ (z / y)) * y)) \ z. a(x,y \ 1,(x \ y) * z) = (x * ((x \ (z / y)) * y)) \ z. (x * ((x \ (y / z)) * z)) \ y = a(x,z \ 1,(x \ z) * y). a(x,x \ (y / z),z) = a(x,z \ 1,(x \ z) * y). a(x,y \ 1,(x \ y) * z) = a(x,x \ (z / y),y). a(x,y \ 1,z * (x \ y)) = a(x,x \ (z / y),y). a(x,y,(z * u) * (u \ (z \ w))) != v5 | a(x,y,R(w,w \ z,u)) = v5. a(x,y,((1 / z) \ (u / w)) \ (u * z)) = a(x,y,R(w,u \ 1,z \ 1)). a(x,y,(z * L(u \ 1,u,w)) \ v5) = a(x,y,v5 * (z \ u)). a(x,y,((z / u) * w) \ (z * w)) = a(x,y,R(u,z \ 1,w \ 1)). x != a(y,z,((u / w) * v5) \ v6) | x = a(y,z,v6 * (v5 \ (u \ w))). a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,(u * w) * (w \ (u \ z))). a(x,y,(z * u) * (u \ (z \ w))) = a(x,y,R(w,z \ 1,u \ 1)). a(x,y,R(z,z \ u,w)) = a(x,y,R(z,u \ 1,w \ 1)). a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,R(z,z \ u,w)). a(x,y,R(z,u \ w,v5 \ 1)) = a(x,y,R(z,z \ (w \ u),v5)). a(x,y,L(z,u \ w,v5 \ 1)) = a(x,y,R(z,z \ (w \ u),v5)). a(x,y,R(z,z \ (u \ w),v5)) = a(x,y,L(z,w \ u,v5 \ 1)). a(x,y,L(z,z \ (u \ w),v5)) = a(x,y,L(z,w \ u,v5 \ 1)). a(x,y,L(z,u \ w,v5 \ 1)) = a(x,y,L(z,z \ (w \ u),v5)). a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z,z \ u,w)). x != a(y,z,u \ ((w \ 1) \ v5)) | x = a(y,z,u \ (w * v5)). a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(((u \ z) \ 1) * w) \ (u * w)). x != a(y,z,((u \ w) * v5) \ v6) | x = a(y,z,v6 * (v5 \ (w \ u))). a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(u * w) * (w \ (1 \ (u \ z)))). a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(u * w) * (w \ (u \ z))). x != a(y,z,(u * w) * (w \ (u \ v5))) | x = a(y,z,R(v5,u \ 1,w \ 1)). a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,R(z,u \ 1,w \ 1)). a(x,y,R(z \ 1,u,w) \ 1) = a(x,y,R(z,u \ 1,w \ 1)). a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,R(z \ 1,u,w) \ 1). a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,L(z \ 1,u,w) \ 1). a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z \ 1,u,w) \ 1). x != a(y,z,L(u \ 1,w,v5) \ 1) | x = a(y,z,L(u,w,v5)). a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z,u,w)). x != a(y,z,L(u,w \ 1,v5 \ 1)) | x = a(y,z,L(u,u \ w,v5)). a(x,y,L(z,u,w)) = a(x,y,L(z,z \ u,w)). a(x,y,L(z,z \ u,w)) = a(x,y,L(z,u,w)). x != a(y,z,L(u,u \ w,v5)) | x = L(a(y,z,u),w,v5). a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). a(x,L(y,z,u),w) = L(a(w,x,y),z,u). a(x,y,L(z,x,u)) = a(x,y,z). a(x,y,L(z,u,w)) = L(a(z,x,y),u,w). L(L(x,y,z),y,u) = a(y,u,x) * L(x,y,z). a(x,y,z) * L(z,x,u) = L(L(z,x,u),x,y). x != L(a(y,z,u),w,v5) | x = a(z,L(u,w,v5),y). a(x,y,L(z,u,w)) = a(x,L(y,u,w),z). a(x,L(y,z,u),w) = a(x,y,L(w,z,u)). L(x,L(y,z,u),w) = a(x,y,L(w,z,u)) * x. a(x,y,L(z,u,w)) * x = L(x,L(y,u,w),z). a(x,y,z) * L(y,z,u) = L(L(y,z,u),z,x). L(x,y,L(z,u,w)) = L(x,L(y,u,w),z). L(x,L(y,z,u),w) = L(x,y,L(w,z,u)). L(x,L(y,z,u),w) != v5 | L(x,y,L(w,z,u)) = v5. L(x,y,L(z * u,z,u)) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). x != L(L(y,z,u),z,u) | x = u \ (z \ (u * (T(z,u) * y))). a(x,y,z) * L(y,z,x) = x \ (z \ (x * (T(z,x) * y))). x \ (y \ (x * (T(y,x) * z))) = a(x,z,y) * L(z,y,x). L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,z * ((w * z) \ (T(w,z) * u))). L(x,y,z * u) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). x * y != (z * L(u,w,v5)) * (w * v5) | (L(z,u,w * v5) * ((u * w) * v5)) / y = x. (L(x,y,L(z \ 1,z,u) * w) * ((y * L(z \ 1,z,u)) * w)) / (L(z \ 1,u,z) * w) = x * L(y,L(z \ 1,z,u),w). L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,z * ((z * w) \ (w * u))). x != L(y,z,u * ((u * w) \ (w * v5))) | x = L(y,z,L(v5,u,w)). L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,L(u,z,w)). L(x,y,L(L(z,u,w),u,w)) = L(x,y,L(z,w,u)). x \ (a(x,y \ 1,z * (x \ y)) \ z) = L(y \ 1,u,y) * ((x * L(y \ 1,y,u)) \ z). x \ (a(x,x \ (y / z),z) \ y) = L(z \ 1,u,z) * ((x * L(z \ 1,z,u)) \ y). x \ (x * ((x \ (y / z)) * z)) = L(z \ 1,u,z) * ((x * L(z \ 1,z,u)) \ y). L(x \ 1,y,x) * ((z * L(x \ 1,x,y)) \ u) = (z \ (u / x)) * x. (L(x,y,z \ u) * ((y * L(z \ 1,z,w)) * u)) / (L(z \ 1,w,z) * u) = x * L(y,L(z \ 1,z,w),u). x / (L(y \ 1,z,y) * ((u * L(y \ 1,y,z)) \ (L(w,u,y \ x) \ x))) = w * L(u,L(y \ 1,y,z),x). x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,L(u \ 1,u,w),x). x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,x,L(u,u,w)). x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,x,u). x / (((L(y,z,x) * u) \ (x / z)) * z) = y * L(u,x,z). L(L(x,y,z) * u,z,y) = x * L(u,z,y). L(x * y,z,u) = L(x,z,u) * L(y,z,u). L(x,y,z) * L(u,y,z) = L(x * u,y,z). x != L(K(y,z) / y,u,w) * z | x = z / L(y,u,w). L((K(x,L(y,z,u)) / x) * y,z,u) = L(y,z,u) / L(x,z,u). (x * L(y,z,u)) * L(w,z,u) = L((L(x,u,z) * y) * w,z,u). L((L(x,y,z) * u) * w,z,y) = (x * L(u,z,y)) * L(w,z,y). L((K(x,y) / x) * y,z,u) = L(y,z,u) / L(x,z,u). L(x / y,z,u) = L(x,z,u) / L(y,z,u). L(x,y,z) / L(u,y,z) = L(x / u,y,z). x * y != (z * L(u,w,v5)) * L(v6,w,v5) | L((L(z,v5,w) * u) * v6,w,v5) / y = x. L((L(x,y,z) * u) * w,z,y) / (L(u,z,y) * L(w,z,y)) = L(x,L(u,z,y),L(w,z,y)). L((L(x,y,z) * u) * w,z,y) / L(u * w,z,y) = L(x,L(u,z,y),L(w,z,y)). x != L(y,z,u) / L(w,z,u) | x = L(y / w,z,u). L(x,L(y,z,u),L(w,z,u)) = L(((L(x,u,z) * y) * w) / (y * w),z,u). L(((L(x,y,z) * u) * w) / (u * w),z,y) = L(x,L(u,z,y),L(w,z,y)). L(x / (y * ((L(z,u,w) * y) \ x)),w,u) = L(z,L(y,w,u),L(x,w,u)). L(L(L(x,y,z),u,w),z,y) = L(x,L(u,z,y),L(w,z,y)). x != L(L(L(y,z,u),w,v5),u,z) | x = L(y,w,v5). L(x,L(y,z,u),L(w,z,u)) = L(x,y,w). L(x,y,L(L(z,u,w),u,w)) = L(x,y,z). x != L(y,z,L(L(u,w,v5),w,v5)) | x = L(y,z,L(u,v5,w)). L(x,y,z) = L(x,y,L(z,u,w)). L(x,y,L(z,u,w)) = L(x,y,z). x != L(y,z,L(u,w,v5)) | x = L(y,z,u). L(x,y,L(L(z,u,w),v5,v6)) = L(x,y,z). x != L(y,L(z,u,w),L(v5,u,w)) | x = L(y,z,v5). L(x,L(y,z,u),w) = L(x,y,L(w,v5,v6)). x != L(y,z,u) | x = a(y,z,u) * y. L(x,L(y,z,u),w) = a(x,y,L(w,v5,v6)) * x. a(x,L(y,z,u),w) = a(x,y,L(w,v5,v6)). a(x,y,z) = a(x,y,L(z,u,w)). a(x,y,L(z,u,w)) = a(x,y,z). x != a(y,z,L(u,w,v5)) | x = L(a(y,z,u),w,v5). a(x,y,z) = L(a(x,y,z),u,w). L(a(x,y,z),u,w) = a(x,y,z). a(x,y,z) * u != L(a(x,y,z),w,v5) | 1 = u. 1 = a(a(x,y,z),u,w). end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 a(a(x,y,z),u,w) = 1 # label("aa1") # label(non_clause) # label(goal). [goal]. ============================== end of process non-clausal formulas === ============================== PROCESS INITIAL CLAUSES =============== % Clauses before input processing: formulas(usable). end_of_list. formulas(sos). 1 * x = x. [assumption]. x * 1 = x. [assumption]. x \ (x * y) = y. [assumption]. x * (x \ y) = y. [assumption]. (x * y) / y = x. [assumption]. (x / y) * y = x. [assumption]. x * y != z | x * u != z | u = y. [clausify(1)]. x * y != z | u * y != z | u = x. [clausify(2)]. x * y != x * z | y = z. [clausify(3)]. x * y != z * y | x = z. [clausify(4)]. x != y | z * x = z * y. [assumption]. x != y | x * z = y * z. [assumption]. (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. x \ (y * x) = T(y,x). [assumption]. a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. T(x,y) != x | T(y,x) = y. [clausify(7)]. T(x,y) != x | K(x,y) = 1. [clausify(8)]. K(x,y) != 1 | T(x,y) = x. [clausify(9)]. T(T(x,y),z) = T(T(x,z),y). [assumption]. T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. a(a(c1,c2,c3),c4,c5) != 1 # label("aa1"). [deny(10)]. end_of_list. formulas(demodulators). end_of_list. % 19617 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % copying label "aa1" to answer in negative clause Term ordering decisions: Function symbol KB weights: 1=1. c1=1. c2=1. c3=1. c4=1. c5=1. *=1. T=1. \=1. /=1. K=1. L=1. R=1. a=1. Predicate symbol precedence: predicate_order([ = ]). Function symbol precedence: function_order([ 1, c1, c2, c3, c4, c5, *, T, \, /, K, L, R, a ]). Skipping inverse_order, because term ordering is KBO. Unfolding symbols: K/2 T/2 L/3 R/3 a/3. Auto_inference settings: % set(paramodulation). % (positive equality literals) % set(hyper_resolution). % (nonunit Horn with equality) % set(hyper_resolution) -> set(pos_hyper_resolution). % set(neg_ur_resolution). % (nonunit Horn with equality) % assign(para_lit_limit, 3). % (nonunit Horn with equality) Auto_process settings: (no changes). kept: 11 1 * x = x. [assumption]. kept: 12 x * 1 = x. [assumption]. kept: 13 x \ (x * y) = y. [assumption]. kept: 14 x * (x \ y) = y. [assumption]. kept: 15 (x * y) / y = x. [assumption]. kept: 16 (x / y) * y = x. [assumption]. kept: 17 x * y != z | x * u != z | u = y. [clausify(1)]. kept: 18 x * y != z | u * y != z | u = x. [clausify(2)]. kept: 19 x * y != x * z | y = z. [clausify(3)]. kept: 20 x * y != z * y | x = z. [clausify(4)]. kept: 21 x != y | z * x = z * y. [assumption]. kept: 22 x != y | x * z = y * z. [assumption]. 23 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. kept: 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 25 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. kept: 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. kept: 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 29 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. kept: 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 31 x \ (y * x) = T(y,x). [assumption]. kept: 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. kept: 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. kept: 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. kept: 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. kept: 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. kept: 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. kept: 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 39 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. kept: 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 41 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. kept: 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 43 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. kept: 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. kept: 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. kept: 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. kept: 47 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. kept: 48 x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. kept: 49 a(a(c1,c2,c3),c4,c5) != 1 # label("aa1") # answer("aa1"). [deny(10)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 49 a(a(c1,c2,c3),c4,c5) != 1 # label("aa1") # answer("aa1"). [deny(10)]. end_of_list. formulas(sos). 11 1 * x = x. [assumption]. 12 x * 1 = x. [assumption]. 13 x \ (x * y) = y. [assumption]. 14 x * (x \ y) = y. [assumption]. 15 (x * y) / y = x. [assumption]. 16 (x / y) * y = x. [assumption]. 17 x * y != z | x * u != z | u = y. [clausify(1)]. 18 x * y != z | u * y != z | u = x. [clausify(2)]. 19 x * y != x * z | y = z. [clausify(3)]. 20 x * y != z * y | x = z. [clausify(4)]. 21 x != y | z * x = z * y. [assumption]. 22 x != y | x * z = y * z. [assumption]. 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 47 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. 48 x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 15208 hints (19617 processed, 4409 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.56 seconds. given #1 (I,wt=5): 11 1 * x = x. [assumption]. given #2 (I,wt=5): 12 x * 1 = x. [assumption]. given #3 (I,wt=7): 13 x \ (x * y) = y. [assumption]. given #4 (I,wt=7): 14 x * (x \ y) = y. [assumption]. given #5 (I,wt=7): 15 (x * y) / y = x. [assumption]. given #6 (I,wt=7): 16 (x / y) * y = x. [assumption]. given #7 (I,wt=13): 17 x * y != z | x * u != z | u = y. [clausify(1)]. given #8 (I,wt=13): 18 x * y != z | u * y != z | u = x. [clausify(2)]. given #9 (I,wt=10): 19 x * y != x * z | y = z. [clausify(3)]. given #10 (I,wt=10): 20 x * y != z * y | x = z. [clausify(4)]. given #11 (I,wt=10): 21 x != y | z * x = z * y. [assumption]. given #12 (I,wt=10): 22 x != y | x * z = y * z. [assumption]. given #13 (I,wt=16): 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. given #14 (I,wt=11): 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. given #15 (I,wt=14): 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. given #16 (I,wt=14): 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. given #17 (I,wt=9): 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. given #18 (I,wt=12): 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. given #19 (I,wt=12): 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. given #20 (I,wt=10): 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. given #21 (I,wt=10): 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. given #22 (I,wt=10): 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. given #23 (I,wt=11): 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. given #24 (I,wt=13): 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. given #25 (I,wt=13): 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. given #26 (I,wt=15): 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. given #27 (I,wt=15): 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. given #28 (I,wt=15): 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. given #29 (I,wt=17): 47 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. given #30 (I,wt=11): 48 x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. given #31 (H,wt=5): 50 1 \ x = x. [para(11(a,1),13(a,1,2))]. given #32 (H,wt=5): 52 x \ x = 1. [para(12(a,1),13(a,1,2))]. given #33 (H,wt=5): 59 x / x = 1. [para(11(a,1),15(a,1,1))]. given #34 (H,wt=5): 60 x / 1 = x. [para(12(a,1),15(a,1,1))]. given #35 (H,wt=5): 112 T(x,x) = x. [para(32(a,2),13(a,1))]. given #36 (H,wt=5): 128 K(x,x) = 1. [para(52(a,1),26(a,2))]. given #37 (H,wt=7): 62 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. given #38 (H,wt=7): 65 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. given #39 (H,wt=7): 127 T(x,1) = x * 1. [para(50(a,1),32(a,2))]. given #40 (H,wt=5): 144 T(x,1) = x. [hyper(18,a,12,a,b,127,a(flip)),flip(a)]. given #41 (H,wt=5): 145 K(x,1) = 1. [hyper(36,a,144,a)]. given #42 (H,wt=5): 146 T(1,x) = 1. [hyper(35,a,144,a)]. given #43 (H,wt=5): 147 K(1,x) = 1. [hyper(36,a,146,a)]. given #44 (H,wt=8): 74 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. given #45 (H,wt=8): 75 1 * x != y | x = y. [para(11(a,1),19(a,2))]. given #46 (H,wt=8): 81 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. given #47 (H,wt=8): 82 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. given #48 (H,wt=8): 152 T(x,1) != y | y = x. [para(127(a,2),81(a,1))]. given #49 (H,wt=9): 51 x \ (1 * (x * y)) = y. [para(11(a,2),13(a,1,2))]. given #50 (H,wt=9): 54 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. given #51 (H,wt=9): 55 x * (x \ (1 * y)) = y. [para(14(a,2),11(a,1))]. given #52 (H,wt=9): 56 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. given #53 (H,wt=9): 63 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. given #54 (H,wt=9): 64 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. given #55 (H,wt=9): 113 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. given #56 (H,wt=9): 115 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. given #57 (H,wt=9): 126 (x * (x \ 1)) \ y = y. [para(14(a,2),50(a,1,1))]. given #58 (H,wt=9): 129 x / (y * (y \ 1)) = x. [para(14(a,2),60(a,1,2))]. given #59 (H,wt=9): 130 x / ((1 / y) * y) = x. [para(16(a,2),60(a,1,2))]. given #60 (H,wt=9): 131 T(T(x,y),x) = T(x,y). [para(112(a,1),38(a,1,1)),flip(a)]. given #61 (H,wt=7): 186 T(x,T(x,y)) = x. [hyper(35,a,131,a)]. given #62 (H,wt=9): 137 (x * y) / T(x,y) = y. [para(32(a,2),62(a,1,2))]. given #63 (H,wt=9): 160 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,113,a)]. given #64 (H,wt=9): 161 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,113,a(flip)),flip(a)]. given #65 (H,wt=9): 162 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,113,a(flip)),flip(a)]. given #66 (H,wt=9): 165 x * T(y / x,x) = y. [para(113(a,2),16(a,1))]. given #67 (H,wt=10): 78 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. given #68 (H,wt=10): 84 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. given #69 (H,wt=10): 85 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. given #70 (H,wt=8): 198 x != y | y / 1 = x. [para(12(a,1),85(a,1))]. given #71 (H,wt=10): 154 x * (y \ y) != z | x = z. [para(52(a,2),82(a,1,2))]. given #72 (H,wt=8): 199 x \ x != y | 1 = y. [para(11(a,1),154(a,1))]. given #73 (H,wt=11): 53 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. given #74 (H,wt=11): 57 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. given #75 (H,wt=9): 200 x \ (y * (y \ x)) = 1. [para(12(a,1),57(a,1,2,2,2))]. given #76 (H,wt=9): 202 x * (x \ y) = y * 1. [para(200(a,1),14(a,1,2)),flip(a)]. given #77 (H,wt=9): 204 (x / y) * y = x * 1. [para(65(a,1),202(a,1,2))]. given #78 (H,wt=10): 205 x * (x \ y) != z | z = y. [para(202(a,2),81(a,1))]. given #79 (H,wt=10): 207 (x / y) * y != z | z = x. [para(204(a,2),81(a,1))]. given #80 (H,wt=8): 214 x / 1 != y | y = x. [para(12(a,1),207(a,1))]. given #81 (H,wt=11): 58 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. given #82 (H,wt=11): 61 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. given #83 (H,wt=11): 66 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. given #84 (H,wt=11): 67 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. given #85 (H,wt=9): 221 (x / y) * y = 1 * x. [para(55(a,1),67(a,1,1,1))]. given #86 (H,wt=9): 222 (1 * x) / y = x / y. [hyper(85,a,221,a)]. given #87 (H,wt=9): 223 ((1 * x) / y) \ x = y. [para(222(a,2),65(a,1,1))]. given #88 (H,wt=11): 68 (((x * y) / z) * z) / y = x. [para(16(a,2),15(a,1,1))]. given #89 (H,wt=11): 69 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. given #90 (H,wt=11): 70 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. given #91 (H,wt=9): 227 x != y | z != y | z = x. [para(11(a,1),70(b,1))]. given #92 (H,wt=11): 71 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. given #93 (H,wt=11): 86 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. given #94 (H,wt=11): 87 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. given #95 (H,wt=11): 88 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. given #96 (H,wt=11): 92 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. given #97 (H,wt=11): 114 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. given #98 (H,wt=11): 123 (x * y) \ 1 = y \ (x \ 1). [hyper(17,a,14,a,b,48,a)]. given #99 (H,wt=11): 124 (x \ y) * (y \ 1) = x \ 1. [para(14(a,1),48(a,1,2,1))]. given #100 (H,wt=11): 125 (x / y) \ 1 = y * (x \ 1). [para(16(a,1),48(a,1,2,1)),flip(a)]. given #101 (H,wt=11): 132 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),40(a,1,1)),flip(a)]. given #102 (H,wt=8): 264 T(x,L(x,y,z)) = x. [hyper(35,a,132,a)]. given #103 (H,wt=11): 133 (x / (y \ x)) * z = y * z. [hyper(22,a,62,a)]. given #104 (H,wt=11): 135 (x * y) / K(x,y) = y * x. [para(26(a,2),62(a,1,2))]. given #105 (H,wt=11): 139 x / (y / ((z \ x) \ y)) = z. [para(62(a,2),62(a,1,2))]. given #106 (H,wt=11): 140 ((x / y) \ x) * z = y * z. [hyper(22,a,65,a)]. given #107 (H,wt=11): 141 x * ((y / (x \ z)) \ y) = z. [para(65(a,2),14(a,1,2))]. given #108 (H,wt=11): 143 ((x / (y / z)) \ x) \ y = z. [para(65(a,2),65(a,1,1))]. given #109 (H,wt=11): 163 (x \ y) * T(x,x \ y) = y. [para(113(a,2),14(a,1))]. given #110 (H,wt=11): 181 T(x / (x / y),x / y) = y. [para(115(a,2),65(a,1))]. given #111 (H,wt=11): 182 K(x \ 1,x) = (x \ 1) * x. [para(126(a,1),26(a,2))]. given #112 (H,wt=11): 187 T(x,y) * x = x * T(x,y). [para(131(a,1),113(a,1,2)),flip(a)]. given #113 (H,wt=11): 188 T(T(x,y),T(x,z)) = T(x,y). [para(186(a,1),38(a,1,1)),flip(a)]. given #114 (H,wt=11): 189 T(x / y,y \ x) = x / y. [para(115(a,1),186(a,1,2))]. given #115 (H,wt=11): 190 x / T(y,y \ x) = y \ x. [para(14(a,1),137(a,1,1))]. given #116 (H,wt=11): 201 (x / y) \ (z * (z \ x)) = y. [para(16(a,1),57(a,1,2,2,2))]. given #117 (H,wt=11): 208 (x / y) * y = z * (z \ x). [para(204(a,2),202(a,2)),flip(a)]. given #118 (H,wt=11): 220 ((x * (x \ y)) / z) \ y = z. [hyper(78,a,67,a)]. given #119 (H,wt=11): 224 ((x / y) * y) / z = x / z. [para(221(a,2),222(a,1,1))]. given #120 (H,wt=11): 225 (((x / y) * y) / z) \ x = z. [para(221(a,2),223(a,1,1,1))]. given #121 (H,wt=11): 228 (x / y) \ x = z * (z \ y). [hyper(227,a,65,a,b,14,a),flip(a)]. given #122 (H,wt=10): 281 (x / y) \ x != z | z = y. [para(228(a,2),205(a,1))]. given #123 (H,wt=10): 282 x \ (x * y) != z | z = y. [para(15(a,1),281(a,1,1))]. given #124 (H,wt=8): 287 T(x,x) != y | y = x. [para(32(a,2),282(a,1))]. given #125 (H,wt=11): 229 x / (y \ x) = (y / z) * z. [hyper(227,a,62,a,b,16,a),flip(a)]. given #126 (H,wt=10): 292 x / (y \ x) != z | z = y. [para(229(a,2),207(a,1))]. given #127 (H,wt=8): 296 x / x != y | 1 = y. [para(50(a,1),292(a,1,2)),flip(b)]. given #128 (H,wt=10): 293 (x * y) / y != z | z = x. [para(13(a,1),292(a,1,2))]. given #129 (H,wt=11): 230 (x * y) / y = z / (x \ z). [hyper(227,a,62,a,b,15,a)]. given #130 (H,wt=11): 231 x / (y \ x) = z * (z \ y). [hyper(227,a,62,a,b,14,a),flip(a)]. given #131 (H,wt=11): 232 (x * y) / y = (x / z) * z. [hyper(227,a,16,a,b,15,a)]. given #132 (H,wt=11): 233 x \ (x * y) = z * (z \ y). [hyper(227,a,14,a,b,13,a)]. given #133 (H,wt=11): 234 (x / (y * (y \ z))) * z = x. [hyper(207,a,86,a)]. given #134 (H,wt=11): 235 K(x,1 / x) = x * (1 / x). [hyper(17,a,63,a,b,92,a)]. given #135 (H,wt=11): 248 (x * y) * (y \ (x \ 1)) = 1. [para(123(a,1),14(a,1,2))]. given #136 (H,wt=11): 249 (x \ y) \ (x \ 1) = y \ 1. [para(14(a,1),123(a,1,1)),flip(a)]. given #137 (H,wt=11): 250 ((1 / x) * y) \ 1 = y \ x. [para(65(a,1),123(a,2,2))]. given #138 (H,wt=11): 253 (x \ 1) / (y \ 1) = x \ y. [hyper(85,a,124,a)]. given #139 (H,wt=11): 258 1 / ((x \ y) * (y \ 1)) = x. [para(124(a,2),62(a,1,2))]. given #140 (H,wt=11): 259 (x \ (1 / y)) * y = x \ 1. [para(65(a,1),124(a,1,2))]. given #141 (H,wt=11): 261 (x / y) * (y * (x \ 1)) = 1. [para(125(a,1),14(a,1,2))]. given #142 (H,wt=11): 263 1 / (x * (y \ 1)) = y / x. [para(125(a,1),62(a,1,2))]. given #143 (H,wt=11): 266 ((x / y) \ x) * (y \ z) = z. [hyper(227,a,14,a(flip),b,140,a)]. given #144 (H,wt=11): 267 x * (((y / x) \ y) \ z) = z. [hyper(205,a,140,a)]. given #145 (H,wt=11): 268 (x / y) * ((z / y) \ z) = x. [para(65(a,1),141(a,1,2,1,2))]. given #146 (H,wt=11): 272 K(x \ 1,x) / x = x \ 1. [hyper(85,a,182,a(flip))]. given #147 (H,wt=11): 273 (x \ 1) \ K(x \ 1,x) = x. [hyper(78,a,182,a(flip))]. given #148 (H,wt=11): 277 x / (y \ ((x / z) * z)) = y. [hyper(18,a,141,a,b,208,a(flip))]. given #149 (H,wt=11): 279 ((1 / x) \ y) \ x = y \ 1. [hyper(17,a,124,a,b,228,a(flip))]. given #150 (H,wt=11): 303 (x * (x \ y)) \ z = y \ z. [para(231(a,1),65(a,1,1))]. given #151 (H,wt=11): 313 1 / (x \ y) = (1 / y) * x. [para(250(a,1),62(a,1,2))]. given #152 (H,wt=11): 317 x / (y \ 1) = (1 / x) \ y. [para(65(a,1),253(a,1,1))]. given #153 (H,wt=11): 318 (x \ 1) / y = x \ (1 / y). [para(65(a,1),253(a,1,2))]. given #154 (H,wt=11): 325 (1 / x) / y = 1 / (y * x). [para(65(a,1),263(a,1,2,2)),flip(a)]. given #155 (H,wt=11): 335 (1 / (x * y)) * x = 1 / y. [para(13(a,1),313(a,1,2)),flip(a)]. given #156 (H,wt=11): 337 (1 / x) * (x / y) = 1 / y. [para(65(a,1),313(a,1,2)),flip(a)]. given #157 (H,wt=11): 339 (1 / x) \ (1 / y) = x / y. [para(65(a,1),317(a,1,2)),flip(a)]. given #158 (H,wt=12): 76 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. given #159 (H,wt=10): 353 x * y != x * z | z = y. [para(12(a,1),76(a,1))]. given #160 (H,wt=12): 97 x \ (1 * (x * y)) = L(y,x,1). [para(11(a,1),28(a,2,1)),flip(a)]. given #161 (H,wt=6): 354 L(x,y,1) = x. [hyper(227,a,51,a(flip),b,97,a(flip))]. given #162 (H,wt=8): 355 L(x,y,1) = x / 1. [hyper(227,a,60,a,b,354,a)]. given #163 (H,wt=9): 357 L(x,y,1) != z | z = x. [para(355(a,2),214(a,1))]. given #164 (H,wt=12): 98 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. given #165 (H,wt=10): 358 x \ (x * y) = L(y,1,x). [para(12(a,1),98(a,1,1))]. given #166 (H,wt=6): 359 L(x,1,y) = x. [hyper(282,a,358,a)]. given #167 (H,wt=9): 360 L(x,1,y) != z | z = x. [para(358(a,1),282(a,1))]. given #168 (H,wt=12): 99 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. given #169 (H,wt=6): 362 L(1,x,y) = 1. [hyper(199,a,99,a),flip(a)]. given #170 (H,wt=6): 364 a(x,y,1) = 1. [hyper(34,a,362,a)]. given #171 (H,wt=8): 365 a(x,y,K(z,z)) = 1. [para(128(a,2),364(a,1,3))]. given #172 (H,wt=12): 105 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. given #173 (H,wt=10): 366 (x * y) / y = R(x,1,y). [para(12(a,1),105(a,1,1,1))]. given #174 (H,wt=6): 367 R(x,1,y) = x. [hyper(293,a,366,a)]. given #175 (H,wt=9): 368 R(x,1,y) != z | z = x. [para(366(a,1),293(a,1))]. given #176 (H,wt=12): 106 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. given #177 (H,wt=10): 370 (x * y) / y = R(x,y,1). [para(12(a,1),106(a,1,2))]. given #178 (H,wt=6): 371 R(x,y,1) = x. [hyper(293,a,370,a)]. given #179 (H,wt=9): 372 R(x,y,1) != z | z = x. [para(370(a,1),293(a,1))]. given #180 (H,wt=12): 148 (x * (x \ 1)) * y != z | y = z. [para(14(a,2),75(a,1,1))]. given #181 (H,wt=12): 149 ((1 / x) * x) * y != z | y = z. [para(16(a,2),75(a,1,1))]. given #182 (H,wt=12): 150 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),81(a,1,2))]. given #183 (H,wt=12): 151 x * ((1 / y) * y) != z | z = x. [para(16(a,2),81(a,1,2))]. given #184 (H,wt=12): 153 x * ((1 / y) * y) != z | x = z. [para(16(a,2),82(a,1,2))]. given #185 (H,wt=12): 156 L(x \ 1,x,y) = (y * x) \ y. [para(56(a,1),28(a,2,2))]. given #186 (H,wt=12): 157 R(1 / x,x,y) = y / (x * y). [para(63(a,1),30(a,2,1))]. given #187 (H,wt=12): 167 x * y != z * x | T(z,x) = y. [para(113(a,1),19(a,1)),flip(a)]. given #188 (H,wt=12): 168 x * T(y,x) != y * z | z = x. [para(113(a,2),19(a,2)),flip(a)]. given #189 (H,wt=12): 169 x * T(y,x) != z * x | z = y. [para(113(a,2),20(a,2)),flip(a)]. given #190 (H,wt=12): 195 x * y != z | T(z / x,x) = y. [para(165(a,1),19(a,1)),flip(a)]. given #191 (H,wt=12): 196 x * y != z | T(x,y) = y \ z. [para(113(a,1),78(a,1)),flip(b)]. given #192 (H,wt=12): 203 x * 1 != y * z | y \ x = z. [para(202(a,1),19(a,1))]. given #193 (H,wt=12): 206 x * 1 != y * z | x / z = y. [para(204(a,1),20(a,1))]. given #194 (H,wt=12): 210 x * T(y,x) != z | y * x = z. [para(32(a,2),205(a,1,2)),flip(b)]. given #195 (H,wt=12): 211 (x * (x \ 1)) \ y != z | z = y. [para(54(a,1),205(a,1))]. given #196 (H,wt=12): 212 ((1 / x) * x) \ y != z | z = y. [para(63(a,1),205(a,1))]. given #197 (H,wt=12): 213 x * y != z | y * T(x,y) = z. [para(162(a,1),205(a,1,2)),flip(b)]. given #198 (H,wt=12): 216 x / (y * (y \ 1)) != z | z = x. [para(56(a,1),207(a,1))]. given #199 (H,wt=12): 217 x / ((1 / y) * y) != z | z = x. [para(64(a,1),207(a,1))]. given #200 (H,wt=12): 283 x \ (y * x) != z | T(y,x) = z. [para(137(a,1),281(a,1,1)),flip(b)]. given #201 (H,wt=12): 286 x \ (1 * (x * y)) != z | z = y. [para(11(a,2),282(a,1,2))]. given #202 (H,wt=12): 289 T((x * y) / x,x) != z | z = y. [para(115(a,2),282(a,1))]. given #203 (H,wt=12): 290 x \ (y * (y \ x)) != z | 1 = z. [para(202(a,2),282(a,1,2)),flip(b)]. given #204 (H,wt=12): 297 (x * T(y,x)) / x != z | z = y. [para(162(a,1),292(a,1,2))]. given #205 (H,wt=12): 299 (1 * x) / y != z | x / y = z. [para(221(a,1),293(a,1,1)),flip(b)]. given #206 (H,wt=12): 378 (x * y) * L(y \ 1,y,x) = x. [para(156(a,2),14(a,1,2))]. given #207 (H,wt=12): 383 x / L(y \ 1,y,x) = x * y. [para(156(a,2),62(a,1,2))]. given #208 (H,wt=12): 388 R(1 / x,x,y) \ y = x * y. [para(157(a,2),65(a,1,1))]. given #209 (H,wt=12): 401 L(x \ 1,x,1 / x) = 1 / x. [hyper(212,a,156,a(flip))]. given #210 (H,wt=12): 408 T(x / y,y) != z | y \ x = z. [para(14(a,1),289(a,1,1,1)),flip(b)]. given #211 (H,wt=13): 72 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. given #212 (H,wt=13): 73 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. given #213 (H,wt=13): 93 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. given #214 (H,wt=13): 94 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. given #215 (H,wt=13): 95 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. given #216 (H,wt=13): 96 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. given #217 (H,wt=13): 164 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),113(a,1,2))]. given #218 (H,wt=13): 175 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),113(a,1,2))]. given #219 (H,wt=13): 178 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),38(a,1,1)),flip(a)]. given #220 (H,wt=13): 191 T(T((x * y) / x,z),x) = T(y,z). [para(160(a,1),38(a,1,1)),flip(a)]. given #221 (H,wt=13): 192 T((x * y) / x,y) = (x * y) / x. [para(160(a,1),186(a,1,2))]. given #222 (H,wt=9): 437 T(x,(y * x) / y) = x. [hyper(35,a,192,a)]. given #223 (H,wt=13): 193 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),161(a,1,1,2))]. given #224 (H,wt=13): 236 x * K(y \ x,y) = (y \ x) * y. [hyper(227,a,88,a(flip),b,92,a(flip)),flip(a)]. given #225 (H,wt=13): 237 x * K(y,x / y) = y * (x / y). [hyper(227,a,87,a(flip),b,92,a(flip)),flip(a)]. given #226 (H,wt=13): 251 T(x,y) \ (y \ 1) = (x * y) \ 1. [para(113(a,1),123(a,1,1)),flip(a)]. given #227 (H,wt=13): 265 L(x,y,z) * x = x * L(x,y,z). [para(132(a,1),113(a,1,2)),flip(a)]. given #228 (H,wt=13): 271 x * T(x \ 1,x) = K(x \ 1,x). [hyper(227,a,113,a,b,182,a),flip(a)]. given #229 (H,wt=13): 336 (1 / (x * y)) * y = 1 / T(x,y). [para(32(a,2),313(a,1,2)),flip(a)]. given #230 (H,wt=13): 346 T(1 / (x * y),x) = x \ (1 / y). [para(325(a,1),115(a,1,1))]. given #231 (H,wt=13): 424 x * K(x,x \ 1) = (x \ 1) \ 1. [para(94(a,1),48(a,1,2))]. given #232 (H,wt=13): 425 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(182(a,2),94(a,1,1))]. given #233 (H,wt=13): 446 T(x,y) \ (y \ 1) = y \ (x \ 1). [hyper(227,a,123,a(flip),b,251,a)]. given #234 (H,wt=13): 449 x * K(x,x \ 1) = T(x,x \ 1). [hyper(227,a,114,a,b,424,a)]. given #235 (H,wt=14): 77 x \ (x * (y * z)) != y * u | u = z. [para(13(a,2),19(a,2)),flip(a)]. given #236 (H,wt=14): 79 x * (x \ (y * z)) != y * u | u = z. [para(14(a,2),19(a,2)),flip(a)]. given #237 (H,wt=14): 80 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. given #238 (H,wt=14): 83 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. given #239 (H,wt=14): 100 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. given #240 (H,wt=14): 102 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. given #241 (H,wt=14): 109 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. given #242 (H,wt=14): 110 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. given #243 (H,wt=14): 136 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),62(a,1,2))]. given #244 (H,wt=14): 142 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),65(a,1,1))]. given #245 (H,wt=14): 155 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(54(a,1),30(a,2,1))]. given #246 (H,wt=14): 159 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(64(a,1),28(a,2,2))]. given #247 (H,wt=14): 183 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(126(a,1),28(a,2)),flip(a)]. given #248 (H,wt=14): 184 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(129(a,1),30(a,2)),flip(a)]. given #249 (H,wt=14): 185 (x * (1 / y)) * y = R(x,1 / y,y). [para(130(a,1),30(a,2)),flip(a)]. given #250 (H,wt=14): 197 x * ((y / (z \ u)) \ y) != u | x = z. [para(65(a,2),84(a,1,2))]. given #251 (H,wt=14): 219 L(x \ (y \ z),x,y) = (y * x) \ z. [para(58(a,1),28(a,2,2))]. given #252 (H,wt=14): 226 R((x / y) / z,z,y) = x / (z * y). [para(69(a,1),30(a,2,1))]. given #253 (H,wt=14): 238 (x * y) * z != y * x | K(y,x) = z. [para(92(a,1),19(a,1)),flip(a)]. given #254 (H,wt=14): 239 (x * y) * K(y,x) != y * z | z = x. [para(92(a,2),19(a,2)),flip(a)]. given #255 (H,wt=14): 254 (x \ y) * z != x \ 1 | y \ 1 = z. [para(124(a,1),19(a,1)),flip(a)]. given #256 (H,wt=14): 255 x \ 1 != y * (z \ 1) | x \ z = y. [para(124(a,1),20(a,1))]. given #257 (H,wt=14): 269 (x \ y) * z != y | T(x,x \ y) = z. [para(163(a,1),19(a,1)),flip(a)]. given #258 (H,wt=14): 274 T(x,y) * z != x * T(x,y) | z = x. [para(187(a,1),19(a,2))]. given #259 (H,wt=14): 276 x * (x \ y) != z * u | y / u = z. [para(201(a,1),84(a,1,2)),flip(a),flip(b)]. given #260 (H,wt=14): 278 (x / y) * y != z * u | z \ x = u. [para(208(a,2),19(a,1))]. given #261 (H,wt=14): 280 (x / y) \ x != z * u | z \ y = u. [para(228(a,2),19(a,1))]. given #262 (H,wt=14): 284 (x * y) \ (y * x) != z | K(y,x) = z. [para(135(a,1),281(a,1,1)),flip(b)]. given #263 (H,wt=14): 285 (x \ y) \ y != z | T(x,x \ y) = z. [para(190(a,1),281(a,1,1)),flip(b)]. given #264 (H,wt=14): 288 x \ (y \ 1) != z | (y * x) \ 1 = z. [para(48(a,1),282(a,1,2)),flip(b)]. given #265 (H,wt=14): 291 (x \ y) \ (x \ 1) != z | y \ 1 = z. [para(124(a,1),282(a,1,2)),flip(b)]. given #266 (H,wt=14): 298 1 / (x * (y \ 1)) != z | y / x = z. [para(125(a,1),292(a,1,2)),flip(b)]. given #267 (H,wt=14): 300 (x \ 1) / (y \ 1) != z | x \ y = z. [para(124(a,1),293(a,1,1)),flip(b)]. given #268 (H,wt=14): 301 (x / (y \ x)) * z != u | y * z = u. [para(230(a,1),207(a,1,1)),flip(b)]. given #269 (H,wt=14): 302 x / (y \ x) != z * u | z \ y = u. [para(231(a,2),19(a,1))]. given #270 (H,wt=12): 558 x / x != y * z | y \ 1 = z. [para(50(a,1),302(a,1,2))]. given #271 (H,wt=14): 304 (x * (x \ y)) \ z != u | y \ z = u. [para(231(a,1),281(a,1,1)),flip(b)]. given #272 (H,wt=14): 305 (x * y) / y != z * u | x / u = z. [para(232(a,2),20(a,1))]. given #273 (H,wt=12): 561 x / x != y * z | 1 / z = y. [para(11(a,1),305(a,1,1))]. given #274 (H,wt=14): 306 ((x / y) * y) * z != u | x * z = u. [para(232(a,1),207(a,1,1)),flip(b)]. given #275 (H,wt=14): 307 x \ (x * y) != z * u | z \ y = u. [para(233(a,2),19(a,1))]. given #276 (H,wt=14): 308 x * (y * (y \ z)) != u | x * z = u. [para(233(a,1),205(a,1,2)),flip(b)]. given #277 (H,wt=14): 311 (x * y) \ 1 != z | y \ (x \ 1) = z. [para(248(a,1),282(a,1,2)),flip(b)]. given #278 (H,wt=14): 312 (x \ y) * (y \ 1) != z | x \ 1 = z. [para(249(a,1),205(a,1,2)),flip(b)]. given #279 (H,wt=14): 316 1 / (x \ y) != z | (1 / y) * x = z. [para(250(a,1),292(a,1,2)),flip(b)]. given #280 (H,wt=14): 321 (x \ 1) / y != z | x \ (1 / y) = z. [para(259(a,1),293(a,1,1)),flip(b)]. given #281 (H,wt=14): 324 (x / y) \ 1 != z | y * (x \ 1) = z. [para(261(a,1),282(a,1,2)),flip(b)]. given #282 (H,wt=14): 330 x * ((y / z) \ y) != u | u / z = x. [para(268(a,1),20(a,1)),flip(a)]. given #283 (H,wt=14): 331 (x \ 1) * x != y | K(x \ 1,x) = y. [para(272(a,1),207(a,1,1)),flip(b)]. given #284 (H,wt=14): 334 x / (y \ 1) != z | (1 / x) \ y = z. [para(279(a,1),292(a,1,2)),flip(b)]. given #285 (H,wt=14): 338 ((1 / x) * y) \ 1 != z | y \ x = z. [para(313(a,1),281(a,1,1)),flip(b)]. given #286 (H,wt=14): 347 (1 / (x * y)) * x != z | 1 / y = z. [para(325(a,1),207(a,1,1)),flip(b)]. given #287 (H,wt=14): 348 1 / x != y * z | 1 / (z * x) = y. [para(335(a,1),20(a,1))]. given #288 (H,wt=14): 349 (1 / x) / y != z | 1 / (y * x) = z. [para(335(a,1),293(a,1,1)),flip(b)]. given #289 (H,wt=14): 350 (1 / x) \ (1 / y) != z | x / y = z. [para(337(a,1),282(a,1,2)),flip(b)]. given #290 (H,wt=14): 374 x * (1 / x) != y | K(x,1 / x) = y. [para(92(a,1),149(a,1))]. given #291 (H,wt=14): 375 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(227,a,303,a(flip),b,156,a)]. given #292 (H,wt=14): 379 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),156(a,2,1))]. given #293 (H,wt=14): 385 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),157(a,2,2))]. given #294 (H,wt=14): 386 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),157(a,2,2))]. given #295 (H,wt=14): 392 x * (x \ y) != z * u | z \ y = u. [para(202(a,2),203(a,1))]. given #296 (H,wt=14): 393 (x / y) * y != z * u | x / u = z. [para(204(a,2),206(a,1))]. given #297 (H,wt=14): 397 T(x,y) * x != z | x * T(x,y) = z. [para(186(a,1),210(a,1,2))]. given #298 (H,wt=14): 402 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(212,a,28,a(flip)),flip(a)]. given #299 (H,wt=14): 403 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),212(a,1)),flip(b)]. given #300 (H,wt=14): 409 ((x / y) * y) / z != u | x / z = u. [para(221(a,2),299(a,1,1))]. given #301 (H,wt=14): 411 x / L(y,1 / y,x) = x * (1 / y). [para(65(a,1),383(a,1,2,1))]. given #302 (H,wt=14): 414 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(62(a,1),388(a,1,1,1))]. given #303 (H,wt=14): 416 T(x,x \ y) != z | (x \ y) \ y = z. [para(62(a,1),408(a,1,1))]. given #304 (H,wt=14): 419 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(72,a,28,a,b,126,a(flip))]. given #305 (H,wt=14): 421 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(73,a,30,a,b,129,a(flip))]. given #306 (H,wt=14): 439 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(193(a,1),289(a,1,1)),flip(b)]. given #307 (H,wt=14): 457 x * y != z * u | z \ (x * y) = u. [para(57(a,1),79(a,1,2)),flip(b)]. given #308 (H,wt=14): 458 x \ (x * y) != z * u | y / u = z. [para(16(a,1),83(a,1,2,2)),flip(b)]. given #309 (H,wt=14): 459 (x * y) / L(z \ y,z,x) = x * z. [hyper(73,a,86,a(flip),b,100,a)]. given #310 (H,wt=14): 460 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(17,a,58,a(flip),b,100,a)]. given #311 (H,wt=14): 480 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(227,a,126,a(flip),b,102,a)]. given #312 (H,wt=14): 481 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(212,a,102,a(flip))]. given #313 (H,wt=14): 492 R(x / y,y,z) \ (x * z) = y * z. [hyper(72,a,87,a(flip),b,109,a)]. given #314 (H,wt=14): 511 R(x / (1 / y),1 / y,y) = x * y. [hyper(227,a,130,a(flip),b,110,a)]. given #315 (H,wt=14): 512 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(227,a,129,a(flip),b,110,a)]. given #316 (H,wt=14): 529 x / K(x \ 1,x) = R(x,x \ 1,x). [para(182(a,2),155(a,2,2)),flip(a)]. given #317 (H,wt=14): 530 K(x,1 / x) \ x = L(x,1 / x,x). [para(235(a,2),159(a,2,1)),flip(a)]. given #318 (H,wt=14): 544 (x / y) \ x != z * u | y / u = z. [para(228(a,2),276(a,1))]. given #319 (H,wt=14): 549 (x * y) / y != z * u | z \ x = u. [para(232(a,2),278(a,1))]. given #320 (H,wt=14): 555 1 / (x * y) != z | (1 / y) / x = z. [para(65(a,1),298(a,1,2,2))]. given #321 (H,wt=14): 556 (x * (x \ y)) * z != u | y * z = u. [para(231(a,1),301(a,1,1))]. given #322 (H,wt=14): 567 x \ 1 != y | (z \ x) \ (z \ 1) = y. [para(14(a,1),311(a,1,1))]. given #323 (H,wt=14): 577 (1 / x) * y != z | 1 / (y \ x) = z. [para(14(a,1),347(a,1,1,2))]. given #324 (H,wt=14): 579 x \ (1 / y) != z | (x \ 1) / y = z. [para(62(a,1),350(a,1,1))]. given #325 (H,wt=14): 580 (1 / x) \ y != z | x / (y \ 1) = z. [para(62(a,1),350(a,1,2))]. given #326 (H,wt=14): 612 K(x,1 / x) * L(x,1 / x,x) = x. [para(530(a,1),14(a,1,2))]. given #327 (H,wt=14): 615 ((x / y) \ x) * z != u | y * z = u. [para(228(a,2),556(a,1,1))]. given #328 (H,wt=15): 116 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(38(a,1),38(a,1,1)),flip(a)]. given #329 (H,wt=15): 119 ((1 / x) \ y) * x = x * ((y * 1) * x). [para(11(a,1),47(a,1,2))]. given #330 (H,wt=13): 619 ((1 / x) \ y) * x = x * (y * x). [para(12(a,1),119(a,2,2,1))]. given #331 (H,wt=11): 621 T((1 / x) \ y,x) = y * x. [hyper(167,a,619,a(flip))]. given #332 (H,wt=11): 625 T(x,y) = ((1 / y) * x) * y. [para(13(a,1),621(a,1,1))]. given #333 (H,wt=11): 628 T(x / (y \ 1),x) = y * x. [para(317(a,2),621(a,1,1))]. given #334 (H,wt=11): 629 T(x / y,x) = (1 / y) * x. [para(339(a,1),621(a,1,1))]. given #335 (H,wt=11): 631 T(x,y) / y = (1 / y) * x. [hyper(73,a,625,a,b,xx)]. given #336 (H,wt=11): 642 T(x / y,x) = 1 / (x \ y). [hyper(227,a,313,a,b,629,a)]. given #337 (H,wt=11): 644 T(x / y,x) \ 1 = x \ y. [para(629(a,2),250(a,1,1))]. given #338 (H,wt=11): 648 T(x / y,x) * y = T(x,y). [para(629(a,2),625(a,2,1)),flip(a)]. given #339 (H,wt=11): 649 T(x / y,x) = T(x,y) / y. [hyper(227,a,629,a,b,631,a),flip(a)]. given #340 (H,wt=11): 655 T(x,y) \ 1 = y \ (x \ y). [para(62(a,1),644(a,1,1,1))]. given #341 (H,wt=11): 659 x * (T(y,x) \ 1) = y \ x. [para(655(a,2),14(a,1,2))]. given #342 (H,wt=13): 620 (x * (y * x)) / x = (1 / x) \ y. [hyper(85,a,619,a)]. given #343 (H,wt=13): 624 x * ((1 / y) * x) = (x / y) * x. [para(339(a,1),619(a,1,1)),flip(a)]. given #344 (H,wt=13): 626 T(x \ y,x \ 1) = y * (x \ 1). [para(62(a,1),621(a,1,1,1))]. given #345 (H,wt=13): 634 (1 / T(x,y)) * x = x / T(x,y). [hyper(73,a,186,a(flip),b,625,a(flip)),flip(a)]. given #346 (H,wt=13): 636 (1 / x) * T(x,y) = T(x,y) / x. [hyper(73,a,131,a(flip),b,625,a(flip)),flip(a)]. given #347 (H,wt=13): 637 (1 / x) * (y / x) = (x \ y) / x. [hyper(73,a,115,a(flip),b,625,a(flip)),flip(a)]. given #348 (H,wt=13): 639 (x * y) * (x \ 1) = T(y,x \ 1). [para(62(a,1),625(a,2,1,1)),flip(a)]. given #349 (H,wt=13): 640 T(x,x * y) = (1 / y) * (x * y). [para(335(a,1),625(a,2,1))]. given #350 (H,wt=13): 650 T(x,y \ 1) / (y \ 1) = y * x. [hyper(227,a,133,a(flip),b,631,a)]. given #351 (H,wt=13): 656 T(x,x * y) * y = T(x * y,y). [para(15(a,1),648(a,1,1,1))]. given #352 (H,wt=13): 660 x \ ((y / x) \ x) = (x \ y) \ 1. [para(115(a,1),655(a,1,1)),flip(a)]. given #353 (H,wt=13): 661 x \ (T(x,y) \ x) = T(x,y) \ 1. [para(131(a,1),655(a,1,1)),flip(a)]. given #354 (H,wt=13): 663 x * ((x \ y) \ 1) = (y / x) \ x. [para(115(a,1),659(a,1,2,1))]. given #355 (H,wt=13): 664 x * (T(x,y) \ 1) = T(x,y) \ x. [para(131(a,1),659(a,1,2,1))]. given #356 (H,wt=13): 665 T(x,y) * (x \ 1) = x \ T(x,y). [para(186(a,1),659(a,1,2,1))]. given #357 (H,wt=13): 666 ((x * y) / x) \ x = x * (y \ 1). [para(160(a,1),659(a,1,2,1)),flip(a)]. given #358 (H,wt=13): 673 (1 / x) \ (y / x) = (x * y) / x. [para(16(a,1),620(a,1,1,2)),flip(a)]. given #359 (H,wt=13): 676 (x / (x * y)) * x = x * (1 / y). [para(335(a,1),624(a,1,2)),flip(a)]. given #360 (H,wt=13): 681 T(x,1 / x) / x = x * (1 / x). [hyper(210,a,636,a),flip(a)]. given #361 (H,wt=13): 689 1 / T(x,y \ 1) = y / (y * x). [para(639(a,1),263(a,1,2))]. given #362 (H,wt=13): 692 (1 / T(x,y \ 1)) \ y = y * x. [hyper(334,a,650,a)]. given #363 (H,wt=9): 705 (x \ 1) \ x = x * x. [para(190(a,1),692(a,1,1))]. given #364 (H,wt=13): 699 x / (x * (y \ 1)) = (x * y) / x. [para(666(a,1),62(a,1,2))]. given #365 (H,wt=13): 700 (x * (1 / y)) / x = x / (x * y). [hyper(85,a,676,a)]. given #366 (H,wt=13): 702 T(x,1 / x) / x = K(x,1 / x). [hyper(227,a,235,a,b,681,a)]. given #367 (H,wt=14): 638 T(x,y) != z * y | (1 / y) * x = z. [para(625(a,2),20(a,1))]. given #368 (H,wt=14): 641 T((1 / x) \ y,x) != z | y * x = z. [para(625(a,2),556(a,1))]. given #369 (H,wt=14): 654 T(x / y,x) != z | (1 / y) * x = z. [para(642(a,2),316(a,1))]. given #370 (H,wt=14): 657 T(x / y,x) * y != z | T(x,y) = z. [para(649(a,2),207(a,1,1)),flip(b)]. given #371 (H,wt=14): 662 x \ y != y * z | T(x,y) \ 1 = z. [para(659(a,1),19(a,1))]. given #372 (H,wt=15): 166 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),17(a,1)),flip(c)]. given #373 (H,wt=13): 709 T(x / y,(z / y) \ z) = y \ x. [hyper(166,a,268,a,b,266,a)]. given #374 (H,wt=15): 176 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),113(a,1,2))]. given #375 (H,wt=15): 177 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),113(a,1,2))]. given #376 (H,wt=13): 722 R(x,y,z) * x = x * R(x,y,z). [para(112(a,1),177(a,1,2,1)),flip(a)]. given #377 (H,wt=8): 728 T(x,R(x,y,z)) = x. [hyper(167,a,722,a)]. given #378 (H,wt=8): 729 K(R(x,y,z),x) = 1. [hyper(71,a,722,a(flip),b,92,a),flip(a)]. given #379 (H,wt=10): 733 x * K(R(y,z,u),y) = x. [para(729(a,2),12(a,1,2))]. given #380 (H,wt=15): 179 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),40(a,1,1)),flip(a)]. given #381 (H,wt=15): 180 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),42(a,1,1)),flip(a)]. given #382 (H,wt=14): 737 T(x / (y * x),y) = R(y \ 1,y,x). [para(157(a,1),180(a,1,1))]. given #383 (H,wt=15): 194 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(40(a,2),162(a,1,2,2))]. given #384 (H,wt=15): 243 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(92(a,1),137(a,1,1))]. given #385 (H,wt=15): 244 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,114,a)]. given #386 (H,wt=15): 245 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,114,a)]. given #387 (H,wt=15): 246 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(227,a,14,a,b,114,a(flip))]. given #388 (H,wt=15): 257 (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. [para(124(a,1),48(a,1,2,1))]. given #389 (H,wt=15): 260 (x \ 1) \ ((y \ x) \ 1) = (y \ 1) \ 1. [para(124(a,1),123(a,1,1)),flip(a)]. given #390 (H,wt=15): 270 T(x / (x / y),(z / (x / y)) \ z) = y. [para(65(a,2),181(a,1,2))]. given #391 (H,wt=15): 275 (x / y) * (y \ x) = (y \ x) * (x / y). [para(189(a,1),113(a,1,2)),flip(a)]. given #392 (H,wt=15): 314 (((1 / x) * y) * z) \ 1 = z \ (y \ x). [para(250(a,1),123(a,2,2))]. given #393 (H,wt=15): 315 (x \ ((1 / y) * z)) * (z \ y) = x \ 1. [para(250(a,1),124(a,1,2))]. given #394 (H,wt=15): 319 ((x / y) \ (1 / z)) * z = y * (x \ 1). [hyper(227,a,125,a(flip),b,259,a)]. given #395 (H,wt=15): 320 (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). [para(259(a,1),48(a,1,2,1)),flip(a)]. given #396 (H,wt=15): 326 1 / (x * (y \ (z \ 1))) = (z * y) / x. [para(123(a,1),263(a,1,2,2))]. given #397 (H,wt=15): 327 1 / (x * (y * (z \ 1))) = (z / y) / x. [para(125(a,1),263(a,1,2,2))]. given #398 (H,wt=15): 328 ((1 / x) * y) / z = 1 / (z * (y \ x)). [para(250(a,1),263(a,1,2,2)),flip(a)]. given #399 (H,wt=15): 329 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(190(a,1),266(a,1,1,1))]. given #400 (H,wt=15): 332 ((1 / x) \ (y * z)) \ x = z \ (y \ 1). [hyper(227,a,123,a(flip),b,279,a)]. given #401 (H,wt=15): 333 ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). [para(279(a,1),124(a,1,1)),flip(a)]. given #402 (H,wt=15): 340 x / (y \ (z \ 1)) = (1 / x) \ (z * y). [para(123(a,1),317(a,1,2))]. given #403 (H,wt=15): 341 x / (y * (z \ 1)) = (1 / x) \ (z / y). [para(125(a,1),317(a,1,2))]. given #404 (H,wt=15): 342 (1 / x) \ ((1 / y) * z) = x / (z \ y). [para(250(a,1),317(a,1,2)),flip(a)]. given #405 (H,wt=15): 343 (x \ (y \ 1)) / z = (y * x) \ (1 / z). [para(123(a,1),318(a,1,1))]. given #406 (H,wt=15): 344 ((1 / x) * y) \ (1 / z) = (y \ x) / z. [para(250(a,1),318(a,1,1)),flip(a)]. given #407 (H,wt=15): 345 1 / ((x \ 1) * y) = (1 / (1 / y)) \ x. [hyper(227,a,317,a(flip),b,325,a(flip))]. given #408 (H,wt=15): 351 (1 / (1 / x)) * (1 / y) = 1 / (y / x). [para(337(a,1),335(a,1,1,2))]. given #409 (H,wt=15): 410 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(378(a,1),282(a,1,2)),flip(b)]. given #410 (H,wt=15): 415 x / (y * x) != z | R(1 / y,y,x) = z. [para(388(a,1),292(a,1,2)),flip(b)]. given #411 (H,wt=15): 418 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(72,a,114,a,b,14,a)]. given #412 (H,wt=15): 420 x != y | z * u != y | T(z,u) = u \ x. [para(113(a,1),72(b,1)),flip(c)]. given #413 (H,wt=15): 422 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),93(a,2,1)),flip(a)]. given #414 (H,wt=11): 766 K(x \ (x * y),x) = K(y,x). [hyper(227,a,93,a(flip),b,422,a),flip(a)]. given #415 (H,wt=11): 767 K(x \ (x * y),z) = K(y,z). [para(53(a,1),766(a,1,1)),flip(a)]. given #416 (H,wt=11): 768 K((x / y) \ x,z) = K(y,z). [para(16(a,1),767(a,1,1,2))]. given #417 (H,wt=15): 423 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),93(a,1,2))]. given #418 (H,wt=15): 427 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),175(a,1,2,1))]. given #419 (H,wt=15): 429 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),175(a,1,2,1)),flip(a)]. given #420 (H,wt=11): 770 x * T(x \ y,y) = T(y,x). [hyper(657,a,429,a),flip(a)]. given #421 (H,wt=11): 771 T(x \ y,y) = x \ T(y,x). [hyper(72,a,648,a(flip),b,429,a(flip)),flip(a)]. given #422 (H,wt=11): 772 T(x,y * T(y \ x,x)) = x. [para(770(a,2),186(a,1,2))]. given #423 (H,wt=15): 430 T((x * y) / x,z) * x = x * T(y,z). [para(160(a,1),175(a,1,2,1)),flip(a)]. given #424 (H,wt=15): 432 (x * T(x \ y,z)) / x = T(y / x,z). [para(178(a,1),161(a,1,1,2))]. given #425 (H,wt=15): 433 (x * T(y,z)) / x = T((x * y) / x,z). [para(191(a,1),161(a,1,1,2))]. given #426 (H,wt=15): 448 1 / T(x \ y,y \ 1) = x * (y \ 1). [para(258(a,1),336(a,1,1)),flip(a)]. given #427 (H,wt=13): 779 x / (x * (y \ x)) = y * (x \ 1). [hyper(227,a,689,a(flip),b,448,a(flip)),flip(a)]. given #428 (H,wt=13): 780 (x * (y \ 1)) \ y = y * (x \ y). [para(448(a,1),692(a,1,1))]. given #429 (H,wt=13): 781 (x / y) * (x \ 1) = x / (x * y). [para(65(a,1),779(a,1,2,2)),flip(a)]. given #430 (H,wt=13): 784 x * ((y \ x) \ x) = (y \ 1) \ x. [para(124(a,1),780(a,1,1)),flip(a)]. given #431 (H,wt=13): 786 x \ ((y \ 1) \ x) = (y \ x) \ x. [hyper(78,a,784,a)]. given #432 (H,wt=13): 787 T(x \ 1,y) \ 1 = (x \ y) \ y. [hyper(17,a,659,a,b,784,a),flip(a)]. given #433 (H,wt=13): 788 x * T(y,y \ x) = (y \ 1) \ x. [hyper(227,a,245,a,b,784,a(flip)),flip(a)]. given #434 (H,wt=13): 790 ((1 / x) \ y) \ y = y \ (x \ y). [para(65(a,1),786(a,1,2,1)),flip(a)]. given #435 (H,wt=13): 792 1 / ((x \ y) \ y) = T(x \ 1,y). [para(787(a,1),62(a,1,2))]. given #436 (H,wt=13): 793 x / (x \ (y \ x)) = (1 / y) \ x. [para(790(a,1),62(a,1,2))]. given #437 (H,wt=13): 794 (1 / x) * (y \ x) = T(y \ 1,x). [hyper(316,a,792,a)]. given #438 (H,wt=9): 798 T(x \ 1,x) = 1 / x. [hyper(154,a,794,a),flip(a)]. given #439 (H,wt=11): 800 (x \ 1) * x = x * (1 / x). [para(798(a,1),113(a,1,2)),flip(a)]. given #440 (H,wt=12): 799 T(x \ 1,x) != y | 1 / x = y. [para(794(a,1),154(a,1))]. given #441 (H,wt=13): 795 1 / T(x,x \ y) = T(x \ 1,y). [para(114(a,2),792(a,1,2))]. given #442 (H,wt=13): 796 (1 / (x / y)) \ x = x / (x \ y). [para(65(a,1),793(a,1,2,2)),flip(a)]. given #443 (H,wt=13): 797 x / (T(y,x) \ 1) = (1 / y) \ x. [para(655(a,2),793(a,1,2))]. given #444 (H,wt=13): 803 T(x \ 1,x * y) = 1 / T(x,y). [para(13(a,1),795(a,1,2,2)),flip(a)]. given #445 (H,wt=13): 805 (1 / x) \ T(y,x) = (1 / y) \ x. [hyper(334,a,797,a)]. given #446 (H,wt=13): 806 T((1 / x) \ y,y) = T(x,y) * y. [para(797(a,1),628(a,1,1))]. given #447 (H,wt=14): 801 x * (1 / x) != y | (x \ 1) * x = y. [para(798(a,1),210(a,1,2))]. given #448 (H,wt=15): 632 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(73,a,264,a(flip),b,625,a(flip)),flip(a)]. given #449 (H,wt=15): 635 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(73,a,132,a(flip),b,625,a(flip)),flip(a)]. given #450 (H,wt=15): 643 T(x / y,x) * z = ((1 / y) * x) * z. [hyper(22,a,629,a)]. given #451 (H,wt=15): 651 x * (T(y,z) / z) = x * ((1 / z) * y). [hyper(21,a,631,a)]. given #452 (H,wt=15): 667 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(132(a,1),659(a,1,2,1))]. given #453 (H,wt=15): 668 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [para(264(a,1),659(a,1,2,1))]. given #454 (H,wt=15): 679 T(T(x,y),y \ 1) = (x * y) * (y \ 1). [para(32(a,2),626(a,1,1))]. given #455 (H,wt=14): 813 T(T(x,y),y \ 1) = R(x,y,y \ 1). [hyper(227,a,184,a(flip),b,679,a)]. given #456 (H,wt=15): 697 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(227,a,626,a,b,665,a(flip)),flip(a)]. given #457 (H,wt=15): 730 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(73,a,728,a(flip),b,625,a(flip)),flip(a)]. given #458 (H,wt=15): 731 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [para(728(a,1),655(a,1,1)),flip(a)]. given #459 (H,wt=15): 732 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [para(728(a,1),659(a,1,2,1))]. given #460 (H,wt=15): 740 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(392,a,244,a),flip(a)]. given #461 (H,wt=15): 744 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(227,a,16,a(flip),b,245,a)]. given #462 (H,wt=15): 749 (x \ 1) * T(y,y \ 1) = (y \ x) \ 1. [hyper(227,a,245,a,b,257,a(flip)),flip(a)]. given #463 (H,wt=15): 769 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [para(48(a,1),767(a,1,1,2)),flip(a)]. given #464 (H,wt=15): 785 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [para(665(a,1),780(a,1,1))]. given #465 (H,wt=15): 802 T(x \ 1,y) * x = x * T(1 / x,y). [para(798(a,1),175(a,1,2,1)),flip(a)]. given #466 (H,wt=15): 808 x * ((1 / y) \ (x \ 1)) = T(y,x \ 1). [hyper(18,a,639,a,b,806,a(flip)),flip(a)]. given #467 (H,wt=15): 809 T(T(x,y \ 1),y) * y = T(y * x,y). [para(692(a,1),806(a,1,1)),flip(a)]. given #468 (H,wt=15): 810 (x / L(x,y,z)) / x = 1 / L(x,y,z). [hyper(85,a,632,a)]. given #469 (H,wt=15): 811 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(85,a,635,a)]. given #470 (H,wt=15): 819 T(T(x,y),y \ 1) * y = T(y * x,y). [para(38(a,1),809(a,1,1))]. given #471 (H,wt=14): 822 R(x,y,y \ 1) * y = T(y * x,y). [para(813(a,1),819(a,1,1))]. given #472 (H,wt=15): 821 T(T(x,y),y \ 1) = (1 / y) * (y * x). [hyper(18,a,625,a(flip),b,819,a)]. given #473 (H,wt=16): 89 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. given #474 (H,wt=16): 101 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. given #475 (H,wt=16): 103 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. given #476 (H,wt=16): 104 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. given #477 (H,wt=16): 107 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. given #478 (H,wt=16): 111 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. given #479 (H,wt=16): 134 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),62(a,1,2))]. given #480 (H,wt=16): 158 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(64(a,1),24(a,2,1)),flip(a)]. given #481 (H,wt=15): 828 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(185(a,1),158(a,1,2))]. given #482 (H,wt=16): 173 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),28(a,2,2,2)),flip(a)]. given #483 (H,wt=12): 829 L(T(x,y),y,x) = T(x,x * y). [hyper(283,a,173,a),flip(a)]. given #484 (H,wt=12): 834 T(L(x,y,x),y) = T(x,x * y). [hyper(227,a,40,a(flip),b,829,a(flip)),flip(a)]. given #485 (H,wt=14): 838 x * T(y,y * x) = L(y,x,y) * x. [para(829(a,1),176(a,1,2))]. given #486 (H,wt=14): 840 (x * T(y,y * x)) / x = L(y,x,y). [para(834(a,1),161(a,1,1,2))]. given #487 (H,wt=14): 841 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,430,a,b,838,a(flip)),flip(a)]. given #488 (H,wt=15): 832 L(T(x,y),y,x) != z | T(x,x * y) = z. [para(173(a,1),283(a,1))]. given #489 (H,wt=16): 242 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(92(a,1),30(a,2,1)),flip(a)]. given #490 (H,wt=16): 309 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),234(a,1,1))]. given #491 (H,wt=16): 376 L(x \ 1,x,y) * z = ((y * x) \ y) * z. [hyper(22,a,156,a)]. given #492 (H,wt=16): 377 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,156,a)]. given #493 (H,wt=16): 380 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(156(a,1),40(a,2,1)),flip(a)]. given #494 (H,wt=16): 384 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(22,a,157,a)]. given #495 (H,wt=16): 387 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(157(a,1),42(a,2,1)),flip(a)]. given #496 (H,wt=16): 389 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),167(a,2))]. given #497 (H,wt=16): 391 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),169(a,1,2)),flip(b)]. given #498 (H,wt=16): 394 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),210(a,1,2))]. given #499 (H,wt=16): 398 L(x,y,z) * x != u | x * L(x,y,z) = u. [para(264(a,1),210(a,1,2))]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 835 (0.00 of 8.14 sec). given #500 (H,wt=16): 407 x \ (y \ 1) != z | T(y \ (1 / x),x) = z. [para(259(a,1),283(a,1,2))]. given #501 (H,wt=16): 412 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(383(a,1),266(a,1,1,1))]. given #502 (H,wt=15): 854 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(412(a,1),154(a,1))]. given #503 (H,wt=16): 413 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(383(a,1),267(a,1,2,1,1))]. given #504 (H,wt=16): 426 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(164(a,1),28(a,2,2))]. given #505 (H,wt=12): 855 K(x,y) = L(x \ T(x,y),x,y). [hyper(227,a,26,a,b,426,a),flip(a)]. given #506 (H,wt=15): 857 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(426(a,2),284(a,1))]. given #507 (H,wt=16): 438 T(x,y) * z != u | z * T(T(x,z),y) = u. [para(193(a,1),207(a,1,1)),flip(b)]. given #508 (H,wt=16): 440 (x \ y) * x != y * z | K(x \ y,x) = z. [para(236(a,1),19(a,1))]. given #509 (H,wt=16): 442 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(236(a,1),282(a,1,2)),flip(b)]. given #510 (H,wt=16): 444 x * (y / x) != y * z | K(x,y / x) = z. [para(237(a,1),19(a,1))]. given #511 (H,wt=16): 445 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(237(a,1),282(a,1,2)),flip(b)]. given #512 (H,wt=16): 450 (x \ 1) \ 1 != x * y | K(x,x \ 1) = y. [para(424(a,1),19(a,1))]. given #513 (H,wt=16): 452 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(424(a,1),282(a,1,2)),flip(b)]. given #514 (H,wt=16): 455 x \ (y * x) != z * u | z \ T(y,x) = u. [para(164(a,1),77(a,1,2)),flip(b)]. given #515 (H,wt=16): 461 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(227,a,88,a(flip),b,100,a(flip)),flip(a)]. given #516 (H,wt=16): 462 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(227,a,87,a(flip),b,100,a(flip)),flip(a)]. given #517 (H,wt=16): 479 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(227,a,303,a(flip),b,102,a)]. given #518 (H,wt=16): 482 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),102(a,2,1))]. given #519 (H,wt=16): 483 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(16(a,1),102(a,2,2))]. given #520 (H,wt=16): 491 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(72,a,88,a(flip),b,109,a)]. given #521 (H,wt=16): 494 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),109(a,1,2))]. given #522 (H,wt=16): 513 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),110(a,2,1))]. given #523 (H,wt=16): 514 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),110(a,2,2))]. given #524 (H,wt=16): 517 R(x / y,y,x \ z) \ z = y * (x \ z). [para(110(a,2),220(a,1,1))]. given #525 (H,wt=16): 523 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),136(a,1,1,2))]. given #526 (H,wt=16): 524 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(113(a,1),136(a,1,1,2))]. given #527 (H,wt=16): 543 x * T(y,x) != z * u | (y * x) / u = z. [para(32(a,2),276(a,1,2))]. given #528 (H,wt=16): 547 x * T(y,x) != z * u | z \ (y * x) = u. [para(137(a,1),278(a,1,1))]. given #529 (H,wt=16): 559 (x * T(y,x)) / x != z * u | z \ y = u. [para(162(a,1),302(a,1,2))]. given #530 (H,wt=16): 563 (x * T(y,x)) / x != z * u | y / u = z. [para(113(a,2),305(a,1,1))]. given #531 (H,wt=16): 572 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(113(a,2),331(a,1))]. given #532 (H,wt=16): 593 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(113(a,1),402(a,1,2)),flip(a)]. given #533 (H,wt=16): 614 (x \ y) * x != z | y * K(x \ y,x) = z. [para(92(a,1),556(a,1))]. given #534 (H,wt=16): 622 x * (y * x) != z * x | (1 / x) \ y = z. [para(619(a,1),20(a,1))]. given #535 (H,wt=16): 630 x * (y * x) != z | ((1 / x) \ y) * x = z. [para(621(a,1),210(a,1,2))]. given #536 (H,wt=16): 645 x * ((1 / y) * x) != z | (x / y) * x = z. [para(629(a,1),210(a,1,2))]. given #537 (H,wt=16): 674 ((1 / x) \ y) * x != z | x * (y * x) = z. [para(620(a,1),207(a,1,1)),flip(b)]. given #538 (H,wt=16): 688 T(x,y \ 1) != z * (y \ 1) | y * x = z. [para(639(a,1),20(a,1))]. given #539 (H,wt=16): 690 1 / T(x,y \ 1) != z | y / (y * x) = z. [para(639(a,1),298(a,1,2))]. given #540 (H,wt=16): 691 T(x \ y,x \ 1) != z | y * (x \ 1) = z. [para(639(a,1),556(a,1))]. given #541 (H,wt=16): 693 (x * y) * (x \ 1) != z | T(y,x \ 1) = z. [para(650(a,1),207(a,1,1)),flip(b)]. given #542 (H,wt=16): 694 x * ((x \ y) \ 1) != z | (y / x) \ x = z. [para(660(a,1),205(a,1,2)),flip(b)]. given #543 (H,wt=16): 695 (x / y) \ y != y * z | (y \ x) \ 1 = z. [para(663(a,1),19(a,1))]. given #544 (H,wt=16): 707 ((x * y) / x) \ x != z | x * (y \ 1) = z. [para(699(a,1),281(a,1,1)),flip(b)]. given #545 (H,wt=16): 738 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(110(a,1),180(a,1,1))]. given #546 (H,wt=16): 739 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(226(a,1),180(a,1,1)),flip(a)]. given #547 (H,wt=16): 774 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(432(a,1),289(a,1,1)),flip(b)]. given #548 (H,wt=16): 789 (x \ 1) \ y != y * z | (x \ y) \ y = z. [para(784(a,1),19(a,1))]. given #549 (H,wt=16): 791 x * ((y \ x) \ x) != z | (y \ 1) \ x = z. [para(786(a,1),205(a,1,2)),flip(b)]. given #550 (H,wt=16): 835 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(829(a,1),40(a,2,1))]. given #551 (H,wt=16): 850 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(205,a,384,a)]. given #552 (H,wt=16): 851 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(408,a,387,a),flip(a)]. given #553 (H,wt=16): 873 T(x / y,y) != z * u | (y \ x) / u = z. [para(432(a,1),563(a,1))]. given #554 (H,wt=16): 876 T(x,y \ 1) != z | (y * x) * (y \ 1) = z. [para(13(a,1),691(a,1,1))]. given #555 (H,wt=16): 878 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(697(a,1),691(a,1))]. given #556 (H,wt=16): 879 x * (y \ 1) != z | T(y \ x,y \ 1) = z. [para(14(a,1),693(a,1,1))]. given #557 (H,wt=16): 880 x * (y \ 1) != z | ((x * y) / x) \ x = z. [para(13(a,1),694(a,1,2,1))]. given #558 (H,wt=16): 881 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),738(a,2,1)),flip(a)]. given #559 (H,wt=12): 889 T(R(x,y,x),y * x) = T(x,y). [para(881(a,2),191(a,1,1))]. given #560 (H,wt=12): 891 R(T(x,y * x),y,x) = T(x,y). [hyper(227,a,42,a,b,889,a(flip)),flip(a)]. given #561 (H,wt=14): 895 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),891(a,1,1,2))]. given #562 (H,wt=12): 896 R(x,1 / x,x) = T(x,1 / x). [para(144(a,1),895(a,1,1))]. given #563 (H,wt=16): 885 x * T(y,y \ x) != z | (y \ 1) \ x = z. [para(114(a,2),791(a,1,2))]. given #564 (H,wt=16): 890 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(881(a,2),430(a,1,1))]. given #565 (H,wt=13): 897 (x * y) * T(y,x) = (y * x) * y. [hyper(227,a,109,a(flip),b,890,a(flip))]. given #566 (H,wt=15): 899 (x * (y / x)) * x = y * T(x,y / x). [hyper(306,a,897,a),flip(a)]. given #567 (H,wt=17): 117 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(42(a,2),38(a,1,1)),flip(a)]. given #568 (H,wt=17): 118 (x * ((y * z) * x)) / (z * x) = (1 / x) \ y. [hyper(18,a,16,a,b,47,a),flip(a)]. given #569 (H,wt=17): 120 x * ((((1 / x) * y) * z) * x) = y * (z * x). [para(13(a,1),47(a,1,1)),flip(a)]. given #570 (H,wt=13): 907 x * (T(y,x) * x) = y * (x * x). [para(625(a,2),120(a,1,2,1))]. given #571 (H,wt=15): 908 x * T((1 / y) \ x,x) = y * (x * x). [para(806(a,2),907(a,1,2))]. given #572 (H,wt=13): 909 ((1 / x) \ y) * y = x * (y * y). [hyper(210,a,908,a)]. given #573 (H,wt=13): 910 (1 / (x / (y * y))) \ y = x / y. [hyper(73,a,16,a(flip),b,909,a),flip(a)]. given #574 (H,wt=13): 913 (x \ 1) * (y * y) = (x \ y) * y. [para(62(a,1),909(a,1,1,1)),flip(a)]. given #575 (H,wt=15): 911 ((x * y) * x) * y = (x * y) * (x * y). [hyper(17,a,47,a(flip),b,909,a(flip)),flip(a)]. given #576 (H,wt=8): 916 a(x * y,x,y) = 1. [hyper(71,a,911,a(flip),b,89,a),flip(a)]. given #577 (H,wt=16): 912 ((1 / x) \ y) * y != x * z | y * y = z. [para(909(a,2),19(a,1))]. given #578 (H,wt=16): 915 ((1 / x) \ y) * y != z | x * (y * y) = z. [para(913(a,1),615(a,1))]. given #579 (H,wt=17): 121 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(16(a,1),47(a,1,2)),flip(a)]. given #580 (H,wt=11): 919 (x * (x / y)) * y = x * x. [hyper(17,a,909,a(flip),b,121,a)]. given #581 (H,wt=11): 922 (x * x) / y = x * (x / y). [hyper(85,a,919,a)]. given #582 (H,wt=11): 924 (x * y) * (y \ x) = x * x. [para(62(a,1),919(a,1,1,2))]. given #583 (H,wt=14): 923 x * y != z * z | z * (z / y) = x. [para(919(a,1),20(a,1)),flip(a)]. given #584 (H,wt=14): 927 (x * y) * z != x * x | y \ x = z. [para(924(a,1),19(a,1)),flip(a)]. given #585 (H,wt=15): 926 (x / y) * (x / y) = x * (y \ (x / y)). [hyper(306,a,924,a),flip(a)]. given #586 (H,wt=16): 925 x * y != z * z | T(z * (z / x),x) = y. [para(919(a,1),167(a,2))]. given #587 (H,wt=17): 209 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),205(a,1,2)),flip(b)]. given #588 (H,wt=17): 215 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),207(a,1,1)),flip(b)]. given #589 (H,wt=17): 247 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(114(a,1),40(a,1,1)),flip(a)]. given #590 (H,wt=17): 252 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(123(a,1),114(a,1,2))]. given #591 (H,wt=17): 295 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),292(a,1,2)),flip(b)]. given #592 (H,wt=17): 352 x * (((1 / y) * z) * x) = (x / y) * (z * x). [para(339(a,1),47(a,1,1)),flip(a)]. given #593 (H,wt=11): 936 (x / y) * (y * x) = x * x. [para(63(a,1),352(a,1,2)),flip(a)]. given #594 (H,wt=11): 937 x * (x / (y * x)) = x / y. [hyper(923,a,936,a)]. given #595 (H,wt=11): 938 x * ((x \ y) * y) = y * y. [hyper(301,a,936,a)]. given #596 (H,wt=8): 953 L(x,y \ x,y) = x. [hyper(17,a,461,a,b,938,a(flip)),flip(a)]. given #597 (H,wt=10): 956 L(x * y,y,x) = x * y. [para(13(a,1),953(a,1,2))]. given #598 (H,wt=11): 939 x \ (y * y) = (x \ y) * y. [hyper(72,a,936,a(flip),b,133,a(flip))]. given #599 (H,wt=11): 944 x / (y * x) = x \ (x / y). [hyper(78,a,937,a),flip(a)]. given #600 (H,wt=11): 945 x / ((y \ x) * x) = x \ y. [hyper(72,a,62,a(flip),b,937,a),flip(a)]. given #601 (H,wt=11): 947 x / (y / x) = x * (x / y). [para(16(a,1),937(a,1,2,2)),flip(a)]. given #602 (H,wt=11): 948 (x \ (x / y)) * (y * x) = x. [para(937(a,1),66(a,1,1,2))]. given #603 (H,wt=11): 950 ((x * y) \ x) * x = y \ x. [hyper(927,a,938,a),flip(a)]. given #604 (H,wt=11): 961 (x \ y) \ x = (y \ x) * x. [para(945(a,1),65(a,1,1))]. given #605 (H,wt=11): 963 (x * (x / y)) \ x = y / x. [para(947(a,1),65(a,1,1))]. given #606 (H,wt=11): 967 (x \ y) / y = (y * x) \ y. [hyper(85,a,950,a)]. given #607 (H,wt=12): 957 L(T(x,y),z \ x,z) = T(x,y). [para(953(a,1),40(a,2,1))]. given #608 (H,wt=13): 951 T(x * (x / y),y) = (y \ x) * x. [hyper(925,a,938,a)]. given #609 (H,wt=13): 959 (1 / x) \ (y * y) = x * (y * y). [hyper(227,a,909,a(flip),b,939,a)]. given #610 (H,wt=13): 966 T((x * y) \ x,x) = x \ (y \ x). [hyper(420,a,xx,b,950,a)]. given #611 (H,wt=13): 973 T(x \ y,x) \ 1 = T(y \ x,x). [hyper(166,a,961,a(flip),b,659,a),flip(a)]. given #612 (H,wt=13): 982 x / (y \ (y \ 1)) = x * (y * y). [hyper(227,a,340,a,b,959,a(flip)),flip(a)]. given #613 (H,wt=11): 986 1 / (x * x) = x \ (x \ 1). [hyper(561,a,982,a)]. given #614 (H,wt=11): 988 (1 / x) / x = x \ (x \ 1). [hyper(555,a,986,a)]. given #615 (H,wt=13): 984 (x * (y * y)) \ x = y \ (y \ 1). [para(959(a,1),332(a,1,1))]. given #616 (H,wt=13): 985 1 / T(x \ y,y) = T(y \ x,y). [para(973(a,1),62(a,1,2))]. given #617 (H,wt=13): 987 x * (y \ (y \ 1)) = x / (y * y). [hyper(305,a,982,a),flip(a)]. given #618 (H,wt=13): 989 x \ (x / (y * y)) = y \ (y \ 1). [para(16(a,1),984(a,1,1))]. given #619 (H,wt=13): 990 (x \ (x \ 1)) * y = (x * x) \ y. [para(984(a,1),950(a,1,1))]. given #620 (H,wt=13): 991 T(x \ (x / y),x) = 1 / T(y,x). [para(65(a,1),985(a,1,2,1)),flip(a)]. given #621 (H,wt=13): 992 (x \ (x \ 1)) \ y = (x * x) * y. [hyper(72,a,13,a(flip),b,990,a)]. given #622 (H,wt=14): 941 (x / y) * (y * x) != x * z | z = x. [para(936(a,2),19(a,2)),flip(a)]. given #623 (H,wt=14): 949 x \ (x / y) != z | x / (y * x) = z. [para(937(a,1),282(a,1,2)),flip(b)]. given #624 (H,wt=14): 954 x \ (y * y) != z | (x \ y) * y = z. [para(938(a,1),282(a,1,2)),flip(b)]. given #625 (H,wt=14): 964 (x * (x / y)) \ x != z | y / x = z. [para(947(a,1),281(a,1,1)),flip(b)]. given #626 (H,wt=14): 965 x / (y * x) != z | x \ (x / y) = z. [para(948(a,1),293(a,1,1)),flip(b)]. given #627 (H,wt=14): 969 x \ y != z * y | (y * x) \ y = z. [para(950(a,1),20(a,1))]. given #628 (H,wt=14): 971 (x \ y) / y != z | (y * x) \ y = z. [para(950(a,1),293(a,1,1)),flip(b)]. given #629 (H,wt=14): 974 (x \ y) \ x != z * x | y \ x = z. [para(961(a,2),20(a,1))]. given #630 (H,wt=15): 940 (x * y) * (x * y) = x * (y * (x * y)). [para(15(a,1),936(a,1,1)),flip(a)]. given #631 (H,wt=15): 946 (x \ y) * ((x \ y) / y) = (x \ y) / x. [para(14(a,1),937(a,1,2,2))]. given #632 (H,wt=15): 955 1 / ((x \ y) * y) = (1 / (y * y)) * x. [para(938(a,1),335(a,1,1,2)),flip(a)]. given #633 (H,wt=15): 960 (x \ (x / y)) \ 1 = (y * x) * (x \ 1). [para(944(a,1),125(a,1,1))]. given #634 (H,wt=15): 962 1 / ((x \ y) * y) = (1 / y) * (y \ x). [para(945(a,1),337(a,1,2)),flip(a)]. given #635 (H,wt=15): 968 ((x * y) * x) \ (x * y) = y / (x * y). [hyper(73,a,13,a(flip),b,950,a),flip(a)]. given #636 (H,wt=15): 970 ((x * y) \ x) \ 1 = x * ((y \ x) \ 1). [para(950(a,1),48(a,1,2,1)),flip(a)]. given #637 (H,wt=15): 972 ((x \ y) / y) * (1 / y) = x \ (1 / y). [para(344(a,1),950(a,1,1))]. given #638 (H,wt=15): 975 (x / ((y \ z) \ x)) \ y = (z \ y) * y. [para(62(a,2),961(a,1,1))]. given #639 (H,wt=13): 1004 ((x * x) \ y) \ 1 = y \ (x * x). [hyper(18,a,959,a(flip),b,975,a(flip)),flip(a)]. given #640 (H,wt=13): 1005 ((x * x) \ y) \ 1 = (y \ x) * x. [hyper(227,a,939,a(flip),b,1004,a)]. given #641 (H,wt=13): 1006 1 / ((x \ y) * y) = (y * y) \ x. [para(1005(a,1),62(a,1,2))]. given #642 (H,wt=13): 1007 (1 / x) * (x \ y) = (x * x) \ y. [hyper(227,a,962,a(flip),b,1006,a(flip)),flip(a)]. given #643 (H,wt=13): 1009 (x * x) \ (x / y) = 1 / (y * x). [para(65(a,1),1006(a,1,2,1)),flip(a)]. given #644 (H,wt=13): 1012 (1 / x) * (x \ 1) = x \ (x \ 1). [hyper(227,a,123,a(flip),b,1007,a)]. given #645 (H,wt=13): 1013 x \ ((x * x) * y) = (1 / x) \ y. [hyper(72,a,13,a(flip),b,1007,a),flip(a)]. given #646 (H,wt=13): 1014 (x * x) \ (x * y) = (1 / x) * y. [para(13(a,1),1007(a,1,2)),flip(a)]. given #647 (H,wt=12): 1020 L(x \ y,x,x) = (1 / x) * y. [hyper(227,a,102,a,b,1014,a(flip)),flip(a)]. given #648 (H,wt=12): 1021 (1 / x) * (x * y) = L(y,x,x). [hyper(227,a,28,a,b,1014,a(flip))]. given #649 (H,wt=11): 1024 L(x,y,1 / y) = L(x,y,y). [hyper(227,a,402,a(flip),b,1021,a(flip)),flip(a)]. given #650 (H,wt=12): 1023 T(T(x,y),y \ 1) = L(x,y,y). [hyper(227,a,821,a,b,1021,a(flip)),flip(a)]. given #651 (H,wt=10): 1029 T(x,x \ 1) = L(x,x,x). [para(112(a,1),1023(a,1,1))]. given #652 (H,wt=11): 1027 R(x,y,y \ 1) = L(x,y,y). [hyper(227,a,813,a(flip),b,1023,a(flip)),flip(a)]. given #653 (H,wt=12): 1025 L(x,y,y) \ 1 = (y * x) \ y. [para(1021(a,1),250(a,1,1))]. given #654 (H,wt=12): 1028 (x * y) * (y \ 1) = L(x,y,y). [hyper(227,a,679,a(flip),b,1023,a(flip)),flip(a)]. given #655 (H,wt=12): 1030 L(x / y,y,y) = x * (y \ 1). [hyper(227,a,512,a(flip),b,1027,a(flip))]. given #656 (H,wt=12): 1031 (x \ (x / y)) \ 1 = L(y,x,x). [hyper(227,a,960,a,b,1028,a(flip)),flip(a)]. given #657 (H,wt=12): 1033 1 / L(x,y,y) = y \ (y / x). [para(1031(a,1),62(a,1,2))]. given #658 (H,wt=12): 1034 L(x \ y,y,y) = (y \ x) \ 1. [para(62(a,1),1031(a,1,1,2)),flip(a)]. given #659 (H,wt=13): 1017 x * ((1 / x) \ y) = (x * x) * y. [para(1013(a,1),14(a,1,2))]. given #660 (H,wt=13): 1040 (x * x) * (1 / y) = x * (x / y). [para(339(a,1),1017(a,1,2)),flip(a)]. given #661 (H,wt=14): 1038 L(x \ y,y,1 / y) = (y \ x) \ 1. [hyper(227,a,1024,a,b,1034,a(flip)),flip(a)]. given #662 (H,wt=15): 976 (x \ ((1 / x) \ y)) \ x = (y \ 1) * x. [para(279(a,1),961(a,2,1))]. given #663 (H,wt=13): 1043 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(660(a,1),976(a,1,1))]. given #664 (H,wt=13): 1044 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(227,a,182,a,b,1043,a)]. given #665 (H,wt=13): 1045 T(x,x \ 1) \ x = (x \ 1) * x. [hyper(227,a,740,a,b,1043,a(flip)),flip(a)]. given #666 (H,wt=13): 1047 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1044(a,1),14(a,1,2))]. given #667 (H,wt=13): 1048 x / K(x \ 1,x) = (x \ 1) \ 1. [para(1044(a,1),62(a,1,2))]. given #668 (H,wt=12): 1052 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(227,a,529,a(flip),b,1048,a(flip)),flip(a)]. given #669 (H,wt=12): 1053 R(x,x \ 1,x) = T(x,x \ 1). [hyper(227,a,114,a,b,1052,a)]. given #670 (H,wt=13): 1049 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(166,a,1045,a(flip),b,664,a),flip(a)]. given #671 (H,wt=11): 1054 T(x,x \ 1) \ 1 = 1 / x. [hyper(227,a,798,a(flip),b,1049,a)]. given #672 (H,wt=11): 1057 ((x \ 1) \ 1) \ 1 = 1 / x. [hyper(227,a,740,a(flip),b,1054,a(flip)),flip(a)]. given #673 (H,wt=11): 1058 1 / (1 / x) = (x \ 1) \ 1. [para(709(a,1),1054(a,1,1)),flip(a)]. given #674 (H,wt=13): 1051 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(227,a,244,a,b,1047,a(flip)),flip(a)]. given #675 (H,wt=14): 1063 1 / (1 / x) != y | (x \ 1) \ 1 = y. [para(1057(a,1),292(a,1,2)),flip(b)]. given #676 (H,wt=15): 981 x * ((x \ y) * T(y,z)) = y * T(y,z). [para(957(a,1),461(a,1,2)),flip(a)]. given #677 (H,wt=11): 1081 (T(x,y) \ x) * T(x,y) = x. [hyper(274,a,981,a)]. given #678 (H,wt=11): 1085 x / T(x,y) = T(x,y) \ x. [hyper(85,a,1081,a)]. given #679 (H,wt=11): 1086 (T(x,y) \ x) \ x = T(x,y). [hyper(78,a,1081,a)]. given #680 (H,wt=13): 1089 x * (T(x,y) \ 1) = x / T(x,y). [hyper(227,a,664,a,b,1085,a),flip(a)]. given #681 (H,wt=13): 1090 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(227,a,634,a,b,1085,a(flip)),flip(a)]. given #682 (H,wt=13): 1091 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(73,a,1085,a(flip),b,634,a)]. given #683 (H,wt=13): 1093 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(166,a,634,a,b,1089,a)]. given #684 (H,wt=13): 1094 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(577,a,1090,a)]. given #685 (H,wt=13): 1095 (T(x,y) \ x) \ 1 = x \ T(x,y). [para(1090(a,1),250(a,1,1))]. given #686 (H,wt=13): 1096 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(1091(a,2),65(a,1,1))]. given #687 (H,wt=14): 1087 x / T(x,y) != z | T(x,y) \ x = z. [para(1081(a,1),293(a,1,1)),flip(b)]. given #688 (H,wt=15): 998 (x \ y) * ((y * x) \ y) = (x \ y) / x. [para(967(a,1),946(a,1,2))]. given #689 (H,wt=15): 999 1 / ((x \ y) * y) = (y \ (y \ 1)) * x. [para(986(a,1),955(a,2,1))]. given #690 (H,wt=15): 1000 ((x * y) * x) \ (x * y) = y \ (y / x). [hyper(227,a,944,a(flip),b,968,a)]. given #691 (H,wt=15): 1002 (x / y) \ (1 / x) = (y / x) * (1 / x). [para(65(a,1),972(a,1,1,1)),flip(a)]. given #692 (H,wt=15): 1003 ((x * y) \ x) * (1 / x) = y \ (1 / x). [para(967(a,1),972(a,1,1))]. given #693 (H,wt=15): 1010 1 / (x * (y * y)) = (y * y) \ (1 / x). [para(909(a,1),1006(a,1,2))]. given #694 (H,wt=15): 1035 1 / L(x,y,y) != z | y \ (y / x) = z. [para(1031(a,1),292(a,1,2)),flip(b)]. given #695 (H,wt=15): 1037 (x \ (x / y)) \ 1 != z | L(y,x,x) = z. [para(1033(a,1),281(a,1,1)),flip(b)]. given #696 (H,wt=15): 1041 (x * x) * (y / x) = x * ((x * y) / x). [para(673(a,1),1017(a,1,2)),flip(a)]. given #697 (H,wt=15): 1056 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(709(a,1),1049(a,1,1)),flip(a)]. given #698 (H,wt=11): 1106 T(x,1 / x) = (x \ 1) \ 1. [para(65(a,1),1056(a,1,1))]. given #699 (H,wt=11): 1108 T(x,1 / x) = T(x,x \ 1). [hyper(227,a,114,a,b,1106,a)]. given #700 (H,wt=12): 1110 R(x,1 / x,x) = T(x,x \ 1). [hyper(227,a,896,a,b,1108,a(flip)),flip(a)]. given #701 (H,wt=13): 1109 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1106(a,1),702(a,1,1))]. given #702 (H,wt=13): 1111 T(x,x \ 1) / x = K(x,1 / x). [para(1108(a,1),702(a,1,1))]. given #703 (H,wt=13): 1114 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(321,a,1109,a)]. given #704 (H,wt=13): 1116 (x \ 1) * K(x,1 / x) = 1 / x. [para(1114(a,1),14(a,1,2))]. given #705 (H,wt=14): 1107 (x \ 1) \ 1 != y | 1 / (1 / x) = y. [para(1056(a,1),799(a,1))]. given #706 (H,wt=15): 1060 (((x \ y) \ 1) \ 1) \ 1 = (1 / y) * x. [hyper(227,a,313,a(flip),b,1057,a)]. given #707 (H,wt=15): 1061 ((x \ 1) \ 1) \ (1 / y) = (1 / x) / y. [hyper(73,a,1057,a(flip),b,259,a),flip(a)]. given #708 (H,wt=15): 1062 ((x \ (y \ 1)) \ 1) \ 1 = 1 / (y * x). [para(123(a,1),1057(a,1,1,1))]. given #709 (H,wt=15): 1064 1 / ((1 / x) * y) = ((y \ x) \ 1) \ 1. [para(250(a,1),1057(a,1,1,1)),flip(a)]. given #710 (H,wt=15): 1065 ((x \ 1) \ 1) / y = 1 / (y * (1 / x)). [para(1057(a,1),263(a,1,2,2)),flip(a)]. given #711 (H,wt=15): 1066 (1 / x) \ ((y \ 1) \ 1) = x / (1 / y). [para(1057(a,1),317(a,1,2)),flip(a)]. given #712 (H,wt=15): 1067 ((x \ (y \ x)) \ 1) \ 1 = 1 / T(y,x). [para(655(a,1),1057(a,1,1,1))]. given #713 (H,wt=15): 1070 ((x \ 1) \ y) \ 1 = (y \ 1) * (1 / x). [para(1057(a,1),257(a,1,2)),flip(a)]. given #714 (H,wt=15): 1073 1 / (1 / (x * y)) = (y \ (x \ 1)) \ 1. [para(123(a,1),1058(a,2,1))]. given #715 (H,wt=15): 1074 x / (1 / (1 / y)) = (1 / x) \ (y \ 1). [para(1058(a,2),317(a,1,2))]. given #716 (H,wt=15): 1078 1 / ((x \ 1) * y) = ((y \ 1) \ 1) \ x. [para(1058(a,1),345(a,2,1))]. given #717 (H,wt=15): 1079 ((x \ 1) \ 1) * (1 / y) = 1 / (y / x). [para(1058(a,1),351(a,1,1))]. given #718 (H,wt=15): 1082 x \ (y * T(y,z)) = (x \ y) * T(y,z). [hyper(78,a,981,a)]. given #719 (H,wt=15): 1092 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1085(a,1),922(a,2,2))]. given #720 (H,wt=15): 1099 (x \ y) \ ((x \ y) / x) = (y * x) \ y. [hyper(78,a,998,a)]. given #721 (H,wt=15): 1100 (x / y) / (1 / y) = (y * (1 / x)) \ y. [hyper(73,a,339,a(flip),b,1003,a)]. given #722 (H,wt=15): 1101 (x \ y) \ (1 / x) = (y \ x) * (1 / x). [para(14(a,1),1003(a,1,1,1)),flip(a)]. given #723 (H,wt=15): 1105 (x * y) * (y \ 1) != z | L(x,y,y) = z. [para(960(a,1),1037(a,1))]. given #724 (H,wt=14): 1135 R(x,y,y \ 1) != z | L(x,y,y) = z. [para(184(a,1),1105(a,1))]. given #725 (H,wt=15): 1117 ((x \ 1) \ 1) \ (1 / y) = 1 / (y * x). [hyper(227,a,325,a(flip),b,1061,a)]. given #726 (H,wt=15): 1120 1 / (x * (1 / y)) = (y \ 1) \ (1 / x). [hyper(321,a,1065,a),flip(a)]. given #727 (H,wt=15): 1126 (1 / (1 / x)) \ y = ((x \ 1) \ 1) \ y. [hyper(227,a,345,a(flip),b,1078,a(flip)),flip(a)]. given #728 (H,wt=15): 1129 1 / (x / (1 / y)) = (y \ 1) * (1 / x). [para(65(a,1),1079(a,1,1,1)),flip(a)]. given #729 (H,wt=15): 1132 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [para(1092(a,1),65(a,1,1))]. given #730 (H,wt=15): 1133 (x * (1 / (y * x))) \ x = y / (1 / x). [para(15(a,1),1100(a,1,1)),flip(a)]. given #731 (H,wt=15): 1136 T(T(x,y),y \ 1) != z | L(x,y,y) = z. [para(679(a,2),1105(a,1))]. given #732 (H,wt=15): 1139 1 / (x / (1 / y)) = ((x \ 1) \ y) \ 1. [hyper(227,a,1070,a,b,1129,a)]. given #733 (H,wt=15): 1140 x / (y / (1 / x)) = x * (1 / (y * x)). [para(1133(a,1),62(a,1,2))]. given #734 (H,wt=13): 1146 x / (1 / (1 / x)) = x * (1 / x). [para(11(a,1),1140(a,2,2,2))]. given #735 (H,wt=13): 1148 x / (1 / (1 / x)) = K(x,1 / x). [hyper(227,a,235,a,b,1146,a)]. given #736 (H,wt=13): 1149 K(x,1 / x) * (1 / (1 / x)) = x. [para(1148(a,1),16(a,1,1))]. given #737 (H,wt=12): 1150 L(x,1 / x,x) = 1 / (1 / x). [hyper(17,a,612,a,b,1149,a),flip(a)]. given #738 (H,wt=15): 1142 (1 / (x * y)) \ y = (x / (1 / y)) * y. [para(1133(a,1),950(a,1,1)),flip(a)]. given #739 (H,wt=15): 1144 (1 / x) * (x * y) != z | L(y,x,x) = z. [para(821(a,1),1136(a,1))]. given #740 (H,wt=14): 1152 L(x,y,1 / y) != z | L(x,y,y) = z. [para(402(a,1),1144(a,1))]. given #741 (H,wt=16): 977 (x \ y) \ x != x * z | T(y \ x,x) = z. [para(961(a,2),167(a,2)),flip(a)]. given #742 (H,wt=16): 983 (1 / x) \ (y * y) != z * (y * y) | z = x. [para(959(a,2),20(a,2)),flip(a)]. given #743 (H,wt=16): 1018 x * ((1 / x) \ y) != z | (x * x) * y = z. [para(1013(a,1),205(a,1,2)),flip(b)]. given #744 (H,wt=16): 1026 (1 / x) \ L(y,z,z) = x / ((z * y) \ z). [para(1021(a,1),342(a,1,2))]. given #745 (H,wt=16): 1036 1 / (x * L(y,z,z)) = (z \ (z / y)) / x. [para(1031(a,1),263(a,1,2,2))]. given #746 (H,wt=16): 1046 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1043(a,2),331(a,1))]. given #747 (H,wt=16): 1097 T(x,y) \ x != z | (1 / T(x,y)) * x = z. [para(1094(a,1),316(a,1))]. given #748 (H,wt=16): 1151 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1150(a,1),40(a,2,1))]. given #749 (H,wt=16): 1153 x / T(x,y) != z | (1 / T(x,y)) * x = z. [para(1085(a,2),1097(a,1))]. given #750 (H,wt=17): 400 L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. [para(28(a,2),211(a,1)),flip(b)]. given #751 (H,wt=17): 404 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),212(a,1)),flip(b)]. given #752 (H,wt=15): 1154 L(x,y,y) != z | (1 / y) * (y * x) = z. [para(1024(a,1),404(a,1))]. given #753 (H,wt=17): 405 R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. [para(30(a,2),216(a,1)),flip(b)]. given #754 (H,wt=17): 428 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),175(a,1,2,1))]. given #755 (H,wt=17): 447 (x * L(x,y,z)) \ 1 = x \ (L(x,y,z) \ 1). [para(264(a,1),251(a,1,1)),flip(a)]. given #756 (H,wt=17): 453 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(72,a,425,a(flip),b,48,a),flip(a)]. given #757 (H,wt=17): 454 T(T(x,y),z) \ (y \ 1) = y \ (T(x,z) \ 1). [para(38(a,1),446(a,1,1))]. given #758 (H,wt=17): 456 (x * y) * L(z,y,x) != x * u | y * z = u. [para(28(a,2),79(a,1,2)),flip(b)]. given #759 (H,wt=17): 464 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(100(a,1),19(a,1)),flip(a)]. given #760 (H,wt=17): 474 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(100(a,1),282(a,1,2)),flip(b)]. given #761 (H,wt=17): 475 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(100(a,1),148(a,1))]. given #762 (H,wt=17): 476 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(100(a,1),149(a,1))]. given #763 (H,wt=14): 1162 L(x,y,y) != z | L(x,y,1 / y) = z. [para(1021(a,1),476(a,1))]. given #764 (H,wt=17): 488 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(102(a,2),211(a,1)),flip(b)]. given #765 (H,wt=17): 495 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(109(a,1),20(a,1))]. given #766 (H,wt=17): 496 R(x,y,z) * (y * z) != u * z | x * y = u. [para(109(a,2),20(a,1))]. given #767 (H,wt=17): 506 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(109(a,1),293(a,1,1)),flip(b)]. given #768 (H,wt=17): 507 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(109(a,2),293(a,1,1)),flip(b)]. given #769 (H,wt=17): 508 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(109(a,1),150(a,1)),flip(b)]. given #770 (H,wt=14): 1167 L(x,y,y) != z | R(x,y,y \ 1) = z. [para(1028(a,1),508(a,1))]. given #771 (H,wt=17): 519 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(110(a,2),216(a,1)),flip(b)]. given #772 (H,wt=17): 560 L((x \ y) \ 1,x \ y,x) != z | y \ x = z. [para(156(a,2),304(a,1))]. given #773 (H,wt=17): 594 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(402(a,1),282(a,1,2)),flip(b)]. given #774 (H,wt=17): 595 R((x / y) / z,z,y) != u | x / (z * y) = u. [para(110(a,2),409(a,1))]. given #775 (H,wt=17): 596 (x * (1 / y)) \ x != z | L(y,1 / y,x) = z. [para(411(a,1),281(a,1,1)),flip(b)]. given #776 (H,wt=17): 597 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(414(a,1),292(a,1,2)),flip(b)]. given #777 (H,wt=17): 604 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(459(a,1),281(a,1,1)),flip(b)]. given #778 (H,wt=17): 617 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(612(a,1),19(a,1)),flip(a)]. given #779 (H,wt=17): 627 T(((1 / x) * y) \ z,y \ x) = z * (y \ x). [para(313(a,1),621(a,1,1,1))]. given #780 (H,wt=17): 633 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(73,a,188,a(flip),b,625,a(flip)),flip(a)]. given #781 (H,wt=17): 646 x * T((1 / y) * x,z) = T(x / y,z) * x. [para(629(a,1),175(a,1,2,1))]. given #782 (H,wt=17): 652 T(T((1 / x) * y,z),x) = T(x \ T(y,x),z). [para(631(a,1),178(a,1,1,1))]. given #783 (H,wt=17): 669 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(188(a,1),659(a,1,2,1))]. given #784 (H,wt=17): 670 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(192(a,1),659(a,1,2,1))]. given #785 (H,wt=17): 671 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(437(a,1),659(a,1,2,1))]. given #786 (H,wt=17): 672 x * ((x \ (1 / y)) \ 1) = (1 / (x * y)) \ x. [para(346(a,1),659(a,1,2,1))]. given #787 (H,wt=17): 675 x * (((1 / y) * z) * x) = (x / (z \ y)) * x. [para(313(a,1),624(a,1,2,1))]. given #788 (H,wt=15): 1173 (x / (y \ z)) * x = (x / z) * (y * x). [hyper(227,a,352,a(flip),b,675,a(flip))]. given #789 (H,wt=15): 1174 ((x / y) * (z * x)) / x = x / (z \ y). [hyper(73,a,352,a(flip),b,675,a(flip))]. given #790 (H,wt=15): 1175 (x * (y * z)) / z = z / (y \ (x \ z)). [hyper(73,a,133,a(flip),b,1173,a)]. given #791 (H,wt=15): 1176 (x / (y * z)) * (y * x) = (x / z) * x. [para(13(a,1),1173(a,1,1,2)),flip(a)]. given #792 (H,wt=13): 1181 x / ((1 / x) * y) = (x / y) * x. [hyper(153,a,1176,a)]. given #793 (H,wt=13): 1185 ((x / y) * x) \ x = (1 / x) * y. [para(1181(a,1),65(a,1,1))]. given #794 (H,wt=13): 1187 (x / (x / y)) * x = x / (1 / y). [para(337(a,1),1181(a,1,2)),flip(a)]. given #795 (H,wt=13): 1190 (1 / x) * (y \ x) = (y * x) \ x. [para(62(a,1),1185(a,1,1,1)),flip(a)]. given #796 (H,wt=11): 1193 T(x \ 1,y) = (x * y) \ y. [hyper(227,a,794,a(flip),b,1190,a(flip)),flip(a)]. given #797 (H,wt=11): 1195 T((x / y) \ 1,y) = x \ y. [para(16(a,1),1193(a,2,1))]. given #798 (H,wt=11): 1196 x / T(y \ 1,x) = y * x. [para(1193(a,2),62(a,1,2))]. given #799 (H,wt=11): 1197 T(x,y) = ((1 / x) * y) \ y. [para(65(a,1),1193(a,1,1))]. given #800 (H,wt=11): 1201 T(x * (y \ 1),x) = y \ x. [para(125(a,1),1195(a,1,1))]. given #801 (H,wt=11): 1202 x / T(y,x) = (1 / y) * x. [para(65(a,1),1196(a,1,2,1))]. given #802 (H,wt=11): 1208 T(x,y) = (1 / (y \ x)) \ y. [para(313(a,2),1197(a,2,1))]. given #803 (H,wt=11): 1209 T(x * y,x) = (1 / y) \ x. [para(335(a,1),1197(a,2,1))]. given #804 (H,wt=11): 1210 (T(x,y) / y) \ x = T(y,x). [para(631(a,2),1197(a,2,1)),flip(a)]. given #805 (H,wt=11): 1221 T(x,y) \ y = T(x \ y,y). [para(659(a,1),1201(a,1,1)),flip(a)]. given #806 (H,wt=11): 1222 T(x,y) / y = x / T(y,x). [hyper(227,a,631,a,b,1202,a),flip(a)]. given #807 (H,wt=11): 1223 x / T(y,x) = T(x / y,x). [hyper(227,a,629,a,b,1202,a)]. given #808 (H,wt=11): 1227 (x / T(y,x)) * y = T(x,y). [para(1202(a,2),625(a,2,1)),flip(a)]. given #809 (H,wt=11): 1229 T(x,y) = (y \ x) / (y \ 1). [hyper(227,a,317,a,b,1208,a)]. given #810 (H,wt=11): 1231 T(x * y,x) = y / (x \ 1). [hyper(227,a,317,a,b,1209,a)]. given #811 (H,wt=11): 1233 T(x * y,x) \ y = x \ 1. [para(1209(a,2),279(a,1,1))]. given #812 (H,wt=11): 1237 T(T(x * y,x),y) = x * y. [para(1209(a,2),621(a,1,1))]. given #813 (H,wt=11): 1240 T(x,y) \ y = x \ T(y,x). [hyper(227,a,771,a(flip),b,1221,a)]. given #814 (H,wt=11): 1241 x * (T(x,y) \ y) = T(y,x). [para(1221(a,2),770(a,1,2))]. given #815 (H,wt=11): 1244 T(x,y) * (y \ 1) = y \ x. [para(1229(a,2),16(a,1,1))]. given #816 (H,wt=11): 1252 T(x,y) * (x \ T(y,x)) = y. [para(1240(a,1),14(a,1,2))]. given #817 (H,wt=11): 1253 T(x,y) / (T(y,x) \ x) = y. [para(1240(a,2),62(a,1,2))]. given #818 (H,wt=13): 1199 (1 / x) \ (y \ x) = (y / x) \ x. [hyper(72,a,1195,a(flip),b,794,a)]. given #819 (H,wt=13): 1200 ((x / y) \ 1) * y = y * (x \ y). [para(1195(a,1),113(a,1,2)),flip(a)]. given #820 (H,wt=13): 1215 (x * (y \ 1)) * x = x * (y \ x). [para(1201(a,1),113(a,1,2)),flip(a)]. given #821 (H,wt=13): 1216 (x * (y \ x)) / x = x * (y \ 1). [para(1201(a,1),161(a,1,1,2))]. given #822 (H,wt=13): 1224 (1 / (x / y)) * y = y / (y \ x). [para(115(a,1),1202(a,1,2)),flip(a)]. given #823 (H,wt=13): 1232 x * ((1 / y) \ x) = (x * y) * x. [para(1209(a,1),113(a,1,2))]. given #824 (H,wt=13): 1236 T(x * y,x) * y = y * (x * y). [para(1209(a,2),619(a,1,1))]. given #825 (H,wt=13): 1246 x * (y / (x \ 1)) = (x * y) * x. [para(1231(a,1),113(a,1,2))]. given #826 (H,wt=13): 1248 (x * (y / (x \ 1))) / x = x * y. [para(1231(a,1),161(a,1,1,2))]. given #827 (H,wt=13): 1254 T(x / T(y,x),y) = T(y,x) \ x. [hyper(166,a,1227,a,b,1241,a)]. given #828 (H,wt=13): 1256 T(x,1 / y) * y = (1 / y) \ x. [para(65(a,1),1244(a,1,2))]. given #829 (H,wt=13): 1257 (x \ y) * (x \ 1) = x \ (y / x). [para(115(a,1),1244(a,1,1))]. given #830 (H,wt=13): 1258 x \ ((x * y) / x) = y * (x \ 1). [para(160(a,1),1244(a,1,1)),flip(a)]. given #831 (H,wt=13): 1270 x * ((x / y) \ 1) = (x * y) / x. [para(65(a,1),1216(a,1,1,2)),flip(a)]. given #832 (H,wt=13): 1272 1 / (x \ (y / x)) = x / (x \ y). [hyper(577,a,1224,a)]. given #833 (H,wt=13): 1278 x * (y * (x \ 1)) = (x * y) / x. [para(15(a,1),1248(a,1,1,2)),flip(a)]. given #834 (H,wt=13): 1288 1 / ((x * y) / x) = (x / y) / x. [para(1270(a,1),263(a,1,2))]. given #835 (H,wt=13): 1290 1 / (x \ (1 / x)) = (1 / x) \ x. [hyper(227,a,317,a(flip),b,1272,a)]. given #836 (H,wt=14): 1203 (x * y) \ y != z | T(x \ 1,y) = z. [para(1196(a,1),281(a,1,1)),flip(b)]. given #837 (H,wt=14): 1207 x / T(y,x) != z | (1 / y) * x = z. [para(1197(a,2),292(a,1,2)),flip(b)]. given #838 (H,wt=14): 1212 L(x,y,y) \ (y * x) = T(y,y * x). [para(1021(a,1),1197(a,2,1)),flip(a)]. given #839 (H,wt=14): 1213 R(x \ 1,y,y \ 1) = (x \ y) / y. [hyper(73,a,1201,a(flip),b,822,a),flip(a)]. given #840 (H,wt=12): 1300 L(x \ 1,y,y) = (x \ y) / y. [hyper(1135,a,1213,a)]. given #841 (H,wt=12): 1301 L(x \ 1,y,y) = (y * x) \ y. [hyper(227,a,967,a(flip),b,1300,a)]. given #842 (H,wt=12): 1302 ((1 / x) \ y) / y = L(x,y,y). [para(65(a,1),1300(a,1,1)),flip(a)]. given #843 (H,wt=12): 1305 (x * (1 / y)) \ x = L(y,x,x). [para(65(a,1),1301(a,1,1)),flip(a)]. given #844 (H,wt=12): 1306 L(x,y,y) * y = (1 / x) \ y. [para(1302(a,1),16(a,1,1))]. given #845 (H,wt=12): 1313 (x / y) / (1 / y) = L(x,y,y). [hyper(227,a,1100,a,b,1305,a(flip)),flip(a)]. given #846 (H,wt=12): 1314 L(x * y,y,y) = x / (1 / y). [hyper(227,a,1133,a(flip),b,1305,a(flip))]. given #847 (H,wt=12): 1315 x / L(y,x,x) = x * (1 / y). [para(1305(a,1),62(a,1,2))]. given #848 (H,wt=12): 1318 L(x,y,y) * (1 / y) = x / y. [para(1313(a,1),16(a,1,1))]. given #849 (H,wt=14): 1226 ((1 / x) * y) \ y != z | T(x,y) = z. [para(1202(a,1),281(a,1,1)),flip(b)]. given #850 (H,wt=14): 1230 T(x,y) != z | (y \ x) / (y \ 1) = z. [para(1208(a,2),580(a,1))]. given #851 (H,wt=14): 1235 T(x * y,x) != z | y / (x \ 1) = z. [para(1209(a,2),580(a,1))]. given #852 (H,wt=14): 1239 T(T(x * y,x),y) != z | x * y = z. [para(1209(a,2),641(a,1,1))]. given #853 (H,wt=14): 1242 (x / T(y,x)) * y != z | T(x,y) = z. [para(1222(a,1),207(a,1,1)),flip(b)]. given #854 (H,wt=14): 1249 T(x * (y \ 1),x) != z | y \ x = z. [para(1231(a,2),300(a,1))]. given #855 (H,wt=14): 1250 T(x * y,x) != z | (1 / y) \ x = z. [para(1231(a,2),334(a,1))]. given #856 (H,wt=14): 1251 x / (y \ 1) != z | T(y * x,y) = z. [para(1233(a,1),292(a,1,2)),flip(b)]. given #857 (H,wt=14): 1255 x \ y != z * (x \ 1) | T(y,x) = z. [para(1244(a,1),20(a,1))]. given #858 (H,wt=14): 1264 T(x,y) \ y != z | x \ T(y,x) = z. [para(1252(a,1),282(a,1,2)),flip(b)]. given #859 (H,wt=14): 1311 (x / (x \ y)) / x = L(x / y,x,x). [para(796(a,1),1302(a,1,1))]. given #860 (H,wt=14): 1317 L(T(x,y),y,y) = y \ ((1 / x) \ y). [hyper(72,a,1306,a(flip),b,176,a),flip(a)]. given #861 (H,wt=14): 1320 L(x * y,y,1 / y) = x / (1 / y). [hyper(1162,a,1314,a)]. given #862 (H,wt=14): 1330 T(x \ y,y) != z | x \ T(y,x) = z. [para(1221(a,1),1264(a,1))]. given #863 (H,wt=15): 1182 (x * y) / (z * y) = y / (z * (x \ y)). [hyper(73,a,133,a(flip),b,1176,a)]. given #864 (H,wt=14): 1332 R(x,y,z) = z / (y * ((x * y) \ z)). [hyper(506,a,1182,a)]. given #865 (H,wt=15): 1183 (x / ((y / x) * z)) * y = (x / z) * x. [para(16(a,1),1176(a,1,2))]. given #866 (H,wt=15): 1192 x \ (x / (1 / y)) = (1 / (x / y)) * x. [hyper(72,a,1187,a(flip),b,624,a)]. given #867 (H,wt=15): 1194 T(x \ 1,y) * z = ((x * y) \ y) * z. [hyper(22,a,1193,a)]. given #868 (H,wt=15): 1198 T(x * (y \ 1),z) = ((y / x) * z) \ z. [para(125(a,1),1193(a,1,1))]. given #869 (H,wt=13): 1335 T(x * (y \ 1),y) = (1 / y) * x. [hyper(227,a,1185,a(flip),b,1198,a)]. given #870 (H,wt=15): 1211 ((x \ (x \ 1)) * y) \ y = T(x * x,y). [para(986(a,1),1197(a,2,1,1)),flip(a)]. given #871 (H,wt=13): 1338 ((x * x) \ y) \ y = T(x * x,y). [para(990(a,1),1211(a,1,1))]. given #872 (H,wt=15): 1214 T(T(x * (y \ 1),z),x) = T(y \ x,z). [para(1201(a,1),38(a,1,1)),flip(a)]. given #873 (H,wt=13): 1339 T(x \ y,x) = T((1 / x) * y,y). [para(1335(a,1),1214(a,1,1)),flip(a)]. given #874 (H,wt=15): 1217 T(x * (y \ (z \ 1)),x) = (z * y) \ x. [para(123(a,1),1201(a,1,1,2))]. given #875 (H,wt=15): 1218 T(x * (y * (z \ 1)),x) = (z / y) \ x. [para(125(a,1),1201(a,1,1,2))]. given #876 (H,wt=15): 1220 (x * (y \ 1)) \ x = x * ((y \ x) \ 1). [para(1201(a,1),659(a,1,2,1)),flip(a)]. given #877 (H,wt=15): 1228 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(728(a,1),1202(a,1,2)),flip(a)]. given #878 (H,wt=15): 1238 x * (((1 / y) \ x) \ 1) = (x * y) \ x. [para(1209(a,1),659(a,1,2,1))]. given #879 (H,wt=15): 1245 (x \ 1) \ (x \ y) = T(T(y,x),x \ 1). [para(1229(a,2),115(a,1,1)),flip(a)]. given #880 (H,wt=12): 1346 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(227,a,1023,a(flip),b,1245,a)]. given #881 (H,wt=12): 1348 L(x * y,x,x) = (x \ 1) \ y. [para(13(a,1),1346(a,1,2)),flip(a)]. given #882 (H,wt=12): 1349 (x \ 1) * L(y,x,x) = x \ y. [para(1346(a,1),14(a,1,2))]. given #883 (H,wt=14): 1347 (x \ 1) \ (x \ y) = L(y,x,1 / x). [hyper(227,a,1024,a,b,1346,a)]. given #884 (H,wt=15): 1247 T(T(x * y,x),x \ 1) = (x \ 1) \ y. [para(1231(a,2),115(a,1,1))]. given #885 (H,wt=15): 1259 (x \ 1) \ (T(y,x) \ 1) = (x \ y) \ 1. [para(1244(a,1),123(a,1,1)),flip(a)]. given #886 (H,wt=15): 1261 x \ ((1 / x) \ y) = (y * x) * (x \ 1). [para(621(a,1),1244(a,1,1)),flip(a)]. given #887 (H,wt=12): 1364 x \ ((1 / x) \ y) = L(y,x,x). [hyper(227,a,1028,a(flip),b,1261,a)]. given #888 (H,wt=12): 1368 x * L(y,x,x) = (1 / x) \ y. [para(1364(a,1),14(a,1,2))]. given #889 (H,wt=12): 1370 x \ (x / (y \ 1)) = L(y,x,x). [para(317(a,2),1364(a,1,2))]. given #890 (H,wt=12): 1371 L(1 / x,y,y) = y \ (y / x). [para(339(a,1),1364(a,1,2)),flip(a)]. given #891 (H,wt=14): 1366 x \ ((1 / x) \ y) = L(y,x,1 / x). [hyper(227,a,1024,a,b,1364,a)]. given #892 (H,wt=14): 1369 ((1 / x) \ y) * 1 = x * L(y,x,x). [para(1364(a,1),202(a,1,2)),flip(a)]. given #893 (H,wt=12): 1379 (x * (1 / y)) * y = L(x,y,y). [hyper(17,a,121,a,b,1369,a(flip)),flip(a)]. given #894 (H,wt=12): 1380 L(x / (1 / y),y,y) = x * y. [hyper(306,a,1379,a),flip(a)]. given #895 (H,wt=12): 1381 L(x,y,y) / y = x * (1 / y). [hyper(85,a,1379,a)]. given #896 (H,wt=9): 1386 L(L(x,y,y),y,y) = x. [hyper(18,a,1318,a,b,1381,a(flip)),flip(a)]. given #897 (H,wt=12): 1387 L((x \ 1) \ y,x,x) = x * y. [para(1348(a,1),1386(a,1,1))]. given #898 (H,wt=12): 1388 x \ L(y,x,x) = (x \ 1) * y. [para(1386(a,1),1349(a,1,2)),flip(a)]. given #899 (H,wt=12): 1389 x * ((x \ 1) * y) = L(y,x,x). [para(13(a,1),1387(a,1,1)),flip(a)]. given #900 (H,wt=11): 1392 L(x,y \ 1,y) = L(x,y,y). [hyper(475,a,1389,a)]. given #901 (H,wt=13): 1395 T(x * (1 / y),y) = (y \ 1) * x. [hyper(166,a,1379,a,b,1389,a)]. given #902 (H,wt=14): 1377 L(1 / x,y,1 / y) = y \ (y / x). [hyper(1162,a,1371,a)]. given #903 (H,wt=14): 1378 L(x,y,1 / y) \ y = (x \ 1) * y. [para(1366(a,1),976(a,1,1))]. given #904 (H,wt=14): 1400 L(x,y,y) != z | L(x,y \ 1,y) = z. [para(1389(a,1),475(a,1))]. given #905 (H,wt=14): 1401 (x \ (x / y)) \ 1 = L(y,x \ 1,x). [hyper(227,a,1031,a,b,1392,a),flip(a)]. given #906 (H,wt=14): 1407 L(x,y \ 1,y) != z | L(x,y,y) = z. [para(1401(a,1),1037(a,1))]. given #907 (H,wt=15): 1262 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [para(728(a,1),1244(a,1,1))]. given #908 (H,wt=15): 1267 (x * ((y \ x) \ 1)) * x = (y \ 1) \ x. [hyper(227,a,784,a(flip),b,1215,a)]. given #909 (H,wt=15): 1275 ((1 / x) * (y \ 1)) \ y = (y * x) * y. [hyper(227,a,780,a,b,1232,a(flip)),flip(a)]. given #910 (H,wt=15): 1276 (x * T(y,x \ 1)) * x = x * (x * y). [para(692(a,1),1232(a,1,2)),flip(a)]. given #911 (H,wt=15): 1285 T(x \ (y / x),x \ y) = x \ (x \ y). [para(1257(a,1),1201(a,1,1))]. given #912 (H,wt=15): 1286 ((x * y) / x) \ x = y \ ((y * x) / y). [hyper(227,a,666,a,b,1258,a),flip(a)]. given #913 (H,wt=15): 1303 L(x \ 1,y,y) != z | (y * x) \ y = z. [para(1300(a,2),971(a,1))]. given #914 (H,wt=15): 1307 L(x,y,y) * y != z | (1 / x) \ y = z. [para(1302(a,1),207(a,1,1)),flip(b)]. given #915 (H,wt=15): 1312 L(x,y,y) != z | (y * (1 / x)) \ y = z. [para(1302(a,1),971(a,1))]. given #916 (H,wt=15): 1316 x / L(y,x,x) != z | x * (1 / y) = z. [para(1305(a,1),292(a,1,2)),flip(b)]. given #917 (H,wt=15): 1321 T(T(x * y,y),y \ 1) = x / (1 / y). [hyper(227,a,1023,a,b,1314,a(flip)),flip(a)]. given #918 (H,wt=15): 1322 (x * (1 / y)) \ x != z | L(y,x,x) = z. [para(1315(a,1),281(a,1,1)),flip(b)]. given #919 (H,wt=15): 1323 x / y != z * (1 / y) | L(x,y,y) = z. [para(1318(a,1),20(a,1))]. given #920 (H,wt=15): 1325 (x / y) / (1 / y) != z | L(x,y,y) = z. [para(1318(a,1),293(a,1,1)),flip(b)]. given #921 (H,wt=15): 1326 ((1 / x) * y) * (1 / x) = (x \ y) / x. [para(1020(a,1),1318(a,1,1))]. given #922 (H,wt=15): 1334 ((x / y) * x) / z = x / ((z / x) * y). [hyper(85,a,1183,a)]. given #923 (H,wt=15): 1336 T(x * (y \ 1),y) = x * T(1 / y,x). [hyper(227,a,113,a,b,1335,a)]. given #924 (H,wt=15): 1342 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(85,a,1228,a)]. given #925 (H,wt=15): 1345 x * ((x \ 1) * (y \ 1)) = (x * y) \ x. [para(333(a,1),1238(a,1,2))]. given #926 (H,wt=15): 1350 (x \ 1) * L(y,x,x) != z | x \ y = z. [para(1346(a,1),205(a,1,2)),flip(b)]. given #927 (H,wt=15): 1352 (x * (1 / (x * y))) \ x = (x \ 1) \ y. [hyper(227,a,1305,a,b,1348,a(flip)),flip(a)]. given #928 (H,wt=15): 1353 (1 / x) \ ((x \ 1) \ y) = x * (x * y). [hyper(72,a,1348,a(flip),b,1021,a)]. given #929 (H,wt=15): 1355 (1 / (x * y)) \ x = ((x \ 1) \ y) * x. [para(1348(a,1),1306(a,1,1)),flip(a)]. given #930 (H,wt=15): 1356 ((x \ 1) \ y) * (1 / x) = (x * y) / x. [para(1348(a,1),1318(a,1,1))]. given #931 (H,wt=13): 1423 (x \ 1) \ T(y,x) = y / (1 / x). [hyper(73,a,161,a(flip),b,1356,a),flip(a)]. given #932 (H,wt=15): 1357 x \ y != (x \ 1) * z | L(y,x,x) = z. [para(1349(a,1),19(a,1))]. given #933 (H,wt=15): 1360 (x \ 1) * ((1 / x) * y) = x \ (x \ y). [para(1020(a,1),1349(a,1,2))]. given #934 (H,wt=15): 1361 (x \ 1) * (y * (x \ 1)) = x \ (y / x). [para(1030(a,1),1349(a,1,2))]. given #935 (H,wt=15): 1362 (x \ 1) * ((y \ x) / x) = x \ (y \ 1). [para(1300(a,1),1349(a,1,2))]. given #936 (H,wt=15): 1363 (x \ 1) * ((x * y) \ x) = x \ (y \ 1). [para(1301(a,1),1349(a,1,2))]. given #937 (H,wt=15): 1365 x \ ((1 / x) \ y) != z | L(y,x,x) = z. [para(1261(a,2),1105(a,1))]. given #938 (H,wt=15): 1367 x \ ((1 / x) \ (y \ 1)) = (x * y) \ x. [hyper(227,a,1301,a(flip),b,1364,a)]. given #939 (H,wt=15): 1373 (1 / x) \ y != x * z | L(y,x,x) = z. [para(1368(a,1),19(a,1))]. given #940 (H,wt=15): 1374 (1 / x) \ (x \ y) = x * ((1 / x) * y). [para(1020(a,1),1368(a,1,2)),flip(a)]. given #941 (H,wt=15): 1375 (1 / x) \ (y * x) = x * (y / (1 / x)). [para(1314(a,1),1368(a,1,2)),flip(a)]. given #942 (H,wt=15): 1376 (1 / x) \ (x * y) = x * ((x \ 1) \ y). [para(1348(a,1),1368(a,1,2)),flip(a)]. given #943 (H,wt=15): 1382 ((1 / x) * y) / x = (x \ y) * (1 / x). [hyper(73,a,1020,a(flip),b,1379,a)]. given #944 (H,wt=15): 1385 x \ (y / (1 / x)) = (x \ 1) * (y * x). [para(1380(a,1),1349(a,1,2)),flip(a)]. given #945 (H,wt=15): 1390 x * ((x \ 1) * y) != z | L(y,x,x) = z. [para(1388(a,1),205(a,1,2)),flip(b)]. given #946 (H,wt=15): 1391 x \ (y * (x \ 1)) = (x \ 1) * (y / x). [para(1030(a,1),1388(a,1,2))]. given #947 (H,wt=15): 1393 T(T(x,y),y \ 1) = y * ((y \ 1) * x). [hyper(227,a,1023,a,b,1389,a),flip(a)]. given #948 (H,wt=15): 1394 x * ((x \ 1) * (y * x)) = y / (1 / x). [hyper(227,a,1314,a(flip),b,1389,a)]. given #949 (H,wt=15): 1402 L(x,y,y) != z | y * ((y \ 1) * x) = z. [para(1392(a,1),400(a,1))]. given #950 (H,wt=15): 1404 T(x * y,y \ 1) = ((y \ 1) \ 1) * x. [para(62(a,1),1395(a,1,1,2))]. given #951 (H,wt=15): 1405 ((1 / x) * y) \ x = ((x \ y) \ 1) * x. [para(481(a,1),1378(a,1,1))]. given #952 (H,wt=15): 1406 ((x \ y) \ 1) \ x = ((y \ x) \ 1) * x. [para(1038(a,1),1378(a,1,1))]. given #953 (H,wt=15): 1411 T(T(x * y,y \ 1),y) = x / (1 / y). [hyper(439,a,1321,a)]. given #954 (H,wt=13): 1438 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(1239,a,1411,a),flip(a)]. given #955 (H,wt=13): 1439 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(227,a,182,a,b,1438,a)]. given #956 (H,wt=13): 1441 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(321,a,1439,a)]. given #957 (H,wt=13): 1442 K(x \ 1,x) * (1 / x) = x \ 1. [para(1439(a,1),16(a,1,1))]. given #958 (H,wt=13): 1443 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1439(a,1),65(a,1,1))]. given #959 (H,wt=13): 1444 x * K(x \ 1,x) = 1 / (1 / x). [para(1441(a,1),14(a,1,2))]. given #960 (H,wt=15): 1413 (((x / y) * x) / z) \ x = (z / x) * y. [para(1334(a,2),65(a,1,1))]. given #961 (H,wt=15): 1430 T(x * ((1 / x) * y),x) = (x \ y) * x. [para(1374(a,1),621(a,1,1))]. given #962 (H,wt=15): 1431 (x * ((x \ 1) \ y)) \ x = y \ (x \ 1). [para(1376(a,1),332(a,1,1))]. given #963 (H,wt=15): 1432 1 / (x * (y \ x)) = (x \ y) * (1 / x). [hyper(227,a,328,a(flip),b,1382,a(flip)),flip(a)]. given #964 (H,wt=15): 1436 (1 / T(x,y)) \ (y \ 1) = (y \ 1) * x. [hyper(17,a,808,a,b,1393,a(flip)),flip(a)]. given #965 (H,wt=15): 1437 T(x * y,y \ 1) = T(y,y \ 1) * x. [hyper(227,a,244,a,b,1404,a)]. given #966 (H,wt=15): 1452 (1 / ((1 / x) * y)) \ x = (x \ y) * x. [hyper(1250,a,1430,a)]. given #967 (H,wt=15): 1453 ((x \ 1) * y) \ (x \ 1) = (x * y) \ x. [para(13(a,1),1431(a,1,1,2)),flip(a)]. given #968 (H,wt=15): 1454 ((x \ 1) \ y) \ x = (y \ (x \ 1)) * x. [para(1431(a,1),950(a,1,1)),flip(a)]. given #969 (H,wt=15): 1456 (x \ 1) / ((x \ 1) * y) = 1 / T(y,x). [para(1436(a,1),62(a,1,2))]. given #970 (H,wt=15): 1459 (((x \ y) \ 1) \ 1) \ y = (y \ x) * y. [para(1064(a,1),1452(a,1,1))]. given #971 (H,wt=15): 1461 ((x \ 1) \ 1) \ y = (y \ (y / x)) * y. [para(65(a,1),1459(a,1,1,1,1))]. given #972 (H,wt=15): 1462 (x * ((y \ 1) \ 1)) \ x = x \ (x / y). [hyper(969,a,1461,a)]. given #973 (H,wt=15): 1463 x / (x \ (x / y)) = x * ((y \ 1) \ 1). [para(1462(a,1),62(a,1,2))]. given #974 (H,wt=15): 1464 x * (((y \ x) \ 1) \ 1) = x / (x \ y). [para(62(a,1),1463(a,1,2,2)),flip(a)]. given #975 (H,wt=15): 1465 ((x \ y) \ 1) / y = 1 / (y / (y \ x)). [para(1464(a,1),263(a,1,2)),flip(a)]. given #976 (H,wt=15): 1466 1 / (x / (x \ y)) = (y \ x) \ (1 / x). [hyper(321,a,1465,a),flip(a)]. given #977 (H,wt=16): 1186 ((x / y) * x) \ x != z | (1 / x) * y = z. [para(1181(a,1),281(a,1,1)),flip(b)]. given #978 (H,wt=16): 1234 T((1 / x) * y,1 / x) != z | y / x = z. [para(1209(a,2),350(a,1))]. given #979 (H,wt=16): 1243 T(x,y) != y * z | T(x / T(y,x),y) = z. [para(1227(a,1),167(a,2)),flip(a)]. given #980 (H,wt=16): 1273 (x / (x \ y)) / x != z | 1 / (y / x) = z. [para(1224(a,1),293(a,1,1)),flip(b)]. given #981 (H,wt=12): 1468 L(x / y,x,x) = 1 / (y / x). [hyper(1273,a,1311,a),flip(a)]. given #982 (H,wt=15): 1469 L(x / y,x,x) != z | 1 / (y / x) = z. [para(1311(a,1),1273(a,1))]. given #983 (H,wt=16): 1279 (1 / x) \ y != z * x | T(y,1 / x) = z. [para(1256(a,1),20(a,1))]. given #984 (H,wt=16): 1283 1 / (x \ (y / x)) != z | x / (x \ y) = z. [para(1257(a,1),298(a,1,2))]. given #985 (H,wt=16): 1287 x * (y * (x \ 1)) != z | (x * y) / x = z. [para(1258(a,1),205(a,1,2)),flip(b)]. given #986 (H,wt=16): 1289 1 / ((x * y) / x) != z | (x / y) / x = z. [para(1270(a,1),298(a,1,2))]. given #987 (H,wt=16): 1293 (x * y) / x != x * z | y * (x \ 1) = z. [para(1278(a,1),19(a,1))]. given #988 (H,wt=16): 1295 x \ ((x * y) / x) != z | y * (x \ 1) = z. [para(1278(a,1),282(a,1,2)),flip(b)]. given #989 (H,wt=16): 1296 (1 / x) * (y \ x) != z | T(y \ 1,x) = z. [para(1190(a,2),1203(a,1))]. given #990 (H,wt=16): 1297 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(186(a,1),1207(a,1,2))]. given #991 (H,wt=16): 1308 L(x,1 / y,1 / y) = (x / y) / (1 / y). [para(339(a,1),1302(a,1,1)),flip(a)]. given #992 (H,wt=13): 1470 L(x,1 / y,1 / y) = L(x,y,y). [hyper(227,a,1313,a(flip),b,1308,a)]. given #993 (H,wt=16): 1399 L(T(x,x \ 1),y,y) = y * ((x \ y) \ 1). [para(749(a,1),1389(a,1,2)),flip(a)]. given #994 (H,wt=16): 1415 T(x * (y \ 1),y) != z | (1 / y) * x = z. [para(1336(a,2),210(a,1))]. given #995 (H,wt=16): 1440 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1438(a,2),331(a,1))]. given #996 (H,wt=16): 1445 x * K(x \ 1,x) != y | 1 / (1 / x) = y. [para(1441(a,1),205(a,1,2)),flip(b)]. given #997 (H,wt=16): 1450 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(1444(a,1),19(a,1))]. given #998 (H,wt=16): 1471 L(x,1 / y,1 / y) != z | L(x,y,y) = z. [para(1308(a,2),1325(a,1))]. given #999 (H,wt=17): 682 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(196,a,636,a),flip(a)]. given #1000 (H,wt=17): 685 (x \ 1) \ T(y,x \ 1) = T(x * y,x \ 1). [hyper(196,a,639,a),flip(a)]. given #1001 (H,wt=17): 698 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [para(665(a,1),123(a,1,1)),flip(a)]. given #1002 (H,wt=17): 708 (x * ((1 / y) * z)) / x = x / (x * (z \ y)). [para(250(a,1),699(a,1,2,2)),flip(a)]. given #1003 (H,wt=17): 713 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),176(a,1,2,1))]. given #1004 (H,wt=17): 715 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),176(a,1,2,1)),flip(a)]. given #1005 (H,wt=16): 1473 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(73,a,377,a(flip),b,715,a)]. given #1006 (H,wt=17): 716 L(T(x,y),z,u) * x = x * L(T(x,y),z,u). [para(131(a,1),176(a,1,2,1)),flip(a)]. given #1007 (H,wt=10): 1474 T(x,L(T(x,y),z,u)) = x. [hyper(167,a,716,a)]. given #1008 (H,wt=17): 717 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(160(a,1),176(a,1,2,1)),flip(a)]. given #1009 (H,wt=17): 723 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),177(a,1,2,1)),flip(a)]. given #1010 (H,wt=17): 724 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(131(a,1),177(a,1,2,1)),flip(a)]. given #1011 (H,wt=10): 1480 T(x,R(T(x,y),z,u)) = x. [hyper(167,a,724,a)]. given #1012 (H,wt=17): 725 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(160(a,1),177(a,1,2,1)),flip(a)]. given #1013 (H,wt=17): 735 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(179(a,1),161(a,1,1,2))]. given #1014 (H,wt=17): 736 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(180(a,1),161(a,1,1,2))]. given #1015 (H,wt=17): 762 (1 / x) \ ((y \ z) / y) = x / ((z / y) \ y). [para(663(a,1),341(a,1,2)),flip(a)]. given #1016 (H,wt=17): 776 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(433(a,2),113(a,1,2))]. given #1017 (H,wt=17): 777 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),433(a,1,1,2)),flip(a)]. given #1018 (H,wt=17): 783 (1 / x) * (y \ (1 / x)) = (y * x) \ (1 / x). [para(65(a,1),780(a,1,1,2)),flip(a)]. given #1019 (H,wt=17): 804 (1 / x) * (1 / (x / y)) = 1 / (x / (x \ y)). [para(796(a,1),313(a,1,2)),flip(a)]. given #1020 (H,wt=17): 807 (1 / L(x,y,z)) \ x = (1 / x) \ L(x,y,z). [para(132(a,1),805(a,1,2)),flip(a)]. given #1021 (H,wt=16): 1498 (1 / x) \ L(x,y,y) = (y \ (y / x)) \ x. [para(1033(a,1),807(a,1,1)),flip(a)]. given #1022 (H,wt=15): 1499 x / ((y * x) \ y) = (y \ (y / x)) \ x. [hyper(227,a,1026,a(flip),b,1498,a(flip)),flip(a)]. given #1023 (H,wt=17): 870 R(1 / (x / y),x / y,y) != z | y / x = z. [para(514(a,2),299(a,1))]. given #1024 (H,wt=17): 902 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(227,a,42,a,b,117,a),flip(a)]. given #1025 (H,wt=17): 903 (x * (y * x)) / (z * x) = (1 / x) \ (y / z). [para(16(a,1),118(a,1,1,2,1))]. given #1026 (H,wt=17): 904 (((1 / x) * y) * z) * x = x \ (y * (z * x)). [hyper(78,a,120,a),flip(a)]. given #1027 (H,wt=17): 914 (1 / (x / (y * y))) \ 1 = (x / y) * (y \ 1). [para(910(a,1),124(a,1,1)),flip(a)]. given #1028 (H,wt=13): 1503 (x / y) * (y \ 1) = x / (y * y). [hyper(281,a,914,a)]. given #1029 (H,wt=17): 918 x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. [hyper(78,a,121,a)]. given #1030 (H,wt=17): 1008 ((x * y) * (x * y)) \ x = 1 / (y * (x * y)). [para(13(a,1),1006(a,1,2,1)),flip(a)]. given #1031 (H,wt=17): 1011 ((x \ 1) * (x \ 1)) \ y = x * ((x \ 1) \ y). [hyper(301,a,1007,a),flip(a)]. given #1032 (H,wt=15): 1511 (x \ (1 / x)) \ y = x * ((x \ 1) \ y). [para(1257(a,1),1011(a,1,1))]. given #1033 (H,wt=17): 1015 (x * x) \ (x \ (x / y)) = 1 / ((y * x) * x). [para(944(a,1),1009(a,1,2))]. given #1034 (H,wt=17): 1059 T(x \ 1,x * y) = ((T(x,y) \ 1) \ 1) \ 1. [hyper(227,a,803,a,b,1057,a),flip(a)]. given #1035 (H,wt=17): 1068 (x * ((y \ 1) \ 1)) / x = x / (x * (1 / y)). [para(1057(a,1),699(a,1,2,2)),flip(a)]. given #1036 (H,wt=17): 1077 x * (((y \ 1) \ 1) * x) = (x / (1 / y)) * x. [para(1058(a,1),624(a,1,2,1))]. given #1037 (H,wt=17): 1103 ((x * y) \ y) * (1 / y) = T(x,y) \ (1 / y). [para(113(a,1),1003(a,1,1,1))]. given #1038 (H,wt=17): 1115 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(65(a,1),1109(a,1,1,1)),flip(a)]. given #1039 (H,wt=15): 1513 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(227,a,1439,a(flip),b,1115,a)]. given #1040 (H,wt=17): 1161 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(182(a,2),475(a,1,2))]. given #1041 (H,wt=12): 1515 L(x,x \ 1,x) = 1 / (1 / x). [hyper(1161,a,1444,a)]. given #1042 (H,wt=17): 1166 T(T(x,y),y \ 1) != z | R(x,y,y \ 1) = z. [para(679(a,2),508(a,1))]. given #1043 (H,wt=17): 1168 x / K(x \ 1,x) != y | R(x,x \ 1,x) = y. [para(182(a,2),597(a,1,2))]. given #1044 (H,wt=17): 1172 x * (y * ((x \ 1) \ 1)) = (1 / (x * y)) \ x. [para(320(a,1),672(a,1,2))]. given #1045 (H,wt=15): 1518 T((x \ 1) \ y,x) = y * ((x \ 1) \ 1). [hyper(166,a,1355,a(flip),b,1172,a)]. given #1046 (H,wt=15): 1519 T((x \ 1) \ y,x) = y * T(x,x \ 1). [hyper(227,a,245,a,b,1518,a)]. given #1047 (H,wt=15): 1520 T((x \ 1) \ (y \ 1),x) = (x \ y) \ 1. [hyper(227,a,257,a(flip),b,1518,a)]. given #1048 (H,wt=17): 1191 ((x / y) * (z * x)) \ x = (1 / x) * (z \ y). [para(1173(a,1),1185(a,1,1))]. given #1049 (H,wt=17): 1206 (((1 / x) * (1 / y)) \ 1) / y = T(x,1 / y). [hyper(227,a,318,a,b,1197,a),flip(a)]. given #1050 (H,wt=17): 1219 x \ ((x * (y \ 1)) \ 1) = (y \ x) \ (x \ 1). [para(1201(a,1),446(a,1,1)),flip(a)]. given #1051 (H,wt=17): 1225 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(189(a,1),1202(a,1,2)),flip(a)]. given #1052 (H,wt=11): 1528 T(1 / (1 / x),x \ 1) = x. [hyper(166,a,1225,a,b,1438,a(flip))]. given #1053 (H,wt=12): 1530 L(T(x,x \ 1),1 / x,x) = x. [hyper(227,a,1151,a,b,1528,a(flip)),flip(a)]. given #1054 (H,wt=15): 1531 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1528(a,1),38(a,1,1)),flip(a)]. given #1055 (H,wt=17): 1265 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),1253(a,1,2,1))]. given #1056 (H,wt=17): 1268 (x * (y * (z \ 1))) * x = x * ((z / y) \ x). [para(125(a,1),1215(a,1,1,2))]. given #1057 (H,wt=17): 1274 (1 / x) \ (y / (y \ z)) = x / (y \ (z / y)). [para(1224(a,1),342(a,1,2))]. given #1058 (H,wt=17): 1280 (x \ (y \ 1)) * (y \ 1) = x \ (y \ (1 / y)). [hyper(72,a,1257,a(flip),b,938,a),flip(a)]. given #1059 (H,wt=17): 1294 ((1 / x) * y) / (1 / x) = (1 / x) * (y * x). [para(65(a,1),1278(a,1,2,2)),flip(a)]. given #1060 (H,wt=17): 1333 x / (y * ((z * y) \ x)) != u | R(z,y,x) = u. [para(1182(a,1),506(a,1))]. given #1061 (H,wt=17): 1337 ((1 / x) * y) * (x \ 1) = x \ (y * (x \ 1)). [para(1335(a,1),1244(a,1,1))]. given #1062 (H,wt=13): 1533 T((1 / x) * y,x \ 1) = y / x. [hyper(166,a,1337,a,b,1391,a(flip))]. given #1063 (H,wt=13): 1535 ((1 / x) \ y) / x = T(y,x \ 1). [para(14(a,1),1533(a,1,1)),flip(a)]. given #1064 (H,wt=13): 1537 T(x,y \ 1) * y = (1 / y) \ x. [para(1535(a,1),16(a,1,1))]. given #1065 (H,wt=11): 1539 T(x,1 / y) = T(x,y \ 1). [hyper(18,a,1256,a,b,1537,a),flip(a)]. given #1066 (H,wt=11): 1543 T(x,(y \ 1) \ 1) = T(x,y). [para(62(a,1),1539(a,1,2)),flip(a)]. given #1067 (H,wt=11): 1544 T(x,1 / (1 / y)) = T(x,y). [para(65(a,1),1539(a,2,2))]. given #1068 (H,wt=13): 1549 x * T(y,(x \ 1) \ 1) = y * x. [para(1543(a,2),113(a,1,2))]. given #1069 (H,wt=15): 1536 (1 / (x / y)) \ y = y * ((1 / y) * x). [para(1533(a,1),692(a,1,1,2))]. given #1070 (H,wt=15): 1541 (1 / (1 / x)) \ y = T(y,x) * (1 / x). [para(65(a,1),1537(a,1,1,2)),flip(a)]. given #1071 (H,wt=15): 1545 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(1539(a,1),113(a,1,2))]. given #1072 (H,wt=15): 1550 T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)). [para(655(a,1),1543(a,1,2,1))]. given #1073 (H,wt=15): 1552 ((x \ 1) \ 1) \ y = T(y,x) * (1 / x). [hyper(227,a,1126,a(flip),b,1541,a(flip)),flip(a)]. given #1074 (H,wt=15): 1555 T(x,x \ 1) \ y = T(y,x) * (1 / x). [hyper(227,a,740,a,b,1552,a(flip)),flip(a)]. given #1075 (H,wt=15): 1556 T(1 / x,y) * (1 / y) = 1 / (x * y). [hyper(227,a,1117,a(flip),b,1552,a(flip))]. given #1076 (H,wt=15): 1558 1 / ((1 / x) * (y * x)) = T(1 / y,x). [hyper(18,a,335,a,b,1556,a),flip(a)]. given #1077 (H,wt=13): 1560 1 / T(x,x * y) = T(1 / x,y). [para(640(a,2),1558(a,1,2))]. given #1078 (H,wt=13): 1561 T(1 / x,x \ y) = 1 / T(x,y). [para(14(a,1),1560(a,1,2,2)),flip(a)]. given #1079 (H,wt=13): 1562 T(x,x * y) = T(1 / x,y) \ 1. [para(1560(a,1),65(a,1,1)),flip(a)]. given #1080 (H,wt=13): 1565 T(x,x * y) = y \ ((1 / x) \ y). [hyper(227,a,655,a(flip),b,1562,a)]. given #1081 (H,wt=12): 1567 T(x,x * y) = L(T(x,y),y,y). [hyper(227,a,1317,a,b,1565,a)]. given #1082 (H,wt=15): 1566 T(x \ 1,(x \ 1) * y) = T(x,y) \ 1. [para(62(a,1),1562(a,2,1,1))]. given #1083 (H,wt=15): 1568 (1 / x) \ (T(y,x) \ 1) = (y \ 1) * x. [hyper(72,a,1566,a(flip),b,640,a(flip))]. given #1084 (H,wt=13): 1570 T(T(x,y) \ 1,y \ 1) = x \ 1. [hyper(18,a,1537,a,b,1568,a(flip)),flip(a)]. given #1085 (H,wt=15): 1569 T((x \ 1) * y,y) = (T(x,y) \ 1) * y. [para(1566(a,1),656(a,1,1)),flip(a)]. given #1086 (H,wt=15): 1572 T((x \ y) \ 1,x \ 1) = (y / x) \ 1. [para(115(a,1),1570(a,1,1,1))]. given #1087 (H,wt=15): 1573 (T(x,y \ 1) \ 1) * y = y * (x \ 1). [para(1570(a,1),1549(a,1,2)),flip(a)]. given #1088 (H,wt=16): 1540 (1 / x) \ y != z * x | T(y,x \ 1) = z. [para(1537(a,1),20(a,1))]. given #1089 (H,wt=16): 1563 T(1 / x,y) \ 1 != z | T(x,x * y) = z. [para(1560(a,1),281(a,1,1)),flip(b)]. given #1090 (H,wt=17): 1351 (x \ 1) \ (x \ y) != z | L(y,x,1 / x) = z. [para(1346(a,2),1162(a,1))]. given #1091 (H,wt=17): 1384 L(x,y,y) != y * z | T(x * (1 / y),y) = z. [para(1379(a,1),167(a,2)),flip(a)]. given #1092 (H,wt=17): 1426 (x \ 1) * (1 / T(x,y)) = x \ (T(x,y) \ 1). [para(1091(a,1),1362(a,1,2))]. given #1093 (H,wt=17): 1428 x \ ((1 / y) \ x) != z | L(T(y,x),x,x) = z. [para(805(a,1),1365(a,1,2))]. given #1094 (H,wt=17): 1433 (x \ (y / x)) * (1 / x) = ((x \ y) / x) / x. [para(637(a,1),1382(a,1,1)),flip(a)]. given #1095 (H,wt=17): 1451 ((x * (1 / y)) / z) \ x = (z / x) * (x * y). [para(676(a,1),1413(a,1,1,1))]. given #1096 (H,wt=17): 1460 ((x \ 1) * (1 / y)) / (x \ 1) = 1 / T(y,x). [hyper(227,a,700,a,b,1456,a(flip)),flip(a)]. given #1097 (H,wt=13): 1578 T(1 / T(x,y),y \ 1) = 1 / x. [para(1460(a,1),160(a,1,1))]. given #1098 (H,wt=17): 1477 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(85,a,717,a),flip(a)]. given #1099 (H,wt=17): 1482 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(85,a,725,a),flip(a)]. given #1100 (H,wt=17): 1490 (1 / x) \ (y \ (1 / y)) = x / ((1 / y) \ y). [para(318(a,1),762(a,1,2))]. given #1101 (H,wt=17): 1502 (x \ (y * (z * x))) / x = ((1 / x) * y) * z. [hyper(85,a,904,a)]. given #1102 (H,wt=17): 1506 (x \ (((1 / x) \ y) * z)) / x = y * (z / x). [hyper(73,a,918,a,b,xx)]. given #1103 (H,wt=17): 1508 ((1 / x) * (y / z)) * z = z \ ((z / x) * y). [para(339(a,1),918(a,1,2,1)),flip(a)]. given #1104 (H,wt=17): 1510 (x * (y * (x * y))) \ x = 1 / (y * (x * y)). [para(940(a,1),1008(a,1,1))]. given #1105 (H,wt=17): 1512 T(x \ 1,y) * (1 / y) = T(x,y) \ (1 / y). [hyper(227,a,1194,a,b,1103,a(flip)),flip(a)]. given #1106 (H,wt=17): 1517 x * (y * ((x \ 1) \ 1)) = ((x \ 1) \ y) * x. [hyper(227,a,1355,a(flip),b,1172,a)]. given #1107 (H,wt=17): 1523 (1 / x) * ((y / x) \ z) = ((x / z) * y) \ x. [para(16(a,1),1191(a,1,1,2)),flip(a)]. given #1108 (H,wt=15): 1594 (1 / x) * ((y / x) \ 1) = (x * y) \ x. [para(60(a,1),1523(a,2,1,1))]. given #1109 (H,wt=17): 1524 (1 / x) * (y \ (z \ x)) = (z * (y * x)) \ x. [para(62(a,1),1191(a,1,1,1)),flip(a)]. given #1110 (H,wt=17): 1526 x \ ((y \ 1) \ (x \ 1)) = (y \ x) \ (x \ 1). [para(123(a,1),1219(a,1,2))]. given #1111 (H,wt=17): 1532 ((1 / x) * y) * (x \ 1) = (x \ 1) * (y / x). [hyper(227,a,1391,a(flip),b,1337,a)]. given #1112 (H,wt=17): 1551 T(x / (1 / (1 / y)),y) = (1 / (1 / y)) \ x. [hyper(408,a,1544,a),flip(a)]. given #1113 (H,wt=17): 1554 (1 / x) * (y * (x \ 1)) = (x \ y) * (1 / x). [para(626(a,1),1545(a,1,2))]. given #1114 (H,wt=17): 1574 (T(x,y) \ 1) * (1 / y) = (1 / y) * (x \ 1). [para(1570(a,1),1545(a,1,2)),flip(a)]. given #1115 (H,wt=17): 1575 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(1570(a,1),1573(a,1,1,1)),flip(a)]. given #1116 (H,wt=15): 1601 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(167,a,1575,a),flip(a)]. given #1117 (H,wt=15): 1602 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(1601(a,1),62(a,1,2))]. given #1118 (H,wt=15): 1603 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(65(a,1),1601(a,2,1,1))]. given #1119 (H,wt=15): 1605 T(((x / y) \ 1) \ 1,x) = (x \ y) \ 1. [para(644(a,1),1601(a,1,1)),flip(a)]. given #1120 (H,wt=15): 1606 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(143(a,1),1602(a,1,2,1)),flip(a)]. given #1121 (H,wt=15): 1609 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(1606(a,1),62(a,1,2))]. given #1122 (H,wt=17): 1577 1 / (T(x,y) / (1 / x)) = x \ (T(x,y) \ 1). [hyper(227,a,1129,a,b,1426,a(flip)),flip(a)]. given #1123 (H,wt=17): 1589 ((1 / x) * y) * (z / x) = (x \ (y * z)) / x. [para(16(a,1),1502(a,1,1,2,2)),flip(a)]. given #1124 (H,wt=17): 1592 (x \ ((x / y) * z)) \ 1 = x \ ((z / x) \ y). [para(1508(a,1),314(a,1,1))]. given #1125 (H,wt=17): 1595 (((x / y) * z) \ x) \ 1 = ((z / x) \ y) \ x. [para(1523(a,1),250(a,1,1))]. given #1126 (H,wt=17): 1596 ((1 / x) \ y) \ (y \ 1) = y \ (x \ (y \ 1)). [para(65(a,1),1526(a,1,2,1)),flip(a)]. given #1127 (H,wt=17): 1597 T((1 / x) \ (y \ 1),y) = (1 / (1 / y)) \ x. [para(1074(a,1),1551(a,1,1))]. given #1128 (H,wt=17): 1598 (x \ (y \ x)) * (1 / x) = (1 / x) * (y \ 1). [para(124(a,1),1554(a,1,2)),flip(a)]. given #1129 (H,wt=17): 1604 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),1601(a,1,1,1)),flip(a)]. given #1130 (H,wt=17): 1607 (T(x,y \ 1) \ 1) \ y = y * ((x \ 1) \ 1). [para(1602(a,1),692(a,1,1))]. given #1131 (H,wt=17): 1611 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),1609(a,1,2,2)),flip(a)]. given #1132 (H,wt=17): 1615 x \ ((y / x) \ (z \ x)) = (x \ (z * y)) \ 1. [para(62(a,1),1592(a,1,1,2,1)),flip(a)]. given #1133 (H,wt=17): 1619 T((1 / x) \ (y \ 1),y) = ((y \ 1) \ 1) \ x. [hyper(227,a,1126,a(flip),b,1597,a)]. given #1134 (H,wt=17): 1620 (x \ ((y / x) \ x)) * (1 / x) = (x * y) \ x. [hyper(227,a,1594,a(flip),b,1598,a)]. given #1135 (H,wt=15): 1625 ((x \ y) \ 1) * (1 / x) = (x * y) \ x. [para(660(a,1),1620(a,1,1))]. given #1136 (H,wt=18): 90 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. given #1137 (H,wt=18): 108 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. given #1138 (H,wt=18): 172 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),28(a,2,1)),flip(a)]. given #1139 (H,wt=18): 174 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),30(a,2,2)),flip(a)]. given #1140 (H,wt=18): 218 x * (y * (y \ (x \ (z * u)))) != z * w | w = u. [para(58(a,2),19(a,2)),flip(a)]. given #1141 (H,wt=18): 262 (x * y) * (((z * x) * y) \ 1) = R(z,x,y) \ 1. [para(30(a,2),125(a,1,1)),flip(a)]. given #1142 (H,wt=18): 381 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(156(a,1),44(a,1,1))]. given #1143 (H,wt=18): 382 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(156(a,1),45(a,1,1)),flip(a)]. given #1144 (H,wt=18): 395 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),210(a,1,2))]. given #1145 (H,wt=18): 396 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),210(a,1,2))]. given #1146 (H,wt=18): 399 (x \ y) * (y / x) != z | (y / x) * (x \ y) = z. [para(189(a,1),210(a,1,2))]. given #1147 (H,wt=18): 406 (x \ 1) \ (y \ 1) != z | T(y \ x,x \ 1) = z. [para(124(a,1),283(a,1,2))]. given #1148 (H,wt=18): 417 T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. [para(135(a,1),408(a,1,1))]. given #1149 (H,wt=18): 435 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(191(a,1),169(a,1,2)),flip(b)]. given #1150 (H,wt=18): 436 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(191(a,1),297(a,1,1,2)),flip(b)]. given #1151 (H,wt=18): 468 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),100(a,1,2))]. given #1152 (H,wt=18): 471 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),100(a,1,1))]. given #1153 (H,wt=18): 485 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(102(a,1),40(a,2,1)),flip(a)]. given #1154 (H,wt=18): 486 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),102(a,2,1))]. given #1155 (H,wt=18): 500 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),109(a,1,1))]. given #1156 (H,wt=18): 503 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),109(a,1,2))]. given #1157 (H,wt=18): 515 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(110(a,2),115(a,1,1))]. given #1158 (H,wt=18): 526 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(113(a,1),142(a,1,2,1))]. given #1159 (H,wt=18): 533 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(72,a,40,a(flip),b,183,a)]. given #1160 (H,wt=18): 534 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(113(a,1),183(a,1,2)),flip(a)]. given #1161 (H,wt=18): 537 T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). [hyper(73,a,42,a(flip),b,185,a)]. given #1162 (H,wt=18): 538 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(219(a,1),40(a,2,1))]. given #1163 (H,wt=18): 541 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(65(a,1),219(a,1,1))]. given #1164 (H,wt=18): 545 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(233(a,1),276(a,1,2))]. given #1165 (H,wt=18): 548 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(232(a,1),278(a,1,1))]. given #1166 (H,wt=18): 550 (x \ y) * (y \ 1) != z * u | z \ (x \ 1) = u. [para(253(a,1),278(a,1,1))]. given #1167 (H,wt=18): 553 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(190(a,1),280(a,1,1))]. given #1168 (H,wt=18): 562 (((x * y) / z) * z) / y != u * w | x / w = u. [para(16(a,2),305(a,1,1))]. given #1169 (H,wt=18): 565 x \ (y * (y \ (x * z))) != u * w | u \ z = w. [para(14(a,2),307(a,1,2))]. given #1170 (H,wt=18): 566 (x * y) \ 1 != z * u | z \ (y \ (x \ 1)) = u. [para(248(a,1),307(a,1,2))]. given #1171 (H,wt=18): 568 (x \ 1) * ((y \ 1) \ 1) != z | (y \ x) \ 1 = z. [para(249(a,1),312(a,1,1))]. given #1172 (H,wt=18): 569 (x \ (y \ 1)) / z != u | (y * x) \ (1 / z) = u. [para(123(a,1),321(a,1,1))]. given #1173 (H,wt=18): 570 (x * (y \ 1)) / z != u | (y / x) \ (1 / z) = u. [para(125(a,1),321(a,1,1))]. given #1174 (H,wt=17): 1656 ((x \ 1) / y) \ (1 / y) = y / (y * (1 / x)). [hyper(570,a,1068,a)]. given #1175 (H,wt=17): 1657 (x \ (1 / y)) \ (1 / y) = y / (y * (1 / x)). [para(318(a,1),1656(a,1,1))]. given #1176 (H,wt=15): 1658 T(x,x \ (1 / y)) = y / (y * (1 / x)). [hyper(285,a,1657,a)]. given #1177 (H,wt=18): 571 (x \ y) \ 1 != z | (y \ 1) * ((x \ 1) \ 1) = z. [para(253(a,1),324(a,1,1))]. given #1178 (H,wt=18): 573 x / (y \ (z \ 1)) != u | (1 / x) \ (z * y) = u. [para(123(a,1),334(a,1,2))]. given #1179 (H,wt=18): 574 x / (y * (z \ 1)) != u | (1 / x) \ (z / y) = u. [para(125(a,1),334(a,1,2))]. given #1180 (H,wt=18): 575 1 / ((x \ 1) * y) != z | (1 / (1 / y)) \ x = z. [para(325(a,1),334(a,1))]. given #1181 (H,wt=18): 576 (((1 / x) * y) * z) \ 1 != u | z \ (y \ x) = u. [para(313(a,1),338(a,1,1,1))]. given #1182 (H,wt=14): 1659 T(x,y) \ 1 != z | y \ (x \ y) = z. [para(625(a,2),576(a,1,1))]. given #1183 (H,wt=18): 578 ((1 / x) * y) / z != u | 1 / (z * (y \ x)) = u. [para(313(a,1),349(a,1,1))]. given #1184 (H,wt=18): 581 ((1 / x) * y) \ (1 / z) != u | (y \ x) / z = u. [para(313(a,1),350(a,1,1))]. given #1185 (H,wt=18): 582 (1 / x) \ ((1 / y) * z) != u | x / (z \ y) = u. [para(313(a,1),350(a,1,2))]. given #1186 (H,wt=18): 583 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(379(a,1),40(a,2,1)),flip(a)]. given #1187 (H,wt=18): 584 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(385(a,1),42(a,2,1)),flip(a)]. given #1188 (H,wt=16): 1665 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(408,a,584,a),flip(a)]. given #1189 (H,wt=18): 586 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),392(a,1,2))]. given #1190 (H,wt=18): 588 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(233(a,1),392(a,1,2))]. given #1191 (H,wt=18): 589 (((x / y) / z) * z) * y != u * w | x / w = u. [para(16(a,2),393(a,1,1))]. given #1192 (H,wt=18): 590 (x / (y \ x)) * z != u * w | (y * z) / w = u. [para(230(a,1),393(a,1,1))]. given #1193 (H,wt=18): 591 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(232(a,1),393(a,1,1))]. given #1194 (H,wt=18): 600 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(88(a,2),457(a,1))]. given #1195 (H,wt=18): 601 (1 / x) \ (1 / y) != z * u | (x / y) / u = z. [para(337(a,1),458(a,1,2))]. given #1196 (H,wt=18): 605 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(480(a,1),40(a,2,1))]. given #1197 (H,wt=18): 606 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(481(a,1),40(a,2,1))]. given #1198 (H,wt=17): 1671 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(227,a,593,a(flip),b,606,a(flip)),flip(a)]. given #1199 (H,wt=18): 609 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(511(a,1),42(a,2,1))]. given #1200 (H,wt=18): 610 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(512(a,1),42(a,2,1))]. given #1201 (H,wt=18): 613 ((1 / x) * y) \ 1 != z * u | (y \ x) / u = z. [para(313(a,1),544(a,1,1))]. given #1202 (H,wt=18): 618 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(190(a,1),615(a,1,1,1))]. given #1203 (H,wt=18): 647 T(x / y,x) != z * u | z \ ((1 / y) * x) = u. [para(629(a,2),457(a,1))]. given #1204 (H,wt=18): 653 ((1 / x) * y) * x != z * u | T(y,x) / u = z. [para(631(a,1),393(a,1,1))]. given #1205 (H,wt=18): 658 T(x / y,x) * y != z * u | z \ T(x,y) = u. [para(649(a,2),278(a,1,1))]. given #1206 (H,wt=18): 680 x / T(x,y) != x * z | T(1 / T(x,y),x) = z. [para(634(a,1),167(a,2)),flip(a)]. given #1207 (H,wt=18): 710 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(166,a,100,a(flip),b,87,a(flip))]. given #1208 (H,wt=18): 711 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(227,a,100,a(flip),b,176,a(flip)),flip(a)]. given #1209 (H,wt=18): 712 L(x,y,z) * u != u * w | L(T(x,u),y,z) = w. [para(176(a,1),19(a,1))]. given #1210 (H,wt=18): 719 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(227,a,109,a(flip),b,177,a)]. given #1211 (H,wt=18): 720 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(72,a,109,a(flip),b,177,a)]. given #1212 (H,wt=18): 721 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(177(a,1),19(a,1))]. given #1213 (H,wt=18): 747 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(246(a,2),304(a,1,1))]. given #1214 (H,wt=18): 748 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(246(a,2),308(a,1,2))]. given #1215 (H,wt=18): 773 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(432(a,1),207(a,1,1)),flip(b)]. given #1216 (H,wt=18): 778 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(433(a,1),207(a,1,1)),flip(b)]. given #1217 (H,wt=18): 815 R(x,y,z) * (x \ 1) != u | x \ R(x,y,z) = u. [para(731(a,1),205(a,1,2)),flip(b)]. given #1218 (H,wt=18): 818 T(x,y \ 1) != y * z | (1 / x) \ (y \ 1) = z. [para(808(a,1),19(a,1))]. given #1219 (H,wt=18): 820 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(810(a,1),207(a,1,1)),flip(b)]. given #1220 (H,wt=18): 823 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(73,a,88,a(flip),b,89,a)]. given #1221 (H,wt=18): 824 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(16(a,1),89(a,1,1,2))]. given #1222 (H,wt=18): 827 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(107(a,2),225(a,1,1))]. given #1223 (H,wt=18): 836 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(829(a,1),44(a,1,1)),flip(a)]. given #1224 (H,wt=18): 837 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(829(a,1),45(a,1,1)),flip(a)]. given #1225 (H,wt=18): 842 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),838(a,1,2,2)),flip(a)]. given #1226 (H,wt=18): 844 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(14(a,1),841(a,1,2))]. given #1227 (H,wt=18): 845 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(841(a,1),38(a,1,1)),flip(a)]. given #1228 (H,wt=18): 853 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),394(a,1,2,1))]. given #1229 (H,wt=18): 858 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(113(a,2),442(a,1,2))]. given #1230 (H,wt=18): 860 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(227,a,176,a(flip),b,461,a(flip))]. given #1231 (H,wt=18): 877 T(T(x,y),y \ 1) != z | (x * y) * (y \ 1) = z. [para(32(a,2),691(a,1,1))]. given #1232 (H,wt=18): 882 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(14(a,1),738(a,1,1,2))]. given #1233 (H,wt=18): 887 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(14(a,1),850(a,1,1,2))]. given #1234 (H,wt=17): 1684 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(887(a,1),154(a,1))]. given #1235 (H,wt=18): 888 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(881(a,2),113(a,1,2)),flip(a)]. given #1236 (H,wt=18): 898 (x * T(y,x)) * T(x,y) = R(x,y,x) * (y * x). [para(113(a,2),890(a,2,1)),flip(a)]. given #1237 (H,wt=18): 928 (x / y) * (x / y) != z | x * (y \ (x / y)) = z. [para(924(a,1),306(a,1))]. given #1238 (H,wt=18): 942 (x / y) * (y * x) != z * u | z \ (x * x) = u. [para(936(a,2),457(a,1))]. given #1239 (H,wt=18): 958 (x * y) * (x * y) != z | x * (y * (x * y)) = z. [para(956(a,1),209(a,1,2))]. given #1240 (H,wt=18): 978 1 / ((x \ y) * y) != z | (1 / y) * (y \ x) = z. [para(961(a,1),316(a,1,2))]. given #1241 (H,wt=18): 979 ((x * y) \ x) \ 1 != z | x * ((y \ x) \ 1) = z. [para(967(a,1),324(a,1,1))]. given #1242 (H,wt=18): 980 ((x * y) \ x) * x != z * u | (y \ x) / u = z. [para(967(a,1),393(a,1,1))]. given #1243 (H,wt=18): 994 ((x * y) * x) \ (x * y) != z | y / (x * y) = z. [para(15(a,1),964(a,1,1,2))]. given #1244 (H,wt=18): 1001 ((x * y) * x) \ (x * y) != z | y \ (y / x) = z. [para(968(a,2),965(a,1))]. given #1245 (H,wt=18): 1042 L(x,y * x,1 / (y * x)) = ((y * x) \ y) \ 1. [para(13(a,1),1038(a,1,1))]. given #1246 (H,wt=18): 1050 T(x,x \ 1) \ x != x * y | T(x \ 1,x) = y. [para(1045(a,2),167(a,2)),flip(a)]. given #1247 (H,wt=18): 1075 x / (1 / (1 / y)) != z | (1 / x) \ (y \ 1) = z. [para(1058(a,2),334(a,1,2))]. given #1248 (H,wt=18): 1076 ((x \ 1) \ 1) \ 1 != y * z | (1 / x) / z = y. [para(1058(a,1),544(a,1,1))]. given #1249 (H,wt=18): 1084 x \ (y * T(y,z)) != u | (x \ y) * T(y,z) = u. [para(981(a,1),282(a,1,2)),flip(b)]. given #1250 (H,wt=18): 1088 x / T(x,y) != z * u | (T(x,y) \ x) / u = z. [para(1081(a,1),305(a,1,1))]. given #1251 (H,wt=18): 1102 x \ (1 / y) != z * (1 / y) | (y * x) \ y = z. [para(1003(a,1),20(a,1))]. given #1252 (H,wt=18): 1112 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1108(a,1),829(a,1,1))]. given #1253 (H,wt=18): 1113 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1110(a,1),46(a,1,1)),flip(a)]. given #1254 (H,wt=18): 1118 ((x \ 1) \ 1) \ (1 / y) != z | 1 / (y * x) = z. [para(1061(a,2),349(a,1))]. given #1255 (H,wt=18): 1121 1 / (x * (1 / y)) != z | (y \ 1) \ (1 / x) = z. [para(1065(a,1),321(a,1))]. given #1256 (H,wt=18): 1147 (x * (1 / (y * x))) \ x != z | y / (1 / x) = z. [para(1140(a,1),281(a,1,1)),flip(b)]. given #1257 (H,wt=15): 1692 L(x * y,y,y) != z | x / (1 / y) = z. [para(1305(a,1),1147(a,1))]. given #1258 (H,wt=18): 1177 (x / y) * (z * x) != u * x | x / (z \ y) = u. [para(1173(a,1),20(a,1))]. given #1259 (H,wt=18): 1179 (x / (y \ z)) * x != u | (x / z) * (y * x) = u. [para(1174(a,1),207(a,1,1)),flip(b)]. given #1260 (H,wt=18): 1184 (x / (y * z)) * (y * x) != u * x | x / z = u. [para(1176(a,2),20(a,1))]. given #1261 (H,wt=18): 1204 ((x * y) \ y) * z != u | T(x \ 1,y) * z = u. [para(1196(a,1),615(a,1,1,1))]. given #1262 (H,wt=18): 1271 (x * (y \ 1)) \ x != z | x * ((y \ x) \ 1) = z. [para(1216(a,1),707(a,1,1))]. given #1263 (H,wt=18): 1298 L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. [para(264(a,1),1207(a,1,2))]. given #1264 (H,wt=18): 1304 L(L(x \ 1,y,z),u,u) = L((u * x) \ u,y,z). [para(1301(a,1),45(a,1,1)),flip(a)]. given #1265 (H,wt=18): 1327 ((x / y) * z) \ z != u | T(y * (x \ 1),z) = u. [para(263(a,1),1226(a,1,1,1))]. given #1266 (H,wt=18): 1329 T(x * (y \ z),x) != u | ((1 / z) * y) \ x = u. [para(250(a,1),1249(a,1,1,2))]. given #1267 (H,wt=18): 1331 (1 / x) \ (y / (1 / x)) != z | x * (y * x) = z. [para(1320(a,1),594(a,1,2))]. given #1268 (H,wt=18): 1358 (x \ 1) * L(L(y,x,x),z,u) = x \ L(y,z,u). [para(45(a,1),1349(a,1,2))]. given #1269 (H,wt=18): 1410 x / ((x \ 1) \ y) != z | x * (1 / (x * y)) = z. [para(1348(a,1),1316(a,1,2))]. given #1270 (H,wt=18): 1414 (((x / y) * x) / z) \ x != u | (z / x) * y = u. [para(1334(a,2),281(a,1,1)),flip(b)]. given #1271 (H,wt=18): 1416 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1342(a,1),207(a,1,1)),flip(b)]. given #1272 (H,wt=18): 1417 (x \ 1) * ((1 / x) * y) != z | x \ (x \ y) = z. [para(1020(a,1),1350(a,1,2))]. given #1273 (H,wt=18): 1418 (x \ 1) * (y * (x \ 1)) != z | x \ (y / x) = z. [para(1030(a,1),1350(a,1,2))]. given #1274 (H,wt=18): 1419 (x \ 1) * (y * x) != z | x \ (y / (1 / x)) = z. [para(1380(a,1),1350(a,1,2))]. given #1275 (H,wt=18): 1421 (1 / (x * y)) \ x != z * x | (x \ 1) \ y = z. [para(1355(a,2),20(a,1))]. given #1276 (H,wt=18): 1424 x \ (y / x) != (x \ 1) * z | y * (x \ 1) = z. [para(1361(a,1),19(a,1))]. given #1277 (H,wt=18): 1427 x \ (y \ 1) != (x \ 1) * z | (x * y) \ x = z. [para(1363(a,1),19(a,1))]. given #1278 (H,wt=18): 1467 1 / (x / (x \ y)) != z | (y \ x) \ (1 / x) = z. [para(1465(a,1),321(a,1))]. given #1279 (H,wt=18): 1486 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(735(a,1),289(a,1,1)),flip(b)]. given #1280 (H,wt=18): 1487 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(219(a,1),735(a,1,1,2)),flip(a)]. given #1281 (H,wt=18): 1514 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1115(a,2),1440(a,1))]. given #1282 (H,wt=18): 1516 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1515(a,1),44(a,1,1)),flip(a)]. given #1283 (H,wt=18): 1546 (1 / x) * T(y,x \ 1) != z | y * (1 / x) = z. [para(1539(a,1),210(a,1,2))]. given #1284 (H,wt=18): 1559 1 / (x * y) != z * (1 / y) | T(1 / x,y) = z. [para(1556(a,1),20(a,1))]. given #1285 (H,wt=18): 1614 (x \ ((x * y) * z)) / x = L(y,x,x) * (z / x). [para(1021(a,1),1589(a,1,1)),flip(a)]. given #1286 (H,wt=18): 1628 (x * y) \ (y * (y \ x)) = L(y \ 1,T(x,y),y). [para(1244(a,1),172(a,1,2,2))]. given #1287 (H,wt=14): 1699 L(x \ 1,T(y,x),x) = (y * x) \ y. [para(14(a,1),1628(a,1,2)),flip(a)]. given #1288 (H,wt=18): 1629 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(227,a,433,a(flip),b,174,a(flip)),flip(a)]. given #1289 (H,wt=18): 1630 (x * y) * (y \ (x \ z)) = R(1 / z,x,y) \ 1. [para(314(a,1),262(a,1,2))]. given #1290 (H,wt=18): 1653 (x \ 1) * (1 / y) != z | ((y \ 1) \ x) \ 1 = z. [para(1057(a,1),568(a,1,2))]. given #1291 (H,wt=18): 1661 (1 / x) \ (y * z) != u | x / (z \ (y \ 1)) = u. [para(62(a,1),582(a,1,2,1))]. given #1292 (H,wt=18): 1669 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(231(a,1),590(a,1,1))]. given #1293 (H,wt=18): 1675 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(710(a,1),430(a,1,1))]. given #1294 (H,wt=18): 1679 (x \ y) \ 1 != z | (y \ 1) * T(x,x \ 1) = z. [para(257(a,1),748(a,1))]. given #1295 (H,wt=18): 1683 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(227,a,40,a,b,845,a)]. given #1296 (H,wt=18): 1686 (x \ (x \ 1)) * y != z | (1 / x) * (x \ y) = z. [para(999(a,1),978(a,1))]. given #1297 (H,wt=18): 1687 L(x,y * x,1 / (y * x)) = y * ((x \ y) \ 1). [hyper(227,a,970,a(flip),b,1042,a)]. given #1298 (H,wt=16): 1701 L(x,y * x,y * x) = y * ((x \ y) \ 1). [hyper(1152,a,1687,a)]. given #1299 (H,wt=18): 1688 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(235(a,2),1112(a,2,2))]. given #1300 (H,wt=9): 1702 T(x,K(x,1 / x)) = x. [hyper(227,a,1530,a(flip),b,1688,a(flip))]. given #1301 (H,wt=13): 1703 T(1 / x,K(x \ 1,x)) = 1 / x. [para(1513(a,1),1702(a,1,2))]. given #1302 (H,wt=18): 1690 ((x \ 1) \ 1) \ y != z | 1 / ((y \ 1) * x) = z. [para(62(a,1),1118(a,1,2))]. given #1303 (H,wt=18): 1691 (x * (1 / y)) \ x != z | (y / x) / (1 / x) = z. [para(16(a,1),1147(a,1,1,2,2))]. given #1304 (H,wt=19): 294 ((x * y) * z) / a(x,y,z) != u | x * (y * z) = u. [para(24(a,2),292(a,1,2)),flip(b)]. given #1305 (H,wt=19): 431 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),175(a,1,2,1))]. given #1306 (H,wt=17): 1706 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [hyper(227,a,665,a(flip),b,431,a)]. given #1307 (H,wt=19): 463 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(73,a,100,a(flip),b,113,a)]. given #1308 (H,wt=19): 509 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(109(a,2),167(a,2)),flip(a)]. given #1309 (H,wt=19): 602 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(378(a,1),458(a,1,2))]. given #1310 (H,wt=19): 616 x * ((x \ y) * z) != u | y * L(z,x \ y,x) = u. [para(100(a,1),556(a,1))]. given #1311 (H,wt=19): 684 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(227,a,132,a(flip),b,639,a)]. given #1312 (H,wt=18): 1707 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(156(a,1),684(a,1,1,2))]. given #1313 (H,wt=17): 1708 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [hyper(73,a,156,a(flip),b,1707,a)]. given #1314 (H,wt=17): 1709 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [hyper(334,a,1708,a)]. given #1315 (H,wt=17): 1710 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1709(a,1),14(a,1,2))]. given #1316 (H,wt=11): 1711 T(x,x * ((y * x) \ y)) = x. [hyper(227,a,640,a,b,1710,a(flip)),flip(a)]. given #1317 (H,wt=15): 1712 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(14(a,1),1711(a,1,2,2,1))]. given #1318 (H,wt=15): 1714 T(x / y,(x / y) * (y / x)) = x / y. [para(963(a,1),1711(a,1,2,2))]. given #1319 (H,wt=17): 1716 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(72,a,1714,a(flip),b,640,a(flip))]. given #1320 (H,wt=17): 1717 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [hyper(580,a,1716,a)]. given #1321 (H,wt=19): 687 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(73,a,132,a(flip),b,639,a)]. given #1322 (H,wt=19): 704 (1 / T(x,y \ (z \ 1))) \ (z * y) = (z * y) * x. [para(123(a,1),692(a,1,1,2,2))]. given #1323 (H,wt=19): 734 (1 / x) * L(y / x,z,u) = L(x \ y,z,u) / x. [hyper(73,a,179,a(flip),b,625,a(flip)),flip(a)]. given #1324 (H,wt=18): 1720 (1 / x) * L(1 / x,y,y) = ((y * x) \ y) / x. [para(1301(a,1),734(a,2,1))]. given #1325 (H,wt=19): 751 (x \ 1) * ((y \ (z \ 1)) \ 1) = ((z * y) \ x) \ 1. [para(123(a,1),257(a,1,2,1))]. given #1326 (H,wt=19): 752 (x * (y \ 1)) * ((z \ 1) \ 1) = (z \ (y / x)) \ 1. [para(125(a,1),257(a,1,1))]. given #1327 (H,wt=19): 753 (x \ ((1 / y) * z)) \ 1 = (z \ y) * ((x \ 1) \ 1). [para(250(a,1),257(a,1,1)),flip(a)]. given #1328 (H,wt=19): 754 (((1 / x) * y) \ z) \ 1 = (z \ 1) * ((y \ x) \ 1). [para(250(a,1),257(a,1,2,1)),flip(a)]. given #1329 (H,wt=19): 756 (((1 / x) * y) * z) / u = 1 / (u * (z \ (y \ x))). [para(314(a,1),263(a,1,2,2)),flip(a)]. given #1330 (H,wt=19): 757 (1 / x) \ (((1 / y) * z) * u) = x / (u \ (z \ y)). [para(314(a,1),317(a,1,2)),flip(a)]. given #1331 (H,wt=19): 758 ((1 / x) * y) \ ((1 / z) * u) = (y \ x) / (u \ z). [hyper(73,a,250,a(flip),b,315,a),flip(a)]. given #1332 (H,wt=19): 759 x / (y * (z * (u \ 1))) = (1 / x) \ ((u / z) / y). [hyper(72,a,327,a(flip),b,337,a),flip(a)]. given #1333 (H,wt=19): 760 x / (y \ (z \ (u \ 1))) = (1 / x) \ ((u * z) * y). [para(123(a,1),340(a,1,2,2))]. given #1334 (H,wt=19): 764 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),415(a,1,2))]. given #1335 (H,wt=19): 825 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(89(a,1),282(a,1,2)),flip(b)]. given #1336 (H,wt=19): 831 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(173(a,1),212(a,1)),flip(b)]. given #1337 (H,wt=19): 861 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(461(a,1),19(a,1))]. given #1338 (H,wt=19): 863 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(461(a,1),282(a,1,2)),flip(b)]. given #1339 (H,wt=19): 867 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(491(a,1),292(a,1,2)),flip(b)]. given #1340 (H,wt=19): 872 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(524(a,1),281(a,1,1)),flip(b)]. given #1341 (H,wt=15): 1725 T(x,x * y) != z | L(T(x,y),y,x) = z. [para(32(a,2),872(a,1))]. given #1342 (H,wt=19): 892 (x * y) * T(y,x) != z * (x * y) | R(y,x,y) = z. [para(889(a,1),169(a,1,2)),flip(b)]. given #1343 (H,wt=19): 917 T((((1 / x) \ y) * z) / x,x) = (y * (z / x)) * x. [hyper(195,a,121,a)]. given #1344 (H,wt=19): 952 x * ((x \ (y / z)) * (y / z)) = y * (z \ (y / z)). [hyper(227,a,926,a(flip),b,938,a)]. given #1345 (H,wt=19): 1069 (x \ ((y \ 1) \ 1)) \ 1 = (1 / y) * ((x \ 1) \ 1). [para(1057(a,1),257(a,1,1)),flip(a)]. given #1346 (H,wt=19): 1071 1 / (((1 / x) * y) * z) = ((z \ (y \ x)) \ 1) \ 1. [para(314(a,1),1057(a,1,1,1)),flip(a)]. given #1347 (H,wt=19): 1072 (((x \ 1) \ 1) * y) / z = 1 / (z * (y \ (1 / x))). [para(1057(a,1),326(a,1,2,2,2)),flip(a)]. given #1348 (H,wt=19): 1083 (x * y) * T(x * y,z) = x * (y * T(x * y,z)). [para(13(a,1),981(a,1,2,1)),flip(a)]. given #1349 (H,wt=19): 1122 ((x \ 1) * (1 / y)) / z = ((y \ 1) \ x) \ (1 / z). [hyper(73,a,1070,a(flip),b,259,a)]. given #1350 (H,wt=19): 1123 ((x * (y \ 1)) \ z) \ 1 = (z \ 1) * (1 / (y / x)). [para(125(a,1),1070(a,1,1,1))]. given #1351 (H,wt=19): 1127 (1 / x) \ (((y \ 1) \ 1) \ z) = x / ((z \ 1) * y). [hyper(72,a,1078,a(flip),b,337,a)]. given #1352 (H,wt=19): 1128 1 / ((x \ (y \ 1)) * z) = ((z \ 1) \ 1) \ (y * x). [para(123(a,1),1078(a,1,2,1))]. given #1353 (H,wt=19): 1130 1 / (x / ((1 / y) * z)) = ((z \ y) \ 1) * (1 / x). [para(250(a,1),1079(a,1,1,1)),flip(a)]. given #1354 (H,wt=19): 1131 ((x \ 1) \ 1) * ((1 / y) * z) = 1 / ((z \ y) / x). [para(313(a,1),1079(a,1,2))]. given #1355 (H,wt=19): 1137 ((x \ (y \ 1)) \ 1) \ (1 / z) = 1 / (z * (y * x)). [para(123(a,1),1117(a,1,1,1))]. given #1356 (H,wt=19): 1138 1 / (x * ((1 / y) * z)) = ((z \ y) \ 1) \ (1 / x). [para(250(a,1),1117(a,1,1,1)),flip(a)]. given #1357 (H,wt=19): 1141 (1 / x) * (x * (1 / (y * x))) = 1 / (y / (1 / x)). [para(1133(a,1),313(a,1,2)),flip(a)]. given #1358 (H,wt=19): 1145 (1 / x) \ (((y \ 1) \ z) \ 1) = x / (y / (1 / z)). [hyper(72,a,1139,a(flip),b,337,a)]. given #1359 (H,wt=19): 1178 ((x / y) * (z * x)) \ 1 = x \ ((x / (z \ y)) \ 1). [para(1173(a,1),123(a,1,1))]. given #1360 (H,wt=19): 1180 (x / (y \ (z \ x))) \ 1 = x * ((z * (y * x)) \ 1). [para(1175(a,1),125(a,1,1))]. given #1361 (H,wt=19): 1205 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(728(a,1),1196(a,1,2))]. given #1362 (H,wt=19): 1260 T(x,(1 / y) * z) * (z \ y) = ((1 / y) * z) \ x. [para(250(a,1),1244(a,1,2))]. given #1363 (H,wt=19): 1263 L(x \ y,z,u) * (x \ 1) = x \ L(y / x,z,u). [para(179(a,1),1244(a,1,1))]. given #1364 (H,wt=19): 1284 ((1 / x) \ (y \ 1)) * (y \ 1) = x * (y \ (1 / y)). [para(1257(a,1),909(a,2,2))]. given #1365 (H,wt=17): 1739 (1 / x) \ (y \ (1 / y)) = x * (y \ (1 / y)). [hyper(227,a,1280,a(flip),b,1284,a(flip)),flip(a)]. given #1366 (H,wt=15): 1740 x / ((1 / y) \ y) = x * (y \ (1 / y)). [hyper(227,a,1490,a(flip),b,1739,a(flip)),flip(a)]. given #1367 (H,wt=15): 1741 x / (y \ (1 / y)) = x * ((1 / y) \ y). [hyper(305,a,1740,a)]. given #1368 (H,wt=19): 1309 R(L(x,y,y),y,z) = (((1 / x) \ y) * z) / (y * z). [para(1302(a,1),110(a,1,1))]. given #1369 (H,wt=19): 1310 L(x,y,y) * y != z * u | z \ ((1 / x) \ y) = u. [para(1302(a,1),278(a,1,1))]. given #1370 (H,wt=19): 1409 (x * T(x \ 1,y)) * x = x * (x * T(x \ 1,y)). [para(131(a,1),1276(a,1,1,2))]. given #1371 (H,wt=11): 1743 T(x,x * T(x \ 1,y)) = x. [hyper(167,a,1409,a)]. given #1372 (H,wt=19): 1412 (x * ((1 / y) * z)) \ x != u | L(z \ y,x,x) = u. [para(313(a,1),1322(a,1,1,2))]. given #1373 (H,wt=19): 1425 (x * (y \ 1)) \ ((y \ 1) \ 1) = (y \ (x / y)) \ 1. [para(1361(a,1),123(a,1,1)),flip(a)]. given #1374 (H,wt=19): 1457 (1 / (x * y)) \ (y \ 1) = (y \ 1) * ((1 / y) \ x). [para(621(a,1),1436(a,1,1,2))]. given #1375 (H,wt=19): 1472 ((1 / x) * (1 / y)) \ (1 / x) != z | L(y,x,x) = z. [para(1305(a,2),1471(a,1))]. given #1376 (H,wt=19): 1475 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(1474(a,1),659(a,1,2,1))]. given #1377 (H,wt=19): 1476 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(1474(a,1),1202(a,1,2)),flip(a)]. given #1378 (H,wt=19): 1491 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(115(a,1),776(a,1,2,1,2)),flip(a)]. given #1379 (H,wt=19): 1493 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(777(a,1),161(a,1,1,2))]. given #1380 (H,wt=19): 1494 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(777(a,1),162(a,1,2,2))]. given #1381 (H,wt=19): 1500 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),902(a,1,1,1)),flip(a)]. given #1382 (H,wt=19): 1522 ((x \ 1) \ (y \ 1)) \ x = x * (((x \ y) \ 1) \ 1). [para(1520(a,1),659(a,1,2,1)),flip(a)]. given #1383 (H,wt=19): 1542 (1 / x) \ ((x \ 1) * y) = ((1 / y) \ (x \ 1)) * x. [para(1209(a,1),1537(a,1,1)),flip(a)]. given #1384 (H,wt=19): 1548 T(T(x * y,y \ 1),(y \ 1) \ 1) = x / (1 / y). [hyper(227,a,1411,a(flip),b,1543,a)]. given #1385 (H,wt=19): 1553 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [hyper(227,a,633,a(flip),b,1545,a(flip)),flip(a)]. given #1386 (H,wt=19): 1576 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(1572(a,1),1573(a,1,1,1))]. given #1387 (H,wt=19): 1599 (T(x,y) \ 1) * (1 / x) = (1 / x) * (T(x,y) \ 1). [para(131(a,1),1574(a,1,1,1))]. given #1388 (H,wt=19): 1600 ((x \ y) \ y) * (1 / y) = (1 / y) * ((x \ 1) \ 1). [para(787(a,1),1574(a,1,1))]. given #1389 (H,wt=19): 1608 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(1605(a,1),659(a,1,2,1)),flip(a)]. given #1390 (H,wt=19): 1622 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(1604(a,1),161(a,1,1,2))]. given #1391 (H,wt=19): 1623 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(1611(a,1),113(a,1,2)),flip(a)]. given #1392 (H,wt=19): 1647 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(480(a,1),533(a,1,2,1)),flip(a)]. given #1393 (H,wt=19): 1648 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [para(511(a,1),537(a,1,1,1)),flip(a)]. given #1394 (H,wt=19): 1650 L(x \ y,x,x) != z * u | ((1 / x) * y) / u = z. [para(1021(a,1),545(a,1))]. given #1395 (H,wt=19): 1663 (1 / x) \ L(y,z,z) != u | x / ((z * y) \ z) = u. [para(1021(a,1),582(a,1,2))]. given #1396 (H,wt=19): 1666 R(T(1 / x,y),x,x \ y) != z | y \ (x \ y) = z. [para(584(a,1),408(a,1))]. given #1397 (H,wt=19): 1670 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(227,a,534,a(flip),b,605,a(flip)),flip(a)]. given #1398 (H,wt=19): 1672 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(72,a,606,a(flip),b,402,a)]. given #1399 (H,wt=19): 1673 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(73,a,610,a(flip),b,184,a)]. given #1400 (H,wt=19): 1674 L(x,y,y) \ 1 != z * u | ((y * x) \ y) / u = z. [para(1021(a,1),613(a,1,1))]. given #1401 (H,wt=19): 1719 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [hyper(1251,a,687,a)]. given #1402 (H,wt=12): 1768 T(x,x * L(x \ 1,y,z)) = x. [hyper(35,a,1719,a)]. given #1403 (H,wt=19): 1728 (x \ 1) * (1 / ((1 / y) / z)) = ((z * y) \ x) \ 1. [para(65(a,1),1123(a,1,1,1,2)),flip(a)]. given #1404 (H,wt=19): 1734 (x * ((y \ 1) \ z)) \ x = x \ (x / (y / (1 / z))). [para(1145(a,1),1367(a,1,2)),flip(a)]. given #1405 (H,wt=19): 1735 (x * y) \ ((y / z) \ 1) = y \ ((y / (x \ z)) \ 1). [hyper(311,a,1178,a)]. given #1406 (H,wt=19): 1736 (x \ (y \ z)) * (z \ 1) = z * ((y * (x * z)) \ 1). [hyper(324,a,1180,a)]. given #1407 (H,wt=19): 1737 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(1251,a,1205,a)]. given #1408 (H,wt=12): 1772 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1737,a)]. given #1409 (H,wt=16): 1773 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(65(a,1),1772(a,1,2,2,1))]. given #1410 (H,wt=19): 1738 (x \ 1) * L(x \ 1,y,z) = x \ L(1 / x,y,z). [hyper(398,a,1263,a)]. given #1411 (H,wt=18): 1777 (x \ 1) * ((y * x) \ y) = x \ L(1 / x,y,y). [para(1301(a,1),1738(a,1,2))]. given #1412 (H,wt=17): 1778 (x \ 1) * ((y * x) \ y) = x \ (y \ (y / x)). [para(1371(a,1),1777(a,2,2))]. given #1413 (H,wt=19): 1742 L(R(x,y,z),y,y) = (((1 / x) \ y) * z) / (y * z). [hyper(227,a,44,a(flip),b,1309,a(flip)),flip(a)]. given #1414 (H,wt=19): 1745 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(395,a,1476,a),flip(a)]. given #1415 (H,wt=19): 1746 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),1493(a,1,1,2,1,2))]. given #1416 (H,wt=19): 1752 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(260(a,1),1522(a,1,1)),flip(a)]. given #1417 (H,wt=15): 1781 ((x \ 1) \ 1) \ y = y * (1 / T(x,y)). [para(1067(a,1),1752(a,1,2)),flip(a)]. given #1418 (H,wt=13): 1782 ((x \ 1) \ y) \ y = 1 / T(x,y). [hyper(789,a,1781,a)]. given #1419 (H,wt=13): 1785 ((x \ 1) \ y) * (1 / T(x,y)) = y. [para(1782(a,1),14(a,1,2))]. given #1420 (H,wt=15): 1784 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(227,a,803,a,b,1782,a),flip(a)]. given #1421 (H,wt=15): 1786 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(1784(a,2),62(a,1,2))]. given #1422 (H,wt=19): 1753 ((x \ 1) \ (1 / y)) \ x = (1 / x) \ ((x \ 1) * y). [hyper(227,a,1454,a,b,1542,a),flip(a)]. given #1423 (H,wt=19): 1754 (x \ 1) \ (y / (1 / x)) = ((x \ 1) \ 1) * (y * x). [hyper(72,a,1548,a(flip),b,1393,a(flip))]. given #1424 (H,wt=19): 1756 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(1608(a,1),62(a,1,2))]. given #1425 (H,wt=19): 1760 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(853,a,1647,a),flip(a)]. given #1426 (H,wt=19): 1761 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(78,a,1647,a)]. given #1427 (H,wt=19): 1762 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),1647(a,2,2,1))]. given #1428 (H,wt=19): 1763 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(778,a,1648,a),flip(a)]. given #1429 (H,wt=17): 1793 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(54(a,1),1763(a,1,1,1)),flip(a)]. given #1430 (H,wt=19): 1764 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(773,a,1648,a)]. given #1431 (H,wt=19): 1766 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),1672(a,1,2,1)),flip(a)]. given #1432 (H,wt=19): 1767 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(227,a,429,a(flip),b,1673,a)]. given #1433 (H,wt=19): 1770 (x * y) \ (z * (y \ 1)) = y \ ((y / (x \ z)) \ 1). [para(125(a,1),1735(a,1,2))]. given #1434 (H,wt=19): 1771 (x \ (y \ z)) * (z \ 1) = z * ((x * z) \ (y \ 1)). [para(123(a,1),1736(a,2,2))]. given #1435 (H,wt=19): 1779 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1106(a,1),1745(a,1,1,1))]. given #1436 (H,wt=19): 1788 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),1756(a,1,2,2,1,1))]. given #1437 (H,wt=19): 1789 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(1760(a,1),14(a,1,2)),flip(a)]. given #1438 (H,wt=19): 1794 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(16(a,1),1764(a,2,1,1))]. given #1439 (H,wt=19): 1797 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(1767(a,1),16(a,1,1))]. given #1440 (H,wt=19): 1798 (x * y) \ (z * (y \ 1)) = y \ ((x \ z) * (y \ 1)). [para(125(a,1),1770(a,2,2))]. given #1441 (H,wt=19): 1802 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [hyper(1546,a,1794,a)]. given #1442 (H,wt=19): 1803 (x * y) \ (z * (y \ 1)) = (y \ 1) * ((x \ z) / y). [hyper(227,a,1391,a(flip),b,1798,a)]. given #1443 (H,wt=19): 1805 (x \ 1) * ((y \ (z \ x)) / x) = (y * x) \ (z \ 1). [para(124(a,1),1803(a,1,2)),flip(a)]. given #1444 (H,wt=20): 91 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). [para(14(a,1),24(a,2,2)),flip(a)]. given #1445 (H,wt=20): 122 ((1 / x) \ y) * (z * x) != x * u | (y * z) * x = u. [para(47(a,2),19(a,1))]. given #1446 (H,wt=20): 170 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(113(a,1),24(a,2,1,2)),flip(a)]. given #1447 (H,wt=20): 171 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),24(a,2,2,1)),flip(a)]. given #1448 (H,wt=20): 241 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(92(a,1),28(a,2,2,2)),flip(a)]. given #1449 (H,wt=20): 256 a(x,y,z) * (((x * y) * z) \ 1) = (x * (y * z)) \ 1. [para(24(a,2),124(a,1,1))]. given #1450 (H,wt=20): 310 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(235(a,2),28(a,2,1)),flip(a)]. given #1451 (H,wt=20): 390 ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. [para(268(a,1),167(a,2))]. given #1452 (H,wt=20): 441 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(236(a,1),28(a,2,2,2)),flip(a)]. given #1453 (H,wt=20): 469 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),100(a,1,2))]. given #1454 (H,wt=20): 470 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),100(a,1,2))]. given #1455 (H,wt=20): 473 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(182(a,2),100(a,1,1))]. given #1456 (H,wt=20): 487 L(x \ (y / z),x,1 / y) = ((1 / y) * x) \ (1 / z). [para(337(a,1),102(a,2,2))]. given #1457 (H,wt=19): 1814 L(x \ (y / z),x,1 / y) != u | (x \ y) / z = u. [para(487(a,2),581(a,1))]. given #1458 (H,wt=20): 493 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(72,a,109,a(flip),b,100,a)]. given #1459 (H,wt=20): 501 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),109(a,1,1))]. given #1460 (H,wt=20): 502 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),109(a,1,1))]. given #1461 (H,wt=20): 505 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(182(a,2),109(a,1,2))]. given #1462 (H,wt=20): 516 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(187(a,1),110(a,2,2))]. given #1463 (H,wt=20): 525 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(92(a,1),136(a,1,1,2))]. given #1464 (H,wt=20): 527 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(92(a,1),142(a,1,2,1))]. given #1465 (H,wt=20): 531 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(72,a,45,a,b,183,a)]. given #1466 (H,wt=20): 532 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(72,a,44,a,b,183,a)]. given #1467 (H,wt=20): 535 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(73,a,44,a(flip),b,184,a)]. given #1468 (H,wt=20): 536 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(73,a,46,a,b,185,a)]. given #1469 (H,wt=20): 539 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(219(a,1),44(a,1,1)),flip(a)]. given #1470 (H,wt=20): 540 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(219(a,1),45(a,1,1)),flip(a)]. given #1471 (H,wt=20): 592 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(72,a,45,a,b,402,a)]. given #1472 (H,wt=19): 1828 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(401(a,1),592(a,1,2,1))]. given #1473 (H,wt=19): 1830 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [para(1828(a,1),279(a,1,1))]. given #1474 (H,wt=20): 599 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),416(a,1,2))]. given #1475 (H,wt=20): 603 ((x \ 1) * y) / L(x \ y,x,x \ 1) = K(x \ 1,x). [hyper(227,a,182,a,b,459,a)]. given #1476 (H,wt=20): 607 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(481(a,1),44(a,1,1)),flip(a)]. given #1477 (H,wt=20): 608 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(481(a,1),45(a,1,1)),flip(a)]. given #1478 (H,wt=20): 611 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(512(a,1),46(a,1,1)),flip(a)]. given #1479 (H,wt=20): 683 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(636(a,1),301(a,1))]. given #1480 (H,wt=20): 701 (x * (1 / y)) / x != z * u | z \ (x / (x * y)) = u. [para(676(a,1),549(a,1,1))]. given #1481 (H,wt=20): 703 (1 / x) \ (y / (y * z)) != u | x / T(z,y \ 1) = u. [para(689(a,1),350(a,1,2))]. given #1482 (H,wt=20): 761 (1 / ((x * y) * (z \ 1))) \ (z / y) = R(x,y,z \ 1). [hyper(227,a,30,a,b,341,a(flip))]. given #1483 (H,wt=16): 1834 (x / (y * z)) \ (x / z) = R(y,z,x \ 1). [para(263(a,1),761(a,1,1))]. given #1484 (H,wt=18): 1835 ((x * y) / (z * y)) \ x = R(z,y,(x * y) \ 1). [para(15(a,1),1834(a,1,2))]. given #1485 (H,wt=18): 1837 ((x * y) / (z * y)) \ x = R(z,y,y \ (x \ 1)). [para(123(a,1),1835(a,2,3))]. given #1486 (H,wt=20): 782 (x * (y \ 1)) \ y != z * u | (y * (x \ y)) / u = z. [para(779(a,1),544(a,1,1))]. given #1487 (H,wt=20): 843 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),838(a,1,2,2)),flip(a)]. given #1488 (H,wt=20): 856 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(426(a,1),40(a,2,1))]. given #1489 (H,wt=20): 865 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(479(a,1),40(a,2,1))]. given #1490 (H,wt=20): 868 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(514(a,1),42(a,2,1))]. given #1491 (H,wt=20): 871 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(514(a,1),180(a,1,1)),flip(a)]. given #1492 (H,wt=20): 901 (x * y) * T(y,x) != z * u | z \ ((y * x) * y) = u. [para(897(a,2),457(a,1))]. given #1493 (H,wt=20): 905 x * (y * z) != z * u | (((1 / z) * x) * y) * z = u. [para(120(a,1),19(a,1))]. given #1494 (H,wt=20): 906 x \ (y * (z * x)) != u * x | ((1 / x) * y) * z = u. [para(120(a,1),83(a,1,2)),flip(b)]. given #1495 (H,wt=20): 920 ((1 / x) \ y) * z != x * u | (y * (z / x)) * x = u. [para(121(a,1),19(a,1))]. given #1496 (H,wt=20): 921 x \ (((1 / x) \ y) * z) != u | (y * (z / x)) * x = u. [para(121(a,1),282(a,1,2)),flip(b)]. given #1497 (H,wt=20): 1019 x * ((1 / x) \ y) != z * u | z \ ((x * x) * y) = u. [para(1013(a,1),392(a,1,2))]. given #1498 (H,wt=20): 1032 (x * (y * z)) * (z \ (y \ 1)) = L(x,y * z,y * z). [para(123(a,1),1028(a,1,2))]. given #1499 (H,wt=20): 1080 x * (((y \ 1) \ 1) * x) != z | (x / (1 / y)) * x = z. [para(1058(a,1),645(a,1,2,1))]. given #1500 (H,wt=20): 1291 1 / (x / (x \ y)) != z | ((x \ (y / x)) \ 1) \ 1 = z. [para(1272(a,1),1063(a,1,2))]. given #1501 (H,wt=17): 1845 ((x \ (y / x)) \ 1) \ 1 = (y \ x) \ (1 / x). [hyper(1291,a,1466,a)]. given #1502 (H,wt=20): 1299 x \ (1 / T(y,x \ 1)) != z | (1 / y) * (x \ 1) = z. [para(318(a,1),1207(a,1))]. given #1503 (H,wt=20): 1319 (x / (y \ z)) / ((1 / z) * y) = L(x,y \ z,y \ z). [para(313(a,1),1313(a,1,2))]. given #1504 (H,wt=20): 1328 (x * y) / x != z | (y \ ((x * y) / x)) / (y \ 1) = z. [para(192(a,1),1230(a,1))]. given #1505 (H,wt=20): 1341 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(420,a,xx,b,1228,a),flip(a)]. given #1506 (H,wt=20): 1359 (x * (y \ 1)) * L(z,y / x,y / x) = (y / x) \ z. [para(125(a,1),1349(a,1,1))]. given #1507 (H,wt=20): 1396 (x * y) * ((y \ (x \ 1)) * z) = L(z,x * y,x * y). [para(123(a,1),1389(a,1,2,1))]. given #1508 (H,wt=20): 1397 (x / y) * ((y * (x \ 1)) * z) = L(z,x / y,x / y). [para(125(a,1),1389(a,1,2,1))]. given #1509 (H,wt=20): 1422 (1 / (x * y)) \ x != x * z | T((x \ 1) \ y,x) = z. [para(1355(a,2),167(a,2)),flip(a)]. given #1510 (H,wt=20): 1484 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(73,a,725,a(flip),b,309,a(flip))]. given #1511 (H,wt=20): 1485 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(735(a,1),207(a,1,1)),flip(b)]. given #1512 (H,wt=20): 1489 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(736(a,1),207(a,1,1)),flip(b)]. given #1513 (H,wt=20): 1521 x * (y * ((x \ 1) \ 1)) != z | ((x \ 1) \ y) * x = z. [para(1518(a,1),210(a,1,2))]. given #1514 (H,wt=18): 1849 (1 / (x * y)) \ x != z | ((x \ 1) \ y) * x = z. [para(1172(a,1),1521(a,1))]. given #1515 (H,wt=20): 1579 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(1477(a,2),207(a,1,1)),flip(b)]. given #1516 (H,wt=20): 1584 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(157(a,1),1482(a,2,1,2))]. given #1517 (H,wt=20): 1627 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(665(a,1),172(a,1,2,2))]. given #1518 (H,wt=20): 1651 ((x / y) * y) * z != u * w | T(u,w) = w \ (x * z). [para(113(a,1),548(a,2)),flip(b)]. given #1519 (H,wt=20): 1668 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(113(a,1),588(a,2)),flip(b)]. given #1520 (H,wt=20): 1693 x * (((1 / y) * z) * x) != u | (x / y) * (z * x) = u. [para(675(a,2),1179(a,1))]. given #1521 (H,wt=20): 1696 ((x * (1 / y)) / z) \ x != u | (z / x) * (x * y) = u. [para(676(a,1),1414(a,1,1,1))]. given #1522 (H,wt=20): 1697 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),1487(a,2,1,2,1))]. given #1523 (H,wt=20): 1748 T((x * (y / z)) / x,z) != u | (x * (z \ y)) / x = u. [para(1493(a,1),289(a,1,1)),flip(b)]. given #1524 (H,wt=20): 1750 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(110(a,1),1500(a,1,1,1))]. given #1525 (H,wt=20): 1751 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(515(a,1),1500(a,1,1)),flip(a)]. given #1526 (H,wt=20): 1758 T(((x / y) \ 1) \ 1,y) != z | ((y \ x) \ 1) \ 1 = z. [para(1622(a,1),289(a,1,1)),flip(b)]. given #1527 (H,wt=20): 1806 a(x,y,z) * (z \ ((x * y) \ 1)) = (x * (y * z)) \ 1. [para(123(a,1),256(a,1,2))]. given #1528 (H,wt=20): 1812 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(227,a,86,a(flip),b,473,a)]. given #1529 (H,wt=20): 1841 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(697(a,1),856(a,1,1)),flip(a)]. given #1530 (H,wt=15): 1854 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(227,a,855,a,b,1841,a),flip(a)]. given #1531 (H,wt=11): 1855 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1854(a,2,1)),flip(a)]. given #1532 (H,wt=11): 1857 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1855,a)]. given #1533 (H,wt=13): 1856 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(876,a,1855,a)]. given #1534 (H,wt=13): 1858 K(x,y) / (x \ 1) = x * K(x,y). [hyper(73,a,1855,a(flip),b,639,a)]. given #1535 (H,wt=13): 1860 (1 / x) \ K(x,y) = K(x,y) * x. [para(1855(a,1),1537(a,1,1)),flip(a)]. given #1536 (H,wt=15): 1861 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1855(a,1),1549(a,1,2)),flip(a)]. given #1537 (H,wt=9): 1866 T(x,K(x \ 1,y)) = x. [hyper(167,a,1861,a)]. given #1538 (H,wt=11): 1867 T(1 / x,K(x,y)) = 1 / x. [para(65(a,1),1866(a,1,2,1))]. given #1539 (H,wt=13): 1865 K(x \ 1,x) * x = 1 / (1 / x). [hyper(227,a,1444,a(flip),b,1861,a)]. given #1540 (H,wt=16): 1863 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1857(a,1),380(a,2,1))]. given #1541 (H,wt=15): 1869 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(227,a,156,a(flip),b,1863,a)]. given #1542 (H,wt=13): 1870 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(35,a,1869,a)]. given #1543 (H,wt=16): 1864 K(x,y) / (x \ 1) != z | x * K(x,y) = z. [para(1856(a,1),293(a,1,1)),flip(b)]. given #1544 (H,wt=18): 1859 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1855(a,1),210(a,1,2))]. given #1545 (H,wt=18): 1862 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1857(a,1),210(a,1,2))]. given #1546 (H,wt=20): 1844 x \ (T(y * x,y) * z) != u | (y * (z / x)) * x = u. [para(1209(a,2),921(a,1,2,1))]. given #1547 (H,wt=20): 1851 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),1751(a,1,1,1)),flip(a)]. given #1548 (H,wt=20): 1852 a(x,y,z) * (z \ (y \ (x \ 1))) = (x * (y * z)) \ 1. [para(123(a,1),1806(a,1,2,2))]. given #1549 (H,wt=20): 1872 a(x,y,z) \ ((y * z) \ (x \ 1)) = z \ (y \ (x \ 1)). [hyper(72,a,123,a(flip),b,1852,a)]. given #1550 (H,wt=21): 138 (x \ 1) * ((y * z) * (x \ 1)) = (x \ y) * (z * (x \ 1)). [para(62(a,1),47(a,1,1,1)),flip(a)]. given #1551 (H,wt=17): 1873 (x \ y) * (z * (x \ 1)) = x \ ((y * z) / x). [hyper(1418,a,138,a),flip(a)]. given #1552 (H,wt=17): 1875 x \ (((x * y) * z) / x) = y * (z * (x \ 1)). [para(13(a,1),1873(a,1,1)),flip(a)]. given #1553 (H,wt=17): 1876 1 / (x \ ((y * z) / x)) = (x / z) / (x \ y). [para(1873(a,1),327(a,1,2))]. given #1554 (H,wt=15): 1881 (x / y) / (x \ z) = x / (x \ (z * y)). [hyper(1283,a,1876,a),flip(a)]. given #1555 (H,wt=15): 1882 x / (x \ ((x * y) * z)) = (x / z) / y. [para(13(a,1),1881(a,1,2)),flip(a)]. given #1556 (H,wt=15): 1883 ((x / y) / z) \ x = x \ ((x * z) * y). [para(1882(a,1),65(a,1,1))]. given #1557 (H,wt=17): 1879 x * (y * (z * (x \ 1))) = ((x * y) * z) / x. [para(1875(a,1),14(a,1,2))]. given #1558 (H,wt=19): 1884 1 / (x \ ((x * y) * z)) = (1 / x) * ((x / z) / y). [para(1882(a,1),337(a,1,2)),flip(a)]. given #1559 (H,wt=19): 1885 (x \ ((x * y) * z)) / x = (x * ((x / z) / y)) \ x. [para(1882(a,1),963(a,1,1,2)),flip(a)]. given #1560 (H,wt=18): 1891 (x * ((x / y) / z)) \ x = L(z,x,x) * (y / x). [hyper(227,a,1614,a(flip),b,1885,a(flip))]. given #1561 (H,wt=19): 1886 (x * y) \ (((x * y) * z) * y) = (x / z) \ (x * y). [para(15(a,1),1883(a,1,1,1)),flip(a)]. given #1562 (H,wt=20): 1880 x * (y * (z * (x \ 1))) != u | ((x * y) * z) / x = u. [para(1875(a,1),205(a,1,2)),flip(b)]. given #1563 (H,wt=20): 1890 x \ ((x * y) * L(z,x,x)) = ((x * (1 / z)) / y) \ x. [para(1315(a,1),1883(a,1,1,1)),flip(a)]. given #1564 (H,wt=21): 434 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(114(a,1),191(a,1,1))]. given #1565 (H,wt=19): 1897 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1758,a,434,a),flip(a)]. given #1566 (H,wt=15): 1898 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),1897(a,2,1,1))]. given #1567 (H,wt=21): 451 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(123(a,1),424(a,1,2,2))]. given #1568 (H,wt=19): 1899 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(17,a,424,a,b,451,a),flip(a)]. given #1569 (H,wt=21): 477 (x * y) * L(z,y,x) != (y * z) * u | T(x,y * z) = u. [para(100(a,2),167(a,2)),flip(a)]. given #1570 (H,wt=21): 518 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(157(a,2),110(a,1,1))]. given #1571 (H,wt=21): 542 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(28(a,2),276(a,1,2))]. given #1572 (H,wt=21): 546 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(30(a,2),278(a,1,1))]. given #1573 (H,wt=21): 551 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(136(a,1),278(a,1,1))]. given #1574 (H,wt=21): 552 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(30(a,2),280(a,1,1))]. given #1575 (H,wt=21): 554 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(136(a,1),280(a,1,1))]. given #1576 (H,wt=21): 564 ((x * y) * z) / (y * z) != u * w | R(x,y,z) / w = u. [para(109(a,1),305(a,1,1))]. given #1577 (H,wt=21): 585 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(385(a,2),110(a,1,1))]. given #1578 (H,wt=21): 623 (((1 / x) * y) \ z) * (y \ x) = (y \ x) * (z * (y \ x)). [para(313(a,1),619(a,1,1,1))]. given #1579 (H,wt=21): 686 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(73,a,192,a(flip),b,639,a)]. given #1580 (H,wt=21): 706 ((1 / x) * y) * ((1 / x) * y) = (y \ x) \ ((1 / x) * y). [para(250(a,1),705(a,1,1)),flip(a)]. given #1581 (H,wt=21): 714 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),176(a,1,2,1))]. given #1582 (H,wt=21): 718 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(114(a,1),176(a,1,2,1))]. given #1583 (H,wt=16): 1905 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(718(a,1),1768(a,1,2))]. given #1584 (H,wt=14): 1907 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(668(a,1),1905(a,1,2))]. given #1585 (H,wt=19): 1904 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [hyper(227,a,668,a(flip),b,718,a)]. given #1586 (H,wt=21): 726 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),177(a,1,2,1))]. given #1587 (H,wt=17): 1910 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,177,a,b,726,a),flip(a)]. given #1588 (H,wt=19): 1909 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(227,a,732,a(flip),b,726,a)]. given #1589 (H,wt=21): 727 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(181(a,1),177(a,1,2,1)),flip(a)]. given #1590 (H,wt=19): 1913 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(227,a,1228,a(flip),b,727,a)]. given #1591 (H,wt=19): 1914 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(1489,a,1913,a)]. given #1592 (H,wt=21): 763 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(182(a,2),410(a,1,1))]. given #1593 (H,wt=12): 1915 L(x \ 1,x,x \ 1) = 1 / x. [hyper(763,a,1443,a)]. given #1594 (H,wt=16): 1916 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1915(a,1),40(a,2,1))]. given #1595 (H,wt=18): 1917 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1915(a,1),45(a,1,1)),flip(a)]. given #1596 (H,wt=21): 830 L(T(x,y \ 1),y \ 1,y) != z | y * (x * (y \ 1)) = z. [para(173(a,1),211(a,1)),flip(b)]. given #1597 (H,wt=21): 849 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(380(a,2),100(a,1,2))]. given #1598 (H,wt=13): 1920 T(x,x * (y * T(y \ 1,x))) = x. [para(849(a,1),772(a,1,2))]. given #1599 (H,wt=21): 886 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(835(a,1),100(a,1,2))]. given #1600 (H,wt=17): 1921 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(394,a,886,a),flip(a)]. given #1601 (H,wt=15): 1923 T(x,y) * (x * z) = x * (T(x,y) * z). [para(175(a,1),1921(a,1,2)),flip(a)]. given #1602 (H,wt=15): 1924 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(586,a,1923,a),flip(a)]. given #1603 (H,wt=15): 1925 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(308,a,1923,a),flip(a)]. given #1604 (H,wt=11): 1936 T(x,y) * T(y,x) = x * y. [para(1252(a,1),1925(a,1,2)),flip(a)]. given #1605 (H,wt=9): 1938 T(x,T(y,x)) = T(x,y). [hyper(389,a,1936,a)]. given #1606 (H,wt=11): 1939 (x * y) / T(y,x) = T(x,y). [hyper(85,a,1936,a)]. given #1607 (H,wt=11): 1940 T(x,y) \ (x * y) = T(y,x). [hyper(78,a,1936,a)]. given #1608 (H,wt=11): 1952 T(x,y / x) = T(x,x \ y). [para(115(a,1),1938(a,1,2)),flip(a)]. given #1609 (H,wt=11): 1965 x / T(y,x / y) = y \ x. [para(1952(a,2),190(a,1,2))]. given #1610 (H,wt=13): 1941 T(x,x \ y) \ y = T(x \ y,x). [hyper(72,a,14,a(flip),b,1936,a)]. given #1611 (H,wt=13): 1945 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(599,a,1938,a),flip(a)]. given #1612 (H,wt=13): 1946 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(227,a,1241,a,b,1938,a),flip(a)]. given #1613 (H,wt=13): 1947 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(227,a,1227,a,b,1938,a),flip(a)]. given #1614 (H,wt=12): 1973 T(x,T(y,x)) != z | T(x,y) = z. [para(1947(a,1),1242(a,1))]. given #1615 (H,wt=13): 1949 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(1938(a,1),38(a,1,1)),flip(a)]. given #1616 (H,wt=13): 1950 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),1938(a,1,2))]. given #1617 (H,wt=13): 1953 T(x,x / (y \ 1)) = T(x,y * x). [para(628(a,1),1938(a,1,2)),flip(a)]. given #1618 (H,wt=13): 1958 T(x,x * (y \ 1)) = T(x,y \ x). [para(1201(a,1),1938(a,1,2)),flip(a)]. given #1619 (H,wt=13): 1959 T(x,(1 / y) \ x) = T(x,x * y). [para(1209(a,1),1938(a,1,2))]. given #1620 (H,wt=13): 1962 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),1940(a,1,1)),flip(a)]. given #1621 (H,wt=13): 1969 x / T(y \ x,y) = (y \ x) \ x. [para(62(a,1),1965(a,1,2,2))]. given #1622 (H,wt=13): 1977 T(x,T(x * y,y)) = T(x,x * y). [para(1237(a,1),1950(a,1,2)),flip(a)]. given #1623 (H,wt=14): 1956 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(834(a,1),1938(a,1,2))]. given #1624 (H,wt=14): 1966 T(x,y / x) != z | (x \ y) \ y = z. [para(1952(a,2),416(a,1))]. given #1625 (H,wt=15): 1926 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(227,a,86,a(flip),b,1923,a)]. given #1626 (H,wt=15): 1927 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(72,a,86,a(flip),b,1923,a)]. given #1627 (H,wt=15): 1934 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(78,a,1924,a)]. given #1628 (H,wt=15): 1937 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(420,a,xx,b,1936,a),flip(a)]. given #1629 (H,wt=13): 1983 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(227,a,1949,a(flip),b,1937,a)]. given #1630 (H,wt=13): 1984 T(x,y) * T(T(y,x),x) = y * x. [para(1983(a,1),14(a,1,2))]. given #1631 (H,wt=15): 1951 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),1938(a,1,2))]. given #1632 (H,wt=15): 1964 (x / y) * T(y,y \ x) = y * (x / y). [para(1952(a,1),113(a,1,2))]. given #1633 (H,wt=15): 1968 (x * (y / x)) * x = y * T(x,x \ y). [para(1952(a,1),899(a,2,2))]. given #1634 (H,wt=13): 1986 (x * (y / x)) * x = (x \ 1) \ y. [hyper(227,a,788,a(flip),b,1968,a)]. given #1635 (H,wt=13): 1991 x * (((x \ 1) * y) / x) = y / x. [hyper(73,a,13,a(flip),b,1986,a),flip(a)]. given #1636 (H,wt=13): 1992 (x \ 1) \ (y * x) = (x * y) * x. [para(15(a,1),1986(a,1,1,2)),flip(a)]. given #1637 (H,wt=13): 1993 ((x \ 1) * y) / x = x \ (y / x). [hyper(78,a,1991,a),flip(a)]. given #1638 (H,wt=13): 1994 (x \ (y / x)) * x = (x \ 1) * y. [para(1991(a,1),66(a,1,1,2))]. given #1639 (H,wt=13): 1996 (x \ 1) * ((x * y) * x) = y * x. [para(1992(a,1),14(a,1,2))]. given #1640 (H,wt=13): 1999 (x \ 1) * (y * x) = (x \ y) * x. [para(15(a,1),1994(a,1,1,2)),flip(a)]. given #1641 (H,wt=13): 2005 (x * y) / (1 / x) = x * (y * x). [para(1996(a,1),1394(a,1,2)),flip(a)]. given #1642 (H,wt=13): 2006 x \ (y / (1 / x)) = (x \ y) * x. [hyper(1419,a,1999,a)]. given #1643 (H,wt=13): 2009 x * ((x \ y) * x) = y / (1 / x). [para(1999(a,1),1394(a,1,2))]. given #1644 (H,wt=13): 2012 (x \ (y * (1 / x))) * x = x \ y. [para(15(a,1),2006(a,1,2)),flip(a)]. given #1645 (H,wt=13): 2016 x * ((x \ y) / x) = y * (1 / x). [para(2012(a,1),61(a,1,2,1))]. given #1646 (H,wt=13): 2018 (x * y) * (1 / x) = x * (y / x). [para(13(a,1),2016(a,1,2,1)),flip(a)]. given #1647 (H,wt=15): 1987 (x * T(y,y \ x)) / y = y * (x / y). [hyper(85,a,1968,a)]. given #1648 (H,wt=15): 2010 (x * y) / (1 / y) = y * (T(x,y) * y). [para(113(a,1),2005(a,1,1))]. given #1649 (H,wt=13): 2021 (x * y) / (1 / y) = x * (y * y). [hyper(227,a,907,a(flip),b,2010,a)]. given #1650 (H,wt=13): 2022 (x * (1 / y)) / y = x / (y * y). [hyper(562,a,2021,a),flip(a)]. given #1651 (H,wt=13): 2024 (x / (y * y)) * y = x * (1 / y). [para(2022(a,1),16(a,1,1))]. given #1652 (H,wt=13): 2025 T(x / (y * y),y) = (y \ x) / y. [hyper(166,a,2024,a,b,2016,a)]. given #1653 (H,wt=15): 2014 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(227,a,1187,a,b,2009,a),flip(a)]. given #1654 (H,wt=14): 2030 T(x / (x / y),x) = L(y,y \ x,y). [hyper(166,a,2014,a,b,461,a)]. given #1655 (H,wt=16): 1974 T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. [para(38(a,1),1973(a,1,2))]. given #1656 (H,wt=16): 1975 T(x,(1 / y) \ x) != z | T(x,x * y) = z. [para(1209(a,1),1973(a,1,2))]. given #1657 (H,wt=16): 1990 (x * (y / x)) * x != z | (x \ 1) \ y = z. [para(1968(a,2),885(a,1))]. given #1658 (H,wt=16): 1997 (x \ (y / x)) * x != z | (x \ 1) * y = z. [para(1993(a,1),207(a,1,1)),flip(b)]. given #1659 (H,wt=16): 2001 ((x \ 1) * y) / x != z | x \ (y / x) = z. [para(1994(a,1),293(a,1,1)),flip(b)]. given #1660 (H,wt=16): 2002 (x \ 1) * y != z * x | (x * z) * x = y. [para(1996(a,1),19(a,1)),flip(a)]. given #1661 (H,wt=16): 2003 (x \ 1) \ (y * x) != z | (x * y) * x = z. [para(1996(a,1),282(a,1,2)),flip(b)]. given #1662 (H,wt=16): 2015 x / (1 / y) != y * z | (y \ x) * y = z. [para(2009(a,1),19(a,1))]. given #1663 (H,wt=16): 2023 (x / y) * (y * y) != z | x / (1 / y) = z. [para(2021(a,1),409(a,1))]. given #1664 (H,wt=16): 2033 (x \ y) * x != z | (x \ 1) * (y * x) = z. [para(15(a,1),1997(a,1,1,2))]. given #1665 (H,wt=16): 2034 x * (y * y) != z | (x * y) / (1 / y) = z. [para(15(a,1),2023(a,1,1))]. given #1666 (H,wt=17): 1930 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(113(a,1),1923(a,1,2)),flip(a)]. given #1667 (H,wt=13): 2037 T(x,y) * (y * x) = x * (x * y). [para(1936(a,1),1930(a,1,2)),flip(a)]. given #1668 (H,wt=17): 1960 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [para(1214(a,1),1938(a,1,2)),flip(a)]. given #1669 (H,wt=17): 1972 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1946(a,1,2,1))]. given #1670 (H,wt=15): 2038 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1972(a,2,2))]. given #1671 (H,wt=17): 1978 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(1938(a,1),1950(a,1,2)),flip(a)]. given #1672 (H,wt=15): 2040 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(227,a,1950,a(flip),b,1978,a)]. given #1673 (H,wt=17): 2008 (((x * y) \ 1) \ 1) \ y = 1 / ((y \ x) * y). [para(1999(a,1),1078(a,1,2)),flip(a)]. given #1674 (H,wt=17): 2013 ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). [para(62(a,1),2006(a,1,2,2)),flip(a)]. given #1675 (H,wt=17): 2017 (x \ (1 / (x / y))) * x = x \ ((y \ 1) \ 1). [para(1079(a,1),2012(a,1,1,2))]. given #1676 (H,wt=17): 2019 (x * T(y,x)) * (1 / x) = x * ((1 / x) * y). [hyper(227,a,651,a(flip),b,2018,a)]. given #1677 (H,wt=15): 2043 (x * y) * (1 / y) = y * ((1 / y) * x). [para(113(a,1),2019(a,1,1))]. given #1678 (H,wt=17): 2028 (1 / x) * (y / (x * x)) = ((x \ y) / x) / x. [hyper(73,a,2025,a(flip),b,625,a(flip)),flip(a)]. given #1679 (H,wt=17): 2039 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),2038(a,1,2,1))]. given #1680 (H,wt=13): 2046 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),2039(a,2,2)),flip(a)]. given #1681 (H,wt=13): 2047 T(x,y) / (y \ x) = (x * y) / x. [hyper(73,a,2046,a,b,xx)]. given #1682 (H,wt=13): 2048 ((x * y) / x) \ T(x,y) = y \ x. [hyper(72,a,2046,a,b,xx)]. given #1683 (H,wt=15): 2049 T(x,x / y) / y = (x * (x / y)) / x. [hyper(330,a,2046,a(flip))]. given #1684 (H,wt=13): 2056 T(T(x,x / y) / y,x) = x / y. [para(2049(a,2),160(a,1,1))]. given #1685 (H,wt=15): 2050 ((x * (x / y)) / x) * y = T(x,x / y). [para(65(a,1),2046(a,2,2)),flip(a)]. given #1686 (H,wt=15): 2059 T(x \ T(y,y / x),y) = T(y / x,x). [para(2056(a,1),178(a,1,1)),flip(a)]. given #1687 (H,wt=13): 2062 T(x \ T(y,y / x),y) = x \ y. [hyper(227,a,115,a(flip),b,2059,a)]. given #1688 (H,wt=15): 2060 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(227,a,1491,a(flip),b,2050,a(flip)),flip(a)]. given #1689 (H,wt=15): 2061 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(72,a,2050,a(flip),b,1491,a(flip))]. given #1690 (H,wt=15): 2063 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(62(a,1),2062(a,1,1,2,2))]. given #1691 (H,wt=17): 2041 ((x \ (y \ 1)) \ 1) \ x = 1 / ((x \ y) * x). [para(123(a,1),2008(a,1,1,1))]. given #1692 (H,wt=17): 2053 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),2047(a,1,2)),flip(a)]. given #1693 (H,wt=16): 2069 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(2053(a,1),1629(a,1,1))]. given #1694 (H,wt=14): 2070 x * R(y,x,T(y,x)) = T(y * x,y). [para(2069(a,1),165(a,1,2))]. given #1695 (H,wt=17): 2064 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(65(a,1),2060(a,1,2,1,2))]. given #1696 (H,wt=17): 2068 (((x \ 1) \ y) \ 1) * y = 1 / ((y \ x) * y). [hyper(227,a,1406,a(flip),b,2041,a(flip)),flip(a)]. given #1697 (H,wt=17): 2071 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(2069(a,1),408(a,1))]. given #1698 (H,wt=17): 2072 ((x \ 1) * (1 / y)) * x = 1 / ((x \ y) * x). [para(1070(a,1),2068(a,1,1))]. given #1699 (H,wt=18): 1929 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(1923(a,2),19(a,1))]. given #1700 (H,wt=18): 1935 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1925(a,1),19(a,1))]. given #1701 (H,wt=18): 1948 R(T(x,T(y,R(x,z,u))),z,u) = T(R(x,z,u),y). [hyper(227,a,42,a,b,1938,a(flip)),flip(a)]. given #1702 (H,wt=18): 1981 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1926(a,1),282(a,1,2)),flip(b)]. given #1703 (H,wt=14): 2075 T(x,y) != z | y * (T(y,x) \ x) = z. [para(1940(a,1),1981(a,1))]. given #1704 (H,wt=16): 2074 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(12(a,1),1981(a,1,2))]. given #1705 (H,wt=18): 1982 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(1934(a,1),205(a,1,2)),flip(b)]. given #1706 (H,wt=16): 2076 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(52(a,1),1982(a,1,2,2))]. given #1707 (H,wt=18): 1988 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [hyper(72,a,1968,a(flip),b,824,a)]. given #1708 (H,wt=18): 2026 x * (1 / y) != y * z | T(x / (y * y),y) = z. [para(2024(a,1),167(a,2)),flip(a)]. given #1709 (H,wt=18): 2032 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(2030(a,2),40(a,2,1)),flip(a)]. given #1710 (H,wt=18): 2057 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(2049(a,1),207(a,1,1)),flip(b)]. given #1711 (H,wt=18): 2066 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(2061(a,1),205(a,1,2)),flip(b)]. given #1712 (H,wt=18): 2073 R(T(x,T(y,R(x,z,u))),z,u) = R(T(x,y),z,u). [hyper(227,a,42,a,b,1948,a)]. given #1713 (H,wt=19): 1928 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),1923(a,1,2)),flip(a)]. given #1714 (H,wt=19): 1954 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(1938(a,1),176(a,1,2,1))]. given #1715 (H,wt=14): 2082 L(T(x,y),T(y,x),x) = T(x,y * x). [hyper(17,a,843,a(flip),b,1954,a)]. given #1716 (H,wt=16): 2084 L(x,T(y,x),x) * y = y * T(x,y * x). [para(2082(a,1),176(a,1,2)),flip(a)]. given #1717 (H,wt=18): 2083 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(829(a,1),1954(a,1,2))]. given #1718 (H,wt=19): 1955 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(1938(a,1),177(a,1,2,1))]. given #1719 (H,wt=19): 1976 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),1949(a,1,2))]. given #1720 (H,wt=19): 1980 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(17,a,237,a,b,1926,a)]. given #1721 (H,wt=17): 2087 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(682(a,1),1980(a,1,2))]. given #1722 (H,wt=19): 2020 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(709(a,1),1987(a,1,1,2))]. given #1723 (H,wt=19): 2044 (x * ((1 / x) * y)) \ 1 = (1 / x) \ ((y * x) \ 1). [para(2043(a,1),123(a,1,1))]. given #1724 (H,wt=19): 2081 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(429(a,1),1928(a,1,2))]. given #1725 (H,wt=19): 2085 x * T(y,x * y) != z * x | L(y,T(x,y),y) = z. [para(2084(a,1),20(a,1))]. given #1726 (H,wt=19): 2088 ((1 / x) * y) \ (x \ 1) = (1 / x) \ ((y * x) \ 1). [hyper(311,a,2044,a)]. given #1727 (H,wt=19): 2091 ((1 / x) * y) \ (x \ 1) = (1 / x) \ (x \ (y \ 1)). [para(123(a,1),2088(a,2,2))]. given #1728 (H,wt=19): 2092 ((1 / x) * y) \ (x \ 1) = x * ((1 / x) * (y \ 1)). [hyper(227,a,1374,a(flip),b,2091,a)]. given #1729 (H,wt=20): 1922 T(x,y) * (x * z) != x * u | z * T(T(x,z),y) = u. [para(1921(a,1),19(a,1))]. given #1730 (H,wt=20): 1957 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(1938(a,1),394(a,1,2,1))]. given #1731 (H,wt=20): 1998 (x \ (y / x)) * x != z * u | ((x \ 1) * y) / u = z. [para(1993(a,1),393(a,1,1))]. given #1732 (H,wt=20): 2004 (x \ 1) \ (y * x) != z * u | ((x * y) * x) / u = z. [para(1996(a,1),458(a,1,2))]. given #1733 (H,wt=20): 2031 x * ((x \ y) * x) != y * z | T(y / (y / x),y) = z. [para(2014(a,1),167(a,2)),flip(a)]. given #1734 (H,wt=20): 2036 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(1930(a,1),19(a,1))]. given #1735 (H,wt=20): 2042 x \ ((y \ 1) \ 1) != z * x | x \ (1 / (x / y)) = z. [para(2017(a,1),20(a,1))]. given #1736 (H,wt=20): 2045 ((x \ y) / x) / x != (1 / x) * z | y / (x * x) = z. [para(2028(a,1),19(a,1))]. given #1737 (H,wt=20): 2054 ((x * y) / x) * (y \ x) != z * u | z \ T(x,y) = u. [para(2047(a,1),278(a,1,1))]. given #1738 (H,wt=20): 2055 ((x * y) / x) * (y \ x) != z * u | T(x,y) / u = z. [para(2047(a,1),393(a,1,1))]. given #1739 (H,wt=20): 2065 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(1487(a,2),2060(a,1,2))]. given #1740 (H,wt=17): 2094 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(209,a,2065,a)]. given #1741 (H,wt=20): 2077 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(431(a,2),2076(a,1))]. given #1742 (H,wt=21): 900 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(72,a,897,a(flip),b,92,a)]. given #1743 (H,wt=19): 2095 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(2037(a,1),900(a,1,1))]. given #1744 (H,wt=13): 2096 K(x * y,T(y,x)) = K(y * x,y). [hyper(284,a,2095,a),flip(a)]. given #1745 (H,wt=16): 2097 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(2095(a,1),284(a,1))]. given #1746 (H,wt=21): 929 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),209(a,1,2))]. given #1747 (H,wt=21): 933 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(42(a,1),215(a,1,1))]. given #1748 (H,wt=21): 997 x \ (x / (y * (z * (y * z)))) = (y * z) \ ((y * z) \ 1). [para(940(a,1),989(a,1,2,2))]. given #1749 (H,wt=21): 1016 (1 / (x * y)) * (y \ (x \ 1)) = (x * y) \ ((x * y) \ 1). [para(123(a,1),1012(a,1,2))]. given #1750 (H,wt=21): 1125 (x \ 1) * ((y \ 1) * (1 / x)) = (y / (x \ 1)) \ (x \ 1). [para(1070(a,1),663(a,1,2))]. given #1751 (H,wt=21): 1157 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),474(a,1,1))]. given #1752 (H,wt=21): 1163 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(113(a,1),495(a,2,2))]. given #1753 (H,wt=21): 1169 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(420,a,xx,b,633,a),flip(a)]. given #1754 (H,wt=21): 1170 x * T(((1 / y) * z) * x,u) = T(x / (z \ y),u) * x. [para(313(a,1),646(a,1,2,1,1))]. given #1755 (H,wt=21): 1188 x / (((1 / y) * z) * (y \ 1)) = (1 / x) \ ((y / z) * y). [para(1181(a,1),341(a,2,2))]. given #1756 (H,wt=19): 2100 x / ((y \ 1) * (z / y)) = (1 / x) \ ((y / z) * y). [para(1532(a,1),1188(a,1,2))]. given #1757 (H,wt=21): 1189 (x \ y) / ((1 / (x \ y)) * y) = ((y * x) \ y) * (x \ y). [para(967(a,1),1181(a,2,1))]. given #1758 (H,wt=21): 1269 (x * (y \ x)) \ (x * (y \ 1)) = (y \ 1) \ ((y \ 1) / x). [para(1215(a,1),1000(a,1,1))]. given #1759 (H,wt=21): 1281 ((x * y) \ z) * (y \ (x \ 1)) = (x * y) \ (z / (x * y)). [para(123(a,1),1257(a,1,2))]. given #1760 (H,wt=21): 1282 ((x / y) \ z) * (y * (x \ 1)) = (x / y) \ (z / (x / y)). [para(125(a,1),1257(a,1,2))]. given #1761 (H,wt=21): 1292 1 / (x \ (x / (y \ (z \ x)))) = x / (x \ (z * (y * x))). [para(1175(a,1),1272(a,1,2,2))]. given #1762 (H,wt=21): 1488 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(65(a,1),736(a,1,1,2,1))]. given #1763 (H,wt=21): 1525 (1 / x) * ((y \ (1 / x)) \ z) = ((x / z) * (y \ 1)) \ x. [para(259(a,1),1191(a,1,1,2)),flip(a)]. given #1764 (H,wt=21): 1527 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(420,a,xx,b,1225,a),flip(a)]. given #1765 (H,wt=21): 1591 ((1 / x) * (1 / (y * z))) * y = y \ ((y / x) * (1 / z)). [para(325(a,1),1508(a,1,1,2))]. given #1766 (H,wt=21): 1593 ((x \ (x \ 1)) * (y / z)) * z = z \ ((z / (x * x)) * y). [para(986(a,1),1508(a,1,1,1))]. given #1767 (H,wt=19): 2105 x \ ((x / (y * y)) * z) = ((y * y) \ (z / x)) * x. [para(990(a,1),1593(a,1,1)),flip(a)]. given #1768 (H,wt=21): 1610 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(227,a,1444,a,b,1609,a(flip)),flip(a)]. given #1769 (H,wt=21): 1613 (x / y) \ (((1 / y) * z) \ 1) = ((y \ (z * x)) / y) \ 1. [para(1589(a,1),123(a,1,1)),flip(a)]. given #1770 (H,wt=21): 1621 (1 / x) * ((x * (x / y)) \ 1) = (x \ (y / x)) * (1 / x). [para(963(a,1),1598(a,1,1,2)),flip(a)]. given #1771 (H,wt=19): 2107 (1 / x) * ((x * (x / y)) \ 1) = ((x \ y) / x) / x. [hyper(227,a,1433,a(flip),b,1621,a)]. given #1772 (H,wt=19): 2108 (1 / x) * ((x / y) \ (x \ 1)) = ((x \ y) / x) / x. [para(123(a,1),2107(a,1,2))]. given #1773 (H,wt=13): 2109 (x / y) \ (x \ 1) = y / (x * x). [hyper(17,a,2028,a,b,2108,a)]. given #1774 (H,wt=13): 2110 (x \ y) / (y * y) = x \ (y \ 1). [para(62(a,1),2109(a,1,1)),flip(a)]. given #1775 (H,wt=15): 2112 (x \ (y \ 1)) * y = (x \ y) * (1 / y). [para(2110(a,1),2024(a,1,1))]. given #1776 (H,wt=15): 2113 ((x \ 1) \ y) \ x = (y \ x) * (1 / x). [hyper(227,a,1454,a,b,2112,a(flip)),flip(a)]. given #1777 (H,wt=15): 2115 ((x \ y) \ x) * (1 / x) = (y \ 1) * x. [para(249(a,1),2112(a,1,1)),flip(a)]. given #1778 (H,wt=17): 2111 (x * x) * ((y \ x) \ 1) = (y \ (x \ 1)) \ 1. [para(2110(a,1),125(a,1,1)),flip(a)]. given #1779 (H,wt=19): 2119 ((x \ 1) \ y) * (1 / y) = y * (((y \ x) \ 1) \ 1). [hyper(227,a,1522,a(flip),b,2113,a(flip))]. given #1780 (H,wt=19): 2120 x * (((x \ (1 / y)) \ 1) \ 1) = (y \ x) * (1 / x). [para(65(a,1),2119(a,1,1,1)),flip(a)]. given #1781 (H,wt=21): 1632 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(227,a,102,a(flip),b,382,a)]. given #1782 (H,wt=21): 1635 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(461(a,1),395(a,1))]. given #1783 (H,wt=21): 1664 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(583(a,2),462(a,1,2)),flip(a)]. given #1784 (H,wt=19): 2124 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(271(a,1),1664(a,1,2))]. given #1785 (H,wt=21): 1667 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(584(a,2),309(a,1,1))]. given #1786 (H,wt=21): 1676 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [hyper(227,a,376,a(flip),b,711,a),flip(a)]. given #1787 (H,wt=19): 2126 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(440,a,1676,a)]. given #1788 (H,wt=19): 2127 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(73,a,2126,a,b,429,a)]. given #1789 (H,wt=21): 1678 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(309(a,1),721(a,1))]. given #1790 (H,wt=21): 1685 (x * T(y,x)) * T(x,y) != z * (y * x) | R(x,y,x) = z. [para(898(a,2),20(a,1))]. given #1791 (H,wt=21): 1694 (x \ 1) * L(y * (x \ 1),z,u) = x \ L(y / x,z,u). [para(1030(a,1),1358(a,1,2,1))]. given #1792 (H,wt=21): 1695 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(1348(a,1),1358(a,1,2,1))]. given #1793 (H,wt=21): 1700 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(1675(a,1),20(a,1))]. given #1794 (H,wt=21): 1718 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(62(a,1),1717(a,1,1)),flip(a)]. given #1795 (H,wt=17): 2129 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(62(a,1),1718(a,1,2)),flip(a)]. given #1796 (H,wt=21): 1783 (((x \ y) \ 1) \ 1) \ (y \ 1) = (y \ 1) * (x * (y \ 1)). [para(448(a,1),1781(a,2,2))]. given #1797 (H,wt=17): 2130 (((x \ y) \ 1) \ 1) \ (y \ 1) = y \ (x / y). [hyper(227,a,1361,a(flip),b,1783,a)]. given #1798 (H,wt=20): 2131 (((x \ y) \ 1) \ 1) \ (y \ 1) != z | y \ (x / y) = z. [para(1783(a,2),1418(a,1))]. given #1799 (H,wt=21): 1801 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1779(a,1),115(a,1,1))]. given #1800 (H,wt=21): 1811 (x * y) * L(x * y,z,u) = x * (y * L(x * y,z,u)). [para(956(a,1),470(a,1,2,1))]. given #1801 (H,wt=20): 2132 (x * y) * L(x * y,y,y) = x * ((1 / y) \ (x * y)). [para(1368(a,1),1811(a,2,2))]. given #1802 (H,wt=19): 2133 (x * y) * (x / (1 / y)) = x * ((1 / y) \ (x * y)). [para(1314(a,1),2132(a,1,2))]. given #1803 (H,wt=19): 2134 (x * y) * (x / (1 / y)) = x * (y * (x / (1 / y))). [para(1375(a,1),2133(a,2,2))]. given #1804 (H,wt=21): 1819 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(480(a,1),532(a,1,2,1)),flip(a)]. given #1805 (H,wt=21): 1821 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(512(a,1),535(a,1,1,1))]. given #1806 (H,wt=21): 1823 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(511(a,1),536(a,1,1,1)),flip(a)]. given #1807 (H,wt=21): 1829 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(481(a,1),592(a,1,2,1))]. given #1808 (H,wt=21): 1831 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(404,a,607,a)]. given #1809 (H,wt=19): 2138 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),1831(a,2,1))]. given #1810 (H,wt=19): 2139 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(2138(a,1),250(a,1,1)),flip(a)]. given #1811 (H,wt=21): 1832 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(404,a,608,a)]. given #1812 (H,wt=21): 1833 (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). [hyper(405,a,611,a)]. given #1813 (H,wt=21): 1848 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(385(a,1),1484(a,1,1,2))]. given #1814 (H,wt=21): 1877 (x \ y) * ((z * x) * (x \ 1)) = x \ (x / (z \ (y \ x))). [para(1175(a,1),1873(a,2,2))]. given #1815 (H,wt=18): 2144 x \ (x / (y \ (z \ x))) = (x \ z) * L(y,x,x). [para(1028(a,1),1877(a,1,2)),flip(a)]. given #1816 (H,wt=18): 2145 x * ((x \ y) * L(z,x,x)) = x / (z \ (y \ x)). [para(2144(a,1),14(a,1,2))]. given #1817 (H,wt=20): 2147 T((x \ y) * L(z,x,x),x) = 1 / T(z \ (y \ x),x). [para(2144(a,1),991(a,1,1))]. given #1818 (H,wt=20): 2148 1 / ((x \ y) * L(z,x,x)) = x / (x \ (y * (z * x))). [para(2144(a,1),1292(a,1,2))]. given #1819 (H,wt=21): 1887 ((x / y) / (z \ (z \ 1))) \ x = x \ ((x / (z * z)) * y). [para(987(a,1),1883(a,2,2,1))]. given #1820 (H,wt=19): 2151 ((x / y) * (z * z)) \ x = x \ ((x / (z * z)) * y). [para(982(a,1),1887(a,1,1))]. given #1821 (H,wt=19): 2152 ((x / y) * (z * z)) \ x = ((z * z) \ (y / x)) * x. [hyper(227,a,2105,a(flip),b,2151,a)]. given #1822 (H,wt=21): 1888 x \ ((x * y) * ((1 / x) * z)) = (((x / z) * x) / y) \ x. [para(1181(a,1),1883(a,1,1,1)),flip(a)]. given #1823 (H,wt=17): 2153 x \ ((x * y) * ((1 / x) * z)) = (y / x) * z. [hyper(227,a,1413,a(flip),b,1888,a)]. given #1824 (H,wt=17): 2154 (x / y) * ((1 / y) \ z) = y \ ((y * x) * z). [para(14(a,1),2153(a,1,2,2)),flip(a)]. given #1825 (H,wt=17): 2155 x \ ((x * y) * (1 / z)) = (y / x) * (x / z). [para(337(a,1),2153(a,1,2,2))]. given #1826 (H,wt=21): 1889 (1 / x) \ (x \ ((x * y) * z)) = (((x / z) / y) / x) \ x. [para(1883(a,1),1199(a,1,2))]. given #1827 (H,wt=21): 1901 (1 / x) * (y * ((1 / x) * y)) = (y \ x) \ ((1 / x) * y). [hyper(958,a,706,a)]. given #1828 (H,wt=19): 2159 (x \ y) \ ((1 / y) * x) = (1 / y) * ((x / y) * x). [para(624(a,1),1901(a,1,2)),flip(a)]. given #1829 (H,wt=21): 1903 ((x \ y) \ ((1 / y) * x)) \ 1 = ((1 / y) * x) \ (x \ y). [para(706(a,1),314(a,1,1))]. given #1830 (H,wt=21): 1931 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1923(a,1,1)),flip(a)]. given #1831 (H,wt=19): 2161 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1931(a,1,2,1))]. given #1832 (H,wt=13): 2165 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(227,a,64,a(flip),b,2161,a)]. given #1833 (H,wt=13): 2167 (1 / x) * K(x \ 1,x) = x \ 1. [para(182(a,2),2165(a,1,2))]. given #1834 (H,wt=15): 2164 (1 / x) * ((x \ 1) * y) = x \ (x \ y). [hyper(227,a,1360,a(flip),b,2161,a)]. given #1835 (H,wt=17): 2166 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(65(a,1),2165(a,1,2,1))]. given #1836 (H,wt=13): 2173 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(227,a,65,a(flip),b,2166,a)]. given #1837 (H,wt=19): 2163 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(588,a,2161,a)]. given #1838 (H,wt=19): 2171 (x \ 1) \ ((x \ 1) \ y) = x * (((x \ 1) \ 1) * y). [hyper(301,a,2164,a),flip(a)]. given #1839 (H,wt=19): 2172 x \ (x \ ((y \ 1) \ 1)) = (1 / x) * ((y \ x) \ 1). [para(257(a,1),2164(a,1,2)),flip(a)]. given #1840 (H,wt=19): 2175 x * ((1 / x) * ((y \ x) \ 1)) = x \ ((y \ 1) \ 1). [para(2172(a,1),14(a,1,2))]. given #1841 (H,wt=21): 1943 T(x,T(y / x,z)) * T(x \ y,z) = x * T(y / x,z). [para(178(a,1),1936(a,1,2))]. given #1842 (H,wt=21): 2098 (1 / (x * y)) * (y \ (x \ 1)) = (x * y) \ (y \ (x \ 1)). [para(123(a,1),1016(a,2,2))]. given #1843 (H,wt=21): 2099 (x \ 1) * ((y \ 1) * (1 / x)) = ((1 / y) \ x) \ (x \ 1). [para(317(a,1),1125(a,2,1))]. given #1844 (H,wt=19): 2177 (x \ 1) * ((y \ 1) * (1 / x)) = x \ (y \ (x \ 1)). [hyper(227,a,1596,a(flip),b,2099,a)]. given #1845 (H,wt=19): 2179 x \ ((1 / y) \ (x \ 1)) = (x \ 1) * (y * (1 / x)). [para(65(a,1),2177(a,1,2,1)),flip(a)]. given #1846 (H,wt=19): 2180 x \ ((x * (1 / y)) \ 1) = (x \ 1) * (y * (1 / x)). [para(123(a,2),2179(a,1,2))]. given #1847 (H,wt=15): 2181 (x * (x * (1 / y))) \ x = y * (1 / x). [hyper(1427,a,2180,a)]. given #1848 (H,wt=19): 2182 (x * (1 / y)) \ (1 / x) = (y * (1 / x)) * (1 / x). [para(2181(a,1),1003(a,1,1)),flip(a)]. given #1849 (H,wt=21): 2101 (x \ y) / (((1 / y) * x) * y) = ((y * x) \ y) * (x \ y). [para(313(a,1),1189(a,1,2,1))]. given #1850 (H,wt=17): 2183 ((x * y) \ x) * (y \ x) = (y \ x) / T(y,x). [para(625(a,2),2101(a,1,2)),flip(a)]. given #1851 (H,wt=21): 2102 (x * (y \ x)) \ (x * (y \ 1)) = (y \ 1) \ (y \ (1 / x)). [para(318(a,1),1269(a,2,2))]. given #1852 (H,wt=20): 2184 (x * (y \ x)) \ (x * (y \ 1)) = L(1 / x,y,1 / y). [hyper(227,a,1347,a(flip),b,2102,a)]. given #1853 (H,wt=17): 2185 (x * (y \ x)) \ (x * (y \ 1)) = y \ (y / x). [hyper(227,a,1377,a(flip),b,2184,a)]. given #1854 (H,wt=21): 2103 (x \ (y \ 1)) * (x \ (y \ 1)) = (y * x) \ (1 / (y * x)). [para(123(a,1),1281(a,1,1))]. given #1855 (H,wt=21): 2106 (x / y) \ (((1 / y) * z) \ 1) = y * ((y \ (z * x)) \ 1). [hyper(227,a,125,a(flip),b,1613,a)]. given #1856 (H,wt=19): 2186 (x / y) \ (((1 / y) * z) \ 1) = ((z * x) / y) \ y. [hyper(227,a,663,a(flip),b,2106,a)]. given #1857 (H,wt=15): 2187 ((x * y) / z) \ z = (y / z) \ (x \ z). [para(250(a,1),2186(a,1,2)),flip(a)]. given #1858 (H,wt=19): 2188 (1 / (x * (y \ z))) \ x = (y / x) \ ((1 / z) \ x). [para(328(a,1),2187(a,1,1))]. given #1859 (H,wt=19): 2189 (x / y) \ ((1 / z) \ y) = ((y \ 1) \ (x \ z)) * y. [hyper(1849,a,2188,a),flip(a)]. given #1860 (H,wt=21): 2123 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(78,a,1664,a)]. given #1861 (H,wt=15): 2191 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(858,a,2123,a)]. given #1862 (H,wt=15): 2192 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(72,a,423,a(flip),b,2123,a(flip))]. given #1863 (H,wt=15): 2194 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(227,a,1793,a(flip),b,2191,a)]. given #1864 (H,wt=15): 2195 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(227,a,1706,a(flip),b,2191,a)]. given #1865 (H,wt=15): 2196 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(73,a,2191,a,b,429,a)]. given #1866 (H,wt=15): 2201 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(2194(a,2),16(a,1,1)),flip(a)]. given #1867 (H,wt=17): 2198 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(62(a,1),2192(a,1,2,1,2))]. given #1868 (H,wt=18): 2193 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(2123(a,1),858(a,1))]. given #1869 (H,wt=19): 2203 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),2195(a,2,2))]. given #1870 (H,wt=19): 2206 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(13(a,1),2198(a,1,2,1)),flip(a)]. given #1871 (H,wt=19): 2208 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(2206(a,2),14(a,1,2)),flip(a)]. given #1872 (H,wt=9): 2210 T(x,x * K(y,x)) = x. [para(2208(a,2),1920(a,1,2,2))]. given #1873 (H,wt=13): 2211 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,2210,a)]. given #1874 (H,wt=13): 2213 K(x,y) / (y \ 1) = y * K(x,y). [hyper(1235,a,2211,a)]. given #1875 (H,wt=13): 2214 (x * K(y,x)) \ K(y,x) = x \ 1. [para(2211(a,1),1233(a,1,1))]. given #1876 (H,wt=11): 2216 T(x \ 1,K(y,x)) = x \ 1. [hyper(1203,a,2214,a)]. given #1877 (H,wt=11): 2217 T(K(x,y),y \ 1) = K(x,y). [hyper(35,a,2216,a)]. given #1878 (H,wt=15): 2219 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2217(a,1),1545(a,1,2)),flip(a)]. given #1879 (H,wt=9): 2221 K(1 / x,K(y,x)) = 1. [hyper(71,a,2219,a,b,92,a),flip(a)]. given #1880 (H,wt=9): 2222 K(x,K(y,x \ 1)) = 1. [para(62(a,1),2221(a,1,1))]. given #1881 (H,wt=9): 2223 T(x,K(y,x \ 1)) = x. [hyper(37,a,2222,a)]. given #1882 (H,wt=15): 2220 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(2217(a,1),1573(a,1,1,1))]. given #1883 (H,wt=16): 2218 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2216(a,1),380(a,2,1))]. given #1884 (H,wt=17): 2225 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(2223(a,1),1202(a,1,2)),flip(a)]. given #1885 (H,wt=20): 2209 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(156(a,2),2206(a,1,1,1))]. given #1886 (H,wt=20): 2226 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),2218(a,1,1,1))]. given #1887 (H,wt=13): 2228 T(x \ y,K(z,y \ x)) = x \ y. [hyper(227,a,375,a(flip),b,2226,a)]. given #1888 (H,wt=19): 2229 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2228(a,1),113(a,1,2))]. given #1889 (H,wt=21): 2125 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(773,a,1667,a),flip(a)]. given #1890 (H,wt=19): 2230 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),2125(a,1,1,1))]. given #1891 (H,wt=19): 2233 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(182(a,2),2230(a,1,1))]. given #1892 (H,wt=21): 2135 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(227,a,715,a(flip),b,1821,a)]. given #1893 (H,wt=21): 2137 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),1829(a,1,2,1)),flip(a)]. given #1894 (H,wt=19): 2235 x * L((x \ 1) \ 1,y,z) = (1 / x) \ L(x,y,z). [para(660(a,1),2137(a,1,2,1))]. given #1895 (H,wt=19): 2236 x * L(T(x,x \ 1),y,z) = (1 / x) \ L(x,y,z). [para(114(a,2),2235(a,1,2,1))]. given #1896 (H,wt=18): 2237 x * L(T(x,x \ 1),y,y) = x / ((y * x) \ y). [hyper(227,a,1026,a(flip),b,2236,a)]. given #1897 (H,wt=17): 2238 x * (y * ((x \ y) \ 1)) = x / ((y * x) \ y). [para(1399(a,1),2237(a,1,2))]. given #1898 (H,wt=17): 2239 x * (y * ((x \ y) \ 1)) = (y \ (y / x)) \ x. [hyper(227,a,1499,a(flip),b,2238,a)]. given #1899 (H,wt=21): 2140 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1914(a,1),2139(a,1,1)),flip(a)]. given #1900 (H,wt=21): 2141 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(713(a,1),1832(a,1,2)),flip(a)]. given #1901 (H,wt=19): 2240 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(2165(a,1),2141(a,1,1)),flip(a)]. given #1902 (H,wt=18): 2241 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(227,a,156,a(flip),b,2240,a),flip(a)]. given #1903 (H,wt=17): 2242 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(156(a,1),2241(a,2,2,1)),flip(a)]. given #1904 (H,wt=17): 2243 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [para(2242(a,1),1558(a,1,2)),flip(a)]. given #1905 (H,wt=21): 2142 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(723(a,1),1833(a,1,1))]. given #1906 (H,wt=21): 2143 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(227,a,1491,a(flip),b,1848,a)]. given #1907 (H,wt=21): 2146 x * ((x \ y) * L(z,x,x)) != u | x / (z \ (y \ x)) = u. [para(2144(a,1),205(a,1,2)),flip(b)]. given #1908 (H,wt=21): 2156 x \ ((y / z) * ((1 / z) \ u)) = x \ (z \ ((z * y) * u)). [hyper(72,a,2154,a,b,14,a)]. given #1909 (H,wt=21): 2158 x * ((1 / x) * ((x * y) * z)) = (((x / z) / y) / x) \ x. [hyper(227,a,1374,a(flip),b,1889,a(flip)),flip(a)]. given #1910 (H,wt=19): 2247 (x \ ((x / y) / z)) \ 1 = (1 / x) * ((x * z) * y). [hyper(17,a,663,a,b,2158,a),flip(a)]. given #1911 (H,wt=21): 2160 ((1 / x) * ((y / x) * y)) \ 1 = ((1 / x) * y) \ (y \ x). [para(2159(a,1),1903(a,1,1))]. given #1912 (H,wt=17): 2249 ((1 / x) * y) \ (y \ x) = ((y / x) * y) \ x. [hyper(338,a,2160,a),flip(a)]. given #1913 (H,wt=21): 2197 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(682(a,1),2191(a,1,1))]. given #1914 (H,wt=21): 2202 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1527(a,1),2194(a,1,1))]. given #1915 (H,wt=13): 2250 T(x,x \ 1) / x = K(x,x \ 1). [para(1528(a,1),2202(a,1,1)),flip(a)]. given #1916 (H,wt=11): 2251 K(x,1 / x) = K(x,x \ 1). [hyper(227,a,1111,a(flip),b,2250,a(flip)),flip(a)]. given #1917 (H,wt=11): 2255 K(x,x \ 1) = x * (1 / x). [hyper(403,a,2251,a),flip(a)]. given #1918 (H,wt=11): 2258 x \ K(x,x \ 1) = 1 / x. [hyper(72,a,2251,a(flip),b,235,a(flip))]. given #1919 (H,wt=11): 2263 K(x,x \ 1) = (x \ 1) * x. [hyper(227,a,800,a,b,2255,a)]. given #1920 (H,wt=13): 2252 K(x,x \ 1) * x = T(x,x \ 1). [para(2250(a,1),16(a,1,1))]. given #1921 (H,wt=13): 2253 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),2250(a,1,1))]. given #1922 (H,wt=13): 2256 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(227,a,1148,a,b,2251,a(flip)),flip(a)]. given #1923 (H,wt=13): 2261 (x \ 1) * K(x,x \ 1) = 1 / x. [para(2251(a,1),1116(a,1,2))]. given #1924 (H,wt=13): 2262 K(x,x \ 1) * (1 / (1 / x)) = x. [para(2251(a,1),1149(a,1,1))]. given #1925 (H,wt=13): 2265 K(x,x \ 1) \ 1 = K(1 / x,x). [para(2255(a,2),96(a,1,1))]. given #1926 (H,wt=13): 2266 K(x,x \ 1) * x = (x \ 1) \ 1. [para(2255(a,2),1986(a,1,1))]. given #1927 (H,wt=13): 2267 (1 / (1 / x)) * K(x,x \ 1) = x. [para(2255(a,2),2173(a,1,2))]. given #1928 (H,wt=13): 2274 K(x,x \ 1) \ x = 1 / (1 / x). [para(2256(a,1),65(a,1,1))]. given #1929 (H,wt=13): 2275 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1859,a,2261,a)]. given #1930 (H,wt=14): 2260 K(x,x \ 1) != y | x * (1 / x) = y. [para(2251(a,1),403(a,1))]. given #1931 (H,wt=14): 2264 K(x,x \ 1) != x * y | 1 / x = y. [para(2255(a,2),19(a,1))]. given #1932 (H,wt=14): 2268 x * (1 / x) != y | K(x,x \ 1) = y. [para(2258(a,1),205(a,1,2)),flip(b)]. given #1933 (H,wt=15): 2254 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1514,a,2251,a),flip(a)]. given #1934 (H,wt=11): 2284 K(1 / x,x) = K(x \ 1,x). [para(65(a,1),2254(a,1,2))]. given #1935 (H,wt=13): 2285 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(227,a,2265,a,b,2284,a(flip)),flip(a)]. given #1936 (H,wt=15): 2257 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(227,a,768,a,b,2251,a(flip)),flip(a)]. given #1937 (H,wt=15): 2259 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(62(a,1),2251(a,1,2)),flip(a)]. given #1938 (H,wt=15): 2286 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(62(a,1),2284(a,1,1)),flip(a)]. given #1939 (H,wt=15): 2288 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(227,a,2284,a,b,2257,a(flip)),flip(a)]. given #1940 (H,wt=16): 2276 (x \ 1) * y != 1 / x | K(x,x \ 1) = y. [para(2261(a,1),19(a,1)),flip(a)]. given #1941 (H,wt=16): 2279 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(2266(a,1),293(a,1,1)),flip(b)]. given #1942 (H,wt=17): 2287 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(2285(a,1),263(a,1,2,2))]. given #1943 (H,wt=19): 2269 K(x * y,(x * y) \ 1) = (y \ (x \ 1)) * (x * y). [para(123(a,1),2263(a,2,1))]. given #1944 (H,wt=19): 2289 K(x * y,y \ (x \ 1)) = (y \ (x \ 1)) * (x * y). [hyper(227,a,1899,a(flip),b,2269,a(flip)),flip(a)]. given #1945 (H,wt=21): 2204 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(160(a,1),2195(a,2,2))]. given #1946 (H,wt=21): 2224 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2223(a,1),176(a,1,2,1)),flip(a)]. given #1947 (H,wt=21): 2227 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(2209(a,2),413(a,1,2)),flip(a)]. given #1948 (H,wt=21): 2231 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(429(a,1),2125(a,1,1))]. given #1949 (H,wt=21): 2244 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(2243(a,1),38(a,1,1)),flip(a)]. given #1950 (H,wt=21): 2245 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(85,a,2142,a)]. given #1951 (H,wt=21): 2292 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),2245(a,1,1,1)),flip(a)]. given #1952 (H,wt=22): 240 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(92(a,1),28(a,2,1)),flip(a)]. given #1953 (H,wt=22): 443 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(236(a,1),167(a,2))]. given #1954 (H,wt=22): 678 (x * (y * z)) * ((x * y) \ 1) = T(L(z,y,x),(x * y) \ 1). [para(28(a,2),626(a,1,1)),flip(a)]. given #1955 (H,wt=22): 696 T(x,y) \ x != (T(x,y) \ 1) * z | T(x,T(x,y) \ 1) = z. [para(664(a,1),167(a,2)),flip(a)]. given #1956 (H,wt=22): 746 x * T(y,y \ z) != u * w | u \ (x * ((y \ z) \ z)) = w. [para(245(a,2),457(a,1))]. given #1957 (H,wt=22): 755 (x \ 1) \ ((y \ x) \ 1) != z * u | z \ ((y \ 1) \ 1) = u. [para(257(a,1),307(a,1,2))]. given #1958 (H,wt=22): 775 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(432(a,1),393(a,1,1))]. given #1959 (H,wt=22): 814 T(T(x,y / z),z * (y \ 1)) = R(x,y / z,(y / z) \ 1). [para(125(a,1),813(a,1,2))]. given #1960 (H,wt=22): 817 (x \ R(x,y,z)) \ 1 != u | (x \ 1) \ (R(x,y,z) \ 1) = u. [para(732(a,1),311(a,1,1))]. given #1961 (H,wt=22): 826 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(109(a,1),89(a,1,1))]. given #1962 (H,wt=22): 833 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(109(a,1),173(a,1,2))]. given #1963 (H,wt=22): 839 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(829(a,2),177(a,1,2,1))]. given #1964 (H,wt=19): 2296 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(227,a,469,a(flip),b,839,a(flip)),flip(a)]. given #1965 (H,wt=17): 2297 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(177(a,1),2296(a,1,2)),flip(a)]. given #1966 (H,wt=17): 2298 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(588,a,2297,a)]. given #1967 (H,wt=17): 2299 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(545,a,2297,a)]. given #1968 (H,wt=17): 2300 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(308,a,2297,a),flip(a)]. given #1969 (H,wt=16): 2304 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(166,a,109,a(flip),b,2300,a),flip(a)]. given #1970 (H,wt=14): 2305 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),2304(a,1,2))]. given #1971 (H,wt=14): 2306 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(78,a,2305,a)]. given #1972 (H,wt=17): 2301 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(78,a,2297,a)]. given #1973 (H,wt=19): 2302 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),2297(a,1,2)),flip(a)]. given #1974 (H,wt=20): 2303 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(2299(a,1),281(a,1,1)),flip(b)]. given #1975 (H,wt=22): 848 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),309(a,1,1))]. given #1976 (H,wt=22): 852 (x / y) * T(y,z) != u * (x / y) | T(x / (x / y),z) = u. [para(181(a,1),391(a,1,2,1))]. given #1977 (H,wt=11): 2308 T(x / (x / y),y \ x) = y. [hyper(852,a,1964,a)]. given #1978 (H,wt=13): 2310 T(x / (x / (x / y)),y) = x / y. [para(65(a,1),2308(a,1,2))]. given #1979 (H,wt=15): 2309 T(T(x / (x / y),z),y \ x) = T(y,z). [para(2308(a,1),38(a,1,1)),flip(a)]. given #1980 (H,wt=15): 2311 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(2308(a,1),113(a,1,2)),flip(a)]. given #1981 (H,wt=15): 2312 ((x \ y) * x) / (x \ y) = y / (y / x). [para(2308(a,1),161(a,1,1,2))]. given #1982 (H,wt=14): 2318 T(x / (x / y),y \ x) != z | z = y. [para(2312(a,1),289(a,1,1))]. given #1983 (H,wt=15): 2315 (x * (y / x)) / x = y / (y / (y / x)). [para(2310(a,1),161(a,1,1,2))]. given #1984 (H,wt=15): 2319 L(T(x,x \ 1),1 / x,x) != y | y = x. [para(1151(a,2),2318(a,1))]. given #1985 (H,wt=18): 2313 ((x \ y) * x) / (x \ y) != z | y / (y / x) = z. [para(2308(a,1),297(a,1,1,2)),flip(b)]. given #1986 (H,wt=18): 2317 (x / (x / y)) * (y \ x) != z | (y \ x) * y = z. [para(2312(a,1),207(a,1,1)),flip(b)]. given #1987 (H,wt=20): 2320 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(2315(a,1),1584(a,1,1))]. given #1988 (H,wt=22): 862 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),461(a,1,2))]. given #1989 (H,wt=22): 864 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),462(a,1,2))]. given #1990 (H,wt=22): 866 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(479(a,1),44(a,1,1)),flip(a)]. given #1991 (H,wt=22): 869 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(514(a,1),46(a,1,1)),flip(a)]. given #1992 (H,wt=22): 875 L(x \ 1,y,z) != u * (x \ 1) | x * L(x \ 1,y,z) = u. [para(132(a,1),688(a,1))]. given #1993 (H,wt=22): 893 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(889(a,1),176(a,1,2,1)),flip(a)]. given #1994 (H,wt=19): 2325 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(227,a,501,a(flip),b,893,a(flip))]. given #1995 (H,wt=22): 894 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(889(a,1),177(a,1,2,1)),flip(a)]. given #1996 (H,wt=19): 2326 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(227,a,502,a(flip),b,894,a(flip))]. given #1997 (H,wt=22): 1055 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1049(a,1),383(a,1,2,1))]. given #1998 (H,wt=22): 1124 ((x \ 1) * (1 / y)) / z != u | ((y \ 1) \ x) \ (1 / z) = u. [para(1070(a,1),321(a,1,1))]. given #1999 (H,wt=22): 1354 (x \ 1) \ ((y * (z / x)) * x) = L(((1 / x) \ y) * z,x,x). [para(121(a,1),1348(a,1,1)),flip(a)]. given #2000 (H,wt=20): 2327 L(((1 / x) \ y) * z,x,x) = (x * (y * (z / x))) * x. [hyper(2003,a,1354,a),flip(a)]. given #2001 (H,wt=22): 1383 x * ((y * (z * (1 / x))) * x) = ((1 / x) \ y) * L(z,x,x). [para(1379(a,1),47(a,1,2)),flip(a)]. given #2002 (H,wt=22): 1478 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(73,a,100,a(flip),b,717,a),flip(a)]. given #2003 (H,wt=22): 1481 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(215,a,725,a)]. given #2004 (H,wt=22): 1495 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(777(a,1),210(a,1,2))]. given #2005 (H,wt=22): 1580 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(102(a,1),1477(a,2,1,2))]. given #2006 (H,wt=22): 1581 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(219(a,1),1477(a,2,1,2))]. given #2007 (H,wt=22): 1582 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(379(a,1),1477(a,2,1,2))]. given #2008 (H,wt=22): 1585 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(1482(a,1),109(a,1,1))]. given #2009 (H,wt=22): 1587 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(511(a,1),1482(a,2,1,2))]. given #2010 (H,wt=22): 1640 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(113(a,1),485(a,1,1,1)),flip(a)]. given #2011 (H,wt=22): 1644 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(515(a,1),902(a,2,1))]. given #2012 (H,wt=22): 1652 (x \ y) * ((z \ 1) \ 1) != u | (z \ ((1 / y) * x)) \ 1 = u. [para(250(a,1),568(a,1,1))]. given #2013 (H,wt=22): 1655 (x \ (y \ (z \ 1))) / u != w | ((z * y) * x) \ (1 / u) = w. [para(123(a,1),569(a,1,1,2))]. given #2014 (H,wt=22): 1660 (((x \ 1) \ 1) * y) / z != u | 1 / (z * (y \ (1 / x))) = u. [para(1058(a,1),578(a,1,1,1))]. given #2015 (H,wt=22): 1680 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(62(a,1),773(a,1,1,1))]. given #2016 (H,wt=22): 1681 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(113(a,1),823(a,1,1))]. given #2017 (H,wt=21): 2337 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(227,a,860,a(flip),b,1681,a)]. given #2018 (H,wt=21): 2338 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(2337(a,1),65(a,1,1))]. given #2019 (H,wt=22): 1698 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),1487(a,2,1,2))]. given #2020 (H,wt=22): 1713 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1711(a,1),840(a,1,1,2))]. given #2021 (H,wt=22): 1721 ((x * y) \ z) \ 1 != (z \ 1) * u | (y \ (x \ 1)) \ 1 = u. [para(751(a,1),19(a,1))]. given #2022 (H,wt=22): 1724 (((1 / x) * y) \ z) \ 1 != (z \ 1) * u | (y \ x) \ 1 = u. [para(754(a,2),19(a,1))]. given #2023 (H,wt=22): 1733 1 / (x / (1 / y)) != (1 / y) * z | y * (1 / (x * y)) = z. [para(1141(a,1),19(a,1))]. given #2024 (H,wt=22): 1747 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(1493(a,1),207(a,1,1)),flip(b)]. given #2025 (H,wt=22): 1757 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(1622(a,1),207(a,1,1)),flip(b)]. given #2026 (H,wt=22): 1765 T(x * y,x \ 1) != x * z | ((x \ 1) \ y) * (x \ 1) = z. [para(1670(a,1),19(a,1))]. given #2027 (H,wt=22): 1776 (x \ (x / (y \ 1))) / (y \ 1) = 1 / (y \ L(1 / y,x,x)). [para(1738(a,1),1036(a,1,2)),flip(a)]. given #2028 (H,wt=21): 2341 (x \ (x / (y \ 1))) / (y \ 1) = 1 / (y \ (x \ (x / y))). [para(1371(a,1),1776(a,2,2,2))]. given #2029 (H,wt=21): 2342 (x \ (x / (y \ 1))) / (y \ 1) = (1 / (x \ (x / y))) * y. [hyper(227,a,313,a(flip),b,2341,a)]. given #2030 (H,wt=21): 2343 (x \ (x / (y \ 1))) / (y \ 1) = ((1 / (x / y)) * x) * y. [para(313(a,1),2342(a,2,1))]. given #2031 (H,wt=22): 1780 ((x \ 1) \ 1) \ y != y * z | ((y \ (x \ y)) \ 1) \ 1 = z. [para(1752(a,1),19(a,1))]. given #2032 (H,wt=22): 1791 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(1761(a,1),205(a,1,2)),flip(b)]. given #2033 (H,wt=22): 1807 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(636(a,1),310(a,1,2,2))]. given #2034 (H,wt=21): 2344 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(227,a,1151,a(flip),b,1807,a)]. given #2035 (H,wt=21): 2345 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2344(a,1),14(a,1,2))]. given #2036 (H,wt=21): 2346 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2251(a,1),2345(a,1,1))]. given #2037 (H,wt=22): 1836 (x * y) * ((1 / y) * (1 / y)) = R(x,y,1 \ 1) * (1 / y). [para(1834(a,1),909(a,1,1)),flip(a)]. given #2038 (H,wt=20): 2348 (x * y) * ((1 / y) * (1 / y)) = R(x,y,1) * (1 / y). [para(50(a,1),1836(a,2,1,3))]. given #2039 (H,wt=17): 2350 (x * y) * ((1 / y) * (1 / y)) = x * (1 / y). [para(371(a,1),2348(a,2,1))]. given #2040 (H,wt=17): 2351 (x * y) * (1 * (y \ (1 / y))) = x * (1 / y). [para(926(a,1),2350(a,1,2))]. given #2041 (H,wt=15): 2352 (x * y) * (y \ (1 / y)) = x * (1 / y). [para(11(a,1),2351(a,1,2))]. given #2042 (H,wt=15): 2353 (x / y) * (1 / y) = x * (y \ (1 / y)). [hyper(306,a,2352,a),flip(a)]. given #2043 (H,wt=15): 2355 (x / y) \ (1 / x) = y * (x \ (1 / x)). [hyper(227,a,1002,a,b,2353,a(flip)),flip(a)]. given #2044 (H,wt=15): 2356 (x * (y \ (1 / y))) * y = x * (y \ 1). [para(2355(a,1),319(a,1,1))]. given #2045 (H,wt=18): 2354 x * (y \ (1 / y)) != z * (1 / y) | z * y = x. [para(2352(a,1),20(a,1)),flip(a)]. given #2046 (H,wt=22): 1868 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1867(a,1),868(a,1,1)),flip(a)]. given #2047 (H,wt=15): 2360 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(227,a,386,a(flip),b,1868,a)]. given #2048 (H,wt=13): 2361 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),2360(a,1,1,1))]. given #2049 (H,wt=15): 2362 T(x \ y,K(x / y,z)) = T(y / x,x). [para(2361(a,1),178(a,1,1)),flip(a)]. given #2050 (H,wt=13): 2363 T(x \ y,K(x / y,z)) = x \ y. [hyper(227,a,115,a(flip),b,2362,a)]. given #2051 (H,wt=22): 1892 (x * ((x / T(y,x)) / z)) \ x = L(z,x,x) * ((1 / x) * y). [hyper(227,a,651,a(flip),b,1891,a)]. given #2052 (H,wt=22): 1893 (L(x,y,y) * (z / y)) / (1 / y) = (y \ ((y / z) / x)) \ 1. [hyper(73,a,1891,a(flip),b,1625,a)]. given #2053 (H,wt=22): 1911 (x \ 1) * R((x \ 1) \ 1,y,z) != u | x \ R(x,y,z) = u. [para(726(a,2),815(a,1))]. given #2054 (H,wt=22): 1932 T(x,y) \ (x * (T(x,y) * z)) != u * w | u \ (x * z) = w. [para(1923(a,1),307(a,1,2))]. given #2055 (H,wt=22): 1933 T(x,y) \ (x * (T(x,y) * z)) != u * w | (x * z) / w = u. [para(1923(a,1),458(a,1,2))]. given #2056 (H,wt=22): 1944 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(1936(a,1),109(a,1,2))]. given #2057 (H,wt=13): 2365 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(18,a,898,a(flip),b,1944,a)]. given #2058 (H,wt=19): 2366 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(2365(a,1),46(a,1,1)),flip(a)]. given #2059 (H,wt=22): 1979 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,461,a,b,1926,a)]. given #2060 (H,wt=22): 1989 (x * (y / x)) * x != z * u | z \ (y * T(x,x \ y)) = u. [para(1968(a,2),457(a,1))]. given #2061 (H,wt=22): 2035 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,461,a,b,1930,a)]. given #2062 (H,wt=22): 2058 ((x * (x / y)) / x) * y != z * u | z \ T(x,x / y) = u. [para(2049(a,1),278(a,1,1))]. given #2063 (H,wt=22): 2067 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(2061(a,1),392(a,1,2))]. given #2064 (H,wt=22): 2078 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(1108(a,1),2073(a,2,1))]. given #2065 (H,wt=22): 2089 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(2081(a,1),19(a,1))]. given #2066 (H,wt=22): 2090 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(2081(a,2),19(a,2))]. given #2067 (H,wt=22): 2116 (x \ (y \ 1)) * y != z * u | z \ ((x \ y) * (1 / y)) = u. [para(2112(a,2),457(a,1))]. given #2068 (H,wt=22): 2176 x \ (x \ ((y \ 1) \ 1)) != z | (1 / x) * ((y \ x) \ 1) = z. [para(2175(a,1),282(a,1,2)),flip(b)]. given #2069 (H,wt=22): 2199 x * T(x \ 1,y) != z * u | K(y \ (y / x),y) / u = z. [para(2192(a,1),276(a,1,2))]. given #2070 (H,wt=22): 2294 (x * (y * z)) * ((x * y) \ 1) = T(L(z,y,x),y \ (x \ 1)). [para(123(a,1),678(a,2,2))]. given #2071 (H,wt=22): 2295 T(T(x,y / z),z * (y \ 1)) = R(x,y / z,z * (y \ 1)). [para(125(a,1),814(a,2,3))]. given #2072 (H,wt=22): 2314 ((x \ y) * x) / (x \ y) != z * u | z \ (y / (y / x)) = u. [para(2308(a,1),559(a,1,1,2))]. given #2073 (H,wt=22): 2316 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(2310(a,1),868(a,1,1))]. given #2074 (H,wt=20): 2369 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(227,a,777,a(flip),b,2316,a)]. given #2075 (H,wt=22): 2340 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(227,a,433,a(flip),b,1698,a)]. given #2076 (H,wt=22): 2364 (x * (T(x / y,x) / z)) \ x = L(z,x,x) * ((1 / x) * y). [para(1223(a,1),1892(a,1,1,2,1))]. given #2077 (H,wt=22): 2368 (x * (y * z)) * ((x * y) \ 1) = L(T(z,y \ (x \ 1)),y,x). [hyper(227,a,40,a,b,2294,a)]. given #2078 (H,wt=22): 2371 (x * (y * z)) * (y \ (x \ 1)) = L(T(z,y \ (x \ 1)),y,x). [para(123(a,1),2368(a,1,2))]. given #2079 (H,wt=23): 466 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(100(a,1),28(a,2,2,2)),flip(a)]. given #2080 (H,wt=23): 472 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(100(a,1),92(a,1,1))]. given #2081 (H,wt=23): 490 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(100(a,1),102(a,2,2))]. given #2082 (H,wt=23): 497 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(109(a,1),26(a,2,1)),flip(a)]. given #2083 (H,wt=23): 498 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(109(a,1),30(a,2,1,1)),flip(a)]. given #2084 (H,wt=23): 504 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(109(a,1),92(a,1,1))]. given #2085 (H,wt=23): 520 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(109(a,1),110(a,2,1))]. given #2086 (H,wt=23): 522 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(110(a,2),110(a,1,1))]. given #2087 (H,wt=23): 557 ((x * y) * z) / a(x,y,z) != u * w | u \ (x * (y * z)) = w. [para(24(a,2),302(a,1,2))]. given #2088 (H,wt=23): 587 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(24(a,2),392(a,1,2))]. given #2089 (H,wt=23): 598 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),416(a,1))]. given #2090 (H,wt=23): 741 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(244(a,2),26(a,2,1)),flip(a)]. given #2091 (H,wt=23): 745 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(72,a,245,a(flip),b,92,a)]. given #2092 (H,wt=23): 765 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(418(a,2),190(a,1,2,2))]. given #2093 (H,wt=23): 884 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(738(a,1),774(a,1,1))]. given #2094 (H,wt=23): 930 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),209(a,1,2))]. given #2095 (H,wt=23): 931 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(45(a,1),209(a,1,2))]. given #2096 (H,wt=23): 934 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(44(a,1),215(a,1,1))]. given #2097 (H,wt=23): 935 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(46(a,1),215(a,1,1))]. given #2098 (H,wt=23): 1119 (x \ ((y \ (z \ 1)) \ 1)) \ 1 = (1 / (z * y)) * ((x \ 1) \ 1). [para(1062(a,1),257(a,1,1)),flip(a)]. given #2099 (H,wt=23): 1143 T(T(x,y * z),z \ (y \ 1)) != u | L(x,y * z,y * z) = u. [para(123(a,1),1136(a,1,2))]. given #2100 (H,wt=23): 1164 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(182(a,2),495(a,2,2))]. given #2101 (H,wt=23): 1171 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),669(a,1,1)),flip(a)]. given #2102 (H,wt=21): 2376 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1171(a,1,2)),flip(a)]. given #2103 (H,wt=23): 1277 x * ((1 / (x \ 1)) \ (y / (x \ 1))) = (x * ((x \ 1) * y)) * x. [para(673(a,2),1246(a,1,2))]. given #2104 (H,wt=19): 2378 (x * ((x \ 1) * y)) * x = x * (x \ (y / (x \ 1))). [para(62(a,1),1277(a,1,2,1)),flip(a)]. given #2105 (H,wt=15): 2379 (x * ((x \ 1) * y)) * x = y / (x \ 1). [hyper(227,a,14,a(flip),b,2378,a)]. given #2106 (H,wt=23): 1343 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1228(a,1),167(a,2)),flip(a)]. given #2107 (H,wt=23): 1403 T(((1 / (x \ 1)) \ y) * (1 / x),x) = ((x \ 1) * (x \ 1)) * y. [hyper(227,a,1017,a(flip),b,1395,a)]. given #2108 (H,wt=21): 2382 T(((1 / (x \ 1)) \ y) * (1 / x),x) = (x \ (1 / x)) * y. [para(1257(a,1),1403(a,2,1))]. given #2109 (H,wt=17): 2383 T((x \ y) * (1 / x),x) = (x \ (1 / x)) * y. [para(62(a,1),2382(a,1,1,1,1))]. given #2110 (H,wt=15): 2384 (x \ (1 / x)) * y = (x \ 1) * (x \ y). [hyper(227,a,1395,a(flip),b,2383,a(flip))]. given #2111 (H,wt=23): 1408 ((1 / x) * (y * (z \ 1))) \ (z / y) = ((z / y) * x) * (z / y). [para(125(a,1),1275(a,1,1,2))]. given #2112 (H,wt=23): 1420 (1 / (x * y)) \ ((y \ (x \ 1)) \ z) = (x * y) * ((x * y) * z). [para(123(a,1),1353(a,1,2,1))]. given #2113 (H,wt=23): 1434 (x * y) * ((y \ (x \ 1)) * z) != u | L(z,x * y,x * y) = u. [para(123(a,1),1390(a,1,2,1))]. given #2114 (H,wt=23): 1492 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(114(a,1),776(a,1,2,1,2))]. given #2115 (H,wt=21): 2386 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(227,a,671,a(flip),b,1492,a)]. given #2116 (H,wt=23): 1501 (1 / x) \ ((((1 / x) * y) * z) / u) = (y * (z * x)) / (u * x). [para(120(a,1),903(a,1,1)),flip(a)]. given #2117 (H,wt=23): 1631 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(381(a,2),100(a,1,2))]. given #2118 (H,wt=23): 1633 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(382(a,1),100(a,1,2))]. given #2119 (H,wt=23): 1636 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(102(a,1),468(a,1,2,1))]. given #2120 (H,wt=23): 1637 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(219(a,1),468(a,1,2,1))]. given #2121 (H,wt=23): 1642 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(226(a,1),500(a,1,1,1)),flip(a)]. given #2122 (H,wt=23): 1682 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(837(a,1),100(a,1,2))]. given #2123 (H,wt=19): 2389 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(395,a,1682,a),flip(a)]. given #2124 (H,wt=17): 2390 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(176(a,1),2389(a,1,2)),flip(a)]. given #2125 (H,wt=17): 2392 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(588,a,2390,a)]. given #2126 (H,wt=17): 2393 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(586,a,2390,a),flip(a)]. given #2127 (H,wt=17): 2394 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(308,a,2390,a),flip(a)]. given #2128 (H,wt=17): 2395 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(78,a,2390,a)]. given #2129 (H,wt=17): 2396 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(72,a,86,a(flip),b,2390,a)]. given #2130 (H,wt=17): 2398 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(78,a,2393,a)]. given #2131 (H,wt=19): 2399 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(72,a,32,a,b,2393,a),flip(a)]. given #2132 (H,wt=20): 2400 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(2394(a,1),19(a,1))]. given #2133 (H,wt=20): 2403 L(x,y,z) * (x \ (L(x,y,z) \ u)) != w | x \ u = w. [para(2398(a,1),205(a,1,2)),flip(b)]. given #2134 (H,wt=18): 2405 L(x,y,z) * (x \ 1) != u | x \ L(x,y,z) = u. [para(52(a,1),2403(a,1,2,2))]. given #2135 (H,wt=20): 2404 x * (L(x,y,z) \ (x \ u)) != w | L(x,y,z) \ u = w. [para(2398(a,2),205(a,1,2)),flip(b)]. given #2136 (H,wt=20): 2407 x * (L(x,y,z) \ u) != w | L(x,y,z) \ (x * u) = w. [para(13(a,1),2404(a,1,2,2))]. given #2137 (H,wt=21): 2397 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(2255(a,2),2390(a,1,2))]. given #2138 (H,wt=21): 2402 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(2255(a,2),2396(a,1,2))]. given #2139 (H,wt=21): 2408 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(227,a,2224,a(flip),b,2397,a(flip)),flip(a)]. given #2140 (H,wt=22): 2406 (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. [para(718(a,2),2405(a,1))]. given #2141 (H,wt=23): 1689 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1113(a,1),828(a,1,2))]. given #2142 (H,wt=23): 1722 (x \ 1) * (((y \ 1) \ 1) * (z \ 1)) = ((y * (1 / z)) \ x) \ 1. [para(333(a,1),751(a,1,2))]. given #2143 (H,wt=23): 1731 ((x \ (y \ 1)) \ 1) * ((1 / z) * u) = 1 / ((u \ z) / (y * x)). [para(123(a,1),1131(a,1,1,1))]. given #2144 (H,wt=23): 1732 ((x \ 1) \ 1) * (((1 / y) * z) * u) = 1 / ((u \ (z \ y)) / x). [para(313(a,1),1131(a,1,2,1))]. given #2145 (H,wt=23): 1749 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(65(a,1),1494(a,1,2,2,1,2))]. given #2146 (H,wt=23): 1769 (x * ((y \ (z \ 1)) \ u)) \ x = x \ (x / ((z * y) / (1 / u))). [para(123(a,1),1734(a,1,1,2,1))]. given #2147 (H,wt=23): 1795 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(1766(a,1),423(a,1,2))]. given #2148 (H,wt=23): 1796 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(227,a,1647,a(flip),b,1767,a)]. given #2149 (H,wt=23): 1800 (1 / x) * ((y * (1 / x)) \ (z \ 1)) = (y \ (z \ (1 / x))) * x. [para(65(a,1),1771(a,1,2)),flip(a)]. given #2150 (H,wt=23): 1815 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(501(a,1),20(a,1))]. given #2151 (H,wt=23): 1818 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(531(a,2),19(a,1))]. given #2152 (H,wt=23): 1822 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(536(a,2),20(a,1))]. given #2153 (H,wt=23): 1840 T(x,y) * z != L(y,T(x,y),y) * T(x,y) | T(y,x * y) = z. [para(843(a,2),19(a,1)),flip(a)]. given #2154 (H,wt=23): 1842 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(865(a,1),461(a,1,2)),flip(a)]. given #2155 (H,wt=21): 2414 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(72,a,113,a(flip),b,1842,a),flip(a)]. given #2156 (H,wt=21): 2415 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),1842(a,2,2,1,2))]. given #2157 (H,wt=19): 2418 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(2191(a,2),2415(a,1,2)),flip(a)]. given #2158 (H,wt=19): 2419 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(457,a,2418,a),flip(a)]. given #2159 (H,wt=21): 2416 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(78,a,2415,a),flip(a)]. given #2160 (H,wt=21): 2417 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(271(a,1),2415(a,1,2)),flip(a)]. given #2161 (H,wt=21): 2421 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),2418(a,1,2,1)),flip(a)]. given #2162 (H,wt=21): 2425 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(65(a,1),2419(a,2,2,2,1))]. given #2163 (H,wt=23): 1843 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(868(a,1),494(a,1,1)),flip(a)]. given #2164 (H,wt=23): 1853 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1812(a,1),19(a,1)),flip(a)]. given #2165 (H,wt=23): 1908 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [para(1907(a,1),1244(a,1,1))]. given #2166 (H,wt=23): 1918 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1916(a,1),473(a,1,2))]. given #2167 (H,wt=23): 1995 ((x * ((1 / (x \ 1)) \ y)) * x) / (x \ 1) = y * (x / (x \ 1)). [hyper(73,a,1992,a(flip),b,918,a(flip))]. given #2168 (H,wt=19): 2429 ((x * (x \ y)) * x) / (x \ 1) = y * (x / (x \ 1)). [para(62(a,1),1995(a,1,1,1,2,1))]. given #2169 (H,wt=15): 2430 (x * y) / (y \ 1) = x * (y / (y \ 1)). [para(14(a,1),2429(a,1,1,1))]. given #2170 (H,wt=15): 2431 (1 / (x * y)) \ y = x * (y / (y \ 1)). [hyper(334,a,2430,a)]. given #2171 (H,wt=15): 2433 (1 / (x * y)) \ y = x * ((1 / y) \ y). [para(317(a,1),2431(a,2,2))]. given #2172 (H,wt=15): 2434 (x * ((1 / y) \ y)) / y = x / (1 / y). [hyper(73,a,2433,a(flip),b,1142,a(flip))]. given #2173 (H,wt=23): 2051 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(388(a,1),2046(a,2,2)),flip(a)]. given #2174 (H,wt=20): 2435 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(227,a,1585,a(flip),b,2051,a(flip)),flip(a)]. given #2175 (H,wt=20): 2436 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1491(a,1),2435(a,1,1))]. given #2176 (H,wt=23): 2121 ((x * (y \ 1)) \ z) * (1 / z) = z * (((z \ (y / x)) \ 1) \ 1). [para(125(a,1),2119(a,1,1,1))]. given #2177 (H,wt=23): 2162 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(160(a,1),1931(a,1,2,1)),flip(a)]. given #2178 (H,wt=19): 2438 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),2162(a,1,1)),flip(a)]. given #2179 (H,wt=19): 2439 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(588,a,2438,a)]. given #2180 (H,wt=19): 2440 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(72,a,86,a(flip),b,2438,a)]. given #2181 (H,wt=23): 2178 (x \ 1) \ (y \ ((x \ 1) \ 1)) = ((x \ 1) \ 1) * ((y \ 1) * x). [para(62(a,1),2177(a,1,2,2)),flip(a)]. given #2182 (H,wt=23): 2307 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(385(a,1),848(a,1,1,1))]. given #2183 (H,wt=23): 2334 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(73,a,1587,a(flip),b,185,a),flip(a)]. given #2184 (H,wt=17): 2443 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(2057,a,2334,a),flip(a)]. given #2185 (H,wt=19): 2444 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),2443(a,1,1,1,2)),flip(a)]. given #2186 (H,wt=23): 2336 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(1644(a,1),719(a,1,2))]. given #2187 (H,wt=19): 2445 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [para(13(a,1),2336(a,1,2,1)),flip(a)]. given #2188 (H,wt=15): 2447 (x * T(y,z)) * y = (x * y) * T(y,z). [para(430(a,1),2445(a,1,1))]. given #2189 (H,wt=13): 2452 T(x * T(y,x * y),y) = x * y. [hyper(166,a,2447,a,b,113,a(flip))]. given #2190 (H,wt=15): 2448 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(591,a,2447,a)]. given #2191 (H,wt=15): 2450 (x * T(y,x * y)) * y = y * (x * y). [hyper(227,a,113,a(flip),b,2447,a)]. given #2192 (H,wt=13): 2459 x * T(y,x * y) = (1 / y) \ x. [hyper(18,a,619,a,b,2450,a)]. given #2193 (H,wt=13): 2460 T(x,y * x) = T(1 / x,y) \ 1. [hyper(17,a,659,a,b,2459,a)]. given #2194 (H,wt=11): 2461 T(x,y * x) = T(x,x * y). [hyper(227,a,1562,a,b,2460,a)]. given #2195 (H,wt=11): 2465 T(x,(x \ y) * x) = T(x,y). [para(14(a,1),2461(a,2,2))]. given #2196 (H,wt=12): 2463 L(T(x,y),y,x) = T(x,y * x). [hyper(227,a,829,a,b,2461,a),flip(a)]. given #2197 (H,wt=12): 2469 R(T(x,x * y),y,x) = T(x,y). [para(2461(a,1),891(a,1,1))]. given #2198 (H,wt=13): 2471 T(x,(x \ 1) * (y * x)) = T(x,y). [para(1999(a,2),2465(a,1,2))]. given #2199 (H,wt=14): 2462 T(x,y * x) != z | T(x,x * y) = z. [para(2460(a,2),1563(a,1))]. given #2200 (H,wt=14): 2468 x * T(y,x * y) = L(y,x,y) * x. [para(2461(a,2),838(a,1,2))]. given #2201 (H,wt=11): 2474 L(x,T(y,x),x) = L(x,y,x). [hyper(2085,a,2468,a)]. given #2202 (H,wt=12): 2476 T(L(x,y,x) * y,x) = y * x. [para(2468(a,1),2452(a,1,1))]. given #2203 (H,wt=13): 2475 L(x,y,(y * x) / y) = L(x,y,x). [hyper(1700,a,2468,a)]. given #2204 (H,wt=14): 2470 R(T(x,y),x \ y,x) = T(x,x \ y). [para(2465(a,1),891(a,1,1))]. given #2205 (H,wt=14): 2477 (L(x,y,x) * y) * x = x * (y * x). [para(2468(a,1),2450(a,1,1))]. given #2206 (H,wt=9): 2481 L(R(x,y,x),y,x) = x. [hyper(1815,a,2477,a)]. given #2207 (H,wt=14): 2478 (x * (y * x)) / x = L(x,y,x) * y. [para(2476(a,1),161(a,1,1,2))]. given #2208 (H,wt=14): 2479 T(x,L(x,y,x) * y) = T(x,y * x). [para(2476(a,1),1938(a,1,2)),flip(a)]. given #2209 (H,wt=14): 2480 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(227,a,114,a(flip),b,2470,a)]. given #2210 (H,wt=14): 2482 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(72,a,2478,a,b,xx)]. given #2211 (H,wt=14): 2483 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(227,a,2461,a(flip),b,2479,a)]. given #2212 (H,wt=15): 2451 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(227,a,87,a(flip),b,2447,a)]. given #2213 (H,wt=11): 2486 T((x / y) * T(y,x),y) = x. [hyper(166,a,2451,a,b,113,a(flip))]. given #2214 (H,wt=13): 2487 (x / y) * T(y,x) = (y * x) / y. [hyper(73,a,113,a(flip),b,2451,a),flip(a)]. given #2215 (H,wt=13): 2489 T(x * T(x \ y,y),x \ y) = y. [para(62(a,1),2486(a,1,1,1))]. given #2216 (H,wt=9): 2496 T(T(x,y),y \ x) = x. [para(770(a,1),2489(a,1,1))]. given #2217 (H,wt=9): 2497 T(T(x,y \ x),y) = x. [hyper(439,a,2496,a)]. given #2218 (H,wt=9): 2500 T(T(x,y),x / y) = x. [para(65(a,1),2497(a,1,1,2))]. given #2219 (H,wt=11): 2499 T(x,y \ x) = (y * x) / y. [para(2496(a,1),193(a,1,1,2)),flip(a)]. given #2220 (H,wt=11): 2502 T(x,T(y,y / x)) = T(x,y). [para(2500(a,1),1950(a,1,2)),flip(a)]. given #2221 (H,wt=13): 2498 T(x,y) * (y \ x) = (y \ x) * x. [para(2496(a,1),113(a,1,2)),flip(a)]. given #2222 (H,wt=13): 2503 T(x,y \ x) = y * (x * (y \ 1)). [hyper(227,a,1278,a,b,2499,a)]. given #2223 (H,wt=14): 2501 (x * y) / x != z | T(y,x \ y) = z. [para(2497(a,1),297(a,1,1,2)),flip(b)]. given #2224 (H,wt=14): 2507 T(x,y \ x) != z | (y * x) / y = z. [para(2503(a,2),1287(a,1))]. given #2225 (H,wt=15): 2453 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(78,a,2447,a)]. given #2226 (H,wt=15): 2454 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(73,a,87,a(flip),b,2447,a)]. given #2227 (H,wt=15): 2455 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(73,a,69,a(flip),b,2447,a),flip(a)]. given #2228 (H,wt=15): 2456 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(72,a,87,a(flip),b,2447,a)]. given #2229 (H,wt=15): 2466 T(T(x,x * y),z) = T(T(x,z),y * x). [para(2461(a,1),38(a,1,1))]. given #2230 (H,wt=15): 2467 T(T(x,y * x),z) = T(T(x,z),x * y). [para(2461(a,2),38(a,1,1))]. given #2231 (H,wt=15): 2506 x * ((y * (x \ y)) / y) = T(y,x \ y). [para(1216(a,2),2503(a,2,2)),flip(a)]. given #2232 (H,wt=11): 2513 T(x,x / y) = T(x,y \ x). [hyper(2066,a,2506,a)]. given #2233 (H,wt=11): 2516 T(x,(y \ x) \ x) = T(x,y). [para(62(a,1),2513(a,1,2)),flip(a)]. given #2234 (H,wt=11): 2517 T(x,x / (x / y)) = T(x,y). [para(65(a,1),2513(a,2,2))]. given #2235 (H,wt=11): 2519 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),2516(a,1,2))]. given #2236 (H,wt=13): 2514 T(x,x / (1 / y)) = T(x,x * y). [hyper(227,a,1959,a(flip),b,2513,a)]. given #2237 (H,wt=13): 2515 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(227,a,1953,a(flip),b,2513,a(flip))]. given #2238 (H,wt=13): 2518 T(T(x,y \ x) / y,x) = x / y. [para(2513(a,1),2056(a,1,1,1))]. given #2239 (H,wt=13): 2520 (x / y) \ T(x,y) = (x * y) / x. [hyper(72,a,2517,a(flip),b,2064,a)]. given #2240 (H,wt=13): 2521 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),2519(a,1,2,2))]. given #2241 (H,wt=13): 2523 T(x,(1 / y) * x) = T(x,y \ x). [para(65(a,1),2515(a,1,2,1)),flip(a)]. given #2242 (H,wt=13): 2525 T(x,x * (1 / y)) = T(x,y \ x). [hyper(2462,a,2523,a)]. given #2243 (H,wt=15): 2511 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(439,a,2466,a),flip(a)]. given #2244 (H,wt=16): 2472 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(2469(a,1),177(a,1,2)),flip(a)]. given #2245 (H,wt=11): 2527 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,503,a,b,2472,a),flip(a)]. given #2246 (H,wt=12): 2528 x \ T(y * x,y) = R(y,x,y). [hyper(2071,a,2527,a)]. given #2247 (H,wt=12): 2530 x * R(y,x,y) = T(y * x,y). [para(2527(a,1),2070(a,1,2))]. given #2248 (H,wt=14): 2531 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),2528(a,1,2,1)),flip(a)]. given #2249 (H,wt=15): 2529 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(1938(a,1),2527(a,1,3))]. given #2250 (H,wt=11): 2534 R(x,T(y,x),x) = R(x,y,x). [hyper(227,a,2365,a(flip),b,2529,a(flip))]. given #2251 (H,wt=13): 2535 R(x,y / x,x) = R(x,x \ y,x). [para(115(a,1),2534(a,1,2)),flip(a)]. given #2252 (H,wt=14): 2536 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(227,a,2531,a(flip),b,2535,a)]. given #2253 (H,wt=15): 2533 x \ T(y * x,y) != z | R(y,x,y) = z. [para(2530(a,1),282(a,1,2)),flip(b)]. given #2254 (H,wt=16): 2508 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(2453(a,1),1851(a,1,1)),flip(a)]. given #2255 (H,wt=16): 2537 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(15(a,1),2536(a,1,2)),flip(a)]. given #2256 (H,wt=17): 2449 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(420,a,87,a(flip),b,2447,a)]. given #2257 (H,wt=17): 2484 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(842(a,1),2479(a,1,2))]. given #2258 (H,wt=13): 2539 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(227,a,2465,a(flip),b,2484,a)]. given #2259 (H,wt=16): 2540 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(2539(a,1),2508(a,1,1))]. given #2260 (H,wt=17): 2490 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(420,a,xx,b,2487,a),flip(a)]. given #2261 (H,wt=17): 2491 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(73,a,2487,a(flip),b,113,a)]. given #2262 (H,wt=17): 2522 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [hyper(227,a,2517,a,b,2514,a),flip(a)]. given #2263 (H,wt=17): 2524 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),2520(a,1,1)),flip(a)]. given #2264 (H,wt=16): 2542 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(2524(a,1),888(a,1,1))]. given #2265 (H,wt=17): 2541 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [para(14(a,1),2522(a,1,2,2,2)),flip(a)]. given #2266 (H,wt=17): 2544 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(227,a,2444,a(flip),b,2541,a(flip)),flip(a)]. given #2267 (H,wt=17): 2545 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [para(2544(a,1),16(a,1,1))]. given #2268 (H,wt=13): 2546 T(x,y) * (x \ y) = (x * y) / x. [para(2517(a,1),2545(a,1,1))]. given #2269 (H,wt=11): 2547 T(x / y,T(y,x)) = y \ x. [hyper(166,a,2487,a,b,2546,a)]. given #2270 (H,wt=13): 2548 T(x,y) \ ((x * y) / x) = x \ y. [hyper(78,a,2546,a)]. given #2271 (H,wt=13): 2551 T(x,y) * y = x * ((x * y) / x). [para(2546(a,1),1925(a,1,2)),flip(a)]. given #2272 (H,wt=13): 2552 T(x \ y,T(x,y)) = T(x \ y,x). [para(2547(a,1),178(a,1,1)),flip(a)]. given #2273 (H,wt=15): 2553 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),2551(a,2,2,1))]. given #2274 (H,wt=17): 2554 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(2552(a,1),113(a,1,2))]. given #2275 (H,wt=18): 2509 ((x / T(y,z)) / y) * T(y,z) != u | x / y = u. [para(2454(a,1),409(a,1))]. given #2276 (H,wt=18): 2512 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(2467(a,1),439(a,1))]. given #2277 (H,wt=18): 2526 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(2511(a,2),439(a,1))]. given #2278 (H,wt=18): 2557 (x / y) * T(y,z) != u | (x * T(y,z)) / y = u. [para(15(a,1),2509(a,1,1,1))]. given #2279 (H,wt=19): 2495 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(2487(a,1),2425(a,2,2))]. given #2280 (H,wt=19): 2532 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(2528(a,1),102(a,1,1)),flip(a)]. given #2281 (H,wt=19): 2538 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(838(a,1),2508(a,1,1,2))]. given #2282 (H,wt=16): 2558 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(2483(a,1),2538(a,1,1))]. given #2283 (H,wt=20): 2458 (x * y) * T(y,z) != y * u | T(x * T(y,z),y) = u. [para(2447(a,1),167(a,2)),flip(a)]. given #2284 (H,wt=20): 2473 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(2469(a,1),1955(a,1,2)),flip(a)]. given #2285 (H,wt=20): 2488 x * T(y,z) != y * u | T((x / y) * T(y,z),y) = u. [para(2451(a,1),167(a,2)),flip(a)]. given #2286 (H,wt=20): 2492 (x * y) / x != T(x,y) * z | T(y / x,T(x,y)) = z. [para(2487(a,1),167(a,2)),flip(a)]. given #2287 (H,wt=20): 2555 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(2552(a,1),210(a,1,2))]. given #2288 (H,wt=20): 2556 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(2552(a,2),858(a,1,2,2))]. given #2289 (H,wt=21): 2457 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),2447(a,1,1,2)),flip(a)]. given #2290 (H,wt=19): 2559 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),2457(a,1,2))]. given #2291 (H,wt=19): 2562 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(591,a,2559,a)]. given #2292 (H,wt=15): 2565 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(227,a,2311,a(flip),b,2562,a)]. given #2293 (H,wt=15): 2566 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(227,a,2020,a(flip),b,2565,a(flip)),flip(a)]. given #2294 (H,wt=15): 2567 ((x \ y) * x) * (y / x) = y * (x \ y). [para(2565(a,1),16(a,1,1))]. given #2295 (H,wt=19): 2563 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(73,a,87,a(flip),b,2559,a)]. given #2296 (H,wt=21): 2485 L(x,y,x) * y != z * u | z \ ((x * (y * x)) / x) = u. [para(2482(a,1),392(a,1,2))]. given #2297 (H,wt=21): 2504 (x * y) / ((x * y) * x) = T(y,x \ y) * ((x * y) \ 1). [para(2499(a,2),781(a,1,1)),flip(a)]. given #2298 (H,wt=21): 2568 (x * y) / ((x * y) * x) = T(y,x \ y) * (y \ (x \ 1)). [para(123(a,1),2504(a,2,2))]. given #2299 (H,wt=22): 2543 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(2542(a,1),94(a,1,1))]. given #2300 (H,wt=22): 2564 (x * (y / z)) * (z \ y) != u * (y / z) | x * (z \ y) = u. [para(2559(a,2),20(a,1))]. given #2301 (H,wt=23): 2347 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2274(a,2),2346(a,1,2,1))]. given #2302 (H,wt=23): 2373 R(T(x \ y,x * z),x,z) != u | T((x * z) \ (y * z),x) = u. [para(42(a,2),884(a,1))]. given #2303 (H,wt=23): 2385 ((x \ y) \ ((1 / y) * x)) * z = ((x \ y) \ 1) * ((x \ y) \ z). [para(313(a,1),2384(a,1,1,2))]. given #2304 (H,wt=23): 2387 (1 / x) \ (1 / (y * (z \ (u \ x)))) = (u * (z * x)) / (y * x). [para(756(a,1),1501(a,1,2))]. given #2305 (H,wt=19): 2571 (x * (y * z)) / (u * z) = z / (u * (y \ (x \ z))). [hyper(350,a,2387,a),flip(a)]. given #2306 (H,wt=22): 2572 (x * (y * z)) / (u * z) != w | z / (u * (y \ (x \ z))) = w. [para(2387(a,1),350(a,1))]. given #2307 (H,wt=23): 2388 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(227,a,429,a(flip),b,1642,a)]. given #2308 (H,wt=21): 2574 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [para(115(a,1),2388(a,1,1,1)),flip(a)]. given #2309 (H,wt=19): 2577 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(227,a,849,a(flip),b,2574,a(flip))]. given #2310 (H,wt=21): 2575 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(227,a,1637,a(flip),b,2574,a(flip)),flip(a)]. given #2311 (H,wt=21): 2576 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(227,a,1636,a(flip),b,2574,a(flip))]. given #2312 (H,wt=19): 2581 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(161(a,1),2576(a,1,1,1,2)),flip(a)]. given #2313 (H,wt=17): 2582 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(113(a,1),2581(a,1,2))]. given #2314 (H,wt=15): 2583 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(167,a,2582,a)]. given #2315 (H,wt=15): 2584 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(73,a,2583,a,b,xx)]. given #2316 (H,wt=15): 2586 x * (T((x \ y) * x,x) / x) = T(y,x). [para(2583(a,2),61(a,1,2,1))]. given #2317 (H,wt=15): 2587 T(x * y,y) / y = y \ T(y * x,y). [para(13(a,1),2584(a,1,1,1,1))]. given #2318 (H,wt=15): 2589 x \ T(x * (y / x),x) = T(y,x) / x. [para(66(a,1),2584(a,1,1,1)),flip(a)]. given #2319 (H,wt=15): 2592 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),2586(a,1,2,1,1,1))]. given #2320 (H,wt=15): 2593 T(x * (y / x),x) = x * (T(y,x) / x). [para(66(a,1),2586(a,1,2,1,1)),flip(a)]. given #2321 (H,wt=15): 2596 x * ((1 / x) * (y * x)) = T(x * y,x). [hyper(227,a,651,a(flip),b,2592,a(flip)),flip(a)]. given #2322 (H,wt=15): 2597 T(x * (y / x),x) = x * (y / T(x,y)). [para(1222(a,1),2593(a,2,2))]. given #2323 (H,wt=18): 2588 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(2584(a,1),207(a,1,1)),flip(b)]. given #2324 (H,wt=19): 2585 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(72,a,2583,a,b,236,a)]. given #2325 (H,wt=21): 2580 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(2233(a,2),2575(a,1,2)),flip(a)]. given #2326 (H,wt=19): 2599 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(59(a,1),2580(a,1,1,1,2)),flip(a)]. given #2327 (H,wt=19): 2601 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(182(a,2),2599(a,2,1))]. given #2328 (H,wt=21): 2598 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),2585(a,1,2,1,1))]. given #2329 (H,wt=22): 2590 (x \ T(y,x)) * x != z * u | z \ T((x \ y) * x,x) = u. [para(2584(a,1),278(a,1,1))]. given #2330 (H,wt=22): 2591 (x \ T(y,x)) * x != z * u | T((x \ y) * x,x) / u = z. [para(2584(a,1),393(a,1,1))]. given #2331 (H,wt=23): 2411 (1 / x) * ((y * (1 / x)) \ ((1 / z) \ 1)) = (y \ (z / x)) * x. [para(339(a,1),1800(a,2,1,2))]. given #2332 (H,wt=19): 2603 (1 / x) * ((y * (1 / x)) \ z) = (y \ (z / x)) * x. [para(65(a,1),2411(a,1,2,2))]. given #2333 (H,wt=23): 2413 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(78,a,1842,a)]. given #2334 (H,wt=23): 2420 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(227,a,1762,a(flip),b,2418,a(flip))]. given #2335 (H,wt=23): 2424 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(32(a,2),2419(a,1,1,2,2))]. given #2336 (H,wt=23): 2427 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(73,a,429,a(flip),b,1843,a)]. given #2337 (H,wt=23): 2442 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(1485,a,2307,a),flip(a)]. given #2338 (H,wt=23): 2446 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(429(a,1),2336(a,2,1))]. given #2339 (H,wt=21): 2610 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(166,a,2446,a(flip),b,1637,a(flip)),flip(a)]. given #2340 (H,wt=19): 2613 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),2610(a,1,2,1,2)),flip(a)]. given #2341 (H,wt=19): 2614 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(72,a,2613,a,b,xx)]. given #2342 (H,wt=19): 2615 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),2614(a,1,2,1,2,1))]. given #2343 (H,wt=19): 2617 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(2589(a,1),2615(a,2,1))]. given #2344 (H,wt=19): 2618 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(2617(a,1),14(a,1,2)),flip(a)]. given #2345 (H,wt=21): 2611 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),2446(a,1,2,1,2))]. given #2346 (H,wt=21): 2620 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(227,a,1637,a(flip),b,2611,a(flip)),flip(a)]. given #2347 (H,wt=19): 2622 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),2620(a,1,2)),flip(a)]. given #2348 (H,wt=19): 2623 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(85,a,2622,a)]. given #2349 (H,wt=21): 2621 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(2611(a,1),2424(a,2,2))]. given #2350 (H,wt=19): 2625 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(227,a,32,a,b,2621,a),flip(a)]. given #2351 (H,wt=17): 2626 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(271(a,1),2625(a,1,1)),flip(a)]. given #2352 (H,wt=20): 2627 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(2227(a,2),2625(a,1,1)),flip(a)]. given #2353 (H,wt=19): 2629 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(375(a,1),2627(a,1,1,2,2,1))]. given #2354 (H,wt=22): 2619 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(2618(a,2),282(a,1,2)),flip(b)]. given #2355 (H,wt=23): 2464 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(227,a,42,a,b,2461,a(flip)),flip(a)]. given #2356 (H,wt=23): 2494 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(1939(a,1),2487(a,1,1)),flip(a)]. given #2357 (H,wt=23): 2510 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1553(a,1),2455(a,1,1,1))]. given #2358 (H,wt=23): 2549 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(93(a,1),2546(a,1,2))]. given #2359 (H,wt=23): 2560 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(160(a,1),2457(a,1,2)),flip(a)]. given #2360 (H,wt=19): 2634 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),2560(a,1,1,2)),flip(a)]. given #2361 (H,wt=19): 2635 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(591,a,2634,a)]. given #2362 (H,wt=23): 2561 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(181(a,1),2457(a,1,2)),flip(a)]. given #2363 (H,wt=19): 2636 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(65(a,1),2561(a,1,1,2)),flip(a)]. given #2364 (H,wt=19): 2637 ((x / y) / (z / (z / y))) * y = x / (z / (z / y)). [hyper(589,a,2636,a),flip(a)]. given #2365 (H,wt=23): 2570 ((1 / x) * ((y / x) * y)) * z = ((y \ x) \ 1) * ((y \ x) \ z). [para(2159(a,1),2385(a,1,1))]. given #2366 (H,wt=23): 2573 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(227,a,1637,a(flip),b,2388,a)]. given #2367 (H,wt=23): 2594 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(430(a,1),2587(a,1,1,1)),flip(a)]. given #2368 (H,wt=19): 2639 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(2619,a,2594,a),flip(a)]. given #2369 (H,wt=23): 2604 (((x * y) \ x) \ (z / x)) * x = (1 / x) * ((y \ (1 / x)) \ z). [para(1003(a,1),2603(a,1,2,1)),flip(a)]. given #2370 (H,wt=21): 2640 (((x * y) \ x) \ (z / x)) * x = ((x / z) * (y \ 1)) \ x. [hyper(227,a,1525,a(flip),b,2604,a)]. given #2371 (H,wt=23): 2606 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),2413(a,1,2,2,1,2)),flip(a)]. given #2372 (H,wt=23): 2607 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(227,a,429,a(flip),b,2427,a)]. given #2373 (H,wt=21): 2642 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(11(a,1),2607(a,1,1,2,1,2)),flip(a)]. given #2374 (H,wt=19): 2645 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(2193,a,2642,a)]. given #2375 (H,wt=19): 2646 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(2645(a,2),16(a,1,1))]. given #2376 (H,wt=21): 2643 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(113(a,1),2607(a,1,1)),flip(a)]. given #2377 (H,wt=21): 2649 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(59(a,1),2646(a,1,1,1,2))]. given #2378 (H,wt=23): 2608 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(715(a,1),2442(a,1,1))]. given #2379 (H,wt=22): 2651 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1915(a,1),2608(a,1,1,2)),flip(a)]. given #2380 (H,wt=22): 2652 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(2255(a,2),2651(a,2,1))]. given #2381 (H,wt=23): 2609 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(227,a,1637,a(flip),b,2446,a(flip)),flip(a)]. given #2382 (H,wt=23): 2632 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(1747,a,2510,a)]. given #2383 (H,wt=21): 2655 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(664(a,1),2632(a,1,2,1))]. given #2384 (H,wt=23): 2638 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(429(a,1),2573(a,1,1))]. given #2385 (H,wt=23): 2658 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(2124(a,2),2638(a,1,1))]. given #2386 (H,wt=21): 2659 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),2658(a,2,2,2,1,2))]. given #2387 (H,wt=19): 2661 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),2659(a,2,2))]. given #2388 (H,wt=19): 2662 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(271(a,1),2659(a,2,2))]. given #2389 (H,wt=20): 2663 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,109,a(flip),b,2661,a)]. given #2390 (H,wt=22): 2664 x * K(y \ 1,y) != z * y | (x / y) * K(y \ 1,y) = z. [para(2662(a,1),20(a,1))]. given #2391 (H,wt=23): 2666 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(2663(a,1),20(a,1)),flip(a)]. given #2392 (H,wt=24): 322 ((x * (y / z)) * (z * (y \ 1))) / 1 = R(x,y / z,z * (y \ 1)). [para(261(a,1),30(a,2,2)),flip(a)]. given #2393 (H,wt=24): 467 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(100(a,1),30(a,2,1,1)),flip(a)]. given #2394 (H,wt=24): 478 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(449(a,1),100(a,1,1))]. given #2395 (H,wt=24): 528 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(236(a,1),142(a,1,2,1))]. given #2396 (H,wt=24): 816 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(732(a,1),92(a,1,1))]. given #2397 (H,wt=24): 859 (x \ 1) \ T(y,x \ 1) != z * u | z \ T(x * y,x \ 1) = u. [para(639(a,1),455(a,1,2))]. given #2398 (H,wt=24): 874 (((1 / x) * y) \ z) * (y \ x) != u | (y \ x) * (z * (y \ x)) = u. [para(313(a,1),674(a,1,1,1))]. given #2399 (H,wt=24): 932 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(380(a,2),209(a,1,2))]. given #2400 (H,wt=24): 1324 (x / y) \ (L(x,y,y) * ((1 / y) * z)) = L(z,1 / y,L(x,y,y)). [para(1318(a,1),28(a,2,1)),flip(a)]. given #2401 (H,wt=24): 1398 L(x,(1 / y) * z,(1 / y) * z) = ((1 / y) * z) * ((z \ y) * x). [para(250(a,1),1389(a,1,2,1)),flip(a)]. given #2402 (H,wt=24): 1483 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [hyper(420,a,725,a(flip),b,309,a(flip)),flip(a)]. given #2403 (H,wt=24): 1529 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1225(a,1),167(a,2)),flip(a)]. given #2404 (H,wt=24): 1534 x \ (y * (x \ 1)) != (x \ 1) * z | T((1 / x) * y,x \ 1) = z. [para(1337(a,1),167(a,2)),flip(a)]. given #2405 (H,wt=24): 1583 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(479(a,1),1477(a,2,1,2))]. given #2406 (H,wt=24): 1586 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(1482(a,2),393(a,1,1))]. given #2407 (H,wt=24): 1590 (x * (y / z)) * z != u * w | (z \ (((1 / z) \ x) * y)) / w = u. [para(1506(a,1),393(a,1,1))]. given #2408 (H,wt=24): 1612 ((1 / (x * y)) * x) * ((y * z) / (x * y)) = L(z,y,x) / (x * y). [para(28(a,2),1589(a,2,1))]. given #2409 (H,wt=20): 2669 L(x,y,z) / (z * y) = (1 / y) * ((y * x) / (z * y)). [para(335(a,1),1612(a,1,1)),flip(a)]. given #2410 (H,wt=24): 1638 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),471(a,1,2))]. given #2411 (H,wt=24): 1662 T(x \ y,x) \ ((1 / z) * u) != w | T(y \ x,x) / (u \ z) = w. [para(985(a,1),582(a,1,1))]. given #2412 (H,wt=24): 1744 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1743(a,1),895(a,1,1))]. given #2413 (H,wt=20): 2672 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(432(a,1),1744(a,1,2)),flip(a)]. given #2414 (H,wt=16): 2673 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(432(a,1),2672(a,1,2)),flip(a)]. given #2415 (H,wt=22): 2674 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(2673(a,1),46(a,1,1)),flip(a)]. given #2416 (H,wt=24): 1896 L(T(x,y / z),y,y) * (z / y) = (y * ((1 / x) * (y / z))) \ y. [para(1202(a,1),1891(a,1,1,2)),flip(a)]. given #2417 (H,wt=24): 1902 (x \ y) \ ((1 / y) * x) != z * ((1 / y) * x) | (1 / y) * x = z. [para(706(a,1),20(a,1))]. given #2418 (H,wt=24): 1942 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(1936(a,1),24(a,2,2,1)),flip(a)]. given #2419 (H,wt=24): 1971 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(1945(a,1),865(a,1,1))]. given #2420 (H,wt=24): 2000 ((x \ 1) * y) \ ((x \ (y / x)) * (x * z)) = L(z,x,x \ (y / x)). [para(1994(a,1),28(a,2,1)),flip(a)]. given #2421 (H,wt=24): 2128 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(219(a,1),1695(a,1,2)),flip(a)]. given #2422 (H,wt=24): 2136 R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. [para(1823(a,1),20(a,1))]. given #2423 (H,wt=24): 2157 x \ ((x * y) * z) != u * w | u \ ((y / x) * ((1 / x) \ z)) = w. [para(2154(a,1),457(a,1))]. given #2424 (H,wt=24): 2248 x * ((1 / x) * ((x * y) * z)) != u | (((x / z) / y) / x) \ x = u. [para(2247(a,1),694(a,1,2))]. given #2425 (H,wt=24): 2270 ((x * K(y,y \ 1)) * y) / T(y,y \ 1) = R(x,K(y,y \ 1),y). [para(2252(a,1),30(a,2,2)),flip(a)]. given #2426 (H,wt=24): 2271 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(2252(a,1),100(a,1,1))]. given #2427 (H,wt=24): 2280 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(2266(a,1),459(a,1,1))]. given #2428 (H,wt=24): 2291 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2224(a,1),19(a,1)),flip(a)]. given #2429 (H,wt=24): 2339 (L(x,y \ z,y) * z) \ (x * z) != u | a(y,y \ z,T(x,z)) = u. [para(2337(a,1),281(a,1,1)),flip(b)]. given #2430 (H,wt=24): 2367 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(2366(a,1),1944(a,1,1)),flip(a)]. given #2431 (H,wt=21): 2677 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(227,a,502,a(flip),b,2367,a)]. given #2432 (H,wt=18): 2678 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(2305(a,1),2677(a,1,1))]. given #2433 (H,wt=24): 2375 (x * y) * L(x * y,z,u) != w | x * (y * L(x * y,z,u)) = w. [para(956(a,1),931(a,1,2,1))]. given #2434 (H,wt=24): 2401 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(2395(a,1),2340(a,1,1,1)),flip(a)]. given #2435 (H,wt=20): 2679 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),2401(a,2,1))]. given #2436 (H,wt=20): 2680 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(2679(a,1),430(a,1,1)),flip(a)]. given #2437 (H,wt=18): 2681 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,176,a,b,2680,a),flip(a)]. given #2438 (H,wt=24): 2409 K(x,x \ 1) * L(x,y,z) != x * u | L(x,y,z) * (1 / x) = u. [para(2408(a,2),19(a,1))]. given #2439 (H,wt=24): 2605 a(x,1 / y,(x * (1 / y)) \ z) = (x * ((x \ (z / y)) * y)) \ z. [para(2603(a,1),91(a,1,1,2)),flip(a)]. given #2440 (H,wt=24): 2631 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(2494(a,2),1957(a,1))]. given #2441 (H,wt=24): 2675 L(T(x,y / z),y,y) * (z / y) != u | L((y / z) \ x,y,y) = u. [para(1896(a,2),1412(a,1))]. given #2442 (H,wt=24): 2676 ((x * K(y,y \ 1)) / T(y,y \ 1)) * y = R(x,K(y,y \ 1),y). [hyper(227,a,2448,a(flip),b,2270,a(flip)),flip(a)]. given #2443 (H,wt=25): 883 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(739(a,1),309(a,1,1)),flip(a)]. given #2444 (H,wt=21): 2682 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(14(a,1),883(a,2,1,1,2))]. given #2445 (H,wt=21): 2683 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(227,a,429,a(flip),b,2682,a)]. given #2446 (H,wt=21): 2684 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(15(a,1),2683(a,1,1,1,2))]. given #2447 (H,wt=20): 2685 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(1678,a,2684,a)]. given #2448 (H,wt=24): 2686 T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). [para(2258(a,1),2685(a,1,1,1)),flip(a)]. given #2449 (H,wt=19): 2687 T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). [hyper(227,a,1665,a(flip),b,2686,a)]. given #2450 (H,wt=25): 943 (x * y) * ((x \ 1) * T(y,x \ 1)) = T(y,x \ 1) * T(y,x \ 1). [para(650(a,1),936(a,1,1))]. given #2451 (H,wt=21): 2689 T(x,y \ 1) * T(x,y \ 1) = (y * x) * (x * (y \ 1)). [para(113(a,1),943(a,1,2)),flip(a)]. given #2452 (H,wt=25): 1155 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(92(a,1),464(a,1,1)),flip(a)]. given #2453 (H,wt=25): 1165 ((x * (1 / y)) * (y / z)) / (1 / z) != u | R(x,1 / y,y / z) = u. [para(337(a,1),506(a,1,2))]. given #2454 (H,wt=25): 1340 (x \ (y \ 1)) * (z * (x \ (y \ 1))) = ((y * x) \ z) * (x \ (y \ 1)). [para(1217(a,1),1236(a,1,1)),flip(a)]. given #2455 (H,wt=23): 2690 (x \ (y \ 1)) * (z * (x \ (y \ 1))) = (y * x) \ (z / (y * x)). [hyper(227,a,1281,a(flip),b,1340,a)]. given #2456 (H,wt=25): 1497 ((1 / x) * y) * (1 / ((y \ x) / z)) = 1 / ((y \ x) / ((y \ x) \ z)). [para(313(a,1),804(a,1,1))]. given #2457 (H,wt=25): 1507 x / (y \ (((1 / (1 / x)) \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). [hyper(227,a,340,a,b,918,a(flip)),flip(a)]. given #2458 (H,wt=25): 1557 T(x \ (1 / T(y,y \ 1)),T(y,y \ 1)) = T(x \ 1,y) * (1 / y). [hyper(407,a,1555,a)]. given #2459 (H,wt=23): 2693 T(x \ (1 / T(y,y \ 1)),T(y,y \ 1)) = T(x,y) \ (1 / y). [hyper(227,a,1512,a(flip),b,1557,a)]. given #2460 (H,wt=19): 2694 T(x \ (y \ 1),T(y,y \ 1)) = T(x,y) \ (1 / y). [para(190(a,1),2693(a,1,1,2))]. given #2461 (H,wt=25): 1564 T((1 / 1) \ (x * y),(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). [para(340(a,1),1561(a,1,1))]. given #2462 (H,wt=23): 2695 T(1 \ (x * y),(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). [para(59(a,1),1564(a,1,1,1))]. given #2463 (H,wt=21): 2696 T(x * y,(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). [para(50(a,1),2695(a,1,1))]. given #2464 (H,wt=25): 1571 ((1 / x) * (1 / x)) \ (T(y,x) \ 1) = (1 / (1 / x)) * ((y \ 1) * x). [para(1568(a,1),1007(a,1,2)),flip(a)]. given #2465 (H,wt=25): 1588 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(1482(a,1),215(a,1,1))]. given #2466 (H,wt=25): 1704 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1703(a,1),176(a,1,2,1)),flip(a)]. given #2467 (H,wt=25): 1715 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(420,a,1712,a(flip),b,640,a(flip))]. given #2468 (H,wt=25): 1727 x * ((1 / y) * T(x * (1 / y),y)) = (x * (1 / y)) * ((y \ 1) * x). [para(1395(a,1),1083(a,1,2)),flip(a)]. given #2469 (H,wt=23): 2699 (x * (1 / y)) * ((y \ 1) * x) = x * ((1 / y) * ((y \ 1) * x)). [para(1395(a,1),1727(a,1,2,2)),flip(a)]. given #2470 (H,wt=19): 2700 (x * (1 / y)) * ((y \ 1) * x) = x * (y \ (y \ x)). [para(2164(a,1),2699(a,2,2))]. given #2471 (H,wt=25): 1774 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1773(a,1),840(a,1,1,2))]. given #2472 (H,wt=25): 1804 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(62(a,1),1802(a,1,1,2)),flip(a)]. given #2473 (H,wt=25): 1808 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(219(a,1),469(a,1,2,1))]. given #2474 (H,wt=25): 1809 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(102(a,1),470(a,1,2,1))]. given #2475 (H,wt=25): 1810 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(219(a,1),470(a,1,2,1))]. given #2476 (H,wt=25): 1816 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(110(a,1),501(a,1,1,1))]. given #2477 (H,wt=21): 2701 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(1579,a,1816,a),flip(a)]. given #2478 (H,wt=17): 2703 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(717(a,1),2701(a,1,1))]. given #2479 (H,wt=16): 2708 ((x \ 1) * y) * L(y,x,x) = (x \ y) * y. [para(1349(a,1),2703(a,1,1)),flip(a)]. given #2480 (H,wt=17): 2704 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(548,a,2703,a)]. given #2481 (H,wt=17): 2705 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(78,a,2703,a)]. given #2482 (H,wt=17): 2706 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(73,a,87,a(flip),b,2703,a)]. given #2483 (H,wt=17): 2707 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(72,a,87,a(flip),b,2703,a)]. given #2484 (H,wt=18): 2710 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(2705(a,1),1851(a,1,1)),flip(a)]. given #2485 (H,wt=18): 2711 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(100(a,1),2706(a,1,1)),flip(a)]. given #2486 (H,wt=12): 2713 T((x * y) / x,L(x,y,x)) = y. [hyper(166,a,2711,a,b,2478,a(flip))]. given #2487 (H,wt=10): 2716 T(x,L(y,x,y)) = T(x,y). [para(2713(a,1),191(a,1,1)),flip(a)]. given #2488 (H,wt=11): 2717 T(x,T(y,y * x)) = T(x,y). [hyper(227,a,1956,a,b,2716,a(flip)),flip(a)]. given #2489 (H,wt=15): 2718 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(2716(a,1),113(a,1,2))]. given #2490 (H,wt=16): 2723 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(227,a,2083,a,b,2718,a(flip)),flip(a)]. given #2491 (H,wt=16): 2725 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(2461(a,2),2723(a,1,2))]. given #2492 (H,wt=18): 2714 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(78,a,2711,a),flip(a)]. given #2493 (H,wt=19): 2712 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(2710(a,1),719(a,1,2))]. given #2494 (H,wt=19): 2724 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(2723(a,2),19(a,1))]. given #2495 (H,wt=19): 2726 T(x,y) * T(y,x * y) != x * z | L(y,x,y) = z. [para(2725(a,2),19(a,1))]. given #2496 (H,wt=20): 2709 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(2704(a,1),292(a,1,2)),flip(b)]. given #2497 (H,wt=23): 2719 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(2717(a,1),176(a,1,2,1))]. given #2498 (H,wt=23): 2720 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(2717(a,1),177(a,1,2,1))]. given #2499 (H,wt=25): 1817 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(110(a,1),502(a,1,1,1))]. given #2500 (H,wt=25): 1820 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(534(a,1),532(a,1,2,1))]. given #2501 (H,wt=21): 2728 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(227,a,177,a(flip),b,1820,a)]. given #2502 (H,wt=25): 1850 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(1584(a,1),109(a,1,1))]. given #2503 (H,wt=25): 1919 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1917(a,1),473(a,1,2))]. given #2504 (H,wt=25): 1961 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(1938(a,1),1265(a,1,2,1))]. given #2505 (H,wt=21): 2733 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(2040(a,1),1961(a,1,1))]. given #2506 (H,wt=11): 2734 T(x,T(y,T(x,z))) = T(x,y). [hyper(227,a,1265,a(flip),b,2733,a(flip))]. given #2507 (H,wt=17): 2736 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(181(a,1),2734(a,1,2,2))]. given #2508 (H,wt=24): 2739 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(2736(a,1),2032(a,1,1))]. given #2509 (H,wt=25): 1985 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(40(a,2),1983(a,1,1))]. given #2510 (H,wt=25): 2007 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (1 / x) * (y * ((x \ 1) \ 1)). [para(1057(a,1),1999(a,1,1)),flip(a)]. given #2511 (H,wt=25): 2052 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(414(a,1),2046(a,2,2)),flip(a)]. given #2512 (H,wt=20): 2742 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(1588,a,2052,a)]. given #2513 (H,wt=18): 2743 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(671(a,1),2742(a,1,1))]. given #2514 (H,wt=20): 2744 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(161(a,1),2743(a,1,1,2)),flip(a)]. given #2515 (H,wt=21): 2745 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(2743(a,1),293(a,1,1)),flip(b)]. given #2516 (H,wt=25): 2114 x \ (((1 / x) \ (y * x)) * (1 / (y * x))) = (((y * x) \ 1) * y) * x. [hyper(72,a,2112,a(flip),b,47,a(flip))]. given #2517 (H,wt=25): 2149 x / (y \ (z \ x)) != u * w | u \ (x * ((x \ z) * L(y,x,x))) = w. [para(2145(a,1),457(a,1))]. given #2518 (H,wt=25): 2232 (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1528(a,1),2125(a,1,1,1))]. given #2519 (H,wt=25): 2234 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(65(a,1),2135(a,1,1,1,2))]. given #2520 (H,wt=21): 2749 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(65(a,1),2234(a,1,2)),flip(a)]. given #2521 (H,wt=19): 2750 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),2749(a,2,1,1))]. given #2522 (H,wt=14): 2751 T(1 / x,L(x,y,z) / x) = 1 / x. [para(2750(a,1),1768(a,1,2))]. given #2523 (H,wt=21): 2752 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(2750(a,1),1830(a,1,1)),flip(a)]. given #2524 (H,wt=22): 2753 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(2751(a,1),433(a,1,1,2)),flip(a)]. given #2525 (H,wt=25): 2246 x / ((y \ ((z / u) * ((1 / u) \ w))) \ x) = y \ (u \ ((u * z) * w)). [hyper(227,a,62,a,b,2156,a(flip)),flip(a)]. given #2526 (H,wt=25): 2321 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(479(a,1),862(a,1,2,1)),flip(a)]. given #2527 (H,wt=25): 2322 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(482(a,1),864(a,1,2,1)),flip(a)]. given #2528 (H,wt=25): 2323 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(866(a,1),461(a,1,2)),flip(a)]. given #2529 (H,wt=25): 2324 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(869(a,1),494(a,1,1)),flip(a)]. given #2530 (H,wt=23): 2758 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),2324(a,2,1,1,1))]. given #2531 (H,wt=23): 2759 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(227,a,723,a(flip),b,2758,a)]. given #2532 (H,wt=23): 2760 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(723(a,1),2759(a,1,1))]. given #2533 (H,wt=23): 2761 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(85,a,2760,a),flip(a)]. given #2534 (H,wt=25): 2328 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(100(a,1),1481(a,1,1,1,1))]. given #2535 (H,wt=22): 2763 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(227,a,469,a(flip),b,2328,a)]. given #2536 (H,wt=24): 2764 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(113(a,1),2763(a,1,1,1,1,2))]. given #2537 (H,wt=22): 2765 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(177(a,1),2764(a,2,2))]. given #2538 (H,wt=25): 2333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(1582(a,1),462(a,1,2)),flip(a)]. given #2539 (H,wt=25): 2357 (((x \ 1) \ y) * (x \ (1 / x))) * x = y * K((x \ 1) \ y,x \ 1). [hyper(227,a,236,a,b,2356,a)]. given #2540 (H,wt=25): 2358 (((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x))) * x = ((x \ 1) \ 1) * y. [hyper(227,a,1994,a(flip),b,2356,a)]. given #2541 (H,wt=25): 2359 ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = (((x \ 1) \ 1) * y) / x. [hyper(73,a,1994,a(flip),b,2356,a),flip(a)]. given #2542 (H,wt=25): 2372 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),497(a,1,1,1))]. given #2543 (H,wt=25): 2377 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(62(a,1),2376(a,1,2,1,1)),flip(a)]. given #2544 (H,wt=21): 2768 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(62(a,1),2377(a,1,1,1)),flip(a)]. given #2545 (H,wt=25): 2410 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(161(a,1),1749(a,1,2,2))]. given #2546 (H,wt=23): 2769 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(634(a,1),2410(a,1,2))]. given #2547 (H,wt=23): 2770 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1609(a,1),2769(a,1,1,1,2))]. given #2548 (H,wt=17): 2771 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(161(a,1),2770(a,1,1))]. given #2549 (H,wt=25): 2578 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(1647(a,1),2575(a,1,2)),flip(a)]. given #2550 (H,wt=25): 2579 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1764(a,1),2575(a,1,2)),flip(a)]. given #2551 (H,wt=25): 2595 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(717(a,1),2587(a,1,1,1)),flip(a)]. given #2552 (H,wt=25): 2630 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(114(a,1),2629(a,1,1,2,2)),flip(a)]. given #2553 (H,wt=25): 2667 R(x,y / z,z * (y \ 1)) != u | (x * (y / z)) * (z * (y \ 1)) = u. [para(322(a,1),214(a,1)),flip(b)]. given #2554 (H,wt=25): 2688 T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). [para(2259(a,1),2687(a,1,1,2,1))]. given #2555 (H,wt=25): 2691 ((1 / x) * y) * (1 / ((y \ x) / z)) = (z \ (y \ x)) \ (1 / (y \ x)). [hyper(227,a,1466,a(flip),b,1497,a)]. given #2556 (H,wt=25): 2692 x / (y \ ((((x \ 1) \ 1) \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). [para(1058(a,1),1507(a,1,2,2,1,1))]. given #2557 (H,wt=25): 2698 ((1 / x) * (1 / x)) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). [para(1058(a,1),1571(a,2,1))]. given #2558 (H,wt=25): 2702 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(1485,a,1816,a)]. given #2559 (H,wt=25): 2727 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(1489,a,1817,a)]. given #2560 (H,wt=25): 2730 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(1747,a,1850,a)]. given #2561 (H,wt=25): 2732 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(227,a,1704,a,b,1919,a(flip)),flip(a)]. given #2562 (H,wt=25): 2748 K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(2255(a,2),2232(a,1,1))]. given #2563 (H,wt=25): 2755 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(78,a,2321,a)]. given #2564 (H,wt=23): 2779 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),2755(a,1,2,2,1,2)),flip(a)]. given #2565 (H,wt=25): 2756 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(14(a,1),2322(a,2,2,1,2))]. given #2566 (H,wt=25): 2757 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(78,a,2323,a)]. given #2567 (H,wt=23): 2781 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),2757(a,1,2,2,1,2)),flip(a)]. given #2568 (H,wt=25): 2766 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(78,a,2333,a)]. given #2569 (H,wt=21): 2782 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),2766(a,1,2,2,1))]. given #2570 (H,wt=17): 2783 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(445,a,2782,a)]. given #2571 (H,wt=17): 2785 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(227,a,2386,a(flip),b,2783,a)]. given #2572 (H,wt=19): 2786 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(62(a,1),2783(a,1,2,1)),flip(a)]. given #2573 (H,wt=20): 2784 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(2782(a,1),445(a,1))]. given #2574 (H,wt=24): 2787 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(811(a,1),2783(a,1,2)),flip(a)]. given #2575 (H,wt=24): 2788 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1342(a,1),2783(a,1,2)),flip(a)]. given #2576 (H,wt=22): 2789 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(732(a,1),2788(a,1,2,1))]. given #2577 (H,wt=25): 2767 ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = 1 / (x * (y \ (1 / x))). [hyper(227,a,1072,a(flip),b,2359,a)]. given #2578 (H,wt=25): 2773 ((1 / x) * y) * (1 / ((y \ x) / z)) = (z \ (y \ x)) \ ((1 / x) * y). [para(313(a,1),2691(a,2,2))]. given #2579 (H,wt=25): 2774 x / (y \ ((z \ 1) * (1 / (x \ 1)))) = (z * (y / (1 / x))) * (1 / x). [para(1070(a,1),2692(a,1,2,2))]. given #2580 (H,wt=21): 2792 (x * (y / (1 / z))) * (1 / z) = z / (y \ ((x \ 1) * z)). [para(62(a,1),2774(a,1,2,2,2)),flip(a)]. given #2581 (H,wt=25): 2775 (1 * (x \ (1 / x))) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). [para(926(a,1),2698(a,1,1))]. given #2582 (H,wt=23): 2793 (x \ (1 / x)) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). [para(11(a,1),2775(a,1,1))]. given #2583 (H,wt=23): 2794 ((x \ 1) \ 1) * ((y \ 1) * x) = x * ((x \ 1) \ (T(y,x) \ 1)). [hyper(227,a,1511,a(flip),b,2793,a(flip))]. given #2584 (H,wt=19): 2795 ((x \ 1) \ 1) * ((y \ 1) * x) = x * ((x \ y) \ 1). [para(1259(a,1),2794(a,2,2))]. given #2585 (H,wt=17): 2796 ((x \ 1) \ 1) * ((y \ 1) * x) = (y / x) \ x. [hyper(227,a,663,a(flip),b,2795,a)]. given #2586 (H,wt=17): 2797 (x \ 1) \ (y \ ((x \ 1) \ 1)) = (y / x) \ x. [hyper(227,a,2178,a,b,2796,a(flip)),flip(a)]. given #2587 (H,wt=25): 2776 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(715(a,1),2702(a,2,1))]. given #2588 (H,wt=23): 2800 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(166,a,2776,a(flip),b,1810,a(flip)),flip(a)]. given #2589 (H,wt=21): 2803 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),2800(a,1,2,1,2)),flip(a)]. given #2590 (H,wt=21): 2804 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(72,a,2803,a,b,xx)]. given #2591 (H,wt=21): 2805 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),2804(a,1,2,1,2,1)),flip(a)]. given #2592 (H,wt=21): 2807 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(2589(a,1),2805(a,1,1)),flip(a)]. given #2593 (H,wt=21): 2808 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(227,a,2595,a(flip),b,2807,a(flip))]. given #2594 (H,wt=23): 2801 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),2776(a,1,2,1,2))]. given #2595 (H,wt=22): 2810 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(166,a,2801,a(flip),b,471,a(flip))]. given #2596 (H,wt=23): 2809 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(227,a,1810,a(flip),b,2801,a(flip)),flip(a)]. given #2597 (H,wt=22): 2813 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1915(a,1),2809(a,2,1,2))]. given #2598 (H,wt=19): 2814 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(2652(a,1),2813(a,1,2))]. given #2599 (H,wt=19): 2816 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(2255(a,2),2814(a,2,1))]. given #2600 (H,wt=19): 2818 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),2816(a,1,2,2)),flip(a)]. given #2601 (H,wt=20): 2815 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,100,a(flip),b,2814,a)]. given #2602 (H,wt=21): 2817 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(17,a,2408,a(flip),b,2816,a)]. given #2603 (H,wt=21): 2819 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),2816(a,1,2,2))]. given #2604 (H,wt=23): 2812 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(73,a,2756,a(flip),b,2809,a(flip)),flip(a)]. given #2605 (H,wt=23): 2822 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(2815(a,1),19(a,1)),flip(a)]. given #2606 (H,wt=24): 2821 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(227,a,2271,a,b,2818,a(flip)),flip(a)]. given #2607 (H,wt=17): 2824 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(17,a,478,a,b,2821,a),flip(a)]. given #2608 (H,wt=25): 2777 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(723(a,1),2727(a,2,1))]. given #2609 (H,wt=21): 2831 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),2777(a,1,2,1)),flip(a)]. given #2610 (H,wt=17): 2835 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),2831(a,1,1,2,1))]. given #2611 (H,wt=17): 2836 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(548,a,2835,a)]. given #2612 (H,wt=17): 2837 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(78,a,2835,a)]. given #2613 (H,wt=18): 2839 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(2837(a,1),1851(a,1,1)),flip(a)]. given #2614 (H,wt=19): 2841 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(2839(a,1),719(a,1,2))]. given #2615 (H,wt=18): 2843 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(2530(a,1),2841(a,1,1))]. given #2616 (H,wt=17): 2845 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(227,a,2678,a(flip),b,2843,a(flip)),flip(a)]. given #2617 (H,wt=19): 2844 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(227,a,2473,a,b,2843,a(flip)),flip(a)]. given #2618 (H,wt=20): 2838 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(2836(a,1),292(a,1,2)),flip(b)]. given #2619 (H,wt=20): 2846 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(2845(a,1),282(a,1,2))]. given #2620 (H,wt=23): 2828 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(166,a,2777,a(flip),b,1808,a(flip)),flip(a)]. given #2621 (H,wt=21): 2848 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),2828(a,1,2,1,2)),flip(a)]. given #2622 (H,wt=21): 2849 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(73,a,2848,a,b,723,a)]. given #2623 (H,wt=21): 2850 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(72,a,2848,a,b,xx)]. given #2624 (H,wt=21): 2851 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),2849(a,1,1,1,2,1)),flip(a)]. given #2625 (H,wt=23): 2830 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),2777(a,1,2,1,2))]. given #2626 (H,wt=23): 2854 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(227,a,1808,a(flip),b,2830,a(flip)),flip(a)]. given #2627 (H,wt=25): 2778 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(1491(a,1),2730(a,2,1))]. given #2628 (H,wt=25): 2798 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(227,a,1810,a(flip),b,2776,a(flip)),flip(a)]. given #2629 (H,wt=25): 2825 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(2254(a,1),2824(a,1,2)),flip(a)]. given #2630 (H,wt=25): 2826 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(227,a,1808,a(flip),b,2777,a(flip)),flip(a)]. given #2631 (H,wt=25): 2840 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(2839(a,1),177(a,1,2)),flip(a)]. given #2632 (H,wt=25): 2856 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(14(a,1),2778(a,1,2,1)),flip(a)]. given #2633 (H,wt=26): 465 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(100(a,1),28(a,2,1)),flip(a)]. given #2634 (H,wt=26): 489 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(100(a,1),102(a,2,1))]. given #2635 (H,wt=19): 2858 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(227,a,24,a,b,489,a),flip(a)]. given #2636 (H,wt=26): 499 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(109(a,1),30(a,2,2)),flip(a)]. given #2637 (H,wt=26): 510 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(109(a,1),109(a,1,2))]. given #2638 (H,wt=26): 521 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(109(a,1),110(a,2,2))]. given #2639 (H,wt=26): 677 ((x * y) * z) * ((x * (y * z)) \ 1) = T(a(x,y,z),(x * (y * z)) \ 1). [para(24(a,2),626(a,1,1)),flip(a)]. given #2640 (H,wt=26): 742 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(244(a,2),28(a,2,1)),flip(a)]. given #2641 (H,wt=26): 743 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(244(a,2),284(a,1,1))]. given #2642 (H,wt=26): 1104 ((x * (y * z)) \ (x * y)) * (1 / (x * y)) = L(z,y,x) \ (1 / (x * y)). [para(100(a,1),1003(a,1,1,1))]. given #2643 (H,wt=26): 1158 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(100(a,1),474(a,1,2,2))]. given #2644 (H,wt=26): 1446 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1442(a,1),100(a,1,1))]. given #2645 (H,wt=23): 2861 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1853,a,1446,a(flip))]. given #2646 (H,wt=26): 1447 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1442(a,1),102(a,2,1))]. given #2647 (H,wt=26): 1448 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1442(a,1),109(a,1,2))]. given #2648 (H,wt=26): 1509 (1 / x) \ ((L(1 * x,x,x) \ y) * z) = (y * (z / (1 / x))) * (1 / x). [para(1314(a,2),918(a,1,2,1,1))]. given #2649 (H,wt=24): 2862 (1 / x) \ ((L(x,x,x) \ y) * z) = (y * (z / (1 / x))) * (1 / x). [para(11(a,1),1509(a,1,2,1,1,1))]. given #2650 (H,wt=26): 1618 L(((x \ 1) \ (((x \ 1) / y) * z)) \ 1,x,x) = x * ((z / (x \ 1)) \ y). [para(1592(a,2),1387(a,1,1))]. given #2651 (H,wt=26): 1626 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(1240(a,1),90(a,1,1,2,1))]. given #2652 (H,wt=26): 1634 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(382(a,1),209(a,1,2))]. given #2653 (H,wt=26): 1641 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(485(a,2),209(a,1,2))]. given #2654 (H,wt=26): 1646 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(113(a,1),526(a,1,2))]. given #2655 (H,wt=26): 1649 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(538(a,1),209(a,1,2))]. given #2656 (H,wt=26): 1654 (1 / (x * y)) * ((z \ 1) \ 1) != u | (z \ ((y \ (x \ 1)) \ 1)) \ 1 = u. [para(1062(a,1),568(a,1,1))]. given #2657 (H,wt=26): 1792 (x \ 1) * T((x \ 1) \ y,z) != u * w | (x \ T(x * y,z)) / w = u. [para(1761(a,1),276(a,1,2))]. given #2658 (H,wt=26): 2168 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(2167(a,1),28(a,2,1)),flip(a)]. given #2659 (H,wt=26): 2169 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(2167(a,1),100(a,1,1))]. given #2660 (H,wt=26): 2391 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(1668,a,2390,a),flip(a)]. given #2661 (H,wt=26): 2437 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(664(a,1),2436(a,1,1,2,1))]. given #2662 (H,wt=25): 2865 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(516(a,1),2437(a,2,2))]. given #2663 (H,wt=23): 2866 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),2865(a,2,2,1))]. given #2664 (H,wt=21): 2867 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2655(a,1),2866(a,1,1))]. given #2665 (H,wt=17): 2868 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(207,a,2867,a)]. given #2666 (H,wt=20): 2869 T(x,x / (x * T(x,y))) != z | T(x,T(x,y) \ 1) = z. [para(2867(a,1),207(a,1)),flip(b)]. given #2667 (H,wt=26): 2616 x * T(x \ T(y,x),z) != u * w | u \ T(x * T(x \ y,z),x) = w. [para(2614(a,1),392(a,1,2))]. given #2668 (H,wt=26): 2624 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(731(a,1),2623(a,1,1,2,1))]. given #2669 (H,wt=25): 2871 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(183(a,1),2624(a,1,1))]. given #2670 (H,wt=24): 2872 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1516(a,1),2871(a,1,1))]. given #2671 (H,wt=26): 2633 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(2549(a,1),20(a,1))]. given #2672 (H,wt=26): 2715 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(2711(a,1),167(a,2)),flip(a)]. given #2673 (H,wt=26): 2721 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(2717(a,1),395(a,1,2,1))]. given #2674 (H,wt=26): 2722 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(2717(a,1),396(a,1,2,1))]. given #2675 (H,wt=26): 2746 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(2744(a,1),661(a,1,2,1)),flip(a)]. given #2676 (H,wt=21): 2873 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(2744(a,1),2746(a,1,1)),flip(a)]. given #2677 (H,wt=26): 2754 1 / L(((x / y) * ((1 / y) \ z)) \ u,u,u) = u \ (y \ ((y * x) * z)). [para(1034(a,2),2246(a,1,2))]. given #2678 (H,wt=26): 2847 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(2844(a,1),2532(a,1,2))]. given #2679 (H,wt=12): 2875 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(2846,a,2847,a)]. given #2680 (H,wt=26): 2859 ((x * y) * z) * ((x * (y * z)) \ 1) = T(a(x,y,z),(y * z) \ (x \ 1)). [para(123(a,1),677(a,2,2))]. given #2681 (H,wt=26): 2863 L(((x \ 1) \ ((x \ (1 / y)) * z)) \ 1,x,x) = x * ((z / (x \ 1)) \ y). [para(318(a,1),1618(a,1,1,1,2,1))]. given #2682 (H,wt=26): 2864 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(227,a,2163,a(flip),b,2168,a(flip)),flip(a)]. given #2683 (H,wt=26): 2876 ((x * y) * z) * ((y * z) \ (x \ 1)) = T(a(x,y,z),(y * z) \ (x \ 1)). [para(123(a,1),2859(a,1,2))]. given #2684 (H,wt=27): 484 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),102(a,1,1)),flip(a)]. given #2685 (H,wt=27): 812 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(635(a,1),102(a,2,1))]. given #2686 (H,wt=27): 1156 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(449(a,1),464(a,1,1))]. given #2687 (H,wt=27): 1266 (1 / ((x / y) \ y)) \ ((y \ x) \ 1) = (y / ((x / y) \ y)) \ ((x / y) \ y). [para(660(a,1),1199(a,1,2))]. given #2688 (H,wt=27): 1344 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1228(a,1),102(a,2,1))]. given #2689 (H,wt=27): 1455 ((x * y) \ ((x * y) * x)) * (1 / (x * y)) = 1 / ((x * y) * (y \ (y / x))). [para(1000(a,1),1432(a,1,2,2)),flip(a)]. given #2690 (H,wt=19): 2878 1 / ((x * y) * (y \ (y / x))) = x * (1 / (x * y)). [para(13(a,1),1455(a,1,1)),flip(a)]. given #2691 (H,wt=27): 1496 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(732(a,1),777(a,2,1))]. given #2692 (H,wt=25): 2879 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1774(a,1),1496(a,1,1))]. given #2693 (H,wt=23): 2880 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(1486,a,2879,a)]. given #2694 (H,wt=27): 1505 (x \ 1) \ (((1 / (x \ 1)) \ y) * z) = x \ ((x * (y * (z / (x \ 1)))) / x). [hyper(227,a,1258,a,b,918,a)]. given #2695 (H,wt=23): 2881 x \ ((x * (y * (z / (x \ 1)))) / x) = (x \ 1) \ ((x \ y) * z). [para(62(a,1),1505(a,1,2,1,1)),flip(a)]. given #2696 (H,wt=23): 2882 x \ ((x * (y * ((1 / z) \ x))) / x) = (x \ 1) \ ((x \ y) * z). [para(317(a,1),2881(a,1,2,1,2,2))]. given #2697 (H,wt=21): 2883 (x * ((1 / y) \ z)) * (z \ 1) = (z \ 1) \ ((z \ x) * y). [hyper(1295,a,2882,a)]. given #2698 (H,wt=27): 1799 (x \ ((1 / (y \ (x \ 1))) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ (y \ 1)). [hyper(227,a,753,a,b,1771,a(flip)),flip(a)]. given #2699 (H,wt=27): 1838 R(L(x,y,y),1 / y,(1 / y) \ (z \ 1)) = ((z * (1 / y)) / (x / y)) \ z. [para(1318(a,1),1837(a,1,1,2)),flip(a)]. given #2700 (H,wt=27): 1906 ((x \ 1) \ y) * L(1 / T(x,y),z,u) = L(x \ 1,z,u) * ((x \ 1) \ y). [para(1782(a,1),718(a,1,2,1))]. given #2701 (H,wt=27): 2029 T(x / ((y / z) * (y / z)),y / z) = T(x * (z * (y \ 1)),x) / (y / z). [para(1218(a,2),2025(a,2,1))]. given #2702 (H,wt=27): 2093 ((1 / (x * y)) * z) \ (y \ (x \ 1)) = (x * y) * ((1 / (x * y)) * (z \ 1)). [para(123(a,1),2092(a,1,2))]. given #2703 (H,wt=27): 2200 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(2047(a,1),2192(a,1,2,1,2))]. given #2704 (H,wt=25): 2886 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(2490(a,1),2200(a,1,2,1))]. given #2705 (H,wt=25): 2887 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2886(a,1),14(a,1,2))]. given #2706 (H,wt=23): 2888 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(227,a,2416,a(flip),b,2887,a(flip))]. given #2707 (H,wt=19): 2889 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(2547(a,1),2888(a,1,1)),flip(a)]. given #2708 (H,wt=13): 2890 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(2556,a,2889,a),flip(a)]. given #2709 (H,wt=15): 2891 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(227,a,767,a(flip),b,2890,a(flip))]. given #2710 (H,wt=11): 2892 K(x,T(y,y * x)) = K(x,y). [hyper(227,a,767,a(flip),b,2891,a(flip))]. given #2711 (H,wt=11): 2894 K(x,T(y,x * y)) = K(x,y). [para(2461(a,2),2892(a,1,2))]. given #2712 (H,wt=13): 2895 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),2894(a,1,2,2))]. given #2713 (H,wt=15): 2893 K(x \ (x * y),z) = K(y,T(z,z * y)). [hyper(227,a,767,a,b,2892,a),flip(a)]. given #2714 (H,wt=27): 2205 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1169(a,1),2196(a,1,1,1))]. given #2715 (H,wt=27): 2272 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(2252(a,1),464(a,1,1))]. given #2716 (H,wt=27): 2273 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(2252(a,1),474(a,1,2,2))]. given #2717 (H,wt=27): 2329 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(1580(a,1),100(a,1,2))]. given #2718 (H,wt=25): 2897 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(12(a,1),2329(a,1,2,1,2,2))]. given #2719 (H,wt=19): 2898 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(2067,a,2897,a)]. given #2720 (H,wt=17): 2901 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(227,a,2783,a,b,2898,a)]. given #2721 (H,wt=17): 2904 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(2901(a,1),14(a,1,2))]. given #2722 (H,wt=17): 2905 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(62(a,1),2904(a,1,2,2,1)),flip(a)]. given #2723 (H,wt=19): 2899 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(2066,a,2897,a),flip(a)]. given #2724 (H,wt=20): 2903 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(2898(a,2),2436(a,1,1)),flip(a)]. given #2725 (H,wt=20): 2906 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(108(a,2),2905(a,1,2))]. given #2726 (H,wt=16): 2909 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),2906(a,2,2,2))]. given #2727 (H,wt=21): 2902 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(73,a,2898,a(flip),b,665,a)]. given #2728 (H,wt=21): 2908 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(2632(a,1),2899(a,1,2))]. given #2729 (H,wt=19): 2912 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(227,a,2868,a(flip),b,2908,a)]. given #2730 (H,wt=21): 2913 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2655(a,2),2912(a,1,2))]. given #2731 (H,wt=24): 2910 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(2909(a,1),785(a,1,1,2)),flip(a)]. given #2732 (H,wt=20): 2914 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),2910(a,2,1))]. given #2733 (H,wt=26): 2907 x \ T(x,x / (x * y)) != z * u | (y * ((x * (y \ 1)) / x)) / u = z. [para(2899(a,1),458(a,1,2))]. given #2734 (H,wt=27): 2331 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(1581(a,1),100(a,1,2))]. given #2735 (H,wt=27): 2335 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(1640(a,1),471(a,1,2))]. given #2736 (H,wt=23): 2916 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(26(a,2),2335(a,1,2,1)),flip(a)]. given #2737 (H,wt=22): 2917 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(2035(a,1),2916(a,1,2))]. given #2738 (H,wt=13): 2918 (x * y) * T(K(y,x),x) = y * x. [para(953(a,1),2917(a,1,2)),flip(a)]. given #2739 (H,wt=9): 2919 T(K(x,y),y) = K(x,y). [hyper(238,a,2918,a),flip(a)]. given #2740 (H,wt=7): 2920 T(x,K(y,x)) = x. [hyper(35,a,2919,a)]. given #2741 (H,wt=9): 2933 T(x,y \ T(y,x)) = x. [para(2195(a,1),2920(a,1,2))]. given #2742 (H,wt=11): 2922 K(x,y) * y = y * K(x,y). [para(2919(a,1),113(a,1,2)),flip(a)]. given #2743 (H,wt=11): 2923 (x * K(y,x)) / x = K(y,x). [para(2919(a,1),161(a,1,1,2))]. given #2744 (H,wt=11): 2927 T(T(x,y),K(z,x)) = T(x,y). [para(2920(a,1),38(a,1,1)),flip(a)]. given #2745 (H,wt=11): 2934 T(x,x \ ((y * x) / y)) = x. [para(2495(a,1),2920(a,1,2))]. given #2746 (H,wt=11): 2938 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,2927,a)]. given #2747 (H,wt=13): 2921 (1 / x) * K(y,x) = K(y,x) / x. [hyper(73,a,2919,a(flip),b,625,a(flip)),flip(a)]. given #2748 (H,wt=13): 2925 x * (K(y,x) \ 1) = K(y,x) \ x. [para(2919(a,1),659(a,1,2,1))]. given #2749 (H,wt=13): 2935 T(x \ T(x,y),y) = x \ T(x,y). [hyper(35,a,2933,a)]. given #2750 (H,wt=13): 2942 T(K(x,T(y,z)),y) = K(x,T(y,z)). [para(2496(a,1),2938(a,1,2))]. given #2751 (H,wt=9): 2947 T(x,K(y,T(x,z))) = x. [hyper(35,a,2942,a)]. given #2752 (H,wt=13): 2943 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(72,a,2921,a(flip),b,2219,a)]. given #2753 (H,wt=13): 2944 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(72,a,2925,a(flip),b,2220,a)]. given #2754 (H,wt=13): 2948 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(949,a,2943,a)]. given #2755 (H,wt=13): 2949 (1 / x) * (x * K(y,x)) = K(y,x). [para(2943(a,1),948(a,1,1))]. given #2756 (H,wt=13): 2951 (1 / x) \ K(y,x) = x * K(y,x). [para(2948(a,1),65(a,1,1))]. given #2757 (H,wt=14): 2924 (x * K(y,x)) / x != z | K(y,x) = z. [para(2919(a,1),297(a,1,1,2)),flip(b)]. given #2758 (H,wt=15): 2928 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2920(a,1),175(a,1,2,1)),flip(a)]. given #2759 (H,wt=15): 2929 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(2920(a,1),251(a,1,1)),flip(a)]. given #2760 (H,wt=15): 2939 ((x * y) / x) / y = y \ ((x * y) / x). [para(2934(a,1),190(a,1,2))]. given #2761 (H,wt=15): 2955 x * (((y * x) / y) / x) = (y * x) / y. [para(2939(a,2),14(a,1,2))]. given #2762 (H,wt=16): 2945 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(2925(a,1),19(a,1))]. given #2763 (H,wt=16): 2952 (1 / x) \ K(y,x) != z | x * K(y,x) = z. [para(2948(a,1),281(a,1,1)),flip(b)]. given #2764 (H,wt=17): 2926 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2919(a,1),176(a,1,2,1)),flip(a)]. given #2765 (H,wt=10): 2960 T(x,L(K(y,x),z,u)) = x. [hyper(167,a,2926,a)]. given #2766 (H,wt=17): 2930 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2920(a,1),176(a,1,2,1)),flip(a)]. given #2767 (H,wt=12): 2961 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(167,a,2930,a)]. given #2768 (H,wt=17): 2931 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2920(a,1),177(a,1,2,1)),flip(a)]. given #2769 (H,wt=17): 2950 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(2944(a,1),1762(a,1,2,1))]. given #2770 (H,wt=17): 2954 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(72,a,2949,a(flip),b,133,a(flip)),flip(a)]. given #2771 (H,wt=18): 2932 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2920(a,1),394(a,1,2,1))]. given #2772 (H,wt=18): 2940 T(x,y) * K(z,x) != u * T(x,y) | K(z,x) = u. [para(2938(a,1),169(a,1,2)),flip(b)]. given #2773 (H,wt=18): 2941 T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. [para(2938(a,1),210(a,1,2))]. given #2774 (H,wt=18): 2946 x * (y \ T(y,x)) != z | (y \ T(y,x)) * x = z. [para(2935(a,1),210(a,1,2))]. given #2775 (H,wt=18): 2957 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(2955(a,1),19(a,1))]. given #2776 (H,wt=20): 2936 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2922(a,1),109(a,1,2))]. given #2777 (H,wt=20): 2953 (1 / x) * (x * K(y,x)) != z * u | z \ K(y,x) = u. [para(2948(a,1),278(a,1,1))]. given #2778 (H,wt=20): 2959 x \ K(y,x \ 1) != z | (x \ 1) * K(y,x \ 1) = z. [para(62(a,1),2952(a,1,1))]. given #2779 (H,wt=21): 2958 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(686(a,1),2955(a,1,2))]. given #2780 (H,wt=21): 2962 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(227,a,245,a(flip),b,2950,a(flip))]. given #2781 (H,wt=21): 2964 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(227,a,418,a(flip),b,2962,a(flip))]. given #2782 (H,wt=24): 2937 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2923(a,1),517(a,1,1,1))]. given #2783 (H,wt=24): 2963 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(2958(a,1),19(a,1))]. given #2784 (H,wt=27): 2423 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),2419(a,1,1,2))]. given #2785 (H,wt=27): 2426 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),2417(a,1,2,1)),flip(a)]. given #2786 (H,wt=27): 2505 T((x * y) / x,x) * (y * (x \ 1)) = (x \ ((x * y) / x)) * ((x * y) / x). [para(1258(a,1),2498(a,1,2))]. given #2787 (H,wt=21): 2967 (x \ ((x * y) / x)) * ((x * y) / x) = y * (y * (x \ 1)). [para(160(a,1),2505(a,1,1)),flip(a)]. given #2788 (H,wt=21): 2968 (x * y) * (x \ ((x * y) / x)) = x * (y * (y * (x \ 1))). [para(2967(a,1),952(a,1,2)),flip(a)]. given #2789 (H,wt=19): 2969 (x * y) * (y * (x \ 1)) = x * (y * (y * (x \ 1))). [para(1258(a,1),2968(a,1,2))]. given #2790 (H,wt=21): 2970 T(x,y \ 1) * T(x,y \ 1) = y * (x * (x * (y \ 1))). [hyper(227,a,2689,a,b,2969,a(flip)),flip(a)]. given #2791 (H,wt=27): 2550 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(2546(a,1),474(a,1,1))]. given #2792 (H,wt=27): 2569 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2347(a,1),1797(a,1,1))]. given #2793 (H,wt=25): 2971 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(2285(a,1),2569(a,1,2))]. given #2794 (H,wt=23): 2972 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(2285(a,1),2971(a,2,1,2))]. given #2795 (H,wt=21): 2973 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1444(a,1),2972(a,2,1))]. given #2796 (H,wt=24): 2974 T(1 / (1 / x),y) != z * K(x \ 1,x) | x * (T(x,y) / x) = z. [para(2973(a,1),20(a,1))]. given #2797 (H,wt=27): 2602 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(2286(a,1),2601(a,1,2,1))]. given #2798 (H,wt=23): 2975 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(2286(a,1),2602(a,2,1))]. given #2799 (H,wt=23): 2976 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(78,a,2975,a)]. given #2800 (H,wt=26): 2977 (x \ 1) \ (K(x,x \ 1) * y) != K(x,x \ 1) * z | (x \ 1) \ y = z. [para(2975(a,1),77(a,1,2)),flip(b)]. given #2801 (H,wt=27): 2644 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(1636(a,1),2607(a,1,1)),flip(a)]. given #2802 (H,wt=27): 2648 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(2063(a,1),2645(a,2,1,2))]. given #2803 (H,wt=19): 2978 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(14(a,1),2648(a,2,1))]. given #2804 (H,wt=19): 2979 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(227,a,1085,a(flip),b,2978,a)]. given #2805 (H,wt=13): 2980 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2979(a,1),2216(a,1,2))]. given #2806 (H,wt=19): 2981 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(2980(a,1),113(a,1,2))]. given #2807 (H,wt=15): 2982 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(550,a,2981,a)]. given #2808 (H,wt=13): 2984 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(227,a,698,a(flip),b,2982,a(flip)),flip(a)]. given #2809 (H,wt=15): 2983 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(312,a,2981,a),flip(a)]. given #2810 (H,wt=17): 2985 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(1679,a,2984,a)]. given #2811 (H,wt=17): 2986 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [hyper(571,a,2984,a)]. given #2812 (H,wt=13): 2991 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(166,a,664,a,b,2986,a)]. given #2813 (H,wt=15): 2992 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(227,a,424,a,b,2991,a)]. given #2814 (H,wt=15): 2993 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(644(a,1),2991(a,1,2))]. given #2815 (H,wt=17): 2995 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2993(a,1,2))]. given #2816 (H,wt=17): 2996 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(227,a,1788,a,b,2995,a)]. given #2817 (H,wt=17): 2997 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(114(a,2),2996(a,2,2,2)),flip(a)]. given #2818 (H,wt=17): 2998 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(2997(a,1),65(a,1,1))]. given #2819 (H,wt=18): 2994 T(x,T(x,y) \ 1) != x * z | K(x,x \ 1) = z. [para(2991(a,2),450(a,1))]. given #2820 (H,wt=19): 2988 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2984(a,1,1,2)),flip(a)]. given #2821 (H,wt=17): 2999 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2988(a,1,1)),flip(a)]. given #2822 (H,wt=21): 3000 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2999(a,1,1,2)),flip(a)]. given #2823 (H,wt=17): 3001 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),3000(a,1,1)),flip(a)]. given #2824 (H,wt=17): 3002 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3001(a,1),62(a,1,2))]. given #2825 (H,wt=20): 3003 1 / (x \ ((y * x) / y)) != z | ((y * x) / y) \ x = z. [para(3001(a,1),292(a,1,2)),flip(b)]. given #2826 (H,wt=22): 2989 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(2909(a,1),2984(a,1,1,2)),flip(a)]. given #2827 (H,wt=18): 3004 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2989(a,2,1))]. given #2828 (H,wt=13): 3006 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3004(a,1),2914(a,1,2))]. given #2829 (H,wt=7): 3007 T(x,K(x,y)) = x. [hyper(18,a,1244,a,b,3006,a),flip(a)]. given #2830 (H,wt=9): 3009 T(K(x,y),x) = K(x,y). [hyper(35,a,3007,a)]. given #2831 (H,wt=11): 3010 K(x,y) * x = x * K(x,y). [para(3007(a,1),113(a,1,2))]. given #2832 (H,wt=11): 3021 T(x,y \ ((x * y) / x)) = x. [para(2785(a,1),3007(a,1,2))]. given #2833 (H,wt=9): 3023 T(x,T(y,x) \ y) = x. [para(161(a,1),3021(a,1,2,2))]. given #2834 (H,wt=13): 3014 K(x,y) \ (x \ K(x,y)) = x \ 1. [para(3007(a,1),655(a,1,1)),flip(a)]. given #2835 (H,wt=13): 3015 K(x,y) * (x \ 1) = x \ K(x,y). [para(3007(a,1),659(a,1,2,1))]. given #2836 (H,wt=13): 3019 (1 / x) * K(x,y) = K(x,y) / x. [para(3007(a,1),1202(a,1,2)),flip(a)]. given #2837 (H,wt=13): 3027 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1862,a,3015,a)]. given #2838 (H,wt=14): 3011 K(x,y) * x != z | x * K(x,y) = z. [para(3007(a,1),210(a,1,2))]. given #2839 (H,wt=15): 3012 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3007(a,1),175(a,1,2,1)),flip(a)]. given #2840 (H,wt=15): 3013 T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). [para(3007(a,1),116(a,2,1,1))]. given #2841 (H,wt=13): 3030 T(K(x,y),T(T(x,z),u)) = K(x,y). [hyper(35,a,3013,a)]. given #2842 (H,wt=15): 3018 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3007(a,1),433(a,1,1,2)),flip(a)]. given #2843 (H,wt=13): 3031 T(K(x,y),(z * x) / z) = K(x,y). [hyper(35,a,3018,a)]. given #2844 (H,wt=15): 3024 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3023(a,1),113(a,1,2))]. given #2845 (H,wt=15): 3032 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),3031(a,1,2,1))]. given #2846 (H,wt=13): 3035 T(x / y,K(y \ x,z)) = x / y. [hyper(35,a,3032,a)]. given #2847 (H,wt=16): 3026 K(x,y) * (x \ 1) != z | x \ K(x,y) = z. [para(3014(a,1),205(a,1,2)),flip(b)]. given #2848 (H,wt=16): 3029 (x \ 1) \ 1 != y | x * K(x,x \ 1) = y. [para(2266(a,1),3011(a,1))]. given #2849 (H,wt=17): 3016 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3007(a,1),176(a,1,2,1)),flip(a)]. given #2850 (H,wt=12): 3038 T(K(x,y),L(x,z,u)) = K(x,y). [hyper(167,a,3016,a)]. given #2851 (H,wt=17): 3017 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3007(a,1),177(a,1,2,1)),flip(a)]. given #2852 (H,wt=12): 3040 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(167,a,3017,a)]. given #2853 (H,wt=17): 3022 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3009(a,1),177(a,1,2,1)),flip(a)]. given #2854 (H,wt=10): 3041 K(x,R(K(x,y),z,u)) = 1. [hyper(71,a,3022,a,b,92,a),flip(a)]. given #2855 (H,wt=18): 3025 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(3023(a,1),210(a,1,2))]. given #2856 (H,wt=20): 3020 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3007(a,1),395(a,1,2,1))]. given #2857 (H,wt=20): 3033 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(227,a,2744,a,b,3024,a(flip)),flip(a)]. given #2858 (H,wt=21): 3034 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3024(a,1),2873(a,1,2,1))]. given #2859 (H,wt=21): 3042 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3024(a,1),3034(a,2,1))]. given #2860 (H,wt=24): 3028 (K(x,y) / x) * L(z,K(x,y),1 / x) = (1 / x) * (K(x,y) * z). [para(3019(a,1),100(a,1,1))]. given #2861 (H,wt=25): 2987 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(42(a,2),2984(a,1,1,2))]. given #2862 (H,wt=25): 3043 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(42(a,2),2987(a,2,1))]. given #2863 (H,wt=26): 3039 L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. [para(3038(a,1),396(a,1,2,1))]. given #2864 (H,wt=27): 2650 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(227,a,427,a(flip),b,2649,a)]. given #2865 (H,wt=27): 2653 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),2609(a,1,2,2,1,2,2))]. given #2866 (H,wt=27): 2657 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(1647(a,1),2638(a,1,1)),flip(a)]. given #2867 (H,wt=25): 3044 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(113(a,1),2657(a,1,2)),flip(a)]. given #2868 (H,wt=25): 3045 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(2588,a,3044,a)]. given #2869 (H,wt=17): 3046 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(66(a,1),3045(a,1,1))]. given #2870 (H,wt=17): 3047 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),3046(a,2,2,1,2)),flip(a)]. given #2871 (H,wt=15): 3051 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(3047(a,1),2471(a,1,2))]. given #2872 (H,wt=13): 3052 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(1973,a,3051,a)]. given #2873 (H,wt=17): 3048 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),3047(a,1,2,1)),flip(a)]. given #2874 (H,wt=20): 3053 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(3048(a,2),19(a,1))]. given #2875 (H,wt=23): 3049 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(93(a,1),3047(a,1,2,1)),flip(a)]. given #2876 (H,wt=24): 3050 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(3047(a,1),441(a,1,2))]. given #2877 (H,wt=27): 2668 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(1583(a,1),461(a,1,2)),flip(a)]. given #2878 (H,wt=23): 3056 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(2783(a,2),2668(a,1,2))]. given #2879 (H,wt=21): 3057 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(12(a,1),3056(a,2,2,1,2,2))]. given #2880 (H,wt=25): 3055 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),2668(a,2,2,1,2,2))]. given #2881 (H,wt=25): 3058 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),3057(a,1,2,2,1,2)),flip(a)]. given #2882 (H,wt=21): 3059 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(166,a,2778,a(flip),b,3058,a(flip))]. given #2883 (H,wt=19): 3061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(2786(a,1),3059(a,1,1)),flip(a)]. given #2884 (H,wt=21): 3062 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(2898(a,2),3059(a,1,1))]. given #2885 (H,wt=21): 3063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(2363(a,1),3061(a,1,2,1,2)),flip(a)]. given #2886 (H,wt=17): 3064 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(62(a,1),3063(a,2,2,1))]. given #2887 (H,wt=19): 3065 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),3064(a,1,1,2))]. given #2888 (H,wt=15): 3066 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),3065(a,1,2,1))]. given #2889 (H,wt=11): 3067 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),3066(a,2,2))]. given #2890 (H,wt=11): 3069 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,3067,a)]. given #2891 (H,wt=15): 3070 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(3067(a,1),113(a,1,2))]. given #2892 (H,wt=18): 3071 K(x,y) * K(z,x) != K(z,x) * u | K(x,y) = u. [para(3067(a,1),168(a,1,2)),flip(b)]. given #2893 (H,wt=18): 3072 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(3067(a,1),210(a,1,2))]. given #2894 (H,wt=18): 3077 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(3069(a,1),210(a,1,2))]. given #2895 (H,wt=19): 3073 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(3067(a,1),175(a,1,2,1)),flip(a)]. given #2896 (H,wt=21): 3074 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(3067(a,1),176(a,1,2,1)),flip(a)]. given #2897 (H,wt=21): 3075 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(3067(a,1),177(a,1,2,1)),flip(a)]. given #2898 (H,wt=21): 3078 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(3069(a,1),177(a,1,2,1)),flip(a)]. given #2899 (H,wt=24): 3076 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(3067(a,1),395(a,1,2,1))]. given #2900 (H,wt=24): 3079 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(3069(a,1),396(a,1,2,1))]. given #2901 (H,wt=25): 3060 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(227,a,2783,a(flip),b,3059,a),flip(a)]. given #2902 (H,wt=21): 3080 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),3060(a,2,1,2,1))]. given #2903 (H,wt=19): 3081 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(664(a,1),3080(a,1,2,1))]. given #2904 (H,wt=19): 3082 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(2255(a,2),3081(a,2,1))]. given #2905 (H,wt=17): 3083 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(3082(a,1),2913(a,1,2))]. given #2906 (H,wt=13): 3084 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(17,a,2992,a(flip),b,3083,a)]. given #2907 (H,wt=9): 3085 T(x,K(y,y \ 1)) = x. [hyper(35,a,3084,a)]. given #2908 (H,wt=9): 3098 T(x,K(y \ 1,y)) = x. [para(2254(a,1),3085(a,1,2))]. given #2909 (H,wt=13): 3101 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,3098,a)]. given #2910 (H,wt=13): 3106 T((x \ 1) * x,y) = K(x \ 1,x). [para(182(a,1),3101(a,1,1))]. given #2911 (H,wt=15): 3087 K(x,x \ 1) * y = y * K(x,x \ 1). [para(3084(a,1),113(a,1,2)),flip(a)]. given #2912 (H,wt=15): 3099 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(3053,a,3098,a),flip(a)]. given #2913 (H,wt=15): 3105 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(227,a,2626,a,b,3101,a(flip)),flip(a)]. given #2914 (H,wt=17): 3086 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(73,a,3084,a(flip),b,625,a(flip)),flip(a)]. given #2915 (H,wt=17): 3100 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(654,a,3098,a)]. given #2916 (H,wt=17): 3116 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(3099(a,1),453(a,1,1))]. given #2917 (H,wt=17): 3120 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(3105(a,1),2196(a,1,1))]. given #2918 (H,wt=15): 3124 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(227,a,1093,a(flip),b,3120,a)]. given #2919 (H,wt=15): 3125 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3124(a,1),16(a,1,1))]. given #2920 (H,wt=15): 3126 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(331,a,3125,a)]. given #2921 (H,wt=17): 3121 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [hyper(227,a,3087,a,b,3086,a(flip)),flip(a)]. given #2922 (H,wt=17): 3128 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [para(3126(a,1),1442(a,1,1))]. given #2923 (H,wt=17): 3129 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3126(a,1),1610(a,1,2))]. given #2924 (H,wt=11): 3131 x * (T(x,y) / x) = T(x,y). [hyper(18,a,2973,a,b,3129,a),flip(a)]. given #2925 (H,wt=9): 3134 K(x,T(x,y) / x) = 1. [hyper(71,a,3131,a(flip),b,237,a),flip(a)]. given #2926 (H,wt=11): 3133 T(x,y) / x = x \ T(x,y). [hyper(78,a,3131,a),flip(a)]. given #2927 (H,wt=9): 3145 K(x,x \ T(x,y)) = 1. [para(3133(a,1),3134(a,1,2))]. given #2928 (H,wt=9): 3146 T(x,x \ T(x,y)) = x. [hyper(37,a,3145,a)]. given #2929 (H,wt=11): 3135 (x \ T(x,y)) * x = T(x,y). [para(3131(a,1),66(a,1,1,2))]. given #2930 (H,wt=11): 3137 T(1 / x,T(x,y)) = x \ 1. [hyper(72,a,3134,a(flip),b,2087,a),flip(a)]. given #2931 (H,wt=13): 3139 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1297,a,3133,a)]. given #2932 (H,wt=13): 3147 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(2195(a,2),3146(a,1,2))]. given #2933 (H,wt=13): 3151 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(227,a,65,a(flip),b,3137,a)]. given #2934 (H,wt=13): 3152 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3137(a,1),178(a,1,1)),flip(a)]. given #2935 (H,wt=13): 3154 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3151(a,1),1531(a,1,1)),flip(a)]. given #2936 (H,wt=14): 3136 x \ T(x,y) != z | T(x,y) / x = z. [para(3131(a,1),282(a,1,2)),flip(b)]. given #2937 (H,wt=14): 3142 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3133(a,1),207(a,1,1)),flip(b)]. given #2938 (H,wt=15): 3150 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),3135(a,1,1,2))]. given #2939 (H,wt=16): 3143 x \ T(x,y) != z | (1 / x) * T(x,y) = z. [para(3133(a,1),1297(a,1))]. given #2940 (H,wt=16): 3148 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(227,a,2903,a,b,3135,a(flip)),flip(a)]. given #2941 (H,wt=15): 3157 T(x,x / (y * x)) = T(x,x / (x * y)). [para(157(a,1),3148(a,1,2))]. given #2942 (H,wt=17): 3140 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(683,a,3133,a),flip(a)]. given #2943 (H,wt=17): 3141 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(227,a,1793,a,b,3133,a(flip)),flip(a)]. given #2944 (H,wt=17): 3153 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3137(a,1),2197(a,1,1)),flip(a)]. given #2945 (H,wt=15): 3165 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3152(a,1),3153(a,1,2)),flip(a)]. given #2946 (H,wt=13): 3166 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(227,a,271,a(flip),b,3165,a)]. given #2947 (H,wt=17): 3159 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(227,a,2191,a,b,3140,a),flip(a)]. given #2948 (H,wt=18): 3088 K(x,x \ 1) * y != z * K(x,x \ 1) | y = z. [para(3084(a,1),168(a,1,2)),flip(a)]. given #2949 (H,wt=18): 3089 x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. [para(3084(a,1),169(a,1,2)),flip(b)]. given #2950 (H,wt=18): 3090 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(3084(a,1),210(a,1,2))]. given #2951 (H,wt=18): 3093 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(3085(a,1),210(a,1,2))]. given #2952 (H,wt=18): 3102 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(3098(a,1),169(a,1,2))]. given #2953 (H,wt=18): 3103 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(3098(a,1),210(a,1,2))]. given #2954 (H,wt=16): 3169 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1865(a,1),3103(a,1))]. given #2955 (H,wt=18): 3107 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(3101(a,1),168(a,1,2)),flip(a)]. given #2956 (H,wt=18): 3108 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(3101(a,1),210(a,1,2))]. given #2957 (H,wt=18): 3127 K(x \ 1,x) / T(x,y) != z | T(x,y) \ 1 = z. [para(3125(a,1),293(a,1,1)),flip(b)]. given #2958 (H,wt=16): 3170 T(1 / T(x,y),x) != z | T(x,y) \ 1 = z. [para(3120(a,1),3127(a,1))]. given #2959 (H,wt=18): 3138 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(2745,a,3133,a),flip(a)]. given #2960 (H,wt=18): 3160 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3140(a,1),855(a,2,1)),flip(a)]. given #2961 (H,wt=19): 3113 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,3099,a)]. given #2962 (H,wt=19): 3156 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3154(a,1),1943(a,1,1))]. given #2963 (H,wt=20): 3094 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3085(a,1),654(a,1))]. given #2964 (H,wt=20): 3096 K(x,x \ 1) * (y \ 1) != z | y \ K(x,x \ 1) = z. [para(3085(a,1),1249(a,1))]. given #2965 (H,wt=20): 3122 K(x \ 1,x) / y != (1 / y) * z | K(x \ 1,x) = z. [para(3100(a,1),19(a,1))]. given #2966 (H,wt=20): 3130 T(x,y) \ 1 != K(x \ 1,x) * z | 1 / T(x,y) = z. [para(3128(a,1),19(a,1))]. given #2967 (H,wt=20): 3144 (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(3133(a,1),683(a,1))]. given #2968 (H,wt=20): 3162 (x \ 1) \ T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(3140(a,2),2193(a,1))]. given #2969 (H,wt=20): 3163 (1 / x) * T((1 / x) \ 1,y) != z | T(x,y) / x = z. [para(3141(a,2),3136(a,1))]. given #2970 (H,wt=20): 3172 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3138(a,1),1094(a,1,2)),flip(a)]. given #2971 (H,wt=18): 3174 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(227,a,3002,a(flip),b,3172,a)]. given #2972 (H,wt=20): 3175 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(161(a,1),3174(a,2,1))]. given #2973 (H,wt=15): 3176 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3033(a,1),3175(a,1,1))]. given #2974 (H,wt=15): 3177 (x * (T(y,x) \ y)) * (y \ T(y,x)) = x. [para(3176(a,1),14(a,1,2))]. given #2975 (H,wt=15): 3178 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3176(a,1),62(a,1,2))]. given #2976 (H,wt=17): 3180 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3176(a,1),3042(a,1,2)),flip(a)]. given #2977 (H,wt=18): 3179 (x * (T(y,x) \ y)) * (y \ T(y,x)) != z | z = x. [para(3176(a,1),205(a,1,2))]. given #2978 (H,wt=21): 3109 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(227,a,2817,a(flip),b,3087,a(flip))]. given #2979 (H,wt=21): 3123 (1 / x) \ (y * K(z \ 1,z)) = x / (y \ K(z,z \ 1)). [para(3116(a,1),317(a,1,2)),flip(a)]. given #2980 (H,wt=21): 3161 L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. [para(3140(a,1),857(a,1,1))]. given #2981 (H,wt=22): 3095 K(x,x \ 1) * y != z * u | z \ (y * K(x,x \ 1)) = u. [para(3085(a,1),547(a,1,2))]. given #2982 (H,wt=22): 3149 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3135(a,1),28(a,2,1)),flip(a)]. given #2983 (H,wt=21): 3182 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3149(a,1),1979(a,1,2)),flip(a)]. given #2984 (H,wt=22): 3171 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3138(a,1),785(a,1,1)),flip(a)]. given #2985 (H,wt=19): 3184 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3174(a,1),3171(a,1,2)),flip(a)]. given #2986 (H,wt=21): 3185 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(161(a,1),3184(a,1,1,2)),flip(a)]. given #2987 (H,wt=15): 3186 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(161(a,1),3185(a,1,2,1)),flip(a)]. given #2988 (H,wt=15): 3187 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3186(a,1),14(a,1,2))]. given #2989 (H,wt=22): 3173 T(x,x \ 1) * T(x \ 1,y) != x * z | T(1 / x,y) = z. [para(3156(a,2),19(a,1))]. given #2990 (H,wt=23): 3111 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(123(a,1),3087(a,2,2,2))]. given #2991 (H,wt=23): 3158 (x \ T(x,x / (x * y))) * x != z | T(x,R(1 / y,y,x)) = z. [para(3148(a,1),3142(a,1,1,2))]. given #2992 (H,wt=23): 3188 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(123(a,1),3111(a,1,1,2))]. given #2993 (H,wt=24): 3183 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3182(a,2),19(a,1))]. given #2994 (H,wt=25): 3155 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3152(a,1),2625(a,1,1,2)),flip(a)]. given #2995 (H,wt=23): 3190 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1169(a,1),3155(a,1,1))]. given #2996 (H,wt=21): 3191 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),3190(a,2,1))]. given #2997 (H,wt=19): 3192 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(227,a,3106,a(flip),b,3191,a)]. given #2998 (H,wt=19): 3194 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3192(a,1),2205(a,1,1)),flip(a)]. given #2999 (H,wt=15): 3195 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(227,a,3124,a(flip),b,3194,a)]. given #3000 (H,wt=15): 3197 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3195(a,1),3192(a,1,1))]. given #3001 (H,wt=26): 3114 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(3099(a,1),100(a,1,1))]. given #3002 (H,wt=26): 3189 x * K(y * z,z \ (y \ 1)) != u * x | K(y * z,z \ (y \ 1)) = u. [para(3188(a,1),20(a,1))]. given #3003 (H,wt=27): 2729 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(664(a,1),2728(a,1,2,1,2))]. given #3004 (H,wt=19): 3200 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(14(a,1),2729(a,1,2,1)),flip(a)]. given #3005 (H,wt=27): 2799 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(227,a,1633,a(flip),b,2776,a(flip))]. given #3006 (H,wt=25): 3201 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(1633(a,1),2799(a,1,1))]. given #3007 (H,wt=24): 3202 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(401(a,1),3201(a,1,1,2,2)),flip(a)]. given #3008 (H,wt=19): 3203 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(401(a,1),3202(a,1,2,2)),flip(a)]. given #3009 (H,wt=19): 3204 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(2255(a,2),3203(a,1,1,2))]. given #3010 (H,wt=19): 3205 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(2255(a,2),3204(a,2,2))]. given #3011 (H,wt=19): 3206 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(78,a,3205,a)]. given #3012 (H,wt=20): 3207 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(3206(a,1),1851(a,1,1)),flip(a)]. given #3013 (H,wt=27): 2820 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(2259(a,1),2816(a,1,2,1))]. given #3014 (H,wt=23): 3208 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(2259(a,1),2820(a,2,1))]. given #3015 (H,wt=23): 3209 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(78,a,3208,a)]. given #3016 (H,wt=26): 3210 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(227,a,1447,a,b,3209,a(flip)),flip(a)]. given #3017 (H,wt=27): 2827 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(166,a,2777,a(flip),b,2323,a),flip(a)]. given #3018 (H,wt=25): 3211 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),2827(a,1,1))]. given #3019 (H,wt=23): 3212 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),3211(a,1,2,1,1))]. given #3020 (H,wt=27): 2877 (x / ((y / x) \ x)) \ ((y / x) \ x) = ((1 / x) * (y / x)) \ ((x \ y) \ 1). [para(313(a,1),1266(a,1,1)),flip(a)]. given #3021 (H,wt=25): 3214 (x / ((y / x) \ x)) \ ((y / x) \ x) = ((x \ y) / x) \ ((x \ y) \ 1). [para(637(a,1),2877(a,2,1))]. given #3022 (H,wt=23): 3215 (x / ((y / x) \ x)) \ ((y / x) \ x) = x / ((x \ y) * (x \ y)). [hyper(227,a,2109,a(flip),b,3214,a)]. given #3023 (H,wt=19): 3216 x / ((x \ y) * (x \ y)) = (y / x) \ ((y / x) \ x). [para(62(a,1),3215(a,1,1)),flip(a)]. given #3024 (H,wt=27): 2884 (x \ (((1 / 1) \ (x * y)) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ (y \ 1)). [para(340(a,1),1799(a,1,1,2,1))]. given #3025 (H,wt=25): 3218 (x \ 1) * ((y * (x \ 1)) \ (z \ 1)) = (x \ ((1 \ (x * z)) * y)) \ 1. [para(59(a,1),2884(a,1,1,2,1,1)),flip(a)]. given #3026 (H,wt=23): 3219 (x \ 1) * ((y * (x \ 1)) \ (z \ 1)) = (x \ ((x * z) * y)) \ 1. [para(50(a,1),3218(a,2,1,2,1))]. given #3027 (H,wt=23): 3221 (x \ ((x * (1 / y)) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ y). [para(65(a,1),3219(a,1,2,2)),flip(a)]. given #3028 (H,wt=27): 2885 T(x / (y * (z \ (y / z))),y / z) = T(x * (z * (y \ 1)),x) / (y / z). [para(926(a,1),2029(a,1,1,2))]. given #3029 (H,wt=27): 2966 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1712(a,1),2423(a,2,2,2))]. given #3030 (H,wt=21): 3222 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(227,a,200,a(flip),b,2966,a)]. given #3031 (H,wt=19): 3224 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(3222(a,1),2127(a,1,1)),flip(a)]. given #3032 (H,wt=17): 3225 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(227,a,1715,a(flip),b,3224,a(flip)),flip(a)]. given #3033 (H,wt=18): 3226 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(410,a,3225,a)]. given #3034 (H,wt=21): 3227 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),3225(a,1,1,2))]. given #3035 (H,wt=17): 3229 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),3227(a,2,2))]. given #3036 (H,wt=14): 3230 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(410,a,3229,a)]. given #3037 (H,wt=14): 3233 L(x \ 1,x,y / (x * y)) = 1 / x. [para(968(a,1),3230(a,1,3))]. given #3038 (H,wt=15): 3235 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(157(a,2),3233(a,1,3))]. given #3039 (H,wt=17): 3231 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(3229(a,1),14(a,1,2))]. given #3040 (H,wt=17): 3232 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(3229(a,1),62(a,1,2))]. given #3041 (H,wt=18): 3237 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(156(a,2),3231(a,1,1,1)),flip(a)]. given #3042 (H,wt=19): 3234 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(3230(a,1),382(a,1,1)),flip(a)]. given #3043 (H,wt=19): 3236 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(3235(a,1),383(a,1,2))]. given #3044 (H,wt=14): 3240 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1343,a,3236,a)]. given #3045 (H,wt=13): 3241 T(1 / (1 / x),y / (x * y)) = x. [para(157(a,1),3240(a,1,2))]. given #3046 (H,wt=13): 3242 T(x,y / (x * y)) = T(x,x \ 1). [para(3241(a,1),1531(a,1,1)),flip(a)]. given #3047 (H,wt=13): 3243 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(227,a,114,a(flip),b,3242,a)]. given #3048 (H,wt=13): 3245 T(x,(x \ y) / y) = T(x,x \ 1). [para(14(a,1),3242(a,1,2,2))]. given #3049 (H,wt=13): 3250 T(x,(y * x) \ y) = T(x,x \ 1). [para(967(a,1),3245(a,1,2))]. given #3050 (H,wt=13): 3251 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(227,a,114,a(flip),b,3250,a)]. given #3051 (H,wt=15): 3244 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(72,a,3242,a,b,449,a)]. given #3052 (H,wt=15): 3247 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),3243(a,1,2,2))]. given #3053 (H,wt=15): 3249 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(945(a,1),3243(a,1,2))]. given #3054 (H,wt=15): 3255 T(x \ y,y \ x) \ 1 = (1 / y) * x. [para(3249(a,2),1060(a,1,1))]. given #3055 (H,wt=17): 3253 T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),3247(a,1,2))]. given #3056 (H,wt=16): 3258 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(227,a,737,a(flip),b,3253,a(flip)),flip(a)]. given #3057 (H,wt=16): 3260 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3258(a,2),1543(a,1,2))]. given #3058 (H,wt=16): 3261 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(227,a,3157,a(flip),b,3260,a)]. given #3059 (H,wt=17): 3254 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(65(a,1),3249(a,1,2))]. given #3060 (H,wt=17): 3262 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(157(a,2),3260(a,2,2)),flip(a)]. given #3061 (H,wt=18): 3248 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(3243(a,2),452(a,1,2))]. given #3062 (H,wt=19): 3239 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(602,a,3237,a)]. given #3063 (H,wt=20): 3264 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(227,a,2436,a,b,3262,a(flip)),flip(a)]. given #3064 (H,wt=21): 3252 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(92(a,1),3250(a,1,2,1))]. given #3065 (H,wt=17): 3265 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),3252(a,1,2)),flip(a)]. given #3066 (H,wt=15): 3266 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(416,a,3265,a),flip(a)]. given #3067 (H,wt=11): 3267 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(227,a,3069,a(flip),b,3266,a(flip))]. given #3068 (H,wt=11): 3268 1 / (1 / K(x,y)) = K(x,y). [hyper(1107,a,3267,a)]. given #3069 (H,wt=14): 3271 K(x,y) \ 1 != z | 1 / K(x,y) = z. [para(3268(a,1),281(a,1,1)),flip(b)]. given #3070 (H,wt=21): 3256 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(3249(a,1),2417(a,1,2)),flip(a)]. given #3071 (H,wt=22): 3228 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),3226(a,1,3))]. given #3072 (H,wt=17): 3273 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(854,a,3228,a)]. given #3073 (H,wt=24): 3272 x * (((x \ y) \ 1) \ 1) != y * z | K((y \ x) \ 1,y \ x) = z. [para(3256(a,1),19(a,1))]. given #3074 (H,wt=25): 3246 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(3242(a,1),2650(a,2,1))]. given #3075 (H,wt=25): 3257 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(3249(a,2),2630(a,2,1,2,2)),flip(a)]. given #3076 (H,wt=21): 3275 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(227,a,2629,a(flip),b,3257,a(flip))]. given #3077 (H,wt=25): 3263 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(3254(a,1),2638(a,1,1,2))]. given #3078 (H,wt=23): 3277 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),3263(a,2,2,2,1,2))]. given #3079 (H,wt=21): 3279 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(271(a,1),3277(a,2,2))]. given #3080 (H,wt=24): 3280 x * K(y \ 1,y) != z * y | x * (((x \ (x / y)) \ 1) \ 1) = z. [para(3279(a,1),20(a,1))]. given #3081 (H,wt=25): 3276 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),3275(a,1,1,1)),flip(a)]. given #3082 (H,wt=21): 3281 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),3276(a,1,1,1)),flip(a)]. given #3083 (H,wt=17): 3282 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),3281(a,2,2))]. given #3084 (H,wt=27): 3054 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(78,a,2668,a)]. given #3085 (H,wt=27): 3284 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),3054(a,1,2,2,1,2,2)),flip(a)]. given #3086 (H,wt=28): 750 ((x * (y \ 1)) * ((z \ 1) \ 1)) / ((z \ y) \ 1) = R(x,y \ 1,(z \ 1) \ 1). [para(257(a,1),30(a,2,2)),flip(a)]. given #3087 (H,wt=24): 3285 ((x \ (y / z)) \ 1) / ((x \ y) \ 1) = R(z,y \ 1,(x \ 1) \ 1). [para(752(a,1),750(a,1,1))]. given #3088 (H,wt=23): 3286 R(x,y \ 1,(z \ 1) \ 1) != u | (z \ (y / x)) \ (z \ y) = u. [para(3285(a,1),300(a,1))]. given #3089 (H,wt=28): 1098 R(x,T(y,z) \ y,(T(y,z) \ y) \ 1) = (x * (T(y,z) \ y)) * (y \ T(y,z)). [para(1095(a,1),184(a,1,2)),flip(a)]. given #3090 (H,wt=26): 3287 (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,y \ T(y,z)). [para(1095(a,1),1098(a,1,3)),flip(a)]. given #3091 (H,wt=14): 3288 R(x,T(y,x) \ y,y \ T(y,x)) = x. [hyper(3179,a,3287,a)]. given #3092 (H,wt=22): 3289 R((x * y) / x,T(z,y) \ z,z \ T(z,y)) = (x * y) / x. [para(3288(a,1),1482(a,2,1,2))]. given #3093 (H,wt=23): 3290 (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)) = (x * y) / x. [hyper(227,a,3287,a,b,3289,a(flip)),flip(a)]. given #3094 (H,wt=26): 3291 (x * y) / x != z * (u \ T(u,y)) | ((x * y) / x) * (T(u,y) \ u) = z. [para(3290(a,1),20(a,1))]. given #3095 (H,wt=28): 1372 (x * (1 / y)) \ (((y \ 1) \ (1 / x)) \ z) = L(z,x * (1 / y),x * (1 / y)). [para(1120(a,1),1364(a,1,2,1))]. given #3096 (H,wt=28): 1705 K(x \ 1,x) * L(1 / x,y,z) != u | L(1 / x,y,z) * K(x \ 1,x) = u. [para(1703(a,1),395(a,1,2,1))]. given #3097 (H,wt=28): 1824 (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. [para(539(a,1),209(a,1,2))]. given #3098 (H,wt=28): 1826 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(540(a,1),209(a,1,2))]. given #3099 (H,wt=28): 2117 R(x,x \ (y \ (z \ 1)),z) = ((y \ z) * (1 / z)) / ((x \ (y \ (z \ 1))) * z). [para(2112(a,1),107(a,2,1))]. given #3100 (H,wt=28): 2277 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2262(a,1),100(a,1,1))]. given #3101 (H,wt=28): 2278 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2262(a,1),102(a,2,1))]. given #3102 (H,wt=28): 2281 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(2267(a,1),100(a,1,1))]. given #3103 (H,wt=28): 2282 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(2267(a,1),109(a,1,2))]. given #3104 (H,wt=28): 2283 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(2275(a,1),523(a,1,1))]. given #3105 (H,wt=28): 2370 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(2315(a,2),2369(a,1,2))]. given #3106 (H,wt=24): 3292 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(65(a,1),2370(a,2,1,2))]. given #3107 (H,wt=28): 2374 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(102(a,1),930(a,1,2,1))]. given #3108 (H,wt=28): 2612 (x * y) * T((x * y) \ (z * y),u) != y * w | T(x * T(x \ z,u),y) = w. [para(2446(a,2),167(a,2)),flip(a)]. given #3109 (H,wt=28): 2656 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(2638(a,1),283(a,1,2))]. given #3110 (H,wt=28): 2665 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1473(a,1),2662(a,1,1,1))]. given #3111 (H,wt=28): 2740 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(1985(a,2),439(a,1))]. given #3112 (H,wt=28): 2741 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != (1 / x) * z | y * ((x \ 1) \ 1) = z. [para(2007(a,2),19(a,1))]. given #3113 (H,wt=28): 2747 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(2744(a,1),1132(a,1,1,2,1))]. given #3114 (H,wt=23): 3294 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(227,a,2744,a(flip),b,2747,a)]. given #3115 (H,wt=23): 3295 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3024(a,1),3294(a,1,1,2,1))]. given #3116 (H,wt=23): 3296 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(227,a,3024,a(flip),b,3295,a)]. given #3117 (H,wt=19): 3297 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3176(a,1),3296(a,1,1,2))]. given #3118 (H,wt=22): 3298 (x * (y \ T(y,x))) \ (x * x) != x * z | T(y,x) \ y = z. [para(3297(a,2),19(a,1))]. given #3119 (H,wt=28): 2806 x * L(x \ T(y,x),z,u) != w * v5 | w \ T(x * L(x \ y,z,u),x) = v5. [para(2804(a,1),392(a,1,2))]. given #3120 (H,wt=28): 2811 (x * y) * L((x * y) \ y,z,u) != y * w | T(x * L(x \ 1,z,u),y) = w. [para(2801(a,2),167(a,2)),flip(a)]. given #3121 (H,wt=28): 2842 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(2841(a,2),495(a,1))]. given #3122 (H,wt=28): 2852 x * R(x \ T(y,x),z,u) != w * v5 | T(x * R(x \ y,z,u),x) / v5 = w. [para(2850(a,1),276(a,1,2))]. given #3123 (H,wt=28): 2853 x * R(x \ T(y,x),z,u) != w * v5 | w \ T(x * R(x \ y,z,u),x) = v5. [para(2850(a,1),392(a,1,2))]. given #3124 (H,wt=28): 2855 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(2830(a,2),167(a,2)),flip(a)]. given #3125 (H,wt=28): 3091 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(3084(a,1),174(a,1,1,2))]. given #3126 (H,wt=28): 3112 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(3087(a,2),491(a,1,2))]. given #3127 (H,wt=28): 3115 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(3099(a,2),491(a,1,2))]. given #3128 (H,wt=28): 3259 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(109(a,1),3258(a,2,1,1,2))]. given #3129 (H,wt=28): 3293 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2732(a,1),2665(a,1,1))]. given #3130 (H,wt=29): 323 (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = ((1 / (x * (y \ 1))) \ z) * 1. [para(261(a,1),47(a,1,2)),flip(a)]. given #3131 (H,wt=25): 3300 (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = ((y / x) \ z) * 1. [para(263(a,1),323(a,2,1,1))]. given #3132 (H,wt=23): 3301 (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = (y / x) \ z. [hyper(227,a,12,a(flip),b,3300,a)]. given #3133 (H,wt=29): 993 (((1 / x) * y) \ (((1 / x) * y) \ 1)) \ z = (T(y / x,y) * ((1 / x) * y)) * z. [para(643(a,2),992(a,2,1))]. given #3134 (H,wt=25): 3302 (T(x / y,x) * ((1 / y) * x)) * z = (((1 / y) * x) \ (x \ y)) \ z. [para(250(a,1),993(a,1,1,2)),flip(a)]. given #3135 (H,wt=23): 3303 (T(x / y,x) * ((1 / y) * x)) * z = (((x / y) * x) \ y) \ z. [para(2249(a,1),3302(a,2,1))]. given #3136 (H,wt=21): 3304 T(x / y,x) * ((1 / y) * x) = (1 / y) * ((x / y) * x). [hyper(18,a,706,a,b,3303,a)]. given #3137 (H,wt=25): 3305 (T(x / y,x) * ((1 / y) * x)) * z = ((x \ y) \ 1) * ((x \ y) \ z). [para(3304(a,2),2570(a,1,1))]. given #3138 (H,wt=28): 3306 ((x \ y) \ 1) * ((x \ y) \ z) != u * z | T(x / y,x) * ((1 / y) * x) = u. [para(3305(a,1),20(a,1))]. given #3139 (H,wt=29): 1022 L(a(x,y,z),x * (y * z),x * (y * z)) = (1 / (x * (y * z))) * ((x * y) * z). [para(24(a,2),1020(a,1,1))]. given #3140 (H,wt=29): 1039 T(x / y,x) \ ((((1 / y) * x) * ((1 / y) * x)) * z) = (1 / ((1 / y) * x)) \ z. [hyper(72,a,1017,a(flip),b,643,a)]. given #3141 (H,wt=27): 3308 T(x / y,x) \ (((x \ y) \ ((1 / y) * x)) * z) = (1 / ((1 / y) * x)) \ z. [para(706(a,1),1039(a,1,2,1))]. given #3142 (H,wt=27): 3309 T(x / y,x) \ (((x \ y) \ ((1 / y) * x)) * z) = (((x \ y) \ 1) \ 1) \ z. [para(1064(a,1),3308(a,2,1))]. given #3143 (H,wt=27): 3310 T(x / y,x) \ (((x \ y) \ 1) * ((x \ y) \ z)) = (((x \ y) \ 1) \ 1) \ z. [para(2385(a,1),3309(a,1,2))]. given #3144 (H,wt=29): 1159 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. [para(244(a,1),474(a,1,2))]. given #3145 (H,wt=17): 3311 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(1159,a,742,a)]. given #3146 (H,wt=29): 1449 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1442(a,1),604(a,1,1))]. given #3147 (H,wt=29): 1538 ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = T(y,x \ 1) * (((1 / x) \ y) / x). [para(1535(a,1),926(a,1,1)),flip(a)]. given #3148 (H,wt=27): 3312 ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = T(y,x \ 1) * T(y,x \ 1). [para(1535(a,1),1538(a,2,2))]. given #3149 (H,wt=29): 1617 (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((x / y) \ (((x / y) / z) * 1)) \ 1. [para(1079(a,2),1592(a,2,2,1)),flip(a)]. given #3150 (H,wt=27): 3313 (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((x / y) \ ((x / y) / z)) \ 1. [para(12(a,1),1617(a,2,1,2))]. given #3151 (H,wt=29): 1639 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(381(a,2),471(a,1,2))]. given #3152 (H,wt=27): 3314 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(113(a,1),1639(a,1,2,1,1)),flip(a)]. given #3153 (H,wt=23): 3315 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(166,a,2830,a(flip),b,3314,a),flip(a)]. given #3154 (H,wt=29): 1790 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1262(a,1),1760(a,1,2,1,2))]. given #3155 (H,wt=19): 3317 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1790(a,1,2,1)),flip(a)]. given #3156 (H,wt=25): 3318 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(115(a,1),3317(a,1,1)),flip(a)]. given #3157 (H,wt=23): 3319 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(115(a,1),3318(a,1,2)),flip(a)]. given #3158 (H,wt=27): 3320 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),3319(a,1,1)),flip(a)]. given #3159 (H,wt=23): 3321 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),3320(a,1,2)),flip(a)]. given #3160 (H,wt=29): 1871 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,z)) = T(K(y,z),((x * y) \ x) \ 1). [para(1870(a,1),1245(a,2,1))]. given #3161 (H,wt=29): 1874 ((x \ 1) \ y) * ((z \ 1) * ((x \ 1) \ 1)) = ((x \ 1) \ 1) * ((x \ (z / y)) \ 1). [para(752(a,1),138(a,1,2)),flip(a)]. given #3162 (H,wt=25): 3322 ((x \ 1) \ 1) * ((x \ (y / z)) \ 1) = ((x \ 1) \ z) * ((x \ y) \ 1). [para(257(a,1),1874(a,1,2)),flip(a)]. given #3163 (H,wt=29): 1878 (x \ 1) \ ((y * (z * (u \ 1))) / (x \ 1)) = ((x \ 1) \ y) * ((x \ (u / z)) \ 1). [para(752(a,1),1873(a,1,2)),flip(a)]. given #3164 (H,wt=29): 1912 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(72,a,1910,a(flip),b,329,a),flip(a)]. given #3165 (H,wt=29): 2011 (((1 / x) * y) * z) / (((y \ x) \ 1) \ 1) = ((1 / x) * y) * (z * ((1 / x) * y)). [para(1064(a,1),2005(a,1,2))]. given #3166 (H,wt=29): 2170 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(2167(a,1),495(a,2,2))]. given #3167 (H,wt=29): 2290 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(2204(a,2),114(a,1,2))]. given #3168 (H,wt=15): 3325 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(227,a,3147,a(flip),b,2290,a(flip))]. given #3169 (H,wt=15): 3327 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3325(a,1),14(a,1,2))]. given #3170 (H,wt=29): 2381 ((x * (y / (z \ 1))) * (z \ 1)) / (z \ 1) = (z * (((1 / (z \ 1)) \ x) * y)) * z. [para(121(a,1),2379(a,1,1,2)),flip(a)]. given #3171 (H,wt=25): 3329 ((x * (y / (z \ 1))) * (z \ 1)) / (z \ 1) = (z * ((z \ x) * y)) * z. [para(62(a,1),2381(a,2,1,2,1,1))]. given #3172 (H,wt=17): 3330 (x * ((x \ y) * z)) * x = y * (z / (x \ 1)). [hyper(293,a,3329,a)]. given #3173 (H,wt=17): 3332 (x * y) * (z / (x \ 1)) = (x * (y * z)) * x. [para(13(a,1),3330(a,1,1,2,1)),flip(a)]. given #3174 (H,wt=17): 3333 (x * (y * (z \ 1))) * x = (x * y) * (z \ x). [para(253(a,1),3332(a,1,2)),flip(a)]. given #3175 (H,wt=15): 3336 (x * y) * (z \ x) = x * ((z / y) \ x). [hyper(227,a,1268,a(flip),b,3333,a(flip))]. given #3176 (H,wt=17): 3334 (x * y) * ((1 / z) \ x) = (x * (y * z)) * x. [para(317(a,1),3332(a,1,2))]. given #3177 (H,wt=17): 3335 (x * (y * (x \ z))) * x = (x * y) * T(z,x). [para(1229(a,2),3332(a,1,2)),flip(a)]. given #3178 (H,wt=13): 3339 (x * x) * T(y,x) = (x * y) * x. [para(14(a,1),3335(a,1,1,2)),flip(a)]. given #3179 (H,wt=15): 3341 (x * (y / x)) * x = (x * x) * (x \ y). [para(115(a,1),3339(a,1,2)),flip(a)]. given #3180 (H,wt=13): 3343 (x * x) * (x \ y) = (x \ 1) \ y. [hyper(1990,a,3341,a),flip(a)]. given #3181 (H,wt=13): 3351 x \ ((x \ 1) * y) = (x * x) \ y. [hyper(72,a,13,a(flip),b,3343,a),flip(a)]. given #3182 (H,wt=13): 3354 x * ((x * x) \ y) = (x \ 1) * y. [para(3351(a,1),14(a,1,2))]. given #3183 (H,wt=15): 3346 (x * x) * (x \ T(y,x)) = y / (1 / x). [hyper(227,a,1423,a(flip),b,3343,a)]. given #3184 (H,wt=15): 3352 (1 / x) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(72,a,3343,a(flip),b,1017,a),flip(a)]. given #3185 (H,wt=15): 3356 x * (1 / ((y \ x) * x)) = (x \ 1) * y. [para(1006(a,2),3354(a,1,2))]. given #3186 (H,wt=15): 3357 x * ((1 / x) * (x \ y)) = (x \ 1) * y. [para(1007(a,2),3354(a,1,2))]. given #3187 (H,wt=15): 3358 (x \ 1) * (x / y) = x * (1 / (y * x)). [para(1009(a,1),3354(a,1,2)),flip(a)]. given #3188 (H,wt=15): 3359 (x \ 1) * (x * y) = x * ((1 / x) * y). [para(1014(a,1),3354(a,1,2)),flip(a)]. given #3189 (H,wt=15): 3361 x \ ((x \ 1) \ y) = x * ((1 / x) * y). [hyper(227,a,1374,a(flip),b,3352,a(flip))]. given #3190 (H,wt=15): 3366 (x \ 1) * (x * y) = (y * x) * (1 / x). [hyper(227,a,2043,a,b,3359,a)]. given #3191 (H,wt=15): 3372 x \ ((x \ 1) \ y) = (y * x) * (1 / x). [hyper(227,a,2043,a,b,3361,a)]. given #3192 (H,wt=15): 3373 x * (x * ((1 / x) * y)) = (x \ 1) \ y. [para(3361(a,1),14(a,1,2))]. given #3193 (H,wt=15): 3376 x \ ((x \ 1) \ (y / x)) = y * (1 / x). [hyper(227,a,87,a(flip),b,3372,a)]. given #3194 (H,wt=15): 3377 (x \ 1) \ ((1 / x) \ y) = x * (x * y). [para(14(a,1),3373(a,1,2,2)),flip(a)]. given #3195 (H,wt=15): 3379 (x \ 1) \ (y / x) = x * (y * (1 / x)). [para(3376(a,1),14(a,1,2)),flip(a)]. given #3196 (H,wt=16): 3345 (x * x) * (x \ y) != z | (x \ 1) \ y = z. [para(3341(a,1),1990(a,1))]. given #3197 (H,wt=17): 3350 (x * x) \ ((y \ 1) \ 1) = x \ ((y \ x) \ 1). [hyper(72,a,260,a(flip),b,3343,a)]. given #3198 (H,wt=17): 3353 ((x / y) * (x / y)) * y = ((x / y) \ 1) \ x. [para(65(a,1),3343(a,1,2))]. given #3199 (H,wt=17): 3375 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [hyper(227,a,1395,a,b,3366,a(flip)),flip(a)]. given #3200 (H,wt=17): 3378 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(2921(a,1),3373(a,1,2,2))]. given #3201 (H,wt=17): 3381 ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). [hyper(227,a,2013,a,b,3379,a(flip)),flip(a)]. given #3202 (H,wt=17): 3382 (x * (y * (1 / x))) / x = x * ((y / x) / x). [hyper(73,a,3379,a(flip),b,1986,a)]. given #3203 (H,wt=15): 3394 (x * (1 / y)) * (y \ 1) = (x / y) / y. [hyper(1293,a,3382,a)]. given #3204 (H,wt=17): 3387 (x * (y \ (x / y))) * y = ((x / y) \ 1) \ x. [para(926(a,1),3353(a,1,1))]. given #3205 (H,wt=17): 3388 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(14(a,1),3375(a,1,1,1)),flip(a)]. given #3206 (H,wt=17): 3397 (x * (y \ (x / y))) * y = (y * (x \ 1)) \ x. [para(125(a,1),3387(a,2,1))]. given #3207 (H,wt=15): 3399 (x * (y \ x)) / y = x * (y \ (x / y)). [hyper(73,a,780,a(flip),b,3397,a)]. given #3208 (H,wt=19): 3342 (x * (y * (1 / x))) * x = (x * x) * ((x \ 1) * y). [para(1395(a,1),3339(a,1,2)),flip(a)]. given #3209 (H,wt=19): 3344 (x * ((1 / x) * y)) * x = (x * x) * (x \ T(y,x)). [para(631(a,1),3341(a,1,1,2))]. given #3210 (H,wt=15): 3401 (x * ((1 / x) * y)) * x = y / (1 / x). [hyper(227,a,3346,a(flip),b,3344,a)]. given #3211 (H,wt=15): 3402 (x \ y) / (1 / x) = ((x \ 1) * y) * x. [para(3357(a,1),3401(a,1,1)),flip(a)]. given #3212 (H,wt=15): 3403 ((x \ 1) * (x * y)) * x = y / (1 / x). [para(3359(a,2),3401(a,1,1))]. given #3213 (H,wt=19): 3349 (x * x) \ T(x * y,x \ 1) = x \ T(y,x \ 1). [hyper(72,a,685,a(flip),b,3343,a)]. given #3214 (H,wt=19): 3365 (1 / x) * ((1 / (1 / x)) * y) = x * ((1 / x) * y). [hyper(615,a,3359,a),flip(a)]. given #3215 (H,wt=19): 3371 (x * ((1 / x) * y)) \ (x \ 1) = (x * (x * y)) \ x. [para(3359(a,1),1453(a,1,1))]. given #3216 (H,wt=19): 3380 ((x \ 1) \ 1) \ (x \ y) = (x \ 1) * ((x \ 1) * y). [para(62(a,1),3377(a,1,2,1))]. given #3217 (H,wt=19): 3392 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [hyper(2033,a,3381,a)]. given #3218 (H,wt=19): 3405 (1 / x) * (1 / (y / x)) = x * ((1 / x) * (1 / y)). [para(351(a,1),3365(a,1,2))]. given #3219 (H,wt=19): 3406 1 / (((x \ y) \ 1) * x) = (x \ 1) * ((x \ 1) * y). [hyper(1690,a,3380,a)]. given #3220 (H,wt=20): 3337 (x * y) * (z \ x) != u * x | x * (y * (z \ 1)) = u. [para(3333(a,1),20(a,1))]. given #3221 (H,wt=20): 3338 (x * y) * ((1 / z) \ x) != u * x | x * (y * z) = u. [para(3334(a,2),20(a,1))]. given #3222 (H,wt=20): 3389 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(3375(a,2),20(a,1))]. given #3223 (H,wt=20): 3391 (x \ 1) \ K(y,x) != x * z | x * (K(y,x) / x) = z. [para(3378(a,1),19(a,1))]. given #3224 (H,wt=20): 3398 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(3388(a,1),20(a,1))]. given #3225 (H,wt=21): 3347 (((x \ y) \ 1) * y) / ((y \ x) \ y) = (y \ x) * (y \ x). [hyper(73,a,1406,a(flip),b,3343,a)]. given #3226 (H,wt=21): 3355 (x * y) * (((x * y) * (x * y)) \ z) = (y \ (x \ 1)) * z. [para(123(a,1),3354(a,2,1))]. given #3227 (H,wt=21): 3393 ((x \ 1) \ y) * (x \ (1 / x)) = (x * (y * (1 / x))) / x. [hyper(73,a,3381,a(flip),b,2356,a),flip(a)]. given #3228 (H,wt=21): 3408 (((x \ y) \ 1) * y) / ((x \ y) * y) = (y \ x) * (y \ x). [para(961(a,1),3347(a,1,2))]. given #3229 (H,wt=21): 3409 (x * y) * ((x * (y * (x * y))) \ z) = (y \ (x \ 1)) * z. [para(940(a,1),3355(a,1,2,1))]. given #3230 (H,wt=22): 3384 1 / (x * (y * (1 / x))) != z | (1 / (y / x)) * (x \ 1) = z. [para(3379(a,1),316(a,1,2))]. given #3231 (H,wt=22): 3407 ((x \ 1) \ 1) * (y * (x \ 1)) != x * z | y * (1 / x) = z. [para(3392(a,2),19(a,1))]. given #3232 (H,wt=23): 3348 (x * x) \ ((y * (x \ y)) \ (y * (x \ 1))) = x \ ((x \ 1) / y). [hyper(72,a,1269,a,b,3343,a)]. given #3233 (H,wt=17): 3411 (x * x) \ (x \ (x / y)) = x \ ((x \ 1) / y). [para(2185(a,1),3348(a,1,2))]. given #3234 (H,wt=17): 3412 (x * x) \ (x \ (x / y)) = x \ (x \ (1 / y)). [para(318(a,1),3411(a,2,2))]. given #3235 (H,wt=15): 3413 1 / ((x * y) * y) = y \ (y \ (1 / x)). [hyper(227,a,1015,a(flip),b,3412,a(flip)),flip(a)]. given #3236 (H,wt=15): 3414 x * (1 / ((y * x) * x)) = x \ (1 / y). [para(3413(a,2),14(a,1,2))]. given #3237 (H,wt=15): 3415 x \ (1 / (y / x)) = x * (1 / (y * x)). [para(16(a,1),3414(a,1,2,2,1)),flip(a)]. given #3238 (H,wt=15): 3416 x * (x * (1 / (y * x))) = 1 / (y / x). [para(3415(a,1),14(a,1,2))]. given #3239 (H,wt=19): 3417 (1 / x) * (1 / (y * (1 / x))) = x * (1 / (y * x)). [hyper(17,a,1141,a,b,3416,a)]. given #3240 (H,wt=19): 3421 (1 / x) * ((x \ 1) \ (1 / y)) = x * (1 / (y * x)). [para(1120(a,1),3417(a,1,2))]. given #3241 (H,wt=21): 3418 x * (x * (1 / (1 / T(y,x)))) = 1 / ((1 / (y * x)) / x). [para(336(a,1),3416(a,1,2,2,2))]. given #3242 (H,wt=21): 3424 x * (x * ((T(y,x) \ 1) \ 1)) = 1 / ((1 / (y * x)) / x). [para(1058(a,1),3418(a,1,2,2))]. given #3243 (H,wt=19): 3425 1 / ((1 / (x * y)) / y) = y * (((x \ 1) \ 1) * y). [para(1575(a,1),3424(a,1,2)),flip(a)]. given #3244 (H,wt=17): 3426 1 / ((1 / (x * y)) / y) = (y / (1 / x)) * y. [hyper(227,a,1077,a(flip),b,3425,a)]. given #3245 (H,wt=21): 3427 (x \ 1) * ((y / (1 / z)) * y) = ((y * (z * y)) \ x) \ 1. [para(3426(a,1),1728(a,1,2))]. given #3246 (H,wt=17): 3428 ((x * y) \ (y \ 1)) \ 1 = (y / (1 / x)) * y. [hyper(17,a,751,a,b,3427,a),flip(a)]. given #3247 (H,wt=21): 3429 ((1 / x) / (1 / y)) * (1 / x) = ((y * (1 / x)) \ x) \ 1. [hyper(17,a,754,a(flip),b,3427,a)]. given #3248 (H,wt=21): 3430 ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = (y \ 1) / (1 / x). [hyper(255,a,3428,a)]. given #3249 (H,wt=21): 3432 ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = y \ (1 / (1 / x)). [hyper(227,a,318,a(flip),b,3430,a)]. given #3250 (H,wt=21): 3433 ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = y \ ((x \ 1) \ 1). [para(1058(a,1),3432(a,2,2))]. given #3251 (H,wt=17): 3434 ((x \ (y / x)) \ 1) \ x = x \ ((y \ 1) \ 1). [para(1425(a,1),3433(a,1,1))]. given #3252 (H,wt=17): 3435 (((x / y) \ y) \ 1) * y = y \ ((x \ 1) \ 1). [hyper(227,a,1406,a(flip),b,3434,a(flip)),flip(a)]. given #3253 (H,wt=15): 3436 ((x / y) \ y) \ 1 = y \ (1 / (y / x)). [hyper(18,a,2017,a,b,3435,a)]. given #3254 (H,wt=23): 3362 (x \ (y \ 1)) * ((y * x) / z) = (y * x) * (1 / (z * (y * x))). [para(123(a,1),3358(a,1,1))]. given #3255 (H,wt=23): 3363 (x * (y \ 1)) * ((y / x) / z) = (y / x) * (1 / (z * (y / x))). [para(125(a,1),3358(a,1,1))]. given #3256 (H,wt=23): 3367 (x \ (y \ 1)) * ((y * x) * z) = (y * x) * ((1 / (y * x)) * z). [para(123(a,1),3359(a,1,1))]. given #3257 (H,wt=23): 3368 (x * (y \ 1)) * ((y / x) * z) = (y / x) * ((1 / (y / x)) * z). [para(125(a,1),3359(a,1,1))]. given #3258 (H,wt=23): 3374 (x * y) \ ((y \ (x \ 1)) \ z) = (x * y) * ((1 / (x * y)) * z). [para(123(a,1),3361(a,1,2,1))]. given #3259 (H,wt=23): 3383 (x * (y \ 1)) \ (z / (y / x)) = (y / x) * (z * (1 / (y / x))). [para(125(a,1),3379(a,1,1))]. given #3260 (H,wt=24): 3404 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(227,a,3293,a(flip),b,3403,a(flip)),flip(a)]. given #3261 (H,wt=22): 3441 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(227,a,3239,a(flip),b,3404,a)]. given #3262 (H,wt=21): 3442 (x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x. [hyper(227,a,376,a(flip),b,3441,a)]. given #3263 (H,wt=13): 3443 K((x * y) \ x,y) = K(y \ 1,y). [hyper(238,a,3442,a)]. given #3264 (H,wt=13): 3445 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),3443(a,1,1,1))]. given #3265 (H,wt=13): 3448 K(x / (y * x),y) = K(y \ 1,y). [para(968(a,1),3443(a,1,1))]. given #3266 (H,wt=17): 3444 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(14(a,1),3443(a,1,1,1)),flip(a)]. given #3267 (H,wt=11): 3452 T(x,K(y \ z,z \ y)) = x. [para(3444(a,1),3098(a,1,2))]. given #3268 (H,wt=17): 3447 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(963(a,1),3443(a,1,1)),flip(a)]. given #3269 (H,wt=17): 3451 K(1 / (x \ y),x \ y) = K(y \ x,x \ y). [hyper(227,a,2284,a,b,3444,a(flip)),flip(a)]. given #3270 (H,wt=17): 3457 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(313(a,1),3451(a,1,1))]. given #3271 (H,wt=19): 3446 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),3443(a,1,1,1)),flip(a)]. given #3272 (H,wt=15): 3459 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(227,a,3197,a(flip),b,3446,a(flip))]. given #3273 (H,wt=17): 3461 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(32(a,1),3459(a,1,2))]. given #3274 (H,wt=19): 3453 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(3444(a,1),3256(a,1,2))]. given #3275 (H,wt=19): 3454 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(3389,a,3452,a),flip(a)]. given #3276 (H,wt=21): 3450 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(227,a,767,a(flip),b,3444,a)]. given #3277 (H,wt=21): 3455 (1 / x) * K(y \ z,z \ y) = K(y \ z,z \ y) / x. [hyper(654,a,3452,a)]. given #3278 (H,wt=21): 3456 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),3447(a,2,1))]. given #3279 (H,wt=21): 3458 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(62(a,1),3457(a,1,1,1)),flip(a)]. given #3280 (H,wt=21): 3462 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3461(a,1),3453(a,1,2)),flip(a)]. given #3281 (H,wt=21): 3463 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(3450(a,1),2426(a,1,2))]. given #3282 (H,wt=25): 3340 T((1 / x) / x,1 / x) * T(y,1 / x) = ((1 / x) * y) * (1 / x). [hyper(227,a,643,a,b,3339,a(flip)),flip(a)]. given #3283 (H,wt=21): 3464 T((1 / x) / x,1 / x) * T(y,1 / x) = (x \ y) / x. [hyper(227,a,1326,a(flip),b,3340,a)]. given #3284 (H,wt=21): 3465 T(x \ (x \ 1),1 / x) * T(y,1 / x) = (x \ y) / x. [para(988(a,1),3464(a,1,1,1))]. given #3285 (H,wt=21): 3466 T(x \ (x \ 1),x \ 1) * T(y,1 / x) = (x \ y) / x. [para(1539(a,1),3465(a,1,1))]. given #3286 (H,wt=19): 3467 (x \ T(x \ 1,x)) * T(y,1 / x) = (x \ y) / x. [para(771(a,1),3466(a,1,1))]. given #3287 (H,wt=17): 3468 (x \ (1 / x)) * T(y,1 / x) = (x \ y) / x. [para(798(a,1),3467(a,1,1,2))]. given #3288 (H,wt=17): 3469 (x \ (1 / x)) * T(y,x \ 1) = (x \ y) / x. [para(1539(a,1),3468(a,1,2))]. given #3289 (H,wt=17): 3470 (x \ 1) * (x \ T(y,x \ 1)) = (x \ y) / x. [hyper(227,a,2384,a(flip),b,3469,a(flip)),flip(a)]. given #3290 (H,wt=25): 3385 (x \ 1) \ (((y / x) / (x \ 1)) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. [para(3379(a,1),660(a,2,1))]. given #3291 (H,wt=25): 3386 (x \ 1) \ ((y / ((1 / x) * (1 / x))) / x) = x * (y * (1 / (1 / x))). [para(2024(a,1),3379(a,2,2))]. given #3292 (H,wt=25): 3390 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(72,a,3378,a(flip),b,1926,a),flip(a)]. given #3293 (H,wt=25): 3431 ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = ((1 / (x / y)) \ x) \ 1. [para(1079(a,1),3429(a,2,1,1))]. given #3294 (H,wt=23): 3474 ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = (x / (x \ y)) \ 1. [para(796(a,1),3431(a,2,1))]. given #3295 (H,wt=23): 3475 ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = (x \ y) * (x \ 1). [hyper(227,a,125,a(flip),b,3474,a)]. given #3296 (H,wt=21): 3476 ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = x \ (y / x). [hyper(227,a,1257,a(flip),b,3475,a)]. given #3297 (H,wt=17): 3477 ((1 / x) / (y \ 1)) * (1 / x) = x \ (y / x). [para(62(a,1),3476(a,1,1,2))]. given #3298 (H,wt=17): 3479 ((1 / (1 / x)) \ y) * (1 / x) = x \ (y / x). [para(317(a,1),3477(a,1,1))]. given #3299 (H,wt=15): 3480 (1 / x) * (y * (1 / x)) = x \ (y / x). [hyper(674,a,3479,a)]. given #3300 (H,wt=17): 3481 (((x \ 1) \ 1) \ y) * (1 / x) = x \ (y / x). [para(1058(a,1),3479(a,1,1,1))]. given #3301 (H,wt=25): 3471 (x \ 1) \ (((1 / (y / x)) \ x) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. [para(317(a,1),3385(a,1,2,1))]. given #3302 (H,wt=25): 3472 (x \ 1) \ ((y / (1 * (x \ (1 / x)))) / x) = x * (y * (1 / (1 / x))). [para(926(a,1),3386(a,1,2,1,2))]. given #3303 (H,wt=23): 3483 (x \ 1) \ ((y / (x \ (1 / x))) / x) = x * (y * (1 / (1 / x))). [para(11(a,1),3472(a,1,2,1,2))]. given #3304 (H,wt=23): 3484 (x \ 1) \ ((y * ((1 / x) \ x)) / x) = x * (y * (1 / (1 / x))). [para(1741(a,1),3483(a,1,2,1))]. given #3305 (H,wt=19): 3485 (x \ 1) \ (y / (1 / x)) = x * (y * (1 / (1 / x))). [para(2434(a,1),3484(a,1,2))]. given #3306 (H,wt=19): 3486 ((x \ 1) \ 1) * (y * x) = x * (y * (1 / (1 / x))). [hyper(227,a,1754,a(flip),b,3485,a(flip)),flip(a)]. given #3307 (H,wt=19): 3487 ((x \ 1) \ 1) * (y * x) = x * (y * ((x \ 1) \ 1)). [para(1058(a,1),3486(a,2,2,2))]. given #3308 (H,wt=17): 3488 ((x \ 1) \ 1) * (y * x) = ((x \ 1) \ y) * x. [hyper(227,a,1517,a(flip),b,3487,a)]. given #3309 (H,wt=25): 3473 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1927(a,1),3390(a,1,2))]. given #3310 (H,wt=25): 3482 (x \ 1) \ ((x * ((1 / x) * y)) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. [para(1536(a,1),3471(a,1,2,1))]. given #3311 (H,wt=21): 3489 (x \ 1) \ ((x * (x * y)) \ x) = (x * (y * (1 / x))) \ 1. [para(3371(a,1),3482(a,1,2))]. given #3312 (H,wt=27): 3360 (x \ (y \ 1)) * (((y * x) \ (1 / (y * x))) \ z) = ((x \ (y \ 1)) \ 1) * z. [para(2103(a,1),3354(a,1,2,1))]. given #3313 (H,wt=27): 3370 ((x * y) / ((x \ 1) * z)) * (x * ((1 / x) * y)) = ((x * y) / z) * (x * y). [para(3359(a,1),1176(a,1,2))]. given #3314 (H,wt=27): 3419 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = (1 / (z / (1 / y))) / x. [para(3416(a,1),328(a,1,1)),flip(a)]. given #3315 (H,wt=27): 3422 (((1 / (x * (1 / y))) \ y) \ 1) \ (1 / z) = 1 / (z * (y * (1 / (x * y)))). [para(3417(a,1),1138(a,1,2,2)),flip(a)]. given #3316 (H,wt=27): 3423 (1 / x) * ((x \ 1) \ ((y * y) \ (1 / z))) = x * (1 / ((z * (y * y)) * x)). [para(1010(a,1),3421(a,1,2,2))]. given #3317 (H,wt=27): 3490 (x \ (y \ 1)) * ((y * x) * (((y * x) \ 1) \ z)) = ((x \ (y \ 1)) \ 1) * z. [para(1511(a,1),3360(a,1,2))]. given #3318 (H,wt=27): 3492 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = ((y \ 1) * (1 / z)) / x. [para(1129(a,1),3419(a,2,1))]. given #3319 (H,wt=27): 3494 (x \ (y \ 1)) * ((y * x) * ((x \ (y \ 1)) \ z)) = ((x \ (y \ 1)) \ 1) * z. [para(123(a,1),3490(a,1,2,2,1))]. given #3320 (H,wt=27): 3495 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = ((z \ 1) \ y) \ (1 / x). [hyper(227,a,1122,a(flip),b,3492,a)]. given #3321 (H,wt=23): 3498 1 / (x * ((y * (1 / (z * y))) \ y)) = ((z \ 1) \ y) \ (1 / x). [para(3417(a,1),3495(a,1,2,2,1))]. given #3322 (H,wt=19): 3499 1 / (x * (y / (1 / z))) = ((y \ 1) \ z) \ (1 / x). [para(1133(a,1),3498(a,1,2,2))]. given #3323 (H,wt=27): 3496 (x * y) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (x * y)) * ((y \ (x \ 1)) \ z). [hyper(72,a,3494,a(flip),b,3367,a(flip))]. given #3324 (H,wt=29): 2412 (1 / x) * ((y * (1 / x)) \ T(z * z,1)) = (y \ (((z * z) \ 1) \ (1 / x))) * x. [para(1338(a,1),1800(a,1,2,2))]. given #3325 (H,wt=27): 3500 (x \ (((y * y) \ 1) \ (1 / z))) * z = (1 / z) * ((x * (1 / z)) \ (y * y)). [para(144(a,1),2412(a,1,2,2)),flip(a)]. given #3326 (H,wt=27): 3501 (x \ (((y * y) \ 1) \ (1 / z))) * z = (1 / z) * (((x * (1 / z)) \ y) * y). [para(939(a,1),3500(a,2,2))]. given #3327 (H,wt=27): 3502 (x \ ((y \ (y \ 1)) \ (1 / z))) * z = (1 / z) * (((x * (1 / z)) \ y) * y). [para(123(a,1),3501(a,1,1,2,1))]. given #3328 (H,wt=25): 3503 (1 / x) * (((y * (1 / x)) \ z) * z) = (y \ ((z * z) * (1 / x))) * x. [para(992(a,1),3502(a,1,1,2)),flip(a)]. given #3329 (H,wt=23): 3504 (1 / x) * (((y * (1 / x)) \ z) * z) = (y \ (z * (z / x))) * x. [para(1040(a,1),3503(a,2,1,2))]. given #3330 (H,wt=29): 2628 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(114(a,1),2627(a,1,1,2,2)),flip(a)]. given #3331 (H,wt=29): 2641 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),2606(a,1,1))]. given #3332 (H,wt=27): 3505 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),2641(a,1,2,1,1)),flip(a)]. given #3333 (H,wt=27): 3506 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(1637(a,1),3505(a,1,2))]. given #3334 (H,wt=25): 3507 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(2656,a,3506,a),flip(a)]. given #3335 (H,wt=25): 3508 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),3507(a,1,2,1,2)),flip(a)]. given #3336 (H,wt=23): 3509 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(161(a,1),3508(a,1,1,2,1,2)),flip(a)]. given #3337 (H,wt=29): 2671 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(486(a,1),1638(a,1,2,1))]. given #3338 (H,wt=23): 3510 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(166,a,2776,a(flip),b,2671,a(flip)),flip(a)]. given #3339 (H,wt=27): 3511 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),2671(a,1,2,1,2)),flip(a)]. given #3340 (H,wt=23): 3512 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(166,a,2801,a(flip),b,3511,a),flip(a)]. given #3341 (H,wt=23): 3513 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(78,a,3512,a)]. given #3342 (H,wt=24): 3514 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(227,a,377,a(flip),b,3512,a(flip))]. given #3343 (H,wt=26): 3515 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(3512(a,1),19(a,1))]. given #3344 (H,wt=28): 3516 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(375(a,1),3513(a,1,2,1,2))]. given #3345 (H,wt=29): 2790 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = ((z \ (x \ y)) \ ((1 / y) * x)) \ 1. [para(2773(a,1),123(a,1,1)),flip(a)]. given #3346 (H,wt=29): 2829 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(72,a,2777,a(flip),b,2323,a),flip(a)]. given #3347 (H,wt=29): 2860 L(x,y,z) \ (1 / (z * y)) != u * (1 / (z * y)) | (z * (y * x)) \ (z * y) = u. [para(1104(a,1),20(a,1))]. given #3348 (H,wt=29): 2874 1 / (((((x / y) * ((1 / y) \ z)) \ u) * (1 / u)) * u) = u \ (y \ ((y * x) * z)). [para(1379(a,2),2754(a,1,2))]. given #3349 (H,wt=29): 2896 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(227,a,2778,a(flip),b,2329,a(flip))]. given #3350 (H,wt=27): 3519 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2778(a,1),2896(a,1,2)),flip(a)]. given #3351 (H,wt=29): 3213 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(13(a,1),3212(a,2,1,2,1))]. given #3352 (H,wt=27): 3521 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(1240(a,1),3213(a,1,2,1))]. given #3353 (H,wt=29): 3238 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(3232(a,1),2201(a,2,1,1,2)),flip(a)]. given #3354 (H,wt=17): 3522 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),3238(a,1,1,1))]. given #3355 (H,wt=15): 3523 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(73,a,3251,a(flip),b,3522,a),flip(a)]. given #3356 (H,wt=13): 3525 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(227,a,2253,a(flip),b,3523,a)]. given #3357 (H,wt=13): 3527 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),3525(a,1,2,1))]. given #3358 (H,wt=13): 3528 K(x,y / (x * y)) = K(x,x \ 1). [para(968(a,1),3525(a,1,2))]. given #3359 (H,wt=17): 3526 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),3525(a,1,2,1)),flip(a)]. given #3360 (H,wt=17): 3530 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(227,a,768,a,b,3527,a(flip)),flip(a)]. given #3361 (H,wt=17): 3531 K(x,y / (x * y)) = x \ T(x,z / (x * z)). [hyper(227,a,3244,a,b,3528,a)]. given #3362 (H,wt=16): 3535 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(3531(a,2),3248(a,1))]. given #3363 (H,wt=17): 3533 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(2260,a,3526,a)]. given #3364 (H,wt=19): 3529 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(3525(a,1),3463(a,1,2))]. given #3365 (H,wt=17): 3539 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(3250(a,1),3529(a,2,2))]. given #3366 (H,wt=17): 3540 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(3251(a,1),3529(a,2,2))]. given #3367 (H,wt=17): 3542 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(3090,a,3539,a)]. given #3368 (H,wt=17): 3543 (x * K(y,y \ 1)) / T(y,y \ 1) = x / y. [hyper(591,a,3539,a)]. given #3369 (H,wt=14): 3554 R(x,K(y,y \ 1),y) = (x / y) * y. [para(3543(a,1),2676(a,1,1)),flip(a)]. given #3370 (H,wt=10): 3555 R(x,K(y,y \ 1),y) = x. [hyper(227,a,16,a(flip),b,3554,a)]. given #3371 (H,wt=12): 3557 R(x,K(y \ 1,y),1 / y) = x. [para(2254(a,1),3555(a,1,2))]. given #3372 (H,wt=17): 3544 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(306,a,3539,a),flip(a)]. given #3373 (H,wt=17): 3545 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(227,a,3205,a,b,3539,a(flip)),flip(a)]. given #3374 (H,wt=17): 3546 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(72,a,3539,a(flip),b,3205,a)]. given #3375 (H,wt=10): 3560 L(x,K(x,x \ 1),y) = x. [hyper(2273,a,3546,a)]. given #3376 (H,wt=14): 3561 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(2254(a,1),3560(a,1,2))]. given #3377 (H,wt=17): 3551 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(306,a,3540,a),flip(a)]. given #3378 (H,wt=17): 3552 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(227,a,3205,a,b,3540,a(flip)),flip(a)]. given #3379 (H,wt=17): 3558 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(3557(a,1),1448(a,1,1)),flip(a)]. given #3380 (H,wt=17): 3559 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(3087(a,2),3545(a,1,1))]. given #3381 (H,wt=17): 3563 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(3087(a,2),3552(a,1,1))]. given #3382 (H,wt=17): 3564 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(85,a,3558,a)]. given #3383 (H,wt=17): 3565 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(73,a,16,a(flip),b,3558,a),flip(a)]. given #3384 (H,wt=17): 3566 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,2559,a(flip),b,3558,a)]. given #3385 (H,wt=12): 3570 R(x,1 / y,K(y \ 1,y)) = x. [hyper(2170,a,3566,a)]. given #3386 (H,wt=14): 3569 R(x,y \ 1,y) / y = x * (1 / y). [hyper(2666,a,3566,a)]. given #3387 (H,wt=13): 3573 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1822,a,3569,a),flip(a)]. given #3388 (H,wt=14): 3571 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(2257(a,1),3570(a,1,3))]. given #3389 (H,wt=14): 3572 R(x / (1 / y),y \ 1,y) = x * y. [hyper(2136,a,3569,a)]. given #3390 (H,wt=14): 3574 (x * (1 / y)) * y = R(x,y \ 1,y). [para(3569(a,1),16(a,1,1))]. given #3391 (H,wt=17): 3568 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(3108,a,3566,a)]. given #3392 (H,wt=17): 3576 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(3571(a,1),2282(a,1,1)),flip(a)]. given #3393 (H,wt=17): 3578 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(306,a,3576,a),flip(a)]. given #3394 (H,wt=17): 3579 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(227,a,2637,a(flip),b,3578,a(flip))]. given #3395 (H,wt=18): 3575 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(227,a,609,a(flip),b,3573,a(flip))]. given #3396 (H,wt=19): 3532 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(227,a,3456,a,b,3528,a(flip)),flip(a)]. given #3397 (H,wt=17): 3582 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3532(a,1),3246(a,1,1))]. given #3398 (H,wt=10): 3588 L(x,y,K(y,y \ 1)) = x. [hyper(2272,a,3582,a(flip))]. given #3399 (H,wt=12): 3593 L(x,K(y \ 1,y),1 / y) = x. [hyper(227,a,2825,a(flip),b,3588,a(flip)),flip(a)]. given #3400 (H,wt=12): 3594 L(x,1 / y,K(1 / y,y)) = x. [para(65(a,1),3588(a,1,3,2))]. given #3401 (H,wt=12): 3595 L(x,1 / y,K(y \ 1,y)) = x. [para(2254(a,1),3588(a,1,3))]. given #3402 (H,wt=14): 3598 L(x,K(y,y \ 1),1 / (1 / y)) = x. [para(2257(a,1),3593(a,1,2))]. given #3403 (H,wt=14): 3600 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(2288(a,1),3594(a,1,3))]. given #3404 (H,wt=14): 3603 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3595(a,1),2861(a,1,1,2))]. given #3405 (H,wt=14): 3607 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),3603(a,1,1)),flip(a)]. given #3406 (H,wt=11): 3611 L(x,y,y \ 1) = L(x,y,y). [hyper(1144,a,3607,a),flip(a)]. given #3407 (H,wt=13): 3612 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(476,a,3607,a)]. given #3408 (H,wt=14): 3613 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(78,a,3607,a)]. given #3409 (H,wt=14): 3614 L(x,y,y \ 1) != z | L(x,y,y) = z. [para(3607(a,1),1144(a,1))]. given #3410 (H,wt=16): 3608 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),3603(a,1,1))]. given #3411 (H,wt=17): 3583 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(3093,a,3582,a)]. given #3412 (H,wt=17): 3584 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(588,a,3582,a)]. given #3413 (H,wt=17): 3585 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(308,a,3582,a),flip(a)]. given #3414 (H,wt=17): 3586 K(x,x \ 1) * (x * y) = T(y * x,x \ 1). [hyper(227,a,1437,a,b,3582,a)]. given #3415 (H,wt=17): 3587 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(227,a,244,a(flip),b,3582,a)]. given #3416 (H,wt=17): 3589 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(227,a,2818,a(flip),b,3582,a(flip)),flip(a)]. given #3417 (H,wt=17): 3597 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(72,a,3593,a(flip),b,2864,a),flip(a)]. given #3418 (H,wt=17): 3599 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3593(a,1),2169(a,1,2)),flip(a)]. given #3419 (H,wt=17): 3601 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(227,a,3210,a(flip),b,3595,a(flip)),flip(a)]. given #3420 (H,wt=17): 3602 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3595(a,1),1446(a,1,2)),flip(a)]. given #3421 (H,wt=17): 3604 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3598(a,1),2281(a,1,2)),flip(a)]. given #3422 (H,wt=17): 3605 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(227,a,2278,a(flip),b,3600,a(flip)),flip(a)]. given #3423 (H,wt=17): 3606 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3600(a,1),2277(a,1,2)),flip(a)]. given #3424 (H,wt=17): 3610 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [para(3603(a,1),603(a,1,2))]. given #3425 (H,wt=17): 3616 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(62(a,1),3612(a,1,3)),flip(a)]. given #3426 (H,wt=17): 3617 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(227,a,244,a(flip),b,3583,a)]. given #3427 (H,wt=17): 3619 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [para(3584(a,1),329(a,1,2))]. given #3428 (H,wt=17): 3620 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(1982,a,3585,a),flip(a)]. given #3429 (H,wt=17): 3621 x * (K(x,x \ 1) * y) = T(y * x,x \ 1). [hyper(227,a,2818,a(flip),b,3586,a(flip)),flip(a)]. given #3430 (H,wt=17): 3622 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(72,a,14,a(flip),b,3587,a),flip(a)]. given #3431 (H,wt=17): 3623 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(227,a,2818,a(flip),b,3587,a(flip)),flip(a)]. given #3432 (H,wt=17): 3625 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(17,a,3156,a(flip),b,3589,a)]. given #3433 (H,wt=17): 3627 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3597(a,1),14(a,1,2))]. given #3434 (H,wt=17): 3628 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [hyper(78,a,3599,a)]. given #3435 (H,wt=17): 3629 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(227,a,3113,a(flip),b,3599,a(flip)),flip(a)]. given #3436 (H,wt=17): 3632 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(3103,a,3601,a)]. given #3437 (H,wt=17): 3636 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(3103,a,3602,a)]. given #3438 (H,wt=17): 3641 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(72,a,14,a(flip),b,3604,a),flip(a)]. given #3439 (H,wt=17): 3643 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(3605(a,1),14(a,1,2))]. given #3440 (H,wt=17): 3645 K(x,x \ 1) * (1 / y) = x * ((1 / x) / y). [para(337(a,1),3606(a,1,2))]. given #3441 (H,wt=15): 3663 K(x,x \ 1) / y = x * ((1 / x) / y). [hyper(227,a,3121,a(flip),b,3645,a(flip)),flip(a)]. given #3442 (H,wt=15): 3664 K(x,x \ 1) / y = x * (1 / (y * x)). [para(325(a,1),3663(a,2,2))]. given #3443 (H,wt=17): 3649 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(114(a,1),3620(a,1,2,1))]. given #3444 (H,wt=17): 3650 (1 / (x * y)) \ (y \ 1) = K(y,y \ 1) * x. [hyper(17,a,808,a,b,3621,a),flip(a)]. given #3445 (H,wt=17): 3651 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(17,a,3392,a(flip),b,3623,a)]. given #3446 (H,wt=17): 3652 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [para(3087(a,1),3623(a,1,2))]. given #3447 (H,wt=17): 3659 K(x,x \ 1) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(227,a,1126,a(flip),b,3641,a)]. given #3448 (H,wt=17): 3661 x * (1 / ((y \ 1) * x)) = K(x,x \ 1) * y. [para(345(a,2),3643(a,1,2))]. given #3449 (H,wt=17): 3662 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) * y. [para(1058(a,1),3643(a,1,2,1))]. given #3450 (H,wt=17): 3665 (1 / x) * K(y,y \ 1) = y * (1 / (x * y)). [hyper(3094,a,3664,a)]. given #3451 (H,wt=17): 3669 (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. [hyper(3093,a,3649,a)]. given #3452 (H,wt=17): 3675 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(3093,a,3651,a)]. given #3453 (H,wt=17): 3676 K(x,x \ 1) * (y \ 1) = (y \ x) * (1 / x). [para(124(a,1),3651(a,1,2))]. given #3454 (H,wt=15): 3683 x \ K(y,y \ 1) = (x \ y) * (1 / y). [hyper(3096,a,3676,a)]. given #3455 (H,wt=17): 3678 ((x \ 1) \ 1) \ (x * y) = K(x,x \ 1) * y. [para(13(a,1),3659(a,1,2)),flip(a)]. given #3456 (H,wt=17): 3681 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(306,a,3675,a),flip(a)]. given #3457 (H,wt=17): 3684 ((1 / x) \ y) * (1 / y) = K(y,y \ 1) * x. [para(65(a,1),3676(a,1,2)),flip(a)]. given #3458 (H,wt=18): 3609 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3603(a,1),713(a,1,2))]. given #3459 (H,wt=18): 3689 (x \ y) * (1 / y) != z | x \ K(y,y \ 1) = z. [para(3676(a,1),3096(a,1))]. given #3460 (H,wt=19): 3537 (x \ y) * (1 / (x \ y)) = 1 * K(x \ y,y \ x). [hyper(227,a,11,a,b,3533,a)]. given #3461 (H,wt=19): 3562 ((1 / x) / y) * ((y \ 1) \ 1) = K(y,y \ 1) / x. [hyper(227,a,3086,a(flip),b,3551,a)]. given #3462 (H,wt=19): 3567 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(227,a,3542,a,b,3559,a)]. given #3463 (H,wt=19): 3618 (T(x,x \ 1) * y) / T(x,x \ 1) = (x * y) / x. [hyper(73,a,3583,a(flip),b,3544,a)]. given #3464 (H,wt=19): 3634 T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). [para(3601(a,1),2688(a,1,1,2))]. given #3465 (H,wt=19): 3638 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(636(a,1),3602(a,1,2))]. given #3466 (H,wt=19): 3653 ((x \ 1) \ 1) * (x * y) = x * (((x \ 1) \ 1) * y). [para(3587(a,1),3623(a,1,2)),flip(a)]. given #3467 (H,wt=19): 3656 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(3565(a,1),3629(a,1,2))]. given #3468 (H,wt=19): 3657 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(227,a,2951,a(flip),b,3632,a)]. given #3469 (H,wt=19): 3658 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(3632(a,1),3558(a,1,1))]. given #3470 (H,wt=19): 3660 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3641(a,1),3563(a,1,1))]. given #3471 (H,wt=19): 3666 x * (K(y,y \ 1) / z) = x * (y * (1 / (z * y))). [hyper(21,a,3664,a)]. given #3472 (H,wt=19): 3672 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3649(a,1),3563(a,1,1)),flip(a)]. given #3473 (H,wt=17): 3701 (1 / x) * (y * ((x \ 1) \ 1)) = (x \ y) * x. [hyper(227,a,2007,a(flip),b,3672,a(flip)),flip(a)]. given #3474 (H,wt=19): 3677 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [hyper(227,a,3617,a,b,3652,a),flip(a)]. given #3475 (H,wt=10): 3704 R(x,y,K(x,x \ 1)) = x. [hyper(495,a,3677,a)]. given #3476 (H,wt=14): 3705 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(3704(a,1),42(a,2,1))]. given #3477 (H,wt=13): 3706 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(227,a,3207,a(flip),b,3705,a(flip))]. given #3478 (H,wt=13): 3709 T(x,K(x,x \ 1) * y) = T(x,y). [para(3087(a,2),3706(a,1,2))]. given #3479 (H,wt=17): 3708 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(2259(a,1),3706(a,1,2,2))]. given #3480 (H,wt=19): 3693 (1 / (x * y)) * ((x \ 1) \ 1) = K(x,x \ 1) / y. [para(325(a,1),3562(a,1,1))]. given #3481 (H,wt=19): 3694 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [hyper(166,a,3567,a,b,2819,a)]. given #3482 (H,wt=19): 3696 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [hyper(227,a,1539,a,b,3634,a(flip)),flip(a)]. given #3483 (H,wt=19): 3697 x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. [para(3634(a,2),14(a,1,2))]. given #3484 (H,wt=17): 3711 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(227,a,2748,a,b,3697,a(flip)),flip(a)]. given #3485 (H,wt=17): 3712 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(17,a,2976,a(flip),b,3711,a)]. given #3486 (H,wt=17): 3713 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(17,a,13,a(flip),b,3711,a)]. given #3487 (H,wt=15): 3717 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(227,a,3628,a(flip),b,3713,a(flip)),flip(a)]. given #3488 (H,wt=15): 3718 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(72,a,3713,a(flip),b,3628,a(flip))]. given #3489 (H,wt=13): 3734 T(x,K(x \ 1,x) \ y) = T(x,y). [para(3718(a,2),3709(a,1,2))]. given #3490 (H,wt=13): 3735 T(x,K(x \ 1,x) * y) = T(x,y). [para(13(a,1),3734(a,1,2)),flip(a)]. given #3491 (H,wt=15): 3719 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(17,a,3628,a(flip),b,3713,a(flip)),flip(a)]. given #3492 (H,wt=15): 3720 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(3107,a,3717,a)]. given #3493 (H,wt=15): 3721 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(3103,a,3717,a)]. given #3494 (H,wt=15): 3724 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [para(3087(a,1),3717(a,1,2))]. given #3495 (H,wt=15): 3730 (x * K(y \ 1,y)) \ x = K(y,y \ 1). [hyper(1102,a,3718,a)]. given #3496 (H,wt=15): 3736 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3602(a,1),3735(a,1,2)),flip(a)]. given #3497 (H,wt=15): 3737 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(3093,a,3719,a)]. given #3498 (H,wt=15): 3742 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(3093,a,3720,a)]. given #3499 (H,wt=15): 3743 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(3088,a,3720,a)]. given #3500 (H,wt=15): 3747 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(73,a,3720,a(flip),b,3087,a(flip))]. given #3501 (H,wt=15): 3754 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(73,a,3724,a(flip),b,3099,a(flip))]. given #3502 (H,wt=17): 3715 (x \ 1) \ ((1 / x) * y) = K(x,x \ 1) * y. [para(13(a,1),3711(a,1,2)),flip(a)]. given #3503 (H,wt=17): 3716 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [para(3712(a,1),14(a,1,2))]. given #3504 (H,wt=17): 3722 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(17,a,3602,a,b,3717,a)]. given #3505 (H,wt=14): 3763 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(2822,a,3722,a)]. given #3506 (H,wt=13): 3766 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1818,a,3763,a)]. given #3507 (H,wt=11): 3767 L(x,1 / y,y) = L(x,y,y). [hyper(227,a,1392,a(flip),b,3766,a)]. given #3508 (H,wt=17): 3726 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(3542(a,1),3717(a,1,2))]. given #3509 (H,wt=17): 3727 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(3587(a,1),3717(a,1,2))]. given #3510 (H,wt=17): 3728 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(3641(a,1),3717(a,1,2))]. given #3511 (H,wt=17): 3729 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(3649(a,1),3717(a,1,2))]. given #3512 (H,wt=17): 3731 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(227,a,3587,a(flip),b,3718,a)]. given #3513 (H,wt=17): 3738 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(3719(a,1),3563(a,1,1)),flip(a)]. given #3514 (H,wt=17): 3739 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(3719(a,1),3589(a,1,2)),flip(a)]. given #3515 (H,wt=17): 3740 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(3719(a,1),3604(a,1,2)),flip(a)]. given #3516 (H,wt=17): 3741 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(3719(a,1),3623(a,1,2)),flip(a)]. given #3517 (H,wt=17): 3744 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(17,a,3649,a,b,3720,a)]. given #3518 (H,wt=17): 3745 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(17,a,3606,a,b,3720,a)]. given #3519 (H,wt=17): 3746 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [hyper(17,a,3542,a,b,3720,a)]. given #3520 (H,wt=17): 3750 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(3565(a,1),3720(a,1,2))]. given #3521 (H,wt=17): 3751 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(3721(a,1),3558(a,1,1)),flip(a)]. given #3522 (H,wt=17): 3752 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(17,a,3602,a,b,3724,a)]. given #3523 (H,wt=17): 3753 (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). [hyper(17,a,3128,a,b,3724,a)]. given #3524 (H,wt=15): 3782 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(2276,a,3753,a)]. given #3525 (H,wt=17): 3755 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(3576(a,1),3724(a,1,2))]. given #3526 (H,wt=17): 3757 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [hyper(18,a,3540,a,b,3742,a)]. given #3527 (H,wt=17): 3761 (1 / x) * ((x \ 1) \ y) = y * K(x,x \ 1). [hyper(227,a,3087,a(flip),b,3716,a)]. given #3528 (H,wt=17): 3768 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(62(a,1),3766(a,1,2)),flip(a)]. given #3529 (H,wt=17): 3771 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(227,a,2233,a(flip),b,3729,a(flip)),flip(a)]. given #3530 (H,wt=17): 3774 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(72,a,3741,a(flip),b,3113,a(flip))]. given #3531 (H,wt=17): 3780 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(744(a,1),3746(a,1,1)),flip(a)]. given #3532 (H,wt=17): 3789 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(17,a,1752,a,b,3771,a)]. given #3533 (H,wt=17): 3791 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(18,a,2662,a,b,3780,a),flip(a)]. given #3534 (H,wt=17): 3793 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(3789(a,2),62(a,1,2))]. given #3535 (H,wt=17): 3794 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(72,a,3791,a(flip),b,2124,a(flip)),flip(a)]. given #3536 (H,wt=18): 3723 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(3717(a,1),19(a,1)),flip(a)]. given #3537 (H,wt=18): 3725 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(3717(a,1),3102(a,1)),flip(a),flip(b)]. given #3538 (H,wt=18): 3732 K(x,x \ 1) * (K(x \ 1,x) * y) != z | z = y. [para(3718(a,1),282(a,1))]. given #3539 (H,wt=18): 3748 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(3720(a,1),19(a,1)),flip(a)]. given #3540 (H,wt=18): 3749 K(x,x \ 1) \ y != z | y * K(x \ 1,x) = z. [para(3720(a,1),282(a,1,2)),flip(b)]. given #3541 (H,wt=17): 3798 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(3749,a,3622,a(flip)),flip(a)]. given #3542 (H,wt=17): 3799 ((x \ 1) \ 1) \ ((x \ 1) \ K(y,x)) = K(y,x). [hyper(17,a,3657,a(flip),b,3798,a)]. given #3543 (H,wt=17): 3802 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(3799(a,1),14(a,1,2))]. given #3544 (H,wt=18): 3756 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(3730(a,1),205(a,1,2))]. given #3545 (H,wt=18): 3758 (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. [para(3747(a,1),293(a,1))]. given #3546 (H,wt=18): 3762 K(x,x \ 1) * (x \ y) = (1 / x) * L(y,x,x). [para(1346(a,1),3716(a,1,2)),flip(a)]. given #3547 (H,wt=16): 3805 (1 / x) * L(y,x,x) = ((x \ 1) \ 1) \ y. [hyper(227,a,3659,a(flip),b,3762,a(flip))]. given #3548 (H,wt=18): 3786 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(18,a,505,a,b,3757,a)]. given #3549 (H,wt=18): 3788 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(488,a,3768,a),flip(a)]. given #3550 (H,wt=18): 3804 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(3099(a,2),3758(a,1))]. given #3551 (H,wt=18): 3808 R(x \ y,y \ 1,y) = (x \ 1) * ((y \ 1) \ 1). [para(124(a,1),3786(a,1,1)),flip(a)]. given #3552 (H,wt=19): 3710 (x \ ((y \ (x \ 1)) \ 1)) \ 1 = K(x,x \ 1) / y. [hyper(1654,a,3693,a)]. given #3553 (H,wt=19): 3714 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(72,a,3711,a(flip),b,3619,a)]. given #3554 (H,wt=19): 3764 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(3722(a,1),3589(a,1,2)),flip(a)]. given #3555 (H,wt=19): 3765 ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(3722(a,1),3623(a,1,2)),flip(a)]. given #3556 (H,wt=19): 3777 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [hyper(73,a,3442,a(flip),b,3745,a(flip))]. given #3557 (H,wt=14): 3813 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(227,a,1713,a(flip),b,3777,a(flip)),flip(a)]. given #3558 (H,wt=18): 3815 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(14(a,1),3813(a,1,2,1))]. given #3559 (H,wt=19): 3779 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3745(a,1),3558(a,1,1))]. given #3560 (H,wt=19): 3790 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [hyper(18,a,3279,a,b,3780,a),flip(a)]. given #3561 (H,wt=19): 3795 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(3696(a,1),3793(a,1,2))]. given #3562 (H,wt=19): 3796 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(227,a,3254,a(flip),b,3794,a(flip)),flip(a)]. given #3563 (H,wt=19): 3803 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(227,a,3652,a,b,3802,a(flip)),flip(a)]. given #3564 (H,wt=17): 3822 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [hyper(17,a,3378,a,b,3803,a)]. given #3565 (H,wt=19): 3806 ((x \ 1) \ 1) \ (x \ y) = (1 / x) * ((1 / x) * y). [para(1020(a,1),3805(a,1,2)),flip(a)]. given #3566 (H,wt=19): 3807 ((x \ 1) \ 1) \ (x / y) = (1 / x) * (1 / (y / x)). [para(1468(a,1),3805(a,1,2)),flip(a)]. given #3567 (H,wt=19): 3818 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(62(a,1),3790(a,1,2,1,1,2)),flip(a)]. given #3568 (H,wt=19): 3819 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(65(a,1),3795(a,1,2,2,1)),flip(a)]. given #3569 (H,wt=19): 3820 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(3796(a,1),62(a,1,2))]. given #3570 (H,wt=19): 3821 ((x \ (x / (1 / y))) \ 1) \ 1 = x \ (x / (y \ 1)). [para(65(a,1),3796(a,2,2,2,1))]. given #3571 (H,wt=19): 3823 (1 / x) * ((1 / x) * y) = (x \ 1) * ((x \ 1) * y). [hyper(227,a,3380,a(flip),b,3806,a(flip))]. given #3572 (H,wt=19): 3824 ((x \ 1) \ 1) \ (x / y) = x * ((1 / x) * (1 / y)). [hyper(227,a,3405,a(flip),b,3807,a)]. given #3573 (H,wt=19): 3825 (1 / x) \ ((y \ x) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(334,a,3818,a)]. given #3574 (H,wt=19): 3827 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(3819(a,1),62(a,1,2))]. given #3575 (H,wt=19): 3828 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(143(a,1),3820(a,1,2,2,2)),flip(a)]. given #3576 (H,wt=19): 3829 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(3821(a,1),139(a,1,2,2))]. given #3577 (H,wt=19): 3835 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [para(3827(a,2),14(a,1,2))]. given #3578 (H,wt=19): 3837 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [para(3828(a,1),62(a,1,2))]. given #3579 (H,wt=19): 3838 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(73,a,3835,a(flip),b,1623,a)]. given #3580 (H,wt=19): 3839 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [para(3837(a,2),14(a,1,2))]. given #3581 (H,wt=19): 3840 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(62(a,1),3838(a,1,1,1,2)),flip(a)]. given #3582 (H,wt=19): 3842 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(62(a,1),3839(a,1,2,2,2,2)),flip(a)]. given #3583 (H,wt=19): 3843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),3842(a,2,2,2,2))]. given #3584 (H,wt=19): 3844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(3842(a,1),65(a,1,1))]. given #3585 (H,wt=20): 3536 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(16(a,1),3535(a,1,2,2))]. given #3586 (H,wt=20): 3548 K(x,x \ 1) * y != z * T(x,x \ 1) | z * x = y. [para(3539(a,1),3088(a,2)),flip(b)]. given #3587 (H,wt=20): 3549 x * T(y,y \ 1) != z | K(y,y \ 1) * (x * y) = z. [para(3539(a,1),3090(a,1))]. given #3588 (H,wt=20): 3553 x * K(y,y \ 1) != z * ((y \ 1) \ 1) | z * y = x. [para(3540(a,1),20(a,1)),flip(a)]. given #3589 (H,wt=20): 3577 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(3564(a,1),3572(a,1,1))]. given #3590 (H,wt=20): 3591 T(x,x \ 1) * y != z * K(x,x \ 1) | x * y = z. [para(3582(a,1),3088(a,1))]. given #3591 (H,wt=20): 3624 ((x \ 1) \ 1) * y != z | (x * y) * K(x,x \ 1) = z. [para(3587(a,1),3093(a,1))]. given #3592 (H,wt=20): 3630 (1 / x) \ ((x \ 1) * y) != z | K(x \ 1,x) * y = z. [para(3599(a,1),282(a,1,2)),flip(b)]. given #3593 (H,wt=20): 3631 (1 / x) \ ((x \ 1) * y) != K(x \ 1,x) * z | z = y. [para(3599(a,1),77(a,1,2))]. given #3594 (H,wt=20): 3635 (1 / x) \ y != z * K(x \ 1,x) | (x \ 1) \ y = z. [para(3601(a,1),3102(a,1)),flip(b)]. given #3595 (H,wt=20): 3637 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(3602(a,1),19(a,1)),flip(a)]. given #3596 (H,wt=20): 3640 (x \ 1) * y != z * K(x \ 1,x) | (1 / x) * y = z. [para(3602(a,1),3102(a,1)),flip(b)]. given #3597 (H,wt=20): 3644 K(x,x \ 1) * y != x * z | (1 / (1 / x)) * z = y. [para(3606(a,1),19(a,1)),flip(a)]. given #3598 (H,wt=20): 3647 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(3610(a,1),207(a,1,1)),flip(b)]. given #3599 (H,wt=20): 3671 x \ y != K(x,x \ 1) * z | ((x \ 1) \ 1) \ y = z. [para(3649(a,1),19(a,1))]. given #3600 (H,wt=20): 3702 (1 / x) \ ((x \ y) * x) != z | y * ((x \ 1) \ 1) = z. [para(3701(a,1),282(a,1,2)),flip(b)]. given #3601 (H,wt=17): 3848 x * ((x \ y) / (1 / x)) = y * ((x \ 1) \ 1). [hyper(3702,a,1375,a),flip(a)]. given #3602 (H,wt=17): 3849 (x * y) * ((x \ 1) \ 1) = x * (y / (1 / x)). [para(13(a,1),3848(a,1,2,1)),flip(a)]. given #3603 (H,wt=17): 3850 x * (((x \ 1) * y) * x) = y * ((x \ 1) \ 1). [para(3402(a,1),3848(a,1,2))]. given #3604 (H,wt=17): 3851 1 / (x * (y / (1 / x))) = (x \ 1) / (x * y). [para(3849(a,1),263(a,1,2))]. given #3605 (H,wt=17): 3853 ((x \ 1) \ y) * ((x \ 1) \ 1) = x * (y * x). [para(14(a,1),3850(a,1,2,1)),flip(a)]. given #3606 (H,wt=15): 3856 (x \ 1) \ (y / (x \ 1)) = x * (y * x). [hyper(227,a,1257,a(flip),b,3853,a(flip)),flip(a)]. given #3607 (H,wt=15): 3857 (x \ 1) \ (y \ x) = x * ((y \ 1) * x). [para(253(a,1),3856(a,1,2))]. given #3608 (H,wt=17): 3854 1 / (x * (y / (1 / x))) = x \ (1 / (x * y)). [hyper(227,a,318,a(flip),b,3851,a)]. given #3609 (H,wt=17): 3855 (x \ ((1 / y) * (x \ 1))) \ 1 = x * (y * x). [hyper(1652,a,3853,a)]. given #3610 (H,wt=17): 3861 ((x \ 1) \ y) \ (1 / y) = y \ (1 / (y * x)). [hyper(227,a,3499,a(flip),b,3854,a(flip)),flip(a)]. given #3611 (H,wt=17): 3863 (x \ (y * (x \ 1))) \ 1 = x * ((y \ 1) * x). [para(62(a,1),3855(a,1,1,2,1))]. given #3612 (H,wt=17): 3864 ((x \ 1) * ((1 / y) / x)) \ 1 = x * (y * x). [para(1391(a,1),3855(a,1,1))]. given #3613 (H,wt=17): 3868 x * (((y \ x) \ 1) * x) = (x \ (y \ 1)) \ 1. [para(124(a,1),3863(a,1,1,2)),flip(a)]. given #3614 (H,wt=17): 3869 (x \ 1) * ((1 / y) / x) = 1 / (x * (y * x)). [para(3864(a,1),62(a,1,2)),flip(a)]. given #3615 (H,wt=18): 3859 (x \ 1) \ (y \ x) != x * z | (y \ 1) * x = z. [para(3857(a,2),19(a,1))]. given #3616 (H,wt=19): 3867 (x \ (y * (x \ 1))) \ 1 = ((1 / x) \ (y \ 1)) * x. [hyper(227,a,619,a,b,3863,a)]. given #3617 (H,wt=19): 3870 (x \ (y * (x \ 1))) \ 1 = (x / ((y \ 1) \ 1)) * x. [para(317(a,2),3867(a,2,1))]. given #3618 (H,wt=19): 3871 (x / ((T(y,x) \ 1) \ 1)) * x = (x \ (x \ y)) \ 1. [para(1244(a,1),3870(a,1,1,2)),flip(a)]. given #3619 (H,wt=19): 3872 (x / T((y \ 1) \ 1,x)) * x = (x \ (x \ y)) \ 1. [para(1601(a,1),3871(a,1,1,2))]. given #3620 (H,wt=15): 3873 (x \ (x \ y)) \ 1 = ((y \ 1) * x) * x. [para(1196(a,1),3872(a,1,1)),flip(a)]. given #3621 (H,wt=19): 3874 (x \ (x \ ((y \ 1) \ 1))) \ 1 = ((1 / y) * x) * x. [para(1057(a,1),3873(a,2,1,1))]. given #3622 (H,wt=19): 3875 ((1 / x) * ((y \ x) \ 1)) \ 1 = ((1 / y) * x) * x. [para(2172(a,1),3874(a,1,1))]. given #3623 (H,wt=15): 3876 ((x \ y) \ 1) \ y = ((1 / x) * y) * y. [hyper(338,a,3875,a)]. given #3624 (H,wt=20): 3733 K(x \ 1,x) \ 1 != y * z | y \ K(x,x \ 1) = z. [para(3718(a,2),203(a,1))]. given #3625 (H,wt=20): 3769 K(x \ 1,x) \ (x * y) != z | ((x \ 1) \ 1) * y = z. [para(3727(a,1),282(a,1,2)),flip(b)]. given #3626 (H,wt=20): 3797 K(x,x \ 1) * (x * y) != z | ((x \ 1) \ 1) * y = z. [para(3727(a,1),3732(a,1,2)),flip(b)]. given #3627 (H,wt=20): 3800 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(3798(a,1),19(a,1))]. given #3628 (H,wt=20): 3810 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3774(a,1),3788(a,1,1))]. given #3629 (H,wt=20): 3811 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(3669(a,1),3804(a,1,2)),flip(b)]. given #3630 (H,wt=20): 3812 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(227,a,2964,a(flip),b,3808,a)]. given #3631 (H,wt=21): 3534 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(2547(a,2),3526(a,2,2)),flip(a)]. given #3632 (H,wt=19): 3879 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(227,a,3526,a(flip),b,3534,a)]. given #3633 (H,wt=21): 3668 (x \ y) * (1 / (z * (x \ y))) = K(x \ y,y \ x) / z. [para(3526(a,1),3664(a,1,1)),flip(a)]. given #3634 (H,wt=21): 3670 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(72,a,65,a(flip),b,3649,a)]. given #3635 (H,wt=21): 3685 K(x,x \ 1) * (y \ (z \ 1)) = ((z * y) \ x) * (1 / x). [para(123(a,1),3676(a,1,2))]. given #3636 (H,wt=17): 3880 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(227,a,1003,a(flip),b,3685,a)]. given #3637 (H,wt=17): 3881 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [hyper(3748,a,3880,a)]. given #3638 (H,wt=21): 3686 K(x,x \ 1) * (y * (z \ 1)) = ((z / y) \ x) * (1 / x). [para(125(a,1),3676(a,1,2))]. given #3639 (H,wt=21): 3687 (((1 / x) * y) \ z) * (1 / z) = K(z,z \ 1) * (y \ x). [para(250(a,1),3676(a,1,2)),flip(a)]. given #3640 (H,wt=21): 3688 T(x * ((y \ z) * (1 / z)),x) = (y / K(z,z \ 1)) \ x. [para(3676(a,1),1218(a,1,1,2))]. given #3641 (H,wt=21): 3773 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3126(a,1),3740(a,1,2,1))]. given #3642 (H,wt=21): 3776 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(227,a,1752,a,b,3744,a)]. given #3643 (H,wt=19): 3885 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(17,a,3256,a,b,3776,a),flip(a)]. given #3644 (H,wt=21): 3783 T(x,y) * (((T(x,y) \ 1) \ 1) \ z) = K(x,x \ 1) * z. [para(3782(a,1),3662(a,2,1))]. given #3645 (H,wt=21): 3784 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3782(a,1),3675(a,1,2))]. given #3646 (H,wt=21): 3785 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3126(a,1),3755(a,1,1))]. given #3647 (H,wt=21): 3834 x * (x * (((x \ y) \ 1) \ 1)) = (x * x) * ((y \ x) \ 1). [para(3825(a,1),1017(a,1,2))]. given #3648 (H,wt=19): 3889 x \ ((y \ (x \ 1)) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(72,a,2111,a(flip),b,3834,a)]. given #3649 (H,wt=19): 3890 (x * (((x \ y) \ 1) \ 1)) \ 1 = K(x,x \ 1) / y. [para(3889(a,1),3710(a,1,1))]. given #3650 (H,wt=21): 3841 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [hyper(227,a,3579,a,b,3839,a),flip(a)]. given #3651 (H,wt=21): 3845 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(32(a,2),3844(a,1,1,2,2,2))]. given #3652 (H,wt=21): 3858 x * (((x * (x * y)) \ 1) * x) = (x * (y * (1 / x))) \ 1. [hyper(227,a,3489,a(flip),b,3857,a(flip))]. given #3653 (H,wt=21): 3862 1 / (x * (y * (z / (1 / y)))) = (y \ (1 / (y * z))) / x. [hyper(73,a,3854,a(flip),b,335,a),flip(a)]. given #3654 (H,wt=21): 3877 ((1 / (1 / T(x,y \ 1))) * y) * y = ((y * x) \ 1) \ y. [para(692(a,1),3876(a,1,1,1)),flip(a)]. given #3655 (H,wt=21): 3883 T(x * ((y \ z) * (1 / z)),x) = (y * K(z \ 1,z)) \ x. [para(3747(a,1),3688(a,2,1))]. given #3656 (H,wt=21): 3884 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(1609(a,1),3773(a,2,1))]. given #3657 (H,wt=21): 3886 T(x,y) * (T((x \ 1) \ 1,y) \ z) = K(x,x \ 1) * z. [para(1601(a,1),3783(a,1,2,1))]. given #3658 (H,wt=21): 3892 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(1609(a,1),3845(a,1,1,2))]. given #3659 (H,wt=19): 3897 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(113(a,1),3892(a,1,1)),flip(a)]. given #3660 (H,wt=19): 3898 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(3897(a,1),65(a,1,1))]. given #3661 (H,wt=19): 3899 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(62(a,1),3898(a,1,1,1,1,2)),flip(a)]. given #3662 (H,wt=19): 3900 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(3899(a,1),65(a,1,1))]. given #3663 (H,wt=21): 3893 x * (((x * y) \ (x \ 1)) * x) = (x * (y * (1 / x))) \ 1. [para(123(a,1),3858(a,1,2,1))]. given #3664 (H,wt=21): 3894 ((1 / (1 / T(x,y \ 1))) * y) * y = (x \ (y \ 1)) \ y. [para(123(a,1),3877(a,2,1))]. given #3665 (H,wt=21): 3895 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(72,a,14,a(flip),b,3884,a),flip(a)]. given #3666 (H,wt=21): 3902 x * (((x * y) \ x) * (1 / x)) = (x * (y * (1 / x))) \ 1. [para(2112(a,1),3893(a,1,2))]. given #3667 (H,wt=17): 3905 (x * (y * (1 / x))) \ 1 = x * (y \ (1 / x)). [para(1003(a,1),3902(a,1,2)),flip(a)]. given #3668 (H,wt=17): 3906 1 / (x * (y \ (1 / x))) = x * (y * (1 / x)). [para(3905(a,1),62(a,1,2))]. given #3669 (H,wt=21): 3903 (((T(x,y \ 1) \ 1) \ 1) * y) * y = (x \ (y \ 1)) \ y. [para(1058(a,1),3894(a,1,1,1))]. given #3670 (H,wt=21): 3908 (T((x \ 1) \ 1,y \ 1) * y) * y = (x \ (y \ 1)) \ y. [para(1601(a,1),3903(a,1,1,1))]. given #3671 (H,wt=19): 3909 ((1 / x) \ ((y \ 1) \ 1)) * x = (y \ (x \ 1)) \ x. [para(1537(a,1),3908(a,1,1))]. given #3672 (H,wt=15): 3910 (x \ (y \ 1)) \ y = (y / (1 / x)) * y. [para(1066(a,1),3909(a,1,1)),flip(a)]. given #3673 (H,wt=22): 3700 ((x \ 1) \ K(y,x)) * K(x \ 1,x) != x * z | K(y,x) = z. [para(3657(a,2),19(a,1))]. given #3674 (H,wt=22): 3816 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(13(a,1),3815(a,1,2))]. given #3675 (H,wt=16): 3911 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(227,a,3234,a(flip),b,3816,a(flip)),flip(a)]. given #3676 (H,wt=17): 3914 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). [para(156(a,2),3911(a,2,2,2)),flip(a)]. given #3677 (H,wt=17): 3915 (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). [para(3914(a,1),143(a,1,1,1))]. given #3678 (H,wt=18): 3913 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(62(a,1),3911(a,1,1))]. given #3679 (H,wt=18): 3917 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(3913(a,2),3843(a,1,2))]. given #3680 (H,wt=14): 3918 x / L(y,y \ 1,x) = x * (1 / y). [para(62(a,1),3917(a,2,2,2))]. given #3681 (H,wt=14): 3919 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(3918(a,1),65(a,1,1)),flip(a)]. given #3682 (H,wt=13): 3920 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(227,a,159,a,b,3919,a),flip(a)]. given #3683 (H,wt=17): 3921 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(62(a,1),3920(a,1,2)),flip(a)]. given #3684 (H,wt=17): 3922 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(114(a,2),3921(a,1,2))]. given #3685 (H,wt=23): 3538 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(72,a,3458,a(flip),b,3533,a)]. given #3686 (H,wt=23): 3655 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(227,a,3098,a,b,3629,a),flip(a)]. given #3687 (H,wt=23): 3667 K(x * y,y \ (x \ 1)) / z = (x * y) * (1 / (z * (x * y))). [para(123(a,1),3664(a,1,1,2))]. given #3688 (H,wt=23): 3690 x \ K(y * z,z \ (y \ 1)) = (x \ (y * z)) * (1 / (y * z)). [para(123(a,1),3683(a,1,2,2))]. given #3689 (H,wt=23): 3691 x \ (K(y * x,(y * x) \ 1) * x) = (((y * x) \ 1) * y) * x. [para(3684(a,1),2114(a,1,2))]. given #3690 (H,wt=23): 3770 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(1860(a,1),3728(a,1,2))]. given #3691 (H,wt=23): 3778 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(3444(a,1),3745(a,1,2))]. given #3692 (H,wt=23): 3830 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(250(a,2),3825(a,1,2,1))]. given #3693 (H,wt=23): 3831 1 / (x * (y * (((y \ z) \ 1) \ 1))) = ((z \ y) * (1 / y)) / x. [para(3825(a,1),326(a,1,2,2))]. given #3694 (H,wt=23): 3832 x / (y * (((y \ z) \ 1) \ 1)) = (1 / x) \ ((z \ y) * (1 / y)). [para(3825(a,1),340(a,1,2))]. given #3695 (H,wt=23): 3852 (x * ((1 / x) * y)) * ((x \ 1) \ 1) = x * ((1 / x) * (y * x)). [para(1294(a,1),3849(a,2,2))]. given #3696 (H,wt=23): 3860 (x * (y \ 1)) \ (z \ (y / x)) = (y / x) * ((z \ 1) * (y / x)). [para(125(a,1),3857(a,1,1))]. given #3697 (H,wt=23): 3887 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(669(a,1),3784(a,1,1))]. given #3698 (H,wt=17): 3930 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,3583,a,b,3887,a)]. given #3699 (H,wt=17): 3931 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(227,a,418,a(flip),b,3930,a(flip)),flip(a)]. given #3700 (H,wt=23): 3904 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3895(a,1),3741(a,1,2))]. given #3701 (H,wt=23): 3907 ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = x * (y * (1 / x)). [hyper(227,a,2767,a,b,3906,a(flip)),flip(a)]. given #3702 (H,wt=17): 3932 (x * (y * (1 / x))) * x = ((x \ 1) \ 1) * y. [para(3907(a,1),2358(a,1,1))]. given #3703 (H,wt=17): 3933 (x * x) * ((x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(227,a,3342,a(flip),b,3932,a(flip)),flip(a)]. given #3704 (H,wt=23): 3924 x \ (K(y * x,x \ (y \ 1)) * x) = (((y * x) \ 1) * y) * x. [para(123(a,1),3691(a,1,2,1,2))]. given #3705 (H,wt=21): 3935 T(K(x * y,y \ (x \ 1)),y) = (((x * y) \ 1) * x) * y. [hyper(283,a,3924,a)]. given #3706 (H,wt=21): 3936 T(K(x * y,y \ (x \ 1)),y) = ((y \ (x \ 1)) * x) * y. [para(123(a,1),3935(a,2,1,1))]. given #3707 (H,wt=21): 3937 T(K(x * y,y \ (x \ 1)),y) = ((y \ x) * (1 / x)) * y. [para(2112(a,1),3936(a,2,1))]. given #3708 (H,wt=23): 3926 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(227,a,3453,a,b,3830,a)]. given #3709 (H,wt=23): 3927 (((x \ 1) \ y) * (1 / y)) / z = 1 / (z * (y * (1 / (x * y)))). [para(1062(a,1),3831(a,1,2,2,2)),flip(a)]. given #3710 (H,wt=23): 3928 (1 / x) \ (((y \ 1) \ z) * (1 / z)) = x / (z * (1 / (y * z))). [para(1062(a,1),3832(a,1,2,2)),flip(a)]. given #3711 (H,wt=23): 3939 (x * (((x \ y) \ 1) \ 1)) / z = 1 / (z * (x * (1 / (y * x)))). [para(2119(a,1),3927(a,1,1))]. given #3712 (H,wt=23): 3941 1 / (x * (y * (1 / (z * y)))) = (((y \ z) \ 1) / y) \ (1 / x). [hyper(570,a,3939,a),flip(a)]. given #3713 (H,wt=23): 3942 1 / (x * (y * (1 / (z * y)))) = ((y \ z) \ (1 / y)) \ (1 / x). [para(318(a,1),3941(a,2,1))]. given #3714 (H,wt=23): 3943 1 / (x * (y * (1 / (z * y)))) = ((z \ y) * (1 / y)) \ (1 / x). [para(1101(a,1),3942(a,2,1))]. given #3715 (H,wt=24): 3547 (x * y) * K(y,y \ 1) != z * u | z \ (x * T(y,y \ 1)) = u. [para(3539(a,2),457(a,1))]. given #3716 (H,wt=24): 3580 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2993(a,1),3575(a,1,1)),flip(a)]. given #3717 (H,wt=24): 3590 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(183(a,1),3582(a,1,2))]. given #3718 (H,wt=20): 3945 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(227,a,3764,a(flip),b,3590,a)]. given #3719 (H,wt=24): 3695 K(x,x \ 1) * (y * x) != x * z | T(K(x,x \ 1) * y,x) = z. [para(3567(a,1),167(a,2)),flip(a)]. given #3720 (H,wt=24): 3760 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) != z * u | z \ y = u. [para(3715(a,1),565(a,1,2,2))]. given #3721 (H,wt=24): 3775 ((x \ 1) \ 1) * (K(x \ 1,x) * y) != z * u | z \ (x * y) = u. [para(3741(a,2),457(a,1))]. given #3722 (H,wt=24): 3846 K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. [para(15(a,1),3536(a,1,2))]. given #3723 (H,wt=19): 3946 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(3846,a,3448,a)]. given #3724 (H,wt=21): 3947 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(3946(a,1),3670(a,1,1))]. given #3725 (H,wt=18): 3948 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(3258(a,2),3947(a,2,1)),flip(a)]. given #3726 (H,wt=16): 3949 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(227,a,3731,a(flip),b,3948,a)]. given #3727 (H,wt=16): 3950 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [para(3949(a,1),62(a,1,2)),flip(a)]. given #3728 (H,wt=17): 3952 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(227,a,155,a,b,3950,a),flip(a)]. given #3729 (H,wt=18): 3951 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(65(a,1),3949(a,1,1,1))]. given #3730 (H,wt=14): 3954 R(x,1 / x,y) \ y = (x \ 1) * y. [para(65(a,1),3951(a,2,1,1))]. given #3731 (H,wt=14): 3955 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3954(a,1),62(a,1,2)),flip(a)]. given #3732 (H,wt=13): 3956 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(227,a,155,a,b,3955,a)]. given #3733 (H,wt=22): 3957 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3956(a,1),1516(a,1,1))]. given #3734 (H,wt=21): 3958 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(227,a,1516,a(flip),b,3957,a(flip))]. given #3735 (H,wt=22): 3959 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(1684,a,3958,a),flip(a)]. given #3736 (H,wt=24): 3953 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3952(a,2),3264(a,2,2)),flip(a)]. given #3737 (H,wt=24): 3961 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(2786(a,1),3953(a,2,1))]. given #3738 (H,wt=25): 3615 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3607(a,1),241(a,1,1))]. given #3739 (H,wt=25): 3699 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(227,a,3098,a,b,3656,a),flip(a)]. given #3740 (H,wt=25): 3787 ((x * x) \ (1 / y)) \ (z * (1 / ((y * (x * x)) * z))) = K(z,z \ 1). [hyper(72,a,3423,a(flip),b,3761,a(flip))]. given #3741 (H,wt=25): 3792 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(1796(a,1),3780(a,1,1)),flip(a)]. given #3742 (H,wt=25): 3865 ((x \ 1) \ (y \ z)) \ ((1 / z) * y) = (y \ z) \ (1 / ((y \ z) * x)). [para(313(a,1),3861(a,1,2))]. given #3743 (H,wt=25): 3882 x * (((x \ (y / (1 / z))) \ 1) \ 1) = K(x,x \ 1) * ((y \ 1) \ z). [hyper(227,a,2121,a(flip),b,3687,a(flip)),flip(a)]. given #3744 (H,wt=25): 3925 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(3530(a,1),3778(a,1,2))]. given #3745 (H,wt=26): 3809 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(3247(a,2),3786(a,1,2))]. given #3746 (H,wt=26): 3826 (x * (((x \ y) \ 1) \ 1)) \ 1 != z | (((y \ x) \ 1) \ 1) * (x \ 1) = z. [para(3818(a,1),324(a,1,1))]. given #3747 (H,wt=19): 3965 (((x \ y) \ 1) \ 1) * (y \ 1) = K(y,y \ 1) / x. [hyper(3826,a,3890,a)]. given #3748 (H,wt=19): 3966 (((x \ y) \ 1) \ 1) * (y \ 1) = y * (1 / (x * y)). [hyper(227,a,3664,a(flip),b,3965,a)]. given #3749 (H,wt=23): 3967 (((x \ y) * (1 / y)) \ z) \ 1 = (z \ 1) * (y * (1 / (x * y))). [para(3966(a,1),1722(a,1,2)),flip(a)]. given #3750 (H,wt=26): 3836 x * (1 / (1 / (x \ (y \ x)))) != z * u | ((1 / (1 / y)) \ x) / u = z. [para(3827(a,2),276(a,1,2))]. given #3751 (H,wt=26): 3901 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3607(a,1),3900(a,1,1,1,1))]. given #3752 (H,wt=26): 3938 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) != y * z | K(x \ y,y \ x) = z. [para(3926(a,2),19(a,1))]. given #3753 (H,wt=27): 3646 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(236(a,1),3606(a,1,2))]. given #3754 (H,wt=27): 3679 K(x,x \ 1) * ((y * z) \ (z \ 1)) = x * (1 / (((z / (1 / y)) * z) * x)). [para(3428(a,1),3661(a,1,2,2,1)),flip(a)]. given #3755 (H,wt=25): 3968 x * (1 / (((y / (1 / z)) * y) * x)) = ((y * (z * y)) \ x) * (1 / x). [hyper(227,a,3685,a(flip),b,3679,a(flip))]. given #3756 (H,wt=27): 3878 (((1 / x) * (1 / y)) * (1 / y)) \ 1 = y * ((((x \ (1 / y)) \ 1) \ 1) \ 1). [para(3876(a,1),320(a,1,1))]. given #3757 (H,wt=23): 3969 x * ((((y \ (1 / x)) \ 1) \ 1) \ 1) = (1 / x) \ ((1 / x) \ y). [hyper(576,a,3878,a),flip(a)]. given #3758 (H,wt=23): 3970 x * (((x * ((y \ 1) \ 1)) \ 1) \ 1) = (1 / x) \ ((1 / x) \ y). [para(320(a,1),3969(a,1,2,1,1))]. given #3759 (H,wt=23): 3971 x * ((((y \ 1) \ 1) \ (x \ 1)) \ 1) = (1 / x) \ ((1 / x) \ y). [para(123(a,1),3970(a,1,2,1))]. given #3760 (H,wt=23): 3972 x * (((x \ 1) \ 1) * (1 / (y \ 1))) = (1 / x) \ ((1 / x) \ y). [para(1070(a,1),3971(a,1,2))]. given #3761 (H,wt=19): 3973 (1 / x) \ ((1 / x) \ y) = x * (((x \ 1) \ 1) * y). [para(62(a,1),3972(a,1,2,2)),flip(a)]. given #3762 (H,wt=26): 3974 x * ((x \ (1 / y)) * L(1 / y,x,x)) = x / (y * (((y \ 1) \ 1) * x)). [para(3973(a,1),2145(a,2,2))]. given #3763 (H,wt=27): 3929 (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = x * ((1 / x) * ((1 / y) * x)). [para(3824(a,2),3852(a,1,1))]. given #3764 (H,wt=27): 3934 T((1 / x) / x,1 / x) = ((((1 / x) \ 1) \ 1) * y) / (((1 / x) \ 1) * y). [hyper(73,a,3933,a(flip),b,643,a),flip(a)]. given #3765 (H,wt=23): 3976 T((1 / x) / x,1 / x) = ((x \ 1) * y) / (((1 / x) \ 1) * y). [para(65(a,1),3934(a,2,1,1,1))]. given #3766 (H,wt=19): 3977 T((1 / x) / x,1 / x) = ((x \ 1) * y) / (x * y). [para(65(a,1),3976(a,2,2,1))]. given #3767 (H,wt=19): 3979 T(x \ (x \ 1),1 / x) = ((x \ 1) * y) / (x * y). [para(988(a,1),3977(a,1,1))]. given #3768 (H,wt=19): 3980 T(x \ (x \ 1),x \ 1) = ((x \ 1) * y) / (x * y). [hyper(227,a,1539,a(flip),b,3979,a(flip)),flip(a)]. given #3769 (H,wt=17): 3981 x \ T(x \ 1,x) = ((x \ 1) * y) / (x * y). [hyper(1330,a,3980,a)]. given #3770 (H,wt=15): 3982 ((x \ 1) * y) / (x * y) = x \ (1 / x). [para(798(a,1),3981(a,1,2)),flip(a)]. given #3771 (H,wt=17): 3983 (x \ y) \ (1 / (x \ y)) = (y \ x) * (y \ x). [hyper(227,a,3408,a(flip),b,3982,a(flip))]. given #3772 (H,wt=21): 3985 ((x \ y) \ 1) * ((x \ y) \ z) = ((y \ x) * (y \ x)) * z. [para(3983(a,1),2384(a,1,1)),flip(a)]. given #3773 (H,wt=19): 3986 T(x / y,x) * ((1 / y) * x) = (y \ x) * (y \ x). [hyper(3306,a,3985,a)]. given #3774 (H,wt=19): 3988 (((x / y) * x) \ y) \ z = ((y \ x) * (y \ x)) * z. [para(3986(a,1),3303(a,1,1)),flip(a)]. given #3775 (H,wt=15): 3989 x \ ((y / x) * y) = (x \ y) * (x \ y). [hyper(974,a,3988,a)]. given #3776 (H,wt=15): 3990 x * ((x \ y) * (x \ y)) = (y / x) * y. [para(3989(a,1),14(a,1,2))]. given #3777 (H,wt=17): 3991 (x \ y) \ ((x \ y) \ 1) = ((y / x) * y) \ x. [para(3990(a,1),984(a,1,1)),flip(a)]. given #3778 (H,wt=19): 3992 x / ((y \ z) * (y \ z)) = x * (((z / y) * z) \ y). [para(3991(a,1),987(a,1,2)),flip(a)]. given #3779 (H,wt=19): 3993 (x / y) \ ((x / y) \ y) = y * (((x / y) * x) \ y). [hyper(227,a,3216,a(flip),b,3992,a(flip)),flip(a)]. given #3780 (H,wt=27): 3940 ((1 / x) * y) \ (((z \ 1) \ u) * (1 / u)) = (y \ x) / (u * (1 / (z * u))). [para(313(a,1),3928(a,1,1))]. given #3781 (H,wt=27): 3944 (((1 / (x * (1 / y))) \ y) \ 1) \ (1 / z) = ((x \ y) * (1 / y)) \ (1 / z). [hyper(227,a,3422,a,b,3943,a(flip)),flip(a)]. given #3782 (H,wt=27): 3962 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3961(a,2),3011(a,1))]. given #3783 (H,wt=27): 3975 (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = x * ((1 / x) * (1 / (x \ y))). [para(313(a,2),3929(a,2,2,2))]. given #3784 (H,wt=27): 3994 ((1 / x) * y) \ (z * (((z \ u) \ 1) \ 1)) = (y \ x) / (z * (1 / (u * z))). [para(2119(a,1),3940(a,1,2))]. given #3785 (H,wt=27): 3995 (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = (1 / x) * (1 / ((x \ y) / x)). [hyper(227,a,3405,a,b,3975,a)]. given #3786 (H,wt=17): 3996 (x / y) * ((x \ 1) \ 1) = 1 / ((x \ y) / x). [hyper(2741,a,3995,a)]. given #3787 (H,wt=28): 3963 x * (((x \ (y / (1 / z))) \ 1) \ 1) != u | ((y \ 1) \ z) * K(x,x \ 1) = u. [para(3882(a,2),3093(a,1))]. given #3788 (H,wt=29): 3323 (x \ 1) \ ((1 / (y * (z * (u \ 1)))) \ x) = ((x \ 1) \ y) * ((x \ (u / z)) \ 1). [para(317(a,1),1878(a,1,2))]. given #3789 (H,wt=25): 3997 ((x \ 1) \ y) * ((x \ (z / u)) \ 1) = (x \ 1) \ (((z / u) / y) \ x). [para(327(a,1),3323(a,1,2,1)),flip(a)]. given #3790 (H,wt=23): 3998 (x \ 1) \ (((y / z) / 1) \ x) = ((x \ 1) \ z) * ((x \ y) \ 1). [hyper(227,a,3322,a(flip),b,3997,a(flip))]. given #3791 (H,wt=21): 3999 ((x \ 1) \ y) * ((x \ z) \ 1) = (x \ 1) \ ((z / y) \ x). [para(60(a,1),3998(a,1,2,1)),flip(a)]. given #3792 (H,wt=21): 4000 ((x \ 1) \ y) * ((x \ z) \ 1) = x * (((z / y) \ 1) * x). [hyper(227,a,3857,a(flip),b,3999,a)]. given #3793 (H,wt=21): 4001 ((x \ 1) \ y) * ((x \ z) \ 1) = x * ((y * (z \ 1)) * x). [para(125(a,1),4000(a,2,2,1))]. given #3794 (H,wt=29): 3324 (1 / (((1 / x) * y) * z)) \ ((y \ x) \ 1) = ((1 / x) * y) * (z * ((1 / x) * y)). [hyper(334,a,2011,a)]. given #3795 (H,wt=29): 3673 (1 / T(x,K(y,y \ 1) * z)) \ (y * (1 / (z * y))) = (y * (1 / (z * y))) * x. [para(3650(a,1),704(a,1,1,2,2))]. given #3796 (H,wt=29): 3759 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) != u | x / (z * K(y \ 1,y)) = u. [para(3754(a,1),595(a,1,1,1))]. given #3797 (H,wt=29): 3817 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(236(a,1),3779(a,1,1)),flip(a)]. given #3798 (H,wt=29): 3888 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3885(a,1),3785(a,1,1))]. given #3799 (H,wt=25): 4004 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(1602(a,1),3888(a,2,2,2))]. given #3800 (H,wt=21): 4005 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(62(a,1),4004(a,2,2))]. given #3801 (H,wt=29): 3896 ((1 / x) * y) * (T(((y / x) \ 1) \ 1,y) \ z) = K(y / x,(y / x) \ 1) * z. [hyper(227,a,643,a(flip),b,3886,a(flip)),flip(a)]. given #3802 (H,wt=29): 3916 L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(190(a,1),3915(a,1,1,1,1)),flip(a)]. given #3803 (H,wt=27): 4007 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(1049(a,1),3916(a,1,1))]. given #3804 (H,wt=23): 4008 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(3922(a,1),4007(a,2,1,1))]. given #3805 (H,wt=20): 4009 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(4008(a,1),1055(a,1,2))]. given #3806 (H,wt=24): 4010 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(4009(a,1),2628(a,2,1,2))]. given #3807 (H,wt=20): 4011 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(227,a,767,a(flip),b,4010,a)]. given #3808 (H,wt=20): 4013 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(114(a,1),4011(a,2,1))]. given #3809 (H,wt=19): 4014 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(156(a,1),4013(a,1,2,1))]. given #3810 (H,wt=13): 4016 T(K(x,y),x) = K((x \ 1) \ 1,y). [hyper(227,a,3282,a(flip),b,4014,a(flip)),flip(a)]. given #3811 (H,wt=11): 4017 K((x \ 1) \ 1,y) = K(x,y). [hyper(227,a,3009,a(flip),b,4016,a(flip))]. given #3812 (H,wt=11): 4018 K(1 / x,y) = K(x \ 1,y). [para(65(a,1),4017(a,1,1,1)),flip(a)]. given #3813 (H,wt=15): 4019 K((x \ (y \ 1)) \ 1,z) = K(y * x,z). [para(123(a,1),4017(a,1,1,1))]. given #3814 (H,wt=18): 4020 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(227,a,3160,a,b,4018,a),flip(a)]. given #3815 (H,wt=14): 4023 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4020(a,1),3161(a,1))]. given #3816 (H,wt=14): 4024 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(62(a,1),4023(a,1,1))]. given #3817 (H,wt=19): 4021 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(4018(a,1),3010(a,2,2))]. given #3818 (H,wt=23): 4025 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(4021(a,1),3770(a,1,2))]. given #3819 (H,wt=17): 4026 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(3647,a,4025,a)]. given #3820 (H,wt=19): 4027 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(4026(a,1),1856(a,1,1))]. given #3821 (H,wt=25): 4015 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(227,a,1871,a,b,4014,a(flip)),flip(a)]. given #3822 (H,wt=21): 4029 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(227,a,4017,a(flip),b,4015,a)]. given #3823 (H,wt=29): 3964 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(2259(a,1),3925(a,1,2))]. given #3824 (H,wt=25): 4030 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(3829(a,1),3964(a,2,1))]. given #3825 (H,wt=29): 4002 (((x \ (y \ z)) \ 1) \ 1) \ ((y \ z) \ 1) = ((1 / z) * y) * (x * ((1 / z) * y)). [para(1071(a,1),3324(a,1,1))]. given #3826 (H,wt=23): 4031 ((1 / x) * y) * (z * ((1 / x) * y)) = (y \ x) \ (z / (y \ x)). [hyper(2131,a,4002,a),flip(a)]. given #3827 (H,wt=29): 4028 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(95(a,2),4027(a,1,1,2))]. given #3828 (H,wt=30): 995 (x / (y \ z)) / ((1 / z) * y) != u | (((1 / z) * y) * (1 / x)) \ ((1 / z) * y) = u. [para(342(a,1),971(a,1,1))]. given #3829 (H,wt=30): 1160 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(89(a,1),474(a,1,2,2))]. given #3830 (H,wt=30): 1624 (x * (y * z)) \ ((z / (x * (y * z))) \ ((x * y) \ (x * (y * z)))) = a(x,y,z) \ 1. [para(24(a,2),1615(a,2,1))]. given #3831 (H,wt=25): 4032 (x * (y * z)) \ ((z / (x * (y * z))) \ L(z,y,x)) = a(x,y,z) \ 1. [para(28(a,2),1624(a,1,2,2))]. given #3832 (H,wt=30): 1643 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(515(a,1),776(a,1,2,1,2)),flip(a)]. given #3833 (H,wt=27): 4033 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(1588,a,1643,a),flip(a)]. given #3834 (H,wt=27): 4034 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),4033(a,1,2,1,2,2)),flip(a)]. given #3835 (H,wt=23): 4036 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(306,a,4034,a),flip(a)]. given #3836 (H,wt=17): 4038 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(2066,a,4036,a),flip(a)]. given #3837 (H,wt=23): 4039 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(227,a,2331,a(flip),b,4036,a(flip)),flip(a)]. given #3838 (H,wt=26): 4037 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(4034(a,1),306(a,1))]. given #3839 (H,wt=20): 4042 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(2060(a,1),4037(a,1))]. given #3840 (H,wt=26): 4043 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(2331(a,1),4037(a,1))]. given #3841 (H,wt=27): 4035 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(1491(a,1),4033(a,2,1))]. given #3842 (H,wt=30): 1645 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(515(a,1),1575(a,1,2,1,1)),flip(a)]. given #3843 (H,wt=30): 1759 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(102(a,2),1623(a,2,2,2,2))]. given #3844 (H,wt=30): 1894 (T(x,y) * (((1 / y) * x) / z)) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). [para(631(a,1),1891(a,1,1,2,1))]. given #3845 (H,wt=30): 1895 (T(x,y) * (T(x / y,x) / z)) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). [para(649(a,2),1891(a,1,1,2,1))]. given #3846 (H,wt=30): 1900 (x * y) * T((x * y) \ (x * z),u) != w * v5 | (x * (y * T(y \ z,u))) / v5 = w. [para(485(a,2),542(a,1,2))]. given #3847 (H,wt=30): 2330 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(1580(a,1),209(a,1,2))]. given #3848 (H,wt=30): 2332 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(1581(a,1),209(a,1,2))]. given #3849 (H,wt=30): 2493 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(411(a,1),2487(a,1,1)),flip(a)]. given #3850 (H,wt=25): 4047 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(227,a,468,a(flip),b,2493,a)]. given #3851 (H,wt=23): 4048 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(636(a,1),4047(a,2,2))]. given #3852 (H,wt=29): 4049 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(1328,a,4048,a)]. given #3853 (H,wt=21): 4051 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(4048(a,1),4049(a,1,1,2))]. given #3854 (H,wt=17): 4052 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(13(a,1),4051(a,1,1))]. given #3855 (H,wt=17): 4054 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3133(a,1),4052(a,1,1))]. given #3856 (H,wt=17): 4055 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3133(a,1),4054(a,2,2))]. given #3857 (H,wt=17): 4056 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(4055(a,1),16(a,1,1))]. given #3858 (H,wt=30): 2802 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(2776(a,2),167(a,2)),flip(a)]. given #3859 (H,wt=30): 2832 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(2777(a,2),167(a,2)),flip(a)]. given #3860 (H,wt=30): 2857 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(2778(a,2),167(a,2)),flip(a)]. given #3861 (H,wt=30): 3439 (x * y) \ ((y \ (x \ 1)) \ z) != u * w | u \ ((x * y) * ((1 / (x * y)) * z)) = w. [para(3374(a,2),457(a,1))]. given #3862 (H,wt=30): 3518 1 / (((((x / y) * (y * L(z,y,y))) \ u) * (1 / u)) * u) = u \ (y \ ((y * x) * z)). [para(1368(a,2),2874(a,1,2,1,1,1,2))]. given #3863 (H,wt=30): 3520 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(227,a,3264,a(flip),b,3519,a(flip))]. given #3864 (H,wt=24): 4058 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(2856(a,1),3520(a,1,2)),flip(a)]. given #3865 (H,wt=30): 4045 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(227,a,1623,a(flip),b,1759,a(flip))]. given #3866 (H,wt=30): 4046 (T(x,y) * (1 / (z * (x \ y)))) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). [para(328(a,1),1894(a,1,1,2))]. given #3867 (H,wt=27): 4059 L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x * (y \ z),T(y,z),T(y,z)). [hyper(1322,a,4046,a),flip(a)]. given #3868 (H,wt=30): 4057 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(16(a,1),2802(a,1,2,1,2))]. given #3869 (H,wt=27): 4060 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(4057,a,2671,a)]. given #3870 (H,wt=29): 4061 T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(2548(a,1),4060(a,1,1,2,1)),flip(a)]. given #3871 (H,wt=27): 4062 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(131(a,1),4061(a,1,1))]. given #3872 (H,wt=25): 4063 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(131(a,1),4062(a,1,2,1,1)),flip(a)]. given #3873 (H,wt=23): 4064 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(227,a,3510,a(flip),b,4063,a)]. given #3874 (H,wt=27): 4065 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),4064(a,1,1,2,1)),flip(a)]. given #3875 (H,wt=23): 4066 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),4065(a,1,1,2,1)),flip(a)]. given #3876 (H,wt=31): 1134 (x * ((y \ 1) \ 1)) \ (1 / (y \ (1 / x))) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). [para(320(a,1),1101(a,1,1))]. given #3877 (H,wt=31): 1429 (x * (1 / y)) \ (((y \ 1) \ (1 / x)) \ z) != u | L(z,x * (1 / y),x * (1 / y)) = u. [para(1120(a,1),1365(a,1,2,1))]. given #3878 (H,wt=31): 1726 (1 / x) \ (((1 / y) * z) * T((1 / y) * z,u)) = x / ((z * T((1 / y) * z,u)) \ y). [para(1083(a,2),342(a,1,2))]. given #3879 (H,wt=31): 1787 (1 / (x \ (y \ 1))) \ (((x \ (y \ 1)) \ 1) * z) = (1 / (z * (y * x))) \ (x \ (y \ 1)). [para(1137(a,1),1753(a,1,1)),flip(a)]. given #3880 (H,wt=31): 1813 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(538(a,1),473(a,1,2))]. given #3881 (H,wt=31): 1839 (x * (x \ (y \ 1))) * ((x \ (y \ 1)) \ (x \ z)) = (((y * x) / ((1 / z) * x)) \ y) \ 1. [para(1837(a,2),1630(a,2,1))]. given #3882 (H,wt=27): 4070 (((x * y) / ((1 / z) * y)) \ x) \ 1 = (x \ 1) * ((y \ (x \ 1)) \ (y \ z)). [hyper(556,a,1839,a),flip(a)]. given #3883 (H,wt=31): 2118 ((x \ y) * (1 / y)) / ((z \ (x \ (y \ 1))) * y) != u | R(z,z \ (x \ (y \ 1)),y) = u. [para(2112(a,1),867(a,1,1))]. given #3884 (H,wt=31): 2122 (x \ ((1 / y) * z)) * (1 / ((1 / y) * z)) = ((1 / y) * z) * ((((z \ y) / x) \ 1) \ 1). [para(344(a,1),2120(a,1,2,1,1)),flip(a)]. given #3885 (H,wt=31): 2654 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(273(a,1),2609(a,2,1,2,1))]. given #3886 (H,wt=25): 4073 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(3597(a,1),2654(a,1,2,2,1,2))]. given #3887 (H,wt=31): 2956 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(1488(a,1),2939(a,1,1)),flip(a)]. given #3888 (H,wt=27): 4074 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(1488(a,1),2956(a,1,2)),flip(a)]. given #3889 (H,wt=24): 4075 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(227,a,2872,a(flip),b,4074,a(flip))]. given #3890 (H,wt=31): 3118 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(3099(a,1),872(a,1,2))]. given #3891 (H,wt=31): 3369 T(x / y,x) * ((1 / T(x / y,x)) * z) = (T(x / y,x) \ 1) * (((1 / y) * x) * z). [para(643(a,1),3359(a,1,2)),flip(a)]. given #3892 (H,wt=27): 4076 T(x / y,x) * ((1 / T(x / y,x)) * z) = (x \ y) * (((1 / y) * x) * z). [para(644(a,1),3369(a,2,1))]. given #3893 (H,wt=31): 3395 (x * (1 / (y \ (z \ 1)))) * ((y \ (z \ 1)) \ 1) = (1 / (x / (y \ (z \ 1)))) \ (z * y). [hyper(227,a,340,a(flip),b,3394,a)]. given #3894 (H,wt=31): 3396 (x * (1 / (y \ (1 / z)))) * (z * ((y \ 1) \ 1)) = (x / (y \ (1 / z))) / (y \ (1 / z)). [para(320(a,1),3394(a,1,2))]. given #3895 (H,wt=31): 3400 T(((1 / x) \ y) * (x \ (((1 / x) \ y) / x)),x) = (y * ((x \ ((1 / x) \ y)) / x)) * x. [para(3399(a,1),917(a,1,1))]. given #3896 (H,wt=29): 4079 T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * ((x \ ((1 / x) \ y)) / x)) * x. [para(1535(a,1),3400(a,1,1,2,2))]. given #3897 (H,wt=26): 4080 T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * (L(y,x,x) / x)) * x. [para(1364(a,1),4079(a,2,1,2,1))]. given #3898 (H,wt=25): 4081 T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * (y * (1 / x))) * x. [para(1381(a,1),4080(a,2,1,2))]. given #3899 (H,wt=31): 3438 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ u) = ((x * y) * z) * ((1 / ((x * y) * z)) * u). [para(123(a,1),3374(a,1,2,1,2))]. given #3900 (H,wt=31): 3772 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3739(a,1),741(a,1,1))]. given #3901 (H,wt=21): 4082 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(3738(a,1),3772(a,1,2)),flip(a)]. given #3902 (H,wt=17): 4083 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(227,a,26,a,b,4082,a)]. given #3903 (H,wt=17): 4084 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(3717(a,1),4083(a,1,1)),flip(a)]. given #3904 (H,wt=31): 3923 x \ K((1 / y) * z,z \ ((1 / y) \ 1)) = (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1). [para(1064(a,1),3690(a,2,2))]. given #3905 (H,wt=31): 4044 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(306,a,4035,a),flip(a)]. given #3906 (H,wt=27): 4085 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),4044(a,2,2,1,2,1))]. given #3907 (H,wt=27): 4086 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(85,a,4085,a)]. given #3908 (H,wt=25): 4087 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),4086(a,1,1,2,1,2,2)),flip(a)]. given #3909 (H,wt=31): 4050 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(4048(a,1),2440(a,1,1)),flip(a)]. given #3910 (H,wt=23): 4088 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(4048(a,1),4050(a,1,2,1)),flip(a)]. given #3911 (H,wt=23): 4089 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3133(a,1),4088(a,1,1,2))]. given #3912 (H,wt=23): 4090 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3133(a,1),4089(a,2,2,1,2))]. given #3913 (H,wt=15): 4091 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(3298,a,4090,a),flip(a)]. given #3914 (H,wt=31): 4067 (x * ((y \ 1) \ 1)) \ ((1 / (1 / x)) * y) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). [para(313(a,1),1134(a,1,2))]. given #3915 (H,wt=31): 4068 ((1 / 1) \ (x * y)) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (z * (x * y))) \ (y \ (x \ 1)). [para(340(a,1),1787(a,1,1))]. given #3916 (H,wt=29): 4093 (1 \ (x * y)) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (z * (x * y))) \ (y \ (x \ 1)). [para(59(a,1),4068(a,1,1,1))]. given #3917 (H,wt=27): 4094 (1 / (x * (y * z))) \ (z \ (y \ 1)) = (y * z) \ (((z \ (y \ 1)) \ 1) * x). [para(50(a,1),4093(a,1,1)),flip(a)]. given #3918 (H,wt=31): 4069 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(182(a,2),1813(a,1,2,1,1))]. given #3919 (H,wt=27): 4096 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(227,a,2657,a(flip),b,4069,a)]. given #3920 (H,wt=27): 4097 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(3718(a,1),4096(a,1,2,1))]. given #3921 (H,wt=31): 4072 (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1) = ((1 / y) * z) * ((((z \ y) / x) \ 1) \ 1). [para(1064(a,1),2122(a,1,2))]. given #3922 (H,wt=31): 4077 (x * ((1 / 1) \ (y * z))) * ((z \ (y \ 1)) \ 1) = (1 / (x / (z \ (y \ 1)))) \ (y * z). [para(340(a,1),3395(a,1,1,2))]. given #3923 (H,wt=29): 4098 (x * (1 \ (y * z))) * ((z \ (y \ 1)) \ 1) = (1 / (x / (z \ (y \ 1)))) \ (y * z). [para(59(a,1),4077(a,1,1,2,1))]. given #3924 (H,wt=27): 4099 (1 / (x / (y \ (z \ 1)))) \ (z * y) = (x * (z * y)) * ((y \ (z \ 1)) \ 1). [para(50(a,1),4098(a,1,1,2)),flip(a)]. given #3925 (H,wt=27): 4101 (1 / ((1 / x) \ (y * z))) \ (y * z) = (x * (y * z)) * ((z \ (y \ 1)) \ 1). [para(340(a,1),4099(a,1,1,2))]. given #3926 (H,wt=27): 4102 ((1 / (x * y)) * (1 / z)) \ (x * y) = (z * (x * y)) * ((y \ (x \ 1)) \ 1). [para(313(a,1),4101(a,1,1))]. given #3927 (H,wt=27): 4103 (((x * y) \ (1 / z)) \ 1) * (x * y) = (z * (x * y)) * ((y \ (x \ 1)) \ 1). [hyper(227,a,1405,a(flip),b,4102,a(flip)),flip(a)]. given #3928 (H,wt=27): 4104 (x * (((y * z) \ 1) \ 1)) * (y * z) = (x * (y * z)) * ((z \ (y \ 1)) \ 1). [para(320(a,1),4103(a,1,1))]. given #3929 (H,wt=31): 4078 (x * ((1 / (1 / y)) * z)) * (y * ((z \ 1) \ 1)) = (x / (z \ (1 / y))) / (z \ (1 / y)). [para(313(a,1),3396(a,1,1,2))]. given #3930 (H,wt=31): 4092 (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). [para(1058(a,1),4067(a,1,2,1))]. given #3931 (H,wt=29): 4106 (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = (y \ (1 / x)) * (1 / (y \ (1 / x))). [para(50(a,1),4092(a,2,1))]. given #3932 (H,wt=31): 4105 (x * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)) = (x / (z \ (1 / y))) / (z \ (1 / y)). [para(1058(a,1),4078(a,1,1,2,1))]. given #3933 (H,wt=32): 846 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(635(a,1),841(a,1,2))]. given #3934 (H,wt=25): 4107 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(227,a,2753,a(flip),b,846,a(flip)),flip(a)]. given #3935 (H,wt=29): 4109 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(4107(a,1),1491(a,1,1)),flip(a)]. given #3936 (H,wt=29): 4110 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(227,a,715,a(flip),b,4109,a)]. given #3937 (H,wt=22): 4111 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(227,a,2787,a(flip),b,4110,a(flip))]. given #3938 (H,wt=32): 847 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(242(a,1),429(a,1,1,1)),flip(a)]. given #3939 (H,wt=27): 4112 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(227,a,500,a(flip),b,847,a)]. given #3940 (H,wt=23): 4113 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1641,a,4112,a)]. given #3941 (H,wt=23): 4114 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),4113(a,1,2)),flip(a)]. given #3942 (H,wt=19): 4115 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2920(a,1),4114(a,1,1,1)),flip(a)]. given #3943 (H,wt=11): 4116 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,92,a(flip),b,4115,a)]. given #3944 (H,wt=11): 4117 x / K(y,x) = K(y,x) \ x. [hyper(85,a,4116,a)]. given #3945 (H,wt=13): 4118 (K(x,y) \ 1) \ y = y * K(x,y). [hyper(72,a,4116,a(flip),b,1999,a)]. given #3946 (H,wt=14): 4119 x / K(y,x) != z | K(y,x) \ x = z. [para(4116(a,1),293(a,1,1)),flip(b)]. given #3947 (H,wt=18): 4120 (K(x,y) \ y) * K(x,y) != z * u | z \ y = u. [para(4117(a,1),278(a,1,1))]. given #3948 (H,wt=32): 2422 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),2418(a,2,2,1,2,2))]. given #3949 (H,wt=28): 4121 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1641,a,2422,a),flip(a)]. given #3950 (H,wt=26): 4122 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(849(a,1),4121(a,2,2))]. given #3951 (H,wt=21): 4123 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(464,a,4122,a)]. given #3952 (H,wt=32): 2441 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(863,a,2439,a),flip(a)]. given #3953 (H,wt=32): 2647 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),2645(a,1,1,2,2))]. given #3954 (H,wt=28): 4124 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(2446(a,1),2647(a,2,1))]. given #3955 (H,wt=26): 4125 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(2611(a,1),4124(a,2,1,1))]. given #3956 (H,wt=21): 4126 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(227,a,30,a,b,4125,a),flip(a)]. given #3957 (H,wt=24): 4127 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(4125(a,2),506(a,1))]. given #3958 (H,wt=25): 4128 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [hyper(227,a,3445,a(flip),b,4126,a)]. given #3959 (H,wt=32): 2833 (x * y) * R((x * y) \ (z * y),u,w) != v5 * v6 | v5 \ ((x * R(x \ z,u,w)) * y) = v6. [para(2777(a,2),457(a,1))]. given #3960 (H,wt=32): 3801 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(419(a,1),3798(a,1,2)),flip(a)]. given #3961 (H,wt=28): 4129 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3768(a,1),3801(a,1,1))]. given #3962 (H,wt=24): 4130 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3616(a,1),4129(a,1,1))]. given #3963 (H,wt=22): 4131 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3800,a,4130,a)]. given #3964 (H,wt=32): 3960 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3959(a,2),95(a,1,2,2))]. given #3965 (H,wt=33): 1616 ((x \ ((x / y) * z)) \ 1) * (x \ ((x / y) * z)) = K(x \ ((z / x) \ y),x \ ((x / y) * z)). [para(1592(a,1),182(a,1,1)),flip(a)]. given #3966 (H,wt=31): 4133 K(x \ ((y / x) \ z),x \ ((x / z) * y)) = (x \ ((y / x) \ z)) * (x \ ((x / z) * y)). [para(1592(a,1),1616(a,1,1)),flip(a)]. given #3967 (H,wt=33): 1677 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(72,a,89,a(flip),b,719,a),flip(a)]. given #3968 (H,wt=33): 1825 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(539(a,1),473(a,1,2))]. given #3969 (H,wt=33): 1827 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(540(a,1),473(a,1,2))]. given #3970 (H,wt=33): 1846 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1341(a,1),827(a,1,1,2))]. given #3971 (H,wt=32): 4136 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2674(a,1),1846(a,1,1))]. given #3972 (H,wt=27): 4137 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2078(a,1),4136(a,1,1))]. given #3973 (H,wt=24): 4138 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1341(a,1),4137(a,2,1))]. given #3974 (H,wt=27): 4140 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(4138(a,2),773(a,1))]. given #3975 (H,wt=33): 2027 T(x / ((y * (z \ 1)) * (y * (z \ 1))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). [hyper(227,a,341,a(flip),b,2025,a)]. given #3976 (H,wt=33): 2086 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1955(a,1),171(a,1,1,2))]. given #3977 (H,wt=31): 4142 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(2302(a,1),2086(a,1,1))]. given #3978 (H,wt=29): 4143 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(2326(a,1),4142(a,1,2))]. given #3979 (H,wt=19): 4144 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(825,a,4143,a),flip(a)]. given #3980 (H,wt=22): 4145 a(x,T(y,x),R(T(x,y),z,u)) != w | a(R(x,z,u),y,x) = w. [para(4143(a,1),825(a,1))]. given #3981 (H,wt=33): 2791 ((1 / x) * y) * (1 / ((y \ x) / T(z,z \ (y \ x)))) = T(z \ (y \ x),z) \ ((1 / x) * y). [para(1941(a,1),2773(a,2,1))]. given #3982 (H,wt=27): 4146 T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * (1 / (x \ (y \ z))). [para(190(a,1),2791(a,1,2,2)),flip(a)]. given #3983 (H,wt=27): 4147 T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * ((1 / (y \ z)) * x). [para(313(a,1),4146(a,2,2))]. given #3984 (H,wt=27): 4148 T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * (((1 / z) * y) * x). [para(313(a,1),4147(a,2,2,1))]. given #3985 (H,wt=25): 4149 T((x \ y) \ z,z) / (x \ y) = ((1 / y) * x) * (((1 / y) * x) * z). [hyper(1662,a,4148,a)]. given #3986 (H,wt=33): 3328 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(732(a,1),3325(a,1,1,1,1))]. given #3987 (H,wt=31): 4150 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(732(a,1),3328(a,2,1))]. given #3988 (H,wt=33): 3410 (x \ (y \ 1)) / ((y * (((y \ 1) * x) * (y * ((y \ 1) * x)))) \ (y \ 1)) = y * ((y \ 1) * x). [hyper(73,a,950,a(flip),b,3409,a)]. given #3989 (H,wt=30): 4151 (x \ (y \ 1)) / ((y * (((y \ 1) * x) * L(x,y,y))) \ (y \ 1)) = y * ((y \ 1) * x). [para(1389(a,1),3410(a,1,2,1,2,2))]. given #3990 (H,wt=25): 4152 (x \ (y \ 1)) / ((y * ((y \ x) * x)) \ (y \ 1)) = y * ((y \ 1) * x). [para(2708(a,1),4151(a,1,2,1,2))]. given #3991 (H,wt=21): 4153 (x \ (y \ 1)) / ((x * x) \ (y \ 1)) = y * ((y \ 1) * x). [para(938(a,1),4152(a,1,2,1))]. given #3992 (H,wt=21): 4154 (1 / (x \ (y \ 1))) \ (y * (x * x)) = y * ((y \ 1) * x). [hyper(573,a,4153,a)]. given #3993 (H,wt=21): 4156 ((1 / 1) \ (x * y)) \ (x * (y * y)) = x * ((x \ 1) * y). [para(340(a,1),4154(a,1,1))]. given #3994 (H,wt=19): 4157 (1 \ (x * y)) \ (x * (y * y)) = x * ((x \ 1) * y). [para(59(a,1),4156(a,1,1,1))]. given #3995 (H,wt=17): 4158 (x * y) \ (x * (y * y)) = x * ((x \ 1) * y). [para(50(a,1),4157(a,1,1))]. given #3996 (H,wt=12): 4160 x \ L(y,y,x) = (x \ 1) * y. [hyper(554,a,4158,a)]. given #3997 (H,wt=9): 4161 L(L(x,x,y),y,y) = x. [hyper(1357,a,4160,a)]. given #3998 (H,wt=9): 4163 L(x,y,y) = L(x,x,y). [para(4161(a,1),1386(a,1,1))]. given #3999 (H,wt=12): 4162 x * L(y,y,x) = (1 / x) \ y. [hyper(72,a,4161,a(flip),b,1021,a),flip(a)]. given #4000 (H,wt=14): 4164 x * (y * L(y,x,x)) = (x * y) * y. [para(4161(a,1),470(a,1,2)),flip(a)]. given #4001 (H,wt=14): 4165 L(x,x,y * x) = y * ((x \ y) \ 1). [hyper(227,a,1701,a(flip),b,4163,a(flip))]. given #4002 (H,wt=14): 4166 L(1 / x,1 / x,y) = y \ (y / x). [hyper(227,a,1371,a(flip),b,4163,a(flip))]. given #4003 (H,wt=14): 4168 x \ ((x * y) * y) = y * L(y,x,x). [hyper(78,a,4164,a)]. given #4004 (H,wt=15): 4171 L(1 / x,1 / x,y) = 1 / L(x,y,y). [hyper(227,a,1033,a,b,4166,a)]. given #4005 (H,wt=15): 4172 L(1 / x,1 / x,y) = 1 / L(x,x,y). [para(4163(a,1),4171(a,2,2))]. given #4006 (H,wt=20): 4167 (x * y) * L(L(y,x,x),z,u) = x * (y * L(y,z,u)). [para(4163(a,2),470(a,1,2,1))]. given #4007 (H,wt=24): 4169 (((1 / x) * (x * (y * x))) * y) * x = (y * x) * L(y * x,x,x). [hyper(17,a,120,a,b,4164,a),flip(a)]. given #4008 (H,wt=23): 4175 (((1 / x) * (x * (y * x))) * y) * x = (y * x) * (y / (1 / x)). [para(1314(a,1),4169(a,2,2))]. given #4009 (H,wt=23): 4176 (((1 / x) * (x * (y * x))) * y) * x = y * (x * (y / (1 / x))). [hyper(227,a,2134,a(flip),b,4175,a)]. given #4010 (H,wt=20): 4177 (L(x * y,y,y) * x) * y = x * (y * (x / (1 / y))). [para(1021(a,1),4176(a,1,1,1))]. given #4011 (H,wt=19): 4178 ((x / (1 / y)) * x) * y = x * (y * (x / (1 / y))). [para(1314(a,1),4177(a,1,1,1))]. given #4012 (H,wt=21): 4181 1 / (((x / (1 / y)) * x) * y) = (y \ (1 / (y * x))) / x. [para(4178(a,2),3862(a,1,2))]. given #4013 (H,wt=24): 4170 (x \ y) \ ((z * y) / (x \ y)) = ((x \ y) \ z) * L(x,x,y * x). [para(4165(a,2),1873(a,1,2)),flip(a)]. given #4014 (H,wt=28): 4180 x * L(y / (1 / (y \ x)),y \ x,y) = ((y / (1 / (y \ x))) * y) * (y \ x). [hyper(227,a,461,a,b,4178,a),flip(a)]. given #4015 (H,wt=28): 4182 x * L(y / (1 / (y \ x)),y \ x,y) = ((y / ((1 / x) * y)) * y) * (y \ x). [para(313(a,1),4180(a,2,1,1,2))]. given #4016 (H,wt=28): 4183 x * L(y / (1 / (y \ x)),y \ x,y) = ((y \ (y / (1 / x))) * y) * (y \ x). [para(944(a,1),4182(a,2,1,1))]. given #4017 (H,wt=33): 3437 ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = T(y * x,(x \ (y \ 1)) \ z) \ 1. [hyper(72,a,3374,a(flip),b,659,a)]. given #4018 (H,wt=31): 4184 ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = (1 / T(x \ (y \ 1),z)) \ 1. [para(2696(a,1),3437(a,2,1))]. given #4019 (H,wt=27): 4185 ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = T(x \ (y \ 1),z). [hyper(227,a,65,a(flip),b,4184,a)]. given #4020 (H,wt=33): 3517 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(726(a,1),2829(a,2,2,1))]. given #4021 (H,wt=31): 4187 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(93(a,1),3517(a,1,1))]. given #4022 (H,wt=29): 4188 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(93(a,1),4187(a,1,2,1,1))]. given #4023 (H,wt=33): 3654 (1 / ((x / y) \ y)) \ ((y \ (1 / (y / x))) * z) = K(((x / y) \ y) \ 1,(x / y) \ y) * z. [para(3436(a,1),3628(a,1,2,1))]. given #4024 (H,wt=33): 3680 (x * y) * ((1 / (x * y)) * (K(z,z \ 1) \ 1)) = (z * (1 / ((x * y) * z))) \ (y \ (x \ 1)). [para(3665(a,1),2093(a,1,1)),flip(a)]. given #4025 (H,wt=33): 3781 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1609(a,1),3750(a,1,2,2))]. given #4026 (H,wt=29): 4190 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2254(a,1),3781(a,1,1))]. given #4027 (H,wt=25): 4191 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3126(a,1),4190(a,1,1))]. given #4028 (H,wt=21): 4192 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(65(a,1),4191(a,2,2))]. given #4029 (H,wt=23): 4196 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(4192(a,1),3741(a,1,2))]. given #4030 (H,wt=33): 3866 ((x \ 1) \ ((y \ x) \ 1)) \ (1 / ((y \ x) \ 1)) = ((y \ x) \ 1) \ (1 / (((x \ y) \ 1) \ x)). [para(1406(a,2),3861(a,2,2,2))]. given #4031 (H,wt=29): 4197 ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = ((x \ 1) \ 1) \ (1 / ((x \ y) \ 1)). [para(260(a,1),3866(a,1,1)),flip(a)]. given #4032 (H,wt=25): 4198 ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = ((x \ 1) \ 1) \ (x \ y). [para(62(a,1),4197(a,2,2))]. given #4033 (H,wt=25): 4200 ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = (x \ 1) * ((x \ 1) * y). [hyper(227,a,3380,a(flip),b,4198,a)]. given #4034 (H,wt=25): 4202 ((x \ y) \ 1) \ (1 / (((x \ y) \ 1) * y)) = (x \ 1) * ((x \ 1) * y). [para(1406(a,1),4200(a,1,2,2))]. given #4035 (H,wt=33): 4022 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(227,a,103,a,b,4020,a(flip)),flip(a)]. given #4036 (H,wt=33): 4041 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2778(a,1),4039(a,1,2)),flip(a)]. given #4037 (H,wt=33): 4134 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(182(a,2),1825(a,1,2,1,1))]. given #4038 (H,wt=33): 4135 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(182(a,2),1827(a,1,2,1,1))]. given #4039 (H,wt=33): 4141 T(x / (y * ((z \ 1) * (y * (z \ 1)))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). [para(940(a,1),2027(a,1,1,2))]. given #4040 (H,wt=29): 4205 T(x / (y * (z \ (y / z))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). [para(1361(a,1),4141(a,1,1,2,2))]. given #4041 (H,wt=33): 4189 ((1 / x) * (y / x)) \ ((x \ (1 / (x / y))) * z) = K(((y / x) \ x) \ 1,(y / x) \ x) * z. [para(313(a,1),3654(a,1,1))]. given #4042 (H,wt=31): 4206 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(((y / x) \ x) \ 1,(y / x) \ x) * z. [para(637(a,1),4189(a,1,1))]. given #4043 (H,wt=31): 4207 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x \ (1 / (x / y)),(y / x) \ x) * z. [para(3436(a,1),4206(a,2,1,1))]. given #4044 (H,wt=33): 4203 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(227,a,2826,a(flip),b,4134,a)]. given #4045 (H,wt=29): 4208 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1819(a,1),4203(a,2,1))]. given #4046 (H,wt=29): 4209 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(3718(a,1),4208(a,1,2,1))]. given #4047 (H,wt=27): 4210 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(3542(a,1),4209(a,1,2,1))]. given #4048 (H,wt=33): 4204 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(227,a,2798,a(flip),b,4135,a)]. given #4049 (H,wt=29): 4211 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1695(a,1),4204(a,2,1))]. given #4050 (H,wt=29): 4212 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(3718(a,1),4211(a,1,2,1))]. given #4051 (H,wt=27): 4213 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(3542(a,1),4212(a,1,2,1))]. given #4052 (H,wt=29): 4214 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(3544(a,1),4213(a,1,2,1))]. given #4053 (H,wt=34): 1479 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(242(a,1),723(a,1,1,1)),flip(a)]. given #4054 (H,wt=29): 4215 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(227,a,502,a(flip),b,1479,a)]. given #4055 (H,wt=25): 4216 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(2374,a,4215,a)]. given #4056 (H,wt=28): 4217 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1053(a,1),4216(a,2,1,1))]. given #4057 (H,wt=27): 4218 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3812(a,1),4217(a,1,2,2))]. given #4058 (H,wt=19): 4219 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(588,a,4218,a),flip(a)]. given #4059 (H,wt=11): 4220 K(x,(y \ 1) \ 1) = K(x,y). [hyper(227,a,741,a(flip),b,4219,a),flip(a)]. given #4060 (H,wt=11): 4222 K(x,1 / y) = K(x,y \ 1). [para(65(a,1),4220(a,1,2,1)),flip(a)]. given #4061 (H,wt=11): 4224 K(x,1 / (1 / y)) = K(x,y). [para(143(a,1),4220(a,1,2)),flip(a)]. given #4062 (H,wt=13): 4221 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(227,a,4084,a,b,4220,a(flip)),flip(a)]. given #4063 (H,wt=13): 4225 1 * K(x,y \ 1) = K(x,1 / y). [hyper(227,a,11,a,b,4222,a),flip(a)]. given #4064 (H,wt=14): 4237 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4225(a,1),74(a,1)),flip(b)]. given #4065 (H,wt=15): 4223 K(x,(y * (z \ 1)) \ 1) = K(x,z / y). [para(125(a,1),4220(a,1,2,1))]. given #4066 (H,wt=15): 4234 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(3649(a,1),4221(a,1,1)),flip(a)]. given #4067 (H,wt=15): 4235 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(3651(a,1),4221(a,1,1))]. given #4068 (H,wt=15): 4239 K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). [para(123(a,1),4223(a,1,2))]. given #4069 (H,wt=17): 4230 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(4222(a,2),2225(a,1,2))]. given #4070 (H,wt=17): 4236 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(3694(a,2),4221(a,1,1))]. given #4071 (H,wt=18): 4238 K((x / y) \ x,1 / z) != u | K(y,z \ 1) = u. [para(768(a,2),4237(a,1))]. given #4072 (H,wt=19): 4232 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3840(a,1),4224(a,1,2))]. given #4073 (H,wt=19): 4240 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3714(a,1),4234(a,1,1))]. given #4074 (H,wt=19): 4241 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(3722(a,1),4236(a,1,1,1))]. given #4075 (H,wt=22): 4227 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(227,a,2789,a,b,4222,a(flip)),flip(a)]. given #4076 (H,wt=22): 4228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(72,a,4222,a(flip),b,2789,a),flip(a)]. given #4077 (H,wt=23): 4244 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(227,a,1795,a,b,4240,a(flip)),flip(a)]. given #4078 (H,wt=24): 4245 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [hyper(227,a,2954,a,b,4228,a)]. given #4079 (H,wt=27): 4246 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(4245(a,2),282(a,1,2)),flip(b)]. given #4080 (H,wt=32): 4243 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(227,a,3960,a,b,4232,a(flip)),flip(a)]. given #4081 (H,wt=34): 1755 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(30(a,2),1608(a,1,1,1,1)),flip(a)]. given #4082 (H,wt=34): 3117 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(3099(a,2),720(a,1,1))]. given #4083 (H,wt=27): 4247 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(3118,a,3117,a),flip(a)]. given #4084 (H,wt=34): 3493 (1 / x) * ((x \ 1) \ ((y * y) \ (1 / z))) != u * w | u \ (x * (1 / ((z * (y * y)) * x))) = w. [para(3423(a,2),457(a,1))]. given #4085 (H,wt=34): 3497 (x \ (y \ 1)) * ((y * x) * ((x \ (y \ 1)) \ z)) != u * w | u \ (((x \ (y \ 1)) \ 1) * z) = w. [para(3494(a,2),457(a,1))]. given #4086 (H,wt=34): 3674 (x * (1 / (y * x))) * ((K(x,x \ 1) * y) * z) = L(z,x * (1 / (y * x)),x * (1 / (y * x))). [para(3650(a,1),1396(a,1,2,1))]. given #4087 (H,wt=34): 3698 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(3638(a,1),28(a,2,1)),flip(a)]. given #4088 (H,wt=35): 996 (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = ((y \ x) \ 1) * ((x \ 1) * ((y \ 1) \ 1)). [para(257(a,1),940(a,1,1)),flip(a)]. given #4089 (H,wt=31): 4248 (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = ((y \ x) \ 1) * ((y \ x) \ 1). [para(257(a,1),996(a,2,2))]. given #4090 (H,wt=29): 4249 (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = (y \ x) \ (1 / (y \ x)). [hyper(227,a,1257,a(flip),b,4248,a)]. given #4091 (H,wt=27): 4250 (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = (x \ y) * (x \ y). [hyper(227,a,3983,a(flip),b,4249,a)]. given #4092 (H,wt=23): 4251 (x \ 1) * (((y \ 1) \ 1) * ((y \ x) \ 1)) = (x \ y) * (x \ y). [para(257(a,1),4250(a,1,2,2))]. given #4093 (H,wt=21): 4252 (x \ 1) * (y * ((1 * (x \ 1)) * y)) = (x \ y) * (x \ y). [para(4001(a,1),4251(a,1,2))]. given #4094 (H,wt=19): 4253 (x \ 1) * (y * ((x \ 1) * y)) = (x \ y) * (x \ y). [para(11(a,1),4252(a,1,2,2,1))]. given #4095 (H,wt=25): 4254 ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = z \ (z / ((x \ y) * (x \ y))). [para(4253(a,1),997(a,1,2,2)),flip(a)]. given #4096 (H,wt=25): 4255 ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = z \ (z * (((y / x) * y) \ x)). [para(3992(a,1),4254(a,2,2))]. given #4097 (H,wt=21): 4256 ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = ((y / x) * y) \ x. [hyper(227,a,13,a(flip),b,4255,a)]. given #4098 (H,wt=21): 4257 ((x \ 1) * y) \ (y \ ((x \ 1) \ 1)) = ((y / x) * y) \ x. [para(123(a,1),4256(a,1,2))]. given #4099 (H,wt=35): 1435 (((1 / x) * y) * z) * ((z \ (y \ x)) * u) != w | L(u,((1 / x) * y) * z,((1 / x) * y) * z) = w. [para(314(a,1),1390(a,1,2,1))]. given #4100 (H,wt=35): 1723 (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = (((z \ (y / x)) \ 1) \ (x * (y \ 1))) \ 1. [para(752(a,1),970(a,1,1,1)),flip(a)]. given #4101 (H,wt=35): 1729 K((x \ 1) * (1 / (y / z)),(z * (y \ 1)) \ x) = (((z * (y \ 1)) \ x) \ 1) * ((z * (y \ 1)) \ x). [para(1123(a,1),182(a,1,1))]. given #4102 (H,wt=35): 2215 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2213(a,1),1664(a,1,1)),flip(a)]. given #4103 (H,wt=29): 4258 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1706(a,1),2215(a,2,2))]. given #4104 (H,wt=27): 4259 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2213(a,1),4258(a,1,2,1,2))]. given #4105 (H,wt=23): 4260 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(32(a,2),4259(a,1,2,1))]. given #4106 (H,wt=19): 4261 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2920(a,1),4260(a,1,2,1)),flip(a)]. given #4107 (H,wt=35): 2293 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2129(a,1),2292(a,1,2,1,2))]. given #4108 (H,wt=23): 4262 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),2293(a,1,2,1)),flip(a)]. given #4109 (H,wt=35): 3299 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3259(a,1),510(a,1,1))]. given #4110 (H,wt=35): 3420 (x * (1 / (y * x))) / (x \ (z \ (x * (1 / (y * x))))) = (z * (1 / (y / x))) / (x * (1 / (y * x))). [para(3416(a,1),1175(a,1,1,2)),flip(a)]. given #4111 (H,wt=35): 3449 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(2491(a,1),3445(a,1,1,2)),flip(a)]. given #4112 (H,wt=29): 4264 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(2048(a,1),3449(a,2,1))]. given #4113 (H,wt=25): 4265 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(227,a,3879,a(flip),b,4264,a)]. given #4114 (H,wt=17): 4266 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(227,a,3197,a(flip),b,4265,a(flip)),flip(a)]. given #4115 (H,wt=15): 4268 K(x / y,y / x) = K(y \ x,x \ y). [hyper(227,a,3447,a(flip),b,4266,a(flip)),flip(a)]. given #4116 (H,wt=17): 4269 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(3536,a,4268,a)]. given #4117 (H,wt=21): 4270 (x / y) * (1 / (z * (x / y))) = K(y \ x,x \ y) / z. [para(4269(a,1),3664(a,1,1)),flip(a)]. given #4118 (H,wt=21): 4271 (x \ (y / z)) * (1 / (y / z)) = x \ K(z \ y,y \ z). [para(4269(a,1),3683(a,1,2)),flip(a)]. given #4119 (H,wt=21): 4273 (x * (y \ 1)) * ((y / x) / z) = K(x \ y,y \ x) / z. [hyper(227,a,3363,a,b,4270,a(flip)),flip(a)]. given #4120 (H,wt=27): 4272 ((1 / x) * y) * (T(((y / x) \ 1) \ 1,y) \ z) = K(x \ y,y \ x) * z. [para(4269(a,1),3896(a,2,1))]. given #4121 (H,wt=23): 4275 ((1 / x) * y) * (((y \ x) \ 1) \ z) = K(x \ y,y \ x) * z. [para(1605(a,1),4272(a,1,2,1))]. given #4122 (H,wt=27): 4274 x \ K(x \ (x * y),(x * y) \ x) = (y * (x \ 1)) * (1 / ((x * y) / x)). [para(1258(a,1),4271(a,1,1)),flip(a)]. given #4123 (H,wt=23): 4276 (x * (y \ 1)) * (1 / ((y * x) / y)) = y \ K(x,(y * x) \ y). [para(13(a,1),4274(a,1,2,1)),flip(a)]. given #4124 (H,wt=21): 4278 (x * (y \ 1)) * (1 / ((y * x) / y)) = y \ K(x,x \ 1). [para(3525(a,1),4276(a,2,2))]. given #4125 (H,wt=21): 4279 (x * (y \ 1)) * (1 / ((y * x) / y)) = (y \ x) * (1 / x). [hyper(227,a,3683,a(flip),b,4278,a)]. given #4126 (H,wt=19): 4281 (x * (y \ 1)) * ((y / x) / y) = (y \ x) * (1 / x). [para(1288(a,1),4279(a,1,2))]. given #4127 (H,wt=17): 4282 K(x \ y,y \ x) / y = (y \ x) * (1 / x). [hyper(227,a,4273,a(flip),b,4281,a(flip)),flip(a)]. given #4128 (H,wt=17): 4283 ((x \ y) * (1 / y)) * x = K(y \ x,x \ y). [para(4282(a,1),16(a,1,1))]. given #4129 (H,wt=20): 4284 ((x \ y) * (1 / y)) * x != z | K(y \ x,x \ y) = z. [para(4282(a,1),207(a,1,1)),flip(b)]. given #4130 (H,wt=35): 3648 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(2620(a,1),3610(a,1,2))]. given #4131 (H,wt=29): 4285 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(1793(a,1),3648(a,1,2,1))]. given #4132 (H,wt=23): 4286 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(4073(a,1),4285(a,1,1))]. given #4133 (H,wt=23): 4287 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(4286(a,1),16(a,1,1))]. given #4134 (H,wt=30): 4288 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(4287(a,1),3698(a,1,2))]. given #4135 (H,wt=14): 4289 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(282,a,4288,a)]. given #4136 (H,wt=22): 4291 L(K(x,1 / y),T(z,u) / z,K(z \ 1,z)) = K(x,y \ 1). [hyper(227,a,4222,a(flip),b,4289,a)]. given #4137 (H,wt=35): 3833 (1 / ((1 / x) * y)) \ (((1 / z) \ ((1 / x) * y)) \ 1) = ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1). [para(344(a,1),3825(a,2,2,1,1))]. given #4138 (H,wt=35): 4132 (((x \ ((x / y) * z)) * 1) \ 1) * (x \ ((x / y) * z)) = K(x \ ((z / x) \ y),x \ ((x / y) * z)). [para(12(a,2),1616(a,1,1,1))]. given #4139 (H,wt=35): 4174 (x \ y) * L(L(L(y,x,x),x \ 1,x \ 1),z,u) = (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)). [para(1349(a,1),4167(a,1,1))]. given #4140 (H,wt=35): 4179 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (((1 / x) / (1 / (x * y))) * (1 / x)) * (x * y). [hyper(227,a,2247,a,b,4178,a),flip(a)]. given #4141 (H,wt=35): 4263 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(1757,a,3299,a)]. given #4142 (H,wt=35): 4292 (((x \ y) \ 1) \ 1) \ (((1 / z) \ ((1 / y) * x)) \ 1) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). [para(1064(a,1),3833(a,1,1))]. given #4143 (H,wt=31): 4295 (((x \ y) \ 1) \ 1) \ ((z / (x \ y)) \ 1) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). [para(342(a,1),4292(a,1,2,1))]. given #4144 (H,wt=31): 4296 (((x \ y) \ 1) \ 1) \ ((x \ y) * (z \ 1)) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). [para(125(a,1),4295(a,1,2))]. given #4145 (H,wt=29): 4297 ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = K(y \ x,(y \ x) \ 1) * (z \ 1). [hyper(227,a,3678,a(flip),b,4296,a(flip))]. given #4146 (H,wt=27): 4298 ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = K(y \ x,x \ y) * (z \ 1). [para(3526(a,1),4297(a,2,1))]. given #4147 (H,wt=35): 4293 K(x \ ((y / x) \ z),x \ ((x / z) * y)) / (x \ ((x / z) * y)) = T((x \ ((x / z) * y)) \ 1,1). [hyper(73,a,4132,a(flip),b,1194,a)]. given #4148 (H,wt=35): 4294 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = ((1 / ((1 / (x * y)) * x)) * (1 / x)) * (x * y). [para(325(a,1),4179(a,2,1,1))]. given #4149 (H,wt=31): 4299 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = ((1 / (1 / y)) * (1 / x)) * (x * y). [para(335(a,1),4294(a,2,1,1,2))]. given #4150 (H,wt=27): 4301 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (1 / (x / y)) * (x * y). [para(351(a,1),4299(a,2,1))]. given #4151 (H,wt=36): 1775 (((x * y) \ x) \ 1) * L(((x * y) \ x) \ 1,z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). [para(1026(a,2),1738(a,2,2,1))]. given #4152 (H,wt=36): 3847 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2577(a,1),3577(a,2,1))]. given #4153 (H,wt=30): 4303 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(4030(a,1),3847(a,1,1))]. given #4154 (H,wt=24): 4304 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(1706(a,1),4303(a,2,1,2))]. given #4155 (H,wt=36): 4302 (x * ((y \ x) \ 1)) * L(((x * y) \ x) \ 1,z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). [para(970(a,1),1775(a,1,1))]. given #4156 (H,wt=36): 4305 (x * ((y \ x) \ 1)) * L(x * ((y \ x) \ 1),z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). [para(970(a,1),4302(a,1,2,1))]. given #4157 (H,wt=36): 4306 x * (((y \ x) \ 1) * L(x * ((y \ x) \ 1),z,u)) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). [hyper(2375,a,4305,a)]. given #4158 (H,wt=32): 4307 ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = x * ((y \ x) \ L(x / (y \ x),z,u)). [para(1694(a,1),4306(a,1,2)),flip(a)]. given #4159 (H,wt=28): 4308 ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = x * ((y \ x) \ L(y,z,u)). [para(62(a,1),4307(a,2,2,2,1))]. given #4160 (H,wt=37): 2911 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(732(a,1),2902(a,1,1,2,1))]. given #4161 (H,wt=32): 4309 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(4227(a,1),2911(a,1,1)),flip(a)]. given #4162 (H,wt=30): 4310 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(227,a,1858,a(flip),b,4309,a)]. given #4163 (H,wt=30): 4311 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(227,a,3157,a,b,4310,a(flip)),flip(a)]. given #4164 (H,wt=30): 4312 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(227,a,42,a,b,4311,a(flip)),flip(a)]. given #4165 (H,wt=22): 4313 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(3243(a,1),4312(a,1,1)),flip(a)]. given #4166 (H,wt=22): 4314 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(72,a,1910,a,b,4313,a)]. given #4167 (H,wt=18): 4316 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(227,a,1689,a(flip),b,4314,a(flip)),flip(a)]. given #4168 (H,wt=23): 4318 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(227,a,4227,a,b,4316,a),flip(a)]. given #4169 (H,wt=23): 4319 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2880(a,2),4318(a,1,2))]. given #4170 (H,wt=24): 4317 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(4314(a,1),3043(a,1,1)),flip(a)]. given #4171 (H,wt=24): 4320 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(4317(a,1),4140(a,1))]. given #4172 (H,wt=37): 3364 (x \ ((x / y) * z)) * (1 / (u * (x \ ((x / y) * z)))) = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [para(1592(a,1),3358(a,1,1)),flip(a)]. given #4173 (H,wt=35): 4321 K(x \ ((x / y) * z),((x / y) * z) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [hyper(227,a,3668,a(flip),b,3364,a(flip)),flip(a)]. given #4174 (H,wt=37): 3639 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3602(a,1),466(a,1,1))]. given #4175 (H,wt=31): 4322 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3602(a,1),3639(a,1,2)),flip(a)]. given #4176 (H,wt=27): 4323 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(4322(a,2),474(a,1))]. given #4177 (H,wt=37): 3682 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(3675(a,1),498(a,1,1))]. given #4178 (H,wt=31): 4324 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(3675(a,1),3682(a,1,2)),flip(a)]. given #4179 (H,wt=27): 4325 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(4324(a,2),506(a,1))]. given #4180 (H,wt=38): 2150 ((1 / ((x \ y) * L(z,x,x))) \ x) * ((x \ y) * L(z,x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(2145(a,1),619(a,2,2))]. given #4181 (H,wt=37): 4326 ((x / (x \ (y * (z * x)))) \ x) * ((x \ y) * L(z,x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(2148(a,1),2150(a,1,1,1))]. given #4182 (H,wt=33): 4327 ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))) = (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)). [hyper(615,a,4326,a),flip(a)]. given #4183 (H,wt=36): 4328 ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))) != u | (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = u. [para(4326(a,1),615(a,1))]. given #4184 (H,wt=38): 2428 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1918(a,1),711(a,1,2))]. given #4185 (H,wt=32): 4330 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(3708(a,1),2428(a,1,2,2,2)),flip(a)]. given #4186 (H,wt=25): 4331 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(3561(a,1),4330(a,1,1)),flip(a)]. given #4187 (H,wt=25): 4332 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(227,a,3655,a,b,4331,a),flip(a)]. given #4188 (H,wt=27): 4334 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(4332(a,2),4022(a,1,2))]. given #4189 (H,wt=21): 4335 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3699(a,1),4334(a,1,2))]. given #4190 (H,wt=27): 4336 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(4335(a,1),4028(a,1,1,2))]. given #4191 (H,wt=19): 4337 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(227,a,4027,a(flip),b,4336,a(flip))]. given #4192 (H,wt=19): 4338 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(15(a,1),4337(a,1,2)),flip(a)]. given #4193 (H,wt=19): 4339 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(2563(a,1),4338(a,1,2))]. given #4194 (H,wt=17): 4340 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(3681(a,1),4339(a,1,2))]. given #4195 (H,wt=19): 4341 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3617(a,1),4340(a,1,2))]. given #4196 (H,wt=38): 2834 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(833(a,1),2777(a,1,2,1)),flip(a)]. given #4197 (H,wt=32): 4342 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(227,a,469,a(flip),b,2834,a)]. given #4198 (H,wt=30): 4343 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(177(a,1),4342(a,2,2))]. given #4199 (H,wt=38): 3110 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(72,a,3087,a(flip),b,471,a)]. given #4200 (H,wt=32): 4344 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(3085(a,1),3110(a,1,2,1,1))]. given #4201 (H,wt=38): 3692 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3609(a,1),3327(a,1,1,1,1))]. given #4202 (H,wt=34): 4345 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3692(a,1,1,1))]. given #4203 (H,wt=37): 4347 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(4345(a,1),20(a,1)),flip(a)]. given #4204 (H,wt=39): 1458 (T(x,x \ 1) * T(x,x \ 1)) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [hyper(72,a,1437,a,b,1041,a)]. given #4205 (H,wt=39): 1730 (((x \ 1) * (1 / (y / z))) \ 1) \ ((z * (y \ 1)) \ x) = ((1 \ ((z * (y \ 1)) \ x)) \ 1) * ((z * (y \ 1)) \ x). [para(1123(a,1),1406(a,1,1,1))]. given #4206 (H,wt=39): 2190 ((((x \ 1) \ (y \ z)) \ x) \ 1) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(2189(a,2),1625(a,2,1))]. given #4207 (H,wt=39): 3181 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(2206(a,1),3178(a,1,2,2))]. given #4208 (H,wt=25): 4351 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(4029(a,1),3181(a,1,2)),flip(a)]. given #4209 (H,wt=25): 4352 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(227,a,4117,a(flip),b,4351,a)]. given #4210 (H,wt=27): 4353 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(4352(a,1),3180(a,1,1)),flip(a)]. given #4211 (H,wt=25): 4354 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3140(a,1),4353(a,1,2))]. given #4212 (H,wt=13): 4355 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(2208(a,2),4354(a,1,2)),flip(a)]. given #4213 (H,wt=13): 4356 1 / (x \ K(y,x)) = K(y,x) \ x. [para(4355(a,1),62(a,1,2))]. given #4214 (H,wt=39): 3316 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1907(a,1),3315(a,1,2,1,1)),flip(a)]. given #4215 (H,wt=32): 4357 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1907(a,1),3316(a,2,1))]. given #4216 (H,wt=26): 4358 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(227,a,1909,a(flip),b,4357,a)]. given #4217 (H,wt=20): 4360 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1909(a,1),4358(a,1,1))]. given #4218 (H,wt=20): 4361 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,4360,a)]. given #4219 (H,wt=39): 4348 T((x \ 1) \ T(x,x \ 1),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [para(1519(a,2),1458(a,1,1))]. given #4220 (H,wt=37): 4362 T(T((x \ 1) \ x,x),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [para(771(a,2),4348(a,1,1,1))]. given #4221 (H,wt=35): 4363 T(T(x * x,x),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [para(705(a,1),4362(a,1,1,1,1))]. given #4222 (H,wt=31): 4364 (x * x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [para(1237(a,1),4363(a,1,1))]. given #4223 (H,wt=23): 4365 (x * x) \ T(((x * y) / x) * x,x \ 1) = y / T(x,x \ 1). [para(3618(a,1),4364(a,1,2,1,1))]. given #4224 (H,wt=19): 4366 (x * x) \ T(x * y,x \ 1) = y / T(x,x \ 1). [para(16(a,1),4365(a,1,2,1))]. given #4225 (H,wt=15): 4367 x / T(y,y \ 1) = y \ T(x,y \ 1). [hyper(227,a,3349,a(flip),b,4366,a(flip))]. given #4226 (H,wt=39): 4349 ((1 / (x / y)) \ ((z \ 1) \ 1)) \ ((y * (x \ 1)) \ z) = ((1 \ ((y * (x \ 1)) \ z)) \ 1) * ((y * (x \ 1)) \ z). [para(123(a,1),1730(a,1,1))]. given #4227 (H,wt=35): 4369 ((1 \ ((x * (y \ 1)) \ z)) \ 1) * ((x * (y \ 1)) \ z) = ((y / x) / (1 / z)) \ ((x * (y \ 1)) \ z). [para(1066(a,1),4349(a,1,1)),flip(a)]. given #4228 (H,wt=33): 4370 (((x * (y \ 1)) \ z) \ 1) * ((x * (y \ 1)) \ z) = ((y / x) / (1 / z)) \ ((x * (y \ 1)) \ z). [para(50(a,1),4369(a,1,1,1))]. given #4229 (H,wt=33): 4371 K((x \ 1) * (1 / (y / z)),(z * (y \ 1)) \ x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). [hyper(227,a,1729,a,b,4370,a(flip)),flip(a)]. given #4230 (H,wt=33): 4372 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). [para(1123(a,1),4370(a,1,1))]. given #4231 (H,wt=39): 4350 ((((x \ y) \ z) * (1 / z)) \ 1) * (1 / ((z \ 1) \ (x \ y))) = ((x / z) \ ((1 / y) \ z)) \ ((z \ 1) \ (x \ y)). [para(2113(a,1),2190(a,1,1,1))]. given #4232 (H,wt=39): 4373 ((1 / x) \ (((y \ z) \ x) \ 1)) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(123(a,1),4350(a,1,1))]. given #4233 (H,wt=39): 4374 (x * (((x \ (y \ z)) \ 1) \ 1)) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(3825(a,1),4373(a,1,1))]. given #4234 (H,wt=39): 4375 (x * (((x \ (y \ z)) \ 1) \ 1)) * ((1 / (y \ z)) * (x \ 1)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(313(a,1),4374(a,1,2))]. given #4235 (H,wt=39): 4376 (x * (((x \ (y \ z)) \ 1) \ 1)) * (((1 / z) * y) * (x \ 1)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(313(a,1),4375(a,1,2,1))]. given #4236 (H,wt=40): 2965 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2937(a,2),1789(a,1,1,2))]. given #4237 (H,wt=40): 3987 (((x * (y * z)) \ (x * y)) * ((x * (y * z)) \ (x * y))) * u = (L(z,y,x) \ 1) * (((x * y) \ (x * (y * z))) \ u). [para(28(a,2),3985(a,1,1,1)),flip(a)]. given #4238 (H,wt=40): 4003 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(227,a,421,a,b,3817,a),flip(a)]. given #4239 (H,wt=36): 4378 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(65(a,1),4003(a,1,1,3))]. given #4240 (H,wt=36): 4379 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(3573(a,1),4378(a,1,1))]. given #4241 (H,wt=40): 4040 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(513(a,2),4039(a,2,1,2,1)),flip(a)]. given #4242 (H,wt=36): 4380 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(227,a,4039,a(flip),b,4040,a)]. given #4243 (H,wt=40): 4173 ((x \ y) \ 1) * L(L((x \ 1) \ 1,y \ 1,y \ 1),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [para(257(a,1),4167(a,1,1))]. given #4244 (H,wt=41): 3307 T(x / y,x) \ ((((1 / y) * x) * ((1 / y) * x)) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). [hyper(227,a,1353,a(flip),b,1039,a)]. given #4245 (H,wt=41): 3440 ((x \ (y \ 1)) \ z) / (((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z))) = (1 / (y * x)) \ ((x \ (y \ 1)) \ z). [para(3374(a,1),793(a,1,2,2))]. given #4246 (H,wt=29): 4382 ((x \ (y \ 1)) \ z) / T(x \ (y \ 1),z) = (1 / (y * x)) \ ((x \ (y \ 1)) \ z). [para(4185(a,1),3440(a,1,2))]. given #4247 (H,wt=25): 4383 ((x \ (y \ 1)) \ z) / T(x \ (y \ 1),z) = (y * x) * ((y * x) * z). [hyper(227,a,1420,a(flip),b,4382,a)]. given #4248 (H,wt=41): 3703 (1 / ((x * (y \ 1)) \ z)) * (1 * ((((x * (y \ 1)) \ z) \ 1) \ 1)) = ((z \ 1) * (1 / (y / x))) * ((x * (y \ 1)) \ z). [para(1123(a,1),3701(a,2,1))]. given #4249 (H,wt=41): 4381 T(x / y,x) \ (((1 / y) * (x * ((1 / y) * x))) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). [para(940(a,1),3307(a,1,2,1))]. given #4250 (H,wt=39): 4385 T(x / y,x) \ (((1 / y) * ((x / y) * x)) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). [para(624(a,1),4381(a,1,2,1,2))]. given #4251 (H,wt=35): 4386 T(x / y,x) \ (((1 / y) * ((x / y) * x)) * ((x \ y) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). [para(250(a,1),4385(a,1,2,2,1))]. given #4252 (H,wt=35): 4387 T(x / y,x) \ (((x \ y) \ 1) * ((x \ y) \ ((x \ y) \ z))) = ((1 / y) * x) * (((1 / y) * x) * z). [para(2570(a,1),4386(a,1,2))]. given #4253 (H,wt=27): 4388 (((x \ y) \ 1) \ 1) \ ((x \ y) \ z) = ((1 / y) * x) * (((1 / y) * x) * z). [hyper(227,a,3310,a(flip),b,4387,a(flip)),flip(a)]. given #4254 (H,wt=27): 4389 ((x \ y) \ 1) * (((x \ y) \ 1) * z) = ((1 / y) * x) * (((1 / y) * x) * z). [hyper(227,a,3380,a(flip),b,4388,a(flip)),flip(a)]. given #4255 (H,wt=41): 4384 ((1 / x) * (y * (z \ 1))) * (1 * ((((y * (z \ 1)) \ x) \ 1) \ 1)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(313(a,1),3703(a,1,1))]. given #4256 (H,wt=41): 4390 ((1 / x) * (y * (z \ 1))) * (1 * (((x \ 1) * (1 / (z / y))) \ 1)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(1123(a,1),4384(a,1,2,2,1))]. given #4257 (H,wt=41): 4391 ((1 / x) * (y * (z \ 1))) * (1 * ((1 / (z / y)) \ ((x \ 1) \ 1))) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(123(a,1),4390(a,1,2,2))]. given #4258 (H,wt=37): 4392 ((1 / x) * (y * (z \ 1))) * (1 * ((z / y) / (1 / x))) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(1066(a,1),4391(a,1,2,2))]. given #4259 (H,wt=35): 4393 ((1 / x) * (y * (z \ 1))) * ((z / y) / (1 / x)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(11(a,1),4392(a,1,2))]. given #4260 (H,wt=42): 2731 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(109(a,1),1850(a,1,2))]. given #4261 (H,wt=39): 4394 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(109(a,1),2731(a,1,1,1,2,2)),flip(a)]. given #4262 (H,wt=39): 4395 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(227,a,1491,a(flip),b,4394,a)]. given #4263 (H,wt=35): 4396 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(227,a,4035,a(flip),b,4395,a)]. given #4264 (H,wt=35): 4397 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(1491(a,1),4396(a,1,1))]. given #4265 (H,wt=33): 4398 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2778(a,1),4397(a,2,1))]. given #4266 (H,wt=28): 4399 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,109,a,b,4398,a)]. given #4267 (H,wt=30): 4400 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(14(a,1),4399(a,1,2,1)),flip(a)]. given #4268 (H,wt=30): 4401 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(227,a,2255,a,b,4400,a)]. given #4269 (H,wt=28): 4402 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(732(a,1),4401(a,1,1,2,1))]. given #4270 (H,wt=23): 4403 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(4227(a,1),4402(a,1,1))]. given #4271 (H,wt=42): 2762 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),2761(a,1,1)),flip(a)]. given #4272 (H,wt=37): 4404 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(30(a,2),2762(a,2,2,1,1))]. given #4273 (H,wt=33): 4405 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(2777(a,1),4404(a,1,1))]. given #4274 (H,wt=31): 4406 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(2830(a,1),4405(a,1,1,1))]. given #4275 (H,wt=26): 4407 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(506,a,4406,a),flip(a)]. given #4276 (H,wt=42): 2780 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(28(a,2),2779(a,1,1)),flip(a)]. given #4277 (H,wt=37): 4408 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(28(a,2),2780(a,2,2,1,1))]. given #4278 (H,wt=33): 4409 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1809(a,1),4408(a,1,2))]. given #4279 (H,wt=31): 4410 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1633(a,1),4409(a,1,2,2))]. given #4280 (H,wt=26): 4411 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(474,a,4410,a),flip(a)]. given #4281 (H,wt=29): 4412 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(4410(a,1),474(a,1))]. given #4282 (H,wt=34): 4413 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(812(a,1),4411(a,1,2))]. given #4283 (H,wt=32): 4414 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(12(a,1),4413(a,1,2,2)),flip(a)]. given #4284 (H,wt=27): 4415 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(4111(a,1),4414(a,1,1)),flip(a)]. given #4285 (H,wt=42): 2823 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),2812(a,1,1)),flip(a)]. given #4286 (H,wt=37): 4416 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(30(a,2),2823(a,2,2,1,1))]. given #4287 (H,wt=33): 4417 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(2776(a,1),4416(a,1,1))]. given #4288 (H,wt=31): 4418 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(2801(a,1),4417(a,1,1,1))]. given #4289 (H,wt=26): 4419 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(506,a,4418,a),flip(a)]. given #4290 (H,wt=34): 4420 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1344(a,1),4419(a,1,2))]. given #4291 (H,wt=32): 4421 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(12(a,1),4420(a,1,2,2)),flip(a)]. given #4292 (H,wt=28): 4422 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(4319(a,1),4421(a,1,1)),flip(a)]. given #4293 (H,wt=27): 4423 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(4316(a,1),4422(a,2,1))]. given #4294 (H,wt=27): 4424 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(227,a,4403,a(flip),b,4423,a)]. given #4295 (H,wt=17): 4425 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,2255,a(flip),b,4424,a)]. given #4296 (H,wt=17): 4426 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(227,a,2140,a,b,4425,a(flip)),flip(a)]. given #4297 (H,wt=17): 4427 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(4426(a,1),62(a,1,2)),flip(a)]. given #4298 (H,wt=17): 4428 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(62(a,1),4426(a,1,1,1,2)),flip(a)]. given #4299 (H,wt=17): 4429 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(139(a,1),4426(a,1,1,1)),flip(a)]. given #4300 (H,wt=17): 4431 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(62(a,1),4427(a,1,1,2)),flip(a)]. given #4301 (H,wt=17): 4432 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(4428(a,1),65(a,1,1))]. given #4302 (H,wt=17): 4433 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(4429(a,1),65(a,1,1)),flip(a)]. given #4303 (H,wt=17): 4434 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(4431(a,1),1544(a,1,2))]. given #4304 (H,wt=17): 4436 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(4433(a,2),1543(a,1,2))]. given #4305 (H,wt=21): 4430 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(1609(a,1),4426(a,1,1,1))]. given #4306 (H,wt=22): 4435 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(512(a,1),4433(a,2,1,1))]. given #4307 (H,wt=22): 4437 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(3572(a,1),4433(a,2,1,1))]. given #4308 (H,wt=17): 4441 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(227,a,3580,a,b,4437,a(flip)),flip(a)]. given #4309 (H,wt=24): 4440 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(851(a,1),4430(a,1,1)),flip(a)]. given #4310 (H,wt=27): 4439 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(2287(a,1),4434(a,1,2,1)),flip(a)]. given #4311 (H,wt=25): 4442 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3116(a,1),4439(a,1,2,1)),flip(a)]. given #4312 (H,wt=30): 4438 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(4433(a,2),1645(a,1,1))]. given #4313 (H,wt=27): 4443 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(215,a,4438,a),flip(a)]. given #4314 (H,wt=27): 4444 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(1576(a,1),4443(a,2,1))]. given #4315 (H,wt=30): 4446 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(227,a,1755,a(flip),b,4444,a(flip)),flip(a)]. given #4316 (H,wt=30): 4447 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(4433(a,2),4446(a,1,1))]. given #4317 (H,wt=24): 4448 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3462(a,1),4447(a,2,1))]. given #4318 (H,wt=31): 4445 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(227,a,4263,a(flip),b,4444,a(flip)),flip(a)]. given #4319 (H,wt=25): 4450 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3462(a,1),4445(a,2,1))]. given #4320 (H,wt=35): 4449 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(4435(a,1),4448(a,1,1))]. given #4321 (H,wt=31): 4451 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),4449(a,1,2,1))]. given #4322 (H,wt=29): 4452 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1046,a,4451,a),flip(a)]. given #4323 (H,wt=42): 2900 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(100(a,1),2897(a,1,1))]. given #4324 (H,wt=39): 4454 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(100(a,1),2900(a,1,2,1,2,1))]. given #4325 (H,wt=35): 4455 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(2330,a,4454,a),flip(a)]. given #4326 (H,wt=33): 4456 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(2897(a,1),4455(a,2,2))]. given #4327 (H,wt=28): 4457 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(464,a,4456,a),flip(a)]. given #4328 (H,wt=30): 4459 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(14(a,1),4457(a,1,2,1)),flip(a)]. given #4329 (H,wt=30): 4460 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(227,a,2255,a,b,4459,a)]. given #4330 (H,wt=23): 4461 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(2787(a,1),4460(a,1,1))]. given #4331 (H,wt=27): 4462 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(227,a,4415,a,b,4461,a(flip)),flip(a)]. given #4332 (H,wt=17): 4463 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,2255,a(flip),b,4462,a)]. given #4333 (H,wt=17): 4464 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(227,a,2752,a,b,4463,a(flip)),flip(a)]. given #4334 (H,wt=17): 4465 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(4464(a,1),62(a,1,2)),flip(a)]. given #4335 (H,wt=17): 4466 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(62(a,1),4464(a,1,1,1,2)),flip(a)]. given #4336 (H,wt=17): 4467 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. [para(3268(a,1),4464(a,1,1,1)),flip(a)]. given #4337 (H,wt=17): 4471 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(4466(a,1),65(a,1,1))]. given #4338 (H,wt=17): 4472 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(62(a,1),4471(a,1,1,1,1)),flip(a)]. given #4339 (H,wt=21): 4475 (x \ 1) * L((y \ 1) \ 1,z,u) = (L(y,z,u) \ x) \ 1. [para(4472(a,2),257(a,1,2))]. given #4340 (H,wt=15): 4478 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [hyper(2406,a,4475,a),flip(a)]. given #4341 (H,wt=15): 4481 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(4478(a,1),62(a,1,2))]. given #4342 (H,wt=15): 4482 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [hyper(316,a,4481,a)]. given #4343 (H,wt=13): 4483 x / L(x,y,z) = L(x,y,z) \ x. [hyper(820,a,4482,a)]. given #4344 (H,wt=13): 4484 (L(x,y,z) \ x) * L(x,y,z) = x. [para(4483(a,1),16(a,1,1))]. given #4345 (H,wt=21): 4486 (x \ 1) * (L(x,y,z) \ x) = x * (1 / (L(x,y,z) * x)). [para(4483(a,1),3358(a,1,2))]. given #4346 (H,wt=21): 4487 (x \ 1) * (L(x,y,z) \ x) = x * (1 / (x * L(x,y,z))). [para(265(a,1),4486(a,2,2,2))]. given #4347 (H,wt=22): 4469 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(219(a,1),4465(a,2,2,2))]. given #4348 (H,wt=22): 4479 L(L((x \ 1) \ 1,y,z),u,u) = u * ((L(x,y,z) \ u) \ 1). [para(4475(a,1),1389(a,1,2)),flip(a)]. given #4349 (H,wt=21): 4489 L((x * (y \ 1)) \ x,z,u) = x * ((L(y,z,u) \ x) \ 1). [hyper(227,a,1304,a(flip),b,4479,a(flip)),flip(a)]. given #4350 (H,wt=21): 4490 L(x * ((y \ x) \ 1),z,u) = x * ((L(y,z,u) \ x) \ 1). [para(1220(a,1),4489(a,1,1))]. given #4351 (H,wt=20): 4491 L(x * ((y \ x) \ 1),z \ y,z) = x * ((y \ x) \ 1). [para(953(a,1),4490(a,2,2,1,1))]. given #4352 (H,wt=23): 4485 (x \ ((L(x,y,z) \ x) * u)) \ 1 = x \ ((u / x) \ L(x,y,z)). [para(4483(a,1),1592(a,1,1,2,1))]. given #4353 (H,wt=24): 4476 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(479(a,1),4472(a,2,1,1))]. given #4354 (H,wt=25): 4480 ((x \ y) \ 1) * L((x \ 1) \ 1,z,u) = (x \ (L(x,z,u) \ y)) \ 1. [para(2398(a,1),4475(a,2,1))]. given #4355 (H,wt=23): 4493 (x \ 1) \ L(1 / (x \ 1),y,z) = (x \ (L(x,y,z) \ 1)) \ 1. [hyper(227,a,1738,a(flip),b,4480,a(flip)),flip(a)]. given #4356 (H,wt=19): 4494 (x \ (L(x,y,z) \ 1)) \ 1 = (x \ 1) \ L(x,y,z). [para(62(a,1),4493(a,1,2,1)),flip(a)]. given #4357 (H,wt=26): 4492 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(3249(a,2),4476(a,1,1))]. given #4358 (H,wt=21): 4495 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(227,a,865,a(flip),b,4492,a(flip)),flip(a)]. given #4359 (H,wt=27): 4474 x \ (1 / (x * (L(1 / y,z,u) \ 1))) = (L(y \ 1,z,u) \ x) \ (1 / x). [para(4471(a,1),3861(a,1,1,1)),flip(a)]. given #4360 (H,wt=23): 4496 (L(x \ 1,y,z) \ u) \ (1 / u) = u \ (L(1 / x,y,z) / u). [para(263(a,1),4474(a,1,2)),flip(a)]. given #4361 (H,wt=27): 4488 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(4469(a,1),100(a,1,2))]. given #4362 (H,wt=30): 4470 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(4465(a,2),4045(a,1,2))]. given #4363 (H,wt=30): 4497 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. [para(4470(a,1),209(a,1))]. given #4364 (H,wt=33): 4458 (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). [hyper(78,a,4456,a)]. given #4365 (H,wt=31): 4498 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. [para(4458(a,1),474(a,1))]. given #4366 (H,wt=42): 3891 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(136(a,1),3841(a,1,1)),flip(a)]. given #4367 (H,wt=35): 4499 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(136(a,1),3891(a,1,2,2,2,2))]. given #4368 (H,wt=31): 4500 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(4497,a,4499,a),flip(a)]. given #4369 (H,wt=31): 4502 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(4488(a,1),4500(a,2,2))]. given #4370 (H,wt=29): 4503 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(52(a,1),4502(a,2,2,2,2,2,2,2))]. given #4371 (H,wt=25): 4505 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(62(a,1),4503(a,2,2,2,2,2))]. given #4372 (H,wt=25): 4506 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(2255(a,2),4505(a,2,2,2))]. given #4373 (H,wt=28): 4507 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(4506(a,1),19(a,1)),flip(a)]. given #4374 (H,wt=43): 2104 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / y) \ ((T(x,y) \ 1) \ 1)). [para(1574(a,1),1281(a,1,1,1)),flip(a)]. given #4375 (H,wt=43): 4377 (((x * (y * z)) \ (x * y)) * ((x * (y * z)) \ (x * y))) * u != w * (((x * y) \ (x * (y * z))) \ u) | L(z,y,x) \ 1 = w. [para(3987(a,2),20(a,1))]. given #4376 (H,wt=43): 4508 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / y) \ T((x \ 1) \ 1,y)). [para(1601(a,1),2104(a,2,2,2))]. given #4377 (H,wt=41): 4509 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / ((x \ 1) \ 1)) \ y). [para(805(a,1),4508(a,2,2))]. given #4378 (H,wt=37): 4510 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((x \ 1) \ y). [para(62(a,1),4509(a,2,2,1))]. given #4379 (H,wt=35): 4511 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). [hyper(227,a,623,a(flip),b,4510,a)]. given #4380 (H,wt=33): 4513 ((1 / x) * (y \ 1)) \ (z / ((T(y,x) \ 1) * (1 / x))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). [para(1574(a,1),4511(a,1,1))]. given #4381 (H,wt=31): 4514 ((1 / x) * (y \ 1)) \ (z / ((1 / x) * (y \ 1))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). [para(1574(a,1),4513(a,1,2,2))]. given #4382 (H,wt=31): 4515 ((1 / x) * (y \ 1)) \ ((1 / z) \ (y / (1 / x))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). [para(341(a,1),4514(a,1,2))]. given #4383 (H,wt=31): 4516 (x / (1 / y)) * (((1 / z) \ 1) * (x / (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). [hyper(227,a,3860,a(flip),b,4515,a(flip)),flip(a)]. given #4384 (H,wt=27): 4517 (x / (1 / y)) * (z * (x / (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). [para(65(a,1),4516(a,1,2,1))]. given #4385 (H,wt=44): 1847 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / z) \ (((y \ z) \ z) \ 1)) * x). [para(1600(a,1),1396(a,1,1)),flip(a)]. given #4386 (H,wt=44): 2207 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(731(a,1),2203(a,2,2))]. given #4387 (H,wt=42): 4519 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(4262(a,1),2207(a,1,1,2))]. given #4388 (H,wt=32): 4520 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(16(a,1),4519(a,1,1,2))]. given #4389 (H,wt=24): 4522 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(731(a,1),4520(a,1,1)),flip(a)]. given #4390 (H,wt=24): 4524 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(4522(a,1),4150(a,1,1))]. given #4391 (H,wt=26): 4525 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(72,a,4524,a(flip),b,3006,a)]. given #4392 (H,wt=19): 4526 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(4246,a,4525,a),flip(a)]. given #4393 (H,wt=19): 4527 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(4526(a,1),3267(a,1,1))]. given #4394 (H,wt=19): 4528 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(4320,a,4527,a)]. given #4395 (H,wt=22): 4529 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(227,a,4075,a,b,4528,a(flip)),flip(a)]. given #4396 (H,wt=22): 4531 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(4529(a,1),14(a,1,2))]. given #4397 (H,wt=22): 4532 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(227,a,4427,a(flip),b,4531,a)]. given #4398 (H,wt=20): 4533 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(17,a,2009,a,b,4532,a),flip(a)]. given #4399 (H,wt=20): 4534 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1444,a,b,4532,a),flip(a)]. given #4400 (H,wt=22): 4536 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(4533(a,1),4450(a,1,1))]. given #4401 (H,wt=23): 4530 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(4528(a,1),4128(a,1,1))]. given #4402 (H,wt=23): 4535 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(4533(a,1),331(a,1))]. given #4403 (H,wt=25): 4538 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(4536(a,1),20(a,1))]. given #4404 (H,wt=26): 4539 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(4017(a,1),4536(a,1,1))]. given #4405 (H,wt=22): 4541 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2286(a,1),4539(a,2,1,2))]. given #4406 (H,wt=25): 4542 K(x,R(x \ 1,y,z)) * (y * z) != u * z | y * K(x,x \ 1) = u. [para(4541(a,2),20(a,1))]. given #4407 (H,wt=27): 4540 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(4017(a,1),4530(a,1,1)),flip(a)]. given #4408 (H,wt=24): 4543 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(227,a,4534,a(flip),b,4540,a(flip))]. given #4409 (H,wt=20): 4544 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(227,a,4017,a(flip),b,4543,a)]. given #4410 (H,wt=25): 4545 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(4544(a,1),109(a,1,1)),flip(a)]. given #4411 (H,wt=13): 4546 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(464,a,4545,a)]. given #4412 (H,wt=18): 4547 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,4541,a(flip),b,4545,a)]. given #4413 (H,wt=14): 4548 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,3087,a,b,4547,a)]. given #4414 (H,wt=10): 4552 L(x,y,K(z,z \ 1)) = x. [para(4548(a,1),4546(a,1,3))]. given #4415 (H,wt=10): 4562 L(x,y,K(z \ 1,z)) = x. [para(2254(a,1),4552(a,1,3))]. given #4416 (H,wt=12): 4565 L(x,y,K(z \ u,u \ z)) = x. [para(3526(a,1),4552(a,1,3))]. given #4417 (H,wt=13): 4567 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(4323,a,4562,a),flip(a)]. given #4418 (H,wt=13): 4581 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(62(a,1),4567(a,1,3)),flip(a)]. given #4419 (H,wt=14): 4570 L(x,y,K(z \ 1,z)) = u \ (u * x). [hyper(227,a,13,a,b,4562,a)]. given #4420 (H,wt=13): 4585 L(x,y,K(z \ 1,z)) != u | u = x. [para(4570(a,2),282(a,1))]. given #4421 (H,wt=14): 4590 K(x,y \ 1) != z | K(x,1 / y) = z. [para(4291(a,1),4585(a,1)),flip(b)]. given #4422 (H,wt=16): 4576 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(4562(a,1),4323(a,1))]. given #4423 (H,wt=16): 4579 L(x \ (y / z),x,y \ 1) = (x \ y) / z. [hyper(1814,a,4567,a),flip(a)]. given #4424 (H,wt=16): 4591 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(2250(a,2),4590(a,1))]. given #4425 (H,wt=16): 4594 L(x \ y,x,z \ 1) = (x \ z) / (y \ z). [para(62(a,1),4579(a,1,1,2))]. given #4426 (H,wt=16): 4596 (x \ y) / ((x * z) \ y) = L(z,x,y \ 1). [para(13(a,1),4594(a,1,1)),flip(a)]. given #4427 (H,wt=17): 4563 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(4552(a,1),2280(a,1,2))]. given #4428 (H,wt=17): 4564 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(4552(a,1),2283(a,1,2)),flip(a)]. given #4429 (H,wt=17): 4582 L(x,y,(z * (u \ 1)) \ 1) = L(x,y,u / z). [para(263(a,1),4567(a,1,3)),flip(a)]. given #4430 (H,wt=17): 4583 L(x,y,(z \ u) \ 1) = L(x,y,(1 / u) * z). [para(313(a,1),4567(a,1,3)),flip(a)]. given #4431 (H,wt=17): 4598 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(227,a,3087,a(flip),b,4563,a)]. given #4432 (H,wt=17): 4600 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(3093,a,4564,a)]. given #4433 (H,wt=17): 4601 L(x,y,z / (1 / u)) = L(x,y,(z \ 1) \ u). [para(250(a,1),4582(a,1,3)),flip(a)]. given #4434 (H,wt=17): 4603 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(65(a,1),4598(a,1,2)),flip(a)]. given #4435 (H,wt=18): 4597 x / ((y * z) \ (y * x)) = L(z,y,(y * x) \ 1). [para(13(a,1),4596(a,1,1))]. given #4436 (H,wt=18): 4605 x / ((y * z) \ (y * x)) = L(z,y,x \ (y \ 1)). [para(123(a,1),4597(a,2,3))]. given #4437 (H,wt=19): 4551 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(4548(a,1),4541(a,1,1)),flip(a)]. given #4438 (H,wt=19): 4555 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(227,a,4344,a,b,4552,a(flip)),flip(a)]. given #4439 (H,wt=19): 4556 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(227,a,102,a(flip),b,4552,a(flip)),flip(a)]. given #4440 (H,wt=19): 4558 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(4552(a,1),100(a,1,2))]. given #4441 (H,wt=19): 4559 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(4552(a,1),523(a,1,2))]. given #4442 (H,wt=19): 4572 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(4562(a,1),100(a,1,2))]. given #4443 (H,wt=19): 4573 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(4562(a,1),523(a,1,2))]. given #4444 (H,wt=17): 4620 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1865(a,1),4573(a,1,1)),flip(a)]. given #4445 (H,wt=19): 4575 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(4562(a,1),3114(a,1,2))]. given #4446 (H,wt=14): 4622 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(4538,a,4575,a)]. given #4447 (H,wt=17): 4625 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(4535,a,4622,a)]. given #4448 (H,wt=19): 4595 ((x \ 1) * y) \ ((x \ 1) * z) = (y \ x) / (z \ x). [hyper(227,a,102,a(flip),b,4594,a(flip)),flip(a)]. given #4449 (H,wt=19): 4609 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(3737(a,1),4551(a,1,1)),flip(a)]. given #4450 (H,wt=19): 4613 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(3720(a,1),4556(a,1,1)),flip(a)]. given #4451 (H,wt=19): 4617 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(3087(a,1),4559(a,1,1))]. given #4452 (H,wt=20): 4612 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(4555(a,1),1851(a,1,1)),flip(a)]. given #4453 (H,wt=20): 4636 K(x,x \ 1) * (1 / y) != z | K(x,x \ 1) / y = z. [para(4617(a,1),299(a,1))]. given #4454 (H,wt=20): 4638 (1 / x) * K(y,y \ 1) != z | K(y,y \ 1) / x = z. [para(3087(a,1),4636(a,1))]. given #4455 (H,wt=21): 4584 L(x,y,(z * (u \ z)) \ 1) = L(x,y,(z \ u) * (1 / z)). [para(1432(a,1),4567(a,1,3)),flip(a)]. given #4456 (H,wt=21): 4602 L(x,y,z \ (1 / (z / u))) = L(x,y,(1 / z) * (u / z)). [para(3436(a,1),4583(a,1,3))]. given #4457 (H,wt=19): 4639 L(x,y,z \ (1 / (z / u))) = L(x,y,(z \ u) / z). [para(637(a,1),4602(a,2,3))]. given #4458 (H,wt=21): 4615 K(x,x \ 1) * ((y \ 1) * z) = ((y \ x) * (1 / x)) * z. [para(3676(a,1),4558(a,1,1)),flip(a)]. given #4459 (H,wt=21): 4619 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(3729(a,1),4572(a,1,1)),flip(a)]. given #4460 (H,wt=21): 4621 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(190(a,1),4620(a,1,2)),flip(a)]. given #4461 (H,wt=21): 4627 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(4622(a,1),816(a,1,2))]. given #4462 (H,wt=15): 4641 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,3636,a,b,4627,a),flip(a)]. given #4463 (H,wt=13): 4643 R(x,y,z) / x = x \ R(x,y,z). [hyper(1416,a,4641,a)]. given #4464 (H,wt=13): 4646 (x \ R(x,y,z)) * x = R(x,y,z). [para(4643(a,1),16(a,1,1))]. given #4465 (H,wt=10): 4648 T(x,x \ R(x,y,z)) = x. [hyper(269,a,4646,a)]. given #4466 (H,wt=15): 4644 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [para(4641(a,1),250(a,1,1))]. given #4467 (H,wt=16): 4645 x \ R(x,y,z) != u | R(x,y,z) / x = u. [para(4641(a,1),1416(a,1))]. given #4468 (H,wt=17): 4649 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(817,a,4644,a)]. given #4469 (H,wt=17): 4650 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(406,a,4649,a)]. given #4470 (H,wt=12): 4651 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,4650,a)]. given #4471 (H,wt=22): 4560 (K(x,x \ 1) * y) * z != u | K(x,x \ 1) * (y * z) = u. [para(4552(a,1),209(a,1,2))]. given #4472 (H,wt=22): 4561 K(x,x \ 1) * y != (K(x,x \ 1) * z) * u | z * u = y. [para(4552(a,1),456(a,1,2)),flip(a)]. given #4473 (H,wt=22): 4574 K(x \ 1,x) * y != (K(x \ 1,x) * z) * u | z * u = y. [para(4562(a,1),456(a,1,2)),flip(a)]. given #4474 (H,wt=22): 4588 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | y \ z = u. [para(102(a,1),4585(a,1)),flip(b)]. given #4475 (H,wt=22): 4652 x \ (K(y \ 1,y) * z) != u | (K(y,y \ 1) * x) \ z = u. [para(3717(a,1),4588(a,1,1))]. given #4476 (H,wt=23): 4577 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(4565(a,1),100(a,1,2))]. given #4477 (H,wt=23): 4589 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(4247(a,2),4585(a,1)),flip(b)]. given #4478 (H,wt=23): 4630 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(4625(a,1),3881(a,1,2))]. given #4479 (H,wt=21): 4654 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(18,a,3632,a,b,4630,a)]. given #4480 (H,wt=17): 4655 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(227,a,4649,a(flip),b,4654,a)]. given #4481 (H,wt=13): 4656 x / R(x,y,z) = R(x,y,z) \ x. [hyper(350,a,4655,a)]. given #4482 (H,wt=13): 4657 (R(x,y,z) \ x) * R(x,y,z) = x. [para(4656(a,1),16(a,1,1))]. given #4483 (H,wt=23): 4647 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(4643(a,1),520(a,1,1))]. given #4484 (H,wt=23): 4653 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(3454(a,1),4577(a,1,1))]. given #4485 (H,wt=24): 4640 K(x,x \ 1) * y != ((z \ x) * (1 / x)) * u | (z \ 1) * u = y. [para(4615(a,1),19(a,1)),flip(a)]. given #4486 (H,wt=24): 4659 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(4653(a,2),150(a,1)),flip(b)]. given #4487 (H,wt=25): 4580 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(227,a,3615,a,b,4567,a(flip)),flip(a)]. given #4488 (H,wt=26): 4578 K(x \ y,y \ x) * z != (K(x \ y,y \ x) * u) * w | u * w = z. [para(4565(a,1),456(a,1,2)),flip(a)]. given #4489 (H,wt=26): 4608 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(73,a,4551,a(flip),b,109,a)]. given #4490 (H,wt=26): 4618 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(4572(a,1),30(a,2,1,1)),flip(a)]. given #4491 (H,wt=26): 4660 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(227,a,4559,a(flip),b,4608,a(flip)),flip(a)]. given #4492 (H,wt=26): 4661 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(4572(a,1),4618(a,1,1))]. given #4493 (H,wt=26): 4662 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(227,a,4573,a(flip),b,4661,a(flip)),flip(a)]. given #4494 (H,wt=21): 4663 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),4662(a,1,2)),flip(a)]. given #4495 (H,wt=21): 4665 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(3723,a,4663,a(flip))]. given #4496 (H,wt=21): 4667 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(3717(a,1),4665(a,1,2,1)),flip(a)]. given #4497 (H,wt=21): 4668 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(227,a,3087,a(flip),b,4667,a)]. given #4498 (H,wt=24): 4666 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(4663(a,2),3732(a,1,2)),flip(b)]. given #4499 (H,wt=27): 4626 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(226(a,1),4622(a,1,2)),flip(a)]. given #4500 (H,wt=27): 4631 (((1 / x) \ 1) * (1 / y)) \ (((1 / x) \ 1) * z) = (y / x) / (z \ (1 / x)). [para(339(a,1),4595(a,2,1))]. given #4501 (H,wt=23): 4669 (x * (1 / y)) \ (((1 / x) \ 1) * z) = (y / x) / (z \ (1 / x)). [para(65(a,1),4631(a,1,1,1))]. given #4502 (H,wt=19): 4670 (x / y) / (z \ (1 / y)) = (y * (1 / x)) \ (y * z). [para(65(a,1),4669(a,1,2,1)),flip(a)]. given #4503 (H,wt=27): 4664 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(227,a,4210,a(flip),b,4663,a)]. given #4504 (H,wt=17): 4673 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(3726(a,1),4664(a,1,1)),flip(a)]. given #4505 (H,wt=17): 4674 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(85,a,4673,a)]. given #4506 (H,wt=17): 4675 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),4673(a,1,1,2,1)),flip(a)]. given #4507 (H,wt=17): 4676 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),4674(a,1,1,1)),flip(a)]. given #4508 (H,wt=17): 4679 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4676(a,1),14(a,1,2)),flip(a)]. given #4509 (H,wt=22): 4677 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(512(a,1),4675(a,2,1,2))]. given #4510 (H,wt=22): 4678 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(3572(a,1),4675(a,2,1,2))]. given #4511 (H,wt=17): 4682 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(227,a,4304,a(flip),b,4678,a(flip))]. given #4512 (H,wt=13): 4685 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),4682(a,1,1)),flip(a)]. given #4513 (H,wt=13): 4686 x * (y \ T(y,x)) = (y * x) / y. [hyper(85,a,4685,a),flip(a)]. given #4514 (H,wt=13): 4688 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,113,a(flip),b,4685,a)]. given #4515 (H,wt=11): 4699 T(x,y) * (y \ T(y,x)) = x. [para(1938(a,1),4688(a,1,2,2))]. given #4516 (H,wt=11): 4701 T(x,y) \ x = y \ T(y,x). [hyper(78,a,4699,a)]. given #4517 (H,wt=13): 4689 (x \ T(x,y)) * y = (x * y) / x. [hyper(2946,a,4686,a)]. given #4518 (H,wt=13): 4690 x \ ((y * x) / y) = y \ T(y,x). [hyper(78,a,4686,a)]. given #4519 (H,wt=13): 4691 ((x * y) / x) * (T(x,y) \ x) = y. [hyper(18,a,3290,a,b,4686,a),flip(a)]. given #4520 (H,wt=13): 4693 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,2955,a,b,4686,a),flip(a)]. given #4521 (H,wt=13): 4696 (T(x,y) \ x) * ((x * y) / x) = y. [para(4686(a,1),3187(a,1,2))]. given #4522 (H,wt=13): 4698 ((x * y) / x) \ y = T(x,y) \ x. [para(4686(a,1),4091(a,1,1))]. given #4523 (H,wt=13): 4700 T(x,T(y,x)) \ x = y \ T(y,x). [para(4688(a,1),4091(a,1,1)),flip(a)]. given #4524 (H,wt=13): 4707 (x * y) / x = y * (T(y,x) \ y). [para(4701(a,2),4686(a,1,2)),flip(a)]. given #4525 (H,wt=11): 4715 T(x * (T(x,y) \ x),y) = x. [para(4707(a,1),160(a,1,1))]. given #4526 (H,wt=14): 4702 T(x,y) \ x != z | y \ T(y,x) = z. [para(4699(a,1),282(a,1,2)),flip(b)]. given #4527 (H,wt=15): 4687 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(73,a,14,a(flip),b,4685,a),flip(a)]. given #4528 (H,wt=15): 4697 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4686(a,1),4056(a,1,1))]. given #4529 (H,wt=15): 4703 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(227,a,3159,a,b,4701,a),flip(a)]. given #4530 (H,wt=15): 4704 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(227,a,3140,a(flip),b,4701,a)]. given #4531 (H,wt=15): 4711 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4700(a,2),4686(a,1,2)),flip(a)]. given #4532 (H,wt=15): 4712 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(2314,a,4707,a),flip(a)]. given #4533 (H,wt=15): 4713 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(2313,a,4707,a)]. given #4534 (H,wt=15): 4714 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(72,a,224,a(flip),b,4707,a(flip)),flip(a)]. given #4535 (H,wt=15): 4720 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),4687(a,1,2,2))]. given #4536 (H,wt=15): 4721 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4703(a,2),1086(a,1,1))]. given #4537 (H,wt=15): 4724 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(78,a,4720,a)]. given #4538 (H,wt=15): 4726 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(62(a,1),4721(a,1,1,1,2)),flip(a)]. given #4539 (H,wt=16): 4708 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4690(a,1),2743(a,1,1)),flip(a)]. given #4540 (H,wt=12): 4727 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(227,a,3135,a(flip),b,4708,a)]. given #4541 (H,wt=14): 4730 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3952(a,1),4727(a,1,2))]. given #4542 (H,wt=13): 4732 T(x,x / (x * y)) = T(x,y \ 1). [hyper(227,a,3261,a(flip),b,4730,a(flip)),flip(a)]. given #4543 (H,wt=13): 4733 T(x,x / (y * x)) = T(x,y \ 1). [hyper(227,a,3260,a(flip),b,4730,a(flip)),flip(a)]. given #4544 (H,wt=13): 4738 T(x,(x * y) \ x) = T(x,y \ 1). [hyper(227,a,2513,a(flip),b,4732,a(flip)),flip(a)]. given #4545 (H,wt=11): 4743 T(T(x,y \ 1),x * y) = x. [para(4738(a,1),2497(a,1,1))]. given #4546 (H,wt=13): 4742 T(x,(y \ x) \ 1) = T(x,x \ y). [para(945(a,1),4733(a,1,2)),flip(a)]. given #4547 (H,wt=15): 4728 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3962,a,4727,a),flip(a)]. given #4548 (H,wt=15): 4734 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(4042,a,4732,a)]. given #4549 (H,wt=15): 4739 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(72,a,4732,a(flip),b,2904,a),flip(a)]. given #4550 (H,wt=15): 4741 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(72,a,4733,a(flip),b,2094,a)]. given #4551 (H,wt=15): 4745 K(x \ y,x) \ x = x * K(x,y / x). [hyper(227,a,4726,a(flip),b,4728,a(flip)),flip(a)]. given #4552 (H,wt=13): 4753 K(x \ y,x) \ 1 = K(x,y / x). [hyper(2945,a,4745,a)]. given #4553 (H,wt=13): 4754 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),4753(a,1,1,1)),flip(a)]. given #4554 (H,wt=11): 4756 K(T(x,y),y) \ 1 = K(y,x). [para(161(a,1),4754(a,1,2)),flip(a)]. given #4555 (H,wt=11): 4757 K(T(x,y),y) * K(y,x) = 1. [para(4756(a,1),14(a,1,2))]. given #4556 (H,wt=11): 4758 K(T(x,y),y) = K(y,x) \ 1. [para(4756(a,1),3267(a,1,1)),flip(a)]. given #4557 (H,wt=13): 4759 x * K(T(y,x),x) = K(x,y) \ x. [para(4756(a,1),4118(a,1,1)),flip(a)]. given #4558 (H,wt=13): 4761 K(T(x,y),y) = K(x,(x * y) / x). [hyper(227,a,4754,a,b,4758,a)]. given #4559 (H,wt=13): 4762 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(227,a,4756,a(flip),b,4758,a)]. given #4560 (H,wt=11): 4764 K(T(x,y),T(y,x)) = K(x,y). [para(1938(a,1),4762(a,1,1))]. given #4561 (H,wt=14): 4760 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4757(a,1),282(a,1,2)),flip(b)]. given #4562 (H,wt=15): 4748 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(72,a,4741,a,b,xx)]. given #4563 (H,wt=16): 4719 T(x,T(y,x)) \ x != z | y \ T(y,x) = z. [para(1938(a,2),4702(a,1,1))]. given #4564 (H,wt=16): 4765 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(115(a,1),4760(a,1,1,1))]. given #4565 (H,wt=16): 4766 K(x,y) \ 1 != z | K(y,(y * x) / y) = z. [para(160(a,1),4760(a,1,1,1))]. given #4566 (H,wt=16): 4767 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4758(a,2),4760(a,1))]. given #4567 (H,wt=17): 4692 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,2958,a,b,4686,a),flip(a)]. given #4568 (H,wt=17): 4716 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4707(a,1),1286(a,1,1))]. given #4569 (H,wt=17): 4717 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(4707(a,1),1286(a,2,2)),flip(a)]. given #4570 (H,wt=17): 4718 T(x * (T(x,y) \ x),y) = L(R(x,z,x),z,x). [hyper(227,a,2481,a,b,4715,a)]. given #4571 (H,wt=17): 4729 x * ((y * (x \ 1)) / y) = T(y,x \ 1) / y. [hyper(73,a,4727,a(flip),b,3953,a(flip)),flip(a)]. given #4572 (H,wt=17): 4737 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(420,a,4732,a(flip),b,4038,a)]. given #4573 (H,wt=17): 4749 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(65(a,1),4741(a,2,2,1))]. given #4574 (H,wt=17): 4763 K(T(x,y),y) * z = K(x,(x * y) / x) * z. [hyper(22,a,4761,a)]. given #4575 (H,wt=17): 4773 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [para(4716(a,1),62(a,1,2))]. given #4576 (H,wt=17): 4774 T((x * y) / x,T(x,y)) = L(R(y,z,y),z,y). [para(4711(a,2),4718(a,1,1))]. given #4577 (H,wt=17): 4775 ((x * (1 / y)) / x) * y = T(x,y \ 1) / x. [hyper(1495,a,4729,a)]. given #4578 (H,wt=17): 4778 K(x,(x * y) / x) * (K(T(x,y),y) \ z) = z. [hyper(205,a,4763,a)]. given #4579 (H,wt=15): 4781 (K(x,y) \ 1) * (K(T(y,x),x) \ z) = z. [para(4754(a,1),4778(a,1,1))]. given #4580 (H,wt=14): 4782 K(T(x,y),y) != z | K(y,x) \ 1 = z. [para(4781(a,1),154(a,1))]. given #4581 (H,wt=16): 4783 K(1 / x,x) != y | K(x,x \ 1) \ 1 = y. [para(798(a,1),4782(a,1,1))]. given #4582 (H,wt=18): 4694 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(4686(a,1),1627(a,1,2))]. given #4583 (H,wt=18): 4705 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(4701(a,2),3144(a,1))]. given #4584 (H,wt=18): 4706 T(x,y \ 1) \ x != z | K(x \ (x / y),x) = z. [para(4701(a,2),3162(a,1))]. given #4585 (H,wt=18): 4725 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(4720(a,1),282(a,1,2)),flip(b)]. given #4586 (H,wt=18): 4750 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(385(a,2),4741(a,2,2)),flip(a)]. given #4587 (H,wt=18): 4755 K(x,1 / x) != y * z | y \ K(x,x \ 1) = z. [para(4753(a,1),3733(a,1))]. given #4588 (H,wt=18): 4769 K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. [para(4758(a,2),4765(a,1))]. given #4589 (H,wt=19): 4695 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3140(a,1),4686(a,1,2)),flip(a)]. given #4590 (H,wt=19): 4723 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4704(a,2),2625(a,1,1))]. given #4591 (H,wt=19): 4731 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(227,a,4058,a(flip),b,4730,a(flip)),flip(a)]. given #4592 (H,wt=19): 4740 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4732(a,1),3062(a,1,1,2))]. given #4593 (H,wt=19): 4746 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(114(a,2),4728(a,1,2,1))]. given #4594 (H,wt=19): 4771 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(227,a,2143,a,b,4692,a(flip)),flip(a)]. given #4595 (H,wt=19): 4787 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,1670,a,b,4731,a),flip(a)]. given #4596 (H,wt=19): 4789 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(227,a,4739,a(flip),b,4740,a),flip(a)]. given #4597 (H,wt=19): 4791 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(227,a,3672,a(flip),b,4787,a(flip))]. given #4598 (H,wt=18): 4792 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(155(a,2),4791(a,1,2))]. given #4599 (H,wt=20): 4776 T(x,y \ 1) / x != z | ((x * (1 / y)) / x) * y = z. [para(4729(a,1),1495(a,1))]. given #4600 (H,wt=21): 4747 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(72,a,4741,a,b,2553,a)]. given #4601 (H,wt=21): 4752 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(4741(a,2),1968(a,1,1)),flip(a)]. given #4602 (H,wt=21): 4780 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,z,y),z,y). [para(2524(a,1),4774(a,1,1))]. given #4603 (H,wt=15): 4794 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(227,a,2481,a(flip),b,4780,a)]. given #4604 (H,wt=13): 4795 K(x,x \ T(x * y,y)) = K(x,y). [para(4794(a,1),2895(a,1,2)),flip(a)]. given #4605 (H,wt=16): 4796 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(227,a,2543,a,b,4795,a(flip))]. given #4606 (H,wt=15): 4797 K(x,y) = T(y * x,y) \ T(x * y,y). [para(2530(a,1),4796(a,2,1))]. given #4607 (H,wt=13): 4798 K(x \ T(x * y,x),x) = K(y,x). [hyper(227,a,2598,a(flip),b,4797,a),flip(a)]. given #4608 (H,wt=13): 4799 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4798(a,1,1,2,1))]. given #4609 (H,wt=13): 4800 K(x \ (y \ x),x) = K(y \ 1,x). [para(1201(a,1),4798(a,1,1,2))]. given #4610 (H,wt=13): 4801 K(x \ (y / (x \ 1)),x) = K(y,x). [para(1231(a,1),4798(a,1,1,2))]. given #4611 (H,wt=13): 4802 K((x / y) \ 1,x) = K(x \ y,x). [para(65(a,1),4800(a,1,1,2)),flip(a)]. given #4612 (H,wt=13): 4803 K(x * (y \ 1),y) = K(y \ x,y). [para(15(a,1),4801(a,1,1,2)),flip(a)]. given #4613 (H,wt=13): 4804 K(x * (1 / y),y) = K(y \ x,y). [hyper(227,a,4235,a,b,4803,a(flip)),flip(a)]. given #4614 (H,wt=15): 4805 x * K(x * (y \ 1),y) = (y \ x) * y. [para(4803(a,2),236(a,1,2))]. given #4615 (H,wt=15): 4806 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(666(a,2),4803(a,1,1))]. given #4616 (H,wt=17): 4807 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(62(a,1),4804(a,1,1,2)),flip(a)]. given #4617 (H,wt=19): 4808 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(48(a,1),4805(a,1,2,1)),flip(a)]. given #4618 (H,wt=19): 4809 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(65(a,1),4805(a,1,2,1,2)),flip(a)]. given #4619 (H,wt=19): 4810 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4807(a,1),236(a,1,2)),flip(a)]. given #4620 (H,wt=22): 4751 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(4741(a,2),111(a,1,1,1)),flip(a)]. given #4621 (H,wt=22): 4768 x * ((y \ x) / x) != z * u | z \ (y \ T(x,y \ 1)) = u. [para(4748(a,1),392(a,1,2))]. given #4622 (H,wt=22): 4788 T(x * y,x \ 1) != x * z | (x * y) * (y / (x * y)) = z. [para(4731(a,1),19(a,1))]. given #4623 (H,wt=22): 4790 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4746(a,2),19(a,1))]. given #4624 (H,wt=22): 4812 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(227,a,2535,a(flip),b,4751,a(flip)),flip(a)]. given #4625 (H,wt=23): 4681 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(73,a,4677,a(flip),b,184,a)]. given #4626 (H,wt=23): 4683 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(73,a,4678,a(flip),b,3574,a),flip(a)]. given #4627 (H,wt=21): 4813 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(227,a,2579,a(flip),b,4683,a(flip)),flip(a)]. given #4628 (H,wt=23): 4744 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4742(a,1),1804(a,1,1))]. given #4629 (H,wt=23): 4770 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(4498,a,4692,a)]. given #4630 (H,wt=21): 4815 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4692(a,1),4770(a,1,1))]. given #4631 (H,wt=23): 4811 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(14(a,1),4810(a,2,2,1))]. given #4632 (H,wt=23): 4814 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(227,a,3658,a(flip),b,4744,a)]. given #4633 (H,wt=24): 4785 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(65(a,1),4750(a,2,2,2))]. given #4634 (H,wt=24): 4816 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3958(a,1),4785(a,1,2))]. given #4635 (H,wt=23): 4817 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4816(a,1),4243(a,1,2)),flip(a)]. given #4636 (H,wt=19): 4818 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(227,a,4244,a(flip),b,4817,a),flip(a)]. given #4637 (H,wt=25): 4786 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(2574(a,1),4695(a,2,2))]. given #4638 (H,wt=25): 4793 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(73,a,4792,a(flip),b,1481,a),flip(a)]. given #4639 (H,wt=21): 4820 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(227,a,4697,a(flip),b,4793,a(flip)),flip(a)]. given #4640 (H,wt=18): 4821 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(227,a,3050,a(flip),b,4820,a(flip)),flip(a)]. given #4641 (H,wt=22): 4822 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),4821(a,1,1,1)),flip(a)]. given #4642 (H,wt=18): 4823 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),4822(a,1,1,1)),flip(a)]. given #4643 (H,wt=26): 4709 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(4347,a,4696,a)]. given #4644 (H,wt=22): 4824 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(227,a,4580,a(flip),b,4709,a(flip)),flip(a)]. given #4645 (H,wt=22): 4825 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3736(a,1),4824(a,2,1))]. given #4646 (H,wt=19): 4826 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(227,a,4823,a(flip),b,4825,a(flip))]. given #4647 (H,wt=13): 4827 (x * y) / (y * x) = T(y,x) \ y. [para(2471(a,1),4826(a,1,1)),flip(a)]. given #4648 (H,wt=13): 4829 (T(x,y) \ x) * (x * y) = y * x. [para(4827(a,1),16(a,1,1))]. given #4649 (H,wt=13): 4831 K(x,y) = T(T(y,x) \ y,y * x). [hyper(166,a,4829,a,b,92,a),flip(a)]. given #4650 (H,wt=13): 4834 K(x,y) = T(x \ T(x,y),y * x). [para(4701(a,1),4831(a,2,1))]. given #4651 (H,wt=15): 4828 T(x,y / x) \ x = y / (x * (y / x)). [hyper(409,a,4827,a),flip(a)]. given #4652 (H,wt=15): 4836 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(227,a,4714,a(flip),b,4828,a(flip))]. given #4653 (H,wt=16): 4832 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4829(a,1),293(a,1,1)),flip(b)]. given #4654 (H,wt=17): 4830 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),4827(a,1,2)),flip(a)]. given #4655 (H,wt=15): 4837 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),4830(a,1,1)),flip(a)]. given #4656 (H,wt=15): 4838 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(227,a,4724,a(flip),b,4837,a)]. given #4657 (H,wt=19): 4835 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(227,a,4789,a,b,4834,a),flip(a)]. given #4658 (H,wt=17): 4840 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3052(a,1),4835(a,1,2,2,1))]. given #4659 (H,wt=17): 4841 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4840(a,1),14(a,1,2)),flip(a)]. given #4660 (H,wt=13): 4842 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4790,a,4841,a)]. given #4661 (H,wt=17): 4843 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(227,a,4818,a,b,4842,a(flip)),flip(a)]. given #4662 (H,wt=13): 4844 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(227,a,4220,a(flip),b,4843,a)]. given #4663 (H,wt=13): 4845 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(227,a,4240,a,b,4844,a(flip)),flip(a)]. given #4664 (H,wt=13): 4847 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),4845(a,1,1,2)),flip(a)]. given #4665 (H,wt=15): 4846 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(227,a,4802,a,b,4845,a(flip)),flip(a)]. given #4666 (H,wt=15): 4848 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),4847(a,2,1))]. given #4667 (H,wt=17): 4849 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(62(a,1),4847(a,1,1,1)),flip(a)]. given #4668 (H,wt=15): 4851 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(227,a,4807,a(flip),b,4849,a(flip)),flip(a)]. given #4669 (H,wt=17): 4850 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(1671(a,1),4848(a,1,1))]. given #4670 (H,wt=17): 4853 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(227,a,4241,a(flip),b,4850,a(flip)),flip(a)]. given #4671 (H,wt=17): 4854 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4853(a,1),4756(a,1,1))]. given #4672 (H,wt=13): 4855 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4760,a,4854,a),flip(a)]. given #4673 (H,wt=17): 4856 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(227,a,4341,a(flip),b,4855,a(flip))]. given #4674 (H,wt=19): 4839 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(227,a,4771,a(flip),b,4838,a(flip))]. given #4675 (H,wt=17): 4857 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4839(a,1),3150(a,1,1))]. given #4676 (H,wt=13): 4858 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3142,a,4857,a),flip(a)]. given #4677 (H,wt=13): 4859 T(x,(x / y) \ 1) = T(x,x \ y). [para(65(a,1),4858(a,1,2,2)),flip(a)]. given #4678 (H,wt=15): 4863 (x / y) \ T(x,x \ y) = x * (y / x). [para(4859(a,1),4749(a,1,2))]. given #4679 (H,wt=17): 4864 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),4863(a,2,2))]. given #4680 (H,wt=15): 4865 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),4864(a,1,2,2))]. given #4681 (H,wt=13): 4866 (x / (y * x)) \ T(x,y) = x * y. [para(1938(a,1),4865(a,1,2))]. given #4682 (H,wt=13): 4867 T(x,y) = (x / (y * x)) * (x * y). [para(4866(a,1),14(a,1,2)),flip(a)]. given #4683 (H,wt=14): 4869 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(73,a,4867,a,b,384,a)]. given #4684 (H,wt=15): 4870 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(764,a,4869,a)]. given #4685 (H,wt=17): 4871 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),4870(a,1,3)),flip(a)]. given #4686 (H,wt=18): 4872 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4871(a,1),388(a,1,1))]. given #4687 (H,wt=15): 4873 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4872(a,1),887(a,1,2))]. given #4688 (H,wt=19): 4860 x \ ((y \ (z \ y)) \ (z \ y)) = x \ T(y,z \ 1). [para(4858(a,1),418(a,1,2)),flip(a)]. given #4689 (H,wt=19): 4861 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4858(a,1),4747(a,1,1))]. given #4690 (H,wt=19): 4862 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4858(a,1),4752(a,1,2)),flip(a)]. given #4691 (H,wt=20): 4833 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(4829(a,1),167(a,2))]. given #4692 (H,wt=20): 4868 (x / (y * x)) * (x * y) != z * u | T(x,y) / u = z. [para(4866(a,1),276(a,1,2))]. given #4693 (H,wt=22): 4875 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4862(a,1),4812(a,2,1))]. given #4694 (H,wt=23): 4852 (((x \ 1) \ y) * (x \ (1 / x))) * x = y * K(x * y,x \ 1). [para(4849(a,1),2357(a,2,2))]. given #4695 (H,wt=21): 4876 ((x * (y * (1 / x))) / x) * x = y * K(x * y,x \ 1). [para(3393(a,1),4852(a,1,1))]. given #4696 (H,wt=17): 4877 x * K(y * x,y \ 1) = y * (x * (1 / y)). [hyper(207,a,4876,a)]. given #4697 (H,wt=20): 4878 x * K(y * x,y \ 1) != z | y * (x * (1 / y)) = z. [para(4876(a,1),207(a,1)),flip(b)]. given #4698 (H,wt=28): 4592 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(3615(a,2),4576(a,1))]. given #4699 (H,wt=28): 4635 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(227,a,3091,a(flip),b,4617,a(flip))]. given #4700 (H,wt=19): 4880 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(227,a,4660,a(flip),b,4635,a(flip))]. given #4701 (H,wt=17): 4881 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(3084(a,1),4880(a,1,3)),flip(a)]. given #4702 (H,wt=21): 4882 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(2259(a,1),4881(a,1,2)),flip(a)]. given #4703 (H,wt=17): 4884 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(2259(a,1),4882(a,1,3)),flip(a)]. given #4704 (H,wt=28): 4819 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4786(a,2),19(a,1))]. given #4705 (H,wt=29): 4633 (((x / y) \ 1) * (x * x)) \ (((x / y) \ 1) * z) = (1 / (y * x)) / (z \ (x / y)). [para(1009(a,1),4595(a,2,1))]. given #4706 (H,wt=27): 4885 (((x / y) \ x) * x) \ (((x / y) \ 1) * z) = (1 / (y * x)) / (z \ (x / y)). [para(913(a,1),4633(a,1,1))]. given #4707 (H,wt=23): 4886 (1 / (x * y)) / (z \ (y / x)) = (x * y) \ (((y / x) \ 1) * z). [para(65(a,1),4885(a,1,1,1)),flip(a)]. given #4708 (H,wt=23): 4887 (1 / (x * y)) / (z \ (y / x)) = (x * y) \ ((x * (y \ 1)) * z). [para(125(a,1),4886(a,2,2,1))]. given #4709 (H,wt=26): 4889 (x * y) \ ((x * (y \ 1)) * z) != u | 1 / ((z \ (y / x)) * (x * y)) = u. [para(4887(a,1),349(a,1))]. given #4710 (H,wt=29): 4637 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) != u | y / (z * K(x \ 1,x)) = u. [para(4617(a,1),3759(a,1,1))]. given #4711 (H,wt=29): 4684 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4678(a,1),4379(a,1,1)),flip(a)]. given #4712 (H,wt=27): 4890 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),4684(a,2,1,1,2))]. given #4713 (H,wt=23): 4891 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(65(a,1),4890(a,2,2))]. given #4714 (H,wt=29): 4779 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4773(a,1),2418(a,2,2,1,2))]. given #4715 (H,wt=25): 4892 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(227,a,2644,a(flip),b,4779,a(flip))]. given #4716 (H,wt=23): 4893 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(113(a,1),4892(a,2,1,2))]. given #4717 (H,wt=21): 4894 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4717(a,1),4893(a,1,2,1))]. given #4718 (H,wt=17): 4895 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4806(a,1),4894(a,1,2)),flip(a)]. given #4719 (H,wt=9): 4896 T(x,(y \ x) * y) = x. [hyper(2633,a,4895,a)]. given #4720 (H,wt=15): 4897 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(1293,a,4895,a)]. given #4721 (H,wt=17): 4899 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),4897(a,1,1,1)),flip(a)]. given #4722 (H,wt=13): 4900 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(227,a,767,a(flip),b,4899,a(flip)),flip(a)]. given #4723 (H,wt=20): 4898 ((x \ y) * x) / y != z | (1 / y) * ((x \ y) * x) = z. [para(4896(a,1),1207(a,1,2))]. given #4724 (H,wt=30): 4710 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4698(a,1),2441(a,1,2,2,1))]. given #4725 (H,wt=28): 4902 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4698(a,1),4710(a,2,2))]. given #4726 (H,wt=31): 4634 (((x / y) \ 1) * (y \ 1)) \ (((x / y) \ 1) * z) = (y * (x * (1 / y))) / (z \ (x / y)). [para(3379(a,1),4595(a,2,1))]. given #4727 (H,wt=31): 4772 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4692(a,1),4041(a,2,2,1))]. given #4728 (H,wt=31): 4777 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4737(a,1),3792(a,2,1,2))]. given #4729 (H,wt=29): 4904 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3551(a,1),4777(a,1,1,1))]. given #4730 (H,wt=27): 4905 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4603(a,1),4904(a,1,1,1))]. given #4731 (H,wt=25): 4906 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),4905(a,1,1))]. given #4732 (H,wt=21): 4907 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4748(a,1),4906(a,2,1))]. given #4733 (H,wt=17): 4908 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(227,a,16,a(flip),b,4907,a)]. given #4734 (H,wt=19): 4911 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4908(a,1),3558(a,1,1)),flip(a)]. given #4735 (H,wt=19): 4912 (x \ (y \ 1)) * (1 / (y \ 1)) = (x \ y) * (1 / y). [hyper(227,a,2112,a(flip),b,4911,a(flip)),flip(a)]. given #4736 (H,wt=20): 4909 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(4907(a,2),207(a,1)),flip(b)]. given #4737 (H,wt=25): 4913 (x * (y * (x * y))) \ (1 / (x \ 1)) = (x * y) \ ((y \ x) * (1 / x)). [hyper(72,a,4912,a(flip),b,3409,a),flip(a)]. given #4738 (H,wt=26): 4914 (x \ (y \ 1)) * (1 / (y \ 1)) != z * u | z \ ((x \ y) * (1 / y)) = u. [para(4912(a,2),457(a,1))]. given #4739 (H,wt=31): 4903 ((x * (y \ 1)) * (x \ 1)) \ (((y / x) \ 1) * z) = (x * (y * (1 / x))) / (z \ (y / x)). [para(125(a,1),4634(a,1,1,1))]. given #4740 (H,wt=29): 4915 T(x \ 1,y \ 1) \ (((x / y) \ 1) * z) = (y * (x * (1 / y))) / (z \ (x / y)). [para(639(a,1),4903(a,1,1))]. given #4741 (H,wt=29): 4916 T(x \ 1,y \ 1) \ ((y * (x \ 1)) * z) = (y * (x * (1 / y))) / (z \ (x / y)). [para(125(a,1),4915(a,1,2,1))]. given #4742 (H,wt=32): 4623 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(4575(a,1),28(a,2,1)),flip(a)]. given #4743 (H,wt=32): 4917 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(4575(a,1),4623(a,1,2))]. given #4744 (H,wt=24): 4918 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(1158,a,4917,a)]. given #4745 (H,wt=15): 4919 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(4585,a,4918,a)]. given #4746 (H,wt=15): 4921 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(3099(a,2),4919(a,1,3))]. given #4747 (H,wt=17): 4922 L(x,y,z * (1 / u)) = L(x,y,z * (u \ 1)). [para(3566(a,1),4919(a,1,3)),flip(a)]. given #4748 (H,wt=17): 4923 L(x,y,z * ((u \ 1) \ 1)) = L(x,y,z * u). [para(3757(a,1),4919(a,1,3)),flip(a)]. given #4749 (H,wt=17): 4924 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3727(a,1),4921(a,1,3)),flip(a)]. given #4750 (H,wt=17): 4925 L(x,y,(z \ u) * (1 / u)) = L(x,y,z \ 1). [para(124(a,1),4922(a,2,3))]. given #4751 (H,wt=17): 4926 L(x,y,z / (z \ u)) = L(x,y,z * (u \ z)). [para(1464(a,1),4923(a,1,3))]. given #4752 (H,wt=17): 4927 L(x,y,T(z * u,u \ 1)) = L(x,y,u * z). [para(1404(a,2),4924(a,1,3))]. given #4753 (H,wt=33): 4537 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(226(a,1),4534(a,1,1,1)),flip(a)]. given #4754 (H,wt=30): 4928 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(226(a,1),4537(a,2,2))]. given #4755 (H,wt=28): 4929 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(227,a,4266,a(flip),b,4928,a)]. given #4756 (H,wt=25): 4930 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(226(a,1),4929(a,1,2))]. given #4757 (H,wt=33): 4604 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(765(a,1),4600(a,1,1)),flip(a)]. given #4758 (H,wt=29): 4931 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(2259(a,1),4604(a,2,2))]. given #4759 (H,wt=25): 4932 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(62(a,1),4931(a,1,1))]. given #4760 (H,wt=15): 4933 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(227,a,4908,a(flip),b,4932,a)]. given #4761 (H,wt=17): 4934 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(709(a,1),4933(a,1,2,2,2))]. given #4762 (H,wt=19): 4935 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(270(a,1),4933(a,1,2,2,2))]. given #4763 (H,wt=17): 4936 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(227,a,4621,a(flip),b,4935,a(flip)),flip(a)]. given #4764 (H,wt=21): 4937 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4936(a,1),4609(a,1,2,1))]. given #4765 (H,wt=17): 4938 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(227,a,3646,a(flip),b,4937,a(flip)),flip(a)]. given #4766 (H,wt=17): 4939 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4938(a,1),4891(a,1,1))]. given #4767 (H,wt=13): 4940 ((x \ y) * x) / y = K(x \ y,x). [hyper(227,a,4897,a(flip),b,4939,a(flip))]. given #4768 (H,wt=13): 4942 K(x \ y,x) * y = (x \ y) * x. [para(4940(a,1),16(a,1,1))]. given #4769 (H,wt=9): 4943 T(x,K(y \ x,y)) = x. [hyper(443,a,4942,a)]. given #4770 (H,wt=11): 4945 T(x * y,K(y,x)) = x * y. [para(13(a,1),4943(a,1,2,1))]. given #4771 (H,wt=11): 4946 K(x,y) \ (x * y) = y * x. [hyper(417,a,4945,a)]. given #4772 (H,wt=11): 4947 K(x,y) = (x * y) / (y * x). [para(4945(a,1),243(a,1,2)),flip(a)]. given #4773 (H,wt=9): 4949 K(x,y) = T(y,x) \ y. [hyper(227,a,4827,a(flip),b,4947,a)]. given #4774 (H,wt=9): 4953 K(x,y) = y / T(y,x). [hyper(227,a,1085,a,b,4949,a)]. given #4775 (H,wt=9): 4958 K(x,y) = x \ T(x,y). [hyper(227,a,4701,a(flip),b,4949,a)]. given #4776 (H,wt=9): 4964 T(x,y) * K(y,x) = x. [para(4949(a,2),14(a,1,2))]. given #4777 (H,wt=9): 4967 T(x,y) = x / K(y,x). [para(4949(a,2),62(a,1,2)),flip(a)]. given #4778 (H,wt=9): 4970 K(x,y) * T(y,x) = y. [para(4949(a,2),1081(a,1,1))]. given #4779 (H,wt=9): 4971 T(x,y) = K(y,x) \ x. [para(4949(a,2),1086(a,1,1)),flip(a)]. given #4780 (H,wt=9): 4978 T(x * K(y,x),y) = x. [para(4949(a,2),4715(a,1,1,2))]. given #4781 (H,wt=9): 4993 K(x,y) = T(x,y) / x. [hyper(227,a,3133,a,b,4958,a)]. given #4782 (H,wt=9): 4996 T(x,y) = x * K(x,y). [para(4958(a,2),14(a,1,2)),flip(a)]. given #4783 (H,wt=9): 4999 T(x,y) / K(x,y) = x. [para(4958(a,2),62(a,1,2))]. given #4784 (H,wt=9): 5004 T(x,y) = K(x,y) * x. [para(4958(a,2),3135(a,1,1)),flip(a)]. given #4785 (H,wt=9): 5036 T(K(x,y) * y,x) = y. [para(2922(a,2),4978(a,1,1))]. given #4786 (H,wt=11): 4948 K(x,y) * (y * x) = x * y. [para(4946(a,1),14(a,1,2))]. given #4787 (H,wt=11): 4951 K(x,y) = ((y * x) / y) \ x. [hyper(227,a,4698,a,b,4949,a)]. given #4788 (H,wt=11): 4952 K(x,y) = (1 / T(y,x)) * y. [hyper(227,a,1090,a,b,4949,a)]. given #4789 (H,wt=11): 4954 K(x,y) = y * (T(y,x) \ 1). [hyper(227,a,664,a,b,4949,a)]. given #4790 (H,wt=11): 4959 K(T(x,y),y) = x \ T(x,y). [hyper(227,a,4700,a(flip),b,4949,a)]. given #4791 (H,wt=9): 5082 K(T(x,y),y) = K(x,y). [hyper(227,a,4958,a,b,4959,a)]. given #4792 (H,wt=9): 5084 K(x,y) \ 1 = K(y,x). [hyper(4782,a,5082,a)]. given #4793 (H,wt=9): 5086 K(x,T(y,x)) = K(x,y). [hyper(4767,a,5082,a),flip(a)]. given #4794 (H,wt=9): 5094 K(x,y) * K(y,x) = 1. [para(5082(a,1),4757(a,1,1))]. given #4795 (H,wt=9): 5101 1 / K(x,y) = K(y,x). [hyper(3271,a,5084,a)]. given #4796 (H,wt=11): 4961 K(x,y) / y = 1 / T(y,x). [hyper(73,a,4949,a,b,1090,a)]. given #4797 (H,wt=11): 4963 T(x,y) \ 1 = x \ K(y,x). [hyper(72,a,4949,a,b,664,a),flip(a)]. given #4798 (H,wt=11): 4972 T(x,y) = (K(y,x) / x) \ 1. [para(4949(a,2),1096(a,1,1,1)),flip(a)]. given #4799 (H,wt=11): 4975 ((x * y) / x) * K(y,x) = y. [para(4949(a,2),4691(a,1,2))]. given #4800 (H,wt=11): 4976 K(x,y) * ((y * x) / y) = x. [para(4949(a,2),4696(a,1,1))]. given #4801 (H,wt=11): 4977 (x * y) / x = y * K(x,y). [para(4949(a,2),4707(a,2,2))]. given #4802 (H,wt=11): 4988 K(x,y) = ((x * y) / x) / y. [hyper(227,a,4693,a,b,4958,a)]. given #4803 (H,wt=11): 4990 K(x,y) = y \ ((x * y) / x). [hyper(227,a,4690,a,b,4958,a)]. given #4804 (H,wt=11): 4992 K(x,y) = (1 / x) * T(x,y). [hyper(227,a,3139,a,b,4958,a)]. given #4805 (H,wt=11): 4994 K(x,y) = T(x,y) * (x \ 1). [hyper(227,a,665,a,b,4958,a)]. given #4806 (H,wt=11): 4995 T(x,y) \ K(x,y) = x \ 1. [hyper(72,a,4958,a,b,665,a)]. given #4807 (H,wt=11): 5008 (x * K(y,x)) * y = y * x. [para(4958(a,2),4685(a,1,1,2))]. given #4808 (H,wt=11): 5009 T(x,y) * K(y,T(x,y)) = x. [para(4958(a,2),4688(a,1,2))]. given #4809 (H,wt=11): 5010 (x * y) / x = K(x,y) * y. [para(4958(a,2),4689(a,1,1)),flip(a)]. given #4810 (H,wt=11): 5022 T(x,y) = 1 / (x \ K(y,x)). [hyper(227,a,4356,a,b,4971,a)]. given #4811 (H,wt=11): 5025 (x * K(y,x)) \ (y * x) = y. [para(4978(a,1),162(a,1,2,2))]. given #4812 (H,wt=11): 5061 x * (K(y,x) * y) = y * x. [para(5004(a,1),113(a,1,2))]. given #4813 (H,wt=11): 5083 x * K(T(x,y),y) = T(x,y). [para(4959(a,2),14(a,1,2))]. given #4814 (H,wt=11): 5085 K(x,y / x) = K(x,x \ y). [hyper(4769,a,5082,a)]. given #4815 (H,wt=11): 5087 K(x \ (y * x),x) = K(y,x). [para(32(a,1),5082(a,1,1))]. given #4816 (H,wt=11): 5088 K(x / y,y) = K(y \ x,y). [para(115(a,1),5082(a,1,1)),flip(a)]. given #4817 (H,wt=11): 5095 K(x,y) \ x = x * K(y,x). [para(5082(a,1),4759(a,1,2)),flip(a)]. given #4818 (H,wt=11): 5100 K(x * K(y,x),y) = K(x,y). [para(4978(a,1),5082(a,1,1)),flip(a)]. given #4819 (H,wt=11): 5122 K(x,T(y,x \ y)) = K(x,y). [para(2497(a,1),5086(a,1,2)),flip(a)]. given #4820 (H,wt=11): 5123 K(x,y * K(x,y)) = K(x,y). [para(4978(a,1),5086(a,1,2)),flip(a)]. given #4821 (H,wt=11): 5142 K(x,y) = x / ((y * x) / y). [hyper(85,a,4976,a),flip(a)]. given #4822 (H,wt=11): 5149 T(x,y \ x) = x * K(y,x). [hyper(2501,a,4977,a)]. given #4823 (H,wt=9): 5199 K(x,y \ x) = K(y,x). [hyper(17,a,4996,a(flip),b,5149,a(flip)),flip(a)]. given #4824 (H,wt=9): 5202 K(x / y,x) = K(x,y). [para(65(a,1),5199(a,1,2)),flip(a)]. given #4825 (H,wt=11): 5201 K(x * y,y) = K(x,x * y). [para(13(a,1),5199(a,1,2))]. given #4826 (H,wt=11): 5204 T(K(x,y),K(z,y)) = K(x,y). [para(5199(a,1),3067(a,1,2))]. given #4827 (H,wt=11): 5205 K(x \ y,y) = 1 / K(x,y). [para(5199(a,1),5101(a,1,2)),flip(a)]. given #4828 (H,wt=9): 5211 K(x \ y,y) = K(y,x). [hyper(227,a,5101,a(flip),b,5205,a)]. given #4829 (H,wt=9): 5215 K(x,x / y) = K(y,x). [hyper(227,a,768,a(flip),b,5211,a(flip))]. given #4830 (H,wt=11): 5206 T(x / y,K(x,y)) = x / y. [para(5202(a,1),3007(a,1,2))]. given #4831 (H,wt=11): 5207 T(K(x,y),K(x,z)) = K(x,y). [para(5202(a,1),3069(a,1,2))]. given #4832 (H,wt=11): 5208 T(x,K(y,y * T(x,z))) = x. [para(5201(a,1),2947(a,1,2))]. given #4833 (H,wt=11): 5212 K(x / y,x) = K(y \ x,x). [hyper(227,a,5202,a,b,5211,a),flip(a)]. given #4834 (H,wt=11): 5213 K((x \ y) \ y,y) = K(x,y). [hyper(227,a,5199,a(flip),b,5211,a)]. given #4835 (H,wt=11): 5214 K(x,(y \ x) \ x) = K(x,y). [hyper(227,a,5199,a,b,5211,a(flip)),flip(a)]. given #4836 (H,wt=11): 5216 K(x * y,x) = K(y,x * y). [hyper(227,a,767,a(flip),b,5211,a(flip))]. given #4837 (H,wt=11): 5217 K(x,x / y) = K(x,y \ x). [hyper(227,a,5199,a,b,5215,a)]. given #4838 (H,wt=12): 4979 K(x,y) != z | x \ T(x,y) = z. [para(4949(a,2),4702(a,1))]. given #4839 (H,wt=12): 5000 x * K(y,z) != T(y,z) | x = y. [para(4958(a,2),84(a,1,2))]. given #4840 (H,wt=12): 5001 x * K(x,y) != z | T(x,y) = z. [para(4958(a,2),205(a,1,2)),flip(b)]. given #4841 (H,wt=12): 5005 K(x,y) * x != z | T(x,y) = z. [para(4958(a,2),3142(a,1,1))]. given #4842 (H,wt=12): 5014 T(x,y) \ x != z | K(y,x) = z. [para(4964(a,1),282(a,1,2)),flip(b)]. given #4843 (H,wt=12): 5018 x * T(y,z) != y | K(z,y) = x. [para(4964(a,1),2940(a,1)),flip(a)]. given #4844 (H,wt=12): 5021 x / T(x,y) != z | K(y,x) = z. [para(4970(a,1),293(a,1,1)),flip(b)]. given #4845 (H,wt=12): 5047 T(x,y) != x * z | K(x,y) = z. [para(4996(a,2),19(a,1))]. given #4846 (H,wt=12): 5049 x \ T(x,y) != z | K(x,y) = z. [para(4996(a,2),282(a,1,2)),flip(b)]. given #4847 (H,wt=12): 5062 T(x,y) / x != z | K(x,y) = z. [para(5004(a,2),293(a,1,1)),flip(b)]. given #4848 (H,wt=12): 5071 T(x,y) != z | x * K(x,y) = z. [para(5004(a,2),3011(a,1))]. given #4849 (H,wt=12): 5096 K(x,y) \ 1 != z | K(y,x) = z. [para(5082(a,1),4760(a,1,1))]. given #4850 (H,wt=12): 5097 K(x,T(y,x)) != z | K(x,y) = z. [para(5082(a,1),4767(a,1))]. given #4851 (H,wt=12): 5098 K(x,y) != z | K(y,x) \ 1 = z. [para(5082(a,1),4782(a,1))]. given #4852 (H,wt=12): 5107 1 / K(x,y) != z | K(y,x) = z. [para(5084(a,1),292(a,1,2)),flip(b)]. given #4853 (H,wt=12): 5118 K(x,y) != z | 1 / K(y,x) = z. [para(5084(a,1),3271(a,1))]. given #4854 (H,wt=12): 5124 K(x,y) * z != 1 | K(y,x) = z. [para(5094(a,1),19(a,1)),flip(a)]. given #4855 (H,wt=12): 5153 T(x * K(y,x),y) != z | z = x. [para(4977(a,1),289(a,1,1))]. given #4856 (H,wt=12): 5242 K(x \ y,y) != z | K(y,x) = z. [para(5205(a,2),5107(a,1))]. given #4857 (H,wt=12): 5244 K(x,y) != z | K(y,x \ y) = z. [para(5213(a,1),5242(a,1))]. given #4858 (H,wt=13): 4950 K(x \ (x / y),x) = K(y \ 1,x). [hyper(227,a,4703,a,b,4949,a),flip(a)]. given #4859 (H,wt=13): 4956 x \ (y / (y / x)) = K(x \ y,x). [hyper(227,a,4712,a(flip),b,4949,a),flip(a)]. given #4860 (H,wt=13): 4957 x * T(x \ 1,y) = K(x \ 1,y). [hyper(227,a,4704,a(flip),b,4949,a),flip(a)]. given #4861 (H,wt=13): 4974 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4949(a,2),2983(a,1,2))]. given #4862 (H,wt=13): 4980 x / (x / y) = y * K(y \ x,y). [para(4949(a,2),4713(a,2,2))]. given #4863 (H,wt=13): 5011 (x \ y) * K(x,x \ y) = y / x. [para(4958(a,2),4687(a,1,2))]. given #4864 (H,wt=13): 5020 K(x,y / x) * (x \ y) = y / x. [para(115(a,1),4970(a,1,2))]. given #4865 (H,wt=13): 5024 T(T(x * K(y,x),z),y) = T(x,z). [para(4978(a,1),38(a,1,1)),flip(a)]. given #4866 (H,wt=13): 5037 T(x \ K(y,x \ 1),y) = x \ 1. [para(2954(a,1),4978(a,1,1))]. given #4867 (H,wt=13): 5038 T(K(x,y \ 1) / y,x) = 1 / y. [para(4230(a,1),4978(a,1,1))]. given #4868 (H,wt=13): 5046 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(227,a,2734,a,b,4996,a(flip)),flip(a)]. given #4869 (H,wt=13): 5055 (x \ y) \ y = K(x,y / x) * x. [hyper(1966,a,5004,a)]. given #4870 (H,wt=13): 5075 K(x,y) = x * (((y * x) / y) \ 1). [hyper(227,a,670,a,b,4951,a)]. given #4871 (H,wt=13): 5076 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(72,a,4951,a,b,670,a),flip(a)]. given #4872 (H,wt=13): 5077 T(x \ 1,y) * x = K(x \ y,x). [para(795(a,1),4952(a,2,1)),flip(a)]. given #4873 (H,wt=13): 5091 K(x * (y \ 1),x) = K(y \ x,x). [para(1201(a,1),5082(a,1,1)),flip(a)]. given #4874 (H,wt=13): 5102 (x \ K(y,z)) \ (x \ 1) = K(z,y). [hyper(567,a,5084,a)]. given #4875 (H,wt=13): 5104 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(72,a,5084,a(flip),b,48,a),flip(a)]. given #4876 (H,wt=13): 5105 (x \ K(y,z)) * K(z,y) = x \ 1. [para(5084(a,1),124(a,1,2))]. given #4877 (H,wt=13): 5106 (K(x,y) / z) \ 1 = z * K(y,x). [para(5084(a,1),125(a,2,2))]. given #4878 (H,wt=13): 5108 1 / (x * K(y,z)) = K(z,y) / x. [para(5084(a,1),263(a,1,2,2))]. given #4879 (H,wt=13): 5115 (K(x,y) * z) \ z = T(K(y,x),z). [para(5084(a,1),1193(a,1,1)),flip(a)]. given #4880 (H,wt=13): 5117 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5084(a,1),2929(a,2,2))]. given #4881 (H,wt=13): 5139 (x / y) * K(y \ x,y) = y \ x. [para(14(a,1),4975(a,1,1,1))]. given #4882 (H,wt=13): 5165 x * (y * K(x,y)) = T(x,y) * y. [para(4977(a,1),2551(a,2,2)),flip(a)]. given #4883 (H,wt=13): 5172 (x / y) / (y \ x) = K(y,y \ x). [para(14(a,1),4988(a,2,1,1)),flip(a)]. given #4884 (H,wt=13): 5191 x * K(y,y \ x) = y * (x / y). [para(5085(a,1),237(a,1,2))]. given #4885 (H,wt=13): 5194 (x * (y / x)) \ y = K(x \ y,x). [hyper(227,a,96,a,b,5088,a(flip)),flip(a)]. given #4886 (H,wt=13): 5222 K(x * y,T(y,x)) = K(x * y,y). [para(1962(a,2),5214(a,1,2))]. given #4887 (H,wt=11): 5301 K(x * y,y) = K(y * x,y). [hyper(2097,a,5222,a),flip(a)]. given #4888 (H,wt=13): 5252 x / (y * (x / y)) = K(y \ x,y). [hyper(227,a,4836,a,b,4956,a(flip)),flip(a)]. given #4889 (H,wt=13): 5265 (x * K(x \ y,x)) * (y / x) = y. [para(4980(a,1),16(a,1,1))]. given #4890 (H,wt=13): 5274 T(x,y * K(y,z)) = T(x,T(y,z)). [para(5046(a,1),2040(a,1,2))]. given #4891 (H,wt=13): 5279 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5076(a,1),1898(a,1,2))]. given #4892 (H,wt=13): 5281 x * T(1 / x,y) = K(x \ y,x). [hyper(227,a,802,a(flip),b,5077,a(flip)),flip(a)]. given #4893 (H,wt=13): 5290 K(x,y) / x = 1 / ((y * x) / y). [para(4977(a,2),5108(a,1,2)),flip(a)]. given #4894 (H,wt=11): 5311 K(x,y) / x = (y / x) / y. [hyper(227,a,1288,a(flip),b,5290,a)]. given #4895 (H,wt=11): 5312 (K(x,y) / x) * y = y / x. [para(5311(a,2),16(a,1,1))]. given #4896 (H,wt=13): 5291 (K(x,y) * z) * T(K(y,x),z) = z. [para(5115(a,1),14(a,1,2))]. given #4897 (H,wt=13): 5293 K(x,y) * (y \ K(y,x)) = y \ 1. [para(5117(a,1),48(a,1,2))]. given #4898 (H,wt=13): 5300 (x * (y / x)) * K(x \ y,x) = y. [para(5194(a,1),14(a,1,2))]. given #4899 (H,wt=13): 5303 K((x \ 1) * y,y) = K(x \ y,y). [hyper(227,a,5091,a(flip),b,5301,a)]. given #4900 (H,wt=13): 5304 T(x * K(x * y,x),y * x) = x. [para(5301(a,1),4978(a,1,1,2))]. given #4901 (H,wt=13): 5305 K(x \ y,x) * (x * (y / x)) = y. [para(5252(a,1),16(a,1,1))]. given #4902 (H,wt=13): 5310 T(x,x \ y) \ 1 = T(1 / x,y). [hyper(17,a,4954,a(flip),b,5281,a),flip(a)]. given #4903 (H,wt=13): 5315 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(85,a,5293,a)]. given #4904 (H,wt=13): 5317 ((x \ y) \ y) \ 1 = T(1 / x,y). [hyper(227,a,740,a(flip),b,5310,a(flip)),flip(a)]. given #4905 (H,wt=13): 5318 T(1 / (x / y),x) = (y \ x) \ 1. [para(709(a,1),5310(a,1,1)),flip(a)]. given #4906 (H,wt=14): 5026 x * y != z * x | y * K(x,y) = z. [para(4978(a,1),169(a,1,2)),flip(b)]. given #4907 (H,wt=14): 5027 (x * y) / x != z | y * K(x,y) = z. [para(4978(a,1),297(a,1,1,2)),flip(b)]. given #4908 (H,wt=14): 5072 (x * y) / x != z | K(x,y) * y = z. [para(5036(a,1),297(a,1,1,2)),flip(b)]. given #4909 (H,wt=14): 5078 K(x,y) != y * z | T(y,x) \ 1 = z. [para(4954(a,2),19(a,1))]. given #4910 (H,wt=14): 5099 K(x,x \ y) != z | K(x,y / x) = z. [para(5082(a,1),4769(a,1))]. given #4911 (H,wt=14): 5136 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(4961(a,2),281(a,1,1)),flip(b)]. given #4912 (H,wt=14): 5137 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4963(a,1),292(a,1,2)),flip(b)]. given #4913 (H,wt=14): 5157 T(x * K(y * x,x),y) = R(x,y,x). [para(4977(a,1),881(a,2,1)),flip(a)]. given #4914 (H,wt=14): 5171 ((x * y) / x) / y != z | K(x,y) = z. [para(4977(a,2),2924(a,1,1))]. given #4915 (H,wt=14): 5182 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(4995(a,1),205(a,1,2)),flip(b)]. given #4916 (H,wt=14): 5200 T(x,y \ x) != x * z | K(y,x) = z. [para(5149(a,2),19(a,1))]. given #4917 (H,wt=14): 5237 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),5097(a,1,2))]. given #4918 (H,wt=14): 5273 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(4651(a,1),5038(a,1,1,1))]. given #4919 (H,wt=14): 5275 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(5046(a,2),5001(a,1))]. given #4920 (H,wt=14): 5302 K(x * y,y) != z | K(y * x,y) = z. [para(5222(a,1),2097(a,1))]. given #4921 (H,wt=14): 5322 T(x * K(x * y,x),y) = R(x,y,x). [para(5301(a,1),5157(a,1,1,2))]. given #4922 (H,wt=15): 4941 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(4898,a,4940,a)]. given #4923 (H,wt=15): 4955 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(227,a,123,a,b,4949,a),flip(a)]. given #4924 (H,wt=15): 4962 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(72,a,4949,a,b,2985,a)]. given #4925 (H,wt=15): 4973 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(2525(a,1),4949(a,2,1))]. given #4926 (H,wt=13): 5330 K(x * (1 / y),x) = K(y \ x,x). [hyper(227,a,4949,a,b,4973,a)]. given #4927 (H,wt=13): 5332 K(x * (1 / y),x) = K(x / y,x). [hyper(227,a,5212,a,b,5330,a)]. given #4928 (H,wt=13): 5333 K((1 / x) * y,y) = K(x \ y,y). [hyper(227,a,5301,a,b,5330,a(flip)),flip(a)]. given #4929 (H,wt=13): 5334 K((x \ 1) \ y,y) = K(y * x,y). [para(62(a,1),5330(a,1,1,2)),flip(a)]. given #4930 (H,wt=11): 5335 K(x * y,x) = K(x,y \ 1). [hyper(5242,a,5334,a),flip(a)]. given #4931 (H,wt=11): 5336 K(x * y,y) = K(y,x \ 1). [hyper(227,a,5301,a,b,5335,a(flip)),flip(a)]. given #4932 (H,wt=11): 5337 K(x,y \ 1) = K(y,x * y). [hyper(227,a,5216,a(flip),b,5335,a(flip))]. given #4933 (H,wt=11): 5338 K(x,(x \ y) \ 1) = K(y,x). [para(14(a,1),5335(a,1,1)),flip(a)]. given #4934 (H,wt=11): 5340 K(x,y \ 1) = K(y,y * x). [hyper(227,a,5201,a(flip),b,5336,a(flip))]. given #4935 (H,wt=11): 5344 K(x,y * x) = K(x,x * y). [hyper(227,a,5337,a(flip),b,5340,a(flip)),flip(a)]. given #4936 (H,wt=11): 5345 K(x \ y,x \ 1) = K(x,y). [para(14(a,1),5340(a,2,2))]. given #4937 (H,wt=11): 5346 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5344(a,1,2)),flip(a)]. given #4938 (H,wt=13): 5339 K(x * K(y,z),x) = K(x,K(z,y)). [para(5084(a,1),5335(a,2,2))]. given #4939 (H,wt=13): 5342 K(x \ 1,y * (x \ 1)) = K(y,x). [hyper(227,a,4220,a(flip),b,5337,a(flip))]. given #4940 (H,wt=13): 5343 K(x,y \ 1) * y = T(y,x * y). [para(5337(a,2),5004(a,2,1)),flip(a)]. given #4941 (H,wt=13): 5348 K(x,y * (1 / x)) = K(x,x \ y). [para(2016(a,1),5346(a,1,2))]. given #4942 (H,wt=14): 5341 K(x,y \ 1) != z | K(x * y,x) = z. [para(5336(a,1),5302(a,1))]. given #4943 (H,wt=15): 4981 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4949(a,2),4717(a,1,2,2)),flip(a)]. given #4944 (H,wt=15): 4984 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4953(a,2),2771(a,1,2))]. given #4945 (H,wt=15): 4985 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [hyper(420,a,4958,a,b,665,a),flip(a)]. given #4946 (H,wt=15): 4989 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(227,a,4692,a,b,4958,a),flip(a)]. given #4947 (H,wt=15): 4991 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(227,a,3141,a,b,4958,a)]. given #4948 (H,wt=15): 5028 T(x * K(y,x),z) * y = y * T(x,z). [para(4978(a,1),175(a,1,2,1)),flip(a)]. given #4949 (H,wt=15): 5029 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4978(a,1),193(a,1,1,2,1)),flip(a)]. given #4950 (H,wt=15): 5040 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(227,a,4775,a,b,4993,a),flip(a)]. given #4951 (H,wt=13): 5372 (x / (x * y)) * y = K(x,y \ 1). [para(700(a,1),5040(a,1,1))]. given #4952 (H,wt=15): 5054 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(4018(a,1),4996(a,2,2)),flip(a)]. given #4953 (H,wt=15): 5056 K(x / y,x) \ ((1 / y) * x) = x / y. [hyper(647,a,5004,a)]. given #4954 (H,wt=15): 5057 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(439,a,5004,a),flip(a)]. given #4955 (H,wt=15): 5092 K(x / (x / y),y \ x) = K(y,y \ x). [para(2308(a,1),5082(a,1,1)),flip(a)]. given #4956 (H,wt=15): 5119 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),5086(a,1,2))]. given #4957 (H,wt=15): 5129 T(K(x,y) \ z,K(y,x)) = z * K(y,x). [para(5101(a,1),621(a,1,1,1))]. given #4958 (H,wt=15): 5130 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5101(a,1),625(a,2,1,1)),flip(a)]. given #4959 (H,wt=15): 5150 (1 / x) \ (y / (y * x)) = K(y,1 / x). [hyper(701,a,4977,a)]. given #4960 (H,wt=13): 5375 x / T(x,y \ 1) = K(y,1 / x). [hyper(703,a,5150,a)]. given #4961 (H,wt=11): 5376 K(x \ 1,y) = K(x,1 / y). [hyper(5021,a,5375,a)]. given #4962 (H,wt=11): 5378 K(x \ 1,y) = K(x,y \ 1). [hyper(227,a,4222,a(flip),b,5376,a)]. given #4963 (H,wt=11): 5379 K(x \ 1,y \ 1) = K(x,y). [para(62(a,1),5376(a,2,2))]. given #4964 (H,wt=11): 5382 K(1 / x,y) = K(x,y \ 1). [hyper(227,a,4018,a,b,5378,a(flip)),flip(a)]. given #4965 (H,wt=11): 5383 K(1 / x,y \ 1) = K(x,y). [hyper(227,a,768,a(flip),b,5378,a(flip))]. given #4966 (H,wt=11): 5391 K(x,x * (y \ 1)) = K(y,x). [hyper(227,a,5340,a(flip),b,5379,a(flip)),flip(a)]. given #4967 (H,wt=11): 5395 K(x,(1 / y) * x) = K(y,x). [hyper(227,a,5337,a(flip),b,5383,a(flip)),flip(a)]. given #4968 (H,wt=13): 5381 K(x \ 1,K(y,z)) = K(x,K(z,y)). [para(5101(a,1),5376(a,2,2))]. given #4969 (H,wt=13): 5384 x \ K(x,y \ 1) = T(x \ 1,y). [hyper(72,a,5378,a(flip),b,4957,a)]. given #4970 (H,wt=13): 5396 K(x,(1 / y) * x) = K(x,y \ x). [hyper(227,a,5199,a,b,5395,a)]. given #4971 (H,wt=13): 5398 K(x,(y \ 1) \ x) = K(x,y * x). [para(62(a,1),5396(a,1,2,1)),flip(a)]. given #4972 (H,wt=13): 5399 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(227,a,5344,a(flip),b,5398,a)]. given #4973 (H,wt=14): 5377 K(x,1 / y) != z | K(x \ 1,y) = z. [para(5375(a,1),5021(a,1))]. given #4974 (H,wt=14): 5380 K(x \ 1,y) != z | K(x,y \ 1) = z. [para(5376(a,2),4237(a,1))]. given #4975 (H,wt=14): 5393 K(x,y \ 1) != z | K(x \ 1,y) = z. [para(5382(a,1),4023(a,1))]. given #4976 (H,wt=14): 5403 K(1 / x,y) != z | K(x,y \ 1) = z. [para(4018(a,2),5380(a,1))]. given #4977 (H,wt=15): 5152 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,4977,a)]. given #4978 (H,wt=15): 5180 T(x,y * x) * (x \ 1) = K(x,x * y). [para(2461(a,2),4994(a,2,1)),flip(a)]. given #4979 (H,wt=14): 5404 K(x,x * y) != z | K(x,y * x) = z. [para(5180(a,1),5182(a,1))]. given #4980 (H,wt=14): 5405 K(x,y \ 1) != z | K(y,x * y) = z. [para(5340(a,2),5404(a,1))]. given #4981 (H,wt=14): 5406 K(x * y,x) != z | K(y,x * y) = z. [para(5335(a,2),5405(a,1))]. given #4982 (H,wt=15): 5181 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5084(a,1),4994(a,2,2)),flip(a)]. given #4983 (H,wt=15): 5189 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [hyper(227,a,4239,a,b,5085,a(flip)),flip(a)]. given #4984 (H,wt=15): 5209 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(5204(a,1),113(a,1,2))]. given #4985 (H,wt=15): 5219 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(5207(a,1),113(a,1,2))]. given #4986 (H,wt=15): 5262 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(73,a,4974,a(flip),b,140,a(flip))]. given #4987 (H,wt=15): 5271 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [para(5011(a,1),2214(a,1,1))]. given #4988 (H,wt=15): 5278 (x \ y) \ K(x \ y,x) = (y / x) \ 1. [para(14(a,1),5076(a,1,1,1)),flip(a)]. given #4989 (H,wt=15): 5286 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(3015(a,1),5104(a,1,1))]. given #4990 (H,wt=15): 5292 x * ((K(y,z) * x) \ x) = K(z,y) * x. [para(5115(a,2),113(a,1,2))]. given #4991 (H,wt=15): 5308 K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). [para(5279(a,1),190(a,1,2))]. given #4992 (H,wt=15): 5314 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(5207(a,1),5291(a,1,2))]. given #4993 (H,wt=15): 5321 (1 / (x / y)) * x = x * ((y \ x) \ 1). [para(5318(a,1),113(a,1,2)),flip(a)]. given #4994 (H,wt=15): 5351 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4977(a,1),4981(a,1,1))]. given #4995 (H,wt=15): 5352 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(4984(a,1),62(a,1,2))]. given #4996 (H,wt=15): 5365 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,430,a,b,5028,a),flip(a)]. given #4997 (H,wt=15): 5373 K(x \ y,y) \ ((1 / x) * y) = y / x. [para(5212(a,1),5056(a,1,1))]. given #4998 (H,wt=15): 5385 T(x,y \ 1) \ 1 = x \ K(y,x \ 1). [hyper(72,a,5378,a(flip),b,4954,a(flip)),flip(a)]. given #4999 (H,wt=15): 5388 K(x,x \ 1) * (y * K(x,x \ 1)) = y. [para(5378(a,1),3720(a,1,2,2))]. given #5000 (H,wt=15): 5407 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(4222(a,1),5262(a,1,2))]. given #5001 (H,wt=15): 5408 (x \ y) \ K(x \ y,x) = x * (y \ 1). [hyper(227,a,125,a(flip),b,5278,a)]. given #5002 (H,wt=15): 5409 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [para(5308(a,1),744(a,1,1))]. given #5003 (H,wt=15): 5410 x \ (x / (1 / y)) = x * ((y \ x) \ 1). [hyper(227,a,1192,a,b,5321,a(flip)),flip(a)]. given #5004 (H,wt=15): 5411 (x * ((y \ x) \ 1)) \ 1 = x \ (x / y). [para(5321(a,1),250(a,1,1))]. given #5005 (H,wt=15): 5413 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4961(a,2),5352(a,1,2))]. given #5006 (H,wt=15): 5416 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5407(a,1),16(a,1,1)),flip(a)]. given #5007 (H,wt=15): 5419 ((x \ y) \ 1) \ (y \ 1) = y \ (y / x). [hyper(311,a,5411,a)]. given #5008 (H,wt=16): 4982 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4949(a,2),4705(a,1))]. given #5009 (H,wt=16): 5002 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(4958(a,2),102(a,1,1)),flip(a)]. given #5010 (H,wt=16): 5015 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(4964(a,1),307(a,1,2))]. given #5011 (H,wt=16): 5016 T(x,y) \ x != z * u | K(y,x) / u = z. [para(4964(a,1),458(a,1,2))]. given #5012 (H,wt=16): 5051 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(4996(a,2),307(a,1,2))]. given #5013 (H,wt=16): 5090 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(889(a,1),5082(a,1,1)),flip(a)]. given #5014 (H,wt=16): 5109 x \ 1 != y * K(z,u) | x \ K(u,z) = y. [para(5084(a,1),255(a,2,2))]. given #5015 (H,wt=16): 5110 x \ K(y,z) != u | (K(z,y) * x) \ 1 = u. [para(5084(a,1),288(a,1,2))]. given #5016 (H,wt=16): 5125 K(x,y) \ 1 != z * u | z \ K(y,x) = u. [para(5094(a,1),307(a,1,2))]. given #5017 (H,wt=16): 5126 (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. [para(5101(a,1),338(a,1,1,1))]. given #5018 (H,wt=16): 5127 K(x,y) \ (1 / z) != u | K(y,x) / z = u. [para(5101(a,1),350(a,1,1))]. given #5019 (H,wt=16): 5128 K(x,y) \ z != u | K(y,x) / (z \ 1) = u. [para(5101(a,1),580(a,1,1))]. given #5020 (H,wt=16): 5133 (K(x,y) * z) \ z != u | T(K(y,x),z) = u. [para(5101(a,1),1226(a,1,1,1))]. given #5021 (H,wt=16): 5160 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4977(a,1),844(a,1,1))]. given #5022 (H,wt=16): 5184 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(18,a,890,a,b,5008,a)]. given #5023 (H,wt=14): 5424 T(x,y) * K(x * y,x) = R(x,y,x). [para(2096(a,1),5184(a,1,2))]. given #5024 (H,wt=14): 5425 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(2941,a,5424,a)]. given #5025 (H,wt=16): 5227 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4703(a,2),5014(a,1))]. given #5026 (H,wt=16): 5236 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(249(a,2),5096(a,1))]. given #5027 (H,wt=16): 5254 K(x \ 1,y) != x * z | T(x \ 1,y) = z. [para(4957(a,1),19(a,1))]. given #5028 (H,wt=16): 5287 (K(x,y) / z) \ 1 != z * u | K(y,x) = u. [para(5106(a,2),19(a,1))]. given #5029 (H,wt=16): 5316 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5293(a,1),293(a,1,1)),flip(b)]. given #5030 (H,wt=16): 5331 K(x * (1 / y),x) != z | K(y \ x,x) = z. [para(4973(a,2),5014(a,1))]. given #5031 (H,wt=14): 5428 K(x / y,x) != z | K(y \ x,x) = z. [para(5332(a,1),5331(a,1))]. given #5032 (H,wt=12): 5429 K(x,y) != z | K(y \ x,x) = z. [para(5202(a,1),5428(a,1))]. given #5033 (H,wt=16): 5350 K(x,K(y,z)) != u | K(x * K(z,y),x) = u. [para(5084(a,1),5341(a,1,2))]. given #5034 (H,wt=16): 5369 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(5029(a,2),289(a,1,1)),flip(b)]. given #5035 (H,wt=16): 5401 K(x,K(y,z)) != u | K(x \ 1,K(z,y)) = u. [para(5101(a,1),5377(a,1,2))]. given #5036 (H,wt=17): 4983 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4949(a,2),4723(a,1,1)),flip(a)]. given #5037 (H,wt=15): 5430 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5227,a,4983,a)]. given #5038 (H,wt=15): 5432 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(65(a,1),5430(a,2,1,1))]. given #5039 (H,wt=15): 5433 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(4017(a,1),5430(a,2,1))]. given #5040 (H,wt=13): 5436 K((x \ y) \ y,z) = T(K(x,z),y). [para(787(a,1),5433(a,1,1))]. given #5041 (H,wt=13): 5438 T(K(x / y,z),x) = K(y \ x,z). [para(65(a,1),5436(a,1,1,1)),flip(a)]. given #5042 (H,wt=13): 5440 K(T(x,x \ y),z) = T(K(x,z),y). [para(114(a,2),5436(a,1,1))]. given #5043 (H,wt=14): 5439 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5436(a,2),152(a,1)),flip(b)]. given #5044 (H,wt=12): 5444 T(K(x,y),x) != z | K(x,y) = z. [para(4016(a,2),5439(a,1))]. given #5045 (H,wt=14): 5442 K(x \ 1,y) != z | K(1 / x,y) = z. [para(5438(a,1),152(a,1)),flip(b)]. given #5046 (H,wt=15): 5435 K(x * K(y,x \ 1),z) = T(K(x,z),y). [para(5416(a,1),5432(a,1,1))]. given #5047 (H,wt=16): 5445 K(x \ 1,K(y,z)) != u | K(x,K(z,y)) = u. [para(5381(a,1),5439(a,1))]. given #5048 (H,wt=17): 5006 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(4958(a,2),4261(a,1,2))]. given #5049 (H,wt=17): 5019 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(4224(a,1),4967(a,2,2)),flip(a)]. given #5050 (H,wt=17): 5030 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4978(a,1),176(a,1,2,1)),flip(a)]. given #5051 (H,wt=17): 5031 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4978(a,1),177(a,1,2,1)),flip(a)]. given #5052 (H,wt=17): 5035 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4978(a,1),1951(a,1,2,1)),flip(a)]. given #5053 (H,wt=17): 5081 (x \ y) * ((1 / y) * x) = K(y \ x,x \ y). [para(3255(a,1),4954(a,2,2)),flip(a)]. given #5054 (H,wt=17): 5111 1 / (x * (y * K(z,u))) = (K(u,z) / y) / x. [para(5084(a,1),327(a,1,2,2,2))]. given #5055 (H,wt=17): 5112 (1 / x) \ (K(y,z) * u) = x / (u \ K(z,y)). [para(5084(a,1),340(a,1,2,2)),flip(a)]. given #5056 (H,wt=17): 5113 (1 / x) \ (K(y,z) / u) = x / (u * K(z,y)). [para(5084(a,1),341(a,1,2,2)),flip(a)]. given #5057 (H,wt=17): 5121 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(180(a,1),5086(a,1,2)),flip(a)]. given #5058 (H,wt=17): 5132 ((x \ 1) \ 1) * K(y,z) = 1 / (K(z,y) / x). [para(5101(a,1),1079(a,1,2))]. given #5059 (H,wt=17): 5147 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4819,a,4977,a)]. given #5060 (H,wt=17): 5158 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4977(a,1),1477(a,1,1))]. given #5061 (H,wt=17): 5159 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4977(a,1),1482(a,1,1))]. given #5062 (H,wt=17): 5221 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,5208,a)]. given #5063 (H,wt=17): 5232 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(829(a,2),5049(a,1,2))]. given #5064 (H,wt=17): 5246 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(227,a,2645,a(flip),b,4950,a(flip)),flip(a)]. given #5065 (H,wt=17): 5247 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(227,a,2419,a(flip),b,4950,a(flip)),flip(a)]. given #5066 (H,wt=17): 5248 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4950(a,1),2418(a,2,2))]. given #5067 (H,wt=17): 5251 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4950(a,1),2646(a,1,1))]. given #5068 (H,wt=17): 5267 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4980(a,1),2566(a,1,2))]. given #5069 (H,wt=17): 5268 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4799(a,1),4980(a,2,2))]. given #5070 (H,wt=17): 5285 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5104(a,1),1543(a,1,2,1))]. given #5071 (H,wt=17): 5289 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(3012(a,1),5108(a,1,2))]. given #5072 (H,wt=17): 5349 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(62(a,1),5348(a,1,2,2)),flip(a)]. given #5073 (H,wt=15): 5472 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(227,a,4856,a(flip),b,5349,a(flip))]. given #5074 (H,wt=17): 5363 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,5008,a,b,5028,a),flip(a)]. given #5075 (H,wt=17): 5367 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(227,a,5010,a(flip),b,5029,a),flip(a)]. given #5076 (H,wt=17): 5368 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(72,a,5029,a,b,4977,a(flip))]. given #5077 (H,wt=17): 5370 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5029(a,2),4951(a,2,1)),flip(a)]. given #5078 (H,wt=17): 5387 K(x,x \ 1) * (y * (1 / x)) = y * (x \ 1). [para(5378(a,1),3568(a,1,1))]. given #5079 (H,wt=17): 5392 K(x * K(y,z),u \ 1) = K(K(z,y) / x,u). [para(5106(a,1),5379(a,1,1))]. given #5080 (H,wt=17): 5397 x \ K(x,y \ (z \ 1)) = T(x \ 1,z * y). [para(123(a,1),5384(a,1,2,2))]. given #5081 (H,wt=17): 5441 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(227,a,2961,a(flip),b,5438,a(flip)),flip(a)]. given #5082 (H,wt=17): 5452 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(227,a,769,a(flip),b,5147,a)]. given #5083 (H,wt=17): 5464 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(73,a,5248,a(flip),b,429,a)]. given #5084 (H,wt=17): 5473 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4982,a,5472,a)]. given #5085 (H,wt=15): 5482 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4957,a,b,5473,a)]. given #5086 (H,wt=15): 5483 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(227,a,1784,a(flip),b,5482,a)]. given #5087 (H,wt=17): 5486 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),5483(a,1,2))]. given #5088 (H,wt=18): 4965 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4949(a,2,1)),flip(a)]. given #5089 (H,wt=18): 4966 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4949(a,2,1)),flip(a)]. given #5090 (H,wt=18): 4997 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4958(a,2,2)),flip(a)]. given #5091 (H,wt=18): 5048 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4996(a,2),30(a,2,2)),flip(a)]. given #5092 (H,wt=18): 5059 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(227,a,40,a,b,5004,a(flip))]. given #5093 (H,wt=16): 5490 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(5059(a,1),5005(a,1))]. given #5094 (H,wt=18): 5079 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4954(a,2),28(a,2,2,2)),flip(a)]. given #5095 (H,wt=16): 5491 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(4996(a,2),5079(a,1,2)),flip(a)]. given #5096 (H,wt=18): 5131 T(K(x,y) \ z,K(y,x)) != u | z * K(y,x) = u. [para(5101(a,1),641(a,1,1,1))]. given #5097 (H,wt=18): 5140 ((x * y) / x) \ y != z * u | z \ K(y,x) = u. [para(4975(a,1),307(a,1,2))]. given #5098 (H,wt=18): 5155 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4977(a,1),110(a,1,1))]. given #5099 (H,wt=18): 5161 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4977(a,1),1683(a,1,1,1))]. given #5100 (H,wt=18): 5169 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4977(a,1),2714(a,2,1)),flip(a)]. given #5101 (H,wt=18): 5176 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4990(a,2),308(a,1,2,2))]. given #5102 (H,wt=18): 5177 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(4990(a,2),392(a,1,2))]. given #5103 (H,wt=18): 5210 K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. [para(5204(a,1),210(a,1,2))]. given #5104 (H,wt=18): 5218 K(x,y) * (x / y) != z | (x / y) * K(x,y) = z. [para(5206(a,1),210(a,1,2))]. given #5105 (H,wt=18): 5220 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(5207(a,1),210(a,1,2))]. given #5106 (H,wt=18): 5223 K(x,x \ 1) != y | x \ T(x,z / (x * z)) = y. [para(3528(a,1),4979(a,1))]. given #5107 (H,wt=18): 5238 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(40(a,2),5097(a,1,2))]. given #5108 (H,wt=18): 5280 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(2478(a,1),5076(a,1,1)),flip(a)]. given #5109 (H,wt=18): 5323 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5303(a,1),5157(a,1,1,2))]. given #5110 (H,wt=18): 5327 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5322(a,1),38(a,1,1)),flip(a)]. given #5111 (H,wt=18): 5360 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(4989(a,2),4590(a,1))]. given #5112 (H,wt=18): 5374 T(x,K(y,z)) != u * K(y,z) | K(z,y) * x = u. [para(5130(a,1),20(a,1))]. given #5113 (H,wt=18): 5402 K(x \ (y \ 1),z) != u | K(y * x,z \ 1) = u. [para(123(a,1),5380(a,1,1))]. given #5114 (H,wt=18): 5422 x \ T(x,y) != z * u | T(z,u) = u \ K(x,y). [para(113(a,1),5051(a,2)),flip(b)]. given #5115 (H,wt=18): 5431 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(4983(a,1),5227(a,1))]. given #5116 (H,wt=18): 5443 K((x \ (y \ 1)) \ 1,z) != u | K(y * x,z) = u. [para(123(a,1),5439(a,1,1,1))]. given #5117 (H,wt=18): 5492 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(13(a,1),5131(a,1,1))]. given #5118 (H,wt=18): 5494 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(227,a,42,a,b,5327,a)]. given #5119 (H,wt=18): 5496 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5301(a,2),5494(a,1,1,1,2))]. given #5120 (H,wt=19): 4986 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(227,a,4815,a,b,4958,a),flip(a)]. given #5121 (H,wt=17): 5497 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4958(a,2),4986(a,1,1))]. given #5122 (H,wt=17): 5498 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(65(a,1),5497(a,1,1,2)),flip(a)]. given #5123 (H,wt=17): 5499 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4220(a,1),5497(a,1,1)),flip(a)]. given #5124 (H,wt=18): 5501 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(375(a,1),5499(a,1,2,1)),flip(a)]. given #5125 (H,wt=19): 5032 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(4978(a,1),428(a,1,2,1,1)),flip(a)]. given #5126 (H,wt=19): 5093 K(x \ (y * T(x,z)),x) = K((y / x) * T(x,z),x). [para(2449(a,1),5082(a,1,1))]. given #5127 (H,wt=19): 5114 (x * K(y,z)) \ K(z,y) = K(z,y) * (x \ K(z,y)). [para(5084(a,1),780(a,1,1,2))]. given #5128 (H,wt=19): 5151 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(72,a,4977,a,b,1926,a)]. given #5129 (H,wt=19): 5166 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4977(a,1),2635(a,2,1,2))]. given #5130 (H,wt=19): 5173 ((1 / x) / (1 / (y * x))) / y = K(1 / (y * x),y). [para(335(a,1),4988(a,2,1,1)),flip(a)]. given #5131 (H,wt=19): 5186 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4017(a,1),5008(a,1,1,2))]. given #5132 (H,wt=19): 5245 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(4127,a,4950,a)]. given #5133 (H,wt=17): 5507 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4957(a,1),5245(a,1,1))]. given #5134 (H,wt=17): 5508 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4991(a,2),5245(a,1,1)),flip(a)]. given #5135 (H,wt=17): 5510 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(4017(a,1),5507(a,1,1)),flip(a)]. given #5136 (H,wt=19): 5249 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(4950(a,1),2421(a,1,2))]. given #5137 (H,wt=19): 5253 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(1649,a,4957,a)]. given #5138 (H,wt=17): 5514 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(113(a,1),5253(a,1,2))]. given #5139 (H,wt=19): 5255 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4957(a,1),849(a,2,2))]. given #5140 (H,wt=19): 5257 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4957(a,1),1676(a,2,2))]. given #5141 (H,wt=19): 5258 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4957(a,1),2231(a,1,1))]. given #5142 (H,wt=19): 5259 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4957(a,1),2611(a,2,1))]. given #5143 (H,wt=19): 5260 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4957(a,1),2620(a,2,1))]. given #5144 (H,wt=19): 5264 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(227,a,2954,a(flip),b,4980,a),flip(a)]. given #5145 (H,wt=17): 5519 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4849(a,1),5264(a,1,2))]. given #5146 (H,wt=17): 5520 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(5519(a,2),65(a,1,1))]. given #5147 (H,wt=19): 5282 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5076(a,1),5091(a,1,1,2)),flip(a)]. given #5148 (H,wt=19): 5283 ((K(x,y) * z) \ u) * u = (z \ K(y,x)) * (u * u). [para(5104(a,1),913(a,1,1)),flip(a)]. given #5149 (H,wt=19): 5356 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(227,a,4087,a(flip),b,4989,a(flip)),flip(a)]. given #5150 (H,wt=19): 5359 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4989(a,1),3055(a,1,2))]. given #5151 (H,wt=19): 5417 (x * y) \ ((x * y) / (1 / x)) = (x * y) * (y \ 1). [para(13(a,1),5410(a,2,2,1))]. given #5152 (H,wt=17): 5523 (x * y) \ (x * (y * x)) = (x * y) * (y \ 1). [para(2005(a,1),5417(a,1,2))]. given #5153 (H,wt=12): 5524 L(x,y,x) = (x * y) * (y \ 1). [hyper(474,a,5523,a)]. given #5154 (H,wt=9): 5525 L(x,y,y) = L(x,y,x). [hyper(227,a,1028,a(flip),b,5524,a),flip(a)]. given #5155 (H,wt=9): 5527 L(x,y,x) = L(x,x,y). [hyper(227,a,4163,a(flip),b,5525,a(flip))]. given #5156 (H,wt=12): 5526 L(x,y,x) = y * ((y \ 1) * x). [hyper(1402,a,5525,a),flip(a)]. given #5157 (H,wt=14): 5528 (x * y) * L(x,y,y) = x * (y * x). [para(5525(a,2),100(a,1,2))]. given #5158 (H,wt=17): 5529 (x \ (x / y)) / (y * x) = 1 / (y * (x * y)). [para(5528(a,1),1036(a,1,2)),flip(a)]. given #5159 (H,wt=19): 5460 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [para(1647(a,1),5246(a,1,1)),flip(a)]. given #5160 (H,wt=19): 5462 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1791,a,5248,a)]. given #5161 (H,wt=15): 5532 x \ T(x * y,z) = y * K(x * y,z). [para(4019(a,1),5462(a,2,2))]. given #5162 (H,wt=15): 5533 x * (y * K(x * y,z)) = T(x * y,z). [para(5532(a,1),14(a,1,2))]. given #5163 (H,wt=18): 5534 x * (y * K(x * y,z)) != u | T(x * y,z) = u. [para(5532(a,1),205(a,1,2)),flip(b)]. given #5164 (H,wt=19): 5463 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(853,a,5248,a),flip(a)]. given #5165 (H,wt=19): 5467 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),5251(a,2,2,1))]. given #5166 (H,wt=19): 5474 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(5472(a,2),4808(a,2,2))]. given #5167 (H,wt=19): 5477 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4980(a,2),5368(a,1,2,1))]. given #5168 (H,wt=19): 5480 (x * (1 / y)) * (1 / y) = (x * (y \ 1)) * (y \ 1). [para(5387(a,1),3751(a,1,1)),flip(a)]. given #5169 (H,wt=19): 5481 ((T(x,y) \ 1) \ 1) \ 1 = x \ K(x,y \ (x \ 1)). [hyper(227,a,1059,a(flip),b,5397,a),flip(a)]. given #5170 (H,wt=19): 5505 (1 / ((1 / (x * y)) * y)) / x = K(1 / (x * y),x). [para(325(a,1),5173(a,1,1))]. given #5171 (H,wt=17): 5539 (1 / (1 / T(x,y))) / x = K(1 / (x * y),x). [para(336(a,1),5505(a,1,1,2))]. given #5172 (H,wt=19): 5512 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5510(a,1),5084(a,1,1)),flip(a)]. given #5173 (H,wt=19): 5518 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5258(a,2),5260(a,1,2))]. given #5174 (H,wt=19): 5521 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [para(5356(a,1),16(a,1,1))]. given #5175 (H,wt=19): 5531 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5462(a,1),14(a,1,2))]. given #5176 (H,wt=19): 5536 (x * y) * (y / (x * y)) = y * K(x * y,x \ 1). [hyper(17,a,4731,a,b,5533,a),flip(a)]. given #5177 (H,wt=19): 5537 (x * (1 / y)) \ (1 / x) = (y * (x \ 1)) * (x \ 1). [hyper(227,a,2182,a,b,5480,a(flip)),flip(a)]. given #5178 (H,wt=19): 5538 x * (((T(x,y) \ 1) \ 1) \ 1) = K(x,y \ (x \ 1)). [para(5481(a,2),14(a,1,2))]. given #5179 (H,wt=15): 5546 K(x,y \ (x \ 1)) = x * (1 / T(x,y)). [para(1057(a,1),5538(a,1,2)),flip(a)]. given #5180 (H,wt=19): 5543 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(227,a,5359,a,b,5521,a)]. given #5181 (H,wt=19): 5545 (x * y) * (y \ (y / x)) = y * K(x * y,x \ 1). [para(944(a,1),5536(a,1,2))]. given #5182 (H,wt=17): 5548 (x * y) * (y \ (y / x)) = x * (y * (1 / x)). [hyper(227,a,4877,a(flip),b,5545,a)]. given #5183 (H,wt=12): 5549 L(1 / x,y,x) = y \ (y / x). [hyper(464,a,5548,a)]. given #5184 (H,wt=12): 5552 x * L(1 / y,x,y) = x / y. [para(5549(a,2),14(a,1,2))]. given #5185 (H,wt=15): 5551 L(1 / x,1 / x,y) = L(1 / x,y,x). [hyper(227,a,4166,a,b,5549,a),flip(a)]. given #5186 (H,wt=13): 5555 L(1 / x,y,x) = 1 / L(x,x,y). [hyper(227,a,4172,a(flip),b,5551,a(flip))]. given #5187 (H,wt=17): 5550 1 / (x * (y * (1 / x))) = x * (1 / (x * y)). [para(5548(a,1),2878(a,1,2))]. given #5188 (H,wt=17): 5556 L(1 / x,y,x) / z = 1 / (z * L(x,x,y)). [hyper(73,a,5555,a,b,335,a)]. given #5189 (H,wt=17): 5557 (1 / (x / y)) * (y \ 1) = y * (1 / (y * x)). [hyper(3384,a,5550,a)]. given #5190 (H,wt=20): 5033 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(4978(a,1),719(a,1,2,1)),flip(a)]. given #5191 (H,wt=20): 5065 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5004(a,2),523(a,1,1))]. given #5192 (H,wt=20): 5156 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4977(a,2),492(a,1,2))]. given #5193 (H,wt=20): 5163 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4977(a,1),1478(a,1,1))]. given #5194 (H,wt=20): 5195 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5095(a,1),102(a,1,1))]. given #5195 (H,wt=20): 5326 T(x,T(y,z)) / (T(T(y,x),z) \ x) != u | T(y,z) = u. [para(2733(a,2),5275(a,1))]. given #5196 (H,wt=20): 5364 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,2840,a,b,5028,a)]. given #5197 (H,wt=20): 5366 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(227,a,4875,a,b,5029,a)]. given #5198 (H,wt=15): 5559 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(227,a,5323,a(flip),b,5366,a(flip))]. given #5199 (H,wt=20): 5371 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5029(a,2),5027(a,1))]. given #5200 (H,wt=20): 5389 K(x,x \ 1) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(5378(a,1),3811(a,1,1))]. given #5201 (H,wt=18): 5560 (1 / (1 / x)) \ y != z | ((x \ 1) \ 1) \ y = z. [para(3641(a,1),5389(a,1))]. given #5202 (H,wt=20): 5446 T(K(x,y),z) \ 1 != u | K(y,x * K(z,x \ 1)) = u. [para(5435(a,1),5096(a,1,1))]. given #5203 (H,wt=20): 5447 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,5008,a,b,5030,a),flip(a)]. given #5204 (H,wt=20): 5449 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,5008,a,b,5031,a),flip(a)]. given #5205 (H,wt=20): 5453 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(73,a,5158,a,b,5010,a(flip))]. given #5206 (H,wt=20): 5454 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5158(a,2),4951(a,2,1)),flip(a)]. given #5207 (H,wt=20): 5455 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5158(a,2),5142(a,2,2)),flip(a)]. given #5208 (H,wt=20): 5457 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(72,a,5159,a,b,4977,a(flip))]. given #5209 (H,wt=20): 5459 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5159(a,2),4951(a,2,1)),flip(a)]. given #5210 (H,wt=20): 5468 x * T(x \ y,z) != u * y | K((x / y) \ 1,z) = u. [para(5251(a,1),20(a,1))]. given #5211 (H,wt=20): 5475 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5363(a,1),282(a,1,2)),flip(b)]. given #5212 (H,wt=20): 5476 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5368(a,1),205(a,1,2)),flip(b)]. given #5213 (H,wt=17): 5566 R(x,y,x) != z | T(x * K(y * x,x),y) = z. [para(5184(a,1),5476(a,1))]. given #5214 (H,wt=20): 5502 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(5496(a,1),5032(a,1,1))]. given #5215 (H,wt=16): 5567 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(721,a,5502,a)]. given #5216 (H,wt=20): 5540 K(1 / (x * y),x) != z | 1 / (x * (1 / T(x,y))) = z. [para(5539(a,1),349(a,1))]. given #5217 (H,wt=17): 5568 1 / (x * (1 / T(x,y))) = K(x * y,x \ 1). [hyper(5540,a,5382,a)]. given #5218 (H,wt=17): 5569 (T(x,y) \ 1) \ (1 / x) = K(x * y,x \ 1). [hyper(1121,a,5568,a)]. given #5219 (H,wt=20): 5553 L(1 / x,y,x) \ (1 / y) = ((y / x) \ y) * (1 / y). [para(5549(a,2),1101(a,1,1))]. given #5220 (H,wt=16): 5572 L(1 / x,y,x) \ (1 / y) = x * (1 / y). [hyper(227,a,140,a(flip),b,5553,a)]. given #5221 (H,wt=21): 4944 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4942(a,1),3049(a,2,2))]. given #5222 (H,wt=21): 5053 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4996(a,2),495(a,2,2))]. given #5223 (H,wt=21): 5067 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5004(a,2),474(a,1,2,2))]. given #5224 (H,wt=21): 5068 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5004(a,2),495(a,2,2))]. given #5225 (H,wt=21): 5069 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(5004(a,2),604(a,1,2))]. given #5226 (H,wt=21): 5135 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5101(a,1),4441(a,1,2,2))]. given #5227 (H,wt=21): 5148 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(2631,a,4977,a),flip(a)]. given #5228 (H,wt=21): 5224 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),5014(a,1,1))]. given #5229 (H,wt=21): 5225 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),5014(a,1,1))]. given #5230 (H,wt=21): 5230 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),5049(a,1,2))]. given #5231 (H,wt=21): 5250 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4950(a,1),2420(a,1,2))]. given #5232 (H,wt=21): 5319 T(((x \ y) \ y) * z,(x \ y) \ y) = z / T(1 / x,y). [para(5317(a,1),1231(a,2,2))]. given #5233 (H,wt=21): 5355 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(227,a,4399,a(flip),b,4989,a(flip)),flip(a)]. given #5234 (H,wt=17): 5578 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(4989(a,1),5355(a,1,1))]. given #5235 (H,wt=17): 5579 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(65(a,1),5578(a,1,1,2)),flip(a)]. given #5236 (H,wt=17): 5581 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4220(a,1),5578(a,1,1)),flip(a)]. given #5237 (H,wt=15): 5582 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(227,a,5512,a(flip),b,5581,a(flip)),flip(a)]. given #5238 (H,wt=19): 5583 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(5581(a,1),4996(a,2,2))]. given #5239 (H,wt=21): 5357 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4989(a,1),2897(a,2,2))]. given #5240 (H,wt=19): 5585 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(14(a,1),5357(a,1,2,1))]. given #5241 (H,wt=21): 5362 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4991(a,2),2611(a,2,1))]. given #5242 (H,wt=21): 5386 (1 / x) \ (y * K(z,z \ 1)) = x / (y \ K(z,z \ 1)). [para(5378(a,1),3123(a,1,2,2))]. given #5243 (H,wt=21): 5390 T(x * ((y \ z) * (1 / z)),x) = (y * K(z,z \ 1)) \ x. [para(5378(a,1),3883(a,2,1,2))]. given #5244 (H,wt=21): 5400 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(4644(a,1),5399(a,1,2,1))]. given #5245 (H,wt=21): 5412 (x \ (x / (y \ 1))) / (y \ 1) = (x * ((y \ x) \ 1)) * y. [para(5321(a,1),2343(a,2,1))]. given #5246 (H,wt=18): 5590 (x * ((y \ x) \ 1)) * y = L(y,x,x) / (y \ 1). [para(1370(a,1),5412(a,1,1)),flip(a)]. given #5247 (H,wt=18): 5591 (x * ((y \ x) \ 1)) * y = (1 / L(y,x,x)) \ y. [hyper(227,a,317,a(flip),b,5590,a)]. given #5248 (H,wt=17): 5592 (x * ((y \ x) \ 1)) * y = (x \ (x / y)) \ y. [para(1033(a,1),5591(a,2,1))]. given #5249 (H,wt=21): 5415 (K(x,x \ 1) / y) * (z * K(x,x \ 1)) = (1 / y) * z. [hyper(1693,a,5388,a)]. given #5250 (H,wt=21): 5434 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(5104(a,1),5430(a,2,1,1))]. given #5251 (H,wt=15): 5594 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5036(a,1),5434(a,1,1,1)),flip(a)]. given #5252 (H,wt=17): 5595 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(5594(a,1),113(a,1,2)),flip(a)]. given #5253 (H,wt=21): 5465 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(227,a,1794,a(flip),b,5251,a)]. given #5254 (H,wt=21): 5469 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(5267(a,2),2567(a,1,1))]. given #5255 (H,wt=21): 5471 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [hyper(287,a,5285,a)]. given #5256 (H,wt=21): 5478 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5301(a,1),5368(a,1,2,1,2))]. given #5257 (H,wt=15): 5596 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5475,a,5478,a),flip(a)]. given #5258 (H,wt=21): 5488 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(4648(a,1),4966(a,1,1,1)),flip(a)]. given #5259 (H,wt=13): 5597 K(x \ R(x,y,z),R(x,u,w)) = 1. [hyper(227,a,52,a(flip),b,5488,a)]. given #5260 (H,wt=13): 5600 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(71,a,5597,a,b,5094,a),flip(a)]. given #5261 (H,wt=16): 5598 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5488(a,2),199(a,1))]. given #5262 (H,wt=18): 5601 K(x \ R(x,y,z),R(x,u,w)) * v5 != v6 | v6 = v5. [para(5597(a,2),74(a,1,1))]. given #5263 (H,wt=21): 5513 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(227,a,2653,a(flip),b,5253,a(flip)),flip(a)]. given #5264 (H,wt=21): 5516 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3166(a,1),5258(a,1,1))]. given #5265 (H,wt=19): 5603 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(3811,a,5516,a),flip(a)]. given #5266 (H,wt=21): 5535 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(252(a,1),5532(a,1,2)),flip(a)]. given #5267 (H,wt=21): 5547 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5076(a,1),5543(a,1,1,2))]. given #5268 (H,wt=17): 5605 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5547(a,2,2,2,1))]. given #5269 (H,wt=21): 5570 ((x * (T(x,y) \ 1)) \ x) * (1 / x) = K(x * y,x \ 1). [hyper(227,a,1003,a,b,5569,a(flip)),flip(a)]. given #5270 (H,wt=17): 5606 (K(x,y) \ y) * (1 / y) = K(y * x,y \ 1). [para(4954(a,2),5570(a,1,1,1))]. given #5271 (H,wt=15): 5607 K(x * y,x \ 1) = T(x,y) * (1 / x). [para(4971(a,2),5606(a,1,1)),flip(a)]. given #5272 (H,wt=15): 5608 T(x,y) \ K(x * y,x \ 1) = 1 / x. [hyper(72,a,5607,a,b,xx)]. given #5273 (H,wt=17): 5612 (1 / x) * K(x \ 1,x * y) = T(x,y) \ 1. [para(5608(a,1),5105(a,1,1))]. given #5274 (H,wt=17): 5613 (1 / x) * K(x,(x * y) \ 1) = T(x,y) \ 1. [para(5378(a,1),5612(a,1,2))]. given #5275 (H,wt=17): 5614 (1 / x) * K(x,y \ (x \ 1)) = T(x,y) \ 1. [para(123(a,1),5613(a,1,2,2))]. given #5276 (H,wt=18): 5610 T(x,y) * (1 / x) != z | K(x * y,x \ 1) = z. [para(5608(a,1),205(a,1,2)),flip(b)]. given #5277 (H,wt=21): 5576 ((1 / x) * y) \ ((z \ u) \ u) = (y \ x) / T(1 / z,u). [hyper(1329,a,5319,a)]. given #5278 (H,wt=21): 5586 (1 / x) \ (y * K(z,z \ 1)) = x / ((y \ z) * (1 / z)). [para(3683(a,1),5386(a,2,2))]. given #5279 (H,wt=21): 5589 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(4656(a,2),5400(a,1,2,1))]. given #5280 (H,wt=21): 5593 (K(x,x \ 1) / y) * (K(x,x \ 1) * z) = (1 / y) * z. [para(3087(a,2),5415(a,1,2))]. given #5281 (H,wt=21): 5604 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(17,a,3926,a(flip),b,5535,a)]. given #5282 (H,wt=21): 5616 (x * (1 / (y * x))) * (K(x,x \ 1) * z) = (1 / y) * z. [para(3664(a,1),5593(a,1,1))]. given #5283 (H,wt=21): 5618 K(x,x \ 1) * ((1 / y) \ z) = (x * (1 / (y * x))) \ z. [hyper(72,a,14,a(flip),b,5616,a),flip(a)]. given #5284 (H,wt=21): 5619 ((1 / x) \ y) * K(z,z \ 1) = (z * (1 / (x * z))) \ y. [hyper(3093,a,5618,a)]. given #5285 (H,wt=22): 5070 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5004(a,2),2838(a,1,1))]. given #5286 (H,wt=22): 5080 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4954(a,2),101(a,1,2,2)),flip(a)]. given #5287 (H,wt=22): 5183 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,2840,a,b,5008,a)]. given #5288 (H,wt=22): 5272 (x * T(y,z)) / x != u * w | u \ T(y * K(x,y),z) = w. [para(5024(a,1),559(a,1,1,2))]. given #5289 (H,wt=22): 5427 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4123(a,2),5227(a,1))]. given #5290 (H,wt=20): 5623 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4957(a,1),5427(a,1,1))]. given #5291 (H,wt=17): 5624 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(5623,a,xx),flip(a)]. given #5292 (H,wt=17): 5625 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(4017(a,1),5624(a,1,1)),flip(a)]. given #5293 (H,wt=16): 5628 L(K(x,y),x,z) = K(((z * x) \ z) \ 1,y). [para(156(a,1),5625(a,1,1,1)),flip(a)]. given #5294 (H,wt=19): 5626 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5084(a,1),5624(a,1,1,1)),flip(a)]. given #5295 (H,wt=19): 5629 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5625(a,1),5084(a,1,1)),flip(a)]. given #5296 (H,wt=15): 5630 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(227,a,5499,a(flip),b,5629,a(flip))]. given #5297 (H,wt=15): 5631 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(227,a,4467,a,b,5630,a(flip)),flip(a)]. given #5298 (H,wt=18): 5632 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5631(a,1),281(a,1,1)),flip(b)]. given #5299 (H,wt=20): 5633 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(5629(a,2),5632(a,1))]. given #5300 (H,wt=21): 5627 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5432(a,1),5624(a,1,1)),flip(a)]. given #5301 (H,wt=22): 5470 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5268(a,1),2739(a,1,1,1))]. given #5302 (H,wt=19): 5634 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5160(a,1),5470(a,1,1)),flip(a)]. given #5303 (H,wt=19): 5635 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(227,a,40,a,b,5634,a)]. given #5304 (H,wt=22): 5495 K(x \ (y * (z \ 1)),u) != w | K((z / y) * x,u \ 1) = w. [para(125(a,1),5402(a,1,1,2))]. given #5305 (H,wt=22): 5509 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(110(a,1),5507(a,2,1,1))]. given #5306 (H,wt=20): 5637 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(4802(a,1),5509(a,1,1))]. given #5307 (H,wt=22): 5515 x * T(x \ (y \ x),z) != u * (y \ x) | K(y \ 1,z) = u. [para(5258(a,1),20(a,1))]. given #5308 (H,wt=22): 5517 (x * y) * T((x * y) \ y,z) != u * y | K(x \ 1,z) = u. [para(5259(a,2),20(a,1))]. given #5309 (H,wt=22): 5580 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5578(a,1),109(a,1,1))]. given #5310 (H,wt=22): 5611 T(x,y) * (1 / x) != z * u | z \ K(x * y,x \ 1) = u. [para(5608(a,1),392(a,1,2))]. given #5311 (H,wt=22): 5638 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(16(a,1),5637(a,2,1,1,2))]. given #5312 (H,wt=23): 5134 ((K(x,y) / z) * u) \ K(x,y) = K(y,x) * ((u / K(x,y)) \ z). [para(5101(a,1),1523(a,1,1)),flip(a)]. given #5313 (H,wt=23): 5138 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4963(a,1),3512(a,1,2,1))]. given #5314 (H,wt=23): 5154 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(109(a,1),4977(a,1,1))]. given #5315 (H,wt=23): 5164 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(2447(a,1),4977(a,1,1))]. given #5316 (H,wt=23): 5174 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(1746(a,1),4988(a,2,1)),flip(a)]. given #5317 (H,wt=23): 5179 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4994(a,2),474(a,1,2,2))]. given #5318 (H,wt=23): 5309 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5279(a,1),175(a,1,2,1))]. given #5319 (H,wt=23): 5420 ((x \ (y / z)) \ 1) \ (z * (y \ 1)) = (y / z) \ ((y / z) / x). [para(125(a,1),5419(a,1,2))]. given #5320 (H,wt=23): 5426 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5424(a,1),28(a,2,2,2)),flip(a)]. given #5321 (H,wt=23): 5451 (x * K(y,z)) / (u * K(w,v5)) = (K(z,y) / x) \ (K(v5,w) / u). [para(5108(a,1),5113(a,1,1)),flip(a)]. given #5322 (H,wt=23): 5456 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(5158(a,2),5171(a,1,1))]. given #5323 (H,wt=23): 5479 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5363(a,1),5370(a,1,1,1))]. given #5324 (H,wt=23): 5493 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5169(a,2),2482(a,1,1))]. given #5325 (H,wt=23): 5503 ((x / y) * K(z,u)) \ K(u,z) = (K(u,z) * y) * (x \ K(u,z)). [hyper(227,a,3336,a,b,5114,a)]. given #5326 (H,wt=23): 5511 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5508(a,1),5507(a,1,1)),flip(a)]. given #5327 (H,wt=23): 5541 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(65(a,1),5518(a,1,2,1,1))]. given #5328 (H,wt=19): 5643 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(65(a,1),5541(a,2,1,1))]. given #5329 (H,wt=19): 5644 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),5643(a,1,2,2)),flip(a)]. given #5330 (H,wt=19): 5647 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(73,a,5644,a,b,xx)]. given #5331 (H,wt=23): 5542 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(4017(a,1),5518(a,1,2,1))]. given #5332 (H,wt=19): 5649 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(4017(a,1),5542(a,2,1))]. given #5333 (H,wt=23): 5544 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5084(a,1),5531(a,1,2,2,1,1,2))]. given #5334 (H,wt=23): 5561 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(5449(a,1),282(a,1,2)),flip(b)]. given #5335 (H,wt=23): 5563 R(x,y,z) * K(u,R(x,y,z)) != w | R(x * K(u,x),y,z) = w. [para(5457(a,1),205(a,1,2)),flip(b)]. given #5336 (H,wt=23): 5602 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5248(a,1),5513(a,1,1))]. given #5337 (H,wt=23): 5640 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(2838,a,5154,a),flip(a)]. given #5338 (H,wt=22): 5656 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5090(a,1),5640(a,1,2)),flip(a)]. given #5339 (H,wt=20): 5657 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(227,a,5148,a(flip),b,5656,a)]. given #5340 (H,wt=23): 5651 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),5649(a,1,2,2))]. given #5341 (H,wt=23): 5653 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5248(a,2),5544(a,1,2))]. given #5342 (H,wt=23): 5654 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5463(a,1),5544(a,1,2)),flip(a)]. given #5343 (H,wt=23): 5659 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(78,a,5653,a)]. given #5344 (H,wt=24): 5017 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(710(a,1),4964(a,1,1))]. given #5345 (H,wt=24): 5167 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(4977(a,1),2631(a,1))]. given #5346 (H,wt=24): 5178 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(4481(a,1),4992(a,2,1)),flip(a)]. given #5347 (H,wt=24): 5298 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5165(a,1),30(a,2,2)),flip(a)]. given #5348 (H,wt=24): 5299 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5191(a,1),102(a,2,1))]. given #5349 (H,wt=24): 5325 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(180(a,1),5275(a,1,2))]. given #5350 (H,wt=24): 5448 (x * L(y,z,u)) / x != w * v5 | L(y * K(x,y),z,u) / v5 = w. [para(5030(a,1),305(a,1,1))]. given #5351 (H,wt=24): 5450 (x * R(y,z,u)) / x != w * v5 | w \ R(y * K(x,y),z,u) = v5. [para(5031(a,1),549(a,1,1))]. given #5352 (H,wt=24): 5554 (x / y) / (L(1 / z,y,z) \ (1 / y)) = (y * (1 / x)) \ (y / z). [para(5552(a,1),4670(a,2,2))]. given #5353 (H,wt=19): 5661 (x / y) / (z * (1 / y)) = (y * (1 / x)) \ (y / z). [para(5572(a,1),5554(a,1,2))]. given #5354 (H,wt=24): 5558 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5100(a,2),5195(a,1,2))]. given #5355 (H,wt=24): 5588 (x * K(y,y \ 1)) \ (1 / z) != u | ((x \ y) * (1 / y)) / z = u. [para(5390(a,1),1234(a,1))]. given #5356 (H,wt=24): 5620 (x * (1 / (y * x))) \ z != K(x,x \ 1) * u | (1 / y) \ z = u. [para(5618(a,1),19(a,1))]. given #5357 (H,wt=24): 5621 (x * (1 / (y * x))) \ z != u | ((1 / y) \ z) * K(x,x \ 1) = u. [para(5618(a,1),3093(a,1))]. given #5358 (H,wt=24): 5658 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),5657(a,1,1,1)),flip(a)]. given #5359 (H,wt=20): 5662 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(2465(a,1),5658(a,1,1)),flip(a)]. given #5360 (H,wt=18): 5663 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(227,a,2554,a(flip),b,5662,a)]. given #5361 (H,wt=21): 5664 (x \ y) * T(x,y) != z * x | y / R(x,x \ y,x) = z. [para(5663(a,1),20(a,1))]. given #5362 (H,wt=25): 5073 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(4948(a,1),474(a,1,1))]. given #5363 (H,wt=25): 5074 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4948(a,1),466(a,1,1))]. given #5364 (H,wt=25): 5239 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1851(a,1),5097(a,1,2))]. given #5365 (H,wt=25): 5243 K(a(x,y,z),(x * y) * z) != u | K((x * y) * z,x * (y * z)) = u. [para(24(a,2),5242(a,1,1))]. given #5366 (H,wt=25): 5329 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(4978(a,1),4962(a,1,1,1)),flip(a)]. given #5367 (H,wt=21): 5665 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5123(a,1),5329(a,2,2))]. given #5368 (H,wt=19): 5666 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5117(a,1),5665(a,1,2))]. given #5369 (H,wt=25): 5461 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(1636(a,1),5246(a,1,1))]. given #5370 (H,wt=25): 5522 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(2331(a,1),5356(a,1,1))]. given #5371 (H,wt=21): 5668 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5522(a,1,1,2,2,1))]. given #5372 (H,wt=25): 5617 (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1) = x \ K(y \ z,z \ y). [para(5604(a,1),3923(a,1,2)),flip(a)]. given #5373 (H,wt=25): 5622 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(227,a,3516,a,b,5080,a(flip)),flip(a)]. given #5374 (H,wt=25): 5636 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5635(a,1),44(a,1,1)),flip(a)]. given #5375 (H,wt=25): 5639 (K(x,y \ 1) * z) * u != w * (z * u) | K(x,R(y,z,u) \ 1) = w. [para(5580(a,1),20(a,1))]. given #5376 (H,wt=25): 5642 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(585(a,1),5511(a,1,1,1)),flip(a)]. given #5377 (H,wt=25): 5646 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(420,a,5644,a,b,xx),flip(a)]. given #5378 (H,wt=20): 5672 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(872,a,5646,a)]. given #5379 (H,wt=24): 5673 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5672(a,1),5627(a,1,1,1)),flip(a)]. given #5380 (H,wt=20): 5674 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(227,a,5432,a(flip),b,5673,a)]. given #5381 (H,wt=25): 5669 ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = z \ K(x \ y,y \ x). [hyper(227,a,4072,a(flip),b,5617,a(flip)),flip(a)]. given #5382 (H,wt=21): 5675 K(x \ y,y \ x) * (z \ 1) = z \ K(y \ x,x \ y). [hyper(227,a,4298,a(flip),b,5669,a(flip)),flip(a)]. given #5383 (H,wt=25): 5670 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5622(a,1),14(a,1,2))]. given #5384 (H,wt=25): 5671 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(227,a,44,a(flip),b,5636,a)]. given #5385 (H,wt=26): 5168 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(2703(a,1),4977(a,1,1))]. given #5386 (H,wt=20): 5676 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5168(a,1),881(a,2,1)),flip(a)]. given #5387 (H,wt=22): 5677 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5371,a,5676,a)]. given #5388 (H,wt=26): 5170 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(2835(a,1),4977(a,1,1))]. given #5389 (H,wt=26): 5277 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5075(a,2),2297(a,2,2))]. given #5390 (H,wt=26): 5284 (x \ K(y,z)) * L(u,K(z,y) * x,K(z,y) * x) = (K(z,y) * x) \ u. [para(5104(a,1),1349(a,1,1))]. given #5391 (H,wt=26): 5565 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(5091(a,1),5459(a,1,1,1,2))]. given #5392 (H,wt=19): 5680 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(227,a,5459,a(flip),b,5565,a(flip))]. given #5393 (H,wt=26): 5641 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(5164(a,1),1750(a,1,1,1))]. given #5394 (H,wt=22): 5682 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(13(a,1),5641(a,2,1,1))]. given #5395 (H,wt=26): 5648 (1 / x) * (K(x,y) * z) != u * w | (K(x,y) * ((1 / x) * z)) / w = u. [para(5647(a,1),393(a,1,1))]. given #5396 (H,wt=26): 5660 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(5654(a,2),19(a,1))]. given #5397 (H,wt=26): 5679 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(1482(a,2),5277(a,1,2,2,1))]. given #5398 (H,wt=24): 5683 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(3321(a,1),5679(a,1,2))]. given #5399 (H,wt=27): 5007 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(4495(a,1),4958(a,2,2)),flip(a)]. given #5400 (H,wt=25): 5684 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(452,a,5007,a)]. given #5401 (H,wt=23): 5685 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(227,a,3526,a(flip),b,5684,a(flip)),flip(a)]. given #5402 (H,wt=25): 5686 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(227,a,4930,a,b,5685,a(flip)),flip(a)]. given #5403 (H,wt=25): 5687 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(227,a,4626,a,b,5686,a(flip)),flip(a)]. given #5404 (H,wt=23): 5688 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(227,a,4266,a(flip),b,5687,a(flip)),flip(a)]. given #5405 (H,wt=23): 5689 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(227,a,5685,a,b,5688,a)]. given #5406 (H,wt=27): 5023 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4971(a,2),4188(a,1,2,1))]. given #5407 (H,wt=27): 5145 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(89(a,1),4976(a,1,2,1))]. given #5408 (H,wt=27): 5313 (K(a(x,y,z),(x * y) * z) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. [hyper(72,a,134,a(flip),b,5312,a)]. given #5409 (H,wt=27): 5414 ((K(x,y \ 1) \ 1) \ y) * (1 / y) = y * (((T(y,x \ 1) \ 1) \ 1) \ 1). [para(5385(a,2),2119(a,2,2,1,1))]. given #5410 (H,wt=27): 5458 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5159(a,2),1286(a,1,1))]. given #5411 (H,wt=27): 5574 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5219(a,1),5135(a,2,1,1))]. given #5412 (H,wt=27): 5609 (1 / x) * ((1 / x) * (1 / K(x * y,x \ 1))) = 1 / (T(x,y) / (1 / x)). [para(5607(a,2),3416(a,1,2,2,2))]. given #5413 (H,wt=27): 5655 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(330,a,5602,a)]. given #5414 (H,wt=23): 5690 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(65(a,1),5655(a,1,1,1,1,2)),flip(a)]. given #5415 (H,wt=28): 5185 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(5008(a,1),89(a,1,1))]. given #5416 (H,wt=25): 5691 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(227,a,5033,a(flip),b,5185,a)]. given #5417 (H,wt=28): 5203 K((x * y) \ (z \ 1),y \ (x \ (z \ 1))) = K(a(z,x,y),(x * y) \ (z \ 1)). [para(1872(a,1),5199(a,1,2))]. given #5418 (H,wt=28): 5347 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(89(a,1),5344(a,2,2))]. given #5419 (H,wt=28): 5418 x * L(y / (1 / (y \ x)),y \ x,y) = ((y * ((x \ y) \ 1)) * y) * (y \ x). [para(5410(a,1),4183(a,2,1,1))]. given #5420 (H,wt=24): 5694 x * L(y / (1 / (y \ x)),y \ x,y) = ((x \ 1) \ y) * (y \ x). [para(1267(a,1),5418(a,2,1))]. given #5421 (H,wt=24): 5695 x * L(y / ((1 / x) * y),y \ x,y) = ((x \ 1) \ y) * (y \ x). [para(313(a,1),5694(a,1,2,1,2))]. given #5422 (H,wt=24): 5696 x * L(y \ (y / (1 / x)),y \ x,y) = ((x \ 1) \ y) * (y \ x). [para(944(a,1),5695(a,1,2,1))]. given #5423 (H,wt=24): 5697 x * L(y * ((x \ y) \ 1),y \ x,y) = ((x \ 1) \ y) * (y \ x). [para(5410(a,1),5696(a,1,2,1))]. given #5424 (H,wt=19): 5698 ((x \ 1) \ y) * (y \ x) = x * (y * ((x \ y) \ 1)). [para(4491(a,1),5697(a,1,2)),flip(a)]. given #5425 (H,wt=17): 5699 ((x \ 1) \ y) * (y \ x) = (y \ (y / x)) \ x. [hyper(227,a,2239,a(flip),b,5698,a)]. given #5426 (H,wt=28): 5504 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5166(a,1),408(a,1,1))]. given #5427 (H,wt=28): 5678 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5170(a,1),1750(a,1,1,1))]. given #5428 (H,wt=24): 5701 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(13(a,1),5678(a,2,1,1))]. given #5429 (H,wt=28): 5692 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(5691(a,1),282(a,1,2)),flip(b)]. given #5430 (H,wt=28): 5693 K(x * (y * z),(z \ (y \ (x \ 1))) \ 1) = K(a(x,y,z),(y * z) \ (x \ 1)). [hyper(5402,a,5203,a)]. given #5431 (H,wt=29): 5034 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4978(a,1),1476(a,1,2,1)),flip(a)]. given #5432 (H,wt=27): 5702 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5108(a,1),5034(a,2,1))]. given #5433 (H,wt=21): 5703 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4978(a,1),5702(a,1,1,1))]. given #5434 (H,wt=21): 5704 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(5703(a,1),65(a,1,1))]. given #5435 (H,wt=30): 5575 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(42(a,2),5250(a,2,2))]. given #5436 (H,wt=26): 5706 (x \ R(y,z,u)) * K((R(y,z,u) \ 1) \ 1,w) = x \ R(T(y,w),z,u). [para(249(a,1),5575(a,1,2,1,1))]. given #5437 (H,wt=22): 5708 (x \ R(y,z,u)) * K(R(y,z,u),w) = x \ R(T(y,w),z,u). [para(4017(a,1),5706(a,1,2))]. given #5438 (H,wt=31): 5489 (x * (y * z)) \ ((x * y) * L(T(z,u),y,x)) = L(K(L(z,y,x),u),L(z,y,x),x * y). [para(4997(a,1),489(a,1,1)),flip(a)]. given #5439 (H,wt=28): 5709 L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))). [para(100(a,1),5489(a,1,2)),flip(a)]. given #5440 (H,wt=31): 5530 ((x \ (y / x)) \ ((x \ (y / x)) / x)) / (x * (x \ (y / x))) = 1 / (x * ((x \ 1) * y)). [para(1994(a,1),5529(a,2,2,2))]. given #5441 (H,wt=27): 5710 (((x / y) * y) \ (x / y)) / (y * (y \ (x / y))) = 1 / (y * ((y \ 1) * x)). [para(1099(a,1),5530(a,1,1))]. given #5442 (H,wt=23): 5711 (x \ (x / y)) / (y * (y \ (x / y))) = 1 / (y * ((y \ 1) * x)). [para(16(a,1),5710(a,1,1,1))]. given #5443 (H,wt=19): 5712 (x \ (x / y)) / (x / y) = 1 / (y * ((y \ 1) * x)). [para(14(a,1),5711(a,1,2))]. given #5444 (H,wt=19): 5713 ((x / y) * x) \ (x / y) = 1 / (y * ((y \ 1) * x)). [hyper(971,a,5712,a)]. given #5445 (H,wt=16): 5715 ((x / y) * x) \ (x / y) = 1 / L(x,y,y). [para(1389(a,1),5713(a,2,2))]. given #5446 (H,wt=18): 5716 ((x / y) * x) \ (x / y) != z | y \ (y / x) = z. [para(5715(a,2),1035(a,1))]. given #5447 (H,wt=31): 5571 ((T(x,y) \ 1) * (T(x,y) \ 1)) * K(x * y,x \ 1) = ((T(x,y) \ 1) \ 1) \ (1 / x). [para(5569(a,1),3343(a,1,2))]. given #5448 (H,wt=29): 5717 (T(x,y) \ (1 / T(x,y))) * K(x * y,x \ 1) = ((T(x,y) \ 1) \ 1) \ (1 / x). [para(1257(a,1),5571(a,1,1))]. given #5449 (H,wt=29): 5718 (T(x,y) \ 1) * (T(x,y) \ K(x * y,x \ 1)) = ((T(x,y) \ 1) \ 1) \ (1 / x). [hyper(227,a,2384,a(flip),b,5717,a(flip)),flip(a)]. given #5450 (H,wt=21): 5719 ((T(x,y) \ 1) \ 1) \ (1 / x) = (T(x,y) \ 1) * (1 / x). [para(5608(a,1),5718(a,1,2)),flip(a)]. given #5451 (H,wt=31): 5681 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(44(a,1),5680(a,1,1))]. given #5452 (H,wt=33): 5667 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(5647(a,1),5461(a,2,1,1))]. given #5453 (H,wt=23): 5721 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5362(a,1),5667(a,1,1,2))]. given #5454 (H,wt=19): 5722 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(227,a,768,a(flip),b,5721,a)]. given #5455 (H,wt=19): 5724 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(5722(a,1),16(a,1,1))]. given #5456 (H,wt=17): 5727 K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. [para(4970(a,1),5724(a,1,2)),flip(a)]. given #5457 (H,wt=22): 5725 K(x,y) * (K(x,z) * u) != K(x,z) * w | K(x,y) * u = w. [para(5722(a,1),80(a,1,1)),flip(b)]. given #5458 (H,wt=23): 5726 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(113(a,1),5724(a,1,2)),flip(a)]. given #5459 (H,wt=33): 5705 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(2481(a,1),5704(a,1,1,2))]. given #5460 (H,wt=27): 5728 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(2481(a,1),5705(a,1,2))]. given #5461 (H,wt=24): 5729 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(227,a,5449,a(flip),b,5728,a)]. given #5462 (H,wt=34): 4616 (x * (1 / (y * x))) * (K(x,x \ 1) * (y * z)) = L(z,x * (1 / (y * x)),x * (1 / (y * x))). [para(4558(a,1),3674(a,1,2))]. given #5463 (H,wt=24): 5730 L(x,y * (1 / (z * y)),y * (1 / (z * y))) = (1 / z) * (z * x). [hyper(227,a,5616,a(flip),b,4616,a(flip))]. given #5464 (H,wt=21): 5732 L(x,y * (1 / (z * y)),y * (1 / (z * y))) = L(x,z,z). [hyper(227,a,1021,a(flip),b,5730,a)]. given #5465 (H,wt=35): 4606 L(a(x,y,z),x * (y * z),u \ ((x * (y * z)) \ 1)) = u / (((x * y) * z) \ ((x * (y * z)) * u)). [para(89(a,1),4605(a,1,2,1)),flip(a)]. given #5466 (H,wt=35): 4624 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(4575(a,1),474(a,1,2,2))]. given #5467 (H,wt=35): 4632 ((((x \ y) \ 1) \ 1) * (y \ 1)) \ ((((x \ y) \ 1) \ 1) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [para(260(a,1),4595(a,2,1))]. given #5468 (H,wt=31): 5734 (x * (1 / (y * x))) \ ((((y \ x) \ 1) \ 1) * z) = ((y \ 1) \ 1) / (z \ ((y \ x) \ 1)). [para(3966(a,1),4632(a,1,1))]. given #5469 (H,wt=35): 5584 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(5582(a,1),5520(a,1,1,2,2))]. given #5470 (H,wt=35): 5587 ((x * K(y,y \ 1)) \ z) * ((x \ y) * (1 / y)) = ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))). [para(5390(a,1),1236(a,1,1))]. given #5471 (H,wt=35): 5733 L(a(x,y,z),x * (y * z),u \ ((y * z) \ (x \ 1))) = u / (((x * y) * z) \ ((x * (y * z)) * u)). [para(123(a,1),4606(a,1,3,2))]. given #5472 (H,wt=36): 4680 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4679(a,2),4380(a,1,1))]. given #5473 (H,wt=31): 5735 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(215,a,4680,a),flip(a)]. given #5474 (H,wt=27): 5737 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(227,a,4772,a(flip),b,5735,a(flip))]. given #5475 (H,wt=23): 5738 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4734(a,1),5737(a,1,1)),flip(a)]. given #5476 (H,wt=23): 5739 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(1543(a,1),5738(a,1,2,1,2)),flip(a)]. given #5477 (H,wt=19): 5740 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(1543(a,1),5739(a,1,1)),flip(a)]. given #5478 (H,wt=19): 5741 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),5740(a,1,2,2)),flip(a)]. given #5479 (H,wt=15): 5742 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),5741(a,1,2)),flip(a)]. given #5480 (H,wt=10): 5743 L(x,y \ T(y,z),y) = x. [hyper(861,a,5742,a)]. given #5481 (H,wt=8): 5750 L(x,K(y,z),y) = x. [para(4958(a,2),5743(a,1,2))]. given #5482 (H,wt=8): 5754 L(x,K(y,z),z) = x. [para(5199(a,1),5750(a,1,2))]. given #5483 (H,wt=10): 5748 L(x,y,y \ T(y,z)) = x. [hyper(3183,a,5743,a)]. given #5484 (H,wt=8): 5762 L(x,y,K(y,z)) = x. [para(4958(a,2),5748(a,1,3))]. given #5485 (H,wt=8): 5769 L(x,y,K(z,y)) = x. [para(5199(a,1),5762(a,1,3))]. given #5486 (H,wt=10): 5756 L(x,K(y,z),1 / y) = x. [para(5383(a,1),5750(a,1,2))]. given #5487 (H,wt=10): 5765 L(x,y,K(y,z)) = 1 * x. [hyper(227,a,11,a,b,5762,a)]. given #5488 (H,wt=10): 5770 L(x,y / z,K(y,z)) = x. [para(5202(a,1),5762(a,1,3))]. given #5489 (H,wt=11): 5779 L(x,y,K(y,z)) != u | u = x. [para(5765(a,2),74(a,1))]. given #5490 (H,wt=11): 5781 L(x,y,K(z,y)) != u | u = x. [para(5199(a,1),5779(a,1,3))]. given #5491 (H,wt=12): 5749 L(x,T(y,T(z,y)) \ y,z) = x. [para(4700(a,2),5743(a,1,2))]. given #5492 (H,wt=13): 5747 x * (K(x,y) * z) = T(x,y) * z. [para(4958(a,2),5742(a,1,2,1))]. given #5493 (H,wt=13): 5757 K(x,y) * (1 / x) = K(x,y) / x. [para(5750(a,1),5552(a,1,2))]. given #5494 (H,wt=13): 5780 K(x,y) * (x / y) = T(x,y) / y. [para(5770(a,1),5065(a,1,2)),flip(a)]. given #5495 (H,wt=13): 5783 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(586,a,5747,a),flip(a)]. given #5496 (H,wt=13): 5784 T(x,y) * (K(x,y) \ z) = x * z. [hyper(308,a,5747,a),flip(a)]. given #5497 (H,wt=13): 5788 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(72,a,14,a(flip),b,5747,a),flip(a)]. given #5498 (H,wt=13): 5791 T(x,y) * (x \ z) = K(x,y) * z. [hyper(17,a,1925,a,b,5747,a),flip(a)]. given #5499 (H,wt=13): 5795 K(x,y) * (x * z) = T(x,y) * z. [hyper(17,a,1923,a(flip),b,5747,a)]. given #5500 (H,wt=13): 5802 (x / y) * K(x,y) = T(x,y) / y. [hyper(5218,a,5780,a)]. given #5501 (H,wt=13): 5803 (x \ y) / (T(x,z) \ y) = K(x,z). [para(5783(a,1),62(a,1,2))]. given #5502 (H,wt=13): 5813 x \ (K(x,y) \ z) = T(x,y) \ z. [hyper(72,a,14,a(flip),b,5791,a),flip(a)]. given #5503 (H,wt=14): 5782 L(x,T(y,z) \ y,(y * z) / y) = x. [para(160(a,1),5749(a,1,2,1,2))]. given #5504 (H,wt=14): 5793 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(17,a,2725,a(flip),b,5747,a)]. given #5505 (H,wt=14): 5794 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,2723,a(flip),b,5747,a)]. given #5506 (H,wt=14): 5837 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2932,a,5794,a)]. given #5507 (H,wt=15): 5744 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(85,a,5742,a)]. given #5508 (H,wt=10): 5840 R(x,x \ T(x,y),z) = x. [hyper(867,a,5744,a)]. given #5509 (H,wt=8): 5842 R(x,K(x,y),z) = x. [para(4958(a,2),5840(a,1,2))]. given #5510 (H,wt=8): 5844 R(x,K(y,x),z) = x. [para(5199(a,1),5842(a,1,2))]. given #5511 (H,wt=15): 5751 L(x,K(y,z),y) = L(x,u,K(w,w \ 1)). [hyper(227,a,4552,a,b,5750,a)]. given #5512 (H,wt=11): 5847 L(x,K(y,z),y) != u | u = x. [para(5751(a,2),360(a,1))]. given #5513 (H,wt=11): 5852 L(x,K(y,z),z) != u | u = x. [para(5199(a,1),5847(a,1,2))]. given #5514 (H,wt=15): 5758 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5754(a,1),100(a,1,2))]. given #5515 (H,wt=15): 5766 (K(x,y) * x) * z = K(x,y) * (x * z). [para(5762(a,1),100(a,1,2))]. given #5516 (H,wt=10): 5857 R(K(x,y),x,z) = K(x,y). [hyper(495,a,5766,a)]. given #5517 (H,wt=14): 5856 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(5639,a,5766,a)]. given #5518 (H,wt=15): 5773 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5769(a,1),100(a,1,2))]. given #5519 (H,wt=10): 5860 R(K(x,y),y,z) = K(x,y). [hyper(495,a,5773,a)]. given #5520 (H,wt=15): 5789 K(x / y,z) * x = y * T(y \ x,z). [hyper(17,a,2081,a,b,5747,a)]. given #5521 (H,wt=13): 5866 K((x \ y) / y,z) = K(x \ 1,z). [hyper(18,a,5258,a,b,5789,a)]. given #5522 (H,wt=13): 5867 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,5251,a,b,5789,a),flip(a)]. given #5523 (H,wt=13): 5868 K(x / (y * x),z) = K(y \ 1,z). [hyper(18,a,5259,a(flip),b,5789,a)]. given #5524 (H,wt=13): 5870 K((x * y) \ x,z) = K(y \ 1,z). [para(967(a,1),5866(a,1,1))]. given #5525 (H,wt=13): 5871 K(1 / (x / y),z) = K(y / x,z). [hyper(5442,a,5867,a)]. given #5526 (H,wt=13): 5873 K(x * (y \ 1),z) = K(x / y,z). [para(125(a,1),5867(a,1,1))]. given #5527 (H,wt=13): 5875 K(x / (y * x),z) = K(y,z \ 1). [hyper(227,a,5378,a(flip),b,5868,a)]. given #5528 (H,wt=13): 5877 K((x \ y) \ 1,z) = K(y \ x,z). [para(945(a,1),5868(a,1,1)),flip(a)]. given #5529 (H,wt=13): 5885 K(x / T(y,x),z) = K(y \ x,z). [para(659(a,1),5873(a,1,1)),flip(a)]. given #5530 (H,wt=13): 5886 K(T(x,y) / y,z) = K(y \ x,z). [para(1244(a,1),5873(a,1,1)),flip(a)]. given #5531 (H,wt=13): 5888 K(x \ y,z \ 1) = K(y \ x,z). [para(945(a,1),5875(a,1,1)),flip(a)]. given #5532 (H,wt=13): 5890 K((x \ 1) \ y,z) = K(x * y,z). [hyper(5443,a,5877,a),flip(a)]. given #5533 (H,wt=13): 5893 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(227,a,767,a(flip),b,5877,a)]. given #5534 (H,wt=10): 5914 L(K(x,y),x,z) = K(x,y). [hyper(227,a,5628,a,b,5893,a(flip)),flip(a)]. given #5535 (H,wt=8): 5920 a(x,y,K(y,z)) = 1. [hyper(34,a,5914,a)]. given #5536 (H,wt=8): 5926 a(x,y,K(z,y)) = 1. [para(5199(a,1),5920(a,1,3))]. given #5537 (H,wt=10): 5927 a(x,y,K(y * z,z)) = 1. [para(5201(a,2),5920(a,1,3))]. given #5538 (H,wt=10): 5928 a(x,y,K(z,y * z)) = 1. [para(5337(a,1),5920(a,1,3))]. given #5539 (H,wt=10): 5929 a(x,y \ 1,K(y,z)) = 1. [para(5379(a,1),5920(a,1,3))]. given #5540 (H,wt=10): 5930 L(K(x,y),y,z) = K(x,y). [hyper(33,a,5926,a)]. given #5541 (H,wt=12): 5924 L(x \ T(x,y),x,z) = K(x,y). [para(4958(a,1),5914(a,1,1))]. given #5542 (H,wt=12): 5933 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,5929,a)]. given #5543 (H,wt=13): 5907 K((1 / x) * y,z) = K(x \ y,z). [para(1202(a,1),5885(a,1,1))]. given #5544 (H,wt=13): 5908 K(T(x / y,x),z) = K(y \ x,z). [para(1223(a,1),5885(a,1,1))]. given #5545 (H,wt=13): 5910 K(x,(y \ z) * x) = K(z \ y,x). [hyper(5405,a,5888,a)]. given #5546 (H,wt=13): 5911 K(x,x * (y \ z)) = K(z \ y,x). [hyper(227,a,5340,a(flip),b,5888,a(flip)),flip(a)]. given #5547 (H,wt=13): 5918 (x * y) * K(y,z) = x * T(y,z). [para(5893(a,1),5249(a,1,2))]. given #5548 (H,wt=8): 5947 R(x,y,K(y,z)) = x. [hyper(5053,a,5918,a)]. given #5549 (H,wt=10): 5962 R(x,y,K(z,y \ 1)) = x. [para(5337(a,2),5947(a,1,3))]. given #5550 (H,wt=13): 5921 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(227,a,5002,a,b,5914,a(flip)),flip(a)]. given #5551 (H,wt=13): 5934 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(227,a,5501,a(flip),b,5930,a(flip)),flip(a)]. given #5552 (H,wt=12): 5984 R(x,y \ z,K(u,z \ y)) = x. [para(5934(a,1),5962(a,1,3))]. given #5553 (H,wt=13): 5938 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(227,a,483,a(flip),b,5924,a(flip)),flip(a)]. given #5554 (H,wt=13): 5941 K((1 / x) * y,x \ 1) = K(x,y). [hyper(227,a,5345,a(flip),b,5907,a)]. given #5555 (H,wt=13): 5942 K(x \ ((1 / x) \ y),z) = K(y,z). [para(14(a,1),5907(a,1,1)),flip(a)]. given #5556 (H,wt=13): 5945 K((x \ y) \ y,z) = K(T(x,y),z). [para(62(a,1),5908(a,1,1,1)),flip(a)]. given #5557 (H,wt=11): 5990 K(T(x,y),z) = T(K(x,z),y). [hyper(227,a,5436,a(flip),b,5945,a(flip))]. given #5558 (H,wt=11): 5992 K(T(x,K(y,z)),y) = K(x,y). [hyper(227,a,3067,a(flip),b,5990,a)]. given #5559 (H,wt=13): 5949 (x / y) * T(y,z) = x * K(y,z). [hyper(306,a,5918,a),flip(a)]. given #5560 (H,wt=13): 5967 K(x * (y \ z),x) = K(x,z \ y). [hyper(5341,a,5934,a)]. given #5561 (H,wt=13): 5968 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(4590,a,5934,a)]. given #5562 (H,wt=13): 5973 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),5934(a,1,2,1)),flip(a)]. given #5563 (H,wt=13): 5974 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),5934(a,2,2))]. given #5564 (H,wt=13): 5977 K(x,(y \ (y / z)) \ 1) = K(x,z). [para(65(a,1),5934(a,2,2))]. given #5565 (H,wt=10): 6021 K(x,L(y,z,z)) = K(x,y). [para(1031(a,1),5977(a,1,2))]. given #5566 (H,wt=10): 6030 K(x,L(y,z,y)) = K(x,y). [para(5525(a,1),6021(a,1,2))]. given #5567 (H,wt=10): 6031 K(x,R(y,z,y)) = K(x,y). [para(2875(a,1),6030(a,1,2)),flip(a)]. given #5568 (H,wt=12): 6022 K(x,L(y,z \ 1,z)) = K(x,y). [para(1401(a,1),5977(a,1,2))]. given #5569 (H,wt=12): 6028 K(x,L(y,z,z \ 1)) = K(x,y). [para(3611(a,2),6021(a,1,2))]. given #5570 (H,wt=12): 6029 T(x,L(y,z,z)) = K(x,y) * x. [para(6021(a,1),5004(a,2,1))]. given #5571 (H,wt=10): 6036 T(x,L(y,z,z)) = T(x,y). [hyper(227,a,5004,a,b,6029,a)]. given #5572 (H,wt=10): 6046 T(x,L(y,z,y)) = T(x,y). [para(5525(a,1),6036(a,1,2))]. given #5573 (H,wt=10): 6051 T(x,R(y,z,y)) = T(x,y). [para(2875(a,1),6046(a,1,2)),flip(a)]. given #5574 (H,wt=12): 6032 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(227,a,5101,a,b,6031,a)]. given #5575 (H,wt=13): 5989 K((x \ y) \ T(y,x),z) = K(x,z). [para(1208(a,2),5942(a,1,1,2))]. given #5576 (H,wt=10): 6057 K(R(x,y,x),z) = K(x,z). [para(2537(a,1),5989(a,1,1))]. given #5577 (H,wt=12): 6059 x * K(R(x,y,x),z) = T(x,z). [para(6057(a,2),4996(a,2,2)),flip(a)]. given #5578 (H,wt=13): 5991 K(T(x,y * x),z) = K(T(x,y),z). [para(1962(a,2),5945(a,1,1)),flip(a)]. given #5579 (H,wt=13): 5993 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(227,a,5440,a(flip),b,5990,a(flip))]. given #5580 (H,wt=13): 5994 x * K(T(y,x),z) = K(y,z) * x. [para(5990(a,2),113(a,1,2))]. given #5581 (H,wt=13): 5997 T(K(x,y),z) \ 1 = K(y,T(x,z)). [para(5990(a,1),5084(a,1,1))]. given #5582 (H,wt=13): 5999 (K(x,y) * z) * K(T(y,z),x) = z. [para(5990(a,2),5291(a,1,2))]. given #5583 (H,wt=13): 6002 (x * T(y,z)) / y = x * K(y,z). [hyper(2557,a,5949,a)]. given #5584 (H,wt=13): 6003 (x / T(y,z)) * K(y,z) = x / y. [hyper(2509,a,5949,a),flip(a)]. given #5585 (H,wt=13): 6005 (x / T(y,z)) \ (x / y) = K(y,z). [hyper(72,a,2455,a(flip),b,5949,a(flip))]. given #5586 (H,wt=13): 6007 (x * K(y,z)) * y = x * T(y,z). [para(5949(a,1),2451(a,1,1))]. given #5587 (H,wt=8): 6075 R(x,K(y,z),y) = x. [hyper(5068,a,6007,a)]. given #5588 (H,wt=8): 6088 R(x,K(y,z),z) = x. [para(5199(a,1),6075(a,1,2))]. given #5589 (H,wt=13): 6008 (x * K(y,z)) \ (x * T(y,z)) = y. [para(5949(a,1),2456(a,1,1))]. given #5590 (H,wt=8): 6092 L(x,K(x,y),z) = x. [hyper(5067,a,6008,a)]. given #5591 (H,wt=8): 6098 L(x,K(y,x),z) = x. [para(5199(a,1),6092(a,1,2))]. given #5592 (H,wt=12): 6094 L(T(x,y),K(x,z),u) = T(x,y). [para(6092(a,1),40(a,2,1))]. given #5593 (H,wt=13): 6011 K(x,(1 / y) * z) = K(x,y \ z). [para(313(a,1),5968(a,1,2))]. given #5594 (H,wt=13): 6012 K(x,T(y / z,y)) = K(x,z \ y). [para(642(a,2),5968(a,1,2))]. given #5595 (H,wt=13): 6016 K(x,(y / z) \ 1) = K(x,z / y). [para(963(a,1),5973(a,1,2)),flip(a)]. given #5596 (H,wt=13): 6017 K(x,y / (z * y)) = K(x,z \ 1). [para(968(a,1),5973(a,1,2))]. given #5597 (H,wt=13): 6023 K(x,T(T(y,z),z \ 1)) = K(x,y). [para(1023(a,2),6021(a,1,2))]. given #5598 (H,wt=13): 6024 K(x,y * (z \ 1)) = K(x,y / z). [para(1030(a,1),6021(a,1,2))]. given #5599 (H,wt=13): 6025 K(x,y / (1 / z)) = K(x,y * z). [para(1314(a,1),6021(a,1,2))]. given #5600 (H,wt=13): 6026 K(x,(y \ 1) \ z) = K(x,y * z). [para(1348(a,1),6021(a,1,2))]. given #5601 (H,wt=13): 6027 K(x,T(y,y * z)) = K(x,T(y,z)). [para(1567(a,2),6021(a,1,2))]. given #5602 (H,wt=13): 6033 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(2540(a,1),6031(a,1,2))]. given #5603 (H,wt=13): 6037 T(x,L(y,z,z)) != u | T(x,y) = u. [para(6029(a,2),5005(a,1))]. given #5604 (H,wt=13): 6038 T(x,(1 / y) * z) = T(x,y \ z). [para(1020(a,1),6036(a,1,2))]. given #5605 (H,wt=13): 6039 T(x,y * (z \ 1)) = T(x,y / z). [para(1030(a,1),6036(a,1,2))]. given #5606 (H,wt=13): 6040 T(x,(y \ z) \ 1) = T(x,z \ y). [para(1034(a,1),6036(a,1,2))]. given #5607 (H,wt=13): 6041 T(x,(y \ z) / z) = T(x,y \ 1). [para(1300(a,1),6036(a,1,2))]. given #5608 (H,wt=13): 6042 T(x,(y * z) \ y) = T(x,z \ 1). [para(1301(a,1),6036(a,1,2))]. given #5609 (H,wt=13): 6043 T(x,y / (1 / z)) = T(x,y * z). [para(1314(a,1),6036(a,1,2))]. given #5610 (H,wt=13): 6044 T(x,(y \ 1) \ z) = T(x,y * z). [para(1348(a,1),6036(a,1,2))]. given #5611 (H,wt=13): 6045 T(x,T(y,y * z)) = T(x,T(y,z)). [para(1567(a,2),6036(a,1,2))]. given #5612 (H,wt=13): 6054 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(2540(a,1),6051(a,1,2))]. given #5613 (H,wt=13): 6056 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6032(a,2),5107(a,1))]. given #5614 (H,wt=13): 6058 K(T(x,x * y),z) = K(T(x,y),z). [para(2558(a,1),6057(a,1,1)),flip(a)]. given #5615 (H,wt=13): 6105 K(x,(1 / x) * y) = K(x,y / x). [hyper(227,a,5085,a,b,6011,a)]. given #5616 (H,wt=13): 6107 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(62(a,1),6012(a,1,2,1)),flip(a)]. given #5617 (H,wt=13): 6108 K(x * (y / z),x) = K(x,z / y). [hyper(5341,a,6016,a)]. given #5618 (H,wt=13): 6113 K(x,y / (z * y)) = K(x,1 / z). [hyper(227,a,4222,a,b,6017,a)]. given #5619 (H,wt=13): 6119 K(x,T(y,z * y)) = K(x,T(y,z)). [para(2461(a,2),6027(a,1,2))]. given #5620 (H,wt=13): 6129 T(x,T(y,z) / z) = T(x,z \ y). [para(631(a,2),6038(a,1,2))]. given #5621 (H,wt=13): 6137 T(x,(y / z) \ 1) = T(x,z / y). [para(125(a,2),6039(a,1,2))]. given #5622 (H,wt=13): 6140 T(x,(y \ z) \ z) = T(x,T(y,z)). [hyper(227,a,1550,a(flip),b,6040,a(flip))]. given #5623 (H,wt=14): 5912 K(x \ y,x \ 1) != z | K(x,y) = z. [para(5888(a,2),5242(a,1))]. given #5624 (H,wt=14): 5931 L(K(x * y,y),x,z) = K(x * y,y). [hyper(33,a,5927,a)]. given #5625 (H,wt=14): 5932 L(K(x,y * x),y,z) = K(x,y * x). [hyper(33,a,5928,a)]. given #5626 (H,wt=14): 6116 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(264(a,1),6023(a,1,2,1))]. given #5627 (H,wt=14): 6120 K(x,T(y,y * x)) != z | K(x,y) = z. [para(6027(a,2),5097(a,1))]. given #5628 (H,wt=14): 6122 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(1029(a,2),6037(a,1,2))]. given #5629 (H,wt=14): 6151 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1052(a,1),6056(a,1,2))]. given #5630 (H,wt=14): 6159 K(x,y \ 1) != z | K(y,y * x) = z. [para(13(a,1),5912(a,1,1))]. given #5631 (H,wt=14): 6160 L(K(x * y,y),x,z) = K(y * x,y). [hyper(227,a,5301,a(flip),b,5931,a)]. given #5632 (H,wt=14): 6161 K(x \ (x * y),z) != u | K(y,z) = u. [para(2893(a,2),6120(a,1))]. given #5633 (H,wt=14): 6163 T(x,y \ 1) != z | T(x,1 / y) = z. [para(709(a,1),6122(a,1,2))]. given #5634 (H,wt=14): 6166 K(x * y,y) != z | K(x,x * y) = z. [para(5336(a,2),6159(a,1))]. given #5635 (H,wt=14): 6167 K(x,y * x) != z | K(x,x * y) = z. [para(5337(a,1),6159(a,1))]. given #5636 (H,wt=14): 6168 K(x * y,x) != z | K(y * x,x) = z. [para(6160(a,1),357(a,1)),flip(b)]. given #5637 (H,wt=14): 6169 L(K(x * y,x),y,z) = K(x * y,x). [para(5301(a,1),6160(a,1,1))]. given #5638 (H,wt=14): 6170 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),6161(a,1,1,2))]. given #5639 (H,wt=12): 6176 K(x,x / y) != z | K(y,x) = z. [para(5211(a,1),6170(a,1))]. given #5640 (H,wt=12): 6177 K(x,y \ x) != z | K(y,x) = z. [para(5217(a,1),6176(a,1))]. given #5641 (H,wt=12): 6179 K(x,y) != z | K(x / y,x) = z. [para(65(a,1),6177(a,1,2))]. given #5642 (H,wt=14): 6171 K(x,y) != z | K(u \ (u * x),y) = z. [para(53(a,1),6161(a,1,1))]. given #5643 (H,wt=14): 6173 K(x,y) != z | K((u / x) \ u,y) = z. [para(201(a,1),6161(a,1,1))]. given #5644 (H,wt=14): 6180 K(x \ y,y) != z | K(y / x,y) = z. [para(5211(a,2),6179(a,1))]. given #5645 (H,wt=15): 5790 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,1930,a,b,5747,a)]. given #5646 (H,wt=15): 5792 K(x,y) * (x * z) = z * T(T(x,z),y). [hyper(17,a,1921,a,b,5747,a)]. given #5647 (H,wt=15): 5814 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(227,a,5747,a,b,5791,a(flip)),flip(a)]. given #5648 (H,wt=15): 5817 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(72,a,5791,a(flip),b,5747,a)]. given #5649 (H,wt=15): 5823 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4958(a,2),5791(a,1,2)),flip(a)]. given #5650 (H,wt=15): 5824 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(227,a,5747,a,b,5795,a)]. given #5651 (H,wt=15): 5853 ((x * y) / x) * z = y * (K(x,y) * z). [para(4977(a,2),5758(a,1,1))]. given #5652 (H,wt=15): 5861 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2922(a,1),5773(a,1,1))]. given #5653 (H,wt=15): 5862 K(x,y) * (y * z) = ((x * y) / x) * z. [para(5010(a,2),5773(a,1,1)),flip(a)]. given #5654 (H,wt=15): 5863 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(166,a,5789,a,b,5248,a(flip))]. given #5655 (H,wt=15): 5874 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5867(a,1),5084(a,1,1)),flip(a)]. given #5656 (H,wt=15): 5881 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(113(a,1),5870(a,1,1,1)),flip(a)]. given #5657 (H,wt=15): 5894 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(227,a,5247,a,b,5877,a(flip)),flip(a)]. given #5658 (H,wt=15): 5900 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(5877(a,1),5084(a,1,1)),flip(a)]. given #5659 (H,wt=15): 5902 x * T(x \ y,z) = y * K(x \ y,z). [para(5877(a,1),5248(a,2,2))]. given #5660 (H,wt=15): 5909 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(227,a,5885,a,b,5886,a)]. given #5661 (H,wt=15): 5936 (x * y) * K(z,y) = x * (y * K(z,y)). [para(5930(a,1),100(a,1,2))]. given #5662 (H,wt=13): 6213 (x * y) * K(x,y) = T(x,y) * y. [hyper(227,a,5165,a(flip),b,5936,a)]. given #5663 (H,wt=15): 5946 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(227,a,5199,a,b,5911,a),flip(a)]. given #5664 (H,wt=15): 5971 K(x \ y,z \ u) = K(y \ x,u \ z). [hyper(227,a,5888,a(flip),b,5934,a(flip))]. given #5665 (H,wt=15): 5986 (1 / x) * ((y / x) \ T(y,z)) = K(y,z). [hyper(227,a,1523,a,b,5938,a(flip)),flip(a)]. given #5666 (H,wt=15): 5987 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [hyper(72,a,5938,a(flip),b,1523,a)]. given #5667 (H,wt=15): 5996 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5990(a,1),5004(a,2,1)),flip(a)]. given #5668 (H,wt=15): 6009 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(5949(a,1),2449(a,1,1)),flip(a)]. given #5669 (H,wt=15): 6010 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(227,a,5211,a,b,5967,a),flip(a)]. given #5670 (H,wt=15): 6013 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(792(a,1),5968(a,1,2))]. given #5671 (H,wt=15): 6047 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(408,a,6046,a),flip(a)]. given #5672 (H,wt=15): 6050 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(6046(a,1),113(a,1,2))]. given #5673 (H,wt=15): 6052 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(408,a,6051,a),flip(a)]. given #5674 (H,wt=15): 6053 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(6051(a,1),113(a,1,2))]. given #5675 (H,wt=15): 6055 T(x,(y * z) / y) = T(x,y / (y / z)). [para(3292(a,1),6051(a,1,2))]. given #5676 (H,wt=15): 6060 K(x,y) * R(x,z,x) = T(R(x,z,x),y). [para(6057(a,1),5004(a,2,1)),flip(a)]. given #5677 (H,wt=15): 6065 K((x * y) / x,z) * x = x * K(y,z). [para(160(a,1),5994(a,1,2,1)),flip(a)]. given #5678 (H,wt=15): 6066 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(5997(a,1),4954(a,2,2)),flip(a)]. given #5679 (H,wt=15): 6068 x * T(y * K(x,z),x) = y * T(x,z). [para(6002(a,1),165(a,1,2,1))]. given #5680 (H,wt=15): 6074 T(x \ 1,y) \ (1 / x) = K(x,x \ y). [para(795(a,1),6005(a,1,1))]. given #5681 (H,wt=15): 6084 T(x,y) * T(x,y) = x * T(T(x,y),y). [para(5083(a,1),6007(a,1,1))]. given #5682 (H,wt=15): 6090 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6088(a,1),2936(a,1,1)),flip(a)]. given #5683 (H,wt=15): 6093 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(227,a,5558,a(flip),b,6092,a(flip)),flip(a)]. given #5684 (H,wt=15): 6117 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(2497(a,1),6023(a,1,2,1))]. given #5685 (H,wt=15): 6118 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [para(1566(a,1),6027(a,1,2))]. given #5686 (H,wt=15): 6130 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [para(794(a,1),6038(a,1,2))]. given #5687 (H,wt=15): 6131 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [para(1190(a,1),6038(a,1,2))]. given #5688 (H,wt=15): 6148 T(x,(y * z) * y) = T(x,y * (z * y)). [para(2005(a,1),6043(a,1,2)),flip(a)]. given #5689 (H,wt=15): 6150 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(1958(a,1),6045(a,1,2)),flip(a)]. given #5690 (H,wt=15): 6154 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(227,a,5211,a,b,6108,a),flip(a)]. given #5691 (H,wt=15): 6162 T(x,y) \ (1 / y) = T(x \ (y \ 1),y). [hyper(6122,a,2694,a),flip(a)]. given #5692 (H,wt=15): 6186 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(227,a,3012,a(flip),b,5823,a)]. given #5693 (H,wt=15): 6191 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(227,a,86,a(flip),b,5861,a)]. given #5694 (H,wt=15): 6193 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(227,a,5758,a(flip),b,5861,a(flip))]. given #5695 (H,wt=15): 6195 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(308,a,5862,a),flip(a)]. given #5696 (H,wt=15): 6199 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(227,a,5433,a(flip),b,5881,a(flip))]. given #5697 (H,wt=15): 6212 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(227,a,5152,a,b,5936,a)]. given #5698 (H,wt=15): 6216 K(x,x * ((y * z) \ y)) = K(x,z \ x). [para(13(a,1),5946(a,1,2,1)),flip(a)]. given #5699 (H,wt=15): 6218 (1 / x) * (y * (x / y)) = K(y,y \ x). [para(4863(a,1),5986(a,1,2))]. given #5700 (H,wt=15): 6219 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(62(a,1),5987(a,2,1))]. given #5701 (H,wt=15): 6220 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(65(a,1),6013(a,2,2,2))]. given #5702 (H,wt=15): 6228 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(227,a,42,a,b,6060,a)]. given #5703 (H,wt=15): 6230 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [para(6066(a,1),5314(a,1,1))]. given #5704 (H,wt=15): 6234 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(227,a,5936,a,b,6090,a)]. given #5705 (H,wt=15): 6237 (x * y) / (y * K(z,y)) = x * K(y,z). [para(6093(a,1),62(a,1,2))]. given #5706 (H,wt=15): 6238 x / (y * K(z,y)) = (x / y) * K(y,z). [para(6093(a,1),277(a,1,2))]. given #5707 (H,wt=15): 6240 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(65(a,1),6130(a,2,2,2))]. given #5708 (H,wt=15): 6253 K(x,(y / z) \ x) = K(x,x * (z / y)). [para(963(a,1),6216(a,1,2,2)),flip(a)]. given #5709 (H,wt=15): 6258 (x * y) / ((z * y) / z) = x * K(y,z). [para(4977(a,2),6237(a,1,2))]. given #5710 (H,wt=15): 6263 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(227,a,5166,a(flip),b,6258,a(flip)),flip(a)]. given #5711 (H,wt=16): 5787 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(72,a,5424,a(flip),b,5747,a),flip(a)]. given #5712 (H,wt=16): 5796 T(x,y) * z != x * u | K(x,y) * z = u. [para(5747(a,1),19(a,1))]. given #5713 (H,wt=16): 5799 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(5747(a,1),282(a,1,2)),flip(b)]. given #5714 (H,wt=16): 5804 K(x,y) * (T(x,y) \ z) != u | x \ z = u. [para(5783(a,1),205(a,1,2)),flip(b)]. given #5715 (H,wt=16): 5805 T(x,y) * z != x * u | K(x,y) \ u = z. [para(5784(a,1),19(a,1)),flip(a)]. given #5716 (H,wt=16): 5806 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5788(a,1),19(a,1))]. given #5717 (H,wt=16): 5809 K(x,y) \ (x \ z) != u | T(x,y) \ z = u. [para(5788(a,1),282(a,1,2)),flip(b)]. given #5718 (H,wt=16): 5827 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5795(a,1),308(a,1))]. given #5719 (H,wt=16): 5838 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(72,a,5794,a(flip),b,5006,a)]. given #5720 (H,wt=16): 5839 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(72,a,5837,a(flip),b,5747,a),flip(a)]. given #5721 (H,wt=16): 5878 K(x / (y * x),z) != u | K(y,z \ 1) = u. [para(5868(a,2),5380(a,1))]. given #5722 (H,wt=16): 5887 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(5873(a,2),5428(a,1))]. given #5723 (H,wt=16): 5889 K(x / (y * x),z) != u | K(y \ 1,z) = u. [para(5875(a,2),5393(a,1))]. given #5724 (H,wt=16): 5903 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(5877(a,1),5443(a,1))]. given #5725 (H,wt=16): 5935 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(5930(a,1),45(a,1,1)),flip(a)]. given #5726 (H,wt=16): 5939 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(227,a,5497,a(flip),b,5933,a(flip)),flip(a)]. given #5727 (H,wt=16): 5951 x * T(y,z) != u * K(y,z) | x * y = u. [para(5918(a,1),20(a,1))]. given #5728 (H,wt=16): 5966 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5921(a,1),205(a,1,2)),flip(b)]. given #5729 (H,wt=16): 5995 x * K(T(y,x),z) != u * x | K(y,z) = u. [para(5990(a,2),169(a,1,2)),flip(b)]. given #5730 (H,wt=16): 5998 T(K(x,y),z) \ 1 != u | K(y,T(x,z)) = u. [para(5990(a,1),5096(a,1,1))]. given #5731 (H,wt=16): 6019 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(227,a,5930,a,b,5974,a),flip(a)]. given #5732 (H,wt=16): 6063 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2291,a,5994,a),flip(a)]. given #5733 (H,wt=16): 6064 x * K(T(y,z),u) != K(y,u) * z | x = z. [para(5994(a,1),20(a,2))]. given #5734 (H,wt=16): 6067 x * K(T(y,z),u) != z | K(u,y) * z = x. [para(5999(a,1),20(a,1)),flip(a)]. given #5735 (H,wt=16): 6069 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6002(a,1),207(a,1,1)),flip(b)]. given #5736 (H,wt=16): 6071 x / y != z * K(y,u) | x / T(y,u) = z. [para(6003(a,1),20(a,1))]. given #5737 (H,wt=16): 6080 x / R(y,y \ x,y) = (y \ x) * K(y,x). [hyper(18,a,5663,a,b,6007,a),flip(a)]. given #5738 (H,wt=16): 6121 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(1020(a,1),6037(a,1,2))]. given #5739 (H,wt=14): 6282 T(x,1 / y) != z | T(x,y \ 1) = z. [para(12(a,1),6121(a,1,2))]. given #5740 (H,wt=16): 6123 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(1030(a,1),6037(a,1,2))]. given #5741 (H,wt=16): 6124 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(1034(a,1),6037(a,1,2))]. given #5742 (H,wt=16): 6125 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(1300(a,1),6037(a,1,2))]. given #5743 (H,wt=16): 6126 T(x,(y * z) \ y) != u | T(x,z \ 1) = u. [para(1301(a,1),6037(a,1,2))]. given #5744 (H,wt=16): 6127 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(1348(a,1),6037(a,1,2))]. given #5745 (H,wt=16): 6128 T(x,y * z) != u | T(x,(y \ 1) \ z) = u. [para(1387(a,1),6037(a,1,2))]. given #5746 (H,wt=16): 6152 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(2540(a,1),6056(a,1,2))]. given #5747 (H,wt=16): 6155 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(6113(a,2),4237(a,1))]. given #5748 (H,wt=16): 6165 K(x \ y,z \ 1) != u | K(y \ x,z) = u. [para(5888(a,1),6151(a,1))]. given #5749 (H,wt=16): 6175 K(((x * y) \ x) \ 1,z) != u | K(y,z) = u. [para(5877(a,2),6161(a,1))]. given #5750 (H,wt=13): 6295 L(K(x,y),x,z) != u | K(x,y) = u. [para(5628(a,2),6175(a,1))]. given #5751 (H,wt=16): 6182 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5792(a,2),394(a,1))]. given #5752 (H,wt=16): 6198 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5874(a,2),5096(a,1))]. given #5753 (H,wt=16): 6207 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5900(a,2),5096(a,1))]. given #5754 (H,wt=16): 6266 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(3072,a,5787,a)]. given #5755 (H,wt=16): 6268 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5301(a,2),5787(a,1,2))]. given #5756 (H,wt=16): 6271 T(x,y) * z != u | K(x,y) * (x * z) = u. [para(13(a,1),5827(a,1,2))]. given #5757 (H,wt=16): 6272 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(3072,a,5839,a)]. given #5758 (H,wt=16): 6273 K((x \ y) / y,z) != u | K(x \ 1,z) = u. [para(14(a,1),5889(a,1,1,2))]. given #5759 (H,wt=16): 6274 K(x \ (x / y),z) != u | K(y \ 1,z) = u. [para(944(a,1),5889(a,1,1))]. given #5760 (H,wt=16): 6277 x * K(y,z) != u | (x / y) * T(y,z) = u. [para(16(a,1),5966(a,1,1))]. given #5761 (H,wt=16): 6280 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6019(a,1),357(a,1)),flip(b)]. given #5762 (H,wt=13): 6309 L(K(x,y),y,z) != u | K(x,y) = u. [para(6019(a,2),6280(a,1))]. given #5763 (H,wt=16): 6284 T(x,(y / z) \ 1) != u | T(x,z / y) = u. [para(125(a,2),6123(a,1,2))]. given #5764 (H,wt=16): 6287 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(2513(a,2),6127(a,1))]. given #5765 (H,wt=16): 6290 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(16(a,1),6155(a,1,2,2))]. given #5766 (H,wt=16): 6291 K(x,y \ (y / z)) != u | K(x,z \ 1) = u. [para(944(a,1),6155(a,1,2))]. given #5767 (H,wt=16): 6293 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5378(a,2),6165(a,1))]. given #5768 (H,wt=16): 6294 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(963(a,1),6175(a,1,1,1))]. given #5769 (H,wt=14): 6314 K(x \ y,x) != z | K(y / x,x) = z. [para(4802(a,1),6294(a,1))]. given #5770 (H,wt=16): 6298 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(14(a,1),6182(a,1,2))]. given #5771 (H,wt=16): 6300 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(125(a,1),6198(a,1,2))]. given #5772 (H,wt=16): 6304 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(4222(a,2),6207(a,1))]. given #5773 (H,wt=16): 6307 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5301(a,2),6266(a,1,1))]. given #5774 (H,wt=16): 6313 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5863(a,2),6293(a,1))]. given #5775 (H,wt=16): 6315 K(x / y,z \ 1) != u | K(y / x,z) = u. [para(5378(a,1),6294(a,1))]. given #5776 (H,wt=16): 6317 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(313(a,1),6304(a,1,2))]. given #5777 (H,wt=16): 6318 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(642(a,2),6304(a,1,2))]. given #5778 (H,wt=16): 6319 T(K(x,y),z) != u | K((x \ z) \ z,y) = u. [para(62(a,1),6313(a,1,1,1))]. given #5779 (H,wt=16): 6321 K(T(x / y,x),z) != u | K(y \ x,z) = u. [para(5990(a,2),6313(a,1))]. given #5780 (H,wt=16): 6322 K(x,y * z) != u | K(x,(y \ 1) \ z) = u. [para(62(a,1),6317(a,1,2,1))]. given #5781 (H,wt=16): 6325 K((1 / x) * y,z) != u | K(x \ y,z) = u. [para(629(a,1),6321(a,1,1))]. given #5782 (H,wt=16): 6326 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(649(a,1),6321(a,1,1))]. given #5783 (H,wt=16): 6327 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(1223(a,2),6321(a,1,1))]. given #5784 (H,wt=17): 5775 (1 / x) * (K(x,y) * z) = (K(x,y) / x) * z. [para(5756(a,1),3028(a,1,2)),flip(a)]. given #5785 (H,wt=17): 5798 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(113(a,1),5747(a,1,2)),flip(a)]. given #5786 (H,wt=17): 5801 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(3070(a,1),5747(a,1,2))]. given #5787 (H,wt=17): 5807 K(x / y,y) * ((y \ x) \ z) = (x / y) \ z. [para(115(a,1),5788(a,1,2,1))]. given #5788 (H,wt=17): 5810 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(1680,a,5791,a)]. given #5789 (H,wt=17): 5811 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(227,a,5219,a,b,5791,a)]. given #5790 (H,wt=17): 5819 (x \ y) * ((y / x) \ z) = K(y / x,x) * z. [para(115(a,1),5791(a,1,1))]. given #5791 (H,wt=17): 5825 K(x,x \ y) * (x * z) = ((x \ y) \ y) * z. [hyper(227,a,244,a(flip),b,5795,a)]. given #5792 (H,wt=17): 5836 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(72,a,5782,a(flip),b,4902,a),flip(a)]. given #5793 (H,wt=17): 5854 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4980(a,2),5758(a,1,1))]. given #5794 (H,wt=17): 5855 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5011(a,1),5758(a,1,1)),flip(a)]. given #5795 (H,wt=17): 5864 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(73,a,1647,a(flip),b,5789,a)]. given #5796 (H,wt=17): 5883 K(x * (y * (z \ 1)),u) = K(x / (z / y),u). [para(125(a,1),5873(a,1,1,2))]. given #5797 (H,wt=17): 5884 K(x / ((1 / y) * z),u) = K(x * (z \ y),u). [para(250(a,1),5873(a,1,1,2)),flip(a)]. given #5798 (H,wt=15): 6344 K((x / y) * x,z) = K(x * (y \ x),z). [para(1181(a,1),5884(a,1,1))]. given #5799 (H,wt=17): 5895 (x \ y) \ K(y \ x,z) = T((x \ y) \ 1,z). [hyper(72,a,5877,a(flip),b,4957,a)]. given #5800 (H,wt=17): 5904 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(5877(a,1),5462(a,2,2))]. given #5801 (H,wt=17): 5957 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4970(a,1),5918(a,1,1)),flip(a)]. given #5802 (H,wt=17): 5981 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5934(a,1),5359(a,1,2))]. given #5803 (H,wt=17): 5982 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(5934(a,1),5543(a,2,2))]. given #5804 (H,wt=15): 6348 K(x,y / z) * y = y * K(x,z \ y). [para(6016(a,1),5982(a,1,1))]. given #5805 (H,wt=13): 6349 T(K(x,y / z),y) = K(x,z \ y). [hyper(166,a,6348,a,b,xx)]. given #5806 (H,wt=13): 6350 K(T(x,y),y / z) = K(x,z \ y). [hyper(18,a,5994,a(flip),b,6348,a)]. given #5807 (H,wt=17): 6000 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(5992(a,1),5004(a,2,1)),flip(a)]. given #5808 (H,wt=17): 6034 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(6031(a,1),5449(a,1,2)),flip(a)]. given #5809 (H,wt=17): 6035 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(605(a,1),6022(a,1,2)),flip(a)]. given #5810 (H,wt=17): 6077 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(227,a,2928,a,b,6007,a)]. given #5811 (H,wt=17): 6106 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [para(263(a,1),6011(a,1,2,1)),flip(a)]. given #5812 (H,wt=17): 6132 T(x,y \ z) * (z \ y) = ((1 / y) * z) \ x. [para(6038(a,1),1260(a,1,1))]. given #5813 (H,wt=17): 6156 (x / y) / ((x / y) * z) = 1 / T(z,y / x). [para(6137(a,1),689(a,1,2)),flip(a)]. given #5814 (H,wt=17): 6157 T(x,y / z) * (z / y) = (1 / (z / y)) \ x. [para(6137(a,1),1537(a,1,1))]. given #5815 (H,wt=17): 6185 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(227,a,5106,a,b,5823,a),flip(a)]. given #5816 (H,wt=17): 6190 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(5795(a,1),5853(a,2,2))]. given #5817 (H,wt=15): 6363 (x * y) / (1 / x) = y * (T(x,y) * x). [hyper(2023,a,6190,a)]. given #5818 (H,wt=15): 6364 (x * y) / (1 / x) = y * (x * T(x,y)). [para(187(a,1),6363(a,2,2))]. given #5819 (H,wt=13): 6365 x * (y * T(y,x)) = y * (x * y). [hyper(227,a,2005,a(flip),b,6364,a(flip))]. given #5820 (H,wt=17): 6194 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5011(a,1),5861(a,1,1)),flip(a)]. given #5821 (H,wt=17): 6214 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5011(a,1),5936(a,2,2))]. given #5822 (H,wt=17): 6215 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(5936(a,1),6007(a,1,1))]. given #5823 (H,wt=17): 6221 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(6047(a,1),113(a,1,2)),flip(a)]. given #5824 (H,wt=17): 6222 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(115(a,1),6050(a,1,2))]. given #5825 (H,wt=17): 6223 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(6052(a,1),113(a,1,2)),flip(a)]. given #5826 (H,wt=17): 6224 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [para(6052(a,1),161(a,1,1,2))]. given #5827 (H,wt=17): 6225 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(115(a,1),6053(a,1,2))]. given #5828 (H,wt=17): 6231 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6027(a,1),6066(a,1,2))]. given #5829 (H,wt=13): 6374 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(227,a,6066,a(flip),b,6231,a(flip))]. given #5830 (H,wt=13): 6375 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(14(a,1),6374(a,1,1)),flip(a)]. given #5831 (H,wt=16): 6376 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(6375(a,1),6161(a,1))]. given #5832 (H,wt=16): 6377 K(x,K(y,z)) != u | K(y \ x,K(y,z)) = u. [para(14(a,1),6376(a,1,1))]. given #5833 (H,wt=17): 6235 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(5918(a,1),6090(a,1,1)),flip(a)]. given #5834 (H,wt=17): 6239 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6040(a,1),6117(a,1,2)),flip(a)]. given #5835 (H,wt=17): 6243 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(6186(a,1),5104(a,1,1))]. given #5836 (H,wt=17): 6246 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(5011(a,1),6191(a,1,1))]. given #5837 (H,wt=17): 6251 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(72,a,5795,a(flip),b,6195,a)]. given #5838 (H,wt=17): 6254 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(301,a,6218,a)]. given #5839 (H,wt=17): 6256 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(72,a,6228,a(flip),b,5791,a)]. given #5840 (H,wt=17): 6261 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5011(a,1),6238(a,1,2)),flip(a)]. given #5841 (H,wt=17): 6264 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4980(a,2),6263(a,1,1,2))]. given #5842 (H,wt=17): 6265 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5011(a,1),6263(a,1,1,2))]. given #5843 (H,wt=17): 6331 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(5088(a,1),5807(a,1,1))]. given #5844 (H,wt=17): 6333 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. [para(5088(a,1),5819(a,2,1))]. given #5845 (H,wt=17): 6335 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(5836(a,1),14(a,1,2))]. given #5846 (H,wt=15): 6394 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4949(a,2),6335(a,2,1))]. given #5847 (H,wt=15): 6395 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,5814,a,b,6394,a)]. given #5848 (H,wt=13): 6399 K(x,y) * (x \ y) = y * (x \ 1). [hyper(707,a,6395,a),flip(a)]. given #5849 (H,wt=15): 6396 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(17,a,5824,a(flip),b,6394,a)]. given #5850 (H,wt=15): 6397 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),6394(a,1,2)),flip(a)]. given #5851 (H,wt=15): 6401 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4977(a,1),6395(a,1,1))]. given #5852 (H,wt=15): 6407 x / (K(y,z) * (y \ x)) = y * K(z,y). [para(6401(a,1),62(a,1,2))]. given #5853 (H,wt=17): 6340 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(72,a,14,a(flip),b,5855,a),flip(a)]. given #5854 (H,wt=17): 6353 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(6349(a,1),5996(a,1,1))]. given #5855 (H,wt=17): 6355 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(227,a,2931,a(flip),b,6034,a)]. given #5856 (H,wt=17): 6370 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(73,a,6214,a(flip),b,6234,a)]. given #5857 (H,wt=17): 6386 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(15(a,1),6265(a,1,1)),flip(a)]. given #5858 (H,wt=17): 6391 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(13(a,1),6333(a,1,2)),flip(a)]. given #5859 (H,wt=17): 6402 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(227,a,5791,a,b,6396,a)]. given #5860 (H,wt=17): 6404 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(72,a,6397,a(flip),b,5791,a),flip(a)]. given #5861 (H,wt=17): 6410 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(409,a,6370,a),flip(a)]. given #5862 (H,wt=17): 6417 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(227,a,1927,a(flip),b,6404,a)]. given #5863 (H,wt=17): 6418 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(227,a,2439,a(flip),b,6417,a(flip)),flip(a)]. given #5864 (H,wt=13): 6419 x * (T(x,y) \ z) = K(y,x) * z. [hyper(227,a,6195,a(flip),b,6418,a(flip))]. given #5865 (H,wt=13): 6420 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(72,a,6195,a(flip),b,6418,a(flip))]. given #5866 (H,wt=13): 6421 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(17,a,5853,a(flip),b,6418,a(flip)),flip(a)]. given #5867 (H,wt=13): 6424 T(x,y) \ (x * z) = K(y,x) * z. [hyper(17,a,6193,a(flip),b,6419,a)]. given #5868 (H,wt=13): 6425 K(x,y) * (T(y,x) * z) = y * z. [para(13(a,1),6419(a,1,2)),flip(a)]. given #5869 (H,wt=13): 6427 T(x,y) * (K(y,x) * z) = x * z. [para(6419(a,1),1926(a,1,2))]. given #5870 (H,wt=11): 6443 K(x,y) \ z = K(y,x) * z. [hyper(5805,a,6427,a)]. given #5871 (H,wt=11): 6444 K(x,y) * (K(y,x) * z) = z. [hyper(5796,a,6427,a)]. given #5872 (H,wt=11): 6454 (x * K(y,z)) \ x = K(z,y). [hyper(1102,a,6443,a)]. given #5873 (H,wt=11): 6455 x / (K(y,z) * x) = K(z,y). [hyper(458,a,6443,a)]. given #5874 (H,wt=11): 6496 (x * K(y,z)) * K(z,y) = x. [para(6454(a,1),14(a,1,2))]. given #5875 (H,wt=11): 6497 x / K(y,z) = x * K(z,y). [para(6454(a,1),62(a,1,2))]. given #5876 (H,wt=13): 6434 (x * y) / (T(x,z) * y) = K(z,x). [hyper(1933,a,6424,a)]. given #5877 (H,wt=13): 6435 K(x,y) \ (y * z) = T(y,x) * z. [hyper(1932,a,6424,a)]. given #5878 (H,wt=13): 6451 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(5128,a,6443,a)]. given #5879 (H,wt=13): 6452 K(x,y) * (1 / z) = K(x,y) / z. [hyper(5127,a,6443,a),flip(a)]. given #5880 (H,wt=10): 6537 L(K(x,y),z,z) = K(x,y). [hyper(18,a,1318,a,b,6452,a),flip(a)]. given #5881 (H,wt=12): 6539 L(K(x,y),z \ 1,z) = K(x,y). [hyper(1400,a,6537,a)]. given #5882 (H,wt=12): 6540 L(K(x,y),z,1 / z) = K(x,y). [hyper(1162,a,6537,a)]. given #5883 (H,wt=13): 6456 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(420,a,6443,a,b,xx),flip(a)]. given #5884 (H,wt=13): 6457 x * K(T(y,x),z) = K(z,y) \ x. [hyper(227,a,5994,a,b,6443,a),flip(a)]. given #5885 (H,wt=13): 6462 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(166,a,6443,a(flip),b,659,a),flip(a)]. given #5886 (H,wt=11): 6555 K(x,T(y,z)) = T(K(x,y),z). [hyper(5998,a,6462,a)]. given #5887 (H,wt=11): 6559 K(T(x,y),z) = K(x,T(z,y)). [hyper(227,a,5990,a,b,6555,a),flip(a)]. given #5888 (H,wt=10): 6599 a(x,y,K(z,T(y,u))) = 1. [para(6559(a,1),5926(a,1,3))]. given #5889 (H,wt=10): 6604 a(x,T(y,z),K(u,y)) = 1. [para(2496(a,1),6599(a,1,3,2))]. given #5890 (H,wt=11): 6564 K(x,T(y,K(x,z))) = K(x,y). [hyper(227,a,5207,a(flip),b,6555,a)]. given #5891 (H,wt=12): 6565 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(227,a,3040,a(flip),b,6555,a)]. given #5892 (H,wt=12): 6575 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6555(a,1),3041(a,1,2,1))]. given #5893 (H,wt=12): 6605 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,6604,a)]. given #5894 (H,wt=13): 6474 (K(x,y) \ 1) \ z = K(x,y) * z. [para(5084(a,2),6443(a,1,1))]. given #5895 (H,wt=13): 6493 (K(x,y) * z) \ K(x,y) = z \ 1. [para(6444(a,1),5104(a,1,1)),flip(a)]. given #5896 (H,wt=13): 6503 (K(x,y) * z) \ z = K(y,T(x,z)). [para(5994(a,1),6454(a,1,1))]. given #5897 (H,wt=13): 6504 (x / y) \ (x / T(y,z)) = K(z,y). [para(6003(a,1),6454(a,1,1))]. given #5898 (H,wt=13): 6508 x * K(y,T(z,x)) = K(y,z) * x. [hyper(6067,a,6496,a),flip(a)]. given #5899 (H,wt=13): 6509 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(6064,a,6496,a)]. given #5900 (H,wt=13): 6511 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,6003,a,b,6496,a)]. given #5901 (H,wt=13): 6512 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,5918,a,b,6496,a)]. given #5902 (H,wt=13): 6514 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(18,a,5105,a,b,6496,a)]. given #5903 (H,wt=13): 6515 (x * K(y,z)) / z = x / T(z,y). [hyper(73,a,6496,a(flip),b,5949,a),flip(a)]. given #5904 (H,wt=13): 6524 (x * K(y,z)) * T(z,y) = x * z. [para(6496(a,1),6007(a,1,1)),flip(a)]. given #5905 (H,wt=13): 6541 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(1154,a,6537,a)]. given #5906 (H,wt=13): 6543 (1 / x) \ K(y,z) = x * K(y,z). [hyper(72,a,6537,a(flip),b,1021,a)]. given #5907 (H,wt=13): 6554 x / K(y,T(z,x)) = K(y,z) \ x. [hyper(227,a,6497,a,b,6457,a(flip)),flip(a)]. given #5908 (H,wt=13): 6560 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(227,a,5436,a,b,6555,a),flip(a)]. given #5909 (H,wt=13): 6562 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(227,a,5993,a(flip),b,6555,a)]. given #5910 (H,wt=13): 6563 K(x / y,T(z,x)) = K(y \ x,z). [hyper(227,a,5438,a(flip),b,6555,a)]. given #5911 (H,wt=13): 6566 K(x,T(y,T(T(x,z),u))) = K(x,y). [hyper(227,a,3030,a(flip),b,6555,a)]. given #5912 (H,wt=13): 6570 K(x,T(y,y \ z)) = T(K(x,y),z). [hyper(227,a,6033,a,b,6555,a(flip)),flip(a)]. given #5913 (H,wt=13): 6574 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(6555(a,2),1938(a,1,2))]. given #5914 (H,wt=13): 6576 x * T(K(x,y),z) = T(x,T(y,z)). [para(6555(a,1),4996(a,2,2)),flip(a)]. given #5915 (H,wt=13): 6579 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [para(6555(a,2),5997(a,1,1))]. given #5916 (H,wt=13): 6586 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(227,a,6058,a(flip),b,6559,a(flip))]. given #5917 (H,wt=13): 6590 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),6559(a,1,1)),flip(a)]. given #5918 (H,wt=13): 6591 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),6559(a,2,2))]. given #5919 (H,wt=13): 6592 K((x * y) / x,T(z,x)) = K(y,z). [para(160(a,1),6559(a,1,1)),flip(a)]. given #5920 (H,wt=10): 6677 R(x,K(y,z),T(z,u)) = x. [para(6592(a,1),6088(a,1,2))]. given #5921 (H,wt=13): 6621 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(17,a,6444,a,b,6508,a(flip)),flip(a)]. given #5922 (H,wt=13): 6633 (x / T(y,z)) * y = x * K(z,y). [hyper(306,a,6512,a),flip(a)]. given #5923 (H,wt=13): 6649 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(78,a,6524,a)]. given #5924 (H,wt=13): 6650 (x / y) \ T(x,z) = y * K(x,z). [hyper(17,a,5986,a,b,6541,a),flip(a)]. given #5925 (H,wt=13): 6653 (x \ y) * K(y,z) = x \ T(y,z). [hyper(227,a,6219,a(flip),b,6543,a(flip))]. given #5926 (H,wt=13): 6658 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(227,a,6555,a,b,6562,a)]. given #5927 (H,wt=13): 6666 K(x,T(y,z / y)) = T(K(x,y),z). [para(1952(a,2),6570(a,1,2))]. given #5928 (H,wt=13): 6669 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(227,a,6559,a(flip),b,6586,a)]. given #5929 (H,wt=13): 6685 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(18,a,6496,a,b,6653,a),flip(a)]. given #5930 (H,wt=13): 6687 (x \ T(y,z)) \ (x \ y) = K(z,y). [para(6653(a,1),6454(a,1,1))]. given #5931 (H,wt=13): 6691 (T(x,y) / z) \ x = z * K(y,x). [hyper(615,a,6685,a),flip(a)]. given #5932 (H,wt=14): 6463 K(x,y) * (K(y,x) * z) != u | u = z. [para(6443(a,1),205(a,1,2))]. given #5933 (H,wt=14): 6464 x / (K(y,z) * x) != u | K(z,y) = u. [para(6443(a,1),292(a,1,2)),flip(b)]. given #5934 (H,wt=14): 6490 K(x,y) * z != u | K(y,x) * u = z. [para(6444(a,1),19(a,1)),flip(a)]. given #5935 (H,wt=14): 6491 K(x,y) \ z != u | K(y,x) * z = u. [para(6444(a,1),282(a,1,2)),flip(b)]. given #5936 (H,wt=14): 6498 x * K(y,z) != u | u * K(z,y) = x. [para(6454(a,1),84(a,1,2)),flip(b)]. given #5937 (H,wt=14): 6499 (x * K(y,z)) * K(z,y) != u | u = x. [para(6454(a,1),205(a,1,2))]. given #5938 (H,wt=14): 6500 x / K(y,z) != u | x * K(z,y) = u. [para(6454(a,1),292(a,1,2)),flip(b)]. given #5939 (H,wt=14): 6517 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6496(a,1),282(a,1,2)),flip(b)]. given #5940 (H,wt=14): 6526 x / K(y,z) != x * u | K(z,y) = u. [para(6497(a,2),19(a,1))]. given #5941 (H,wt=14): 6558 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6462(a,1),5998(a,1))]. given #5942 (H,wt=14): 6595 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(1480(a,1),6559(a,1,1)),flip(a)]. given #5943 (H,wt=14): 6603 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,6599,a)]. given #5944 (H,wt=14): 6615 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(6503(a,1),5133(a,1))]. given #5945 (H,wt=14): 6668 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(6579(a,1),5096(a,1))]. given #5946 (H,wt=14): 6693 K(x,y) * z != u | K(y,x) \ z = u. [para(14(a,1),6463(a,1,2)),flip(b)]. given #5947 (H,wt=14): 6701 x * K(y,z) != u | x / K(z,y) = u. [para(16(a,1),6499(a,1,1)),flip(b)]. given #5948 (H,wt=14): 6709 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5990(a,2),6558(a,1))]. given #5949 (H,wt=14): 6713 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(6555(a,1),6668(a,1))]. given #5950 (H,wt=15): 6432 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4958(a,2),6421(a,1,2)),flip(a)]. given #5951 (H,wt=15): 6442 T(x,y) * (T(y,x) * z) = x * (y * z). [para(6425(a,1),5747(a,1,2)),flip(a)]. given #5952 (H,wt=15): 6445 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(2090,a,6427,a)]. given #5953 (H,wt=15): 6446 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(17,a,5801,a(flip),b,6427,a)]. given #5954 (H,wt=15): 6458 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(227,a,5209,a,b,6443,a)]. given #5955 (H,wt=15): 6461 K(x,y \ x) * ((1 / y) * x) = x / y. [hyper(227,a,5373,a(flip),b,6443,a(flip))]. given #5956 (H,wt=13): 6721 K(x,y) * ((1 / x) * y) = y / x. [para(5199(a,1),6461(a,1,1))]. given #5957 (H,wt=15): 6465 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(6443(a,1),313(a,1,2))]. given #5958 (H,wt=15): 6477 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6443(a,1),5129(a,1,1))]. given #5959 (H,wt=15): 6478 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(6443(a,2),5130(a,1,1))]. given #5960 (H,wt=15): 6479 K(x,y \ 1) \ z = K(y,x \ 1) * z. [para(5378(a,1),6443(a,1,1))]. given #5961 (H,wt=15): 6486 K(x,y) * (K(y,z) * T(y,x)) = T(y,z). [hyper(17,a,6186,a,b,6444,a)]. given #5962 (H,wt=15): 6487 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(17,a,6066,a,b,6444,a)]. given #5963 (H,wt=15): 6489 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,3070,a(flip),b,6444,a)]. given #5964 (H,wt=15): 6495 K(x,y) / (1 / z) = (z \ K(y,x)) \ 1. [hyper(73,a,6454,a(flip),b,1625,a)]. given #5965 (H,wt=15): 6505 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5902(a,2),6454(a,1,1))]. given #5966 (H,wt=15): 6507 x / (y * T(y \ x,z)) = K(z,x / y). [para(5789(a,1),6455(a,1,2))]. given #5967 (H,wt=15): 6510 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(166,a,6496,a,b,6444,a)]. given #5968 (H,wt=15): 6513 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(18,a,5130,a,b,6496,a)]. given #5969 (H,wt=13): 6732 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(18,a,5008,a,b,6513,a),flip(a)]. given #5970 (H,wt=11): 6733 K(K(x,y),z) = K(z,K(y,x)). [hyper(17,a,4996,a(flip),b,6732,a)]. given #5971 (H,wt=13): 6735 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5098,a,6733,a)]. given #5972 (H,wt=14): 6734 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6732(a,1),5153(a,1,1))]. given #5973 (H,wt=14): 6738 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6735(a,1),5096(a,1))]. given #5974 (H,wt=14): 6739 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(3069(a,1),6734(a,1,1)),flip(b)]. given #5975 (H,wt=14): 6740 T(K(x,y),K(y,z)) != u | K(x,y) = u. [para(5204(a,1),6734(a,1,1)),flip(b)]. given #5976 (H,wt=14): 6741 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(5207(a,1),6734(a,1,1)),flip(b)]. given #5977 (H,wt=15): 6525 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(227,a,5129,a,b,6497,a),flip(a)]. given #5978 (H,wt=15): 6545 (x * x) * K(y,z) = x * (x * K(y,z)). [para(6537(a,1),100(a,1,2))]. given #5979 (H,wt=15): 6556 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [hyper(5446,a,6462,a)]. given #5980 (H,wt=15): 6561 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(227,a,5430,a,b,6555,a),flip(a)]. given #5981 (H,wt=15): 6567 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,6555,a)]. given #5982 (H,wt=15): 6568 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(227,a,6230,a,b,6555,a(flip)),flip(a)]. given #5983 (H,wt=15): 6569 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [hyper(227,a,6118,a,b,6555,a(flip)),flip(a)]. given #5984 (H,wt=15): 6571 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),6555(a,1,2))]. given #5985 (H,wt=15): 6580 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(6555(a,2),5996(a,1,1))]. given #5986 (H,wt=15): 6582 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(6555(a,2),6555(a,1,2))]. given #5987 (H,wt=15): 6583 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(21,a,6559,a)]. given #5988 (H,wt=15): 6584 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(227,a,6454,a,b,6559,a(flip)),flip(a)]. given #5989 (H,wt=15): 6587 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(72,a,6559,a(flip),b,4954,a(flip)),flip(a)]. given #5990 (H,wt=15): 6588 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),6559(a,2,2))]. given #5991 (H,wt=15): 6593 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(132(a,1),6559(a,2,2))]. given #5992 (H,wt=15): 6598 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(6559(a,1),5057(a,1,1))]. given #5993 (H,wt=15): 6601 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(6559(a,1),6443(a,1,1))]. given #5994 (H,wt=15): 6602 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(6559(a,1),6497(a,1,2))]. given #5995 (H,wt=15): 6619 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(72,a,6508,a,b,6419,a)]. given #5996 (H,wt=15): 6626 K(x,y) * (x \ y) = (x \ y) * K(x,y). [para(5122(a,1),6508(a,1,2)),flip(a)]. given #5997 (H,wt=15): 6629 (x / T(y,z)) / T(z,y) = (x / y) / z. [hyper(73,a,6511,a(flip),b,5949,a)]. given #5998 (H,wt=15): 6632 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(1651,a,6512,a),flip(a)]. given #5999 (H,wt=15): 6634 (K(x,y) * K(y,z)) * T(y,x) = T(y,z). [hyper(18,a,6077,a(flip),b,6512,a)]. given #6000 (H,wt=15): 6638 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6512(a,1),6007(a,1,1)),flip(a)]. given #6001 (H,wt=15): 6639 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). [hyper(166,a,6514,a,b,659,a),flip(a)]. given #6002 (H,wt=15): 6641 1 / (K(x,y) / z) = (z \ 1) \ K(y,x). [hyper(227,a,5132,a(flip),b,6514,a(flip)),flip(a)]. given #6003 (H,wt=15): 6665 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(6566(a,1),5004(a,2,1))]. given #6004 (H,wt=13): 6761 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(227,a,5004,a,b,6665,a)]. given #6005 (H,wt=15): 6667 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(115(a,1),6574(a,1,2,2)),flip(a)]. given #6006 (H,wt=15): 6670 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(6273,a,6590,a),flip(a)]. given #6007 (H,wt=15): 6671 K(x / T(y,z),y) = K(T(y,z) \ x,y). [para(186(a,1),6590(a,1,2))]. given #6008 (H,wt=15): 6683 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(227,a,6213,a(flip),b,6650,a)]. given #6009 (H,wt=15): 6686 (x \ T(y,z)) * y = (x \ y) * T(y,z). [para(6653(a,1),6007(a,1,1))]. given #6010 (H,wt=15): 6689 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(6658(a,1),4996(a,2,2))]. given #6011 (H,wt=13): 6766 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(227,a,4996,a,b,6689,a)]. given #6012 (H,wt=15): 6716 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(227,a,3070,a,b,6432,a)]. given #6013 (H,wt=15): 6724 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [hyper(227,a,6555,a(flip),b,6487,a)]. given #6014 (H,wt=15): 6747 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(6555(a,1),6571(a,2,1))]. given #6015 (H,wt=15): 6748 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(227,a,6186,a,b,6580,a(flip)),flip(a)]. given #6016 (H,wt=15): 6751 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(6668,a,6588,a)]. given #6017 (H,wt=15): 6754 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(6066(a,1),6634(a,1,1))]. given #6018 (H,wt=16): 6438 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(6424(a,1),1981(a,1))]. given #6019 (H,wt=16): 6440 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(6425(a,1),282(a,1,2)),flip(b)]. given #6020 (H,wt=16): 6466 K(x,y) \ z != z * u | T(K(y,x),z) = u. [para(6443(a,2),167(a,2)),flip(a)]. given #6021 (H,wt=16): 6480 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(6443(a,1),5127(a,1))]. given #6022 (H,wt=16): 6484 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(6443(a,1),5809(a,1))]. given #6023 (H,wt=16): 6546 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(6537(a,1),1350(a,1,2))]. given #6024 (H,wt=16): 6548 L(K(x,y),z \ 1,z) = u \ (u * K(x,y)). [hyper(227,a,13,a,b,6539,a)]. given #6025 (H,wt=15): 6775 L(K(x,y),z \ 1,z) != u | K(x,y) = u. [para(6548(a,2),282(a,1)),flip(b)]. given #6026 (H,wt=16): 6550 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(6540(a,1),594(a,1,2))]. given #6027 (H,wt=16): 6572 x * K(y,T(z,x)) != u * x | K(y,z) = u. [para(6555(a,2),169(a,1,2)),flip(b)]. given #6028 (H,wt=16): 6577 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(6555(a,1),5001(a,1,2))]. given #6029 (H,wt=16): 6581 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(6555(a,2),6313(a,1))]. given #6030 (H,wt=16): 6596 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(6559(a,2),5001(a,1,2))]. given #6031 (H,wt=16): 6616 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6504(a,1),205(a,1,2)),flip(b)]. given #6032 (H,wt=16): 6622 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(6508(a,1),19(a,1))]. given #6033 (H,wt=16): 6675 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(6590(a,2),6161(a,1))]. given #6034 (H,wt=16): 6678 x * K(y,z) != u * z | x / T(z,y) = u. [para(6633(a,1),20(a,1))]. given #6035 (H,wt=16): 6697 (K(x,y) \ 1) \ z != u | K(x,y) * z = u. [para(5084(a,2),6491(a,1,1))]. given #6036 (H,wt=16): 6702 x * K(y,y \ x) != z | y * (x / y) = z. [para(5300(a,1),6499(a,1,1)),flip(b)]. given #6037 (H,wt=16): 6704 (x / (x / y)) \ y != z | K(y,y \ x) = z. [para(4980(a,2),6517(a,1,1))]. given #6038 (H,wt=16): 6710 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(6562(a,2),6558(a,1))]. given #6039 (H,wt=16): 6712 K((x \ y) \ y,z) != u | T(K(x,z),y) = u. [para(6560(a,2),6615(a,1))]. given #6040 (H,wt=16): 6714 (K(x,y) \ 1) * z != u | K(x,y) \ z = u. [para(5084(a,2),6693(a,1,1))]. given #6041 (H,wt=16): 6715 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(6586(a,2),6709(a,1))]. given #6042 (H,wt=16): 6736 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6733(a,1),5096(a,1,1))]. given #6043 (H,wt=14): 6787 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5084(a,1),6736(a,1))]. given #6044 (H,wt=16): 6743 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(264(a,1),6561(a,1,1,1)),flip(a)]. given #6045 (H,wt=16): 6753 x / R(y,y \ x,y) = K(y,x) * (y \ x). [hyper(227,a,6080,a,b,6626,a),flip(a)]. given #6046 (H,wt=16): 6767 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(6689(a,2),5001(a,1))]. given #6047 (H,wt=16): 6773 K(x,y) * z != u | T(y,x) \ (y * z) = u. [para(13(a,1),6484(a,1,2))]. given #6048 (H,wt=16): 6782 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(14(a,1),6675(a,1,1,1))]. given #6049 (H,wt=14): 6790 K(x / y,y) != z | K(y \ x,y) = z. [para(112(a,1),6782(a,1,2))]. given #6050 (H,wt=16): 6783 K(T(x,x \ y),z) != u | T(K(x,z),y) = u. [para(114(a,2),6712(a,1,1))]. given #6051 (H,wt=16): 6788 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(227,a,6401,a,b,6753,a)]. given #6052 (H,wt=16): 6793 T(K(x,y),x \ z) != u | T(K(x,y),z) = u. [para(5990(a,1),6783(a,1))]. given #6053 (H,wt=17): 6422 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(227,a,5209,a,b,6419,a)]. given #6054 (H,wt=17): 6430 ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). [hyper(227,a,740,a(flip),b,6421,a),flip(a)]. given #6055 (H,wt=17): 6433 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(5086(a,1),6421(a,1,1))]. given #6056 (H,wt=17): 6453 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(5110,a,6443,a)]. given #6057 (H,wt=17): 6483 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(6443(a,1),5934(a,1,2,1))]. given #6058 (H,wt=17): 6534 K(x,y) * ((1 / z) * u) = K(x,y) / (u \ z). [para(250(a,1),6451(a,1,2)),flip(a)]. given #6059 (H,wt=17): 6542 (x \ (y \ 1)) * K(z,u) = (y * x) \ K(z,u). [hyper(72,a,6537,a(flip),b,1396,a),flip(a)]. given #6060 (H,wt=17): 6544 ((1 / x) * y) \ K(z,u) = (y \ x) * K(z,u). [hyper(72,a,6537,a(flip),b,1398,a(flip))]. given #6061 (H,wt=17): 6589 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),6559(a,1,1))]. given #6062 (H,wt=17): 6600 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(6559(a,1),6421(a,1,1))]. given #6063 (H,wt=17): 6606 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(42(a,2),6564(a,1,2))]. given #6064 (H,wt=17): 6607 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(115(a,1),6565(a,1,2)),flip(a)]. given #6065 (H,wt=17): 6614 ((x * K(y,z)) \ 1) \ 1 = (x \ 1) \ K(y,z). [para(48(a,1),6493(a,1,1)),flip(a)]. given #6066 (H,wt=17): 6620 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [hyper(21,a,6508,a)]. given #6067 (H,wt=17): 6627 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(6555(a,2),6508(a,1,2,2))]. given #6068 (H,wt=17): 6628 x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). [hyper(227,a,5853,a(flip),b,6511,a(flip)),flip(a)]. given #6069 (H,wt=17): 6672 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(132(a,1),6590(a,1,2))]. given #6070 (H,wt=17): 6673 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(6590(a,1),5004(a,2,1)),flip(a)]. given #6071 (H,wt=17): 6682 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(6559(a,1),6649(a,1,1,2))]. given #6072 (H,wt=17): 6690 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6042(a,1),6658(a,1,2))]. given #6073 (H,wt=17): 6719 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(5110,a,6458,a)]. given #6074 (H,wt=17): 6763 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [para(6024(a,2),6667(a,1,2))]. given #6075 (H,wt=17): 6794 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(2531(a,1),6788(a,1,2))]. given #6076 (H,wt=17): 6795 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(227,a,5151,a,b,6422,a(flip)),flip(a)]. given #6077 (H,wt=17): 6798 K(x,y) * (T(z,u) / u) = K(x,y) / (z \ u). [hyper(227,a,651,a,b,6534,a(flip)),flip(a)]. given #6078 (H,wt=17): 6806 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(6794(a,1),65(a,1,1))]. given #6079 (H,wt=17): 6808 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5351(a,1),6806(a,1,1))]. given #6080 (H,wt=17): 6809 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4977(a,2),6808(a,1,1,2))]. given #6081 (H,wt=18): 5759 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5754(a,1),209(a,1,2))]. given #6082 (H,wt=18): 6070 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6002(a,1),408(a,1,1))]. given #6083 (H,wt=18): 6083 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(6007(a,1),283(a,1,2))]. given #6084 (H,wt=18): 6103 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6094(a,1),45(a,1,1)),flip(a)]. given #6085 (H,wt=18): 6138 T(T(x,y \ z),z \ y) = L(x,y \ z,y \ z). [hyper(1136,a,6040,a),flip(a)]. given #6086 (H,wt=18): 6143 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6040(a,1),416(a,1))]. given #6087 (H,wt=18): 6149 T(x \ 1,x * y) != z | ((x \ 1) \ y) \ y = z. [para(6044(a,1),416(a,1))]. given #6088 (H,wt=18): 6172 K((x \ y) \ (x \ 1),z) != u | K(y \ 1,z) = u. [para(124(a,1),6161(a,1,1,2))]. given #6089 (H,wt=18): 6174 K((x * y) \ 1,z) != u | K(y \ (x \ 1),z) = u. [para(248(a,1),6161(a,1,1,2))]. given #6090 (H,wt=18): 6183 K(x,y) * z != x * u | K(x,y) * (x \ z) = u. [para(5814(a,1),19(a,1))]. given #6091 (H,wt=18): 6187 K(x,y) * (x * z) != x * u | K(x,y) * z = u. [para(5824(a,2),19(a,1))]. given #6092 (H,wt=18): 6189 ((x * y) / x) * z != y * u | K(x,y) * z = u. [para(5853(a,2),19(a,1))]. given #6093 (H,wt=18): 6196 ((x * y) / x) * (y \ z) != u | K(x,y) * z = u. [para(5862(a,1),308(a,1))]. given #6094 (H,wt=18): 6208 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5902(a,2),282(a,1,2)),flip(b)]. given #6095 (H,wt=18): 6217 K(x,y) != (1 / z) * u | (x / z) \ T(x,y) = u. [para(5986(a,1),19(a,1))]. given #6096 (H,wt=18): 6229 K(x,K(y,z)) != K(y,z) * u | K(z,T(y,x)) = u. [para(6066(a,1),19(a,1))]. given #6097 (H,wt=18): 6242 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(6186(a,1),19(a,1))]. given #6098 (H,wt=18): 6247 K(x,y) * (y * z) != y * u | K(x,y) * z = u. [para(6193(a,2),19(a,1))]. given #6099 (H,wt=18): 6249 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(6193(a,1),308(a,1))]. given #6100 (H,wt=18): 6275 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(5939(a,1),4996(a,2,2))]. given #6101 (H,wt=16): 6817 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(227,a,4996,a,b,6275,a)]. given #6102 (H,wt=18): 6285 T(x,(y * z) / y) != u | T(x,y / (y / z)) = u. [para(1270(a,1),6123(a,1,2))]. given #6103 (H,wt=18): 6299 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),6182(a,1,2))]. given #6104 (H,wt=18): 6306 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),6266(a,1,1,1)),flip(a)]. given #6105 (H,wt=18): 6323 K(x,(y * z) \ z) != u | K(x,z \ (y \ z)) = u. [para(1190(a,1),6317(a,1,2))]. given #6106 (H,wt=18): 6328 K(x,y / z) != u | K(x,(y \ 1) \ (z \ 1)) = u. [para(6024(a,1),6322(a,1))]. given #6107 (H,wt=18): 6329 K(x / (x \ y),z) != u | K((y / x) \ x,z) = u. [para(1224(a,1),6325(a,1,1))]. given #6108 (H,wt=18): 6351 x * K(y,z \ x) != u * x | K(y,x / z) = u. [para(6348(a,1),20(a,1))]. given #6109 (H,wt=18): 6360 T(T(x,y / z),z / y) = L(x,z / y,z / y). [hyper(166,a,6157,a,b,1368,a)]. given #6110 (H,wt=18): 6378 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(6231(a,2),6376(a,1))]. given #6111 (H,wt=18): 6383 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(2550,a,6251,a),flip(a)]. given #6112 (H,wt=15): 6819 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(863,a,6383,a),flip(a)]. given #6113 (H,wt=18): 6408 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(6407(a,1),281(a,1,1)),flip(b)]. given #6114 (H,wt=18): 6416 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(6402(a,2),5827(a,1))]. given #6115 (H,wt=18): 6470 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(6443(a,1),307(a,1))]. given #6116 (H,wt=18): 6481 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6443(a,1),5131(a,1,1))]. given #6117 (H,wt=18): 6501 (x * K(y,z)) * K(z,y) != u * w | x / w = u. [para(6454(a,1),276(a,1,2))]. given #6118 (H,wt=18): 6518 K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. [para(6496(a,1),167(a,2))]. given #6119 (H,wt=18): 6520 (x * K(y,z)) \ x != u * w | K(z,y) / w = u. [para(6496(a,1),458(a,1,2))]. given #6120 (H,wt=18): 6597 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. [para(6559(a,1),5137(a,1,2,2))]. given #6121 (H,wt=18): 6610 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(227,a,5426,a,b,6605,a(flip)),flip(a)]. given #6122 (H,wt=18): 6679 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(6633(a,1),283(a,1,2))]. given #6123 (H,wt=18): 6696 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(32(a,2),6491(a,1))]. given #6124 (H,wt=18): 6699 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(6559(a,1),6491(a,1,1))]. given #6125 (H,wt=18): 6700 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(6559(a,1),6498(a,1,2))]. given #6126 (H,wt=18): 6703 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(6559(a,1),6500(a,1,2))]. given #6127 (H,wt=18): 6707 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(5902(a,2),6517(a,1,1))]. given #6128 (H,wt=18): 6708 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(6559(a,1),6517(a,1,1,2))]. given #6129 (H,wt=18): 6723 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(6486(a,1),6463(a,1,2)),flip(b)]. given #6130 (H,wt=18): 6725 K(x,y) != K(x,z) * u | K(x,y) * K(z,x) = u. [para(6489(a,1),19(a,1))]. given #6131 (H,wt=18): 6744 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(6568(a,1),6499(a,1,1)),flip(b)]. given #6132 (H,wt=18): 6746 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(6569(a,2),6558(a,1))]. given #6133 (H,wt=18): 6771 T(T(x,y),z) != K(x,y) * u | T(x,T(z,y)) = u. [para(6748(a,1),19(a,1))]. given #6134 (H,wt=18): 6772 T(x,T(y,z)) != u * T(x,y) | K(z,K(y,x)) = u. [para(6754(a,1),20(a,1))]. given #6135 (H,wt=18): 6774 K(x,y) * K(y,z) != u | T(y,x) \ T(y,z) = u. [para(4958(a,2),6484(a,1,2))]. given #6136 (H,wt=18): 6784 K(T(x \ 1,y) \ 1,z) != u | T(K(x,z),y) = u. [para(787(a,2),6712(a,1,1))]. given #6137 (H,wt=18): 6810 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4977(a,2),5759(a,1,1))]. given #6138 (H,wt=18): 6811 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(5861(a,1),5759(a,1))]. given #6139 (H,wt=18): 6821 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(14(a,1),6470(a,1,2))]. given #6140 (H,wt=18): 6828 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(6443(a,1),6699(a,1))]. given #6141 (H,wt=18): 6829 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6497(a,1),6703(a,1))]. given #6142 (H,wt=18): 6831 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(5823(a,1),6723(a,1))]. given #6143 (H,wt=18): 6832 K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. [para(655(a,1),6746(a,1,2))]. given #6144 (H,wt=18): 6833 K(x,y) * K(z,x) != u | T(x,z) \ T(x,y) = u. [para(3070(a,2),6774(a,1))]. given #6145 (H,wt=18): 6835 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(5990(a,1),6828(a,1,1))]. given #6146 (H,wt=18): 6836 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(5990(a,1),6829(a,1,2))]. given #6147 (H,wt=19): 5815 (x * y) / ((x * y) * x) = K(y,x \ y) * (x \ 1). [hyper(227,a,2568,a,b,5791,a(flip)),flip(a)]. given #6148 (H,wt=17): 6837 (x * y) / ((x * y) * x) = K(x,y) * (x \ 1). [para(5199(a,1),5815(a,2,1))]. given #6149 (H,wt=18): 6838 (x * y) / ((x * y) * x) != z | x \ K(x,y) = z. [para(6837(a,2),3026(a,1))]. given #6150 (H,wt=19): 5834 K(x \ 1,y) * ((1 / x) * z) = T(1 / x,y) * z. [para(4018(a,1),5795(a,1,1))]. given #6151 (H,wt=19): 5845 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5844(a,1),500(a,1,1,1)),flip(a)]. given #6152 (H,wt=19): 5892 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(227,a,3526,a(flip),b,5877,a)]. given #6153 (H,wt=19): 5905 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5877(a,1),5624(a,1,1)),flip(a)]. given #6154 (H,wt=19): 5913 ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z). [para(5890(a,1),4996(a,2,2)),flip(a)]. given #6155 (H,wt=19): 5923 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5914(a,1),592(a,1,2,1))]. given #6156 (H,wt=19): 5940 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(5933(a,1),100(a,1,2))]. given #6157 (H,wt=17): 6840 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(3027(a,1),5940(a,2,2))]. given #6158 (H,wt=19): 5944 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(5907(a,1),4805(a,1,2))]. given #6159 (H,wt=17): 6842 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(6678,a,5944,a)]. given #6160 (H,wt=19): 5978 K(x,((y / z) * u) \ y) = K(x,y \ ((u / y) \ z)). [para(1592(a,1),5934(a,1,2)),flip(a)]. given #6161 (H,wt=19): 5983 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(5934(a,1),5578(a,1,1)),flip(a)]. given #6162 (H,wt=19): 5985 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(5984(a,1),491(a,1,1))]. given #6163 (H,wt=19): 6062 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(72,a,6059,a(flip),b,5683,a),flip(a)]. given #6164 (H,wt=19): 6072 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [para(4934(a,1),6003(a,1,1))]. given #6165 (H,wt=19): 6109 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(227,a,5668,a,b,6016,a(flip)),flip(a)]. given #6166 (H,wt=19): 6111 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(6016(a,1),5578(a,1,1)),flip(a)]. given #6167 (H,wt=19): 6133 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(2225(a,1),6038(a,1,2))]. given #6168 (H,wt=19): 6153 K(1 / x,(1 / (1 / x)) * y) = K(1 / x,y * x). [hyper(227,a,6025,a(flip),b,6105,a)]. given #6169 (H,wt=19): 6158 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(408,a,6140,a),flip(a)]. given #6170 (H,wt=19): 6188 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(227,a,5802,a(flip),b,5853,a(flip))]. given #6171 (H,wt=16): 6849 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5787(a,1),6188(a,1,2))]. given #6172 (H,wt=19): 6206 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [para(2643(a,1),5894(a,1,2))]. given #6173 (H,wt=19): 6267 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5787(a,1),3072(a,1))]. given #6174 (H,wt=19): 6270 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5424(a,1),5799(a,1,2))]. given #6175 (H,wt=19): 6342 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5795(a,1),5855(a,1,2))]. given #6176 (H,wt=19): 6347 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(227,a,4036,a(flip),b,5981,a),flip(a)]. given #6177 (H,wt=19): 6426 (x * x) \ (K(y,x) * z) = (1 / x) * (T(x,y) \ z). [para(6419(a,1),1014(a,1,2))]. given #6178 (H,wt=19): 6488 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(17,a,5724,a,b,6444,a)]. given #6179 (H,wt=19): 6506 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(6455(a,1),2502(a,1,2,2))]. given #6180 (H,wt=19): 6547 x / (K(y,z) \ (u \ x)) = x * ((x \ u) * K(y,z)). [para(6537(a,1),2145(a,1,2,2)),flip(a)]. given #6181 (H,wt=19): 6549 K(x,x \ 1) * K(y,z) = x * ((1 / x) * K(y,z)). [para(6539(a,1),3945(a,1,2))]. given #6182 (H,wt=19): 6551 (1 / x) \ L(K(y,z),u,w) = x * L(K(y,z),u,w). [para(6540(a,1),592(a,1,2,1))]. given #6183 (H,wt=19): 6608 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(1201(a,1),6565(a,1,2)),flip(a)]. given #6184 (H,wt=19): 6647 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6515(a,1),5949(a,1,1))]. given #6185 (H,wt=19): 6655 x \ ((x * K(y,z)) * u) = (K(y,z) * (u / x)) * x. [para(6543(a,1),918(a,1,2,1))]. given #6186 (H,wt=19): 6680 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [para(4934(a,1),6633(a,1,1)),flip(a)]. given #6187 (H,wt=15): 6854 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(17,a,5944,a,b,6680,a),flip(a)]. given #6188 (H,wt=15): 6855 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(6172,a,6854,a),flip(a)]. given #6189 (H,wt=19): 6684 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [para(135(a,1),6650(a,1,1))]. given #6190 (H,wt=19): 6688 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),6658(a,1,2))]. given #6191 (H,wt=19): 6718 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(1762(a,1),6445(a,1,2))]. given #6192 (H,wt=19): 6727 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(2574(a,1),6505(a,1,1))]. given #6193 (H,wt=19): 6730 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(2574(a,1),6507(a,1,2))]. given #6194 (H,wt=19): 6731 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(2643(a,1),6507(a,1,2))]. given #6195 (H,wt=19): 6737 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6733(a,1),5795(a,1,1))]. given #6196 (H,wt=19): 6742 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(4851(a,1),6556(a,1,2,2))]. given #6197 (H,wt=15): 6861 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(227,a,6556,a(flip),b,6742,a(flip))]. given #6198 (H,wt=19): 6749 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [hyper(420,a,6583,a(flip),b,6633,a),flip(a)]. given #6199 (H,wt=15): 6863 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(227,a,6619,a(flip),b,6749,a(flip))]. given #6200 (H,wt=19): 6762 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4978(a,1),6761(a,1,2,2,1))]. given #6201 (H,wt=19): 6764 (x \ y) * (z / (T(y,u) \ z)) = (x \ T(y,u)) * y. [para(62(a,2),6686(a,2,2)),flip(a)]. given #6202 (H,wt=19): 6805 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(227,a,6116,a(flip),b,6690,a(flip))]. given #6203 (H,wt=19): 6841 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(18,a,3333,a,b,6840,a)]. given #6204 (H,wt=12): 6865 R(K(x,y),z,x \ 1) = K(x,y). [hyper(495,a,6841,a)]. given #6205 (H,wt=12): 6866 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(464,a,6841,a)]. given #6206 (H,wt=19): 6844 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(6842(a,1),6003(a,1,1))]. given #6207 (H,wt=15): 6872 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [hyper(17,a,6072,a,b,6844,a)]. given #6208 (H,wt=17): 6873 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(227,a,6254,a,b,6872,a),flip(a)]. given #6209 (H,wt=19): 6850 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(6444(a,1),6488(a,1,2,2)),flip(a)]. given #6210 (H,wt=19): 6851 x / (K(y,z) * (u \ x)) = x * ((x \ u) * K(z,y)). [para(6443(a,1),6547(a,1,2))]. given #6211 (H,wt=19): 6852 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [hyper(1421,a,6551,a)]. given #6212 (H,wt=17): 6880 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5630(a,1),6852(a,1,1))]. given #6213 (H,wt=17): 6882 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(1102,a,6880,a)]. given #6214 (H,wt=17): 6883 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(282,a,6880,a)]. given #6215 (H,wt=17): 6884 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(6882(a,1),62(a,1,2))]. given #6216 (H,wt=18): 6881 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [hyper(2860,a,6880,a)]. given #6217 (H,wt=18): 6888 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(295,a,6884,a),flip(a)]. given #6218 (H,wt=19): 6856 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(6855(a,1),5022(a,2,2,2))]. given #6219 (H,wt=15): 6892 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(227,a,5022,a,b,6856,a)]. given #6220 (H,wt=15): 6893 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(13(a,1),6892(a,1,2,2,1)),flip(a)]. given #6221 (H,wt=15): 6895 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [para(123(a,1),6893(a,1,2))]. given #6222 (H,wt=17): 6896 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(6126,a,6895,a),flip(a)]. given #6223 (H,wt=19): 6857 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(6684(a,1),14(a,1,2))]. given #6224 (H,wt=19): 6858 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),6688(a,2,2))]. given #6225 (H,wt=19): 6859 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [hyper(6835,a,6737,a(flip)),flip(a)]. given #6226 (H,wt=19): 6862 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6861(a,2),5181(a,1,1))]. given #6227 (H,wt=15): 6900 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6744,a,6862,a),flip(a)]. given #6228 (H,wt=15): 6901 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6787,a,6900,a),flip(a)]. given #6229 (H,wt=13): 6902 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(227,a,6374,a(flip),b,6901,a)]. given #6230 (H,wt=19): 6868 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(166,a,6841,a,b,5651,a)]. given #6231 (H,wt=19): 6876 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(6444(a,1),6850(a,2,2))]. given #6232 (H,wt=19): 6877 (x * y) / (K(z,u) * y) = y * ((y \ x) * K(u,z)). [hyper(227,a,1182,a,b,6851,a(flip)),flip(a)]. given #6233 (H,wt=19): 6899 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),6858(a,1,2,1,2)),flip(a)]. given #6234 (H,wt=19): 6904 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(6490,a,6876,a)]. given #6235 (H,wt=20): 5821 T(x,y) * (x \ z) != u * w | u \ (K(x,y) * z) = w. [para(5791(a,2),457(a,1))]. given #6236 (H,wt=20): 5828 K(x,y) * (x * z) != u * w | u \ (T(x,y) * z) = w. [para(5795(a,2),457(a,1))]. given #6237 (H,wt=20): 5858 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(5857(a,1),5642(a,1,1)),flip(a)]. given #6238 (H,wt=18): 6908 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6294,a,5858,a)]. given #6239 (H,wt=15): 6911 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(107(a,2),6908(a,1,1))]. given #6240 (H,wt=10): 6913 R(K(x,y),z,x) = K(x,y). [hyper(227,a,6057,a(flip),b,6911,a(flip))]. given #6241 (H,wt=12): 6912 K(R(x,x \ 1,y),z) = K(x,z). [hyper(227,a,367,a(flip),b,6911,a)]. given #6242 (H,wt=15): 6914 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6911(a,1,1,2)),flip(a)]. given #6243 (H,wt=15): 6918 (K(x,y) * z) * x = K(x,y) * (z * x). [para(6913(a,1),109(a,1,1)),flip(a)]. given #6244 (H,wt=8): 6924 L(x,y,K(x,z)) = x. [hyper(464,a,6918,a)]. given #6245 (H,wt=8): 6934 L(x,y,K(z,x)) = x. [para(5199(a,1),6924(a,1,3))]. given #6246 (H,wt=14): 6930 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(6924(a,1),45(a,1,1)),flip(a)]. given #6247 (H,wt=14): 6935 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(6934(a,1),45(a,1,1)),flip(a)]. given #6248 (H,wt=15): 6925 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(227,a,5790,a(flip),b,6918,a)]. given #6249 (H,wt=15): 6936 (K(x,y) * z) * y = K(x,y) * (z * y). [para(6934(a,1),100(a,1,2))]. given #6250 (H,wt=15): 6937 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(166,a,6925,a,b,5747,a)]. given #6251 (H,wt=15): 6942 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(5660,a,6937,a),flip(a)]. given #6252 (H,wt=15): 6943 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(14(a,1),6937(a,1,1)),flip(a)]. given #6253 (H,wt=15): 6947 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(853,a,6943,a),flip(a)]. given #6254 (H,wt=15): 6949 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6070,a,6947,a)]. given #6255 (H,wt=17): 6920 K(R(x,x \ 1,y),L(z,u,u \ 1)) = K(x,z). [hyper(227,a,6028,a(flip),b,6912,a)]. given #6256 (H,wt=17): 6939 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5788(a,1),6925(a,1,1)),flip(a)]. given #6257 (H,wt=15): 6953 K(T(x,y) \ z,x) = z \ ((x \ z) * x). [hyper(72,a,6939,a(flip),b,5902,a(flip)),flip(a)]. given #6258 (H,wt=13): 6955 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(227,a,93,a(flip),b,6953,a)]. given #6259 (H,wt=13): 6956 K(x / T(y,z),y) = K(y \ x,y). [hyper(227,a,6671,a,b,6955,a(flip)),flip(a)]. given #6260 (H,wt=13): 6960 K(x \ (y * T(x,z)),x) = K(y,x). [para(15(a,1),6956(a,1,1)),flip(a)]. given #6261 (H,wt=13): 6961 K((x / y) * T(y,z),y) = K(x,y). [hyper(227,a,5093,a(flip),b,6960,a(flip)),flip(a)]. given #6262 (H,wt=11): 6964 K(x * K(y,z),y) = K(x,y). [para(5949(a,1),6961(a,1,1))]. given #6263 (H,wt=11): 6965 K(x * K(y,z),z) = K(x,z). [para(5199(a,1),6964(a,1,1,2))]. given #6264 (H,wt=11): 6970 K(K(x,y) * z,x) = K(z,x). [para(6508(a,1),6964(a,1,1))]. given #6265 (H,wt=11): 6971 K(K(x,y) * z,y) = K(z,y). [para(6509(a,1),6964(a,1,1)),flip(a)]. given #6266 (H,wt=11): 6979 K(K(x,y) \ z,x) = K(z,x). [para(6457(a,1),6965(a,1,1))]. given #6267 (H,wt=13): 6963 K(x * T(y,z),y) = K(x * y,y). [para(15(a,1),6961(a,1,1,1))]. given #6268 (H,wt=13): 6972 K(x * T(y,z),z) = K(x * y,z). [para(6512(a,1),6964(a,1,1)),flip(a)]. given #6269 (H,wt=13): 6973 K(x \ K(y,z),y) = K(x \ 1,y). [para(6514(a,1),6964(a,1,1))]. given #6270 (H,wt=13): 6974 K(x \ T(y,z),y) = K(x \ y,y). [para(6653(a,1),6964(a,1,1))]. given #6271 (H,wt=11): 6997 K(x \ T(y,z),y) = K(y,x). [hyper(227,a,5211,a(flip),b,6974,a)]. given #6272 (H,wt=13): 6976 K(x * K(y,z),z) = 1 / K(z,x). [hyper(227,a,5101,a,b,6965,a)]. given #6273 (H,wt=13): 6980 K(x * K(y,T(z,u)),z) = K(x,z). [para(6559(a,1),6965(a,1,1,2))]. given #6274 (H,wt=13): 6987 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(6754(a,1),6970(a,1,1))]. given #6275 (H,wt=13): 6992 K(x * T(y,z),y) = K(y * x,y). [hyper(227,a,5301,a(flip),b,6963,a)]. given #6276 (H,wt=13): 7000 K(x \ y,T(y,z)) = K(T(y,z),x). [para(2496(a,1),6997(a,1,1,2))]. given #6277 (H,wt=13): 7005 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),6992(a,1,1)),flip(a)]. given #6278 (H,wt=13): 7007 K(x \ y,T(y,z)) = K(y,T(x,z)). [hyper(227,a,6559,a(flip),b,7000,a)]. given #6279 (H,wt=14): 6978 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5625(a,1),6965(a,1,1,2))]. given #6280 (H,wt=14): 6984 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5579(a,1),6970(a,1,1,1))]. given #6281 (H,wt=14): 6991 K(K(x,y) * z,x) != u | K(z,x) = u. [para(6979(a,1),6161(a,1))]. given #6282 (H,wt=14): 7001 K(x * K(y,z),z) != u | K(x,z) = u. [para(6976(a,2),5107(a,1))]. given #6283 (H,wt=14): 7012 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6914(a,1),6984(a,1,1,1))]. given #6284 (H,wt=14): 7017 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(6457(a,1),7001(a,1,1))]. given #6285 (H,wt=15): 6981 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(6592(a,1),6965(a,1,1,2))]. given #6286 (H,wt=15): 6990 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(6592(a,1),6971(a,1,1,1))]. given #6287 (H,wt=15): 6999 K(x \ (y * K(z,y)),y) = K(x \ y,y). [para(5149(a,1),6974(a,1,1,2))]. given #6288 (H,wt=15): 7002 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(92(a,1),6980(a,1,1)),flip(a)]. given #6289 (H,wt=15): 7003 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5463(a,1),6980(a,1,1))]. given #6290 (H,wt=15): 7006 K(x * ((y * z) / y),z) = K(z * x,z). [para(2499(a,1),6992(a,1,1,2))]. given #6291 (H,wt=15): 7009 K(x * (y * K(z,u)),u) = K(x * y,u). [para(100(a,1),6978(a,1,1))]. given #6292 (H,wt=15): 7010 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6888(a,1),6978(a,1,1)),flip(a)]. given #6293 (H,wt=15): 7011 K((K(x,y) * z) * u,x) = K(z * u,x). [para(109(a,1),6984(a,1,1))]. given #6294 (H,wt=15): 7024 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5999(a,1),7009(a,1,1,2)),flip(a)]. given #6295 (H,wt=16): 6995 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5498(a,1),6973(a,1,1,2))]. given #6296 (H,wt=16): 7015 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(2420(a,1),7001(a,1,1))]. given #6297 (H,wt=16): 7019 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(6425(a,1),7012(a,1,1)),flip(a)]. given #6298 (H,wt=17): 6940 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(5791(a,2),6925(a,1,1))]. given #6299 (H,wt=17): 6946 K(x,y) * T(K(x,z) * y,x) = K(x,z) * y. [para(6937(a,2),5727(a,1,2))]. given #6300 (H,wt=11): 7031 K(x,K(x,y) * z) = K(x,z). [hyper(5018,a,6946,a)]. given #6301 (H,wt=11): 7032 K(x,K(x,y) \ z) = K(x,z). [para(14(a,1),7031(a,1,2)),flip(a)]. given #6302 (H,wt=11): 7033 K(x,K(y,x) * z) = K(x,z). [para(5199(a,1),7031(a,1,2,1))]. given #6303 (H,wt=11): 7037 K(x,K(y,x) \ z) = K(x,z). [para(6443(a,2),7031(a,1,2))]. given #6304 (H,wt=11): 7040 K(x,y * K(z,x)) = K(x,y). [para(6065(a,1),7033(a,1,2))]. given #6305 (H,wt=11): 7042 K(x,y * K(x,z)) = K(x,y). [para(5202(a,1),7040(a,1,2,2))]. given #6306 (H,wt=13): 7034 K(x,K(x \ 1,y) * z) = K(x,z). [para(5376(a,2),7031(a,1,2,1))]. given #6307 (H,wt=13): 7036 K(x,T(y,x) \ z) = K(x,y \ z). [para(6421(a,1),7031(a,1,2))]. given #6308 (H,wt=13): 7038 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6754(a,1),7031(a,1,2))]. given #6309 (H,wt=13): 7039 K(x,T(y,x) / z) = K(x,y / z). [para(5465(a,1),7033(a,1,2))]. given #6310 (H,wt=13): 7048 K(x,y \ T(x,z)) = K(x,y \ x). [para(6685(a,1),7040(a,1,2)),flip(a)]. given #6311 (H,wt=13): 7049 K(x,y * K(x,z)) = x \ T(x,y). [hyper(227,a,4958,a(flip),b,7042,a)]. given #6312 (H,wt=14): 7035 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(5579(a,1),7031(a,1,2,1))]. given #6313 (H,wt=14): 7058 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7049(a,2),5049(a,1))]. given #6314 (H,wt=14): 7060 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(6914(a,1),7035(a,1,2,1))]. given #6315 (H,wt=14): 7061 K(x,y * K(z,x)) != u | K(x,y) = u. [para(5199(a,1),7058(a,1,2,2))]. given #6316 (H,wt=14): 7062 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(5199(a,1),7060(a,1,2,1))]. given #6317 (H,wt=14): 7068 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(6065(a,1),7062(a,1,2))]. given #6318 (H,wt=15): 7045 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6261(a,1),7040(a,1,2))]. given #6319 (H,wt=15): 7051 T(x,K(x \ 1,y) * z) = x * K(x,z). [para(7034(a,1),4996(a,2,2))]. given #6320 (H,wt=13): 7069 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(227,a,4996,a,b,7051,a)]. given #6321 (H,wt=11): 7072 T(x,K(y,x) * z) = T(x,z). [para(5342(a,1),7069(a,1,2,1))]. given #6322 (H,wt=11): 7074 T(x,K(x,y) * z) = T(x,z). [para(5379(a,1),7069(a,1,2,1))]. given #6323 (H,wt=11): 7078 T(x,y * K(z,x)) = T(x,y). [para(6065(a,1),7072(a,1,2))]. given #6324 (H,wt=11): 7087 T(x,y * K(x,z)) = T(x,y). [para(5202(a,1),7078(a,1,2,2))]. given #6325 (H,wt=13): 7080 T(x,T(x,y) \ z) = T(x,x \ z). [para(6421(a,1),7072(a,1,2))]. given #6326 (H,wt=13): 7085 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(6754(a,1),7074(a,1,2))]. given #6327 (H,wt=13): 7086 T(x,y \ T(z,x)) = T(x,y \ z). [para(6718(a,1),7074(a,1,2)),flip(a)]. given #6328 (H,wt=13): 7088 T(x,y \ K(x,z)) = T(x,y \ 1). [para(5105(a,1),7078(a,1,2)),flip(a)]. given #6329 (H,wt=13): 7094 T(x,y * T(x,z)) = T(x,y * x). [para(6512(a,1),7078(a,1,2)),flip(a)]. given #6330 (H,wt=13): 7101 T(x,T(x,y) \ z) = (x \ z) \ z. [hyper(227,a,114,a(flip),b,7080,a)]. given #6331 (H,wt=13): 7106 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(227,a,2465,a(flip),b,7094,a)]. given #6332 (H,wt=14): 7099 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5498(a,1),7087(a,1,2,2))]. given #6333 (H,wt=15): 7052 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(6421(a,1),7034(a,1,2))]. given #6334 (H,wt=15): 7053 T(x,T(y,x) \ z) = x * K(x,y \ z). [para(7036(a,1),4996(a,2,2))]. given #6335 (H,wt=15): 7054 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(115(a,1),7038(a,1,2,2)),flip(a)]. given #6336 (H,wt=13): 7113 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(227,a,6658,a(flip),b,7054,a)]. given #6337 (H,wt=13): 7114 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),7113(a,1,2,2)),flip(a)]. given #6338 (H,wt=15): 7057 K(x,(y / x) / z) = K(x,(x \ y) / z). [para(115(a,1),7039(a,1,2,1)),flip(a)]. given #6339 (H,wt=15): 7059 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(109(a,1),7035(a,1,2))]. given #6340 (H,wt=15): 7076 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(6421(a,1),7069(a,1,2))]. given #6341 (H,wt=15): 7084 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7074(a,1),6559(a,1,1)),flip(a)]. given #6342 (H,wt=15): 7093 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6261(a,1),7078(a,1,2))]. given #6343 (H,wt=15): 7103 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),7085(a,1,2,2)),flip(a)]. given #6344 (H,wt=13): 7121 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(227,a,6766,a(flip),b,7103,a)]. given #6345 (H,wt=13): 7122 T(x,T(y,z * x)) = T(x,T(y,z)). [para(15(a,1),7121(a,1,2,2)),flip(a)]. given #6346 (H,wt=15): 7104 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(115(a,1),7086(a,1,2,2)),flip(a)]. given #6347 (H,wt=15): 7107 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [para(2496(a,1),7101(a,1,2,1))]. given #6348 (H,wt=15): 7110 T(x,y * (z * K(x,u))) = T(x,y * z). [para(100(a,1),7099(a,1,2))]. given #6349 (H,wt=15): 7116 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(6041(a,1),7113(a,1,2))]. given #6350 (H,wt=15): 7117 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [hyper(227,a,6658,a(flip),b,7114,a)]. given #6351 (H,wt=15): 7119 K(x,(y * x) * z) = K(x,(x * y) * z). [para(4948(a,1),7059(a,1,2,1)),flip(a)]. given #6352 (H,wt=15): 7120 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(227,a,6559,a(flip),b,7084,a)]. given #6353 (H,wt=15): 7123 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(62(a,1),7121(a,1,2,2)),flip(a)]. given #6354 (H,wt=15): 7125 T(T(x,x \ y),z) = (T(x,z) \ y) \ y. [hyper(439,a,7107,a)]. given #6355 (H,wt=15): 7126 T(x,y * (z * x)) = T(x,y * (x * z)). [para(92(a,1),7110(a,1,2,2)),flip(a)]. given #6356 (H,wt=15): 7127 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(5199(a,1),7120(a,1,2,2,1))]. given #6357 (H,wt=15): 7130 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(7125(a,2),62(a,1,2))]. given #6358 (H,wt=15): 7132 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(709(a,1),7125(a,1,1)),flip(a)]. given #6359 (H,wt=15): 7133 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(6065(a,1),7127(a,1,2,2))]. given #6360 (H,wt=15): 7135 T(x / (x / y),z) \ x = x / T(y,z). [para(270(a,1),7130(a,1,2,1)),flip(a)]. given #6361 (H,wt=15): 7137 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(5202(a,1),7133(a,1,2,2,2))]. given #6362 (H,wt=15): 7139 x / (x / T(y,z)) = T(x / (x / y),z). [para(7135(a,1),62(a,1,2))]. given #6363 (H,wt=16): 7064 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(6754(a,1),7060(a,1,2))]. given #6364 (H,wt=16): 7065 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(2420(a,1),7061(a,1,2))]. given #6365 (H,wt=16): 7109 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [para(7106(a,1),2508(a,1,1))]. given #6366 (H,wt=16): 7112 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(7053(a,2),5001(a,1))]. given #6367 (H,wt=16): 7144 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(227,a,114,a(flip),b,7109,a)]. given #6368 (H,wt=17): 6950 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(227,a,5949,a,b,6947,a),flip(a)]. given #6369 (H,wt=17): 6952 T(x * T(x \ y,x),z) = (x \ T(y,z)) * x. [hyper(227,a,3509,a(flip),b,6939,a(flip)),flip(a)]. given #6370 (H,wt=15): 7148 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(113(a,1),6952(a,1,1))]. given #6371 (H,wt=15): 7150 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(73,a,7148,a,b,xx)]. given #6372 (H,wt=15): 7152 (x \ T(x * y,z)) * x = T(y * x,z). [para(13(a,1),7148(a,1,1,1)),flip(a)]. given #6373 (H,wt=15): 7156 (x \ T(x * (y / x),z)) * x = T(y,z). [para(66(a,1),7148(a,1,1)),flip(a)]. given #6374 (H,wt=15): 7158 T(x * y,z) / y = y \ T(y * x,z). [para(13(a,1),7150(a,1,1,1,1))]. given #6375 (H,wt=15): 7160 x \ T(x * (y / x),z) = T(y,z) / x. [para(66(a,1),7150(a,1,1,1)),flip(a)]. given #6376 (H,wt=15): 7166 x * (T(y * x,z) / x) = T(x * y,z). [para(7152(a,1),61(a,1,2,1))]. given #6377 (H,wt=15): 7168 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(7152(a,1),2465(a,1,2))]. given #6378 (H,wt=17): 6968 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(5888(a,1),6964(a,1,1,2))]. given #6379 (H,wt=17): 7004 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(6240(a,1),6987(a,1,1)),flip(a)]. given #6380 (H,wt=17): 7008 K(T(x,y) \ T(z,u),z) = K(x \ z,T(z,y)). [hyper(227,a,6997,a,b,7007,a),flip(a)]. given #6381 (H,wt=17): 7018 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4948(a,1),7012(a,1,1))]. given #6382 (H,wt=17): 7020 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(6512(a,1),6981(a,1,1)),flip(a)]. given #6383 (H,wt=17): 7021 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(6425(a,1),6990(a,1,1)),flip(a)]. given #6384 (H,wt=17): 7056 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(6045(a,1),7038(a,1,2))]. given #6385 (H,wt=17): 7118 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7114(a,1),6508(a,1,2))]. given #6386 (H,wt=13): 7187 T(K(x,y),z * x) = T(K(x,y),z). [hyper(166,a,7118,a(flip),b,6567,a(flip))]. given #6387 (H,wt=15): 7186 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5966,a,7118,a),flip(a)]. given #6388 (H,wt=16): 7189 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7187(a,2),6558(a,1))]. given #6389 (H,wt=16): 7190 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(6555(a,2),7189(a,1))]. given #6390 (H,wt=17): 7124 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(115(a,1),7122(a,1,2)),flip(a)]. given #6391 (H,wt=17): 7129 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7123(a,1),7038(a,1,2))]. given #6392 (H,wt=17): 7136 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7132(a,1),6107(a,1,2)),flip(a)]. given #6393 (H,wt=17): 7149 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [hyper(420,a,7148,a,b,xx),flip(a)]. given #6394 (H,wt=17): 7154 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(7148(a,1),113(a,1,2))]. given #6395 (H,wt=17): 7163 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(4657(a,1),7150(a,1,1,1))]. given #6396 (H,wt=17): 7164 T(x \ T(x * y,z),x) = x \ T(y * x,z). [hyper(420,a,xx,b,7152,a)]. given #6397 (H,wt=17): 7179 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(7160(a,1),164(a,1,2,2))]. given #6398 (H,wt=17): 7196 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(5532(a,1),7164(a,1,1))]. given #6399 (H,wt=18): 6910 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(65(a,1),6908(a,1,1,2,1)),flip(a)]. given #6400 (H,wt=18): 6931 (K(x,y) * z) * x != u | K(x,y) * (z * x) = u. [para(6924(a,1),209(a,1,2))]. given #6401 (H,wt=18): 6985 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6970(a,1),5914(a,1,1))]. given #6402 (H,wt=18): 7013 K(x * (y \ 1),y) != z | K(x * (1 / y),y) = z. [para(5387(a,1),6991(a,1,1))]. given #6403 (H,wt=18): 7014 K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. [para(6340(a,1),6991(a,1,1))]. given #6404 (H,wt=18): 7028 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7015(a,1,1,2))]. given #6405 (H,wt=18): 7044 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7040(a,1),5860(a,1,1))]. given #6406 (H,wt=18): 7067 K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. [para(6261(a,1),7061(a,1,2))]. given #6407 (H,wt=18): 7128 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(5579(a,1),7120(a,1,2,2,1))]. given #6408 (H,wt=18): 7138 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(5625(a,1),7133(a,1,2,2,2))]. given #6409 (H,wt=18): 7146 T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. [para(115(a,1),7112(a,1,2,1))]. given #6410 (H,wt=18): 7153 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(7148(a,2),20(a,1))]. given #6411 (H,wt=18): 7157 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(7148(a,2),293(a,1,1)),flip(b)]. given #6412 (H,wt=18): 7181 T(x * y,z) != x * u | T(y * x,z) / x = u. [para(7166(a,1),19(a,1))]. given #6413 (H,wt=18): 7201 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6910(a,2,1,2))]. given #6414 (H,wt=15): 7206 K((x * y) / z,x) = K(x / (z / y),x). [hyper(227,a,5860,a(flip),b,7201,a(flip))]. given #6415 (H,wt=15): 7207 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(227,a,5212,a(flip),b,7206,a)]. given #6416 (H,wt=18): 7205 T(x \ 1,y) / x != z | x \ T(1 / x,y) = z. [para(259(a,1),7157(a,1,1,1))]. given #6417 (H,wt=18): 7208 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7206(a,2),5428(a,1))]. given #6418 (H,wt=19): 6917 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6911(a,1),6454(a,1,1,2)),flip(a)]. given #6419 (H,wt=19): 6927 (K(x,y) * (z * x)) \ 1 = x \ ((K(x,y) * z) \ 1). [para(6918(a,1),123(a,1,1))]. given #6420 (H,wt=17): 7209 x \ ((K(x,y) * z) \ 1) = (z * x) \ K(y,x). [hyper(5126,a,6927,a),flip(a)]. given #6421 (H,wt=15): 7210 (x * y) \ K(z,y) = y \ (x \ K(z,y)). [para(5104(a,1),7209(a,1,2)),flip(a)]. given #6422 (H,wt=19): 6929 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(6193(a,1),6918(a,1,1))]. given #6423 (H,wt=19): 6944 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(38(a,1),6937(a,2,2))]. given #6424 (H,wt=17): 7211 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(227,a,5957,a(flip),b,6944,a)]. given #6425 (H,wt=19): 6996 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(6973(a,1),5902(a,2,2)),flip(a)]. given #6426 (H,wt=19): 6998 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(115(a,1),6974(a,1,1,2)),flip(a)]. given #6427 (H,wt=19): 7022 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5011(a,1),6999(a,1,1,2))]. given #6428 (H,wt=19): 7029 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(166,a,6940,a,b,1925,a)]. given #6429 (H,wt=19): 7063 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5788(a,1),7060(a,1,2)),flip(a)]. given #6430 (H,wt=19): 7075 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(6340(a,1),7069(a,1,2)),flip(a)]. given #6431 (H,wt=19): 7140 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5413(a,1),7135(a,1,1,1))]. given #6432 (H,wt=19): 7170 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(7152(a,1),7117(a,1,2,2))]. given #6433 (H,wt=19): 7171 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(227,a,4097,a,b,7156,a(flip)),flip(a)]. given #6434 (H,wt=19): 7173 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(227,a,1647,a,b,7158,a),flip(a)]. given #6435 (H,wt=19): 7180 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [para(7160(a,1),5864(a,1,1)),flip(a)]. given #6436 (H,wt=19): 7182 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6386(a,1),6968(a,1,1)),flip(a)]. given #6437 (H,wt=19): 7192 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(115(a,1),7129(a,1,2,2)),flip(a)]. given #6438 (H,wt=19): 7194 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(115(a,1),7154(a,1,2,1,2)),flip(a)]. given #6439 (H,wt=19): 7195 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5070,a,7163,a)]. given #6440 (H,wt=19): 7197 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5904(a,1),7164(a,1,1))]. given #6441 (H,wt=19): 7198 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(115(a,1),7179(a,1,2,2,1)),flip(a)]. given #6442 (H,wt=19): 7203 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(109(a,1),7128(a,1,2,2))]. given #6443 (H,wt=19): 7204 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(100(a,1),7138(a,1,2,2))]. given #6444 (H,wt=19): 7213 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),7029(a,1,1,2)),flip(a)]. given #6445 (H,wt=19): 7214 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),7063(a,1,2,1))]. given #6446 (H,wt=19): 7215 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(6490,a,7171,a),flip(a)]. given #6447 (H,wt=19): 7223 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(7194(a,1),6730(a,1,2))]. given #6448 (H,wt=19): 7226 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(92(a,1),7204(a,1,2,2,2))]. given #6449 (H,wt=19): 7230 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(3087(a,1),7215(a,1,1))]. given #6450 (H,wt=20): 5859 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),5856(a,1,2,1))]. given #6451 (H,wt=20): 5869 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5789(a,1),167(a,2)),flip(a)]. given #6452 (H,wt=20): 5896 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(102(a,2),5877(a,1,1,1))]. given #6453 (H,wt=18): 7233 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(227,a,5905,a(flip),b,5896,a(flip)),flip(a)]. given #6454 (H,wt=17): 7238 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(102(a,2),7233(a,2,1))]. given #6455 (H,wt=14): 7239 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(6309,a,7238,a),flip(a)]. given #6456 (H,wt=15): 7241 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(479(a,1),7239(a,1,1)),flip(a)]. given #6457 (H,wt=15): 7242 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(227,a,6010,a(flip),b,7241,a(flip))]. given #6458 (H,wt=18): 7235 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),7233(a,2,1,1))]. given #6459 (H,wt=18): 7237 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(65(a,1),7233(a,1,1,1)),flip(a)]. given #6460 (H,wt=15): 7245 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(104(a,2),7237(a,1,1))]. given #6461 (H,wt=12): 7250 L(K(x,y),z,K(x,u)) = K(x,y). [para(6924(a,1),7245(a,1,1)),flip(a)]. given #6462 (H,wt=12): 7251 L(K(x,y),z,K(u,x)) = K(x,y). [para(6934(a,1),7245(a,1,1)),flip(a)]. given #6463 (H,wt=15): 7247 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),7245(a,1,1,2)),flip(a)]. given #6464 (H,wt=14): 7257 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7247(a,1),7099(a,1,2,2))]. given #6465 (H,wt=16): 7252 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7250(a,1),40(a,2,1))]. given #6466 (H,wt=15): 7260 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(227,a,5674,a(flip),b,7252,a(flip)),flip(a)]. given #6467 (H,wt=15): 7262 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5199(a,1),7260(a,1,2,1))]. given #6468 (H,wt=15): 7264 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(6065(a,1),7262(a,1,2))]. given #6469 (H,wt=16): 7255 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(227,a,6985,a(flip),b,7247,a(flip))]. given #6470 (H,wt=12): 7266 K(L(x,K(y,z),u),y) = K(x,y). [hyper(227,a,6970,a(flip),b,7255,a)]. given #6471 (H,wt=17): 7248 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(7245(a,1),5084(a,1,1)),flip(a)]. given #6472 (H,wt=15): 7269 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(227,a,5630,a(flip),b,7248,a)]. given #6473 (H,wt=10): 7271 L(K(x,y),z,y) = K(x,y). [hyper(227,a,6030,a(flip),b,7269,a(flip))]. given #6474 (H,wt=8): 7277 a(x,y,K(z,x)) = 1. [hyper(34,a,7271,a)]. given #6475 (H,wt=8): 7282 a(x,y,K(x,z)) = 1. [para(5202(a,1),7277(a,1,3))]. given #6476 (H,wt=10): 7278 K(L(x,y,z),z) = K(x,z). [hyper(227,a,7247,a(flip),b,7271,a(flip)),flip(a)]. given #6477 (H,wt=10): 7283 a(x,y,K(z,x \ 1)) = 1. [para(5378(a,1),7277(a,1,3))]. given #6478 (H,wt=10): 7284 L(K(x,y),z,x) = K(x,y). [hyper(33,a,7282,a)]. given #6479 (H,wt=10): 7285 a(x,y,K(x * z,z)) = 1. [para(5201(a,2),7282(a,1,3))]. given #6480 (H,wt=10): 7290 K(L(x,y,x),z) = K(x,z). [hyper(227,a,7247,a(flip),b,7284,a(flip)),flip(a)]. given #6481 (H,wt=10): 7295 K(L(x,x,y),z) = K(x,z). [para(5527(a,1),7290(a,1,1))]. given #6482 (H,wt=12): 7276 L(K(x,y),z,K(u,y)) = K(x,y). [para(6934(a,1),7269(a,1,2)),flip(a)]. given #6483 (H,wt=12): 7287 T(x * K(y,x),L(y,z,x)) = x. [para(7278(a,1),4978(a,1,1,2))]. given #6484 (H,wt=10): 7299 T(x,L(y,z,x)) = T(x,y). [para(7287(a,1),5024(a,1,1)),flip(a)]. given #6485 (H,wt=12): 7296 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(227,a,7247,a(flip),b,7276,a(flip)),flip(a)]. given #6486 (H,wt=14): 7289 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(227,a,13,a,b,7284,a)]. given #6487 (H,wt=13): 7303 L(K(x,y),z,x) != u | K(x,y) = u. [para(7289(a,2),282(a,1)),flip(b)]. given #6488 (H,wt=13): 7304 K(L(x,y,x),z) != u | K(x,z) = u. [para(7247(a,1),7303(a,1))]. given #6489 (H,wt=13): 7305 K(x,y) != z | K(R(x,u,x),y) = z. [para(2875(a,1),7304(a,1,1))]. given #6490 (H,wt=14): 7292 L(K(x * y,y),z,x) = K(x * y,y). [hyper(33,a,7285,a)]. given #6491 (H,wt=15): 7272 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),7269(a,1,2,2)),flip(a)]. given #6492 (H,wt=10): 7306 K(x,L(y,z,x)) = K(x,y). [hyper(7303,a,7272,a),flip(a)]. given #6493 (H,wt=10): 7310 T(x,K(y,L(x,z,u))) = x. [para(7272(a,1),2960(a,1,2))]. given #6494 (H,wt=12): 7308 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(227,a,7251,a(flip),b,7272,a(flip))]. given #6495 (H,wt=12): 7309 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(227,a,7250,a(flip),b,7272,a(flip))]. given #6496 (H,wt=13): 7312 K(x,L(y,z,x)) != u | K(x,y) = u. [para(7272(a,1),7303(a,1))]. given #6497 (H,wt=14): 7311 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(7272(a,1),6978(a,1,1,2))]. given #6498 (H,wt=14): 7317 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7310(a,1),6559(a,1,1)),flip(a)]. given #6499 (H,wt=15): 7279 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(227,a,7235,a(flip),b,7271,a(flip))]. given #6500 (H,wt=15): 7280 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7271(a,1),100(a,1,2))]. given #6501 (H,wt=8): 7326 R(x,y,K(z,x)) = x. [hyper(495,a,7280,a)]. given #6502 (H,wt=8): 7331 R(x,y,K(x,z)) = x. [para(5202(a,1),7326(a,1,3))]. given #6503 (H,wt=10): 7330 R(x,y,T(K(z,x),u)) = x. [para(2627(a,1),7326(a,1,3))]. given #6504 (H,wt=10): 7334 R(x,y,K(z,T(x,u))) = x. [para(6559(a,1),7326(a,1,3))]. given #6505 (H,wt=12): 7332 R(x \ 1,y,K(x,z)) = x \ 1. [para(5345(a,1),7326(a,1,3))]. given #6506 (H,wt=14): 7336 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7331(a,1),46(a,1,1)),flip(a)]. given #6507 (H,wt=15): 7291 (x * y) * K(x,z) = x * (y * K(x,z)). [para(7284(a,1),100(a,1,2))]. given #6508 (H,wt=15): 7294 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7290(a,1),5059(a,1,1))]. given #6509 (H,wt=15): 7300 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(219(a,1),7299(a,1,2))]. given #6510 (H,wt=15): 7301 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(479(a,1),7299(a,1,2)),flip(a)]. given #6511 (H,wt=15): 7314 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(219(a,1),7306(a,1,2))]. given #6512 (H,wt=15): 7315 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(479(a,1),7306(a,1,2)),flip(a)]. given #6513 (H,wt=15): 7323 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),7279(a,2,1,2))]. given #6514 (H,wt=15): 7325 x \ (y * K(z,x)) = (x \ y) * K(z,x). [hyper(600,a,7280,a)]. given #6515 (H,wt=15): 7344 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3020,a,7294,a)]. given #6516 (H,wt=15): 7346 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(7146,a,7301,a)]. given #6517 (H,wt=15): 7351 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(7028,a,7323,a)]. given #6518 (H,wt=15): 7352 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(6679,a,7325,a)]. given #6519 (H,wt=15): 7355 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(7014,a,7351,a)]. given #6520 (H,wt=15): 7356 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(227,a,7323,a(flip),b,7351,a(flip))]. given #6521 (H,wt=15): 7358 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(227,a,7242,a(flip),b,7355,a)]. given #6522 (H,wt=15): 7359 K((x * y) \ (z * y),y) = K(x \ z,y). [para(15(a,1),7355(a,1,1,1)),flip(a)]. given #6523 (H,wt=15): 7360 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(227,a,7242,a(flip),b,7356,a(flip)),flip(a)]. given #6524 (H,wt=15): 7361 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(15(a,1),7358(a,1,1,1)),flip(a)]. given #6525 (H,wt=15): 7362 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(227,a,7356,a(flip),b,7359,a(flip)),flip(a)]. given #6526 (H,wt=16): 7286 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),7278(a,1,1))]. given #6527 (H,wt=16): 7293 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(227,a,7114,a,b,7290,a)]. given #6528 (H,wt=16): 7302 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7296(a,1),4972(a,2,1,1))]. given #6529 (H,wt=12): 7366 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(227,a,4972,a,b,7302,a)]. given #6530 (H,wt=16): 7313 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),7306(a,1,2))]. given #6531 (H,wt=17): 7273 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(62(a,1),7269(a,1,2,2)),flip(a)]. given #6532 (H,wt=14): 7368 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(6295,a,7273,a),flip(a)]. given #6533 (H,wt=15): 7372 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(102(a,1),7368(a,1,2))]. given #6534 (H,wt=15): 7374 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(479(a,1),7368(a,1,2)),flip(a)]. given #6535 (H,wt=15): 7376 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(227,a,5946,a(flip),b,7374,a(flip))]. given #6536 (H,wt=15): 7378 K(x,y \ ((y * z) * x)) = K(x,x * z). [para(13(a,1),7376(a,2,2,2))]. given #6537 (H,wt=15): 7380 K(x,y \ ((y * z) * x)) = K(x,z * x). [hyper(227,a,5344,a,b,7378,a)]. given #6538 (H,wt=17): 7322 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(236(a,1),7311(a,1,1))]. given #6539 (H,wt=17): 7342 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(227,a,5798,a,b,7291,a),flip(a)]. given #6540 (H,wt=15): 7382 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(166,a,5949,a,b,7342,a)]. given #6541 (H,wt=13): 7385 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(161(a,1),7382(a,1,1)),flip(a)]. given #6542 (H,wt=13): 7386 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7382(a,1),191(a,1,1))]. given #6543 (H,wt=13): 7391 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(5204(a,1),7386(a,1,1)),flip(a)]. given #6544 (H,wt=15): 7383 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(166,a,7342,a(flip),b,5795,a)]. given #6545 (H,wt=15): 7387 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(227,a,6576,a,b,7385,a)]. given #6546 (H,wt=15): 7389 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(227,a,6000,a,b,7386,a(flip)),flip(a)]. given #6547 (H,wt=15): 7393 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(7181,a,7383,a)]. given #6548 (H,wt=15): 7395 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(6723,a,7389,a)]. given #6549 (H,wt=11): 7398 K(x,K(y,z)) = K(z,K(y,x)). [hyper(18,a,6754,a,b,7395,a)]. given #6550 (H,wt=11): 7399 K(K(x,y),z) = K(x,K(y,z)). [hyper(6738,a,7398,a)]. given #6551 (H,wt=13): 7400 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(5445,a,7398,a),flip(a)]. given #6552 (H,wt=13): 7401 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(5401,a,7398,a)]. given #6553 (H,wt=13): 7402 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(227,a,6902,a,b,7398,a),flip(a)]. given #6554 (H,wt=13): 7404 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7398(a,1),4996(a,2,2)),flip(a)]. given #6555 (H,wt=13): 7408 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7398(a,1),6735(a,1,1))]. given #6556 (H,wt=11): 7428 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6736,a,7408,a)]. given #6557 (H,wt=11): 7429 K(K(x,y),z) = K(y,K(z,x)). [hyper(5096,a,7408,a)]. given #6558 (H,wt=11): 7433 K(K(x,y),z) = K(y,K(x,z)). [hyper(227,a,7399,a,b,7428,a),flip(a)]. given #6559 (H,wt=11): 7434 K(x,K(y,z)) = K(z,K(x,y)). [hyper(227,a,7398,a,b,7428,a)]. given #6560 (H,wt=11): 7441 K(K(x,y),z) = K(x,K(z,y)). [hyper(227,a,7398,a,b,7429,a)]. given #6561 (H,wt=11): 7442 K(K(x,y),z) = K(z,K(x,y)). [hyper(227,a,7398,a,b,7433,a)]. given #6562 (H,wt=11): 7443 K(x,K(y,z)) = K(x,K(z,y)). [hyper(227,a,7429,a(flip),b,7433,a(flip))]. given #6563 (H,wt=13): 7415 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(7399(a,1),4964(a,1,2))]. given #6564 (H,wt=13): 7423 K(x,K(y,z * y)) = K(y,K(x,z)). [para(5337(a,1),7400(a,1,2))]. given #6565 (H,wt=13): 7424 K(x,K(y,y * z)) = K(y,K(x,z)). [para(5340(a,1),7400(a,1,2))]. given #6566 (H,wt=13): 7426 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(227,a,7398,a,b,7402,a(flip)),flip(a)]. given #6567 (H,wt=13): 7431 K(x \ y,K(x,z)) = K(x,K(y,z)). [hyper(6377,a,7428,a)]. given #6568 (H,wt=13): 7432 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(227,a,7400,a,b,7428,a),flip(a)]. given #6569 (H,wt=13): 7435 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7428(a,1),5004(a,2,1)),flip(a)]. given #6570 (H,wt=13): 7440 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7428(a,1),7404(a,1,2))]. given #6571 (H,wt=11): 7486 T(x,K(y,z)) = T(x,K(z,y)). [hyper(227,a,7404,a(flip),b,7440,a(flip))]. given #6572 (H,wt=11): 7487 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6734,a,7486,a)]. given #6573 (H,wt=13): 7447 x * K(K(y,z),x) = T(x,K(y,z)). [para(7433(a,2),7404(a,1,2))]. given #6574 (H,wt=13): 7448 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(5445,a,7434,a),flip(a)]. given #6575 (H,wt=13): 7449 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(5401,a,7434,a)]. given #6576 (H,wt=13): 7450 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(227,a,7400,a,b,7434,a),flip(a)]. given #6577 (H,wt=13): 7452 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(227,a,6375,a(flip),b,7434,a)]. given #6578 (H,wt=13): 7453 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(227,a,7401,a,b,7434,a(flip)),flip(a)]. given #6579 (H,wt=13): 7454 K(x,K(y,z)) * y = T(y,K(z,x)). [para(7434(a,1),5004(a,2,1)),flip(a)]. given #6580 (H,wt=13): 7455 K(x,K(y,y / z)) = K(y,K(x,z)). [para(5215(a,2),7434(a,1,2))]. given #6581 (H,wt=13): 7465 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7434(a,1),7404(a,1,2))]. given #6582 (H,wt=13): 7467 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(71,a,7442,a,b,6444,a),flip(a)]. given #6583 (H,wt=13): 7475 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7443(a,1),5004(a,2,1)),flip(a)]. given #6584 (H,wt=13): 7476 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(5199(a,1),7443(a,1,2)),flip(a)]. given #6585 (H,wt=13): 7480 K(x,K(y,y * z)) = K(y,K(z,x)). [hyper(227,a,7443,a,b,7424,a)]. given #6586 (H,wt=13): 7481 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(227,a,7428,a,b,7424,a)]. given #6587 (H,wt=13): 7485 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(227,a,7443,a,b,7432,a(flip)),flip(a)]. given #6588 (H,wt=13): 7492 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(227,a,7385,a(flip),b,7486,a)]. given #6589 (H,wt=13): 7499 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7486(a,1),7386(a,1,1))]. given #6590 (H,wt=13): 7501 T(K(x,y),z) * z = z * K(x,y). [para(7487(a,1),1984(a,1,2))]. given #6591 (H,wt=11): 7516 T(T(K(x,y),z),z) = K(x,y). [hyper(166,a,7501,a,b,xx)]. given #6592 (H,wt=11): 7518 T(K(x,T(y,z)),z) = K(x,y). [hyper(18,a,6508,a(flip),b,7501,a)]. given #6593 (H,wt=11): 7522 K(x,T(T(y,z),z)) = K(x,y). [hyper(227,a,6747,a,b,7516,a(flip)),flip(a)]. given #6594 (H,wt=11): 7526 K(T(x,y),T(z,y)) = K(x,z). [hyper(6713,a,7518,a)]. given #6595 (H,wt=13): 7506 K(1 / x,K(y,z)) = K(x,K(y,z)). [hyper(6170,a,7453,a),flip(a)]. given #6596 (H,wt=13): 7507 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(227,a,7434,a,b,7455,a(flip)),flip(a)]. given #6597 (H,wt=13): 7515 K(x,T(y,z)) * z = z * K(x,y). [hyper(6835,a,7501,a)]. given #6598 (H,wt=13): 7517 T(K(x,y \ z),z) = K(x,z / y). [hyper(18,a,6348,a,b,7501,a)]. given #6599 (H,wt=13): 7527 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6313,a,7518,a)]. given #6600 (H,wt=13): 7529 T(K(x,y \ z),y) = K(x,z / y). [para(115(a,1),7518(a,1,1,2))]. given #6601 (H,wt=13): 7531 T(K(x,y),z \ 1) = K(x,T(y,z)). [para(6023(a,1),7518(a,1,1))]. given #6602 (H,wt=13): 7532 K(x \ y,T(z,x)) = K(y / x,z). [hyper(6782,a,7522,a)]. given #6603 (H,wt=13): 7533 K((x * y) / x,z) = K(y,T(z,x)). [hyper(6675,a,7522,a),flip(a)]. given #6604 (H,wt=13): 7535 K(x,T(y \ z,z)) = K(x,z / y). [hyper(227,a,7136,a(flip),b,7522,a(flip)),flip(a)]. given #6605 (H,wt=13): 7536 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),7522(a,1,2,1))]. given #6606 (H,wt=13): 7538 K(x,T(y,z \ y)) = K(x,T(y,z)). [para(2496(a,1),7522(a,1,2,1))]. given #6607 (H,wt=13): 7540 K(T(x,y \ 1),z) = K(x,T(z,y)). [hyper(227,a,6023,a(flip),b,7526,a(flip)),flip(a)]. given #6608 (H,wt=13): 7544 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),7526(a,1,2))]. given #6609 (H,wt=13): 7545 K(x,(y * z) / y) = K(T(x,y),z). [para(160(a,1),7526(a,1,2)),flip(a)]. given #6610 (H,wt=13): 7550 K(x * K(y,x),z) = K(x,T(z,y)). [para(4978(a,1),7526(a,1,1)),flip(a)]. given #6611 (H,wt=13): 7551 K(x,y * K(z,y)) = K(T(x,z),y). [para(4978(a,1),7526(a,1,2)),flip(a)]. given #6612 (H,wt=13): 7552 x * K(T(x,y),T(z,y)) = T(x,z). [para(7526(a,2),4996(a,2,2)),flip(a)]. given #6613 (H,wt=11): 7597 T(x,T(T(y,z),z)) = T(x,y). [hyper(6596,a,7552,a)]. given #6614 (H,wt=13): 7555 K(x,T(y,z)) * (z * K(y,x)) = z. [para(7526(a,1),6621(a,1,2,2))]. given #6615 (H,wt=13): 7560 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(62(a,1),7507(a,1,2,1)),flip(a)]. given #6616 (H,wt=13): 7568 K(x / (x / y),z) = K(y,T(z,x)). [hyper(6170,a,7527,a),flip(a)]. given #6617 (H,wt=13): 7576 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(6558,a,7531,a)]. given #6618 (H,wt=13): 7586 K(x,y / (y / z)) = K(x,T(z,y)). [para(65(a,1),7535(a,1,2,1)),flip(a)]. given #6619 (H,wt=13): 7599 T(x,T(y \ z,y)) = T(x,z / y). [para(115(a,1),7597(a,1,2,1))]. given #6620 (H,wt=13): 7600 T(x,(y * z) / y) = T(x,T(z,y)). [para(160(a,1),7597(a,1,2,1)),flip(a)]. given #6621 (H,wt=13): 7603 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(2496(a,1),7597(a,1,2,1))]. given #6622 (H,wt=13): 7604 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4978(a,1),7597(a,1,2,1)),flip(a)]. given #6623 (H,wt=13): 7613 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(227,a,7116,a(flip),b,7576,a(flip)),flip(a)]. given #6624 (H,wt=13): 7619 T(x,y / (y / z)) = T(x,T(z,y)). [hyper(6285,a,7600,a)]. given #6625 (H,wt=13): 7622 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(227,a,6150,a,b,7603,a(flip)),flip(a)]. given #6626 (H,wt=13): 7624 T(x,T(y \ z,z)) = T(x,z / y). [para(62(a,1),7619(a,1,2,2)),flip(a)]. given #6627 (H,wt=14): 7409 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7398(a,1),6738(a,1))]. given #6628 (H,wt=14): 7420 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7399(a,1),6787(a,1))]. given #6629 (H,wt=14): 7430 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7408(a,1),6736(a,1))]. given #6630 (H,wt=14): 7446 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7433(a,1),6787(a,1))]. given #6631 (H,wt=14): 7466 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7441(a,1),6787(a,1))]. given #6632 (H,wt=14): 7473 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7442(a,1),6787(a,1))]. given #6633 (H,wt=14): 7497 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(7486(a,1),6734(a,1,1))]. given #6634 (H,wt=14): 7502 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7487(a,1),6734(a,1,1)),flip(b)]. given #6635 (H,wt=14): 7585 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7533(a,1),6675(a,1))]. given #6636 (H,wt=14): 7605 T(x,y) != z | T(x,T(y,T(x,u))) = z. [para(7597(a,1),5275(a,1))]. given #6637 (H,wt=14): 7618 T(x,y / x) != z | T(x,x \ y) = z. [para(7599(a,1),1973(a,1))]. given #6638 (H,wt=14): 7628 T(x,x / y) != z | T(x,y \ x) = z. [para(7624(a,1),1973(a,1))]. given #6639 (H,wt=14): 7630 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(6733(a,2),7420(a,1))]. given #6640 (H,wt=14): 7631 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7433(a,2),7420(a,1))]. given #6641 (H,wt=14): 7632 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(7441(a,2),7420(a,1))]. given #6642 (H,wt=14): 7646 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(6555(a,1),7585(a,1))]. given #6643 (H,wt=14): 7647 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(6559(a,2),7585(a,1))]. given #6644 (H,wt=15): 7396 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(7157,a,7393,a)]. given #6645 (H,wt=15): 7397 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [para(7393(a,1),16(a,1,1)),flip(a)]. given #6646 (H,wt=15): 7403 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7398(a,1),4971(a,2,1)),flip(a)]. given #6647 (H,wt=15): 7407 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7398(a,1),6487(a,1,2))]. given #6648 (H,wt=10): 7670 K(x,K(y,R(x,z,u))) = 1. [hyper(71,a,6565,a(flip),b,7407,a),flip(a)]. given #6649 (H,wt=10): 7672 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7670,a)]. given #6650 (H,wt=12): 7669 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(71,a,6595,a(flip),b,7407,a),flip(a)]. given #6651 (H,wt=14): 7673 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7672(a,1),38(a,1,1)),flip(a)]. given #6652 (H,wt=15): 7410 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7398(a,1),6568(a,1,1))]. given #6653 (H,wt=15): 7411 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7398(a,1),6724(a,1,2))]. given #6654 (H,wt=15): 7421 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(6970(a,1),7399(a,1,1)),flip(a)]. given #6655 (H,wt=15): 7422 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(7032(a,1),7399(a,1,1)),flip(a)]. given #6656 (H,wt=15): 7427 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7404(a,1),7137(a,1,2,2))]. given #6657 (H,wt=15): 7437 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7428(a,1),6724(a,1,2))]. given #6658 (H,wt=15): 7438 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7031(a,1),7428(a,1,2)),flip(a)]. given #6659 (H,wt=15): 7451 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(227,a,6066,a,b,7434,a),flip(a)]. given #6660 (H,wt=15): 7459 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7434(a,2),6230(a,1,1))]. given #6661 (H,wt=15): 7461 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(6559(a,1),7434(a,1,2))]. given #6662 (H,wt=15): 7464 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7434(a,1),6487(a,1,2))]. given #6663 (H,wt=15): 7468 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7442(a,1),4996(a,2,2)),flip(a)]. given #6664 (H,wt=15): 7470 x / K(y,K(z,u)) = x * K(y,K(z,u)). [para(7442(a,1),6497(a,1,2))]. given #6665 (H,wt=15): 7478 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7443(a,1),6487(a,1,2))]. given #6666 (H,wt=15): 7479 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7415(a,1),7110(a,1,2,2)),flip(a)]. given #6667 (H,wt=15): 7484 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(5910(a,1),7426(a,1,2))]. given #6668 (H,wt=15): 7488 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(6696,a,7486,a)]. given #6669 (H,wt=15): 7489 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6481,a,7486,a),flip(a)]. given #6670 (H,wt=15): 7490 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(5492,a,7486,a)]. given #6671 (H,wt=15): 7491 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(5131,a,7486,a),flip(a)]. given #6672 (H,wt=15): 7496 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7486(a,1),6513(a,1,1))]. given #6673 (H,wt=15): 7503 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(7450(a,1),4996(a,2,2))]. given #6674 (H,wt=13): 7694 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(227,a,4996,a,b,7503,a)]. given #6675 (H,wt=13): 7695 T(x,K(y,y \ z)) = T(x,K(z,y)). [para(5338(a,1),7694(a,1,2)),flip(a)]. given #6676 (H,wt=13): 7696 T(x,K(y,y * z)) = T(x,K(z,y)). [para(5340(a,1),7694(a,1,2))]. given #6677 (H,wt=13): 7697 T(x,K(y \ 1,z)) = T(x,K(y,z)). [para(5378(a,2),7694(a,1,2))]. given #6678 (H,wt=13): 7699 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(227,a,7486,a,b,7695,a)]. given #6679 (H,wt=13): 7701 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(227,a,7486,a,b,7696,a)]. given #6680 (H,wt=15): 7504 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(6016(a,1),7450(a,1,2))]. given #6681 (H,wt=15): 7505 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(7452(a,1),5004(a,2,1))]. given #6682 (H,wt=13): 7705 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(227,a,7454,a(flip),b,7505,a)]. given #6683 (H,wt=13): 7707 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),7705(a,1,2,2)),flip(a)]. given #6684 (H,wt=13): 7708 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(227,a,7486,a,b,7707,a)]. given #6685 (H,wt=15): 7520 K(x,y) * (z * z) = z * (z * K(x,y)). [para(7501(a,1),907(a,1,2)),flip(a)]. given #6686 (H,wt=11): 7710 T(K(x,y),z * z) = K(x,y). [hyper(166,a,7520,a,b,6545,a)]. given #6687 (H,wt=11): 7712 K(x,T(y,z * z)) = K(x,y). [hyper(7646,a,7710,a),flip(a)]. given #6688 (H,wt=15): 7521 K(x,y \ z) * z = z * K(x,z / y). [para(6349(a,1),7501(a,1,1))]. given #6689 (H,wt=15): 7537 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(1237(a,1),7522(a,1,2,1))]. given #6690 (H,wt=15): 7548 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(2308(a,1),7526(a,1,2))]. given #6691 (H,wt=15): 7561 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(73,a,7515,a(flip),b,5791,a)]. given #6692 (H,wt=15): 7563 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7515(a,1),5747(a,1,2)),flip(a)]. given #6693 (H,wt=15): 7572 x / K(x / y,z) = K(y \ x,z) \ x. [para(7527(a,1),6554(a,1,2))]. given #6694 (H,wt=15): 7602 T(x,T(y * z,z)) = T(x,(1 / z) \ y). [para(621(a,1),7597(a,1,2,1))]. given #6695 (H,wt=15): 7606 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(7597(a,1),6863(a,1,1,2))]. given #6696 (H,wt=15): 7607 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7597(a,1),7186(a,2,2))]. given #6697 (H,wt=15): 7609 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(7560(a,1),4996(a,2,2))]. given #6698 (H,wt=13): 7716 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(227,a,7465,a(flip),b,7609,a)]. given #6699 (H,wt=15): 7623 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(6128,a,7604,a)]. given #6700 (H,wt=15): 7626 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6040(a,1),7622(a,1,2))]. given #6701 (H,wt=15): 7627 T(x,y / (y * z)) = T(x,y \ (z \ y)). [para(966(a,1),7624(a,1,2)),flip(a)]. given #6702 (H,wt=15): 7655 T(K(x,y),L(y,z,u)) != w | K(x,y) = w. [para(264(a,1),7646(a,1,1,2))]. given #6703 (H,wt=15): 7656 T(K(x,y),R(x,z,u)) != w | K(x,y) = w. [para(6565(a,1),7646(a,1,1))]. given #6704 (H,wt=15): 7666 x \ T(y,K(x,z)) = T(x \ y,K(z,x)). [hyper(227,a,7486,a,b,7396,a)]. given #6705 (H,wt=15): 7677 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(227,a,7399,a(flip),b,7421,a)]. given #6706 (H,wt=14): 7722 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7677(a,1),5947(a,1,3))]. given #6707 (H,wt=15): 7678 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(227,a,7399,a(flip),b,7422,a)]. given #6708 (H,wt=15): 7679 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(6615,a,7427,a)]. given #6709 (H,wt=15): 7681 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(227,a,7428,a,b,7438,a)]. given #6710 (H,wt=15): 7682 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(3077,a,7451,a)]. given #6711 (H,wt=15): 7706 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(227,a,6763,a,b,7705,a(flip)),flip(a)]. given #6712 (H,wt=15): 7713 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(6299,a,7607,a)]. given #6713 (H,wt=15): 7714 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(73,a,7607,a(flip),b,5790,a(flip))]. given #6714 (H,wt=15): 7720 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(5207(a,1),7666(a,1,2)),flip(a)]. given #6715 (H,wt=15): 7721 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5199(a,1),7677(a,1,1,1))]. given #6716 (H,wt=15): 7723 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7515(a,1),7677(a,1,1))]. given #6717 (H,wt=13): 7731 K(x,x * K(y,z)) = K(x,K(y,z)). [hyper(6166,a,7723,a)]. given #6718 (H,wt=15): 7724 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7430,a,7678,a)]. given #6719 (H,wt=15): 7732 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(227,a,5339,a,b,7731,a),flip(a)]. given #6720 (H,wt=16): 7388 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7385(a,1),7317(a,1,2))]. given #6721 (H,wt=16): 7394 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7387(a,2),6577(a,1))]. given #6722 (H,wt=16): 7405 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(7398(a,1),5001(a,1,2))]. given #6723 (H,wt=16): 7406 K(x,K(y,z)) != u | K(z \ 1,K(x,y)) = u. [para(7398(a,1),5401(a,1))]. given #6724 (H,wt=16): 7439 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7309(a,1),7428(a,1,2)),flip(a)]. given #6725 (H,wt=16): 7456 K(x,K(y,z)) * y != u | T(y,K(z,x)) = u. [para(7434(a,1),5005(a,1,1))]. given #6726 (H,wt=16): 7477 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7443(a,1),5001(a,1,2))]. given #6727 (H,wt=16): 7508 1 != x | K(y,K(z,u)) * K(y,K(z,u)) = x. [para(7467(a,1),5210(a,1))]. given #6728 (H,wt=16): 7558 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(7287(a,1),7526(a,1,1))]. given #6729 (H,wt=14): 7737 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(227,a,7550,a(flip),b,7558,a)]. given #6730 (H,wt=16): 7577 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(7531(a,2),6615(a,1))]. given #6731 (H,wt=16): 7588 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(7536(a,1),6615(a,1))]. given #6732 (H,wt=16): 7614 K(x,T(y,z)) != u | T(K(x,y),z \ 1) = u. [para(7576(a,1),6615(a,1))]. given #6733 (H,wt=16): 7616 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(7586(a,2),6668(a,1))]. given #6734 (H,wt=16): 7629 K(x,K(y,z)) != u | K(y,K(z,x \ 1)) = u. [para(5381(a,1),7420(a,1))]. given #6735 (H,wt=16): 7633 K(x \ y,K(x,z)) != u | K(x,K(y,z)) = u. [para(6375(a,2),7430(a,1))]. given #6736 (H,wt=16): 7634 K(x \ y,K(x,z)) != u | K(y,K(x,z)) = u. [para(7431(a,2),7430(a,1))]. given #6737 (H,wt=16): 7636 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7400(a,2),7466(a,1))]. given #6738 (H,wt=16): 7637 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7423(a,2),7466(a,1))]. given #6739 (H,wt=16): 7638 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(5211(a,2),7473(a,1,2))]. given #6740 (H,wt=16): 7642 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(7507(a,2),7473(a,1))]. given #6741 (H,wt=16): 7643 T(x,K(y \ (y / (x \ 1)),y)) != z | z = x. [para(3147(a,1),7497(a,1,1))]. given #6742 (H,wt=16): 7645 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(115(a,1),7585(a,1,2,1))]. given #6743 (H,wt=16): 7648 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(6563(a,1),7585(a,1))]. given #6744 (H,wt=16): 7649 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(6590(a,1),7585(a,1))]. given #6745 (H,wt=16): 7652 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7136(a,1),7585(a,1))]. given #6746 (H,wt=16): 7654 K(x,T(T(y,z),z \ 1)) != u | K(x,y) = u. [para(7576(a,2),7585(a,1))]. given #6747 (H,wt=16): 7657 T(K(x,y),T(T(x,z),u)) != w | K(x,y) = w. [para(6566(a,1),7646(a,1,1))]. given #6748 (H,wt=16): 7662 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),7647(a,1,2))]. given #6749 (H,wt=16): 7664 K(T(x,y \ 1),z) != u | K(x,T(z,y)) = u. [para(6023(a,1),7647(a,1))]. given #6750 (H,wt=16): 7700 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7695(a,2),7502(a,1))]. given #6751 (H,wt=16): 7703 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(7697(a,2),7502(a,1))]. given #6752 (H,wt=16): 7736 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(7486(a,1),7394(a,1))]. given #6753 (H,wt=16): 7739 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(7548(a,2),7616(a,1))]. given #6754 (H,wt=16): 7742 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(7428(a,1),7642(a,1))]. given #6755 (H,wt=16): 7746 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(6559(a,2),7649(a,1))]. given #6756 (H,wt=16): 7747 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(771(a,1),7652(a,1,2))]. given #6757 (H,wt=16): 7750 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(1247(a,1),7654(a,1,2))]. given #6758 (H,wt=16): 7751 K(x,y / (1 / z)) != u | K(x,y * z) = u. [para(1321(a,1),7654(a,1,2))]. given #6759 (H,wt=16): 7752 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(6559(a,1),7664(a,1))]. given #6760 (H,wt=16): 7753 K(x,y \ z) != u | K(x,(1 / y) * z) = u. [para(65(a,1),7750(a,1,2,1))]. given #6761 (H,wt=16): 7756 K(x,y / z) != u | K(x,y * (z \ 1)) = u. [para(4239(a,1),7750(a,1))]. given #6762 (H,wt=17): 7343 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7291(a,1),6007(a,1,1))]. given #6763 (H,wt=17): 7345 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(72,a,7294,a(flip),b,5791,a)]. given #6764 (H,wt=17): 7357 ((x \ y) / T(x,z)) * x = T(y / T(x,z),x). [hyper(227,a,6633,a,b,7352,a),flip(a)]. given #6765 (H,wt=15): 7761 (T(x,y) \ y) / x = (x \ y) / T(x,y). [hyper(73,a,1254,a(flip),b,7357,a)]. given #6766 (H,wt=15): 7762 T(x \ y,y) / x = (x \ y) / T(x,y). [para(1221(a,1),7761(a,1,1))]. given #6767 (H,wt=17): 7375 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(7372(a,1),4996(a,2,2))]. given #6768 (H,wt=15): 7763 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(227,a,4996,a,b,7375,a)]. given #6769 (H,wt=15): 7764 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),7763(a,1,2,1)),flip(a)]. given #6770 (H,wt=17): 7390 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7386(a,1),2474(a,1,2)),flip(a)]. given #6771 (H,wt=17): 7392 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(227,a,6054,a(flip),b,7391,a(flip)),flip(a)]. given #6772 (H,wt=17): 7444 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7433(a,1),4948(a,1,1))]. given #6773 (H,wt=17): 7463 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(7434(a,2),6653(a,1,2))]. given #6774 (H,wt=17): 7469 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7442(a,1),6421(a,1,1))]. given #6775 (H,wt=17): 7482 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [para(7376(a,2),7424(a,1,2))]. given #6776 (H,wt=17): 7511 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(7376(a,2),7481(a,1,2))]. given #6777 (H,wt=17): 7514 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7492(a,1),6513(a,1,1))]. given #6778 (H,wt=17): 7534 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(227,a,6589,a,b,7522,a(flip)),flip(a)]. given #6779 (H,wt=17): 7541 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(40(a,2),7526(a,1,1))]. given #6780 (H,wt=17): 7542 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7526(a,1,2))]. given #6781 (H,wt=17): 7543 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),7526(a,1,2))]. given #6782 (H,wt=17): 7553 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5024(a,1),7526(a,1,1)),flip(a)]. given #6783 (H,wt=17): 7554 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7526(a,1),5367(a,1,1)),flip(a)]. given #6784 (H,wt=17): 7564 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6666(a,1),7515(a,1,1))]. given #6785 (H,wt=15): 7777 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(227,a,6511,a(flip),b,7564,a)]. given #6786 (H,wt=17): 7565 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7189,a,7517,a)]. given #6787 (H,wt=17): 7570 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(227,a,6027,a(flip),b,7527,a(flip)),flip(a)]. given #6788 (H,wt=17): 7582 K(x \ y,(1 / z) \ x) = K(y / x,x * z). [para(1209(a,1),7532(a,1,2))]. given #6789 (H,wt=17): 7584 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(2524(a,1),7533(a,1,1))]. given #6790 (H,wt=17): 7595 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(6559(a,1),7550(a,1,1,2))]. given #6791 (H,wt=17): 7601 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(178(a,1),7597(a,1,2,1))]. given #6792 (H,wt=17): 7611 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(38(a,1),7568(a,2,2))]. given #6793 (H,wt=17): 7612 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7139(a,1),7568(a,1,1))]. given #6794 (H,wt=17): 7625 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [para(1572(a,1),7622(a,1,2)),flip(a)]. given #6795 (H,wt=17): 7650 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(6595(a,1),7585(a,1))]. given #6796 (H,wt=17): 7668 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(227,a,7531,a,b,7407,a)]. given #6797 (H,wt=17): 7683 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7459(a,1),5747(a,1,2)),flip(a)]. given #6798 (H,wt=17): 7684 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(227,a,7431,a(flip),b,7461,a(flip))]. given #6799 (H,wt=17): 7685 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7113(a,1),7461(a,2,2))]. given #6800 (H,wt=17): 7698 T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)). [para(7694(a,1),7499(a,1,1))]. given #6801 (H,wt=17): 7702 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7696(a,1),7499(a,1,1))]. given #6802 (H,wt=17): 7709 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(7708(a,1),7499(a,1,1))]. given #6803 (H,wt=17): 7730 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(7720(a,1),7499(a,1,1)),flip(a)]. given #6804 (H,wt=17): 7749 K(x,T(y,L(y,z,u) \ 1)) != w | K(x,y) = w. [para(264(a,1),7654(a,1,2,1))]. given #6805 (H,wt=17): 7765 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7764(a,1),6239(a,1,2))]. given #6806 (H,wt=17): 7766 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6497(a,2),7444(a,1,2))]. given #6807 (H,wt=17): 7768 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7430,a,7482,a)]. given #6808 (H,wt=17): 7778 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5204(a,1),7777(a,1,1))]. given #6809 (H,wt=17): 7779 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(227,a,7207,a(flip),b,7570,a)]. given #6810 (H,wt=17): 7786 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(2512,a,7709,a)]. given #6811 (H,wt=18): 7256 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7247(a,1),525(a,1,2))]. given #6812 (H,wt=18): 7258 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(472(a,1),7257(a,1,2))]. given #6813 (H,wt=18): 7263 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5508(a,1),7262(a,1,2,1))]. given #6814 (H,wt=18): 7265 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5625(a,1),7264(a,1,2,2))]. given #6815 (H,wt=18): 7270 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7248(a,2),5632(a,1))]. given #6816 (H,wt=18): 7307 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(227,a,5935,a,b,7272,a(flip)),flip(a)]. given #6817 (H,wt=16): 7797 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7272(a,1),7307(a,1,1))]. given #6818 (H,wt=18): 7316 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7306(a,1),7247(a,1,1)),flip(a)]. given #6819 (H,wt=16): 7799 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(227,a,7247,a(flip),b,7316,a)]. given #6820 (H,wt=18): 7318 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7308(a,1,2))]. given #6821 (H,wt=18): 7320 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(219(a,1),7312(a,1,2))]. given #6822 (H,wt=18): 7321 K(x,y \ (x * z)) != u | K(x,(x \ y) \ z) = u. [para(479(a,1),7312(a,1,2))]. given #6823 (H,wt=18): 7347 T(x,y \ (x * z)) != u | T(x,(y / x) \ z) = u. [para(7301(a,1),7146(a,1))]. given #6824 (H,wt=18): 7365 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7362(a,2),7028(a,1))]. given #6825 (H,wt=18): 7369 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(102(a,1),7273(a,2,2))]. given #6826 (H,wt=18): 7371 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(479(a,1),7273(a,2,2))]. given #6827 (H,wt=18): 7381 L(K(x,y * x),y,z) = K(x,u \ ((u * y) * x)). [hyper(227,a,5932,a,b,7380,a),flip(a)]. given #6828 (H,wt=18): 7416 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7399(a,1),5001(a,1,2))]. given #6829 (H,wt=18): 7417 K(x,K(y,z)) * K(x,y) != u | T(K(x,y),z) = u. [para(7399(a,1),5005(a,1,1))]. given #6830 (H,wt=18): 7471 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7442(a,1),6693(a,1,1))]. given #6831 (H,wt=18): 7493 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7486(a,1),439(a,1,1))]. given #6832 (H,wt=18): 7494 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(7486(a,1),439(a,1))]. given #6833 (H,wt=18): 7495 T(K(x,y) \ z,K(x,y)) != u | z * K(y,x) = u. [para(7486(a,1),5131(a,1))]. given #6834 (H,wt=18): 7498 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(7486(a,1),6481(a,1))]. given #6835 (H,wt=18): 7500 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(7487(a,1),169(a,1,2)),flip(b)]. given #6836 (H,wt=18): 7519 x * K(y,z) != x * u | T(T(K(y,z),x),x) = u. [para(7501(a,1),167(a,2)),flip(a)]. given #6837 (H,wt=18): 7566 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7517(a,1),6313(a,1))]. given #6838 (H,wt=18): 7575 K(x / y,z / x) != u | K(y \ x,x \ z) = u. [para(7529(a,1),6313(a,1))]. given #6839 (H,wt=18): 7635 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(6559(a,1),7446(a,1,2))]. given #6840 (H,wt=18): 7640 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(6559(a,1),7473(a,1,2))]. given #6841 (H,wt=18): 7644 T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. [para(6477(a,1),7497(a,1,1)),flip(b)]. given #6842 (H,wt=18): 7658 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),7647(a,1,2))]. given #6843 (H,wt=18): 7671 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7407(a,1),19(a,1))]. given #6844 (H,wt=18): 7675 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7411(a,2),6558(a,1))]. given #6845 (H,wt=18): 7690 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(7484(a,1),7473(a,1))]. given #6846 (H,wt=18): 7692 x * K(y,z) != u | T(K(z,y) \ x,K(y,z)) = u. [para(7491(a,1),7502(a,1))]. given #6847 (H,wt=18): 7726 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7682(a,1),6499(a,1,1)),flip(b)]. given #6848 (H,wt=18): 7728 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(7713(a,1),293(a,1,1)),flip(b)]. given #6849 (H,wt=18): 7741 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(6017(a,2),7636(a,1,2))]. given #6850 (H,wt=18): 7743 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6560(a,2),7648(a,1))]. given #6851 (H,wt=18): 7744 K(T(x,y) \ z,x) != u | K(z / T(x,y),x) = u. [para(186(a,1),7649(a,1,2))]. given #6852 (H,wt=18): 7772 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7534(a,1),7012(a,1,1,1))]. given #6853 (H,wt=18): 7792 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6500,a,7256,a)]. given #6854 (H,wt=18): 7793 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(72,a,7256,a(flip),b,6497,a(flip))]. given #6855 (H,wt=18): 7801 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(7242(a,1),7365(a,1))]. given #6856 (H,wt=18): 7802 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7356(a,1),7365(a,1))]. given #6857 (H,wt=18): 7808 L(K(x,x * y),y,z) = K(x,u \ ((u * y) * x)). [para(5344(a,1),7381(a,1,1))]. given #6858 (H,wt=19): 7234 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(227,a,6603,a(flip),b,7233,a(flip))]. given #6859 (H,wt=19): 7253 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7250(a,1),100(a,1,2))]. given #6860 (H,wt=19): 7254 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7251(a,1),100(a,1,2))]. given #6861 (H,wt=19): 7268 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(219(a,1),7266(a,1,1))]. given #6862 (H,wt=15): 7820 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(227,a,6979,a(flip),b,7268,a)]. given #6863 (H,wt=15): 7822 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(5199(a,1),7820(a,1,1,1,2))]. given #6864 (H,wt=15): 7823 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(6509(a,1),7820(a,1,1,1)),flip(a)]. given #6865 (H,wt=19): 7297 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7276(a,1),100(a,1,2))]. given #6866 (H,wt=19): 7319 K(x,L(L(y,z,x),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(45(a,1),7312(a,1,2))]. given #6867 (H,wt=19): 7327 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7326(a,1),500(a,1,1,1)),flip(a)]. given #6868 (H,wt=12): 7828 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(464,a,7327,a)]. given #6869 (H,wt=19): 7337 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7331(a,1),500(a,1,1,1)),flip(a)]. given #6870 (H,wt=12): 7829 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(464,a,7337,a)]. given #6871 (H,wt=19): 7339 x \ (y * T(K(z,x),u)) = (x \ y) * T(K(z,x),u). [para(7330(a,1),491(a,1,1))]. given #6872 (H,wt=19): 7341 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(7332(a,1),109(a,1,1)),flip(a)]. given #6873 (H,wt=12): 7831 L(K(x,y),z,x \ 1) = K(x,y). [hyper(464,a,7341,a)]. given #6874 (H,wt=12): 7833 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(227,a,7272,a(flip),b,7831,a(flip)),flip(a)]. given #6875 (H,wt=19): 7348 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(227,a,6727,a,b,7314,a(flip)),flip(a)]. given #6876 (H,wt=19): 7350 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7314(a,1),6347(a,2,2))]. given #6877 (H,wt=19): 7367 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(102(a,1),7366(a,1,2))]. given #6878 (H,wt=19): 7373 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(219(a,1),7368(a,1,2))]. given #6879 (H,wt=19): 7412 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7398(a,1),6737(a,1,1))]. given #6880 (H,wt=19): 7413 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7398(a,1),6859(a,1,1))]. given #6881 (H,wt=19): 7418 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7399(a,1),5626(a,2,1))]. given #6882 (H,wt=17): 7839 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5630(a,1),7418(a,1,1)),flip(a)]. given #6883 (H,wt=19): 7419 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7399(a,1),5918(a,1,2))]. given #6884 (H,wt=19): 7425 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(227,a,5624,a,b,7401,a(flip)),flip(a)]. given #6885 (H,wt=17): 7841 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7449(a,1),7425(a,1,1))]. given #6886 (H,wt=17): 7842 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(7453(a,1),7425(a,1,1))]. given #6887 (H,wt=17): 7843 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(227,a,7841,a(flip),b,7842,a(flip))]. given #6888 (H,wt=17): 7844 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(227,a,7839,a(flip),b,7842,a(flip)),flip(a)]. given #6889 (H,wt=17): 7845 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(7430,a,7843,a)]. given #6890 (H,wt=17): 7846 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(227,a,7428,a,b,7844,a)]. given #6891 (H,wt=17): 7848 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(227,a,7428,a,b,7845,a)]. given #6892 (H,wt=18): 7853 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(956(a,1),7848(a,1,2,2)),flip(a)]. given #6893 (H,wt=19): 7462 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7434(a,2),6515(a,1,1,2))]. given #6894 (H,wt=19): 7509 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(7480(a,1),6230(a,1,1))]. given #6895 (H,wt=19): 7510 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7480(a,1),6487(a,1,2))]. given #6896 (H,wt=19): 7513 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5514(a,2),7485(a,1,2))]. given #6897 (H,wt=19): 7523 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7516(a,1),176(a,1,2,1)),flip(a)]. given #6898 (H,wt=19): 7524 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7516(a,1),177(a,1,2,1)),flip(a)]. given #6899 (H,wt=19): 7525 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7516(a,1),194(a,1,2,2,1))]. given #6900 (H,wt=17): 7858 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(2740,a,7525,a)]. given #6901 (H,wt=19): 7530 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7518(a,1),177(a,1,2,1)),flip(a)]. given #6902 (H,wt=19): 7549 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(2309(a,1),7526(a,1,1)),flip(a)]. given #6903 (H,wt=17): 7862 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(227,a,7612,a(flip),b,7549,a(flip))]. given #6904 (H,wt=17): 7863 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(13(a,1),7862(a,1,2,2)),flip(a)]. given #6905 (H,wt=19): 7574 K(x * y,(x \ 1) / y) = ((y \ x) * (1 / x)) * y. [hyper(227,a,3937,a(flip),b,7529,a(flip))]. given #6906 (H,wt=19): 7580 K((x \ y) * y,T(z,y \ x)) = K(y / (y \ x),z). [para(961(a,1),7532(a,1,1))]. given #6907 (H,wt=19): 7593 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(1482(a,2),7545(a,1,2))]. given #6908 (H,wt=19): 7596 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(7551(a,1),5274(a,1,2,2)),flip(a)]. given #6909 (H,wt=19): 7598 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5037(a,1),7552(a,1,2,2)),flip(a)]. given #6910 (H,wt=19): 7608 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7555(a,1),7203(a,1,2,2,1)),flip(a)]. given #6911 (H,wt=19): 7620 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(1482(a,2),7600(a,1,2))]. given #6912 (H,wt=19): 7653 K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. [para(7293(a,1),7585(a,1))]. given #6913 (H,wt=19): 7674 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(6564(a,1),7410(a,1,1,2)),flip(a)]. given #6914 (H,wt=15): 7872 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(227,a,7410,a(flip),b,7674,a)]. given #6915 (H,wt=19): 7676 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7037(a,1),7411(a,1,2,2)),flip(a)]. given #6916 (H,wt=15): 7874 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(227,a,7411,a(flip),b,7676,a)]. given #6917 (H,wt=18): 7875 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(7676(a,2),7416(a,1))]. given #6918 (H,wt=19): 7680 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(6559(a,1),7437(a,1,2,2))]. given #6919 (H,wt=19): 7686 K(x,y / z) * K(x,K(y,y / z)) = K(x,z \ y). [hyper(227,a,6012,a(flip),b,7464,a)]. given #6920 (H,wt=19): 7704 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(227,a,7489,a(flip),b,7701,a(flip))]. given #6921 (H,wt=19): 7715 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(6562(a,1),7607(a,1,1))]. given #6922 (H,wt=19): 7717 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(7716(a,1),7496(a,1,1))]. given #6923 (H,wt=19): 7725 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(6340(a,1),7681(a,1,2,2)),flip(a)]. given #6924 (H,wt=19): 7727 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(73,a,245,a(flip),b,7713,a)]. given #6925 (H,wt=19): 7729 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7087(a,1),7714(a,1,1,2)),flip(a)]. given #6926 (H,wt=15): 7879 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(227,a,7714,a(flip),b,7729,a)]. given #6927 (H,wt=19): 7733 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(6555(a,1),7724(a,1,2))]. given #6928 (H,wt=19): 7738 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(479(a,1),7737(a,1,2,2)),flip(a)]. given #6929 (H,wt=19): 7782 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(7649,a,7584,a)]. given #6930 (H,wt=16): 7882 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(7653,a,7782,a(flip))]. given #6931 (H,wt=13): 7883 K(T(x * y,y) / x,z) = K(y,z). [hyper(7304,a,7882,a),flip(a)]. given #6932 (H,wt=15): 7884 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),7883(a,1,1,1,1))]. given #6933 (H,wt=19): 7783 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(7538(a,1),7595(a,1,1,2))]. given #6934 (H,wt=17): 7885 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(227,a,7595,a(flip),b,7783,a(flip))]. given #6935 (H,wt=17): 7886 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(7626(a,1),7885(a,1,2))]. given #6936 (H,wt=19): 7790 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(6438,a,7778,a)]. given #6937 (H,wt=19): 7795 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(100(a,1),7265(a,1,2))]. given #6938 (H,wt=19): 7817 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(166,a,7253,a,b,5726,a)]. given #6939 (H,wt=19): 7824 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7792(a,1),7820(a,1,1,1)),flip(a)]. given #6940 (H,wt=19): 7826 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(7822(a,1),6454(a,1,1,2)),flip(a)]. given #6941 (H,wt=15): 7890 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(227,a,6454,a(flip),b,7826,a)]. given #6942 (H,wt=15): 7892 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(92(a,1),7890(a,1,2,1))]. given #6943 (H,wt=15): 7893 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(5202(a,1),7890(a,1,2,1,2))]. given #6944 (H,wt=15): 7895 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5999(a,1),7890(a,1,2,1)),flip(a)]. given #6945 (H,wt=15): 7898 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(227,a,7314,a(flip),b,7892,a)]. given #6946 (H,wt=17): 7900 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(7893(a,1),4996(a,2,2))]. given #6947 (H,wt=15): 7903 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(227,a,4996,a,b,7900,a)]. given #6948 (H,wt=15): 7904 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(6509(a,1),7903(a,1,2,1)),flip(a)]. given #6949 (H,wt=15): 7906 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(227,a,7367,a(flip),b,7904,a(flip))]. given #6950 (H,wt=15): 7908 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4942(a,1),7906(a,1,2,2))]. given #6951 (H,wt=15): 7909 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4948(a,1),7906(a,1,2,2))]. given #6952 (H,wt=15): 7913 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(227,a,7346,a,b,7909,a),flip(a)]. given #6953 (H,wt=17): 7912 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(7908(a,1),7765(a,1,2)),flip(a)]. given #6954 (H,wt=17): 7916 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(7300(a,2),7912(a,1,2))]. given #6955 (H,wt=17): 7917 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(6710,a,7916,a),flip(a)]. given #6956 (H,wt=17): 7918 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(227,a,5596,a,b,7917,a)]. given #6957 (H,wt=17): 7919 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(227,a,5596,a,b,7918,a(flip)),flip(a)]. given #6958 (H,wt=17): 7920 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(13(a,1),7919(a,1,2,2)),flip(a)]. given #6959 (H,wt=18): 7891 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(7826(a,2),6517(a,1))]. given #6960 (H,wt=18): 7894 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5625(a,1),7890(a,1,2,1,2))]. given #6961 (H,wt=18): 7899 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(7892(a,2),7320(a,1))]. given #6962 (H,wt=18): 7921 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(5139(a,1),7891(a,1,2,1))]. given #6963 (H,wt=15): 7927 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(7921,a,7315,a)]. given #6964 (H,wt=18): 7922 K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. [para(5994(a,1),7891(a,1,2,1))]. given #6965 (H,wt=18): 7928 K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. [para(7315(a,1),7921(a,1))]. given #6966 (H,wt=19): 7830 x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). [para(6555(a,2),7339(a,1,2,2))]. given #6967 (H,wt=19): 7832 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(227,a,7371,a(flip),b,7831,a(flip))]. given #6968 (H,wt=19): 7835 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(227,a,7198,a(flip),b,7350,a(flip))]. given #6969 (H,wt=19): 7838 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(17,a,5724,a,b,7413,a)]. given #6970 (H,wt=19): 7840 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6496(a,1),7419(a,1,1)),flip(a)]. given #6971 (H,wt=19): 7857 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(42(a,1),7524(a,1,1))]. given #6972 (H,wt=19): 7859 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(5369,a,7858,a),flip(a)]. given #6973 (H,wt=17): 7935 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(17,a,4996,a(flip),b,7859,a)]. given #6974 (H,wt=17): 7936 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(227,a,7846,a(flip),b,7935,a(flip))]. given #6975 (H,wt=17): 7937 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(227,a,7848,a,b,7936,a)]. given #6976 (H,wt=19): 7864 K(x * y,x \ (1 / y)) = ((y \ x) * (1 / x)) * y. [para(318(a,1),7574(a,1,2))]. given #6977 (H,wt=19): 7869 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(227,a,6133,a,b,7598,a(flip)),flip(a)]. given #6978 (H,wt=17): 7940 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5047,a,7869,a)]. given #6979 (H,wt=19): 7871 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),7620(a,2,2))]. given #6980 (H,wt=19): 7873 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6525(a,1),7872(a,1,2))]. given #6981 (H,wt=15): 7943 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(227,a,7874,a(flip),b,7873,a)]. given #6982 (H,wt=15): 7945 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6497(a,1),7943(a,1,2))]. given #6983 (H,wt=19): 7877 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(227,a,7521,a(flip),b,7717,a)]. given #6984 (H,wt=17): 7946 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(5796,a,7877,a)]. given #6985 (H,wt=17): 7947 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7398(a,1),7946(a,1,1))]. given #6986 (H,wt=17): 7948 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7434(a,2),7946(a,1,1))]. given #6987 (H,wt=19): 7880 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6410(a,1),7879(a,1,2,1)),flip(a)]. given #6988 (H,wt=19): 7888 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(5660,a,7817,a),flip(a)]. given #6989 (H,wt=19): 7896 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6386(a,1),7890(a,1,2,1)),flip(a)]. given #6990 (H,wt=19): 7897 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(6592(a,1),7890(a,1,2,1,2))]. given #6991 (H,wt=19): 7905 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7792(a,1),7903(a,1,2,1)),flip(a)]. given #6992 (H,wt=19): 7910 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5807(a,1),7906(a,1,2,2))]. given #6993 (H,wt=19): 7925 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(100(a,1),7894(a,1,2,1))]. given #6994 (H,wt=19): 7938 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7272(a,1),7937(a,1,2)),flip(a)]. given #6995 (H,wt=19): 7952 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(7888(a,2),6454(a,1,1))]. given #6996 (H,wt=19): 7955 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(5994(a,1),7925(a,1,2,1,2))]. given #6997 (H,wt=19): 7956 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(227,a,7843,a,b,7938,a(flip)),flip(a)]. given #6998 (H,wt=19): 7957 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6496(a,1),7952(a,1,1,1))]. given #6999 (H,wt=19): 7958 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(7957(a,1),14(a,1,2)),flip(a)]. given #7000 (H,wt=17): 7959 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(227,a,7683,a(flip),b,7958,a)]. given #7001 (H,wt=20): 5922 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(227,a,5709,a(flip),b,5914,a(flip)),flip(a)]. given #7002 (H,wt=20): 6006 T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. [para(5949(a,1),167(a,2))]. given #7003 (H,wt=20): 6110 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(110(a,2),6016(a,1,2,1))]. given #7004 (H,wt=18): 7963 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(227,a,6111,a(flip),b,6110,a(flip)),flip(a)]. given #7005 (H,wt=18): 7965 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),7963(a,2,2,2))]. given #7006 (H,wt=15): 7968 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(227,a,6913,a(flip),b,7965,a(flip))]. given #7007 (H,wt=15): 7970 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(227,a,7045,a(flip),b,7968,a)]. given #7008 (H,wt=18): 7966 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(62(a,1),7963(a,1,1,2)),flip(a)]. given #7009 (H,wt=15): 7971 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(107(a,2),7966(a,1,2))]. given #7010 (H,wt=15): 7973 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),7971(a,1,2,2)),flip(a)]. given #7011 (H,wt=10): 7978 K(x,R(y,z,x)) = K(x,y). [hyper(227,a,6913,a(flip),b,7973,a(flip))]. given #7012 (H,wt=12): 7979 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(227,a,6865,a(flip),b,7973,a(flip))]. given #7013 (H,wt=12): 7987 T(x,R(y,z,x)) = x * K(x,y). [para(7978(a,1),4996(a,2,2))]. given #7014 (H,wt=10): 7990 T(x,R(y,z,x)) = T(x,y). [hyper(227,a,4996,a,b,7987,a)]. given #7015 (H,wt=14): 7980 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(227,a,5857,a(flip),b,7973,a(flip))]. given #7016 (H,wt=14): 7988 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(7973(a,1),7978(a,1,2))]. given #7017 (H,wt=14): 7989 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(7979(a,1),4996(a,2,2))]. given #7018 (H,wt=12): 8001 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(227,a,4996,a,b,7989,a)]. given #7019 (H,wt=15): 7986 K(x,(y / x) / z) = K(x,y / (z * x)). [para(226(a,1),7978(a,1,2)),flip(a)]. given #7020 (H,wt=15): 7994 T(x,(y * x) / z) = T(x,y / (z / x)). [para(514(a,1),7990(a,1,2))]. given #7021 (H,wt=15): 8003 K(x,(x \ y) / z) = K(x,y / (z * x)). [hyper(227,a,7057,a(flip),b,7986,a(flip)),flip(a)]. given #7022 (H,wt=15): 8004 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(227,a,7093,a(flip),b,7994,a)]. given #7023 (H,wt=15): 8005 K(x,(x * y) / (z * x)) = K(x,y / z). [para(13(a,1),8003(a,1,2,1)),flip(a)]. given #7024 (H,wt=15): 8006 K(x,(x \ y) / (z / x)) = K(x,y / z). [para(16(a,1),8003(a,2,2,2))]. given #7025 (H,wt=15): 8007 K(x,(x \ y) / (x \ z)) = K(x,y / z). [hyper(7067,a,8006,a)]. given #7026 (H,wt=15): 8008 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(227,a,8003,a(flip),b,8007,a(flip)),flip(a)]. given #7027 (H,wt=15): 8009 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(13(a,1),8007(a,1,2,1)),flip(a)]. given #7028 (H,wt=15): 8010 K(x,y / (z * x)) = K(x,y / (x * z)). [para(13(a,1),8008(a,1,2,2,1))]. given #7029 (H,wt=15): 8011 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(227,a,7970,a,b,8009,a),flip(a)]. given #7030 (H,wt=16): 7977 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(227,a,7044,a(flip),b,7973,a(flip))]. given #7031 (H,wt=12): 8014 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(227,a,7040,a(flip),b,7977,a)]. given #7032 (H,wt=17): 7972 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(227,a,6917,a(flip),b,7971,a(flip)),flip(a)]. given #7033 (H,wt=17): 7974 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(32(a,2),7971(a,1,2,2)),flip(a)]. given #7034 (H,wt=17): 7995 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(739(a,1),7990(a,1,2))]. given #7035 (H,wt=15): 8021 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(227,a,7124,a(flip),b,7995,a(flip)),flip(a)]. given #7036 (H,wt=15): 8022 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(227,a,7104,a(flip),b,8021,a)]. given #7037 (H,wt=17): 8013 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(8011(a,1),4996(a,2,2)),flip(a)]. given #7038 (H,wt=17): 8017 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(994,a,7972,a)]. given #7039 (H,wt=17): 8018 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7972(a,1),14(a,1,2))]. given #7040 (H,wt=17): 8020 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(7972(a,1),950(a,1,1)),flip(a)]. given #7041 (H,wt=18): 7969 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5217(a,1),7965(a,1,1))]. given #7042 (H,wt=15): 8027 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(227,a,5857,a(flip),b,7969,a(flip))]. given #7043 (H,wt=15): 8029 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(227,a,6253,a(flip),b,8027,a)]. given #7044 (H,wt=15): 8030 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(227,a,8011,a,b,8027,a(flip)),flip(a)]. given #7045 (H,wt=15): 8031 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(227,a,8009,a(flip),b,8027,a(flip)),flip(a)]. given #7046 (H,wt=15): 8032 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(227,a,8011,a,b,8029,a(flip)),flip(a)]. given #7047 (H,wt=15): 8037 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8031(a,1,2,2)),flip(a)]. given #7048 (H,wt=17): 8033 x * K(x,x * (y / z)) = T(x,(y * x) / z). [para(8029(a,1),8013(a,1,2))]. given #7049 (H,wt=17): 8034 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(7588,a,8030,a)]. given #7050 (H,wt=17): 8035 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(227,a,7565,a,b,8030,a(flip)),flip(a)]. given #7051 (H,wt=18): 8012 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(110(a,2),8010(a,2,2)),flip(a)]. given #7052 (H,wt=18): 8016 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8014(a,1,2))]. given #7053 (H,wt=18): 8023 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(102(a,2),8022(a,1,2))]. given #7054 (H,wt=18): 8024 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [para(109(a,1),8017(a,1,2))]. given #7055 (H,wt=18): 8025 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(552,a,8020,a)]. given #7056 (H,wt=18): 8028 R(K(x,(y / z) \ x),x,u) = K(x,(x * z) / y). [hyper(227,a,5857,a,b,8027,a),flip(a)]. given #7057 (H,wt=18): 8039 T(x,(y * x) / z) != u | T(x,x * (y / z)) = u. [para(8033(a,1),5001(a,1))]. given #7058 (H,wt=18): 8040 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(227,a,5121,a(flip),b,8012,a(flip)),flip(a)]. given #7059 (H,wt=18): 8042 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(8028(a,1),372(a,1)),flip(b)]. given #7060 (H,wt=18): 8043 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8011(a,2),8042(a,1))]. given #7061 (H,wt=19): 7981 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(227,a,5507,a(flip),b,7973,a(flip)),flip(a)]. given #7062 (H,wt=19): 7982 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(7973(a,1),42(a,2,1))]. given #7063 (H,wt=19): 7996 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(868(a,1),7990(a,1,2))]. given #7064 (H,wt=19): 8036 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8031,a)]. given #7065 (H,wt=15): 8048 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(6242,a,8036,a)]. given #7066 (H,wt=15): 8049 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(227,a,8004,a,b,8048,a(flip)),flip(a)]. given #7067 (H,wt=15): 8050 T(x,(y / z) \ x) = T(x,x * (z / y)). [hyper(8039,a,8049,a),flip(a)]. given #7068 (H,wt=15): 8051 T(x,(y / (z * y)) \ x) = T(x,x * z). [para(15(a,1),8050(a,2,2,2))]. given #7069 (H,wt=19): 8046 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(227,a,6555,a,b,7982,a)]. given #7070 (H,wt=19): 8047 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(227,a,7880,a(flip),b,7996,a)]. given #7071 (H,wt=19): 8052 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),8046(a,2,2))]. given #7072 (H,wt=19): 8053 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(6555(a,2),8052(a,1,1))]. given #7073 (H,wt=19): 8054 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8053(a,1,2)),flip(a)]. given #7074 (H,wt=16): 8056 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(227,a,367,a(flip),b,8054,a)]. given #7075 (H,wt=16): 8057 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(227,a,6555,a(flip),b,8056,a)]. given #7076 (H,wt=20): 6135 R(x,y / z,z * (y \ 1)) = T(T(x,y / z),z / y). [hyper(227,a,2295,a(flip),b,6039,a(flip)),flip(a)]. given #7077 (H,wt=19): 8058 R(x,y / z,z * (y \ 1)) = L(x,z / y,z / y). [hyper(227,a,6360,a(flip),b,6135,a)]. given #7078 (H,wt=20): 6164 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5104(a,1),6151(a,1,2,1))]. given #7079 (H,wt=20): 6255 K(x,x \ (y \ 1)) != z | y * (x * ((y \ 1) / x)) = z. [para(6218(a,1),301(a,1))]. given #7080 (H,wt=20): 6281 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6212(a,1),6069(a,1,1))]. given #7081 (H,wt=20): 6283 T(x,y * (z \ (u \ 1))) != w | T(x,y / (u * z)) = w. [para(123(a,1),6123(a,1,2,2))]. given #7082 (H,wt=20): 6320 K(L(x,y,z) / u,x) != w | K(u \ L(x,y,z),x) = w. [para(2961(a,1),6313(a,1))]. given #7083 (H,wt=20): 6330 T(x,y) * z != x * (K(u,x) * K(x,y)) | K(u,x) = z. [para(5801(a,2),19(a,1)),flip(a)]. given #7084 (H,wt=20): 6352 x * K(y,z \ x) != x * u | T(K(y,x / z),x) = u. [para(6348(a,1),167(a,2)),flip(a)]. given #7085 (H,wt=20): 6357 (K(x,y) * K(y,z)) * y != u * K(x,y) | T(y,z) = u. [para(6077(a,2),20(a,1))]. given #7086 (H,wt=20): 6373 (x / R(y,z,y)) * y != u | y * (R(y,z,y) \ x) = u. [para(6224(a,1),207(a,1,1)),flip(b)]. given #7087 (H,wt=20): 6403 ((x * y) / x) \ (y * z) != u | T(y,x) * (y \ z) = u. [para(6396(a,2),6298(a,1))]. given #7088 (H,wt=20): 6467 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(6443(a,2),100(a,1,1))]. given #7089 (H,wt=20): 6468 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(6443(a,1),219(a,1,1,2))]. given #7090 (H,wt=19): 8061 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [para(6468(a,1),7296(a,1,1))]. given #7091 (H,wt=15): 8063 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(227,a,7823,a(flip),b,8061,a(flip))]. given #7092 (H,wt=15): 8066 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5199(a,1),8063(a,1,1,2,1))]. given #7093 (H,wt=15): 8070 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7515(a,1),8063(a,1,1,2))]. given #7094 (H,wt=17): 8067 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5788(a,1),8063(a,1,1,2)),flip(a)]. given #7095 (H,wt=17): 8072 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5467(a,1),8066(a,1,1,2))]. given #7096 (H,wt=19): 8062 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(6468(a,1),7308(a,1,2))]. given #7097 (H,wt=15): 8076 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(7922,a,8062,a),flip(a)]. given #7098 (H,wt=15): 8078 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4948(a,1),8076(a,1,2,2)),flip(a)]. given #7099 (H,wt=15): 8081 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(7555(a,1),8076(a,1,2,2)),flip(a)]. given #7100 (H,wt=15): 8082 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(227,a,7927,a,b,8078,a),flip(a)]. given #7101 (H,wt=15): 8083 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(227,a,7315,a,b,8078,a),flip(a)]. given #7102 (H,wt=15): 8084 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(227,a,7376,a(flip),b,8078,a(flip))]. given #7103 (H,wt=15): 8085 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(14(a,1),8078(a,2,2,2))]. given #7104 (H,wt=15): 8089 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(13(a,1),8083(a,1,2,1)),flip(a)]. given #7105 (H,wt=17): 8079 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5788(a,1),8076(a,1,2,2)),flip(a)]. given #7106 (H,wt=17): 8088 K(x,y \ (z \ K(u,x))) = K(x,y \ (z \ 1)). [para(6514(a,1),8081(a,1,2,2))]. given #7107 (H,wt=17): 8090 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [para(1999(a,2),8085(a,1,2,2))]. given #7108 (H,wt=17): 8091 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(8085(a,1),7511(a,1,2)),flip(a)]. given #7109 (H,wt=17): 8092 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [hyper(227,a,7832,a,b,8090,a(flip)),flip(a)]. given #7110 (H,wt=17): 8093 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [para(13(a,1),8092(a,1,2,1)),flip(a)]. given #7111 (H,wt=17): 8094 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(227,a,8085,a(flip),b,8093,a)]. given #7112 (H,wt=18): 8086 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(5625(a,1),8081(a,1,2,2,2))]. given #7113 (H,wt=19): 8069 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7526(a,1),8063(a,1,1,2,1))]. given #7114 (H,wt=19): 8073 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7526(a,1),8070(a,1,1,2,2))]. given #7115 (H,wt=19): 8074 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7792(a,1),8070(a,1,1,2)),flip(a)]. given #7116 (H,wt=19): 8080 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8076(a,1),6555(a,2,1))]. given #7117 (H,wt=19): 8087 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6386(a,1),8081(a,1,2,2)),flip(a)]. given #7118 (H,wt=19): 8095 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(100(a,1),8086(a,1,2,2))]. given #7119 (H,wt=19): 8096 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4948(a,1),8069(a,1,1,2)),flip(a)]. given #7120 (H,wt=17): 8102 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(227,a,7779,a(flip),b,8096,a)]. given #7121 (H,wt=17): 8104 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(227,a,7234,a(flip),b,8102,a(flip))]. given #7122 (H,wt=17): 8105 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(227,a,5282,a(flip),b,8104,a(flip)),flip(a)]. given #7123 (H,wt=17): 8106 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(6168,a,8105,a)]. given #7124 (H,wt=19): 8098 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(227,a,6555,a,b,8080,a)]. given #7125 (H,wt=17): 8107 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5004(a,2),8098(a,1,2,1,2))]. given #7126 (H,wt=19): 8101 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(5994(a,1),8095(a,1,2,2,2))]. given #7127 (H,wt=19): 8108 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [para(4948(a,1),8098(a,1,2,1,2)),flip(a)]. given #7128 (H,wt=17): 8111 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(227,a,8035,a(flip),b,8108,a(flip))]. given #7129 (H,wt=17): 8112 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(227,a,8031,a,b,8111,a)]. given #7130 (H,wt=20): 6469 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(6443(a,1),219(a,1,1))]. given #7131 (H,wt=20): 6485 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(6443(a,1),6207(a,1,2,1))]. given #7132 (H,wt=20): 6527 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6497(a,1),226(a,1,1))]. given #7133 (H,wt=19): 8115 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(227,a,6677,a(flip),b,6527,a(flip))]. given #7134 (H,wt=18): 8117 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5425(a,1),8115(a,1,2)),flip(a)]. given #7135 (H,wt=18): 8118 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5794(a,1),8115(a,1,2)),flip(a)]. given #7136 (H,wt=20): 6532 K(x * K(y,z),u \ 1) != w | K(K(z,y) / x,u) = w. [para(6497(a,1),6315(a,1,1))]. given #7137 (H,wt=20): 6609 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(6565(a,1),6318(a,1))]. given #7138 (H,wt=20): 6617 (x / y) * K(z,y) != u * w | (x / T(y,z)) / w = u. [para(6504(a,1),276(a,1,2))]. given #7139 (H,wt=20): 6618 (x / y) * K(z,y) != u * w | u \ (x / T(y,z)) = w. [para(6504(a,1),392(a,1,2))]. given #7140 (H,wt=20): 6623 K(x,y) * z != u * w | u \ (z * K(x,T(y,z))) = w. [para(6508(a,1),457(a,1))]. given #7141 (H,wt=20): 6642 x \ K(y,z) != K(y,z) * u | T(x \ 1,K(y,z)) = u. [para(6514(a,1),167(a,2)),flip(a)]. given #7142 (H,wt=20): 6674 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(6590(a,1),5005(a,1,1))]. given #7143 (H,wt=20): 6694 K(x \ y,x) * ((y / x) * z) != u | (x \ y) * z = u. [para(6194(a,1),6463(a,1,2)),flip(b)]. given #7144 (H,wt=20): 6698 (K(x,y) * K(z,u)) \ 1 != w | K(u,z) * K(y,x) = w. [para(5104(a,2),6491(a,1))]. given #7145 (H,wt=20): 6717 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(6442(a,1),1942(a,1,1))]. given #7146 (H,wt=13): 8122 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(825,a,6717,a),flip(a)]. given #7147 (H,wt=16): 8123 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(6717(a,1),825(a,1))]. given #7148 (H,wt=20): 6777 ((1 / x) / y) \ K(z,u) != w | (y * x) * K(z,u) = w. [para(325(a,2),6550(a,1,1))]. given #7149 (H,wt=20): 6778 T(x / y,x) \ K(z,u) != w | (x \ y) * K(z,u) = w. [para(642(a,2),6550(a,1,1))]. given #7150 (H,wt=20): 6780 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(137(a,1),6616(a,1,1))]. given #7151 (H,wt=15): 8125 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6780,a,6508,a)]. given #7152 (H,wt=20): 6789 T(x,(x \ y) \ z) != u | T(x,T(z / (x \ y),y)) = u. [para(115(a,1),6767(a,1,2))]. given #7153 (H,wt=17): 8127 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(6789,a,7301,a)]. given #7154 (H,wt=20): 6791 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(132(a,1),6782(a,1,2))]. given #7155 (H,wt=20): 6813 T(x \ (x / y),y) != z | ((x \ (x / y)) \ 1) \ 1 = z. [para(65(a,1),6143(a,1,2))]. given #7156 (H,wt=20): 6834 K(x,y) * z != u * w | T(u,w) = w \ (K(y,x) \ z). [para(113(a,1),6821(a,2)),flip(b)]. given #7157 (H,wt=20): 6853 K(x,y \ R(x,z,u)) != w | K(x,R(x,z,u) / y) = w. [para(6608(a,1),6300(a,1))]. given #7158 (H,wt=20): 6864 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(6805(a,1),5677(a,1,2))]. given #7159 (H,wt=20): 6870 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(6866(a,1),1632(a,1,1)),flip(a)]. given #7160 (H,wt=20): 6885 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(6882(a,1),292(a,1,2)),flip(b)]. given #7161 (H,wt=20): 6886 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(461(a,1),6882(a,1,1))]. given #7162 (H,wt=20): 6887 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6883(a,1),282(a,1,2)),flip(b)]. given #7163 (H,wt=20): 6890 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5994(a,1),6881(a,1,1,2))]. given #7164 (H,wt=20): 6897 T(x,x \ (((x \ 1) * y) \ 1)) != z | T(x,y \ 1) = z. [para(6895(a,1),6126(a,1))]. given #7165 (H,wt=20): 6906 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5239,a,6899,a)]. given #7166 (H,wt=20): 6919 K(x,y) * (z * x) != x * u | T(K(x,y) * z,x) = u. [para(6913(a,1),509(a,1,1))]. given #7167 (H,wt=20): 6938 T(x,y) * T(z,x) != x * u | T(K(x,y) * z,x) = u. [para(6925(a,1),167(a,2)),flip(a)]. given #7168 (H,wt=20): 6951 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(6947(a,2),5799(a,1,2))]. given #7169 (H,wt=20): 6993 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(6963(a,2),5496(a,1,1,1,2))]. given #7170 (H,wt=15): 8131 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(227,a,5682,a(flip),b,6993,a(flip)),flip(a)]. given #7171 (H,wt=14): 8135 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(8131(a,1),6031(a,1,2))]. given #7172 (H,wt=14): 8136 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(42(a,1),8135(a,1,2))]. given #7173 (H,wt=17): 8137 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(2558(a,1),8136(a,1,2,1)),flip(a)]. given #7174 (H,wt=17): 8138 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(7144(a,1),8136(a,1,2,1))]. given #7175 (H,wt=19): 8139 K(x,T(T(y,z) \ 1,u)) = K(x,T(T(y \ 1,z),u)). [para(1566(a,1),8137(a,1,2,1))]. given #7176 (H,wt=20): 7200 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(16(a,1),6910(a,2,1,1))]. given #7177 (H,wt=20): 7202 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(6563(a,1),6910(a,1,1)),flip(a)]. given #7178 (H,wt=20): 7236 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),7233(a,2,1,2))]. given #7179 (H,wt=19): 8142 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(227,a,7828,a(flip),b,7236,a(flip))]. given #7180 (H,wt=17): 8144 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(227,a,8067,a(flip),b,8142,a)]. given #7181 (H,wt=17): 8146 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [para(1244(a,1),8144(a,1,1,1)),flip(a)]. given #7182 (H,wt=20): 7240 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(2858(a,2),7238(a,2,1))]. given #7183 (H,wt=20): 7243 L(K(x * (y \ z),x),y \ z,u) = K(y \ (z * x),x). [hyper(227,a,6169,a,b,7242,a),flip(a)]. given #7184 (H,wt=18): 8148 K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. [para(7243(a,1),357(a,1)),flip(b)]. given #7185 (H,wt=18): 8149 K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. [para(7241(a,2),8148(a,1))]. given #7186 (H,wt=18): 8150 K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. [para(7351(a,2),8148(a,1))]. given #7187 (H,wt=18): 8151 K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. [para(7355(a,2),8148(a,1))]. given #7188 (H,wt=20): 7246 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(227,a,28,a(flip),b,7245,a)]. given #7189 (H,wt=18): 8152 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7246(a,2),474(a,1))]. given #7190 (H,wt=20): 7274 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(541(a,1),7269(a,1,2))]. given #7191 (H,wt=20): 7370 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(219(a,1),7273(a,2,2))]. given #7192 (H,wt=15): 8154 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(6775,a,7370,a),flip(a)]. given #7193 (H,wt=18): 8156 K(x,(y * z) \ 1) != u | K(x,z \ (y \ 1)) = u. [para(7370(a,1),6775(a,1))]. given #7194 (H,wt=19): 8155 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(227,a,7829,a(flip),b,7370,a(flip))]. given #7195 (H,wt=17): 8163 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(227,a,8079,a(flip),b,8155,a)]. given #7196 (H,wt=20): 7460 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7434(a,2),6182(a,1,1))]. given #7197 (H,wt=20): 7472 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(7442(a,1),6484(a,1,1))]. given #7198 (H,wt=20): 7567 K(x,(y * x) / z) != u | K(x,T(z \ (y * x),y)) = u. [para(7517(a,1),7189(a,1))]. given #7199 (H,wt=20): 7641 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(6590(a,2),7473(a,1,2))]. given #7200 (H,wt=20): 7651 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(6589(a,2),7585(a,1))]. given #7201 (H,wt=20): 7659 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(40(a,2),7647(a,1,1))]. given #7202 (H,wt=20): 7660 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(40(a,2),7647(a,1,2))]. given #7203 (H,wt=20): 7661 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),7647(a,1,2))]. given #7204 (H,wt=20): 7663 K((x \ y) * y,T(z,x)) != u | K(y * (y / x),z) = u. [para(951(a,1),7647(a,1,1))]. given #7205 (H,wt=20): 7719 K(x,y / R(x,z,u)) != w | K(x,R(x,z,u) \ y) = w. [para(7529(a,1),7656(a,1))]. given #7206 (H,wt=20): 7740 K(x,K(y,z \ (u \ 1))) != w | K(x,K(y,u * z)) = w. [para(123(a,1),7636(a,1,2,2))]. given #7207 (H,wt=20): 7745 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(264(a,1),7649(a,1,2))]. given #7208 (H,wt=20): 7754 K(x,(y \ (z \ 1)) \ u) != w | K(x,(z * y) * u) = w. [para(123(a,1),7750(a,1,2,1))]. given #7209 (H,wt=20): 7755 K(x,(y * (z \ 1)) \ u) != w | K(x,(z / y) * u) = w. [para(125(a,1),7750(a,1,2,1))]. given #7210 (H,wt=20): 7758 K(x,T(y,z \ (u \ 1))) != w | K(x,T(y,u * z)) = w. [para(123(a,1),7752(a,1,2,2))]. given #7211 (H,wt=20): 7759 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(655(a,1),7752(a,1,2,2))]. given #7212 (H,wt=20): 7767 (x / y) \ T(x,K(z,u)) != w | y * K(z,K(u,x)) = w. [para(7463(a,1),615(a,1))]. given #7213 (H,wt=20): 7773 K(R(x,y,z),T(u,w)) != v5 | K(R(T(x,w),y,z),u) = v5. [para(7534(a,1),7585(a,1))]. given #7214 (H,wt=20): 7780 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(7570(a,2),7208(a,1))]. given #7215 (H,wt=20): 7784 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(7685(a,2),7430(a,1))]. given #7216 (H,wt=20): 7796 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(62(a,1),7270(a,1,2,2))]. given #7217 (H,wt=20): 7803 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(6107(a,1),7369(a,1,1)),flip(a)]. given #7218 (H,wt=20): 7810 K((x / y) \ 1,x / y) != z | K(x \ y,y \ x) = z. [para(3447(a,2),7575(a,1))]. given #7219 (H,wt=20): 7812 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(7684(a,2),7640(a,1))]. given #7220 (H,wt=20): 7816 L(K(x,x * (y \ z)),y \ z,u) = K(x,y \ (z * x)). [para(14(a,1),7808(a,2,2,2,1))]. given #7221 (H,wt=18): 8167 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(7816(a,1),357(a,1)),flip(b)]. given #7222 (H,wt=18): 8169 K(x,(y \ z) \ x) != u | K(x,x * (z \ y)) = u. [para(7374(a,2),8167(a,1))]. given #7223 (H,wt=18): 8170 K(x,y \ (x * z)) != u | K(x,x * (y \ z)) = u. [para(8078(a,1),8167(a,1))]. given #7224 (H,wt=20): 7847 K(L(K(x,y),z,u),w) != v5 | K(w,K(y,L(x,z,u))) = v5. [para(7844(a,2),7430(a,1))]. given #7225 (H,wt=20): 7850 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(7845(a,1),7430(a,1))]. given #7226 (H,wt=20): 7851 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(7845(a,2),7430(a,1))]. given #7227 (H,wt=20): 7852 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(7846(a,2),7430(a,1))]. given #7228 (H,wt=20): 7902 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(173(a,1),7898(a,1,2)),flip(a)]. given #7229 (H,wt=18): 8173 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(227,a,5119,a(flip),b,7902,a)]. given #7230 (H,wt=20): 7939 K(x * y,x \ (1 / y)) != z | K(x \ y,y \ x) = z. [para(7864(a,2),4284(a,1))]. given #7231 (H,wt=20): 7960 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(7959(a,2),19(a,1))]. given #7232 (H,wt=20): 7962 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [para(5922(a,1),14(a,1,2))]. given #7233 (H,wt=17): 8175 (x * (y * y)) * K(y,z) = x * (y * T(y,z)). [para(7295(a,1),7962(a,1,2))]. given #7234 (H,wt=20): 7964 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),7963(a,2,2,1))]. given #7235 (H,wt=20): 8026 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(227,a,6016,a,b,7969,a)]. given #7236 (H,wt=20): 8044 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(7529(a,2),8043(a,1))]. given #7237 (H,wt=20): 8045 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7565(a,2),8043(a,1))]. given #7238 (H,wt=20): 8059 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(72,a,6443,a,b,6467,a)]. given #7239 (H,wt=20): 8119 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(8117(a,1),6007(a,1,1)),flip(a)]. given #7240 (H,wt=20): 8120 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(8117(a,1),7010(a,1,1,2))]. given #7241 (H,wt=20): 8130 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7320,a,6906,a)]. given #7242 (H,wt=20): 8172 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(7842(a,2),7850(a,1))]. given #7243 (H,wt=20): 8183 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(227,a,6647,a(flip),b,8119,a(flip)),flip(a)]. given #7244 (H,wt=21): 5822 ((K(x,y) * z) \ T(x,y)) * T(x,y) = (x \ z) \ T(x,y). [para(5791(a,1),950(a,1,1,1))]. given #7245 (H,wt=21): 5829 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(176(a,1),5795(a,1,2))]. given #7246 (H,wt=21): 5830 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(177(a,1),5795(a,1,2))]. given #7247 (H,wt=21): 5843 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(5842(a,1),501(a,1,1,1)),flip(a)]. given #7248 (H,wt=11): 8187 L(x,K(y,z),L(y,u,w)) = x. [hyper(464,a,5843,a)]. given #7249 (H,wt=21): 5906 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5877(a,1),5690(a,1,2))]. given #7250 (H,wt=19): 8190 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3100,a,b,5906,a),flip(a)]. given #7251 (H,wt=21): 5917 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5893(a,1),5054(a,1,2))]. given #7252 (H,wt=21): 5953 (x * (y \ z)) * K(y \ z,y \ 1) = x * (z * (y \ 1)). [para(626(a,1),5918(a,2,2))]. given #7253 (H,wt=17): 8192 (x * (y \ z)) * K(y,z) = x * (z * (y \ 1)). [para(5345(a,1),5953(a,1,2))]. given #7254 (H,wt=21): 5980 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(5934(a,1),4811(a,2,2))]. given #7255 (H,wt=19): 8193 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(227,a,5191,a(flip),b,5980,a)]. given #7256 (H,wt=15): 8194 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(227,a,4814,a,b,8193,a(flip)),flip(a)]. given #7257 (H,wt=19): 8195 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(709(a,1),8194(a,1,1))]. given #7258 (H,wt=15): 8196 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(227,a,2566,a(flip),b,8195,a)]. given #7259 (H,wt=15): 8197 ((x \ y) * x) \ (x \ y) = y \ (y / x). [para(8196(a,1),65(a,1,1))]. given #7260 (H,wt=14): 8198 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(410,a,8197,a)]. given #7261 (H,wt=16): 8199 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(13(a,1),8198(a,1,3)),flip(a)]. given #7262 (H,wt=15): 8200 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(227,a,4694,a(flip),b,8199,a(flip)),flip(a)]. given #7263 (H,wt=20): 8201 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(8200(a,1),2810(a,1,1,2))]. given #7264 (H,wt=14): 8202 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(3515,a,8201,a)]. given #7265 (H,wt=13): 8203 (x * y) \ T(x,y) = (y * x) \ x. [hyper(227,a,5491,a(flip),b,8202,a(flip)),flip(a)]. given #7266 (H,wt=13): 8204 T(x,y) = (x * y) * ((y * x) \ x). [para(8203(a,1),14(a,1,2)),flip(a)]. given #7267 (H,wt=21): 6061 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(6057(a,1),5729(a,1,1,1,1))]. given #7268 (H,wt=19): 8206 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7195(a,1),6061(a,1,1))]. given #7269 (H,wt=21): 6095 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6092(a,1),470(a,1,2,1))]. given #7270 (H,wt=21): 6100 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6098(a,1),469(a,1,2,1))]. given #7271 (H,wt=11): 8207 R(x,K(y,z),R(z,u,w)) = x. [hyper(495,a,6100,a)]. given #7272 (H,wt=21): 6101 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6098(a,1),470(a,1,2,1))]. given #7273 (H,wt=11): 8209 R(x,K(y,z),L(z,u,w)) = x. [hyper(495,a,6101,a)]. given #7274 (H,wt=13): 8210 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(6592(a,1),8209(a,1,2))]. given #7275 (H,wt=21): 6144 T(T(x,y \ z),z \ y) != u | L(x,y \ z,y \ z) = u. [para(6040(a,1),1136(a,1))]. given #7276 (H,wt=21): 6233 x * T(T(x,y \ 1),y \ 1) = y * (x * (x * (y \ 1))). [hyper(227,a,2970,a(flip),b,6084,a(flip))]. given #7277 (H,wt=19): 8212 x * T(T(x,y \ 1),y \ 1) = ((y * x) * x) / y. [hyper(227,a,1879,a(flip),b,6233,a)]. given #7278 (H,wt=21): 6332 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(227,a,5309,a,b,5811,a(flip)),flip(a)]. given #7279 (H,wt=21): 6354 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(1480(a,1),6350(a,1,1))]. given #7280 (H,wt=21): 6359 (x / y) * T(T(z,x / y),y / x) = (1 / (x / y)) \ z. [hyper(438,a,6157,a)]. given #7281 (H,wt=20): 8215 (x / y) * L(z,y / x,y / x) = (1 / (x / y)) \ z. [para(6360(a,1),6359(a,1,2))]. given #7282 (H,wt=21): 6366 x * (y * (z * T(y * z,x))) = (y * z) * (x * (y * z)). [para(1083(a,1),6365(a,1,2))]. given #7283 (H,wt=21): 6390 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),6331(a,1,2))]. given #7284 (H,wt=21): 6411 K(x \ y,x) * ((y / x) * (y / x)) = (y / x) * (x \ y). [hyper(227,a,275,a,b,6391,a)]. given #7285 (H,wt=18): 8218 (x / y) * (y \ x) != z | (y \ x) * (x / y) = z. [para(6411(a,1),6694(a,1))]. given #7286 (H,wt=21): 6428 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(6419(a,1),6193(a,1,2)),flip(a)]. given #7287 (H,wt=19): 8219 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(6433(a,1),6428(a,1,2)),flip(a)]. given #7288 (H,wt=21): 6431 K(x \ y,1 / x) * ((1 / x) \ z) = (1 / T(x,y)) \ z. [para(1561(a,1),6421(a,2,1))]. given #7289 (H,wt=21): 6447 (x \ y) * (K(y,y * (x \ 1)) * z) = (y * (x \ 1)) * z. [para(1201(a,1),6427(a,1,1))]. given #7290 (H,wt=17): 8223 (x \ y) * (K(x,y) * z) = (y * (x \ 1)) * z. [para(5391(a,1),6447(a,1,2,1))]. given #7291 (H,wt=19): 8224 (x * (y \ 1)) * ((1 / y) * x) = (y \ x) * (x / y). [para(6721(a,1),8223(a,1,2)),flip(a)]. given #7292 (H,wt=21): 6594 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(247(a,1),6559(a,1,1))]. given #7293 (H,wt=21): 6624 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(2521(a,1),6508(a,1,2,2))]. given #7294 (H,wt=21): 6630 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(72,a,6511,a(flip),b,5854,a(flip)),flip(a)]. given #7295 (H,wt=21): 6643 (((1 / x) * y) * z) \ K(u,w) = (z \ (y \ x)) * K(u,w). [para(314(a,1),6514(a,1,1)),flip(a)]. given #7296 (H,wt=21): 6676 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(1480(a,1),6591(a,1,1))]. given #7297 (H,wt=19): 8227 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(227,a,7214,a(flip),b,6676,a)]. given #7298 (H,wt=21): 6726 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(1637(a,1),6505(a,1,1))]. given #7299 (H,wt=19): 8229 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(113(a,1),6726(a,1,1,2))]. given #7300 (H,wt=21): 6752 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(42(a,2),6593(a,1,1))]. given #7301 (H,wt=21): 6757 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(72,a,100,a(flip),b,6638,a)]. given #7302 (H,wt=21): 6759 T(x \ 1,K(y,z)) \ (1 / x) = K(x * K(y,z),x \ 1). [para(6639(a,1),5569(a,1,1))]. given #7303 (H,wt=21): 6770 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(5221(a,1),6747(a,2,1))]. given #7304 (H,wt=21): 6799 (x \ (y \ (z \ 1))) * K(u,w) = ((z * y) * x) \ K(u,w). [para(123(a,1),6542(a,1,1,2))]. given #7305 (H,wt=21): 6802 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6510(a,1),6606(a,1,2,1))]. given #7306 (H,wt=21): 6812 (x / (y \ z)) / ((1 / z) * y) = T(T(x,y \ z),z \ y). [hyper(227,a,1319,a,b,6138,a),flip(a)]. given #7307 (H,wt=21): 6874 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(227,a,6424,a,b,6850,a),flip(a)]. given #7308 (H,wt=19): 8237 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(5747(a,1),6874(a,1,2))]. given #7309 (H,wt=21): 6891 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(6888(a,1),19(a,1)),flip(a)]. given #7310 (H,wt=21): 6916 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(6420(a,1),6911(a,1,1,2)),flip(a)]. given #7311 (H,wt=21): 6921 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6914(a,1),46(a,1,1)),flip(a)]. given #7312 (H,wt=21): 6923 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(6658(a,1),6914(a,1,1))]. given #7313 (H,wt=19): 8238 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(227,a,6914,a(flip),b,6923,a(flip))]. given #7314 (H,wt=21): 6926 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(166,a,6918,a,b,6333,a)]. given #7315 (H,wt=21): 6932 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6924(a,1),469(a,1,2,1))]. given #7316 (H,wt=13): 8240 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(495,a,6932,a)]. given #7317 (H,wt=13): 8242 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(227,a,6914,a(flip),b,8240,a(flip)),flip(a)]. given #7318 (H,wt=19): 8244 x * K(y,R(z,u,R(z,w,v5))) = (K(z,y) / x) \ 1. [para(8242(a,1),5106(a,1,1,1)),flip(a)]. given #7319 (H,wt=13): 8245 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(17,a,5106,a(flip),b,8244,a)]. given #7320 (H,wt=19): 8246 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7661,a,8245,a),flip(a)]. given #7321 (H,wt=15): 8247 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7647,a,8246,a),flip(a)]. given #7322 (H,wt=21): 6933 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(6924(a,1),470(a,1,2,1))]. given #7323 (H,wt=13): 8249 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(495,a,6933,a)]. given #7324 (H,wt=13): 8250 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(227,a,6914,a(flip),b,8249,a(flip)),flip(a)]. given #7325 (H,wt=19): 8251 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(7651,a,8250,a),flip(a)]. given #7326 (H,wt=15): 8252 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(7647,a,8251,a),flip(a)]. given #7327 (H,wt=19): 8254 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8252(a,1),4972(a,2,1,1))]. given #7328 (H,wt=15): 8255 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(227,a,4972,a,b,8254,a)]. given #7329 (H,wt=21): 6945 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),6937(a,2,2))]. given #7330 (H,wt=21): 6986 L(K(x,y),K(y,z) * x,u) != w | K(K(y,z) * x,y) = w. [para(6970(a,1),6295(a,1,1))]. given #7331 (H,wt=21): 6994 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(6052(a,1),6972(a,1,1,2)),flip(a)]. given #7332 (H,wt=20): 8256 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(227,a,8120,a(flip),b,6994,a(flip))]. given #7333 (H,wt=14): 8257 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(227,a,7005,a(flip),b,8256,a)]. given #7334 (H,wt=14): 8258 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8257(a,1,1,2)),flip(a)]. given #7335 (H,wt=14): 8259 K(x * R(y,z,y),y) = K(y * x,y). [hyper(227,a,7018,a(flip),b,8258,a(flip)),flip(a)]. given #7336 (H,wt=18): 8260 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8259(a,1),5022(a,2,2,2))]. given #7337 (H,wt=14): 8261 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(227,a,5022,a,b,8260,a)]. given #7338 (H,wt=16): 8262 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(227,a,4996,a(flip),b,8261,a)]. given #7339 (H,wt=14): 8263 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5047,a,8262,a)]. given #7340 (H,wt=21): 7143 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(115(a,1),7064(a,1,2,2)),flip(a)]. given #7341 (H,wt=21): 7176 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(7158(a,1),4813(a,1,2))]. given #7342 (H,wt=21): 7185 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(7056(a,1),6508(a,1,2))]. given #7343 (H,wt=21): 7221 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(113(a,2),7194(a,2,2)),flip(a)]. given #7344 (H,wt=21): 7229 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(227,a,5918,a,b,7215,a),flip(a)]. given #7345 (H,wt=13): 8266 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(17,a,4996,a(flip),b,7229,a),flip(a)]. given #7346 (H,wt=15): 8268 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3587(a,1),8266(a,1,1))]. given #7347 (H,wt=15): 8269 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(3649(a,1),8266(a,1,1)),flip(a)]. given #7348 (H,wt=13): 8278 K((x \ 1) * y,z) = K(x \ y,z). [hyper(5903,a,8269,a)]. given #7349 (H,wt=13): 8281 K((1 / x) \ y,z) = K(x * y,z). [para(65(a,1),8278(a,1,1,1)),flip(a)]. given #7350 (H,wt=13): 8283 K(x * (1 / y),z) = K(x / y,z). [para(339(a,1),8281(a,1,1)),flip(a)]. given #7351 (H,wt=13): 8284 K(T(x * y,x),z) = K(y * x,z). [para(1209(a,2),8281(a,1,1))]. given #7352 (H,wt=13): 8287 K(x * y,T(z,y)) = K(y * x,z). [hyper(7647,a,8284,a),flip(a)]. given #7353 (H,wt=13): 8288 K(x * y,T(z,x)) = K(y * x,z). [hyper(6709,a,8284,a)]. given #7354 (H,wt=13): 8291 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),8287(a,1,1)),flip(a)]. given #7355 (H,wt=15): 8272 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3711(a,1),8266(a,1,1)),flip(a)]. given #7356 (H,wt=15): 8273 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3722(a,1),8266(a,1,1))]. given #7357 (H,wt=15): 8274 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(3880(a,1),8266(a,1,1))]. given #7358 (H,wt=15): 8282 K(x \ (1 / y),z) = K(y * x,z \ 1). [hyper(6165,a,8281,a)]. given #7359 (H,wt=15): 8285 K(x * (1 / (y * x)),z) = K(y,z \ 1). [hyper(227,a,5875,a(flip),b,8283,a)]. given #7360 (H,wt=15): 8289 K(x * y,z) * x = x * K(y * x,z). [para(8284(a,1),5994(a,1,2)),flip(a)]. given #7361 (H,wt=16): 8290 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(8284(a,1),7647(a,1))]. given #7362 (H,wt=16): 8294 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(8287(a,1),7585(a,1))]. given #7363 (H,wt=16): 8300 K((1 / x) \ y,z) != u | K(x * y,z) = u. [para(8272(a,2),5903(a,1))]. given #7364 (H,wt=16): 8301 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(8273(a,1),6325(a,1))]. given #7365 (H,wt=17): 8286 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(7664,a,8284,a)]. given #7366 (H,wt=18): 8302 K(x \ (1 / y),z) != u | K(y * x,z \ 1) = u. [para(8274(a,2),5402(a,1))]. given #7367 (H,wt=18): 8305 K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. [para(131(a,1),8294(a,1,2))]. given #7368 (H,wt=18): 8308 K((x / y) \ y,z) != u | K(y * (x \ y),z) = u. [para(1199(a,1),8300(a,1,1))]. given #7369 (H,wt=19): 8295 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [hyper(227,a,7018,a(flip),b,8288,a)]. given #7370 (H,wt=19): 8298 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(8288(a,1),7185(a,1,2)),flip(a)]. given #7371 (H,wt=19): 8303 K(x \ ((1 / y) * z),u) = K((z \ y) * x,u \ 1). [para(313(a,1),8282(a,1,1,2))]. given #7372 (H,wt=19): 8304 K(x * y,y \ (x \ 1)) = K(y * x,y \ (x \ 1)). [hyper(18,a,3188,a,b,8289,a),flip(a)]. given #7373 (H,wt=19): 8313 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(8298(a,2),6454(a,1,1))]. given #7374 (H,wt=19): 8314 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(8313(a,1),5292(a,1,2)),flip(a)]. given #7375 (H,wt=13): 8315 K(x,T(y * z,y)) = K(x,z * y). [hyper(17,a,6624,a,b,8314,a(flip)),flip(a)]. given #7376 (H,wt=13): 8317 K(x,T(y * z,z)) = K(x,z * y). [hyper(227,a,7537,a,b,8315,a(flip)),flip(a)]. given #7377 (H,wt=13): 8318 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),8315(a,1,2,1)),flip(a)]. given #7378 (H,wt=13): 8319 K(x,(y \ 1) * z) = K(x,y \ z). [para(1201(a,1),8315(a,1,2)),flip(a)]. given #7379 (H,wt=13): 8320 K(x,(1 / y) \ z) = K(x,y * z). [para(1209(a,1),8315(a,1,2))]. given #7380 (H,wt=13): 8321 K(x,y / (z \ 1)) = K(x,y * z). [para(1231(a,1),8315(a,1,2))]. given #7381 (H,wt=15): 8316 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(227,a,6026,a,b,8315,a)]. given #7382 (H,wt=15): 8325 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [hyper(6322,a,8319,a)]. given #7383 (H,wt=15): 8326 K(x,(y \ 1) / z) = K(x,y \ (z \ 1)). [hyper(6300,a,8319,a)]. given #7384 (H,wt=15): 8327 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [hyper(227,a,6011,a,b,8319,a),flip(a)]. given #7385 (H,wt=15): 8331 K(x,(y / z) \ z) = K(x,z * (y \ z)). [para(1200(a,1),8319(a,1,2)),flip(a)]. given #7386 (H,wt=15): 8333 K(x,(1 / (1 / y)) * z) = K(x,y * z). [hyper(7753,a,8320,a)]. given #7387 (H,wt=15): 8334 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [hyper(7756,a,8321,a)]. given #7388 (H,wt=15): 8341 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(253(a,1),8326(a,1,2)),flip(a)]. given #7389 (H,wt=15): 8342 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(318(a,1),8326(a,1,2))]. given #7390 (H,wt=15): 8343 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(14(a,1),8327(a,1,2)),flip(a)]. given #7391 (H,wt=13): 8353 K(x,K(y \ 1,y) * z) = K(x,z). [para(3627(a,1),8343(a,1,2))]. given #7392 (H,wt=13): 8354 K(x,K(y,y \ 1) * z) = K(x,z). [para(2257(a,1),8353(a,1,2,1))]. given #7393 (H,wt=13): 8355 K(x,y * K(z,z \ 1)) = K(x,y). [para(3724(a,1),8353(a,1,2)),flip(a)]. given #7394 (H,wt=15): 8346 K(1 / x,y * x) = K(1 / x,x * y). [hyper(227,a,6153,a(flip),b,8333,a(flip)),flip(a)]. given #7395 (H,wt=15): 8347 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(114(a,2),8334(a,1,2,2))]. given #7396 (H,wt=15): 8349 K(x,y \ (1 / (1 / z))) = K(x,y \ z). [para(143(a,1),8341(a,1,2,2)),flip(a)]. given #7397 (H,wt=15): 8352 K(x,(1 / (y * z)) \ (z \ 1)) = K(x,y). [para(1457(a,2),8343(a,1,2))]. given #7398 (H,wt=16): 8338 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8316(a,2),7750(a,1))]. given #7399 (H,wt=16): 8361 K(x,(1 / y) \ z) != u | K(x,y * z) = u. [para(1209(a,1),8338(a,1,2))]. given #7400 (H,wt=16): 8362 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(7537(a,2),8338(a,1))]. given #7401 (H,wt=17): 8323 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(8317(a,1),6580(a,1,1))]. given #7402 (H,wt=17): 8324 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(7152(a,1),8318(a,1,2)),flip(a)]. given #7403 (H,wt=17): 8330 K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). [para(250(a,1),8319(a,1,2,1)),flip(a)]. given #7404 (H,wt=17): 8336 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [para(8321(a,1),7443(a,1,2)),flip(a)]. given #7405 (H,wt=17): 8337 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [para(8321(a,1),7504(a,1,2)),flip(a)]. given #7406 (H,wt=17): 8339 K(x,(y \ z) \ (z \ 1)) = K(x,z \ (y / z)). [para(2130(a,1),8325(a,1,2)),flip(a)]. given #7407 (H,wt=17): 8348 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(8334(a,1),7706(a,1,2))]. given #7408 (H,wt=17): 8350 K(x * y,x \ (y \ 1)) = K(x \ y,y \ x). [hyper(7939,a,8342,a),flip(a)]. given #7409 (H,wt=17): 8356 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(7230(a,2),8354(a,1,2))]. given #7410 (H,wt=17): 8365 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(6723,a,8323,a)]. given #7411 (H,wt=13): 8372 T(x,T(y * z,z)) = T(x,z * y). [hyper(17,a,6748,a,b,8365,a),flip(a)]. given #7412 (H,wt=13): 8373 T(x,(1 / y) \ z) = T(x,y * z). [hyper(227,a,7602,a(flip),b,8372,a(flip)),flip(a)]. given #7413 (H,wt=13): 8375 T(x,(y \ 1) * z) = T(x,y \ z). [para(62(a,1),8373(a,1,2,1)),flip(a)]. given #7414 (H,wt=13): 8376 T(x,T(y * z,y)) = T(x,z * y). [para(1209(a,2),8373(a,1,2))]. given #7415 (H,wt=15): 8374 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [hyper(227,a,6044,a,b,8373,a)]. given #7416 (H,wt=15): 8377 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [hyper(6128,a,8375,a)]. given #7417 (H,wt=15): 8382 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(227,a,7702,a,b,8376,a(flip)),flip(a)]. given #7418 (H,wt=15): 8385 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(7493,a,8382,a)]. given #7419 (H,wt=16): 8383 T(x,(1 / y) \ z) != u | T(x,y * z) = u. [para(8374(a,2),6127(a,1))]. given #7420 (H,wt=16): 8387 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(1209(a,2),8383(a,1,2))]. given #7421 (H,wt=17): 8367 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(227,a,7443,a,b,8336,a)]. given #7422 (H,wt=17): 8368 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),8337(a,2,2,2))]. given #7423 (H,wt=17): 8370 K(x * y,y \ (x \ 1)) = K(y \ x,x \ y). [hyper(227,a,8304,a,b,8350,a(flip)),flip(a)]. given #7424 (H,wt=17): 8381 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(8375(a,1),6669(a,1,2))]. given #7425 (H,wt=17): 8391 (x \ (y \ 1)) * (y * x) = K(x \ y,y \ x). [hyper(227,a,2289,a(flip),b,8370,a(flip)),flip(a)]. given #7426 (H,wt=18): 8344 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(3607(a,1),8327(a,1,2)),flip(a)]. given #7427 (H,wt=18): 8366 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(8324(a,1),5097(a,1))]. given #7428 (H,wt=18): 8386 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(8385(a,1),6734(a,1,1)),flip(b)]. given #7429 (H,wt=18): 8388 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(7702(a,2),8387(a,1))]. given #7430 (H,wt=19): 8322 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(8315(a,1),6587(a,2,2))]. given #7431 (H,wt=19): 8359 x * K(1 / y,z * y) = x * K(1 / y,y * z). [hyper(21,a,8346,a)]. given #7432 (H,wt=19): 8371 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3752(a,1),8356(a,1,2,1))]. given #7433 (H,wt=20): 8275 K(x,(y \ 1) \ 1) != z | K(K(u,u \ 1) * x,y) = z. [para(8266(a,1),6151(a,1))]. given #7434 (H,wt=20): 8297 x * (y * K(y * x,z)) != u | T(x * y,T(z,x)) = u. [para(8288(a,1),5534(a,1,2,2))]. given #7435 (H,wt=20): 8306 K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w. [para(728(a,1),8294(a,1,2))]. given #7436 (H,wt=20): 8310 K((x \ 1) * (1 / y),z) != u | K(y * x,z \ 1) = u. [para(8278(a,2),8302(a,1))]. given #7437 (H,wt=20): 8311 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8295(a,1),5183(a,1,2))]. given #7438 (H,wt=20): 8351 K(x * y,x \ (y \ 1)) != z | K(x \ y,y \ x) = z. [para(8342(a,1),7939(a,1))]. given #7439 (H,wt=20): 8363 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(6565(a,1),8362(a,1))]. given #7440 (H,wt=14): 8402 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(8363,a,8263,a)]. given #7441 (H,wt=17): 8403 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(7305,a,8402,a)]. given #7442 (H,wt=20): 8364 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(7613(a,1),8362(a,1))]. given #7443 (H,wt=20): 8384 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3258(a,2),8377(a,1,2,1))]. given #7444 (H,wt=16): 8404 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(227,a,8051,a(flip),b,8384,a)]. given #7445 (H,wt=18): 8405 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [hyper(227,a,4996,a(flip),b,8404,a)]. given #7446 (H,wt=16): 8406 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(5047,a,8405,a)]. given #7447 (H,wt=20): 8389 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(8367(a,2),7473(a,1))]. given #7448 (H,wt=20): 8390 K(x,K(y,(z \ 1) / (u / z))) != w | K(y,K(x,u)) = w. [para(8368(a,2),7430(a,1))]. given #7449 (H,wt=20): 8401 K(x * y,y \ (x \ 1)) != z | K(y \ x,x \ y) = z. [para(8304(a,2),8351(a,1))]. given #7450 (H,wt=21): 7231 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [hyper(227,a,6016,a,b,7223,a)]. given #7451 (H,wt=21): 7275 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6002(a,1),7269(a,1,2,2)),flip(a)]. given #7452 (H,wt=21): 7328 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7326(a,1),501(a,1,1,1)),flip(a)]. given #7453 (H,wt=13): 8408 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(464,a,7328,a)]. given #7454 (H,wt=13): 8409 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(227,a,7272,a(flip),b,8408,a(flip)),flip(a)]. given #7455 (H,wt=13): 8410 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(227,a,7247,a(flip),b,8408,a(flip)),flip(a)]. given #7456 (H,wt=21): 7338 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7331(a,1),501(a,1,1,1)),flip(a)]. given #7457 (H,wt=13): 8412 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(464,a,7338,a)]. given #7458 (H,wt=13): 8414 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(227,a,7247,a(flip),b,8412,a(flip)),flip(a)]. given #7459 (H,wt=21): 7364 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [para(7362(a,1),5902(a,2,2))]. given #7460 (H,wt=21): 7414 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(227,a,5510,a(flip),b,7399,a)]. given #7461 (H,wt=17): 8415 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5510(a,1),7414(a,1,1)),flip(a)]. given #7462 (H,wt=21): 7445 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5510(a,1),7433(a,1,1)),flip(a)]. given #7463 (H,wt=17): 8416 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5510(a,1),7445(a,1,2)),flip(a)]. given #7464 (H,wt=17): 8417 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(227,a,8415,a,b,8416,a(flip)),flip(a)]. given #7465 (H,wt=17): 8418 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7428(a,1),8417(a,1,1))]. given #7466 (H,wt=14): 8421 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(5857(a,1),8418(a,2,2))]. given #7467 (H,wt=21): 7556 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(7211(a,1),7526(a,1,1))]. given #7468 (H,wt=21): 7557 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(7526(a,1),7247(a,1,1))]. given #7469 (H,wt=17): 8422 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(227,a,7541,a(flip),b,7557,a)]. given #7470 (H,wt=15): 8424 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(113(a,1),8422(a,1,2))]. given #7471 (H,wt=15): 8425 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(163(a,1),8422(a,1,2)),flip(a)]. given #7472 (H,wt=12): 8428 K(L(x,x \ 1,y),z) = K(x,z). [hyper(227,a,359,a(flip),b,8425,a)]. given #7473 (H,wt=18): 8429 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(7659,a,8428,a),flip(a)]. given #7474 (H,wt=17): 8430 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(8429(a,1),7647(a,1))]. given #7475 (H,wt=17): 8431 K(L(x,x \ K(y,x),z),u) != w | K(x,u) = w. [para(4963(a,1),8430(a,1,1,2))]. given #7476 (H,wt=12): 8432 L(K(x,y),K(z,x),u) = K(x,y). [hyper(8431,a,8425,a),flip(a)]. given #7477 (H,wt=18): 8433 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(8432(a,1),44(a,1,1)),flip(a)]. given #7478 (H,wt=19): 8434 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8432(a,1),100(a,1,2))]. given #7479 (H,wt=10): 8438 R(x,K(y,z),K(z,u)) = x. [hyper(495,a,8434,a)]. given #7480 (H,wt=12): 8441 R(x,T(K(y,z),u),K(z,w)) = x. [para(2627(a,1),8438(a,1,2))]. given #7481 (H,wt=13): 8443 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5625(a,1),8438(a,1,2))]. given #7482 (H,wt=14): 8444 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6555(a,1),8441(a,1,3))]. given #7483 (H,wt=19): 8437 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6498,a,8434,a)]. given #7484 (H,wt=12): 8447 L(K(x,y),K(z,y),u) = K(x,y). [hyper(6891,a,8437,a)]. given #7485 (H,wt=12): 8450 L(K(x,y),K(y,z),u) = K(x,y). [para(5202(a,1),8447(a,1,2))]. given #7486 (H,wt=16): 8452 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7526(a,1),8450(a,1,2))]. given #7487 (H,wt=19): 8440 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(3070(a,2),8434(a,2,2))]. given #7488 (H,wt=19): 8449 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(3070(a,2),8437(a,1,1,2))]. given #7489 (H,wt=19): 8451 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(8450(a,1),100(a,1,2))]. given #7490 (H,wt=10): 8459 R(x,K(y,z),K(u,y)) = x. [hyper(495,a,8451,a)]. given #7491 (H,wt=19): 8457 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,8437,a,b,8449,a(flip)),flip(a)]. given #7492 (H,wt=19): 8460 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(227,a,8440,a,b,8451,a)]. given #7493 (H,wt=19): 8462 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6496(a,1),8451(a,1,1)),flip(a)]. given #7494 (H,wt=20): 8439 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(227,a,8183,a(flip),b,8434,a(flip))]. given #7495 (H,wt=17): 8468 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(6272(a,1),8439(a,1,2)),flip(a)]. given #7496 (H,wt=13): 8470 x / R(x,y,x) = x \ L(x,y,x). [hyper(70,a,730,a(flip),b,8468,a(flip)),flip(a)]. given #7497 (H,wt=17): 8469 x * (R(x,y,x) \ z) = z * (x \ L(x,y,x)). [hyper(6373,a,8468,a)]. given #7498 (H,wt=19): 8472 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [hyper(72,a,5791,a(flip),b,8469,a)]. given #7499 (H,wt=17): 8473 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7294(a,1),8472(a,1,2)),flip(a)]. given #7500 (H,wt=19): 8474 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(227,a,6062,a,b,8473,a(flip)),flip(a)]. given #7501 (H,wt=19): 8475 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(8473(a,1),8206(a,1,1))]. given #7502 (H,wt=21): 7559 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(7526(a,1),7272(a,1,1))]. given #7503 (H,wt=17): 8477 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(227,a,7542,a(flip),b,7559,a)]. given #7504 (H,wt=15): 8480 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(113(a,1),8477(a,1,2))]. given #7505 (H,wt=15): 8481 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(163(a,1),8477(a,1,2)),flip(a)]. given #7506 (H,wt=17): 8479 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(227,a,7275,a(flip),b,8477,a(flip)),flip(a)]. given #7507 (H,wt=17): 8487 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(6508(a,1),8479(a,1,2,2))]. given #7508 (H,wt=19): 8482 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(5949(a,1),8477(a,1,2))]. given #7509 (H,wt=17): 8488 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(227,a,7269,a(flip),b,8482,a)]. given #7510 (H,wt=21): 7573 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7074(a,1),7527(a,1,2))]. given #7511 (H,wt=17): 8489 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(227,a,8069,a(flip),b,7573,a(flip)),flip(a)]. given #7512 (H,wt=15): 8490 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7648,a,8489,a),flip(a)]. given #7513 (H,wt=19): 8492 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8490(a,1),6454(a,1,1,2)),flip(a)]. given #7514 (H,wt=15): 8493 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(227,a,6454,a(flip),b,8492,a)]. given #7515 (H,wt=19): 8494 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(6194(a,1),8493(a,1,2,1))]. given #7516 (H,wt=21): 7591 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7078(a,1),7544(a,1,1))]. given #7517 (H,wt=17): 8495 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(227,a,7897,a(flip),b,7591,a(flip)),flip(a)]. given #7518 (H,wt=15): 8496 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7662,a,8495,a),flip(a)]. given #7519 (H,wt=21): 7592 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(227,a,5174,a,b,7545,a(flip)),flip(a)]. given #7520 (H,wt=21): 7667 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(6658(a,1),7403(a,1,1,2))]. given #7521 (H,wt=17): 8499 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(227,a,7403,a(flip),b,7667,a(flip))]. given #7522 (H,wt=17): 8500 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8499(a,1,2,2)),flip(a)]. given #7523 (H,wt=21): 7735 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(115(a,1),7388(a,1,2,2)),flip(a)]. given #7524 (H,wt=21): 7771 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(2308(a,1),7534(a,1,1,1)),flip(a)]. given #7525 (H,wt=19): 8501 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(227,a,8238,a(flip),b,7771,a)]. given #7526 (H,wt=21): 7776 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(7554(a,1),7526(a,1,1))]. given #7527 (H,wt=19): 8503 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(227,a,7550,a(flip),b,7776,a)]. given #7528 (H,wt=21): 7785 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)). [para(7699(a,1),7698(a,1,1))]. given #7529 (H,wt=19): 8504 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). [hyper(227,a,7625,a(flip),b,7785,a)]. given #7530 (H,wt=17): 8505 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z). [hyper(227,a,6137,a(flip),b,8504,a)]. given #7531 (H,wt=15): 8506 T(T(x,K(y,z)),z \ y) = T(x,y / z). [hyper(6124,a,8505,a)]. given #7532 (H,wt=21): 7791 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(7786(a,1),175(a,1,2))]. given #7533 (H,wt=21): 7798 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(227,a,7235,a(flip),b,7797,a(flip))]. given #7534 (H,wt=21): 7800 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(479(a,1),7799(a,1,2)),flip(a)]. given #7535 (H,wt=21): 7814 (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. [para(7793(a,1),205(a,1,2)),flip(b)]. given #7536 (H,wt=21): 7834 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),7348(a,1,1,1,1,2))]. given #7537 (H,wt=21): 7866 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(7593(a,1),4996(a,2,2))]. given #7538 (H,wt=21): 7868 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(7596(a,1),4953(a,2,2))]. given #7539 (H,wt=19): 8513 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(227,a,4953,a,b,7868,a)]. given #7540 (H,wt=21): 7878 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(7727(a,1),5938(a,1,1,1))]. given #7541 (H,wt=21): 7887 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(7790(a,1),3473(a,1,2)),flip(a)]. given #7542 (H,wt=21): 7889 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7435(a,1),7817(a,1,1)),flip(a)]. given #7543 (H,wt=21): 7926 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(102(a,2),7899(a,1,2))]. given #7544 (H,wt=21): 7942 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(2312(a,1),7871(a,1,2,1)),flip(a)]. given #7545 (H,wt=21): 7949 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(7481(a,1),7947(a,1,1))]. given #7546 (H,wt=21): 7976 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(6420(a,1),7971(a,1,2,2)),flip(a)]. given #7547 (H,wt=21): 7984 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7526(a,1),7973(a,1,1))]. given #7548 (H,wt=17): 8518 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(227,a,7543,a(flip),b,7984,a)]. given #7549 (H,wt=17): 8521 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8518(a,1,2)),flip(a)]. given #7550 (H,wt=17): 8522 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(227,a,7976,a,b,8521,a(flip)),flip(a)]. given #7551 (H,wt=17): 8524 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5202(a,1),8522(a,1,2,1))]. given #7552 (H,wt=20): 8519 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7984(a,2),7661(a,1))]. given #7553 (H,wt=18): 8526 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(112(a,1),8519(a,1,2,1))]. given #7554 (H,wt=21): 8109 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(6598(a,1),8098(a,1,2,1,2))]. given #7555 (H,wt=19): 8528 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(227,a,8107,a(flip),b,8109,a)]. given #7556 (H,wt=21): 8116 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3625(a,1),8115(a,1,2)),flip(a)]. given #7557 (H,wt=21): 8126 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(6046(a,1),8125(a,1,2,1))]. given #7558 (H,wt=21): 8140 K(x,T(T((y / z) \ 1,z),u)) = K(x,T((z \ y) \ 1,u)). [para(115(a,1),8139(a,1,2,1,1)),flip(a)]. given #7559 (H,wt=17): 8531 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [para(1195(a,1),8140(a,1,2,1)),flip(a)]. given #7560 (H,wt=17): 8532 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(13(a,1),8531(a,1,2,1,1)),flip(a)]. given #7561 (H,wt=17): 8533 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(963(a,1),8532(a,1,2,1)),flip(a)]. given #7562 (H,wt=21): 8147 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8144(a,1),7434(a,2,2))]. given #7563 (H,wt=21): 8165 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(102(a,1),7796(a,1,2))]. given #7564 (H,wt=21): 8174 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(7902(a,2),5238(a,1))]. given #7565 (H,wt=21): 8177 K(x,y) \ ((z * (x * x)) \ 1) = (z * (x * T(x,y))) \ 1. [para(8175(a,1),123(a,1,1)),flip(a)]. given #7566 (H,wt=21): 8184 (x \ K(y,z)) * (T(z,y) * T(z,y)) = (z \ x) \ T(z,y). [hyper(227,a,5283,a(flip),b,5822,a(flip)),flip(a)]. given #7567 (H,wt=21): 8188 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3016(a,1),5843(a,1,1))]. given #7568 (H,wt=21): 8189 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(227,a,6469,a(flip),b,8187,a(flip)),flip(a)]. given #7569 (H,wt=19): 8537 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7344(a,1),8189(a,1,1)),flip(a)]. given #7570 (H,wt=21): 8208 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(227,a,6527,a(flip),b,8207,a(flip)),flip(a)]. given #7571 (H,wt=21): 8217 K(x \ y,x) * (y * (x \ (y / x))) = (y / x) * (x \ y). [para(926(a,1),6411(a,1,2))]. given #7572 (H,wt=21): 8222 K(x \ y,x \ 1) * ((1 / x) \ z) = (1 / T(x,y)) \ z. [para(4222(a,1),6431(a,1,1))]. given #7573 (H,wt=17): 8540 K(x,y) * ((1 / x) \ z) = (1 / T(x,y)) \ z. [para(5345(a,1),8222(a,1,1))]. given #7574 (H,wt=17): 8541 K(x,y) * ((1 / T(y,x)) \ z) = (1 / y) \ z. [hyper(6490,a,8540,a)]. given #7575 (H,wt=17): 8543 (1 / T(x,y)) \ (1 / z) = K(x,y) * (x / z). [para(339(a,1),8540(a,1,2)),flip(a)]. given #7576 (H,wt=13): 8545 K(x,y) * (x / z) = T(x,y) / z. [hyper(350,a,8543,a),flip(a)]. given #7577 (H,wt=13): 8546 K(x,y) * (T(y,x) / z) = y / z. [hyper(6490,a,8545,a)]. given #7578 (H,wt=13): 8548 T(x,y) / (z \ x) = K(x,y) * z. [para(62(a,1),8545(a,1,2)),flip(a)]. given #7579 (H,wt=13): 8551 x / (y \ T(x,z)) = K(z,x) * y. [para(62(a,1),8546(a,1,2)),flip(a)]. given #7580 (H,wt=13): 8554 (K(x,y) * z) \ T(x,y) = z \ x. [para(8548(a,1),65(a,1,1))]. given #7581 (H,wt=12): 8559 L(x \ y,x,K(y,z)) = x \ y. [hyper(5069,a,8554,a)]. given #7582 (H,wt=10): 8562 a(K(x,y),z,z \ x) = 1. [hyper(34,a,8559,a)]. given #7583 (H,wt=10): 8564 a(K(x * y,z),x,y) = 1. [para(13(a,1),8562(a,1,3))]. given #7584 (H,wt=10): 8565 a(K(x,y),z,z \ y) = 1. [para(5199(a,1),8562(a,1,1))]. given #7585 (H,wt=12): 8566 a(K(x,K(y,z * u)),z,u) = 1. [para(7398(a,1),8564(a,1,1))]. given #7586 (H,wt=15): 8556 (K(x,y) * z) \ x = (z \ x) * K(y,x). [para(8548(a,1),6691(a,1,1))]. given #7587 (H,wt=15): 8560 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(5795(a,1),8554(a,1,1))]. given #7588 (H,wt=15): 8561 (x \ y) \ T(x,z) = (y \ x) * T(x,z). [para(8554(a,1),5822(a,1,1)),flip(a)]. given #7589 (H,wt=13): 8571 (x \ 1) \ T(x,y) = x * T(x,y). [para(50(a,1),8561(a,2,1))]. given #7590 (H,wt=15): 8570 (x \ y) \ T(x,z) = (y \ T(x,z)) * x. [hyper(227,a,6686,a,b,8561,a)]. given #7591 (H,wt=17): 8550 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(7434(a,2),8545(a,1,1))]. given #7592 (H,wt=17): 8552 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(6733(a,1),8546(a,1,1))]. given #7593 (H,wt=17): 8568 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(4949(a,2),8556(a,2,1))]. given #7594 (H,wt=19): 8542 T(x,y) \ ((1 / T(x,y)) \ z) = x \ ((1 / x) \ z). [hyper(72,a,8540,a(flip),b,5791,a)]. given #7595 (H,wt=16): 8576 L(x,T(y,z),T(y,z)) = y \ ((1 / y) \ x). [hyper(1365,a,8542,a)]. given #7596 (H,wt=13): 8577 L(x,T(y,z),T(y,z)) = L(x,y,y). [hyper(227,a,1364,a(flip),b,8576,a)]. given #7597 (H,wt=19): 8558 (x * x) \ (K(y,x) * z) = 1 / ((z \ T(x,y)) * x). [para(8551(a,1),1009(a,1,2))]. given #7598 (H,wt=19): 8579 (x * x) \ (K(y,x) * z) = 1 / ((z \ x) * T(x,y)). [para(6686(a,1),8558(a,2,2))]. given #7599 (H,wt=20): 8553 K(x,y) * (x / z) != u * w | u \ (T(x,y) / z) = w. [para(8546(a,1),6470(a,1,2))]. given #7600 (H,wt=20): 8567 a(K(x,y),z,z \ y) = K(u,K(w,v5)) * K(u,K(w,v5)). [hyper(227,a,7467,a,b,8565,a)]. given #7601 (H,wt=20): 8574 x * (T(y,K(z,u)) / w) != y / w | K(y,K(u,z)) = x. [para(8552(a,1),20(a,1)),flip(a)]. given #7602 (H,wt=21): 8233 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(227,a,40,a,b,6757,a)]. given #7603 (H,wt=21): 8234 T(x \ 1,K(y,z)) \ (1 / x) = K(x * K(z,y),x \ 1). [para(7486(a,1),6759(a,1,1))]. given #7604 (H,wt=19): 8581 T(x \ 1,K(y,z)) \ (1 / x) = K(K(y,z) / x,x). [hyper(227,a,5392,a(flip),b,8234,a)]. given #7605 (H,wt=19): 8582 T(x \ 1,K(y,z)) \ (1 / x) = K(x \ K(y,z),x). [hyper(227,a,5088,a(flip),b,8581,a)]. given #7606 (H,wt=15): 8583 K(x \ K(y,z),x) = K(x,x \ K(y,z)). [hyper(227,a,6074,a(flip),b,8582,a(flip))]. given #7607 (H,wt=21): 8239 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(71,a,8238,a,b,6489,a),flip(a)]. given #7608 (H,wt=19): 8585 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5124,a,8239,a),flip(a)]. given #7609 (H,wt=21): 8241 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4948(a,1),6932(a,1,1)),flip(a)]. given #7610 (H,wt=21): 8243 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8242(a,1),5004(a,2,1)),flip(a)]. given #7611 (H,wt=21): 8265 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(227,a,1637,a,b,7221,a(flip)),flip(a)]. given #7612 (H,wt=19): 8588 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(227,a,7364,a(flip),b,8265,a(flip))]. given #7613 (H,wt=19): 8589 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [hyper(227,a,7194,a(flip),b,8588,a(flip))]. given #7614 (H,wt=21): 8277 K(((x * K(y,z)) \ 1) * u,w) = K((K(z,y) / x) * u,w). [para(5106(a,1),8268(a,1,1,1,1))]. given #7615 (H,wt=19): 8592 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5117(a,1),8277(a,1,1,1)),flip(a)]. given #7616 (H,wt=21): 8292 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(429(a,1),8287(a,1,1))]. given #7617 (H,wt=21): 8293 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(5918(a,1),8287(a,1,1))]. given #7618 (H,wt=21): 8340 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4432(a,1),8325(a,1,2,1)),flip(a)]. given #7619 (H,wt=21): 8392 (x * y) * (1 / (z * (x * y))) = K(y \ x,x \ y) / z. [para(8370(a,1),3667(a,1,1)),flip(a)]. given #7620 (H,wt=21): 8393 (x \ (y * z)) * (1 / (y * z)) = x \ K(z \ y,y \ z). [para(8370(a,1),3690(a,1,2)),flip(a)]. given #7621 (H,wt=17): 8597 x \ K(y \ x,x \ y) = y * (1 / (x * y)). [para(13(a,1),8393(a,1,1)),flip(a)]. given #7622 (H,wt=20): 8598 x * (y * (1 / (x * y))) != z | K(y \ x,x \ y) = z. [para(8597(a,1),205(a,1,2)),flip(b)]. given #7623 (H,wt=21): 8420 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(5578(a,1),8418(a,2,2))]. given #7624 (H,wt=19): 8599 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(227,a,7450,a(flip),b,8420,a)]. given #7625 (H,wt=17): 8601 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7400(a,1),8599(a,1,1))]. given #7626 (H,wt=17): 8602 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7450(a,1),8599(a,1,1))]. given #7627 (H,wt=14): 8604 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(227,a,8421,a(flip),b,8602,a(flip))]. given #7628 (H,wt=17): 8603 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(227,a,8417,a(flip),b,8601,a(flip)),flip(a)]. given #7629 (H,wt=17): 8605 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(227,a,8418,a(flip),b,8602,a(flip)),flip(a)]. given #7630 (H,wt=19): 8606 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(8602(a,2),4996(a,2,2)),flip(a)]. given #7631 (H,wt=21): 8427 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7526(a,1),8424(a,1,1))]. given #7632 (H,wt=20): 8607 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8427(a,2),7659(a,1))]. given #7633 (H,wt=18): 8608 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(112(a,1),8607(a,1,2,1))]. given #7634 (H,wt=16): 8609 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(7272(a,1),8608(a,1))]. given #7635 (H,wt=21): 8456 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6511(a,1),8440(a,1,1)),flip(a)]. given #7636 (H,wt=20): 8610 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(227,a,8118,a(flip),b,8456,a)]. given #7637 (H,wt=21): 8485 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(5747(a,1),8480(a,1,2))]. given #7638 (H,wt=17): 8611 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(227,a,8487,a(flip),b,8485,a)]. given #7639 (H,wt=21): 8498 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4977(a,1),7592(a,1,1,1,2))]. given #7640 (H,wt=21): 8508 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(7168(a,2),7791(a,1,2))]. given #7641 (H,wt=21): 8515 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(5991(a,1),8513(a,2,1,2))]. given #7642 (H,wt=21): 8517 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(227,a,8029,a(flip),b,7949,a)]. given #7643 (H,wt=21): 8525 R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). [para(4942(a,1),8524(a,1,2))]. given #7644 (H,wt=17): 8615 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [hyper(8526,a,8525,a),flip(a)]. given #7645 (H,wt=21): 8527 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(227,a,6559,a,b,8109,a)]. given #7646 (H,wt=21): 8534 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(227,a,7434,a(flip),b,8147,a)]. given #7647 (H,wt=21): 8535 K(x,y) \ (((1 / z) * (x * x)) \ 1) = (x * T(x,y)) \ z. [hyper(227,a,250,a(flip),b,8177,a)]. given #7648 (H,wt=17): 8617 K(x,y) \ ((x * x) \ z) = (x * T(x,y)) \ z. [para(250(a,1),8535(a,1,2))]. given #7649 (H,wt=17): 8618 K(x,y) * ((y * y) \ z) = (y * T(y,x)) \ z. [hyper(6491,a,8617,a)]. given #7650 (H,wt=21): 8536 (x \ K(y,z)) * (z * T(T(z,y),y)) = (z \ x) \ T(z,y). [para(6084(a,1),8184(a,1,2))]. given #7651 (H,wt=21): 8538 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8537(a,1),6427(a,1,2))]. given #7652 (H,wt=21): 8539 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(6355(a,2),8208(a,1,2))]. given #7653 (H,wt=21): 8547 (x \ y) \ (T(y / x,x) / z) = (y / x) \ ((y / x) / z). [hyper(72,a,8545,a(flip),b,5819,a)]. given #7654 (H,wt=19): 8622 (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). [para(115(a,1),8547(a,1,2,1)),flip(a)]. given #7655 (H,wt=21): 8575 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7399(a,1),8568(a,2,1))]. given #7656 (H,wt=21): 8586 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(2835(a,2),8241(a,1,2))]. given #7657 (H,wt=21): 8587 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(227,a,42,a,b,8243,a)]. given #7658 (H,wt=21): 8590 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(15(a,1),8588(a,1,1,1,2)),flip(a)]. given #7659 (H,wt=19): 8628 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(8590(a,1),8496(a,1,2,2))]. given #7660 (H,wt=19): 8629 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(13(a,1),8628(a,1,2,2,1,1))]. given #7661 (H,wt=21): 8613 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8498(a,1),16(a,1,1))]. given #7662 (H,wt=21): 8614 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(8084(a,1),8517(a,1,2))]. given #7663 (H,wt=21): 8621 (x \ K(y,z)) * (z * T(T(z,y),y)) = (x \ T(z,y)) * z. [hyper(227,a,8570,a(flip),b,8536,a)]. given #7664 (H,wt=21): 8630 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8613(a,1),6455(a,1,2))]. given #7665 (H,wt=22): 5818 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),5791(a,1,2)),flip(a)]. given #7666 (H,wt=22): 5826 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),5795(a,2,1))]. given #7667 (H,wt=19): 8634 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(6057(a,1),5826(a,1,1))]. given #7668 (H,wt=19): 8636 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5826(a,1),7060(a,1,2))]. given #7669 (H,wt=22): 5835 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5803(a,1,2,1))]. given #7670 (H,wt=22): 5975 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),5934(a,1,2,1)),flip(a)]. given #7671 (H,wt=22): 6001 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(5992(a,1),5837(a,1,2))]. given #7672 (H,wt=18): 8638 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(7479(a,1),6001(a,1,1)),flip(a)]. given #7673 (H,wt=13): 8639 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(227,a,5837,a(flip),b,8638,a)]. given #7674 (H,wt=13): 8641 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(227,a,7390,a(flip),b,8639,a(flip)),flip(a)]. given #7675 (H,wt=17): 8643 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(115(a,1),8641(a,1,2)),flip(a)]. given #7676 (H,wt=22): 6082 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6007(a,1),156(a,2,1))]. given #7677 (H,wt=22): 6197 ((x * y) / x) * (y \ z) != u * w | u \ (K(x,y) * z) = w. [para(5862(a,1),588(a,1))]. given #7678 (H,wt=22): 6209 x \ (y * T(y \ x,z)) != u * w | u \ K(y \ x,z) = w. [para(5902(a,2),307(a,1,2))]. given #7679 (H,wt=20): 8645 K((x \ y) \ 1,z) != u * w | u \ K(y \ x,z) = w. [para(5247(a,1),6209(a,1))]. given #7680 (H,wt=22): 6262 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(30(a,2),6253(a,1,2,1)),flip(a)]. given #7681 (H,wt=22): 6279 (x * (y * y)) * K(y,z) != u | ((1 / x) \ y) * T(y,z) = u. [para(909(a,1),5966(a,1,1))]. given #7682 (H,wt=17): 8646 ((1 / x) \ y) * T(y,z) = x * (y * T(y,z)). [hyper(6279,a,8175,a)]. given #7683 (H,wt=22): 6301 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(5668(a,2),6198(a,1))]. given #7684 (H,wt=22): 6303 K(x \ y,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(3534(a,2),6207(a,1))]. given #7685 (H,wt=22): 6324 K(x,((y / z) * u) \ y) != w | K(x,y \ ((u / y) \ z)) = w. [para(1523(a,1),6317(a,1,2))]. given #7686 (H,wt=22): 6379 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6235(a,1),5298(a,1,1))]. given #7687 (H,wt=15): 8647 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(506,a,6379,a),flip(a)]. given #7688 (H,wt=19): 8648 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7447(a,1),8647(a,1,3)),flip(a)]. given #7689 (H,wt=22): 6405 K(x,y) * (((y * x) / y) * z) != u * w | u \ (x * z) = w. [para(6397(a,2),457(a,1))]. given #7690 (H,wt=22): 6429 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(6420(a,1),5827(a,1,2))]. given #7691 (H,wt=22): 6436 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),6424(a,1,1))]. given #7692 (H,wt=22): 6533 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),6434(a,1,2,1))]. given #7693 (H,wt=22): 6573 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(6555(a,2),711(a,1,2,2))]. given #7694 (H,wt=22): 6656 (x * (K(y,z) * (u / x))) * x = L((x * K(y,z)) * u,x,x). [para(6543(a,1),2327(a,1,1,1)),flip(a)]. given #7695 (H,wt=22): 6801 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(2839(a,1),6589(a,1,1)),flip(a)]. given #7696 (H,wt=22): 6816 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(2414(a,1),6208(a,1,2))]. given #7697 (H,wt=22): 6824 K(x,x \ 1) * (y * K(x \ 1,x)) != z * u | y / u = z. [para(3087(a,2),6501(a,1))]. given #7698 (H,wt=22): 6825 K(x \ 1,x) * (y * K(x,x \ 1)) != z * u | y / u = z. [para(3099(a,2),6501(a,1))]. given #7699 (H,wt=22): 6843 (x \ (1 / y)) * x != (1 / y) * z | K(y \ (x \ 1),x) = z. [para(5944(a,1),19(a,1))]. given #7700 (H,wt=22): 6847 (x \ (1 / y)) * z != (1 / y) / x | K(x,x \ (y \ 1)) = z. [para(6072(a,1),19(a,1)),flip(a)]. given #7701 (H,wt=22): 6860 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6737(a,2),6835(a,1))]. given #7702 (H,wt=22): 6898 (x * y) \ T(y * x,z) != u | K(y,x) * K(y * x,z) = u. [para(6857(a,1),282(a,1,2)),flip(b)]. given #7703 (H,wt=22): 7030 T(x,y) * T(z,x) != x * u | T(T(x,y) * (x \ z),x) = u. [para(6940(a,1),167(a,2)),flip(a)]. given #7704 (H,wt=22): 7066 K(x \ 1,((x \ 1) \ 1) * y) != z | K(x \ 1,x * y) = z. [para(3617(a,1),7061(a,1,2))]. given #7705 (H,wt=22): 7092 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7078(a,1),4997(a,1,2,1)),flip(a)]. given #7706 (H,wt=17): 8651 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(227,a,4997,a(flip),b,7092,a)]. given #7707 (H,wt=17): 8652 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(5994(a,1),8651(a,1,2))]. given #7708 (H,wt=20): 8653 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5625(a,1),8652(a,1,2,1))]. given #7709 (H,wt=22): 7162 (x \ T(y,z)) * x != u * w | T((x \ y) * x,z) / w = u. [para(7150(a,1),393(a,1,1))]. given #7710 (H,wt=22): 7199 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(227,a,6563,a(flip),b,6910,a)]. given #7711 (H,wt=22): 7219 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(7173(a,2),7157(a,1))]. given #7712 (H,wt=22): 7298 (K(x,y) * z) * K(u,y) != w | K(x,y) * (z * K(u,y)) = w. [para(7276(a,1),209(a,1,2))]. given #7713 (H,wt=22): 7349 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(183(a,1),7314(a,1,2,1)),flip(a)]. given #7714 (H,wt=16): 8655 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(227,a,8094,a(flip),b,7349,a(flip))]. given #7715 (H,wt=22): 7354 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(3569(a,1),7346(a,1,2,1)),flip(a)]. given #7716 (H,wt=22): 7594 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(7545(a,1),5017(a,1,2))]. given #7717 (H,wt=18): 8656 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(2475(a,1),7594(a,1,1))]. given #7718 (H,wt=18): 8657 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(8656(a,1),7009(a,1,1,2)),flip(a)]. given #7719 (H,wt=14): 8658 K(x * L(y,z,y),y) = K(y * x,y). [hyper(227,a,7006,a(flip),b,8657,a)]. given #7720 (H,wt=14): 8660 K(x * (L(x,y,x) \ z),x) = K(z,x). [hyper(227,a,7322,a(flip),b,8658,a(flip))]. given #7721 (H,wt=16): 8661 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(8660(a,1),4978(a,1,1,2))]. given #7722 (H,wt=14): 8662 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(8661(a,1),5024(a,1,1)),flip(a)]. given #7723 (H,wt=14): 8663 T(x,L(x,y,x) * z) = T(x,x * z). [para(13(a,1),8662(a,1,2,2)),flip(a)]. given #7724 (H,wt=16): 8665 T(x,L(x,y,x) * z) = x * K(x,x * z). [hyper(227,a,4996,a(flip),b,8663,a)]. given #7725 (H,wt=14): 8667 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5047,a,8665,a)]. given #7726 (H,wt=22): 7689 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7478(a,1),5163(a,1,1)),flip(a)]. given #7727 (H,wt=22): 7711 (x * x) * y != x * (x * K(z,u)) | T(K(z,u),x * x) = y. [para(7520(a,1),167(a,2))]. given #7728 (H,wt=22): 7757 K(1 / x,(1 / (1 / x)) * y) != z | K(1 / x,y * x) = z. [para(6105(a,2),7751(a,1))]. given #7729 (H,wt=22): 7760 K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. [para(7345(a,1),5804(a,1,2))]. given #7730 (H,wt=22): 7774 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(2681(a,1),7541(a,1,1))]. given #7731 (H,wt=22): 7775 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(2681(a,1),7542(a,1,2))]. given #7732 (H,wt=22): 7805 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(7371(a,1),40(a,2,1))]. given #7733 (H,wt=22): 7807 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(7371(a,1),5852(a,1)),flip(b)]. given #7734 (H,wt=22): 7809 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7461(a,2),7416(a,1,2))]. given #7735 (H,wt=22): 7813 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(6902(a,1),7675(a,1,2))]. given #7736 (H,wt=22): 7837 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7412(a,2),6835(a,1))]. given #7737 (H,wt=22): 7849 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(219(a,1),7845(a,2,2,2))]. given #7738 (H,wt=22): 7865 K((x \ y) * y,T(z,y \ x)) != u | K((x / y) \ y,z) = u. [para(7580(a,2),6329(a,1))]. given #7739 (H,wt=22): 7901 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),7895(a,1,2)),flip(a)]. given #7740 (H,wt=21): 8672 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(720(a,1),7901(a,1,2))]. given #7741 (H,wt=10): 8673 K(x,a(K(x,y),z,u)) = 1. [hyper(227,a,6575,a(flip),b,8672,a(flip))]. given #7742 (H,wt=10): 8675 K(a(K(x,y),z,u),x) = 1. [hyper(71,a,8673,a,b,5094,a),flip(a)]. given #7743 (H,wt=10): 8676 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,8673,a)]. given #7744 (H,wt=15): 8677 K(x,a(K(x,y),z,u)) * w != v5 | v5 = w. [para(8673(a,2),74(a,1,1))]. given #7745 (H,wt=15): 8678 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(37,a,8675,a)]. given #7746 (H,wt=17): 8679 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(8676(a,1),113(a,1,2))]. given #7747 (H,wt=21): 8680 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8676(a,1),5994(a,1,2,1)),flip(a)]. given #7748 (H,wt=21): 8681 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8678(a,1),5994(a,1,2,1)),flip(a)]. given #7749 (H,wt=22): 7923 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6386(a,1),7891(a,1,2,1))]. given #7750 (H,wt=22): 7924 K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. [para(6592(a,1),7891(a,1,2,1,2))]. given #7751 (H,wt=22): 7930 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(7835(a,1),19(a,1))]. given #7752 (H,wt=22): 8075 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(170(a,1),8072(a,1,1)),flip(a)]. given #7753 (H,wt=22): 8121 K(x,R(x,y,z) * (u \ 1)) != w | K(x,u \ R(x,y,z)) = w. [para(6024(a,2),6609(a,1))]. given #7754 (H,wt=22): 8128 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(72,a,6864,a(flip),b,5801,a),flip(a)]. given #7755 (H,wt=22): 8134 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(8131(a,1),2306(a,1,1))]. given #7756 (H,wt=22): 8213 x * T(T(x,y \ 1),y \ 1) != z | ((y * x) * x) / y = z. [para(6233(a,2),1880(a,1))]. given #7757 (H,wt=22): 8232 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(8229(a,2),7899(a,1))]. given #7758 (H,wt=22): 8399 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(72,a,8311,a(flip),b,5801,a),flip(a)]. given #7759 (H,wt=22): 8407 x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z * y)) = u. [para(7231(a,2),6198(a,1))]. given #7760 (H,wt=22): 8419 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8418(a,2),5001(a,1,2))]. given #7761 (H,wt=17): 8685 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8419,a,8606,a)]. given #7762 (H,wt=22): 8426 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(227,a,7371,a(flip),b,8424,a(flip))]. given #7763 (H,wt=22): 8448 x * K(y,z) != u * K(w,z) | u * (K(w,z) * K(z,y)) = x. [para(8437(a,1),20(a,2)),flip(b)]. given #7764 (H,wt=22): 8458 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(8449(a,1),6499(a,1,1)),flip(b)]. given #7765 (H,wt=22): 8464 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(8457(a,1),19(a,1)),flip(a)]. given #7766 (H,wt=22): 8465 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(8457(a,1),293(a,1,1)),flip(b)]. given #7767 (H,wt=22): 8483 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(227,a,7235,a(flip),b,8480,a(flip))]. given #7768 (H,wt=22): 8484 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8480(a,1),100(a,1,2))]. given #7769 (H,wt=22): 8502 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(110(a,1),8501(a,1,1)),flip(a)]. given #7770 (H,wt=22): 8644 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6082(a,2),5179(a,1))]. given #7771 (H,wt=22): 8650 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(227,a,6559,a(flip),b,6801,a)]. given #7772 (H,wt=16): 8689 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(227,a,8242,a(flip),b,8650,a(flip)),flip(a)]. given #7773 (H,wt=16): 8691 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),8689(a,1,2,2)),flip(a)]. given #7774 (H,wt=16): 8692 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(227,a,7143,a(flip),b,8691,a(flip)),flip(a)]. given #7775 (H,wt=16): 8694 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),8692(a,1,2,2)),flip(a)]. given #7776 (H,wt=20): 8695 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(227,a,7407,a,b,8694,a)]. given #7777 (H,wt=16): 8696 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7671,a,8695,a)]. given #7778 (H,wt=16): 8697 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),8696(a,1,2,2)),flip(a)]. given #7779 (H,wt=16): 8699 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7690,a,8697,a)]. given #7780 (H,wt=16): 8700 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(65(a,1),8699(a,1,2,2)),flip(a)]. given #7781 (H,wt=16): 8701 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7741,a,8700,a),flip(a)]. given #7782 (H,wt=17): 8698 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(109(a,1),8696(a,1,2,2))]. given #7783 (H,wt=17): 8702 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7430,a,8698,a)]. given #7784 (H,wt=17): 8704 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(227,a,7428,a,b,8702,a)]. given #7785 (H,wt=17): 8705 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(7119(a,2),8704(a,1,2))]. given #7786 (H,wt=21): 8703 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(8698(a,1),7459(a,1,1))]. given #7787 (H,wt=17): 8706 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(7726,a,8703,a),flip(a)]. given #7788 (H,wt=17): 8707 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),8706(a,1,2,2,1)),flip(a)]. given #7789 (H,wt=17): 8708 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(6715,a,8707,a),flip(a)]. given #7790 (H,wt=22): 8669 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(7658,a,7774,a),flip(a)]. given #7791 (H,wt=16): 8709 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(227,a,8414,a(flip),b,8669,a(flip)),flip(a)]. given #7792 (H,wt=16): 8711 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),8709(a,1,2,2)),flip(a)]. given #7793 (H,wt=16): 8712 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(227,a,7735,a,b,8711,a(flip)),flip(a)]. given #7794 (H,wt=17): 8714 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(136(a,1),8712(a,1,2,2)),flip(a)]. given #7795 (H,wt=17): 8715 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(523(a,1),8712(a,1,2,2))]. given #7796 (H,wt=17): 8716 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(227,a,7226,a(flip),b,8714,a(flip)),flip(a)]. given #7797 (H,wt=17): 8717 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),8716(a,1,2,2,2)),flip(a)]. given #7798 (H,wt=22): 8670 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(227,a,6555,a,b,7805,a)]. given #7799 (H,wt=22): 8683 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(8128(a,1),6446(a,1,2))]. given #7800 (H,wt=22): 8687 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(7280(a,1),8484(a,2,2))]. given #7801 (H,wt=22): 8688 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7585,a,8502,a)]. given #7802 (H,wt=19): 8721 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(227,a,7202,a(flip),b,8688,a),flip(a)]. given #7803 (H,wt=15): 8722 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(65(a,1),8721(a,1,1,1)),flip(a)]. given #7804 (H,wt=15): 8723 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),8722(a,1,1,2)),flip(a)]. given #7805 (H,wt=16): 8725 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(8723(a,1),8526(a,1))]. given #7806 (H,wt=22): 8719 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(6555(a,2),8670(a,1,1))]. given #7807 (H,wt=19): 8726 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6295,a,8719,a)]. given #7808 (H,wt=17): 8727 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(227,a,8035,a(flip),b,8726,a)]. given #7809 (H,wt=17): 8729 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),8727(a,1,2,1,1)),flip(a)]. given #7810 (H,wt=19): 8730 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(2312(a,1),8729(a,1,2,1)),flip(a)]. given #7811 (H,wt=20): 8728 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(8726(a,2),8045(a,1))]. given #7812 (H,wt=23): 5865 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(73,a,1636,a(flip),b,5789,a)]. given #7813 (H,wt=23): 6145 ((x \ y) * T(z,y \ x)) * (x \ y) = (x \ y) * ((x \ y) * z). [para(6040(a,1),1276(a,1,1,2))]. given #7814 (H,wt=23): 6302 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(102(a,2),6207(a,1,2,1))]. given #7815 (H,wt=23): 6316 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(5638(a,2),6294(a,1))]. given #7816 (H,wt=23): 6361 L(T(x,y / z),u,w) * (z / y) = (1 / (z / y)) \ L(x,u,w). [para(40(a,2),6157(a,1,1))]. given #7817 (H,wt=19): 8733 (1 / (x / y)) \ L(z,y,y) = L((y / x) \ z,y,y). [hyper(2675,a,6361,a),flip(a)]. given #7818 (H,wt=18): 8734 (x / y) / ((y * z) \ y) = L((y / x) \ z,y,y). [hyper(1663,a,8733,a)]. given #7819 (H,wt=22): 8735 L((x / y) \ (x * (1 / z)),x,x) = (y / x) / (z * (1 / x)). [para(2181(a,1),8734(a,1,2)),flip(a)]. given #7820 (H,wt=23): 6448 T(x \ y,x) * (K(y,(1 / x) * y) * z) = ((1 / x) * y) * z. [para(1339(a,2),6427(a,1,1))]. given #7821 (H,wt=19): 8736 T(x \ y,x) * (K(x,y) * z) = ((1 / x) * y) * z. [para(5395(a,1),6448(a,1,2,1))]. given #7822 (H,wt=23): 6449 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(2229(a,1),6427(a,1,2))]. given #7823 (H,wt=23): 6472 (1 / x) * ((K(y,z) * (1 / x)) \ u) = (K(z,y) * (u / x)) * x. [para(6443(a,1),2603(a,2,1))]. given #7824 (H,wt=23): 6529 R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. [para(6497(a,1),595(a,1,1))]. given #7825 (H,wt=23): 6530 ((K(x,y) / z) * u) \ K(x,y) = K(y,x) * ((u * K(y,x)) \ z). [para(6497(a,1),5134(a,2,2,1))]. given #7826 (H,wt=23): 6585 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(227,a,5479,a,b,6559,a(flip)),flip(a)]. given #7827 (H,wt=23): 6625 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3035(a,1),6508(a,1,2,2))]. given #7828 (H,wt=21): 8740 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(227,a,6630,a(flip),b,6625,a(flip))]. given #7829 (H,wt=23): 6657 (x * (1 / (x * y))) \ K(z,u) = (x * (y * (1 / x))) * K(z,u). [para(5550(a,1),6543(a,1,1))]. given #7830 (H,wt=23): 6705 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5447(a,1),6517(a,1,1))]. given #7831 (H,wt=23): 6706 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5449(a,1),6517(a,1,1))]. given #7832 (H,wt=22): 8741 K(R(x,y,z),x * (u \ 1)) != w | K(R(x,y,z),u \ x) = w. [para(5565(a,1),6706(a,1))]. given #7833 (H,wt=23): 6711 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [para(1201(a,1),6595(a,1,2)),flip(a)]. given #7834 (H,wt=21): 8743 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(227,a,8636,a(flip),b,6711,a(flip))]. given #7835 (H,wt=19): 8745 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(227,a,6608,a(flip),b,8743,a)]. given #7836 (H,wt=19): 8746 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(227,a,6354,a,b,8745,a(flip)),flip(a)]. given #7837 (H,wt=19): 8748 K(x,R(T(x,y),z,u) / w) = K(x,R(x,z,u) / w). [hyper(6853,a,8746,a(flip)),flip(a)]. given #7838 (H,wt=22): 8749 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. [para(8748(a,2),6609(a,1))]. given #7839 (H,wt=23): 6728 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(2446(a,1),6505(a,1,1))]. given #7840 (H,wt=23): 6729 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(3509(a,1),6505(a,1,1))]. given #7841 (H,wt=23): 6750 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(6587(a,1),3200(a,1,2))]. given #7842 (H,wt=23): 6800 ((K(x,y) / z) * u) \ K(w,v5) = (u \ (z * K(y,x))) * K(w,v5). [para(5106(a,1),6542(a,1,1,2)),flip(a)]. given #7843 (H,wt=23): 6839 K(T(x,y) \ 1,y \ 1) * ((1 / T(x,y)) * z) = (1 / x) * z. [para(1578(a,1),5834(a,2,1))]. given #7844 (H,wt=19): 8753 K(T(x,y),y) * ((1 / T(x,y)) * z) = (1 / x) * z. [para(5379(a,1),6839(a,1,1))]. given #7845 (H,wt=17): 8754 K(x,y) * ((1 / T(x,y)) * z) = (1 / x) * z. [para(5082(a,1),8753(a,1,1))]. given #7846 (H,wt=19): 8755 T(x,y) * ((1 / T(x,y)) * z) = x * ((1 / x) * z). [para(8754(a,1),5747(a,1,2)),flip(a)]. given #7847 (H,wt=23): 6867 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(213,a,6841,a)]. given #7848 (H,wt=23): 6878 (x * ((x \ y) * K(z,u))) \ 1 = (K(u,z) * (y \ x)) * (x \ 1). [para(6851(a,1),125(a,1,1))]. given #7849 (H,wt=23): 6905 (x * ((x \ y) * K(z,u))) \ 1 = (K(u,z) * x) * ((y * x) \ 1). [para(6877(a,1),125(a,1,1))]. given #7850 (H,wt=23): 6915 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5817(a,1),6911(a,1,1,2))]. given #7851 (H,wt=23): 6922 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(6253(a,1),6914(a,1,1))]. given #7852 (H,wt=21): 8760 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(227,a,6914,a(flip),b,6922,a(flip))]. given #7853 (H,wt=23): 6948 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(6943(a,1),2638(a,1,1)),flip(a)]. given #7854 (H,wt=23): 7081 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7072(a,1),6819(a,1,3))]. given #7855 (H,wt=21): 8762 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6420(a,1),7081(a,1,2))]. given #7856 (H,wt=19): 8763 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(6420(a,1),8762(a,2,2))]. given #7857 (H,wt=22): 8764 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(8763(a,1),461(a,1,2)),flip(a)]. given #7858 (H,wt=22): 8765 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(1240(a,1),8764(a,1,2,1))]. given #7859 (H,wt=22): 8766 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(1240(a,1),8765(a,2,2,2))]. given #7860 (H,wt=23): 7096 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7087(a,1),176(a,1,2,1))]. given #7861 (H,wt=23): 7097 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7087(a,1),1951(a,1,2,1))]. given #7862 (H,wt=23): 7105 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(7088(a,1),6342(a,1,2,1))]. given #7863 (H,wt=23): 7169 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5659(a,1),7152(a,1,1))]. given #7864 (H,wt=23): 7177 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(4948(a,1),7158(a,1,1,1)),flip(a)]. given #7865 (H,wt=19): 8770 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(92(a,1),7177(a,1,2,1)),flip(a)]. given #7866 (H,wt=19): 8771 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(8770(a,1),16(a,1,1))]. given #7867 (H,wt=19): 8772 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(6684(a,1),8771(a,1,1))]. given #7868 (H,wt=23): 7220 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(227,a,4681,a,b,7194,a(flip)),flip(a)]. given #7869 (H,wt=21): 8773 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(7220(a,1),6731(a,1,2))]. given #7870 (H,wt=20): 8774 K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. [para(8773(a,1),8407(a,1))]. given #7871 (H,wt=23): 7227 K(T(x,y * (z * K(u,w))),w) = (v5 * K(w,T(x,y * z))) \ v5. [para(7204(a,1),6454(a,1,1,2)),flip(a)]. given #7872 (H,wt=19): 8775 K(T(x,y * (z * K(u,w))),w) = K(x,T(w,y * z)). [hyper(227,a,6584,a(flip),b,7227,a)]. given #7873 (H,wt=22): 8776 K(T(x,y * (z * K(u,w))),w) != v5 | K(x,T(w,y * z)) = v5. [para(7227(a,2),6708(a,1))]. given #7874 (H,wt=23): 7288 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7278(a,1),5459(a,1,1,1,2)),flip(a)]. given #7875 (H,wt=19): 8777 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(7288(a,2),6706(a,1))]. given #7876 (H,wt=23): 7379 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(7376(a,1),7247(a,1,1))]. given #7877 (H,wt=23): 7457 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5460(a,1),7434(a,1,2)),flip(a)]. given #7878 (H,wt=21): 8778 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [hyper(7636,a,7457,a),flip(a)]. given #7879 (H,wt=23): 7458 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7434(a,2),5724(a,1,1))]. given #7880 (H,wt=23): 7512 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(72,a,7485,a(flip),b,4900,a(flip))]. given #7881 (H,wt=23): 7687 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(6591(a,1),7464(a,1,2,2))]. given #7882 (H,wt=23): 7691 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(7489(a,1),175(a,1,2,1)),flip(a)]. given #7883 (H,wt=23): 7693 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(227,a,6850,a(flip),b,7496,a)]. given #7884 (H,wt=23): 7769 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(2298(a,1),7511(a,1,2,2))]. given #7885 (H,wt=23): 7770 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(7599(a,1),7514(a,1,1))]. given #7886 (H,wt=21): 8784 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(227,a,6390,a(flip),b,7770,a)]. given #7887 (H,wt=23): 7789 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(7768(a,1),7668(a,1,2)),flip(a)]. given #7888 (H,wt=19): 8786 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(227,a,7411,a(flip),b,7789,a)]. given #7889 (H,wt=17): 8787 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(7577,a,8786,a)]. given #7890 (H,wt=17): 8788 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),8787(a,1,2,2)),flip(a)]. given #7891 (H,wt=23): 7804 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(227,a,7235,a(flip),b,7371,a(flip))]. given #7892 (H,wt=21): 8790 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(50(a,1),7804(a,2,1))]. given #7893 (H,wt=23): 7806 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(7371(a,1),100(a,1,2))]. given #7894 (H,wt=23): 7815 K(L(x \ y,x,z / y),x) != u | K((z / y) \ (x \ z),x) = u. [para(483(a,2),7802(a,1,1))]. given #7895 (H,wt=23): 7827 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7297(a,1),7488(a,1,2))]. given #7896 (H,wt=23): 7855 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5333(a,1),7513(a,2,2))]. given #7897 (H,wt=21): 8793 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(227,a,7476,a(flip),b,7855,a)]. given #7898 (H,wt=17): 8794 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(65(a,1),8793(a,1,2,2,1,2))]. given #7899 (H,wt=17): 8795 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(227,a,8327,a(flip),b,8794,a(flip)),flip(a)]. given #7900 (H,wt=23): 7876 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(2461(a,1),7680(a,1,2,2,2))]. given #7901 (H,wt=19): 8796 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(7809,a,7876,a),flip(a)]. given #7902 (H,wt=23): 7983 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(7040(a,1),7973(a,1,1))]. given #7903 (H,wt=23): 7985 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7563(a,2),7973(a,1,2))]. given #7904 (H,wt=17): 8798 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8519,a,7985,a),flip(a)]. given #7905 (H,wt=15): 8800 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4964(a,1),8798(a,1,2,2)),flip(a)]. given #7906 (H,wt=15): 8802 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(227,a,7974,a,b,8800,a(flip)),flip(a)]. given #7907 (H,wt=17): 8801 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(6508(a,1),8798(a,1,2,2))]. given #7908 (H,wt=21): 8804 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8801(a,1),6454(a,1,1,2)),flip(a)]. given #7909 (H,wt=17): 8805 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(227,a,6454,a(flip),b,8804,a)]. given #7910 (H,wt=19): 8806 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(227,a,6915,a(flip),b,8805,a(flip)),flip(a)]. given #7911 (H,wt=17): 8808 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(227,a,6911,a(flip),b,8806,a)]. given #7912 (H,wt=17): 8809 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5199(a,1),8808(a,1,2,1))]. given #7913 (H,wt=17): 8810 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(7555(a,1),8808(a,1,2)),flip(a)]. given #7914 (H,wt=17): 8811 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(227,a,6916,a(flip),b,8809,a(flip)),flip(a)]. given #7915 (H,wt=17): 8813 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(13(a,1),8811(a,1,1,2)),flip(a)]. given #7916 (H,wt=23): 8000 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(871(a,1),7988(a,1,2,2))]. given #7917 (H,wt=21): 8815 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(7784,a,8000,a)]. given #7918 (H,wt=19): 8816 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(7641,a,8815,a),flip(a)]. given #7919 (H,wt=17): 8817 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(227,a,7768,a(flip),b,8816,a)]. given #7920 (H,wt=17): 8818 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(227,a,7725,a(flip),b,8817,a(flip)),flip(a)]. given #7921 (H,wt=17): 8819 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(7690,a,8818,a)]. given #7922 (H,wt=19): 8821 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(227,a,8534,a,b,8819,a(flip)),flip(a)]. given #7923 (H,wt=19): 8822 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7466,a,8821,a)]. given #7924 (H,wt=21): 8820 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8818(a,1),7407(a,1,2))]. given #7925 (H,wt=17): 8823 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(7675,a,8820,a),flip(a)]. given #7926 (H,wt=17): 8824 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(227,a,7738,a(flip),b,8823,a(flip)),flip(a)]. given #7927 (H,wt=17): 8825 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),8823(a,1,2,2,1)),flip(a)]. given #7928 (H,wt=22): 8826 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),8825(a,1,2,2)),flip(a)]. given #7929 (H,wt=21): 8827 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(720(a,1),8826(a,1,2,2))]. given #7930 (H,wt=12): 8828 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(7650,a,8827,a),flip(a)]. given #7931 (H,wt=14): 8830 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(8828(a,1),4996(a,2,2))]. given #7932 (H,wt=12): 8831 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(227,a,4996,a,b,8830,a)]. given #7933 (H,wt=23): 8038 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(8032(a,1),7561(a,1,1,2))]. given #7934 (H,wt=19): 8833 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(227,a,7561,a(flip),b,8038,a(flip))]. given #7935 (H,wt=19): 8834 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(227,a,8047,a(flip),b,8833,a(flip)),flip(a)]. given #7936 (H,wt=23): 8113 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8111(a,2),6508(a,2,1)),flip(a)]. given #7937 (H,wt=23): 8143 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7236(a,1),461(a,1,2)),flip(a)]. given #7938 (H,wt=23): 8159 L(K(x,x \ (y \ z)),y \ z,y) != u | K(x,y \ (x \ z)) = u. [para(7370(a,2),7899(a,1))]. given #7939 (H,wt=23): 8185 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(227,a,2719,a(flip),b,5829,a)]. given #7940 (H,wt=23): 8186 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(227,a,2720,a(flip),b,5830,a)]. given #7941 (H,wt=23): 8191 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(62(a,1),8190(a,2,1,2))]. given #7942 (H,wt=23): 8214 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6332(a,1),4005(a,1,2))]. given #7943 (H,wt=23): 8264 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(227,a,2578,a,b,7176,a(flip)),flip(a)]. given #7944 (H,wt=23): 8299 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5464(a,1),8291(a,1,1,2)),flip(a)]. given #7945 (H,wt=23): 8360 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(227,a,8274,a,b,8347,a)]. given #7946 (H,wt=23): 8380 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(8375(a,1),6574(a,1,2,2))]. given #7947 (H,wt=23): 8398 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4941(a,1),8371(a,1,2,1)),flip(a)]. given #7948 (H,wt=23): 8466 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [hyper(6829,a,8460,a),flip(a)]. given #7949 (H,wt=23): 8511 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),7834(a,1,1,1,1)),flip(a)]. given #7950 (H,wt=20): 8843 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(227,a,8130,a(flip),b,8511,a(flip))]. given #7951 (H,wt=23): 8512 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(2312(a,1),7866(a,1,2,1))]. given #7952 (H,wt=21): 8844 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8585(a,1),8512(a,2,2))]. given #7953 (H,wt=21): 8845 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(227,a,7866,a,b,8844,a),flip(a)]. given #7954 (H,wt=19): 8846 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(227,a,7871,a(flip),b,8845,a(flip))]. given #7955 (H,wt=19): 8847 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(227,a,7942,a,b,8846,a(flip)),flip(a)]. given #7956 (H,wt=19): 8848 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(114(a,1),8847(a,1,2,1))]. given #7957 (H,wt=23): 8530 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(8116(a,1),3116(a,1,1)),flip(a)]. given #7958 (H,wt=23): 8549 K((1 / x) * y,x \ 1) * (((1 / x) * y) / z) = (y / x) / z. [para(1533(a,1),8545(a,2,1))]. given #7959 (H,wt=17): 8850 K(x,y) * (((1 / x) * y) / z) = (y / x) / z. [para(5941(a,1),8549(a,1,1))]. given #7960 (H,wt=17): 8851 K(x,y) * (1 / (z * (y \ x))) = (y / x) / z. [para(328(a,1),8850(a,1,2))]. given #7961 (H,wt=15): 8852 K(x,y) / (z * (y \ x)) = (y / x) / z. [hyper(6480,a,8851,a)]. given #7962 (H,wt=23): 8578 L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x * (y \ z),y,y). [hyper(227,a,4059,a,b,8577,a(flip)),flip(a)]. given #7963 (H,wt=23): 8591 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,8589,a)]. given #7964 (H,wt=23): 8600 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8420(a,2),7475(a,1,1))]. given #7965 (H,wt=21): 8854 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(7432(a,1),8600(a,1,1,1)),flip(a)]. given #7966 (H,wt=21): 8855 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8418(a,1),8854(a,2,1))]. given #7967 (H,wt=19): 8856 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(227,a,5004,a,b,8855,a)]. given #7968 (H,wt=17): 8857 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(7703,a,8856,a),flip(a)]. given #7969 (H,wt=17): 8858 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(227,a,8685,a(flip),b,8857,a(flip))]. given #7970 (H,wt=17): 8859 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(7502,a,8858,a)]. given #7971 (H,wt=20): 8861 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(8859(a,1),7502(a,1))]. given #7972 (H,wt=20): 8862 T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8857(a,2),8861(a,1))]. given #7973 (H,wt=23): 8623 ((x \ (y / z)) \ 1) \ (z * (y \ 1)) = (z \ y) \ ((z \ y) / x). [hyper(227,a,5420,a,b,8622,a(flip)),flip(a)]. given #7974 (H,wt=23): 8649 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(7292(a,1),6573(a,2,1))]. given #7975 (H,wt=21): 8864 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(7920(a,1),8649(a,1,2,2))]. given #7976 (H,wt=19): 8865 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [hyper(227,a,6620,a(flip),b,8864,a(flip))]. given #7977 (H,wt=23): 8732 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5810(a,1),5865(a,1,1,2)),flip(a)]. given #7978 (H,wt=23): 8737 K(x \ y,x) * ((x \ y) * (K(x,y) * z)) = ((1 / x) * y) * z. [hyper(6271,a,8736,a)]. given #7979 (H,wt=21): 8866 K(x \ y,x) * ((y * (x \ 1)) * z) = ((1 / x) * y) * z. [para(8223(a,1),8737(a,1,2))]. given #7980 (H,wt=23): 8738 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(227,a,6559,a(flip),b,6585,a)]. given #7981 (H,wt=23): 8751 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5810(a,1),6729(a,1,1,1)),flip(a)]. given #7982 (H,wt=23): 8752 (x \ (y * K(z,u))) * K(u,z) = K(z,u) * ((x * K(z,u)) \ y). [hyper(227,a,6530,a(flip),b,6800,a(flip))]. given #7983 (H,wt=23): 8756 (x / y) * ((1 / (x / y)) * z) = (x \ y) * (((1 / y) * x) * z). [hyper(227,a,4076,a(flip),b,8755,a(flip))]. given #7984 (H,wt=23): 8757 ((x \ y) * K(z,u)) \ (x \ 1) = (K(u,z) * (y \ x)) * (x \ 1). [hyper(311,a,6878,a)]. given #7985 (H,wt=23): 8759 (K(x,y) * (z \ u)) * (u \ 1) = (K(x,y) * u) * ((z * u) \ 1). [hyper(227,a,6878,a(flip),b,6905,a(flip)),flip(a)]. given #7986 (H,wt=23): 8761 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(227,a,429,a(flip),b,6948,a)]. given #7987 (H,wt=23): 8769 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),7169(a,1,1,2,1)),flip(a)]. given #7988 (H,wt=23): 8779 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(7160(a,1),8778(a,1,2,1)),flip(a)]. given #7989 (H,wt=17): 8877 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(8390,a,8779,a),flip(a)]. given #7990 (H,wt=23): 8780 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7434(a,2),7458(a,2,2,1))]. given #7991 (H,wt=23): 8782 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(7704(a,1),7693(a,1,1))]. given #7992 (H,wt=23): 8785 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(72,a,8784,a(flip),b,5747,a)]. given #7993 (H,wt=21): 8881 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(227,a,8740,a(flip),b,8785,a)]. given #7994 (H,wt=23): 8797 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(227,a,7392,a(flip),b,8796,a(flip))]. given #7995 (H,wt=21): 8882 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(227,a,8500,a(flip),b,8797,a(flip)),flip(a)]. given #7996 (H,wt=21): 8883 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(6558,a,8882,a)]. given #7997 (H,wt=19): 8884 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(227,a,8034,a(flip),b,8883,a)]. given #7998 (H,wt=23): 8803 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7040(a,1),8802(a,1,1))]. given #7999 (H,wt=23): 8840 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(227,a,7194,a(flip),b,8264,a(flip)),flip(a)]. given #8000 (H,wt=23): 8841 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(6555(a,2),8398(a,2,2))]. given #8001 (H,wt=23): 8842 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(6559(a,1),8466(a,1,1,2))]. given #8002 (H,wt=23): 8870 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(8751(a,2),14(a,1,2))]. given #8003 (H,wt=15): 8887 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(8870(a,1),7042(a,1,2)),flip(a)]. given #8004 (H,wt=15): 8888 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5202(a,1),8887(a,1,2,1,1))]. given #8005 (H,wt=15): 8889 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(7515(a,1),8888(a,1,2,1))]. given #8006 (H,wt=19): 8890 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(8870(a,1),8889(a,1,2,1)),flip(a)]. given #8007 (H,wt=21): 8891 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(6425(a,1),8890(a,1,2,1,1)),flip(a)]. given #8008 (H,wt=23): 8873 (x * (y \ 1)) * ((y / x) * z) = (y \ x) * (((1 / x) * y) * z). [hyper(227,a,3368,a,b,8756,a(flip)),flip(a)]. given #8009 (H,wt=23): 8874 (K(x,y) * (z \ u)) * (u \ 1) = (K(x,y) * u) * (u \ (z \ 1)). [para(123(a,1),8759(a,2,2))]. given #8010 (H,wt=23): 8875 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(13(a,1),8761(a,1,2,2,1,2))]. given #8011 (H,wt=23): 8878 K(x,(T(y,z) / u) / (y / u)) * (y / w) = T(y,K(x,z)) / w. [para(8877(a,2),8550(a,1,1))]. given #8012 (H,wt=23): 8879 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(308,a,8780,a),flip(a)]. given #8013 (H,wt=23): 8880 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(8458,a,8782,a),flip(a)]. given #8014 (H,wt=23): 8892 ((x \ y) * K(z,u)) \ (x \ 1) = (K(u,z) * x) * (x \ (y \ 1)). [hyper(227,a,8757,a,b,8874,a(flip)),flip(a)]. given #8015 (H,wt=23): 8894 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / w) = x / w. [hyper(6490,a,8878,a)]. given #8016 (H,wt=17): 8897 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8574,a,8894,a),flip(a)]. given #8017 (H,wt=23): 8896 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7434(a,2),8879(a,1,2,1))]. given #8018 (H,wt=24): 5954 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(5918(a,1),527(a,1,2))]. given #8019 (H,wt=17): 8898 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(8438(a,1),5954(a,1,1))]. given #8020 (H,wt=16): 8901 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(227,a,1988,a(flip),b,8898,a(flip))]. given #8021 (H,wt=15): 8904 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(227,a,6306,a,b,8901,a(flip)),flip(a)]. given #8022 (H,wt=15): 8905 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),8904(a,1,2,2)),flip(a)]. given #8023 (H,wt=13): 8906 x \ R(x,T(y,x),x) = a(x,y,x). [para(161(a,1),8905(a,1,2)),flip(a)]. given #8024 (H,wt=11): 8907 x \ R(x,y,x) = a(x,y,x). [para(2534(a,1),8906(a,1,2))]. given #8025 (H,wt=11): 8910 R(x,y,x) / x = a(x,y,x). [hyper(4645,a,8907,a)]. given #8026 (H,wt=11): 8912 x * a(x,y,x) = R(x,y,x). [para(8907(a,1),14(a,1,2))]. given #8027 (H,wt=11): 8915 a(x,y,x) * x = R(x,y,x). [para(8907(a,1),4646(a,1,1))]. given #8028 (H,wt=14): 8908 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(6270,a,8907,a)]. given #8029 (H,wt=14): 8909 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(6267,a,8907,a)]. given #8030 (H,wt=14): 8913 x * a(x,y,x) != z | R(x,y,x) = z. [para(8907(a,1),205(a,1,2)),flip(b)]. given #8031 (H,wt=14): 8918 T(x * y,x) / x = y * a(x,y,x). [para(8907(a,1),6849(a,1,2)),flip(a)]. given #8032 (H,wt=14): 8919 x \ R(x,y,x) != z | a(x,y,x) = z. [para(8912(a,1),282(a,1,2)),flip(b)]. given #8033 (H,wt=14): 8920 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(6498,a,8908,a)]. given #8034 (H,wt=14): 8921 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(6490,a,8908,a)]. given #8035 (H,wt=14): 8922 K(x,x * y) * a(x,y,x) = K(x,y). [para(8908(a,1),6489(a,1,2))]. given #8036 (H,wt=14): 8923 (x * y) * a(y,x,y) = T(y * x,y). [para(8908(a,1),6857(a,1,2))]. given #8037 (H,wt=14): 8925 a(x,y,x) * (y * x) = T(x * y,x). [para(8908(a,1),8772(a,1,1))]. given #8038 (H,wt=14): 8927 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6498,a,8909,a)]. given #8039 (H,wt=14): 8936 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(227,a,5301,a,b,8921,a)]. given #8040 (H,wt=15): 8911 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(227,a,6256,a,b,8907,a(flip)),flip(a)]. given #8041 (H,wt=15): 8924 (x / y) * a(y,z,y) = x / L(y,z,y). [para(8908(a,1),8610(a,1,2))]. given #8042 (H,wt=15): 8941 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(8911(a,1),4646(a,1,1))]. given #8043 (H,wt=15): 8942 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),8924(a,1,1)),flip(a)]. given #8044 (H,wt=15): 8943 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(2709,a,8942,a)]. given #8045 (H,wt=15): 8944 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(8942(a,1),65(a,1,1))]. given #8046 (H,wt=11): 8947 a(x,y,x) \ x = L(x,y,x). [hyper(4588,a,8944,a)]. given #8047 (H,wt=15): 8945 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(227,a,6221,a(flip),b,8943,a(flip)),flip(a)]. given #8048 (H,wt=13): 8950 L(x,y,x) \ x = x \ R(x,y,x). [hyper(72,a,8912,a(flip),b,8945,a),flip(a)]. given #8049 (H,wt=15): 8946 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),8943(a,1,1)),flip(a)]. given #8050 (H,wt=15): 8949 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(2407,a,8945,a)]. given #8051 (H,wt=15): 8952 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(8949(a,1),14(a,1,2))]. given #8052 (H,wt=15): 8953 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),8952(a,1,2)),flip(a)]. given #8053 (H,wt=15): 8954 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,2394,a,b,8953,a),flip(a)]. given #8054 (H,wt=15): 8955 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(72,a,8954,a(flip),b,6222,a(flip))]. given #8055 (H,wt=16): 8929 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(8918(a,1),115(a,1,1))]. given #8056 (H,wt=16): 8935 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(14(a,1),8920(a,1,2,2))]. given #8057 (H,wt=16): 8937 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),8922(a,1,1,2))]. given #8058 (H,wt=16): 8940 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(2480(a,1),8911(a,1,2)),flip(a)]. given #8059 (H,wt=17): 8916 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(5559(a,1),8907(a,1,2)),flip(a)]. given #8060 (H,wt=17): 8933 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5787(a,2),8919(a,1))]. given #8061 (H,wt=17): 8934 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(6266(a,2),8919(a,1))]. given #8062 (H,wt=18): 8914 x * a(x,y,x) != z * u | z \ R(x,y,x) = u. [para(8907(a,1),392(a,1,2))]. given #8063 (H,wt=18): 8926 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(8908(a,1),8880(a,2,2))]. given #8064 (H,wt=18): 8956 x / a(y,z,y) != L(y,z,y) * u | y \ x = u. [para(8954(a,1),19(a,1))]. given #8065 (H,wt=18): 8957 a(x,x \ (y \ x),x) != z | a(x,y \ 1,x) = z. [para(8916(a,2),8919(a,1))]. given #8066 (H,wt=18): 8958 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(6490,a,8926,a)]. given #8067 (H,wt=19): 8951 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(227,a,8538,a,b,8945,a(flip)),flip(a)]. given #8068 (H,wt=20): 8902 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(8898(a,2),3077(a,1))]. given #8069 (H,wt=20): 8962 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(8946(a,1),8958(a,1,2)),flip(a)]. given #8070 (H,wt=21): 8917 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(8907(a,1),6600(a,1,2)),flip(a)]. given #8071 (H,wt=21): 8961 K(x * y,x) * (K(x,y) * z) != u | z * a(x,y,x) = u. [para(8958(a,1),6463(a,1,2)),flip(b)]. given #8072 (H,wt=21): 8964 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8951(a,1),6425(a,1,2))]. given #8073 (H,wt=22): 8963 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(8951(a,2),19(a,1))]. given #8074 (H,wt=23): 8928 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(227,a,2851,a,b,8918,a(flip)),flip(a)]. given #8075 (H,wt=22): 8965 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(8918(a,1),8928(a,1,1)),flip(a)]. given #8076 (H,wt=24): 6248 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6193(a,1),109(a,2,1))]. given #8077 (H,wt=22): 8966 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(7973(a,1),6248(a,1,1))]. given #8078 (H,wt=24): 6288 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(745(a,2),6152(a,1))]. given #8079 (H,wt=24): 6362 (1 / (x / y)) \ z != (x / y) * u | T(T(z,y / x),x / y) = u. [para(6157(a,1),167(a,2)),flip(a)]. given #8080 (H,wt=24): 6372 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(73,a,6215,a(flip),b,109,a)]. given #8081 (H,wt=22): 8967 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6007(a,1),6372(a,1,2))]. given #8082 (H,wt=15): 8968 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(506,a,8967,a),flip(a)]. given #8083 (H,wt=17): 8969 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(5011(a,1),8968(a,1,2)),flip(a)]. given #8084 (H,wt=24): 6471 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(6443(a,1),309(a,1,1,3))]. given #8085 (H,wt=24): 6482 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(6443(a,1),5299(a,1,1))]. given #8086 (H,wt=21): 8970 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6482(a,1),7278(a,1,1))]. given #8087 (H,wt=24): 6492 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(6444(a,1),109(a,1,2))]. given #8088 (H,wt=24): 6519 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6496(a,1),100(a,1,1))]. given #8089 (H,wt=24): 6538 ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = R(x,K(y,z),1 / u). [para(6452(a,1),30(a,2,2)),flip(a)]. given #8090 (H,wt=24): 6768 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(6766(a,1),4997(a,1,2,1))]. given #8091 (H,wt=19): 8974 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5230,a,6768,a),flip(a)]. given #8092 (H,wt=19): 8975 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(227,a,6594,a,b,8974,a(flip)),flip(a)]. given #8093 (H,wt=24): 6781 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(6591(a,1),6616(a,1,2))]. given #8094 (H,wt=24): 6815 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(1637(a,1),6208(a,1,2))]. given #8095 (H,wt=24): 6822 K(x,x \ 1) * ((1 / x) \ y) != z * u | z \ ((x \ 1) \ y) = u. [para(3601(a,1),6470(a,1,2))]. given #8096 (H,wt=24): 6826 (x * (y \ z)) * K(y,y \ z) != u * w | (x * (z / y)) / w = u. [para(6386(a,1),6501(a,1,1))]. given #8097 (H,wt=24): 6830 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(1637(a,1),6707(a,1,1))]. given #8098 (H,wt=24): 6928 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(6918(a,1),156(a,2,1)),flip(a)]. given #8099 (H,wt=17): 8978 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(227,a,6870,a(flip),b,6928,a(flip))]. given #8100 (H,wt=17): 8980 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7515(a,1),8978(a,1,3))]. given #8101 (H,wt=15): 8981 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(8644,a,8980,a)]. given #8102 (H,wt=22): 8984 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(8981(a,1),3514(a,1,1,2))]. given #8103 (H,wt=24): 6954 T(x,y) * T(T(x,y) \ z,x) != u * w | u \ ((x \ z) * x) = w. [para(6939(a,2),457(a,1))]. given #8104 (H,wt=24): 6967 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(6964(a,1),5459(a,1,1,1,2)),flip(a)]. given #8105 (H,wt=17): 8989 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(227,a,5459,a(flip),b,6967,a)]. given #8106 (H,wt=17): 8990 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(5199(a,1),8989(a,1,2,2))]. given #8107 (H,wt=24): 7055 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(882(a,1),7038(a,1,2,2))]. given #8108 (H,wt=24): 7167 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(7152(a,1),442(a,1,2))]. given #8109 (H,wt=24): 7178 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(7158(a,1),6782(a,1,1))]. given #8110 (H,wt=24): 7183 x / K(y \ z,T(z,u)) != x * w | K(z,T(y,u) \ T(z,v5)) = w. [para(7008(a,1),6526(a,1,2))]. given #8111 (H,wt=17): 8991 K(x,T(y,z) \ T(x,u)) = K(T(x,z),y \ x). [hyper(7183,a,6497,a)]. given #8112 (H,wt=20): 8992 K(x,T(y,z) \ T(x,u)) != w | K(x,T(y \ x,z)) = w. [para(8991(a,2),6709(a,1))]. given #8113 (H,wt=15): 8993 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(8992,a,7048,a),flip(a)]. given #8114 (H,wt=17): 8995 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(227,a,6035,a(flip),b,8993,a)]. given #8115 (H,wt=18): 8994 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(112(a,1),8992(a,1,2,2))]. given #8116 (H,wt=24): 7188 (x * y) * K(y,T(z,x)) != (x * y) * u | T(K(y,z),x * y) = u. [para(7118(a,2),167(a,2)),flip(a)]. given #8117 (H,wt=24): 7191 K((x \ y) * y,T(z,y * y)) != u | K((x \ y) * y,T(z,x)) = u. [para(938(a,1),7190(a,1,2,2))]. given #8118 (H,wt=17): 8996 K((x \ y) * y,T(z,x)) = K((x \ y) * y,z). [hyper(7191,a,7712,a)]. given #8119 (H,wt=15): 8997 K((x \ y) * y,z) = K(y * (y / x),z). [hyper(7663,a,8996,a),flip(a)]. given #8120 (H,wt=19): 8998 K(x * (x / y),T(z,x \ y)) = K((y / x) \ x,z). [hyper(7865,a,8997,a),flip(a)]. given #8121 (H,wt=23): 8999 K((x / y) \ y,y \ (x / y)) = K(y * (y / x),y \ (y \ x)). [para(1285(a,1),8998(a,1,2)),flip(a)]. given #8122 (H,wt=23): 9000 K(x \ (y * y),(y * y) \ x) = K(y * (y / x),y \ (y \ x)). [hyper(227,a,5689,a(flip),b,8999,a(flip)),flip(a)]. given #8123 (H,wt=24): 7384 T(x,y) * T(z,K(x,y)) != K(x,y) * u | T(x * z,K(x,y)) = u. [para(7342(a,2),167(a,2)),flip(a)]. given #8124 (H,wt=24): 7547 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1851(a,1),7526(a,1,2))]. given #8125 (H,wt=15): 9002 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7547(a,1),7669(a,1,2))]. given #8126 (H,wt=24): 7562 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7515(a,1),720(a,1,2,1)),flip(a)]. given #8127 (H,wt=24): 7665 K(x * K(T(x,y),z),T(u,y)) != w | K(K(y,x) * T(x,z),u) = w. [para(7211(a,1),7647(a,1,1))]. given #8128 (H,wt=24): 7688 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(7468(a,1),5457(a,1,2,1))]. given #8129 (H,wt=24): 7734 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(7732(a,1),5494(a,1,1,1,2))]. given #8130 (H,wt=22): 9005 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4996(a,2),7734(a,1,1,1))]. given #8131 (H,wt=18): 9006 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6734,a,9005,a)]. given #8132 (H,wt=24): 7748 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(6595(a,1),7652(a,1))]. given #8133 (H,wt=24): 7787 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(7730(a,1),210(a,1,2))]. given #8134 (H,wt=24): 7860 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(774,a,7858,a)]. given #8135 (H,wt=24): 7867 x * K(T(x,y),R(z,u,w)) != v5 | T(x,R((y * z) / y,u,w)) = v5. [para(7593(a,1),5001(a,1,2))]. given #8136 (H,wt=24): 7932 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(6307(a,1),7840(a,1,1))]. given #8137 (H,wt=24): 7933 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(166,a,7857,a(flip),b,2553,a(flip))]. given #8138 (H,wt=21): 9007 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(7933(a,1),1969(a,1,2))]. given #8139 (H,wt=24): 7967 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(4656(a,1),7963(a,1,1,2))]. given #8140 (H,wt=24): 8019 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(7972(a,1),276(a,1,2))]. given #8141 (H,wt=24): 8141 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(5212(a,1),7200(a,1,1))]. given #8142 (H,wt=24): 8153 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(6455(a,1),7274(a,1,2,1,2)),flip(a)]. given #8143 (H,wt=24): 8157 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(7052(a,1),7370(a,1,1))]. given #8144 (H,wt=19): 9012 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(227,a,7370,a(flip),b,8157,a(flip))]. given #8145 (H,wt=19): 9013 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(113(a,1),9012(a,1,2,1)),flip(a)]. given #8146 (H,wt=17): 9015 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [hyper(227,a,8094,a(flip),b,9013,a(flip))]. given #8147 (H,wt=17): 9016 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(227,a,8093,a(flip),b,9013,a(flip))]. given #8148 (H,wt=15): 9018 K(x,y \ (z * x)) = K(x,(x / y) * z). [hyper(7755,a,9016,a),flip(a)]. given #8149 (H,wt=17): 9017 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(16(a,1),9015(a,1,2,1)),flip(a)]. given #8150 (H,wt=17): 9019 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(227,a,7376,a(flip),b,9016,a)]. given #8151 (H,wt=19): 9022 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(9019(a,1),4996(a,2,2))]. given #8152 (H,wt=20): 9023 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(9022(a,2),5001(a,1))]. given #8153 (H,wt=21): 9020 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(2396(a,1),9018(a,1,2)),flip(a)]. given #8154 (H,wt=23): 9014 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(160(a,1),9012(a,1,2,1,2)),flip(a)]. given #8155 (H,wt=24): 8158 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7314(a,1),7370(a,1,1))]. given #8156 (H,wt=24): 8161 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(8082(a,1),7370(a,1,1))]. given #8157 (H,wt=24): 8162 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8083(a,1),7370(a,1,1))]. given #8158 (H,wt=24): 8166 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(2391(a,1),7803(a,1,2)),flip(a)]. given #8159 (H,wt=24): 8168 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(2396(a,1),8167(a,1,2))]. given #8160 (H,wt=24): 8171 K(x,(y / R(y,z,u)) \ x) != w | K(x,x * (y \ R(y,z,u))) = w. [para(4656(a,2),8169(a,1,2,1))]. given #8161 (H,wt=24): 8180 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8031(a,1),7964(a,1,1))]. given #8162 (H,wt=24): 8181 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(8026(a,1),42(a,2,1))]. given #8163 (H,wt=24): 8225 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(6624(a,1),19(a,1)),flip(a)]. given #8164 (H,wt=24): 8235 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(6770(a,2),6558(a,1))]. given #8165 (H,wt=24): 8394 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(7443(a,1),8388(a,1,1,2))]. given #8166 (H,wt=24): 8400 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8311(a,1),5845(a,1,1)),flip(a)]. given #8167 (H,wt=24): 8413 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7338(a,1),6517(a,1,1))]. given #8168 (H,wt=24): 8544 K(x,y) * ((1 / x) \ z) != u * w | u \ ((1 / T(x,y)) \ z) = w. [para(8541(a,1),6470(a,1,2))]. given #8169 (H,wt=24): 8596 (x * (y * z)) \ K(y \ x,x \ y) = L(z,y,x) \ (1 / (x * y)). [hyper(227,a,1104,a(flip),b,8393,a(flip))]. given #8170 (H,wt=24): 8631 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8613(a,1),6464(a,1,2))]. given #8171 (H,wt=24): 8654 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(7611(a,1),7199(a,1,1))]. given #8172 (H,wt=24): 8668 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(6508(a,1),7689(a,1,1,2)),flip(a)]. given #8173 (H,wt=24): 8814 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(8667(a,1),8813(a,1,1))]. given #8174 (H,wt=20): 9028 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [hyper(227,a,8813,a(flip),b,8814,a(flip))]. given #8175 (H,wt=24): 8886 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(8841(a,2),7812(a,1))]. given #8176 (H,wt=24): 8971 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(6482(a,1),7312(a,1,2))]. given #8177 (H,wt=24): 9003 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(6555(a,2),7562(a,1,1))]. given #8178 (H,wt=23): 9029 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(227,a,8654,a(flip),b,9003,a(flip)),flip(a)]. given #8179 (H,wt=24): 9004 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(72,a,7688,a(flip),b,8020,a(flip))]. given #8180 (H,wt=24): 9009 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(6998(a,1),8141(a,1,1))]. given #8181 (H,wt=19): 9032 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(227,a,5860,a(flip),b,9009,a(flip))]. given #8182 (H,wt=19): 9033 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(7566,a,9032,a)]. given #8183 (H,wt=23): 9035 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(9033(a,1),6454(a,1,1,2))]. given #8184 (H,wt=19): 9036 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(6517,a,9035,a)]. given #8185 (H,wt=24): 9025 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(227,a,6555,a,b,8181,a)]. given #8186 (H,wt=24): 9026 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(227,a,8732,a,b,8668,a)]. given #8187 (H,wt=24): 9027 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(6571(a,1),8668(a,1,1))]. given #8188 (H,wt=24): 9037 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(6555(a,2),9025(a,1,1))]. given #8189 (H,wt=21): 9041 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(227,a,5857,a(flip),b,9037,a(flip))]. given #8190 (H,wt=17): 9043 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(227,a,6220,a(flip),b,9041,a(flip))]. given #8191 (H,wt=17): 9044 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(227,a,8078,a,b,9043,a)]. given #8192 (H,wt=17): 9045 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(62(a,1),9043(a,1,2,1,1)),flip(a)]. given #8193 (H,wt=17): 9046 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(62(a,1),9044(a,1,2,1,1)),flip(a)]. given #8194 (H,wt=17): 9047 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(7928,a,9045,a)]. given #8195 (H,wt=19): 9048 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(227,a,8089,a(flip),b,9046,a(flip))]. given #8196 (H,wt=17): 9050 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(6715,a,9048,a),flip(a)]. given #8197 (H,wt=21): 9049 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(62(a,1),9047(a,1,2,1)),flip(a)]. given #8198 (H,wt=19): 9052 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7648,a,9049,a)]. given #8199 (H,wt=19): 9053 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(227,a,9036,a(flip),b,9052,a(flip)),flip(a)]. given #8200 (H,wt=24): 9038 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(38(a,1),9026(a,1,1,2))]. given #8201 (H,wt=25): 5785 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(227,a,5138,a(flip),b,5747,a)]. given #8202 (H,wt=25): 6014 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(5968(a,1),4809(a,2,2))]. given #8203 (H,wt=25): 6146 ((x \ y) \ 1) * ((x \ y) \ T(z,y \ x)) = ((x \ y) \ z) / (x \ y). [para(6040(a,1),3470(a,1,2,2))]. given #8204 (H,wt=23): 9057 ((x \ y) * (x \ y)) * T(z,x \ y) = ((y \ x) \ z) / (y \ x). [hyper(227,a,3985,a(flip),b,6146,a(flip)),flip(a)]. given #8205 (H,wt=19): 9058 ((x \ y) \ z) / (x \ y) = ((y \ x) * z) * (y \ x). [hyper(227,a,3339,a(flip),b,9057,a(flip))]. given #8206 (H,wt=22): 9059 ((x \ y) \ z) / (x \ y) != u * (y \ x) | (y \ x) * z = u. [para(9058(a,2),20(a,1))]. given #8207 (H,wt=23): 9061 ((x \ y) \ K(y \ x,z)) / (x \ y) = T(y \ x,z) * (y \ x). [para(4996(a,2),9058(a,2,1))]. given #8208 (H,wt=21): 9062 T((x \ y) \ 1,z) / (x \ y) = T(y \ x,z) * (y \ x). [para(5895(a,1),9061(a,1,1))]. given #8209 (H,wt=21): 9063 (x \ y) \ T(1 / (x \ y),z) = T(y \ x,z) * (y \ x). [hyper(7205,a,9062,a)]. given #8210 (H,wt=21): 9064 (x \ y) \ T((1 / y) * x,z) = T(y \ x,z) * (y \ x). [para(313(a,1),9063(a,1,2,1))]. given #8211 (H,wt=21): 9065 (x \ y) \ T((1 / y) * x,z) = (y \ x) * T(y \ x,z). [hyper(227,a,187,a(flip),b,9064,a)]. given #8212 (H,wt=24): 9066 (x \ y) \ T((1 / y) * x,z) != u | (y \ x) * T(y \ x,z) = u. [para(9064(a,2),397(a,1))]. given #8213 (H,wt=25): 6178 K((x * y) * z,a(x,y,z)) != u | K(x * (y * z),(x * y) * z) = u. [para(24(a,2),6177(a,1,2))]. given #8214 (H,wt=25): 6227 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5504,a,6055,a),flip(a)]. given #8215 (H,wt=21): 9067 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6263(a,1),6227(a,1,1))]. given #8216 (H,wt=25): 6241 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5469(a,1),6148(a,1,2)),flip(a)]. given #8217 (H,wt=15): 9068 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(5265(a,1),6241(a,1,2,2))]. given #8218 (H,wt=25): 6250 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(6193(a,1),5074(a,1,2))]. given #8219 (H,wt=23): 9069 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(5795(a,1),6250(a,1,2,2)),flip(a)]. given #8220 (H,wt=21): 9070 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(9069(a,2),1157(a,1))]. given #8221 (H,wt=25): 6252 (1 / (x * y)) * ((y \ (x \ 1)) \ z) = K(x * y,y \ (x \ 1)) * z. [para(248(a,1),6195(a,1,1,1))]. given #8222 (H,wt=23): 9071 (1 / (x * y)) * ((y \ (x \ 1)) \ z) = K(y \ x,x \ y) * z. [para(8370(a,1),6252(a,2,1))]. given #8223 (H,wt=25): 6278 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(109(a,1),5966(a,1,1))]. given #8224 (H,wt=25): 6312 K(x,((y * z) * u) \ (y * (z * u))) != w | K(x,a(y,z,u) \ 1) = w. [para(134(a,1),6291(a,1,2,2))]. given #8225 (H,wt=25): 6459 ((1 / K(x,y)) \ z) * (u * K(x,y)) = K(y,x) \ ((z * u) * K(x,y)). [hyper(227,a,47,a,b,6443,a),flip(a)]. given #8226 (H,wt=23): 9073 K(x,y) \ ((z * u) * K(y,x)) = (K(x,y) \ z) * (u * K(y,x)). [para(5101(a,1),6459(a,1,1,1)),flip(a)]. given #8227 (H,wt=23): 9074 K(x,y) \ ((z * u) * K(y,x)) = (K(y,x) * z) * (u * K(y,x)). [para(6443(a,1),9073(a,2,1))]. given #8228 (H,wt=23): 9075 (K(x,y) * z) * (u * K(x,y)) = K(x,y) * ((z * u) * K(x,y)). [hyper(6491,a,9074,a),flip(a)]. given #8229 (H,wt=19): 9077 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [hyper(4574,a,9075,a(flip)),flip(a)]. given #8230 (H,wt=10): 9082 R(x,y,K(z \ 1,z)) = x. [hyper(495,a,9077,a)]. given #8231 (H,wt=10): 9089 R(x,K(y \ 1,y),z) = x. [hyper(227,a,4884,a,b,9082,a(flip)),flip(a)]. given #8232 (H,wt=10): 9090 R(x,y,K(z,z \ 1)) = x. [para(2257(a,1),9082(a,1,3))]. given #8233 (H,wt=13): 9087 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(4589,a,9082,a),flip(a)]. given #8234 (H,wt=13): 9095 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(4325,a,9090,a)]. given #8235 (H,wt=13): 9098 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(227,a,4612,a(flip),b,9090,a(flip))]. given #8236 (H,wt=13): 9101 T(x,K(y \ 1,y) * z) = T(x,z). [para(3099(a,2),9087(a,1,2))]. given #8237 (H,wt=13): 9102 T(x,K(y,y \ 1) * z) = T(x,z). [para(3721(a,1),9087(a,1,2)),flip(a)]. given #8238 (H,wt=13): 9105 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(62(a,1),9095(a,1,3)),flip(a)]. given #8239 (H,wt=15): 9103 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(3881(a,1),9087(a,1,2)),flip(a)]. given #8240 (H,wt=15): 9110 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3583(a,1),9098(a,1,2))]. given #8241 (H,wt=15): 9113 T(x,K(y \ z,z \ y) * u) = T(x,u). [para(3444(a,1),9101(a,1,2,1))]. given #8242 (H,wt=16): 9115 (x \ (y / z)) \ (x \ y) = R(z,y \ 1,x). [hyper(3286,a,9105,a)]. given #8243 (H,wt=17): 9111 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4506(a,1),9098(a,1,2))]. given #8244 (H,wt=19): 9078 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [hyper(4561,a,9075,a(flip)),flip(a)]. given #8245 (H,wt=14): 9122 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(464,a,9078,a)]. given #8246 (H,wt=14): 9124 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(8608,a,9122,a)]. given #8247 (H,wt=17): 9120 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(4507,a,9078,a)]. given #8248 (H,wt=17): 9126 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(72,a,9120,a(flip),b,2255,a(flip))]. given #8249 (H,wt=17): 9128 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(72,a,9126,a(flip),b,2402,a(flip)),flip(a)]. given #8250 (H,wt=17): 9129 (x \ (1 / L(x,y,z))) * x = L(x,y,z) \ 1. [para(9128(a,1),259(a,1,1))]. given #8251 (H,wt=16): 9130 x \ (1 / L(x,y,y)) = ((y * x) \ y) / x. [hyper(73,a,1025,a(flip),b,9129,a),flip(a)]. given #8252 (H,wt=15): 9131 ((x * y) \ x) / y = y \ (x \ (x / y)). [para(1033(a,1),9130(a,1,2)),flip(a)]. given #8253 (H,wt=18): 9132 (1 / x) * L(1 / x,y,y) = x \ (y \ (y / x)). [hyper(227,a,1720,a,b,9131,a(flip)),flip(a)]. given #8254 (H,wt=17): 9133 (1 / x) * (y \ (y / x)) = x \ (y \ (y / x)). [para(1371(a,1),9132(a,1,2))]. given #8255 (H,wt=19): 9079 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(3725,a,9077,a)]. given #8256 (H,wt=19): 9080 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(3108,a,9077,a)]. given #8257 (H,wt=19): 9081 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [hyper(600,a,9077,a)]. given #8258 (H,wt=19): 9083 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(227,a,3113,a,b,9077,a)]. given #8259 (H,wt=19): 9086 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(4637,a,9082,a)]. given #8260 (H,wt=19): 9088 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3759,a,9082,a),flip(a)]. given #8261 (H,wt=19): 9091 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(9082(a,1),3115(a,1,1))]. given #8262 (H,wt=19): 9093 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(9089(a,1),109(a,1,1)),flip(a)]. given #8263 (H,wt=10): 9144 L(x,K(y \ 1,y),z) = x. [hyper(464,a,9093,a)]. given #8264 (H,wt=10): 9147 L(x,K(y,y \ 1),z) = x. [para(2257(a,1),9144(a,1,2))]. given #8265 (H,wt=10): 9152 a(x,K(y,y \ 1),z) = 1. [hyper(34,a,9147,a)]. given #8266 (H,wt=12): 9148 L(x,K(y \ z,z \ y),u) = x. [para(3444(a,1),9144(a,1,2))]. given #8267 (H,wt=19): 9099 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(9090(a,1),491(a,1,1))]. given #8268 (H,wt=19): 9100 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(9090(a,1),3112(a,1,1))]. given #8269 (H,wt=17): 9160 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(9100(a,2),8355(a,1,2))]. given #8270 (H,wt=17): 9163 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4556(a,1),9160(a,1,2)),flip(a)]. given #8271 (H,wt=19): 9109 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(3109(a,1),9098(a,1,2))]. given #8272 (H,wt=19): 9114 T(x,(((y \ 1) \ 1) \ z) * u) = T(x,(y \ z) * u). [para(4619(a,1),9101(a,1,2))]. given #8273 (H,wt=19): 9119 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(3675(a,1),9111(a,1,2,2))]. given #8274 (H,wt=19): 9121 K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). [hyper(3090,a,9078,a)]. given #8275 (H,wt=19): 9123 (x * y) * K(z,z \ 1) = x * (K(z,z \ 1) * y). [para(3087(a,2),9078(a,2,2))]. given #8276 (H,wt=17): 9170 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(9123(a,1),8355(a,1,2))]. given #8277 (H,wt=19): 9125 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(9124(a,1),5059(a,1,1))]. given #8278 (H,wt=19): 9135 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [para(3099(a,2),9079(a,1,2,2))]. given #8279 (H,wt=19): 9137 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(3721(a,1),9079(a,1,2,2))]. given #8280 (H,wt=19): 9139 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(3099(a,2),9086(a,1,2))]. given #8281 (H,wt=19): 9140 x / (y * K(z,z \ 1)) = K(z,z \ 1) * (x / y). [para(5378(a,1),9086(a,1,2,2))]. given #8282 (H,wt=19): 9142 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(4652,a,9091,a)]. given #8283 (H,wt=17): 9181 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(9142(a,2),9087(a,1,2))]. given #8284 (H,wt=19): 9153 (x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z). [hyper(227,a,6469,a(flip),b,9147,a(flip)),flip(a)]. given #8285 (H,wt=19): 9154 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(9147(a,1),100(a,1,2))]. given #8286 (H,wt=19): 9155 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [hyper(227,a,3087,a,b,9099,a)]. given #8287 (H,wt=19): 9157 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(227,a,3087,a,b,9100,a)]. given #8288 (H,wt=19): 9161 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(3542(a,1),9160(a,1,2,2))]. given #8289 (H,wt=19): 9162 K(x,y \ (z \ (1 / u))) = K(x,y \ (z \ (u \ 1))). [para(3880(a,1),9160(a,1,2,2))]. given #8290 (H,wt=19): 9164 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(3651(a,1),9163(a,1,2,1))]. given #8291 (H,wt=19): 9169 K(x,x \ 1) * (y * (K(x,x \ 1) * z)) = y * z. [para(9123(a,1),5388(a,1,2))]. given #8292 (H,wt=19): 9173 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(3711(a,1),9170(a,1,2,2)),flip(a)]. given #8293 (H,wt=19): 9174 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(227,a,2408,a(flip),b,9125,a(flip)),flip(a)]. given #8294 (H,wt=19): 9179 x / (K(y,y \ 1) * z) = K(y,y \ 1) * (x / z). [para(5378(a,1),9139(a,1,2,1))]. given #8295 (H,wt=19): 9180 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(227,a,3099,a,b,9142,a)]. given #8296 (H,wt=19): 9183 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(3649(a,1),9181(a,1,2,1)),flip(a)]. given #8297 (H,wt=19): 9184 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(3651(a,1),9181(a,1,2,1))]. given #8298 (H,wt=19): 9185 (x * K(y,y \ 1)) \ z = K(y,y \ 1) * (x \ z). [para(5378(a,1),9153(a,2,1))]. given #8299 (H,wt=19): 9190 K(x,y \ ((z \ u) \ 1)) = K(x,y \ ((u \ 1) * z)). [para(749(a,1),9161(a,1,2,2))]. given #8300 (H,wt=19): 9193 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(114(a,1),9174(a,2,1))]. given #8301 (H,wt=19): 9195 (K(x,x \ 1) * y) \ z = K(x,x \ 1) * (y \ z). [para(5378(a,1),9180(a,2,1))]. given #8302 (H,wt=19): 9200 K(x,((y \ z) * u) \ 1) = K(x,u \ ((z \ 1) * y)). [hyper(227,a,8154,a,b,9190,a(flip)),flip(a)]. given #8303 (H,wt=19): 9201 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(78,a,9193,a)]. given #8304 (H,wt=19): 9203 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(227,a,1801,a,b,9201,a(flip)),flip(a)]. given #8305 (H,wt=13): 9204 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(3398,a,9203,a)]. given #8306 (H,wt=10): 9205 T(x,x \ L(x,y,z)) = x. [hyper(269,a,9204,a)]. given #8307 (H,wt=13): 9206 L(x,y,z) / x = x \ L(x,y,z). [hyper(85,a,9204,a)]. given #8308 (H,wt=13): 9208 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(1042(a,1),9205(a,1,2,2))]. given #8309 (H,wt=15): 9209 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(1298,a,9206,a)]. given #8310 (H,wt=15): 9213 1 / (L(x,y,z) \ x) = x \ L(x,y,z). [hyper(577,a,9209,a)]. given #8311 (H,wt=15): 9214 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [para(9209(a,1),250(a,1,1))]. given #8312 (H,wt=15): 9216 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(227,a,8950,a(flip),b,9214,a)]. given #8313 (H,wt=16): 9210 (x \ L(x,y,z)) * x != u | L(x,y,z) = u. [para(9206(a,1),207(a,1,1)),flip(b)]. given #8314 (H,wt=17): 9211 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [para(963(a,1),9208(a,1,2,2,1))]. given #8315 (H,wt=19): 9207 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(18,a,684,a,b,9204,a)]. given #8316 (H,wt=19): 9212 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(9208(a,1),4934(a,1,2))]. given #8317 (H,wt=19): 9218 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(9211(a,1),163(a,1,2))]. given #8318 (H,wt=20): 9134 (x \ (y \ (y / x))) \ 1 != z | (y \ (y / x)) \ x = z. [para(9133(a,1),338(a,1,1))]. given #8319 (H,wt=21): 9106 R(x,y,(z * (1 / u)) \ 1) = R(x,y,(u \ 1) \ (1 / z)). [para(1120(a,1),9095(a,1,3)),flip(a)]. given #8320 (H,wt=21): 9118 T(x,K(y \ z,z \ y) / (u * w)) = T(x,w \ (u \ 1)). [hyper(6283,a,9113,a)]. given #8321 (H,wt=21): 9136 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(3566(a,1),9079(a,1,2,2))]. given #8322 (H,wt=19): 9220 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(9136(a,1),8266(a,1,1))]. given #8323 (H,wt=17): 9221 K(x * (y * (1 / z)),u) = K(x / (z / y),u). [hyper(227,a,5883,a(flip),b,9220,a)]. given #8324 (H,wt=17): 9222 K(x * ((y \ z) * (1 / z)),u) = K(x / y,u). [para(62(a,1),9221(a,2,1,2))]. given #8325 (H,wt=17): 9223 K(x * ((y \ 1) * z),u) = K(x / (z \ y),u). [para(2115(a,1),9222(a,1,1,2))]. given #8326 (H,wt=17): 9224 K(x / (y \ (1 / z)),u) = K(x * (z * y),u). [para(65(a,1),9223(a,1,1,2,1)),flip(a)]. given #8327 (H,wt=19): 9225 K((x \ (1 / y)) / z,u) = K(z * (y * x),u \ 1). [hyper(6315,a,9224,a)]. given #8328 (H,wt=21): 9141 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(3757(a,1),9088(a,2,2))]. given #8329 (H,wt=19): 9226 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(2267(a,1),9141(a,1,1)),flip(a)]. given #8330 (H,wt=21): 9156 (x \ (1 / y)) * K(z,z \ 1) = x \ (z * (1 / (y * z))). [para(3665(a,1),9099(a,1,2)),flip(a)]. given #8331 (H,wt=21): 9166 (x \ 1) * (y * K(z,z \ 1)) = ((x \ z) * (1 / z)) * y. [hyper(4640,a,9121,a)]. given #8332 (H,wt=21): 9167 K(x,x \ 1) * (y * (1 / z)) = y * (x * (1 / (z * x))). [para(3665(a,1),9121(a,2,2))]. given #8333 (H,wt=21): 9178 K(x,x \ 1) * (y * (z \ 1)) = y * ((z \ x) * (1 / x)). [para(3676(a,1),9137(a,2,2))]. given #8334 (H,wt=19): 9234 ((x / y) \ z) * (1 / z) = y * ((x \ z) * (1 / z)). [hyper(227,a,3686,a(flip),b,9178,a(flip)),flip(a)]. given #8335 (H,wt=19): 9235 (((x / y) / z) \ x) * (1 / x) = z * (y * (1 / x)). [para(65(a,1),9234(a,2,2,1))]. given #8336 (H,wt=19): 9238 (x \ ((x * y) * z)) * (1 / x) = y * (z * (1 / x)). [para(1883(a,1),9235(a,1,1))]. given #8337 (H,wt=19): 9239 (x * (y * (1 / z))) / (1 / z) = z \ ((z * x) * y). [hyper(85,a,9238,a)]. given #8338 (H,wt=19): 9242 (1 / x) / (y \ (z \ (1 / x))) = x \ ((x * z) * y). [hyper(227,a,1175,a(flip),b,9239,a(flip)),flip(a)]. given #8339 (H,wt=19): 9244 1 / ((x \ (y \ (1 / z))) * z) = z \ ((z * y) * x). [hyper(349,a,9242,a)]. given #8340 (H,wt=19): 9246 (x \ ((x * y) * z)) \ 1 = (z \ (y \ (1 / x))) * x. [para(9244(a,1),65(a,1,1))]. given #8341 (H,wt=19): 9247 (x \ ((x * (1 / y)) * z)) \ 1 = (z \ (y / x)) * x. [para(339(a,1),9246(a,2,1,2))]. given #8342 (H,wt=19): 9249 (x \ 1) * ((y * (x \ 1)) \ z) = (y \ (z / x)) * x. [hyper(227,a,3221,a(flip),b,9247,a(flip)),flip(a)]. given #8343 (H,wt=16): 9254 x / ((y \ (x / z)) * z) = R(y,z \ 1,x). [para(9249(a,1),1332(a,2,2)),flip(a)]. given #8344 (H,wt=17): 9251 (x * (y \ (z / x))) * x = (y * (x \ 1)) \ z. [hyper(2002,a,9249,a)]. given #8345 (H,wt=17): 9256 (x * (y \ 1)) \ (z * y) = (y * (x \ z)) * y. [para(15(a,1),9251(a,1,1,2,2)),flip(a)]. given #8346 (H,wt=20): 9243 x \ ((x * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). [para(1318(a,1),9239(a,1,1,2)),flip(a)]. given #8347 (H,wt=19): 9258 (x * (y / z)) / (1 / z) = ((z * (1 / y)) / x) \ z. [hyper(227,a,1890,a(flip),b,9243,a(flip))]. given #8348 (H,wt=21): 9186 K(x,x \ 1) * ((1 / y) \ z) = y / ((z \ x) * (1 / x)). [hyper(227,a,5586,a(flip),b,9155,a(flip))]. given #8349 (H,wt=19): 9262 x / ((y \ z) * (1 / z)) = (z * (1 / (x * z))) \ y. [hyper(227,a,5618,a(flip),b,9186,a(flip))]. given #8350 (H,wt=21): 9187 K(x,x \ 1) * (y \ (1 / z)) = y \ (x * (1 / (z * x))). [para(3665(a,1),9155(a,1,2)),flip(a)]. given #8351 (H,wt=21): 9191 K(x,x \ 1) * (y * ((z \ x) * (1 / x))) = y * (z \ 1). [para(3676(a,1),9169(a,1,2,2))]. given #8352 (H,wt=21): 9194 K(x,x \ 1) * (y / (x * z)) = y / T(z * x,x \ 1). [para(3586(a,1),9179(a,1,2)),flip(a)]. given #8353 (H,wt=21): 9197 K(x,x \ 1) * (y \ (1 / z)) = ((y \ x) * (1 / x)) / z. [hyper(5588,a,9185,a),flip(a)]. given #8354 (H,wt=19): 9266 ((x \ y) * (1 / y)) / z = x \ (y * (1 / (z * y))). [hyper(227,a,9187,a(flip),b,9197,a(flip))]. given #8355 (H,wt=19): 9268 (x * y) \ (x * (1 / (z * x))) = (y \ (1 / x)) / z. [para(1003(a,1),9266(a,1,1)),flip(a)]. given #8356 (H,wt=19): 9269 (x \ y) \ (x * (1 / (z * x))) = ((y \ 1) * x) / z. [para(2115(a,1),9266(a,1,1)),flip(a)]. given #8357 (H,wt=19): 9271 ((x \ 1) * y) / (z \ y) = (y \ x) \ ((y \ 1) * z). [para(3356(a,1),9269(a,1,2)),flip(a)]. given #8358 (H,wt=19): 9272 (x \ (1 / y)) \ ((x \ 1) * z) = (y * x) / (z \ x). [para(65(a,1),9271(a,1,1,1)),flip(a)]. given #8359 (H,wt=21): 9202 (K(x,x \ 1) * y) \ (z \ 1) = ((z * y) \ x) * (1 / x). [hyper(227,a,3685,a(flip),b,9195,a)]. given #8360 (H,wt=21): 9217 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [para(9214(a,1),1908(a,1,2)),flip(a)]. given #8361 (H,wt=17): 9274 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(291,a,9217,a),flip(a)]. given #8362 (H,wt=17): 9276 1 / (x * L(x,y,z)) = x \ (L(x,y,z) \ 1). [hyper(72,a,9274,a(flip),b,4487,a(flip)),flip(a)]. given #8363 (H,wt=17): 9277 (x \ (L(x,y,z) \ 1)) \ 1 = x * L(x,y,z). [para(9276(a,1),65(a,1,1))]. given #8364 (H,wt=15): 9278 (x \ 1) \ L(x,y,z) = x * L(x,y,z). [hyper(227,a,4494,a(flip),b,9277,a(flip)),flip(a)]. given #8365 (H,wt=21): 9219 R(x,y,(1 / z) \ (u \ 1)) = R(x,y,(z \ 1) \ (1 / u)). [para(123(a,1),9106(a,1,3))]. given #8366 (H,wt=21): 9240 (1 / x) \ (y * (z * (1 / x))) = ((x * y) * z) * (x \ 1). [hyper(72,a,9238,a(flip),b,1554,a)]. given #8367 (H,wt=21): 9265 (1 / x) \ (y * (1 / (z * y))) = K(y,y \ 1) * (x / z). [para(339(a,1),9187(a,1,2)),flip(a)]. given #8368 (H,wt=21): 9270 K(x,y) \ (y * (1 / (z * y))) = K(y * x,y \ 1) / z. [para(5606(a,1),9266(a,1,1)),flip(a)]. given #8369 (H,wt=19): 9283 K(x * y,x \ 1) / z = T(x,y) * (1 / (z * x)). [hyper(6440,a,9270,a),flip(a)]. given #8370 (H,wt=19): 9284 T(x,x \ y) * (1 / (z * x)) = K(y,x \ 1) / z. [para(14(a,1),9283(a,1,1,1)),flip(a)]. given #8371 (H,wt=21): 9280 T(((x * y) * z) * (x \ 1),x) = (y * (z * (1 / x))) * x. [para(9240(a,1),621(a,1,1))]. given #8372 (H,wt=19): 9286 (x * (y * (1 / z))) * z = (1 / z) * ((z * x) * y). [hyper(1415,a,9280,a),flip(a)]. given #8373 (H,wt=22): 9116 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(9105(a,1),109(a,1,1))]. given #8374 (H,wt=22): 9159 x \ (K(y,y \ 1) * z) != u | K(y,y \ 1) * (x \ z) = u. [para(9100(a,2),3090(a,1))]. given #8375 (H,wt=22): 9188 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(9157(a,2),3093(a,1))]. given #8376 (H,wt=22): 9196 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(227,a,7354,a,b,9184,a(flip)),flip(a)]. given #8377 (H,wt=22): 9259 ((x * (1 / y)) / (z * (1 / y))) \ x = R(z,1 / y,y / x). [hyper(1165,a,9258,a),flip(a)]. given #8378 (H,wt=21): 9292 R(x,1 / y,(1 / y) \ (z \ 1)) = R(x,1 / y,y / z). [hyper(227,a,1837,a(flip),b,9259,a(flip)),flip(a)]. given #8379 (H,wt=21): 9293 R(x,1 / y,(y \ 1) \ (1 / z)) = R(x,1 / y,y / z). [hyper(227,a,9219,a(flip),b,9292,a(flip)),flip(a)]. given #8380 (H,wt=22): 9260 ((x * (1 / y)) / L(z,x,x)) \ x = (x \ ((x / y) / z)) \ 1. [hyper(227,a,1893,a(flip),b,9258,a(flip))]. given #8381 (H,wt=22): 9288 x * ((1 / x) * ((x * y) * z)) = ((1 / x) \ y) * L(z,x,x). [para(9286(a,1),1383(a,1,2))]. given #8382 (H,wt=20): 9295 ((1 / x) \ y) * L(z,x,x) = (((x / z) / y) / x) \ x. [hyper(2248,a,9288,a),flip(a)]. given #8383 (H,wt=22): 9291 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),9196(a,1,2,2)),flip(a)]. given #8384 (H,wt=22): 9294 ((x * (1 / y)) / L(z,x,x)) \ x = (1 / x) * ((x * z) * y). [hyper(227,a,2247,a(flip),b,9260,a)]. given #8385 (H,wt=20): 9297 (L(x,y,y) / y) * (y * z) = (1 / y) * ((y * x) * z). [hyper(1696,a,9294,a)]. given #8386 (H,wt=19): 9298 (x * (1 / y)) * (y * z) = (1 / y) * ((y * x) * z). [para(1381(a,1),9297(a,1,1))]. given #8387 (H,wt=23): 9076 (x * y) * K(z \ u,u \ z) = x * (y * K(z \ u,u \ z)). [hyper(4578,a,9075,a(flip)),flip(a)]. given #8388 (H,wt=23): 9084 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(9077(a,1),4575(a,1,1))]. given #8389 (H,wt=23): 9085 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(9077(a,1),4613(a,1,1))]. given #8390 (H,wt=23): 9107 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(227,a,4434,a(flip),b,9098,a)]. given #8391 (H,wt=23): 9138 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(9083(a,1),9081(a,1,2))]. given #8392 (H,wt=23): 9168 (x * (K(y,y \ 1) * z)) / u = K(y,y \ 1) * ((x * z) / u). [para(9123(a,1),4617(a,1,1))]. given #8393 (H,wt=23): 9171 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(9123(a,1),9099(a,1,2))]. given #8394 (H,wt=23): 9172 K(x,x \ 1) * (y * (z * u)) = y * (z * (K(x,x \ 1) * u)). [para(9123(a,1),9121(a,2,2))]. given #8395 (H,wt=23): 9182 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(9137(a,1),9142(a,1,1))]. given #8396 (H,wt=23): 9227 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5008(a,1),9226(a,1,2)),flip(a)]. given #8397 (H,wt=19): 9312 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5186(a,1),9227(a,1,2)),flip(a)]. given #8398 (H,wt=23): 9236 (x * ((y \ z) * (1 / z))) \ 1 = (1 / z) \ (((y / x) \ z) \ 1). [para(9234(a,1),123(a,1,1))]. given #8399 (H,wt=23): 9237 (x \ 1) * (((y \ 1) \ z) * (1 / z)) = ((y \ x) \ z) * (1 / z). [para(253(a,1),9234(a,1,1,1)),flip(a)]. given #8400 (H,wt=23): 9250 ((x \ ((x * (1 / y)) * z)) / u) \ 1 = u * ((z \ (y / x)) * x). [para(9247(a,1),125(a,2,2))]. given #8401 (H,wt=22): 9316 (L(1 / x,y,y) * (z / y)) \ 1 = y * ((z \ (x / y)) * y). [para(1614(a,1),9250(a,1,1))]. given #8402 (H,wt=21): 9317 ((x \ (x / y)) * (z / x)) \ 1 = x * ((z \ (y / x)) * x). [para(1371(a,1),9316(a,1,1,1))]. given #8403 (H,wt=21): 9318 (x / y) \ ((y \ (y / z)) \ 1) = y * ((x \ (z / y)) * y). [hyper(311,a,9317,a)]. given #8404 (H,wt=18): 9319 x * ((y \ (z / x)) * x) = (y / x) \ L(z,x,x). [para(1031(a,1),9318(a,1,2)),flip(a)]. given #8405 (H,wt=23): 9289 (1 / (x * y)) * (((x * y) * y) * y) = (1 / (x / y)) * (x * y). [para(3416(a,1),9286(a,1,1)),flip(a)]. given #8406 (H,wt=23): 9302 K(x \ y,y \ x) / (z \ u) = (K(x \ y,y \ x) / u) * z. [hyper(18,a,1173,a,b,9076,a),flip(a)]. given #8407 (H,wt=23): 9303 (K(x \ y,y \ x) / (z * u)) * z = K(x \ y,y \ x) / u. [hyper(18,a,1176,a(flip),b,9076,a)]. given #8408 (H,wt=23): 9307 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(4668(a,2),9107(a,1,2))]. given #8409 (H,wt=21): 9321 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3121(a,1),9307(a,1,2,1))]. given #8410 (H,wt=21): 9322 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(227,a,4442,a(flip),b,9321,a(flip)),flip(a)]. given #8411 (H,wt=23): 9311 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y,y \ 1). [para(5378(a,1),9182(a,2,2))]. given #8412 (H,wt=21): 9324 ((x * y) \ z) * K(x,x \ 1) = T(y * x,x \ 1) \ z. [para(3621(a,1),9311(a,1,1)),flip(a)]. given #8413 (H,wt=23): 9314 ((x \ y) * (1 / y)) \ (z \ 1) = (1 / y) \ (((x / z) \ y) \ 1). [hyper(311,a,9236,a)]. given #8414 (H,wt=23): 9315 (x \ 1) * (y * (((y \ z) \ 1) \ 1)) = ((z \ x) \ y) * (1 / y). [para(2119(a,1),9237(a,1,2))]. given #8415 (H,wt=23): 9320 (K(x \ y,y \ x) / z) / u = K(x \ y,y \ x) / (u * z). [hyper(85,a,9303,a)]. given #8416 (H,wt=23): 9326 ((x \ y) * (1 / y)) \ (z \ 1) = y * (((y \ (x / z)) \ 1) \ 1). [hyper(227,a,3825,a(flip),b,9314,a)]. given #8417 (H,wt=23): 9327 ((x \ (1 / y)) \ z) * (1 / z) = y * (z * (((z \ x) \ 1) \ 1)). [hyper(615,a,9315,a),flip(a)]. given #8418 (H,wt=23): 9328 (((x \ 1) \ y) \ z) * (1 / z) = (y \ 1) * (z * (1 / (x * z))). [para(1062(a,1),9315(a,1,2,2)),flip(a)]. given #8419 (H,wt=23): 9331 x * (((x \ (y / (1 / z))) \ 1) \ 1) = ((y \ x) * (1 / x)) \ z. [para(65(a,1),9326(a,1,2)),flip(a)]. given #8420 (H,wt=21): 9334 ((x \ 1) \ y) * K(z,z \ 1) = ((x \ z) * (1 / z)) \ y. [hyper(3963,a,9331,a)]. given #8421 (H,wt=21): 9335 (((1 / x) \ y) * (1 / y)) \ z = (x \ z) * K(y,y \ 1). [para(65(a,1),9334(a,1,1,1)),flip(a)]. given #8422 (H,wt=23): 9333 ((x \ 1) \ y) \ K(z,z \ 1) = (y \ 1) * (z * (1 / (x * z))). [hyper(3689,a,9328,a)]. given #8423 (H,wt=24): 9215 T(x,L(y,z,u) \ y) / (L(y,z,u) \ y) = (y \ L(y,z,u)) * x. [para(9213(a,1),631(a,2,1))]. given #8424 (H,wt=24): 9232 (x \ 1) * (y * K(z,z \ 1)) != u * y | (x \ z) * (1 / z) = u. [para(9166(a,2),20(a,1))]. given #8425 (H,wt=24): 9257 (x * (y \ 1)) \ z != u * w | u \ ((y * (x \ (z / y))) * y) = w. [para(9251(a,1),457(a,1))]. given #8426 (H,wt=25): 6613 (K(x,y \ 1) * y) * (1 / y) = y * (((T(y,x \ 1) \ 1) \ 1) \ 1). [para(6474(a,1),5414(a,1,1))]. given #8427 (H,wt=23): 9339 T(x,y * x) * (1 / x) = x * (((T(x,y \ 1) \ 1) \ 1) \ 1). [para(5343(a,1),6613(a,1,1))]. given #8428 (H,wt=19): 9340 T(x,y * x) * (1 / x) = x * (1 / T(x,y \ 1)). [para(1057(a,1),9339(a,2,2))]. given #8429 (H,wt=19): 9341 T(x,x * y) * (1 / x) = x * (1 / T(x,y \ 1)). [para(2461(a,1),9340(a,1,1))]. given #8430 (H,wt=19): 9342 K(x * (x * y),x \ 1) = x * (1 / T(x,y \ 1)). [hyper(5610,a,9341,a)]. given #8431 (H,wt=19): 9343 K(x * (x * y),x \ 1) = K(x,(y \ 1) \ (x \ 1)). [hyper(227,a,5546,a,b,9342,a)]. given #8432 (H,wt=15): 9344 K(x * (x * y),x \ 1) = K(x,x \ y). [hyper(227,a,5189,a(flip),b,9343,a)]. given #8433 (H,wt=21): 9345 (x * (x * y)) / ((x * (x * y)) * x) = K(x,x \ y) / x. [hyper(73,a,9344,a(flip),b,5372,a),flip(a)]. given #8434 (H,wt=15): 9346 K(x,x \ y) / x = x \ K(x,x * y). [hyper(6838,a,9345,a),flip(a)]. given #8435 (H,wt=25): 6695 (x * y) / ((K(z,u \ 1) * x) * y) != w | K(R(u,x,y) \ 1,z) = w. [para(5580(a,1),6464(a,1,2))]. given #8436 (H,wt=20): 9347 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(8024(a,1),6695(a,1))]. given #8437 (H,wt=25): 6760 ((x \ 1) \ K(y,z)) \ (K(u,w) * v5) = (K(z,y) / x) / (v5 \ K(w,u)). [para(6641(a,1),5112(a,1,1))]. given #8438 (H,wt=25): 6797 (x \ y) * (T(T(x \ y,x),x) \ z) = (y / x) * (T(x \ y,x) \ z). [para(6433(a,1),5855(a,1,2))]. given #8439 (H,wt=25): 6846 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(5985(a,1),5670(a,1,2))]. given #8440 (H,wt=17): 9349 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(227,a,6449,a(flip),b,6846,a(flip))]. given #8441 (H,wt=11): 9352 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,9349,a)]. given #8442 (H,wt=11): 9354 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),9352(a,1,2,1))]. given #8443 (H,wt=17): 9356 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,9354,a)]. given #8444 (H,wt=18): 9359 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(156(a,2),9356(a,1,1,2))]. given #8445 (H,wt=19): 9355 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(408,a,9354,a),flip(a)]. given #8446 (H,wt=19): 9360 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(227,a,8984,a(flip),b,9359,a(flip)),flip(a)]. given #8447 (H,wt=19): 9361 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(555,a,9355,a)]. given #8448 (H,wt=19): 9364 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(227,a,9212,a(flip),b,9361,a(flip))]. given #8449 (H,wt=19): 9365 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(9361(a,1),65(a,1,1))]. given #8450 (H,wt=21): 9363 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9360(a,1),3273(a,1,1))]. given #8451 (H,wt=22): 9357 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(9354(a,1),408(a,1))]. given #8452 (H,wt=25): 6889 (x * (y * K(z,u))) * L(K(u,z),y,x) != w * v5 | (x * y) / v5 = w. [para(6881(a,1),276(a,1,2))]. given #8453 (H,wt=25): 6903 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),6868(a,2,2))]. given #8454 (H,wt=25): 7082 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7074(a,1),5363(a,1,1))]. given #8455 (H,wt=21): 9366 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7074(a,1),7082(a,1,2,2)),flip(a)]. given #8456 (H,wt=19): 9367 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(227,a,5363,a(flip),b,9366,a)]. given #8457 (H,wt=25): 7115 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(134(a,1),7113(a,1,2,2)),flip(a)]. given #8458 (H,wt=25): 7228 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(2850(a,1),7213(a,1,2)),flip(a)]. given #8459 (H,wt=25): 7259 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(7257(a,1),4965(a,1,1,1)),flip(a)]. given #8460 (H,wt=20): 9372 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(227,a,4965,a(flip),b,7259,a)]. given #8461 (H,wt=20): 9373 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(6508(a,1),9372(a,1,1))]. given #8462 (H,wt=17): 9374 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(354(a,1),9373(a,1,1,1,1))]. given #8463 (H,wt=19): 9375 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(6718(a,1),9374(a,1,1)),flip(a)]. given #8464 (H,wt=21): 9376 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(115(a,1),9375(a,1,1,2)),flip(a)]. given #8465 (H,wt=25): 7340 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7334(a,1),501(a,1,1,1)),flip(a)]. given #8466 (H,wt=17): 9377 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(464,a,7340,a)]. given #8467 (H,wt=25): 7377 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(5486(a,2),7374(a,1,2,1))]. given #8468 (H,wt=23): 9378 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(227,a,8995,a(flip),b,7377,a(flip)),flip(a)]. given #8469 (H,wt=21): 9379 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(227,a,9046,a(flip),b,9378,a),flip(a)]. given #8470 (H,wt=19): 9380 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(227,a,6035,a(flip),b,9379,a(flip))]. given #8471 (H,wt=25): 7483 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(89(a,1),7426(a,1,2,2))]. given #8472 (H,wt=25): 7621 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(5603(a,1),7600(a,1,2,1)),flip(a)]. given #8473 (H,wt=23): 9381 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(227,a,7601,a(flip),b,7621,a(flip)),flip(a)]. given #8474 (H,wt=21): 9382 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(227,a,6041,a(flip),b,9381,a)]. given #8475 (H,wt=17): 9384 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(227,a,8377,a(flip),b,9382,a)]. given #8476 (H,wt=25): 7781 (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K((1 / y) / x,x * y). [para(7582(a,1),3537(a,2,2))]. given #8477 (H,wt=25): 7794 (x * (y * z)) / K(L(y,z,x),z) != u * w | u \ (x * (z * y)) = w. [para(7256(a,2),457(a,1))]. given #8478 (H,wt=25): 7836 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(7373(a,1),6673(a,1,1))]. given #8479 (H,wt=25): 7854 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(6559(a,1),7509(a,1,1,2))]. given #8480 (H,wt=25): 7929 (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). [hyper(2303,a,7830,a),flip(a)]. given #8481 (H,wt=23): 9388 (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). [hyper(227,a,6750,a(flip),b,7929,a)]. given #8482 (H,wt=22): 9389 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(227,a,7932,a(flip),b,9388,a(flip)),flip(a)]. given #8483 (H,wt=18): 9390 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(7813,a,9389,a),flip(a)]. given #8484 (H,wt=18): 9391 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(227,a,8917,a(flip),b,9390,a(flip)),flip(a)]. given #8485 (H,wt=22): 9392 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(7532(a,1),9391(a,1,1))]. given #8486 (H,wt=25): 7953 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7896(a,1),5315(a,1,2,2))]. given #8487 (H,wt=22): 9393 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7953(a,1),5316(a,1))]. given #8488 (H,wt=25): 7975 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(142(a,1),7971(a,1,2,2)),flip(a)]. given #8489 (H,wt=25): 8002 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(871(a,1),8001(a,1,2))]. given #8490 (H,wt=25): 8103 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6007(a,1),8096(a,1,1,2)),flip(a)]. given #8491 (H,wt=25): 8124 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(227,a,4144,a(flip),b,8122,a)]. given #8492 (H,wt=23): 9397 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(1938(a,1),8124(a,1,1))]. given #8493 (H,wt=25): 8176 (x * ((y / z) * (y / z))) * K(y / z,z) = x * ((y / z) * (z \ y)). [para(115(a,1),8175(a,2,2,2))]. given #8494 (H,wt=25): 8231 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(2643(a,1),6726(a,1,1,2))]. given #8495 (H,wt=25): 8236 (((1 / x) * y) * (1 / z)) \ ((1 / x) * y) = T(T(z,y \ x),x \ y). [hyper(995,a,6812,a)]. given #8496 (H,wt=22): 9399 L(x,(1 / y) * z,(1 / y) * z) = T(T(x,z \ y),y \ z). [hyper(1322,a,8236,a)]. given #8497 (H,wt=21): 9401 ((1 / x) * y) * ((y \ x) * z) = T(T(z,y \ x),x \ y). [hyper(227,a,1398,a(flip),b,9399,a(flip)),flip(a)]. given #8498 (H,wt=22): 9400 L(x,(1 / y) * z,(1 / y) * z) = T(T(x,y \ z),z \ y). [hyper(227,a,38,a,b,9399,a)]. given #8499 (H,wt=21): 9402 L(x,(1 / y) * z,(1 / y) * z) = L(x,y \ z,y \ z). [hyper(227,a,6138,a(flip),b,9400,a)]. given #8500 (H,wt=20): 9403 ((1 / x) * y) * ((y \ x) * z) = L(z,x \ y,x \ y). [hyper(227,a,1398,a(flip),b,9402,a(flip)),flip(a)]. given #8501 (H,wt=25): 8397 x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). [para(5871(a,1),8359(a,1,2)),flip(a)]. given #8502 (H,wt=23): 9405 x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). [para(5871(a,1),8397(a,1,2))]. given #8503 (H,wt=25): 8435 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8432(a,1),469(a,1,2,1))]. given #8504 (H,wt=25): 8436 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(8432(a,1),470(a,1,2,1))]. given #8505 (H,wt=25): 8445 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(8443(a,1),492(a,1,1))]. given #8506 (H,wt=25): 8573 ((1 / x) * y) * T((1 / x) * y,z) = (y \ x) \ T((1 / x) * y,z). [para(250(a,1),8571(a,1,1)),flip(a)]. given #8507 (H,wt=23): 9410 ((1 / x) * y) * T((1 / x) * y,z) = (x \ y) * T(x \ y,z). [hyper(227,a,9065,a(flip),b,8573,a)]. given #8508 (H,wt=25): 8619 K(x,y / x) * (((y / x) * (y / x)) \ z) = ((y / x) * (x \ y)) \ z. [para(115(a,1),8618(a,2,1,2))]. given #8509 (H,wt=25): 8625 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7429(a,1),8575(a,2,2))]. given #8510 (H,wt=25): 8626 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(72,a,8587,a(flip),b,5814,a),flip(a)]. given #8511 (H,wt=25): 8632 (x \ K(y,z)) * (z * T(T(z,y),y)) = (x \ z) * (u / (T(z,y) \ u)). [hyper(227,a,6764,a,b,8621,a)]. given #8512 (H,wt=25): 8635 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5826(a,1),6464(a,1,2))]. given #8513 (H,wt=25): 8750 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(65(a,1),6728(a,1,1,1,2,1))]. given #8514 (H,wt=23): 9415 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5949(a,1),8750(a,1,1,1)),flip(a)]. given #8515 (H,wt=25): 8767 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8766(a,1),1626(a,1,1))]. given #8516 (H,wt=25): 8791 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(8790(a,1),7484(a,1,2)),flip(a)]. given #8517 (H,wt=23): 9417 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(7740,a,8791,a)]. given #8518 (H,wt=19): 9418 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(7638,a,9417,a),flip(a)]. given #8519 (H,wt=19): 9419 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(7690,a,9418,a)]. given #8520 (H,wt=25): 8838 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(227,a,4452,a,b,8191,a(flip)),flip(a)]. given #8521 (H,wt=23): 9421 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(4266(a,1),8838(a,1,1,2))]. given #8522 (H,wt=17): 9422 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(4659,a,9421,a),flip(a)]. given #8523 (H,wt=25): 8839 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(8214(a,1),453(a,1,1)),flip(a)]. given #8524 (H,wt=25): 8860 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8858(a,1),7817(a,2,2))]. given #8525 (H,wt=25): 8960 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) != z | a(x,y \ 1,x) = z. [para(8940(a,1),8957(a,1))]. given #8526 (H,wt=25): 8973 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(8433(a,1),6519(a,1,2)),flip(a)]. given #8527 (H,wt=25): 8976 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(8975(a,1),6649(a,1,1,2)),flip(a)]. given #8528 (H,wt=19): 9425 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(227,a,6682,a(flip),b,8976,a)]. given #8529 (H,wt=19): 9426 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9425(a,2,2))]. given #8530 (H,wt=19): 9427 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(1962(a,2),9426(a,1,2,1)),flip(a)]. given #8531 (H,wt=25): 9056 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(7182(a,2),6014(a,2,2))]. given #8532 (H,wt=25): 9060 T((x \ y) \ z,z) / (x \ y) = ((y \ x) * T(z,x \ y)) * (y \ x). [para(771(a,2),9058(a,1,1))]. given #8533 (H,wt=21): 9428 T((x \ y) \ z,z) / (x \ y) = (y \ x) * ((y \ x) * z). [hyper(227,a,6145,a(flip),b,9060,a)]. given #8534 (H,wt=21): 9429 ((x \ y) \ z) / T(x \ y,z) = (y \ x) * ((y \ x) * z). [hyper(227,a,7762,a(flip),b,9428,a(flip)),flip(a)]. given #8535 (H,wt=23): 9430 ((1 / x) * y) * (((1 / x) * y) * z) = (x \ y) * ((x \ y) * z). [hyper(227,a,4149,a(flip),b,9428,a(flip)),flip(a)]. given #8536 (H,wt=23): 9431 ((x \ 1) \ y) * (((x \ 1) \ y) * z) = (x * y) * ((x * y) * z). [hyper(227,a,4383,a(flip),b,9429,a(flip))]. given #8537 (H,wt=23): 9432 ((x \ y) \ 1) * (((x \ y) \ 1) * z) = (y \ x) * ((y \ x) * z). [hyper(227,a,4389,a,b,9430,a(flip)),flip(a)]. given #8538 (H,wt=25): 9072 K(x,L(y \ L(y,z,u),y,u * z)) != w | K(x,a(u,z,y) \ 1) = w. [para(490(a,2),6312(a,1,2))]. given #8539 (H,wt=25): 9117 K((x \ (1 / y)) / z,T(u,x \ (y \ 1))) = K(z \ (x \ (1 / y)),u). [para(9103(a,1),6563(a,1,2))]. given #8540 (H,wt=23): 9437 K((x \ (1 / y)) / z,T(u,y * x)) = K(z \ (x \ (1 / y)),u). [hyper(7758,a,9117,a)]. given #8541 (H,wt=23): 9438 K(x * (y * z),T(u,y * z) \ 1) = K(x \ (z \ (1 / y)),u). [hyper(227,a,9225,a(flip),b,9437,a(flip)),flip(a)]. given #8542 (H,wt=23): 9439 K(x * (y * z),T(u \ 1,y * z)) = K(x \ (z \ (1 / y)),u). [hyper(6746,a,9438,a)]. given #8543 (H,wt=22): 9440 K(x \ (y \ (1 / z)),u) != w | K((z * y) * x,u \ 1) = w. [para(9439(a,1),8290(a,1))]. given #8544 (H,wt=25): 9165 T(x,(((y \ 1) \ K(z,u)) \ w) * v5) = T(x,((y * K(z,u)) \ w) * v5). [para(6614(a,1),9114(a,1,2,1,1))]. given #8545 (H,wt=25): 9189 K(x,x \ 1) * (y \ ((z \ 1) * u)) = y \ (((z \ x) * (1 / x)) * u). [para(4615(a,1),9157(a,1,2)),flip(a)]. given #8546 (H,wt=25): 9199 K((x \ y) * z,z \ ((y \ 1) * x)) = K(z \ (x \ y),(x \ y) \ z). [hyper(8401,a,9190,a),flip(a)]. given #8547 (H,wt=25): 9233 K(x,x \ 1) * (y * ((1 / z) * u)) = y * (x * (1 / ((u \ z) * x))). [para(313(a,1),9167(a,1,2,2))]. given #8548 (H,wt=21): 9443 (1 / x) * (K(y,y \ 1) * z) = y * (1 / ((z \ x) * y)). [hyper(17,a,9172,a(flip),b,9233,a(flip)),flip(a)]. given #8549 (H,wt=25): 9281 (x \ 1) \ (((x * y) * z) * (x \ 1)) = x * (x * (y * (z * (1 / x)))). [para(9240(a,1),3377(a,1,2))]. given #8550 (H,wt=21): 9445 x * (x * (y * (z * (1 / x)))) = T((x * y) * z,x \ 1). [hyper(283,a,9281,a),flip(a)]. given #8551 (H,wt=25): 9287 T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (1 / x) * ((x * y) * y). [hyper(227,a,4081,a,b,9286,a(flip)),flip(a)]. given #8552 (H,wt=25): 9290 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(9116(a,1),20(a,1))]. given #8553 (H,wt=25): 9301 (1 / x) * ((x * (((x \ 1) \ 1) \ y)) * z) = (x \ (y / x)) * (x * z). [para(3481(a,1),9298(a,1,1)),flip(a)]. given #8554 (H,wt=23): 9446 (1 / x) * ((K(x,x \ 1) * y) * z) = (x \ (y / x)) * (x * z). [para(3662(a,1),9301(a,1,2,1))]. given #8555 (H,wt=23): 9447 (1 / x) * (K(x,x \ 1) * (y * z)) = (x \ (y / x)) * (x * z). [para(4558(a,1),9446(a,1,2))]. given #8556 (H,wt=21): 9448 (K(x,x \ 1) / x) * (y * z) = (x \ (y / x)) * (x * z). [hyper(227,a,5775,a(flip),b,9447,a(flip)),flip(a)]. given #8557 (H,wt=21): 9449 (x \ K(x,x * 1)) * (y * z) = (x \ (y / x)) * (x * z). [para(9346(a,1),9448(a,1,1))]. given #8558 (H,wt=19): 9450 (x \ K(x,x)) * (y * z) = (x \ (y / x)) * (x * z). [para(12(a,1),9449(a,1,1,2,2))]. given #8559 (H,wt=17): 9451 (x \ (y / x)) * (x * z) = (x \ 1) * (y * z). [para(128(a,1),9450(a,1,1,2)),flip(a)]. given #8560 (H,wt=22): 9453 L(x,y,y \ (z / y)) = ((y \ 1) * z) \ ((y \ 1) * (z * x)). [para(9451(a,1),2000(a,1,2)),flip(a)]. given #8561 (H,wt=18): 9454 L(x,y,y \ (z / y)) != u | L(x,z,y \ 1) = u. [para(9453(a,2),474(a,1))]. given #8562 (H,wt=20): 9455 L(x,y,z * (y \ 1)) != u | L(x,y * z,y \ 1) = u. [para(1258(a,1),9454(a,1,3))]. given #8563 (H,wt=25): 9313 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(2768(a,1),9312(a,2,2))]. given #8564 (H,wt=21): 9456 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4954(a,2),9313(a,1,2)),flip(a)]. given #8565 (H,wt=19): 9457 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(227,a,5019,a(flip),b,9456,a)]. given #8566 (H,wt=17): 9458 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3931(a,1),9457(a,1,2))]. given #8567 (H,wt=17): 9459 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(9458(a,1),65(a,1,1))]. given #8568 (H,wt=25): 9325 K(x,x \ 1) * (y / ((x * z) \ u)) = y / (T(z * x,x \ 1) \ u). [para(9324(a,1),9140(a,1,2)),flip(a)]. given #8569 (H,wt=25): 9329 (x * y) * (1 / ((z * u) * (x * y))) = (K(y \ x,x \ y) / u) / z. [hyper(227,a,8392,a,b,9320,a),flip(a)]. given #8570 (H,wt=25): 9336 ((x \ (y \ 1)) \ z) * K(u,u \ 1) = (((y * x) \ u) * (1 / u)) \ z. [para(123(a,1),9334(a,1,1,1))]. given #8571 (H,wt=25): 9337 ((x \ 1) \ y) * (K(z,z \ 1) * u) = (((x \ z) * (1 / z)) \ y) * u. [para(9334(a,1),9154(a,1,1)),flip(a)]. given #8572 (H,wt=19): 9461 ((x \ y) * (1 / y)) \ 1 = ((x \ 1) \ y) * (1 / y). [hyper(9232,a,9337,a),flip(a)]. given #8573 (H,wt=25): 9385 (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(1 / (x * y),x * y). [para(325(a,1),7781(a,2,2,1))]. given #8574 (H,wt=25): 9396 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(7291(a,2),8103(a,1,1,2))]. given #8575 (H,wt=21): 9466 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(227,a,8073,a(flip),b,9396,a(flip))]. given #8576 (H,wt=25): 9398 (x * (y * (z \ (y / z)))) * K(y / z,z) = x * ((y / z) * (z \ y)). [para(926(a,1),8176(a,1,1,2))]. given #8577 (H,wt=25): 9407 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(3078(a,2),8435(a,2,2))]. given #8578 (H,wt=25): 9408 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(6496(a,1),8436(a,1,1)),flip(a)]. given #8579 (H,wt=25): 9409 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(6884(a,1),8445(a,1,1))]. given #8580 (H,wt=25): 9412 K(x,x \ y) * (((y / x) * (y / x)) \ z) = ((y / x) * (x \ y)) \ z. [para(5085(a,1),8619(a,1,1))]. given #8581 (H,wt=25): 9413 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7434(a,1),8625(a,1,1,1))]. given #8582 (H,wt=23): 9471 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(7889(a,1),9413(a,1,1))]. given #8583 (H,wt=23): 9472 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7434(a,1),9471(a,2,1))]. given #8584 (H,wt=23): 9473 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7428(a,1),9472(a,2,2))]. given #8585 (H,wt=25): 9414 (x \ K(y,z)) * (T(z,y) * T(z,y)) = (x \ z) * (u / (T(z,y) \ u)). [para(6084(a,2),8632(a,1,2))]. given #8586 (H,wt=25): 9423 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(114(a,2),9422(a,1,2,2))]. given #8587 (H,wt=21): 9475 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(227,a,8360,a(flip),b,9423,a(flip))]. given #8588 (H,wt=19): 9476 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(7750,a,9475,a),flip(a)]. given #8589 (H,wt=19): 9477 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(227,a,8190,a,b,9476,a(flip)),flip(a)]. given #8590 (H,wt=25): 9424 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(73,a,8018,a(flip),b,8973,a)]. given #8591 (H,wt=25): 9462 ((x \ 1) \ y) * (z * K(u,u \ 1)) = (((x \ u) * (1 / u)) \ y) * z. [para(3087(a,1),9337(a,1,2))]. given #8592 (H,wt=25): 9465 (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(x * y,(x * y) \ 1). [para(5382(a,1),9385(a,2,2))]. given #8593 (H,wt=25): 9468 (x * (y * (z \ (y / z)))) * K(z \ y,z) = x * ((y / z) * (z \ y)). [para(5088(a,1),9398(a,1,2))]. given #8594 (H,wt=25): 9469 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(227,a,3074,a(flip),b,9409,a)]. given #8595 (H,wt=24): 9481 K(x,y) * L(K(z,x),u,w) != v5 | L(K(x,z),u,w) \ K(x,y) = v5. [para(9469(a,1),4588(a,1))]. given #8596 (H,wt=25): 9470 K(x,x \ y) * ((y * (x \ (y / x))) \ z) = ((y / x) * (x \ y)) \ z. [para(926(a,1),9412(a,1,2,1))]. given #8597 (H,wt=25): 9480 (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(x * y,y \ (x \ 1)). [para(123(a,1),9465(a,2,2,2))]. given #8598 (H,wt=25): 9483 (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = K(y * x,x \ (y \ 1)). [hyper(70,a,4106,a,b,9480,a(flip)),flip(a)]. given #8599 (H,wt=23): 9484 (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = K(x \ y,y \ x). [hyper(227,a,8370,a(flip),b,9483,a)]. given #8600 (H,wt=26): 5797 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5747(a,1),24(a,2,2,1)),flip(a)]. given #8601 (H,wt=26): 5972 K(x * (y * z),(y \ (x \ 1)) \ z) = K(a(x,y,z),(y * z) \ (x \ 1)). [hyper(227,a,5693,a(flip),b,5934,a(flip))]. given #8602 (H,wt=24): 9486 K(a(x,y,z),(y * z) \ (x \ 1)) = K(x * (y * z),(x * y) * z). [hyper(7754,a,5972,a),flip(a)]. given #8603 (H,wt=26): 6081 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6007(a,1),24(a,2,1,2)),flip(a)]. given #8604 (H,wt=24): 9487 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7343(a,1),6081(a,1,2))]. given #8605 (H,wt=18): 9488 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9487(a,1),825(a,1))]. given #8606 (H,wt=26): 6203 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(5894(a,1),479(a,1,1))]. given #8607 (H,wt=23): 9489 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6203(a,2),6815(a,1))]. given #8608 (H,wt=18): 9490 K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. [para(7271(a,1),9489(a,1))]. given #8609 (H,wt=18): 9491 K((x * y) \ z,y) != u | K((y * x) \ z,y) = u. [para(7362(a,2),9490(a,1))]. given #8610 (H,wt=26): 6269 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(5934(a,1),5787(a,1,1))]. given #8611 (H,wt=24): 9492 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5091(a,1),6269(a,1,2))]. given #8612 (H,wt=24): 9493 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7241(a,1),9492(a,1,2))]. given #8613 (H,wt=22): 9494 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(227,a,8907,a(flip),b,9493,a)]. given #8614 (H,wt=22): 9495 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(7242(a,1),9494(a,1,2))]. given #8615 (H,wt=18): 9496 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(9495(a,1),8933(a,1))]. given #8616 (H,wt=26): 6289 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(2392(a,1),6152(a,1,2,2))]. given #8617 (H,wt=22): 9497 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(6289,a,8166,a(flip)),flip(a)]. given #8618 (H,wt=16): 9498 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(227,a,9377,a(flip),b,9497,a(flip))]. given #8619 (H,wt=16): 9500 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9498(a,1,2,2)),flip(a)]. given #8620 (H,wt=17): 9501 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7258(a,1),9498(a,1,2))]. given #8621 (H,wt=17): 9503 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7126(a,1),9501(a,1,2))]. given #8622 (H,wt=17): 9504 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(7190,a,9503,a),flip(a)]. given #8623 (H,wt=17): 9506 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(8305,a,9504,a)]. given #8624 (H,wt=19): 9502 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),9501(a,1,2,2,2))]. given #8625 (H,wt=17): 9508 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7190,a,9502,a),flip(a)]. given #8626 (H,wt=17): 9509 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),9508(a,1,2,2)),flip(a)]. given #8627 (H,wt=17): 9510 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(227,a,7192,a(flip),b,9509,a(flip)),flip(a)]. given #8628 (H,wt=17): 9511 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(227,a,8730,a(flip),b,9510,a(flip)),flip(a)]. given #8629 (H,wt=19): 9507 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(14(a,1),9504(a,1,2,2))]. given #8630 (H,wt=19): 9512 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(227,a,8037,a(flip),b,9511,a(flip))]. given #8631 (H,wt=17): 9513 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(6715,a,9512,a),flip(a)]. given #8632 (H,wt=20): 9505 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(9503(a,1),7190(a,1))]. given #8633 (H,wt=22): 9515 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(7021(a,2),9505(a,1))]. given #8634 (H,wt=26): 6305 K(x \ (y * z),z \ (y \ x)) != u | K(x \ (y * z),(y * z) \ x) = u. [para(5684(a,1),6207(a,1))]. given #8635 (H,wt=26): 6308 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6007(a,1),6268(a,1,2,1))]. given #8636 (H,wt=22): 9517 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7042(a,1),6308(a,1,1)),flip(a)]. given #8637 (H,wt=20): 9518 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(6963(a,1),9517(a,2,2))]. given #8638 (H,wt=17): 9520 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(227,a,6268,a(flip),b,9518,a)]. given #8639 (H,wt=15): 9522 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(8919,a,9520,a)]. given #8640 (H,wt=13): 9523 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(9488,a,9522,a)]. given #8641 (H,wt=14): 9524 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9523(a,2),8919(a,1))]. given #8642 (H,wt=26): 6516 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6496(a,1),24(a,2,1,2)),flip(a)]. given #8643 (H,wt=26): 6779 (x * (1 / (x * y))) \ K(z,u) != w | (x * (y * (1 / x))) * K(z,u) = w. [para(5550(a,1),6550(a,1,1))]. given #8644 (H,wt=26): 6869 K(x,y) * (z * (x \ 1)) != (x \ 1) * u | T(K(x,y) * z,x \ 1) = u. [para(6841(a,1),167(a,2)),flip(a)]. given #8645 (H,wt=26): 6879 (x * ((x \ y) * K(z,u))) \ 1 != w | (K(u,z) * (y \ x)) * (x \ 1) = w. [para(6851(a,1),324(a,1,1))]. given #8646 (H,wt=26): 6941 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(6936(a,1),5793(a,1,2,2))]. given #8647 (H,wt=22): 9525 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(6971(a,1),6941(a,1,1))]. given #8648 (H,wt=18): 9527 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7072(a,1),9525(a,1,2)),flip(a)]. given #8649 (H,wt=13): 9528 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(227,a,5793,a(flip),b,9527,a)]. given #8650 (H,wt=15): 9530 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(6421(a,1),9528(a,1,2))]. given #8651 (H,wt=15): 9531 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(227,a,8643,a,b,9530,a(flip)),flip(a)]. given #8652 (H,wt=26): 7579 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(24(a,2),7532(a,1,1)),flip(a)]. given #8653 (H,wt=26): 7587 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),7536(a,1,2,1)),flip(a)]. given #8654 (H,wt=26): 7818 K(x,y) * (z * K(x,u)) != K(x,u) * w | T(K(x,y) * z,K(x,u)) = w. [para(7253(a,1),167(a,2)),flip(a)]. given #8655 (H,wt=26): 7856 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(73,a,6888,a(flip),b,7523,a),flip(a)]. given #8656 (H,wt=22): 9535 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(7795(a,1),7856(a,1,1)),flip(a)]. given #8657 (H,wt=22): 9536 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(6555(a,2),9535(a,2,1))]. given #8658 (H,wt=24): 9538 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(5994(a,1),9536(a,1,2,2)),flip(a)]. given #8659 (H,wt=23): 9539 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(227,a,9026,a(flip),b,9538,a(flip)),flip(a)]. given #8660 (H,wt=26): 7911 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(7908(a,1),4965(a,1,1,1)),flip(a)]. given #8661 (H,wt=21): 9540 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(227,a,4965,a(flip),b,7911,a)]. given #8662 (H,wt=21): 9541 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9540(a,1,1,2,1))]. given #8663 (H,wt=26): 7914 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(7909(a,1),4997(a,1,2,1))]. given #8664 (H,wt=21): 9542 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),u \ (x * w)). [hyper(5230,a,7914,a),flip(a)]. given #8665 (H,wt=26): 7915 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(7913(a,1),4965(a,1,1,1))]. given #8666 (H,wt=21): 9543 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5224,a,7915,a),flip(a)]. given #8667 (H,wt=24): 9544 K((x / y) \ z,L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. [para(7915(a,1),5224(a,1))]. given #8668 (H,wt=26): 8060 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(6443(a,1),6468(a,1,1))]. given #8669 (H,wt=26): 8114 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8112(a,2),6622(a,1,1))]. given #8670 (H,wt=19): 9545 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8114,a,8113,a)]. given #8671 (H,wt=21): 9546 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9545(a,1),4996(a,2,2)),flip(a)]. given #8672 (H,wt=19): 9547 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5001,a,9546,a),flip(a)]. given #8673 (H,wt=17): 9549 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(227,a,8127,a(flip),b,9547,a(flip))]. given #8674 (H,wt=17): 9550 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(62(a,1),9549(a,1,2,1,1)),flip(a)]. given #8675 (H,wt=19): 9548 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(227,a,8834,a(flip),b,9547,a(flip))]. given #8676 (H,wt=26): 8396 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7522(a,1),8388(a,1,1,2))]. given #8677 (H,wt=26): 8453 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(8452(a,1),209(a,1,2))]. given #8678 (H,wt=26): 8455 K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. [para(8440(a,1),167(a,2))]. given #8679 (H,wt=26): 8569 (x * (T(x / y,x) / z)) \ x = L(z,T(x,y),T(x,y)) * (y / T(x,y)). [hyper(227,a,1895,a(flip),b,8560,a(flip))]. given #8680 (H,wt=25): 9553 L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x,y,y) * ((1 / y) * z). [hyper(227,a,2364,a(flip),b,8569,a(flip))]. given #8681 (H,wt=19): 9554 L(x,y,y) * ((1 / y) * z) = L(x * (y \ z),y,y). [hyper(227,a,8578,a(flip),b,9553,a(flip))]. given #8682 (H,wt=22): 9555 (x / y) \ L(x * (y \ z),y,y) = L(z,1 / y,L(x,y,y)). [para(9554(a,1),1324(a,1,2))]. given #8683 (H,wt=26): 8671 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(227,a,7956,a(flip),b,7849,a(flip)),flip(a)]. given #8684 (H,wt=26): 8682 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8075(a,1),7399(a,1,1)),flip(a)]. given #8685 (H,wt=26): 8718 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(8717(a,1),7645(a,1))]. given #8686 (H,wt=26): 8731 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(2320(a,2),8729(a,1,2,1)),flip(a)]. given #8687 (H,wt=26): 8739 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(6585(a,2),6709(a,1))]. given #8688 (H,wt=26): 8758 (K(x,y) * (z \ u)) * (u \ 1) != w | ((u \ z) * K(y,x)) \ (u \ 1) = w. [para(6878(a,1),311(a,1))]. given #8689 (H,wt=26): 8783 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(7769(a,2),7690(a,1))]. given #8690 (H,wt=26): 8792 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7806(a,1),19(a,1)),flip(a)]. given #8691 (H,wt=26): 8835 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(8143(a,2),6517(a,1,1))]. given #8692 (H,wt=23): 9557 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6886(a,1),8835(a,1))]. given #8693 (H,wt=18): 9559 K(x,y \ (z \ 1)) != u | K(x,(z * y) \ 1) = u. [para(6539(a,1),9557(a,1))]. given #8694 (H,wt=26): 8876 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(8769(a,2),20(a,1))]. given #8695 (H,wt=26): 8959 K(x * y,x) * (K(x,y) * z) != a(x,y,x) * u | T(z,a(x,y,x)) = u. [para(8926(a,2),167(a,2)),flip(a)]. given #8696 (H,wt=26): 9001 K(x * (x / y),x \ (x \ y)) != z | K(x * (y \ x),x \ (y / x)) = z. [para(8999(a,1),8308(a,1))]. given #8697 (H,wt=26): 9021 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(9017(a,1),7370(a,1,1))]. given #8698 (H,wt=26): 9030 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9003(a,1),5582(a,1,1)),flip(a)]. given #8699 (H,wt=26): 9040 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(8708(a,1),9027(a,1,1,1))]. given #8700 (H,wt=22): 9563 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7518(a,1),9040(a,1,1)),flip(a)]. given #8701 (H,wt=22): 9564 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9563(a,1),16(a,1,1))]. given #8702 (H,wt=26): 9241 (x \ ((x * y) * z)) * (1 / x) != u * w | u \ (y * (z * (1 / x))) = w. [para(9238(a,2),457(a,1))]. given #8703 (H,wt=26): 9279 ((x * y) \ x) \ L(L(y,x,x),z,u) = L(y,x,x) * L(L(y,x,x),z,u). [para(1025(a,1),9278(a,1,1))]. given #8704 (H,wt=26): 9304 x * K(y \ z,z \ y) != u * (w * K(y \ z,z \ y)) | u * w = x. [para(9076(a,1),20(a,1)),flip(a)]. given #8705 (H,wt=26): 9308 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),9138(a,2,1))]. given #8706 (H,wt=26): 9310 K(x,x \ 1) * (y * (z * u)) != y * w | z * (K(x,x \ 1) * u) = w. [para(9172(a,2),19(a,1))]. given #8707 (H,wt=26): 9386 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7836(a,1),6674(a,1))]. given #8708 (H,wt=26): 9394 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(7980(a,1),7975(a,1,1))]. given #8709 (H,wt=22): 9568 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(227,a,6914,a(flip),b,9394,a(flip))]. given #8710 (H,wt=26): 9406 x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. [para(9405(a,1),20(a,2))]. given #8711 (H,wt=26): 9482 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [para(6888(a,1),9469(a,1,1))]. given #8712 (H,wt=21): 9570 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(227,a,6516,a(flip),b,9482,a(flip)),flip(a)]. given #8713 (H,wt=21): 9571 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6496(a,1),9570(a,1,2)),flip(a)]. given #8714 (H,wt=17): 9572 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(8488(a,1),9571(a,1,2))]. given #8715 (H,wt=17): 9573 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(9481,a,9572,a)]. given #8716 (H,wt=17): 9574 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(3076,a,9572,a)]. given #8717 (H,wt=17): 9580 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [para(9573(a,1),14(a,1,2))]. given #8718 (H,wt=17): 9582 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [para(9573(a,1),4484(a,1,1))]. given #8719 (H,wt=19): 9576 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9572(a,1),5747(a,1,2)),flip(a)]. given #8720 (H,wt=19): 9577 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7247(a,1),9572(a,1,2))]. given #8721 (H,wt=20): 9575 a(x,y,K(z,u)) != K(z,u) * w | L(K(u,z),y,x) = w. [para(9572(a,1),19(a,1))]. given #8722 (H,wt=20): 9581 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9573(a,1),84(a,1,2)),flip(b)]. given #8723 (H,wt=21): 9579 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9572(a,1),9408(a,1,2))]. given #8724 (H,wt=23): 9586 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6512(a,1),9579(a,1,1)),flip(a)]. given #8725 (H,wt=24): 9583 K(x,y \ ((y * z) * x)) * a(u,z,K(x,x * z)) = K(x,x * z). [para(7808(a,1),9580(a,1,1))]. given #8726 (H,wt=24): 9587 a(x,y,K(z,z * y)) = K(z,z * y) * K(u \ ((u * y) * z),z). [hyper(17,a,6489,a,b,9583,a)]. given #8727 (H,wt=18): 9588 L(K(x * y,x),y,z) = K(u \ ((u * y) * x),x). [hyper(9575,a,9587,a)]. given #8728 (H,wt=18): 9589 L(K(x * y,y),x,z) = K(u \ ((u * x) * y),y). [para(5301(a,2),9588(a,1,1))]. given #8729 (H,wt=24): 9590 L(K(x * T(y,z),T(y,z)),x,u) = K(w \ (y * (w * x)),T(y,z)). [hyper(227,a,9466,a(flip),b,9589,a)]. given #8730 (H,wt=22): 9591 L(K(x * y,T(y,z)),x,u) = K(w \ (y * (w * x)),T(y,z)). [para(7020(a,1),9590(a,1,1))]. given #8731 (H,wt=24): 9593 L(K(x * y,T(x,z)),y,u) = K(w \ (x * (w * y)),T(x,z * y)). [para(9506(a,1),9591(a,1,1))]. given #8732 (H,wt=20): 9594 L(K(x * y,T(x,z)),y,u) = K((z / (z * y)) \ x,x). [hyper(227,a,7779,a(flip),b,9593,a)]. given #8733 (H,wt=17): 9595 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(7303,a,9594,a),flip(a)]. given #8734 (H,wt=17): 9596 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(227,a,6154,a(flip),b,9595,a(flip)),flip(a)]. given #8735 (H,wt=17): 9597 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(14(a,1),9595(a,1,1,1,2)),flip(a)]. given #8736 (H,wt=17): 9598 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(14(a,1),9596(a,1,1,2,1)),flip(a)]. given #8737 (H,wt=17): 9599 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(8305,a,9597,a)]. given #8738 (H,wt=17): 9600 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(227,a,9507,a,b,9598,a(flip)),flip(a)]. given #8739 (H,wt=20): 9601 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(227,a,9392,a,b,9599,a(flip)),flip(a)]. given #8740 (H,wt=20): 9602 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(6490,a,9601,a)]. given #8741 (H,wt=20): 9603 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(6833,a,9602,a)]. given #8742 (H,wt=22): 9604 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(6137(a,2),9603(a,1,2))]. given #8743 (H,wt=26): 9516 K((x / y) \ z,z \ (x / y)) != u | K(x \ (z * y),(z * y) \ x) = u. [para(5688(a,2),6305(a,1))]. given #8744 (H,wt=26): 9533 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(4647(a,2),7579(a,1,1))]. given #8745 (H,wt=26): 9551 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(8842(a,2),8453(a,1))]. given #8746 (H,wt=26): 9556 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(227,a,7429,a(flip),b,8682,a)]. given #8747 (H,wt=26): 9562 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(6751(a,1),9030(a,1,1))]. given #8748 (H,wt=25): 9610 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(227,a,9003,a(flip),b,9562,a(flip))]. given #8749 (H,wt=25): 9611 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9029(a,2),9610(a,1,1))]. given #8750 (H,wt=26): 9567 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(9080(a,1),9308(a,1,2,2))]. given #8751 (H,wt=21): 9613 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(474,a,9567,a)]. given #8752 (H,wt=21): 9614 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(227,a,3099,a,b,9613,a)]. given #8753 (H,wt=21): 9615 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(3743(a,1),9614(a,1,1)),flip(a)]. given #8754 (H,wt=17): 9617 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(227,a,4214,a(flip),b,9615,a(flip)),flip(a)]. given #8755 (H,wt=17): 9619 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(9617(a,1),61(a,1,2,1)),flip(a)]. given #8756 (H,wt=17): 9620 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(61(a,1),9617(a,1,1,2,1)),flip(a)]. given #8757 (H,wt=21): 9616 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(6490,a,9615,a),flip(a)]. given #8758 (H,wt=22): 9621 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(9620(a,1),100(a,1,2))]. given #8759 (H,wt=22): 9622 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(480(a,1),9620(a,2,1,2))]. given #8760 (H,wt=23): 9625 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(72,a,9622,a(flip),b,183,a),flip(a)]. given #8761 (H,wt=19): 9627 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(227,a,8840,a(flip),b,9625,a(flip)),flip(a)]. given #8762 (H,wt=19): 9629 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(9627(a,1),16(a,1,1))]. given #8763 (H,wt=19): 9631 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(9627(a,1),6206(a,1,2))]. given #8764 (H,wt=15): 9634 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6816,a,9631,a),flip(a)]. given #8765 (H,wt=22): 9630 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(9627(a,1),207(a,1,1)),flip(b)]. given #8766 (H,wt=22): 9633 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(9629(a,2),20(a,1))]. given #8767 (H,wt=24): 9635 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(9634(a,1),7236(a,1,1))]. given #8768 (H,wt=19): 9636 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(9489,a,9635,a),flip(a)]. given #8769 (H,wt=15): 9637 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),9636(a,2,1,1))]. given #8770 (H,wt=17): 9638 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(227,a,8970,a(flip),b,9637,a(flip))]. given #8771 (H,wt=13): 9639 K(K(x \ y,x) * z,y) = K(z,y). [hyper(6161,a,9638,a),flip(a)]. given #8772 (H,wt=21): 9642 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9639(a,1),4996(a,2,2)),flip(a)]. given #8773 (H,wt=19): 9643 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(5966,a,9642,a),flip(a)]. given #8774 (H,wt=23): 9644 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5087(a,1),9643(a,2,1))]. given #8775 (H,wt=19): 9645 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5087(a,1),9644(a,1,1,1))]. given #8776 (H,wt=19): 9646 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5660,a,9645,a),flip(a)]. given #8777 (H,wt=25): 9623 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(9616(a,2),9100(a,1,2))]. given #8778 (H,wt=25): 9628 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(9625(a,1),8591(a,2,1)),flip(a)]. given #8779 (H,wt=21): 9649 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(9630,a,9628,a),flip(a)]. given #8780 (H,wt=19): 9650 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(5890(a,1),9649(a,1,1,2))]. given #8781 (H,wt=19): 9651 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8146(a,1),9649(a,1,1,2))]. given #8782 (H,wt=23): 9652 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,9629,a(flip),b,9650,a)]. given #8783 (H,wt=21): 9653 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [para(9652(a,1),7068(a,1,2)),flip(a)]. given #8784 (H,wt=22): 9654 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(109(a,1),9653(a,1,2,2)),flip(a)]. given #8785 (H,wt=25): 9632 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(9627(a,1),8231(a,1,1,2))]. given #8786 (H,wt=26): 9569 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(9568(a,1),6455(a,1,2,1)),flip(a)]. given #8787 (H,wt=25): 9655 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(9569(a,2),6464(a,1))]. given #8788 (H,wt=26): 9609 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7466,a,9556,a)]. given #8789 (H,wt=26): 9612 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9611(a,1),5096(a,1))]. given #8790 (H,wt=27): 5800 ((x * y) * (K(y,z) * u)) / (T(y,z) * u) != w | R(x,y,K(y,z) * u) = w. [para(5747(a,1),506(a,1,2))]. given #8791 (H,wt=24): 9656 x / (T(y,z) * (K(y,z) \ ((u * y) \ x))) = R(u,y,K(y,z) * x). [hyper(5800,a,2571,a),flip(a)]. given #8792 (H,wt=18): 9657 R(x,y,K(y,z) * u) = u / (y * ((x * y) \ u)). [para(5784(a,1),9656(a,1,2)),flip(a)]. given #8793 (H,wt=13): 9658 R(x,y,K(y,z) * u) = R(x,y,u). [hyper(227,a,1332,a,b,9657,a)]. given #8794 (H,wt=11): 9661 R(x,y,T(z,y)) = R(x,y,z). [para(4970(a,1),9658(a,1,3)),flip(a)]. given #8795 (H,wt=13): 9665 R(x,y / z,z) = R(x,z \ y,z). [hyper(227,a,8969,a(flip),b,9661,a(flip)),flip(a)]. given #8796 (H,wt=15): 9663 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(6230(a,1),9658(a,1,3))]. given #8797 (H,wt=15): 9664 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(227,a,8648,a,b,9661,a(flip)),flip(a)]. given #8798 (H,wt=16): 9659 R(x,y,K(y,z) * u) != w | R(x,y,u) = w. [para(9657(a,2),1333(a,1))]. given #8799 (H,wt=13): 9671 K(x,y) != z | R(K(x,y),x,u) = z. [para(5857(a,1),9659(a,1))]. given #8800 (H,wt=13): 9672 K(x,y) != z | R(K(x,y),y,u) = z. [para(5860(a,1),9659(a,1))]. given #8801 (H,wt=16): 9666 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(9661(a,1),503(a,1,1))]. given #8802 (H,wt=16): 9673 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(73,a,87,a(flip),b,9666,a)]. given #8803 (H,wt=20): 9669 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(227,a,7964,a(flip),b,9665,a(flip))]. given #8804 (H,wt=20): 9674 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(6053(a,1),9673(a,1,1)),flip(a)]. given #8805 (H,wt=18): 9675 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(8910(a,1),9674(a,1,1)),flip(a)]. given #8806 (H,wt=23): 9670 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7945(a,1),9664(a,1,2))]. given #8807 (H,wt=23): 9676 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(6555(a,2),9670(a,1,2))]. given #8808 (H,wt=24): 9668 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(227,a,8180,a(flip),b,9665,a(flip))]. given #8809 (H,wt=27): 5831 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(5795(a,1),466(a,1,1))]. given #8810 (H,wt=25): 9677 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(5795(a,1),5831(a,1,2)),flip(a)]. given #8811 (H,wt=18): 9678 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(227,a,28,a,b,9677,a)]. given #8812 (H,wt=11): 9681 L(x,y,T(z,x)) = L(x,y,z). [hyper(227,a,6935,a(flip),b,9678,a(flip))]. given #8813 (H,wt=11): 9682 L(x,y,T(x,z)) = L(x,y,x). [hyper(227,a,6930,a(flip),b,9678,a(flip))]. given #8814 (H,wt=13): 9680 L(x,y,T(z,z * y)) = L(x,y,z). [hyper(5781,a,9678,a)]. given #8815 (H,wt=15): 9684 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9682(a,1),40(a,2,1))]. given #8816 (H,wt=15): 9686 L(x,y,T(z,y) \ 1) = L(x,y,z \ 1). [para(1566(a,1),9680(a,1,3))]. given #8817 (H,wt=15): 9687 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(227,a,40,a,b,9684,a)]. given #8818 (H,wt=15): 9688 L(x,y,(y / z) \ 1) = L(x,y,y \ z). [para(644(a,1),9686(a,1,3)),flip(a)]. given #8819 (H,wt=15): 9690 L(x,y,z * (y \ 1)) = L(x,y,y \ z). [para(125(a,1),9688(a,1,3))]. given #8820 (H,wt=15): 9691 L(x,y * z,y \ 1) = L(x,y,y \ z). [hyper(9455,a,9690,a)]. given #8821 (H,wt=12): 9693 K(x,L(y,x,x \ z)) = K(x,y). [para(9691(a,1),7833(a,1,2))]. given #8822 (H,wt=10): 9694 K(x,L(y,x,z)) = K(x,y). [para(13(a,1),9693(a,1,2,3))]. given #8823 (H,wt=10): 9695 K(L(x,y,z),y) = K(x,y). [hyper(8609,a,9694,a)]. given #8824 (H,wt=12): 9698 T(x,L(y,x,z)) = x * K(x,y). [para(9694(a,1),4996(a,2,2))]. given #8825 (H,wt=10): 9704 T(x,L(y,x,z)) = T(x,y). [hyper(227,a,4996,a,b,9698,a)]. given #8826 (H,wt=14): 9697 L(K(x,x \ y),y,z) = K(x,x \ y). [hyper(7796,a,9694,a)]. given #8827 (H,wt=15): 9696 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(7926,a,9694,a)]. given #8828 (H,wt=15): 9699 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(7815,a,9695,a)]. given #8829 (H,wt=15): 9700 K((x * y) \ z,y) = K(y \ (x \ z),y). [para(219(a,1),9695(a,1,1))]. given #8830 (H,wt=15): 9706 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(227,a,8023,a(flip),b,9704,a(flip)),flip(a)]. given #8831 (H,wt=15): 9709 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(8159,a,9697,a)]. given #8832 (H,wt=15): 9710 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(57(a,1),9696(a,1,2,2)),flip(a)]. given #8833 (H,wt=15): 9712 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(62(a,1),9699(a,1,1,1))]. given #8834 (H,wt=15): 9713 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(9491,a,9700,a)]. given #8835 (H,wt=15): 9716 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(227,a,7323,a(flip),b,9712,a(flip))]. given #8836 (H,wt=17): 9692 L(x,y,z / (y * y)) = L(x,y,y \ (z / y)). [para(1503(a,1),9690(a,1,3))]. given #8837 (H,wt=18): 9720 L(x,y,z / (y * y)) != u | L(x,z,y \ 1) = u. [para(9692(a,2),9454(a,1))]. given #8838 (H,wt=20): 9703 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(9695(a,1),8611(a,1,1))]. given #8839 (H,wt=16): 9721 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(227,a,8611,a(flip),b,9703,a(flip))]. given #8840 (H,wt=20): 9722 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(9703(a,2),7304(a,1))]. given #8841 (H,wt=19): 9725 K(L(x,y,z),L(y,u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(9703(a,1),9722(a,1))]. given #8842 (H,wt=20): 9724 K(x,L(y,K(y,z) * u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(8485(a,1),9722(a,1))]. given #8843 (H,wt=21): 9679 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(9677(a,2),474(a,1))]. given #8844 (H,wt=23): 9689 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9687(a,1),8945(a,1,2,1))]. given #8845 (H,wt=13): 9726 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(8963,a,9689,a),flip(a)]. given #8846 (H,wt=25): 9723 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(1697(a,1),9721(a,1,1)),flip(a)]. given #8847 (H,wt=25): 9728 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(227,a,6672,a(flip),b,9723,a)]. given #8848 (H,wt=21): 9729 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(227,a,767,a(flip),b,9728,a)]. given #8849 (H,wt=21): 9730 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(6791,a,9729,a)]. given #8850 (H,wt=27): 5955 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5918(a,1),498(a,1,1))]. given #8851 (H,wt=25): 9732 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5918(a,1),5955(a,1,2)),flip(a)]. given #8852 (H,wt=18): 9733 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(227,a,30,a,b,9732,a)]. given #8853 (H,wt=11): 9735 R(x,y,T(x,z)) = R(x,y,x). [hyper(227,a,7336,a(flip),b,9733,a(flip))]. given #8854 (H,wt=13): 9737 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),9735(a,1,3))]. given #8855 (H,wt=17): 9734 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(227,a,7722,a(flip),b,9733,a(flip))]. given #8856 (H,wt=27): 6020 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(227,a,4807,a,b,5974,a(flip)),flip(a)]. given #8857 (H,wt=21): 9741 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6280,a,6020,a)]. given #8858 (H,wt=27): 6134 T(x / (y * (z \ (y / z))),y / z) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). [hyper(227,a,4205,a(flip),b,6039,a(flip))]. given #8859 (H,wt=27): 6211 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5365(a,1),5909(a,1,1,1))]. given #8860 (H,wt=25): 9744 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(7600(a,1),6211(a,2,1,2))]. given #8861 (H,wt=27): 6232 ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = y * T(T(y,x \ 1),x \ 1). [hyper(227,a,3312,a,b,6084,a(flip)),flip(a)]. given #8862 (H,wt=23): 9745 ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = ((x * y) * y) / x. [hyper(227,a,8212,a(flip),b,6232,a)]. given #8863 (H,wt=21): 9746 ((1 / x) \ y) * (x \ T(y,x \ 1)) = ((x * y) * y) / x. [para(1535(a,1),9745(a,1,2,2))]. given #8864 (H,wt=19): 9747 T(((x * y) * y) / x,x) = (1 / x) * ((x * y) * y). [para(9746(a,1),9287(a,1,1))]. given #8865 (H,wt=17): 9748 (1 / x) * ((x * y) * y) = x \ ((x * y) * y). [hyper(408,a,9747,a),flip(a)]. given #8866 (H,wt=21): 9749 (x * y) \ (((x * y) * y) * y) = (1 / (x / y)) * (x * y). [hyper(227,a,9289,a(flip),b,9748,a(flip))]. given #8867 (H,wt=17): 9750 (1 / (x / y)) * (x * y) = (x / y) \ (x * y). [hyper(227,a,1886,a(flip),b,9749,a(flip))]. given #8868 (H,wt=25): 9751 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (x / y) \ (x * y). [hyper(227,a,4301,a,b,9750,a(flip)),flip(a)]. given #8869 (H,wt=25): 9752 (x \ ((x / (1 / ((1 / (x * y)) * x))) / y)) \ 1 = (x / y) \ (x * y). [para(325(a,1),9751(a,1,1,2,1,2))]. given #8870 (H,wt=21): 9753 (x \ ((x / (1 / (1 / y))) / y)) \ 1 = (x / y) \ (x * y). [para(335(a,1),9752(a,1,1,2,1,2,2))]. given #8871 (H,wt=21): 9755 (x \ (((1 / x) \ (y \ 1)) / y)) \ 1 = (x / y) \ (x * y). [para(1074(a,1),9753(a,1,1,2,1))]. given #8872 (H,wt=21): 9756 (x \ ((y * (1 / x)) \ (1 / y))) \ 1 = (x / y) \ (x * y). [para(343(a,1),9755(a,1,1,2))]. given #8873 (H,wt=21): 9757 (x \ ((x * (y \ 1)) * (y \ 1))) \ 1 = (x / y) \ (x * y). [para(5537(a,1),9756(a,1,1,2))]. given #8874 (H,wt=20): 9758 ((x \ 1) * L(x \ 1,y,y)) \ 1 = (y / x) \ (y * x). [para(4168(a,1),9757(a,1,1))]. given #8875 (H,wt=19): 9759 ((x \ 1) * ((y * x) \ y)) \ 1 = (y / x) \ (y * x). [para(1301(a,1),9758(a,1,1,2))]. given #8876 (H,wt=17): 9760 (x \ (y \ (y / x))) \ 1 = (y / x) \ (y * x). [para(1778(a,1),9759(a,1,1))]. given #8877 (H,wt=15): 9761 (x \ (x / y)) \ y = (x / y) \ (x * y). [hyper(9134,a,9760,a)]. given #8878 (H,wt=17): 9762 ((x \ 1) \ y) * (y \ x) = (y / x) \ (y * x). [hyper(227,a,5699,a,b,9761,a(flip)),flip(a)]. given #8879 (H,wt=17): 9763 (x * ((y \ x) \ 1)) * y = (x / y) \ (x * y). [hyper(227,a,5592,a,b,9761,a(flip)),flip(a)]. given #8880 (H,wt=27): 6356 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5510(a,1),6034(a,2,2))]. given #8881 (H,wt=23): 9764 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5510(a,1),6356(a,1,1,2))]. given #8882 (H,wt=23): 9765 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9764(a,2),7972(a,1,1))]. given #8883 (H,wt=27): 6521 x \ ((x * K(y,z)) * (K(z,y) * u)) != w | L(u,K(z,y),x * K(y,z)) = w. [para(6496(a,1),474(a,1,1))]. given #8884 (H,wt=27): 6531 (1 / x) * ((1 / x) * (1 * K(x \ 1,x * y))) = 1 / (T(x,y) / (1 / x)). [para(6497(a,1),5609(a,1,2,2))]. given #8885 (H,wt=27): 6578 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(6555(a,2),5477(a,1,1))]. given #8886 (H,wt=27): 6648 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6515(a,1),6264(a,1,1)),flip(a)]. given #8887 (H,wt=25): 9769 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7586(a,1),6648(a,1,1,2))]. given #8888 (H,wt=25): 9770 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(9551,a,9769,a)]. given #8889 (H,wt=27): 6720 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6458(a,1),5574(a,1,2))]. given #8890 (H,wt=25): 9771 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(6719(a,1),6720(a,2,1))]. given #8891 (H,wt=23): 9772 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(227,a,6453,a(flip),b,9771,a)]. given #8892 (H,wt=17): 9773 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,9772,a)]. given #8893 (H,wt=19): 9774 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(6453(a,2),9773(a,1,2))]. given #8894 (H,wt=19): 9775 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(5393,a,9774,a)]. given #8895 (H,wt=27): 6769 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(2308(a,1),6716(a,1,2)),flip(a)]. given #8896 (H,wt=23): 9777 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5092(a,1),6769(a,1,1))]. given #8897 (H,wt=21): 9778 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7586(a,1),9777(a,1,2))]. given #8898 (H,wt=23): 9779 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(9778(a,1),9770(a,1,2)),flip(a)]. given #8899 (H,wt=21): 9780 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(9459(a,1),9779(a,2,2))]. given #8900 (H,wt=27): 6796 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6422(a,1),4924(a,2,3))]. given #8901 (H,wt=27): 6875 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(227,a,5533,a(flip),b,6850,a)]. given #8902 (H,wt=23): 9782 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(8297,a,6875,a)]. given #8903 (H,wt=27): 7147 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(2243(a,1),6950(a,1,1,1)),flip(a)]. given #8904 (H,wt=27): 7249 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7245(a,1),6850(a,1,2,1)),flip(a)]. given #8905 (H,wt=25): 9784 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7245(a,1),7249(a,1,1))]. given #8906 (H,wt=27): 7353 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(5583(a,1),7344(a,2,1))]. given #8907 (H,wt=23): 9785 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(5581(a,1),7353(a,1,2)),flip(a)]. given #8908 (H,wt=23): 9786 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(3039,a,9785,a(flip)),flip(a)]. given #8909 (H,wt=27): 7861 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7087(a,1),7530(a,1,1,1,2))]. given #8910 (H,wt=27): 8097 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(466(a,1),8074(a,2,1))]. given #8911 (H,wt=24): 9788 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(227,a,7286,a(flip),b,8097,a)]. given #8912 (H,wt=27): 8211 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(8210(a,1),528(a,1,1))]. given #8913 (H,wt=27): 8220 K(x,y \ x) * (K(x,y \ x) * z) = (y \ x) * (T(y \ T(x,y),x) \ z). [para(771(a,1),8219(a,2,2,1,1))]. given #8914 (H,wt=25): 9791 (x \ y) * (T(x \ T(y,x),y) \ z) = K(x,y) * (K(y,x \ y) * z). [para(5199(a,1),8220(a,1,1)),flip(a)]. given #8915 (H,wt=23): 9792 (x \ y) * (T(x \ T(y,x),y) \ z) = K(x,y) * (K(x,y) * z). [para(5199(a,1),9791(a,2,2,1))]. given #8916 (H,wt=23): 9793 (x \ y) * (T(x \ T(y,x),y) \ z) = y * (T(T(y,x),x) \ z). [hyper(227,a,8219,a(flip),b,9792,a)]. given #8917 (H,wt=27): 8230 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(1637(a,1),6726(a,1,1,2))]. given #8918 (H,wt=25): 9794 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(113(a,1),8230(a,1,1,2,2))]. given #8919 (H,wt=27): 8446 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8444(a,1),1646(a,1,1)),flip(a)]. given #8920 (H,wt=23): 9795 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7262(a,1),8446(a,1,2)),flip(a)]. given #8921 (H,wt=27): 8580 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4978(a,1),8233(a,2,1))]. given #8922 (H,wt=23): 9797 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5035(a,1),8580(a,1,1,2))]. given #8923 (H,wt=21): 9798 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5165(a,1),9797(a,1,2,2))]. given #8924 (H,wt=18): 9799 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(9704(a,1),9798(a,1,1,2)),flip(a)]. given #8925 (H,wt=11): 9800 L(x,T(y,x),z) = L(x,y,z). [hyper(227,a,28,a,b,9799,a),flip(a)]. given #8926 (H,wt=13): 9802 L(x,y / x,z) = L(x,x \ y,z). [para(115(a,1),9800(a,1,2)),flip(a)]. given #8927 (H,wt=18): 9805 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(227,a,541,a(flip),b,9802,a(flip))]. given #8928 (H,wt=18): 9806 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(9802(a,1),8152(a,1,1))]. given #8929 (H,wt=27): 8624 (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((y \ x) \ ((y \ x) / z)) \ 1. [para(8622(a,1),3313(a,2,1))]. given #8930 (H,wt=24): 9807 (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = L(z,y \ x,y \ x). [hyper(227,a,1031,a(flip),b,8624,a)]. given #8931 (H,wt=20): 9808 (x / y) \ ((1 / (x / y)) \ z) = L(z,y \ x,y \ x). [para(1079(a,1),9807(a,1,2,1))]. given #8932 (H,wt=17): 9809 L(x,y / z,y / z) = L(x,z \ y,z \ y). [hyper(1365,a,9808,a)]. given #8933 (H,wt=13): 9810 L(x,y \ 1,y \ 1) = L(x,y,y). [hyper(1471,a,9809,a),flip(a)]. given #8934 (H,wt=16): 9813 L(x,y \ 1,y \ 1) != z | L(x,y,y) = z. [para(9809(a,1),1471(a,1))]. given #8935 (H,wt=19): 9811 R(x,y / z,z * (y \ 1)) = L(x,y \ z,y \ z). [hyper(227,a,8058,a,b,9809,a(flip)),flip(a)]. given #8936 (H,wt=20): 9812 (x / y) * ((y * (x \ 1)) * z) = L(z,y \ x,y \ x). [hyper(227,a,1397,a,b,9809,a(flip)),flip(a)]. given #8937 (H,wt=20): 9814 (x * (y \ 1)) * L(z,x \ y,x \ y) = (y / x) \ z. [para(9809(a,1),1359(a,1,2))]. given #8938 (H,wt=20): 9815 (x / y) * L(z,x \ y,x \ y) = (1 / (x / y)) \ z. [para(9809(a,1),8215(a,1,2))]. given #8939 (H,wt=20): 9819 (x * (y / z)) * (z * (y \ 1)) = L(x,y \ z,y \ z). [hyper(2667,a,9811,a)]. given #8940 (H,wt=20): 9820 (x * (y \ 1)) \ ((y / x) \ z) = L(z,x \ y,x \ y). [hyper(78,a,9814,a)]. given #8941 (H,wt=20): 9825 (x * (y \ 1)) * L(z,y \ x,y \ x) = (y / x) \ z. [para(9819(a,1),3301(a,1,2))]. given #8942 (H,wt=17): 9830 L(x,y \ z,y \ z) = L(x,z \ y,z \ y). [hyper(17,a,9814,a,b,9825,a)]. given #8943 (H,wt=23): 9821 (x / y) \ z != (y * (x \ 1)) * u | L(z,y \ x,y \ x) = u. [para(9814(a,1),19(a,1))]. given #8944 (H,wt=24): 9818 L(x,y \ (z \ 1),(z * y) \ 1) != u | L(x,z * y,z * y) = u. [para(123(a,1),9813(a,1,2))]. given #8945 (H,wt=24): 9831 L(x,y \ (z \ 1),y \ (z \ 1)) != u | L(x,z * y,z * y) = u. [para(123(a,1),9818(a,1,3))]. given #8946 (H,wt=21): 9833 L(x,(y \ 1) \ z,(y \ 1) \ z) = L(x,y * z,y * z). [hyper(9831,a,9830,a),flip(a)]. given #8947 (H,wt=21): 9834 L(x,y \ (z \ 1),y \ (z \ 1)) = L(x,z * y,z * y). [hyper(9831,a,xx),flip(a)]. given #8948 (H,wt=24): 9835 L(x,(y \ 1) \ z,(y \ 1) \ z) != u | L(x,y * z,y * z) = u. [para(9830(a,1),9831(a,1))]. given #8949 (H,wt=24): 9836 (((x \ 1) \ y) * z) \ ((x \ 1) \ y) = L(z \ 1,x * y,x * y). [hyper(1303,a,9833,a)]. given #8950 (H,wt=24): 9837 L(x,y \ (z \ 1),y \ (z \ 1)) = (x * (z * y)) * (y \ (z \ 1)). [hyper(227,a,1032,a,b,9834,a)]. given #8951 (H,wt=21): 9841 T(x * (y * z),z \ (y \ 1)) = ((z \ (y \ 1)) \ 1) * x. [hyper(166,a,9837,a(flip),b,1389,a)]. given #8952 (H,wt=25): 9843 T(x * (y * (z \ 1)),z * (y \ 1)) = (((z \ 1) \ (y \ 1)) \ 1) * x. [hyper(6127,a,9841,a)]. given #8953 (H,wt=23): 9844 T(x * (y * (z \ 1)),z / y) = (((z \ 1) \ (y \ 1)) \ 1) * x. [hyper(6123,a,9843,a)]. given #8954 (H,wt=26): 9840 (((x \ 1) \ y) * z) \ ((x \ 1) \ y) != u | ((x * y) * z) \ (x * y) = u. [para(9836(a,2),1303(a,1))]. given #8955 (H,wt=27): 8637 K(x * (y * z),a(x,y,z) \ 1) != u | K((x * y) * z,x * (y * z)) = u. [para(5975(a,1),6177(a,1))]. given #8956 (H,wt=27): 8871 ((1 / x) \ ((1 / y) * K(z,u))) * K(u,z) = K(z,u) * ((K(z,u) \ x) / y). [para(344(a,1),8752(a,2,2))]. given #8957 (H,wt=23): 9846 (x / (K(y,z) \ u)) * K(z,y) = K(y,z) * ((K(y,z) \ x) / u). [para(342(a,1),8871(a,1,1))]. given #8958 (H,wt=23): 9847 (x / (K(y,z) * u)) * K(y,z) = K(z,y) * ((K(z,y) \ x) / u). [para(6443(a,1),9846(a,1,1,2))]. given #8959 (H,wt=23): 9848 (x / (K(y,z) * u)) * K(y,z) = K(z,y) * ((K(y,z) * x) / u). [para(6443(a,1),9847(a,2,2,1))]. given #8960 (H,wt=27): 8930 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(8918(a,2),172(a,1,2,2))]. given #8961 (H,wt=27): 8948 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(897(a,1),8944(a,1,2))]. given #8962 (H,wt=23): 9850 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(9726(a,1),8948(a,1,1,2))]. given #8963 (H,wt=27): 9054 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(65(a,1),9053(a,2,2))]. given #8964 (H,wt=27): 9192 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(5076(a,2),9173(a,2,2,2)),flip(a)]. given #8965 (H,wt=25): 9852 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(6543(a,1),9192(a,2,2,2))]. given #8966 (H,wt=27): 9248 (x \ ((x * ((y \ 1) \ 1)) * (1 / z))) \ 1 = (z / (((1 / x) \ 1) * y)) * x. [para(1127(a,1),9246(a,2,1))]. given #8967 (H,wt=25): 9853 ((((x \ 1) \ 1) / y) * (y / z)) \ 1 = (z / (((1 / y) \ 1) * x)) * y. [para(2155(a,1),9248(a,1,1))]. given #8968 (H,wt=25): 9854 (((x \ 1) \ (1 / y)) * (y / z)) \ 1 = (z / (((1 / y) \ 1) * x)) * y. [para(318(a,1),9853(a,1,1,1))]. given #8969 (H,wt=25): 9855 (x / y) \ (((z \ 1) \ (1 / x)) \ 1) = (y / (((1 / x) \ 1) * z)) * x. [hyper(311,a,9854,a)]. given #8970 (H,wt=25): 9856 (x / y) \ (x * (((z \ 1) \ 1) \ 1)) = (y / (((1 / x) \ 1) * z)) * x. [para(320(a,1),9855(a,1,2))]. given #8971 (H,wt=21): 9857 (x / (((1 / y) \ 1) * z)) * y = (y / x) \ (y * (1 / z)). [para(1057(a,1),9856(a,1,2,2)),flip(a)]. given #8972 (H,wt=17): 9858 (x / y) \ (x * (1 / z)) = (y / (x * z)) * x. [para(65(a,1),9857(a,1,1,2,1)),flip(a)]. given #8973 (H,wt=17): 9859 (x / (y * (z \ 1))) * y = (y / x) \ (y * z). [para(62(a,1),9858(a,1,2,2)),flip(a)]. given #8974 (H,wt=17): 9863 ((1 / x) \ (y / z)) * z = (z / x) \ (z * y). [para(341(a,1),9859(a,1,1))]. given #8975 (H,wt=20): 9862 L((x / (y * z)) * y,y,y) = (x / y) / (z * (1 / y)). [para(9858(a,1),8735(a,1,1))]. given #8976 (H,wt=19): 9864 (x / (y * z)) / (1 / y) = (x / y) / (z * (1 / y)). [hyper(1692,a,9862,a)]. given #8977 (H,wt=19): 9865 (x / (y * z)) / (1 / y) = (y * (1 / x)) \ (y / z). [hyper(227,a,5661,a(flip),b,9864,a)]. given #8978 (H,wt=23): 9861 (K(x,y) / z) \ (K(x,y) / u) = (z / (K(x,y) * u)) * K(x,y). [para(6452(a,1),9858(a,1,2))]. given #8979 (H,wt=27): 9252 ((x \ 1) \ (y / (z \ 1))) * (z \ 1) = ((z \ 1) \ 1) * (((z \ x) \ 1) \ y). [para(257(a,1),9249(a,1,2,1)),flip(a)]. given #8980 (H,wt=27): 9253 ((((x \ 1) * y) \ (x \ 1)) \ (z / x)) * x = (x \ 1) * ((y \ (x \ 1)) \ z). [para(950(a,1),9249(a,1,2,1)),flip(a)]. given #8981 (H,wt=23): 9867 (((x * y) \ x) \ (z / x)) * x = (x \ 1) * ((y \ (x \ 1)) \ z). [para(1453(a,1),9253(a,1,1,1))]. given #8982 (H,wt=21): 9868 (x \ 1) * ((y \ (x \ 1)) \ z) = ((x / z) * (y \ 1)) \ x. [hyper(227,a,2640,a(flip),b,9867,a(flip))]. given #8983 (H,wt=25): 9869 (((x * y) / ((1 / z) * y)) \ x) \ 1 = ((x / (y \ z)) * (y \ 1)) \ x. [hyper(227,a,4070,a,b,9868,a(flip)),flip(a)]. given #8984 (H,wt=24): 9870 R(1 / x,y,y \ (z \ 1)) \ 1 = ((z / (y \ x)) * (y \ 1)) \ z. [para(1837(a,1),9869(a,1,1))]. given #8985 (H,wt=27): 9273 ((1 / x) \ (1 / y)) \ (((1 / x) \ 1) * (1 / z)) = (y * (1 / x)) / (z / x). [para(339(a,1),9272(a,2,2))]. given #8986 (H,wt=23): 9871 (x / y) \ (((1 / x) \ 1) * (1 / z)) = (y * (1 / x)) / (z / x). [para(339(a,1),9273(a,1,1))]. given #8987 (H,wt=19): 9872 (x * (1 / y)) / (z / y) = (y / x) \ (y * (1 / z)). [para(65(a,1),9871(a,1,2,1)),flip(a)]. given #8988 (H,wt=17): 9873 (x * (1 / y)) / (z / y) = (x / (y * z)) * y. [hyper(227,a,9858,a(flip),b,9872,a)]. given #8989 (H,wt=21): 9876 (x * (1 / y)) / (1 / (y * z)) = (x / (y * (1 / z))) * y. [para(325(a,1),9873(a,1,2))]. given #8990 (H,wt=27): 9282 K(x,x \ 1) * (T(y,K(x,x \ 1) * z) / z) = (x * (1 / (z * x))) * y. [hyper(227,a,3673,a(flip),b,9265,a(flip))]. given #8991 (H,wt=21): 9881 K(x,x \ 1) * (T(y,z) / z) = (x * (1 / (z * x))) * y. [para(9102(a,1),9282(a,1,2,1))]. given #8992 (H,wt=19): 9882 K(x,x \ 1) / (y \ z) = (x * (1 / (z * x))) * y. [hyper(227,a,6798,a(flip),b,9881,a(flip)),flip(a)]. given #8993 (H,wt=19): 9884 (x * (1 / (y * x))) * z = x * (1 / ((z \ y) * x)). [hyper(227,a,3664,a(flip),b,9882,a(flip))]. given #8994 (H,wt=23): 9889 (x * (((x \ y) \ 1) \ 1)) * z = x * (1 / ((z \ (1 / y)) * x)). [para(1064(a,1),9884(a,1,1,2))]. given #8995 (H,wt=25): 9885 (x * (1 / (((y * y) \ z) * x))) / y = (1 / (x * (1 / (z * x)))) \ y. [hyper(73,a,9884,a(flip),b,909,a)]. given #8996 (H,wt=25): 9893 (x * (1 / (((y * y) \ z) * x))) / y = (((z * x) \ 1) \ (1 / x)) \ y. [para(1120(a,1),9885(a,2,1))]. given #8997 (H,wt=25): 9894 (x * (1 / (((y * y) \ z) * x))) / y = ((x \ (z \ 1)) \ (1 / x)) \ y. [para(123(a,1),9893(a,2,1,1))]. given #8998 (H,wt=25): 9895 (x * (1 / (((y * y) \ z) * x))) / y = (((z \ 1) \ x) * (1 / x)) \ y. [para(1101(a,1),9894(a,2,1))]. given #8999 (H,wt=25): 9896 (x * (1 / (((y * y) \ z) * x))) / y = (x * (((x \ z) \ 1) \ 1)) \ y. [para(2119(a,1),9895(a,2,1))]. given #9000 (H,wt=26): 9888 (x * (1 / (y * x))) * z != u * w | u \ (x * (1 / ((z \ y) * x))) = w. [para(9884(a,2),457(a,1))]. given #9001 (H,wt=27): 9338 (((1 / x) \ (y / z)) * (1 / (y / z))) \ u = (x \ u) * K(z \ y,y \ z). [para(4269(a,1),9335(a,2,2))]. given #9002 (H,wt=25): 9897 ((1 / x) \ K(y \ z,z \ y)) \ u = (x \ u) * K(y \ z,z \ y). [para(4271(a,1),9338(a,1,1))]. given #9003 (H,wt=23): 9898 (x * K(y \ z,z \ y)) \ u = (x \ u) * K(y \ z,z \ y). [para(6543(a,1),9897(a,1,1))]. given #9004 (H,wt=27): 9348 (x \ y) * (T(T((1 / x) * y,y),x) \ z) = (y / x) * (T(x \ y,x) \ z). [para(1339(a,1),6797(a,1,2,1,1))]. given #9005 (H,wt=25): 9902 (x \ y) * (T(x \ T(y,x),y) \ z) = (y / x) * (T(x \ y,x) \ z). [para(652(a,1),9348(a,1,2,1))]. given #9006 (H,wt=21): 9903 (x / y) * (T(y \ x,y) \ z) = x * (T(T(x,y),y) \ z). [hyper(227,a,9793,a(flip),b,9902,a(flip))]. given #9007 (H,wt=27): 9371 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(227,a,3521,a(flip),b,7228,a)]. given #9008 (H,wt=23): 9904 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9371(a,1,1,2,1))]. given #9009 (H,wt=27): 9411 x / ((y * T((1 / z) * y,u)) \ z) = (1 / x) \ ((z \ y) * T(z \ y,u)). [para(9410(a,1),1726(a,1,2)),flip(a)]. given #9010 (H,wt=27): 9441 T(x,(((y \ 1) \ K(z,u)) \ (K(z,u) * y)) * w) = T(x,K(K(z,u),y) * w). [para(26(a,2),9165(a,2,2,1))]. given #9011 (H,wt=25): 9906 T(x,((K(y,z) / u) / (u \ K(y,z))) * w) = T(x,K(K(z,y),u) * w). [para(6760(a,1),9441(a,1,2,1))]. given #9012 (H,wt=21): 9907 T(x,K(y,y \ K(z,u)) * w) = T(x,K(K(u,z),y) * w). [para(5172(a,1),9906(a,1,2,1))]. given #9013 (H,wt=27): 9442 (x * (1 / (y * x))) \ ((z \ 1) * u) = (1 / y) \ (((z \ x) * (1 / x)) * u). [hyper(17,a,5618,a,b,9189,a)]. given #9014 (H,wt=27): 9444 (1 / x) * (y * (z * (1 / (u * z)))) = z * (1 / (((y * (1 / u)) \ x) * z)). [para(9167(a,1),9443(a,1,2))]. given #9015 (H,wt=27): 9474 (x \ K(y,z)) * ((T(z,y) \ 1) \ T(z,y)) = (x \ z) * (u / (T(z,y) \ u)). [para(705(a,2),9414(a,1,2))]. given #9016 (H,wt=27): 9558 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(6443(a,1),9557(a,1,1,2))]. given #9017 (H,wt=27): 9560 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(8083(a,1),9557(a,1,1))]. given #9018 (H,wt=22): 9910 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(8161(a,1),9560(a,1))]. given #9019 (H,wt=27): 9585 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9577(a,1),5854(a,2,2))]. given #9020 (H,wt=25): 9911 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(6781,a,9585,a)]. given #9021 (H,wt=23): 9912 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(132(a,1),9911(a,1,2,2))]. given #9022 (H,wt=27): 9624 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(219(a,1),9621(a,1,2,1,2))]. given #9023 (H,wt=25): 9913 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(9624(a,2),9794(a,1,1))]. given #9024 (H,wt=19): 9914 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(8232,a,9913,a),flip(a)]. given #9025 (H,wt=19): 9916 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),9914(a,1,2,1,2)),flip(a)]. given #9026 (H,wt=19): 9918 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9910,a,9916,a)]. given #9027 (H,wt=19): 9919 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(227,a,9709,a(flip),b,9918,a(flip)),flip(a)]. given #9028 (H,wt=19): 9920 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(13(a,1),9918(a,1,2,1,2)),flip(a)]. given #9029 (H,wt=22): 9915 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(9913(a,1),8232(a,1))]. given #9030 (H,wt=23): 9917 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(9914(a,1),6454(a,1,1,2))]. given #9031 (H,wt=22): 9924 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(9917(a,1),6517(a,1))]. given #9032 (H,wt=19): 9925 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(9924,a,7824,a),flip(a)]. given #9033 (H,wt=23): 9927 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9925(a,1),5022(a,2,2,2)),flip(a)]. given #9034 (H,wt=19): 9928 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5137,a,9927,a),flip(a)]. given #9035 (H,wt=19): 9929 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(227,a,7905,a,b,9928,a(flip)),flip(a)]. given #9036 (H,wt=24): 9923 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(227,a,8158,a,b,9920,a(flip)),flip(a)]. given #9037 (H,wt=21): 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(227,a,9021,a(flip),b,9923,a(flip)),flip(a)]. given #9038 (H,wt=21): 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(227,a,9014,a(flip),b,9931,a(flip))]. given #9039 (H,wt=23): 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9932(a,1,2,2))]. given #9040 (H,wt=21): 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7065,a,9933,a)]. given #9041 (H,wt=24): 9926 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(227,a,9788,a(flip),b,9925,a(flip))]. given #9042 (H,wt=27): 9743 T(x / (y * (z \ (y / z))),y / z) = ((1 / x) * (y * (z \ 1))) \ (z / y). [para(313(a,1),6134(a,2,1))]. given #9043 (H,wt=23): 9935 T(x / (y * (z \ (y / z))),y / z) = ((z / y) * x) * (z / y). [hyper(227,a,1408,a(flip),b,9743,a)]. given #9044 (H,wt=23): 9936 T(x * (y * (z \ 1)),x) / (z / y) = ((y / z) * x) * (y / z). [hyper(227,a,2885,a(flip),b,9935,a(flip)),flip(a)]. given #9045 (H,wt=19): 9937 ((x / y) \ z) / (x / y) = ((y / x) * z) * (y / x). [para(1218(a,1),9936(a,1,1))]. given #9046 (H,wt=27): 9766 (K(x,y) * ((K(y,x) * z) / u)) * u != w | L(z,K(y,x),u * K(x,y)) = w. [para(6655(a,1),6521(a,1))]. given #9047 (H,wt=27): 9767 (1 / x) * ((1 / x) * (1 * K(x,(x * y) \ 1))) = 1 / (T(x,y) / (1 / x)). [para(5378(a,1),6531(a,1,2,2,2))]. given #9048 (H,wt=27): 9781 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3904(a,1),6796(a,1,3))]. given #9049 (H,wt=23): 9940 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7140(a,1),9781(a,1,3,2))]. given #9050 (H,wt=27): 9783 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(9212(a,1),7147(a,2,1))]. given #9051 (H,wt=27): 9787 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(227,a,9407,a(flip),b,7861,a)]. given #9052 (H,wt=27): 9790 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(2325(a,1),8211(a,1,2)),flip(a)]. given #9053 (H,wt=27): 9839 L(x,y \ K(z,u),y \ (K(u,z) \ 1)) = L(x,K(u,z) * y,K(u,z) * y). [para(5084(a,1),9834(a,1,2,2))]. given #9054 (H,wt=25): 9942 L(x,y \ K(z,u),y \ K(z,u)) = L(x,K(u,z) * y,K(u,z) * y). [para(5084(a,1),9839(a,1,3,2))]. given #9055 (H,wt=27): 9849 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(2639(a,1),8930(a,1,2,2))]. given #9056 (H,wt=25): 9943 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),9849(a,1,2)),flip(a)]. given #9057 (H,wt=27): 9866 ((x \ 1) \ ((1 / y) \ z)) * (z \ 1) = ((z \ 1) \ 1) * (((z \ x) \ 1) \ y). [para(317(a,1),9252(a,1,1,2))]. given #9058 (H,wt=27): 9875 R(L(x,y,y),1 / y,(1 / y) \ (z \ 1)) = ((y / z) \ (y * (1 / x))) \ z. [para(9872(a,1),1838(a,2,1))]. given #9059 (H,wt=27): 9905 x / ((y * T((1 / z) * y,u)) \ z) = ((1 / x) \ (z \ y)) * T(z \ y,u). [hyper(227,a,1082,a(flip),b,9411,a)]. given #9060 (H,wt=25): 9946 x / ((y * T((1 / z) * y,u)) \ z) = x * ((z \ y) * T(z \ y,u)). [hyper(227,a,8646,a(flip),b,9905,a)]. given #9061 (H,wt=23): 9947 x / ((T(y / z,u) * y) \ z) = x * ((z \ y) * T(z \ y,u)). [para(646(a,1),9946(a,1,2,1))]. given #9062 (H,wt=27): 9921 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(9919(a,1),7247(a,1,1)),flip(a)]. given #9063 (H,wt=27): 9939 (1 / x) * ((1 / x) * (1 * K(x,y \ (x \ 1)))) = 1 / (T(x,y) / (1 / x)). [para(123(a,1),9767(a,1,2,2,2,2))]. given #9064 (H,wt=25): 9948 (1 / x) * ((1 / x) * K(x,y \ (x \ 1))) = 1 / (T(x,y) / (1 / x)). [para(11(a,1),9939(a,1,2,2))]. given #9065 (H,wt=19): 9949 1 / (T(x,y) / (1 / x)) = (1 / x) * (T(x,y) \ 1). [para(5614(a,1),9948(a,1,2)),flip(a)]. given #9066 (H,wt=17): 9950 (1 / x) * (T(x,y) \ 1) = x \ (T(x,y) \ 1). [hyper(227,a,1577,a(flip),b,9949,a(flip))]. given #9067 (H,wt=17): 9951 (T(x,y) \ 1) * (1 / x) = x \ (T(x,y) \ 1). [hyper(227,a,1599,a,b,9950,a(flip)),flip(a)]. given #9068 (H,wt=19): 9952 ((T(x,y) \ 1) \ 1) \ (1 / x) = x \ (T(x,y) \ 1). [hyper(227,a,5719,a,b,9951,a(flip)),flip(a)]. given #9069 (H,wt=15): 9953 1 / (x * T(x,y)) = x \ (T(x,y) \ 1). [hyper(1118,a,9952,a)]. given #9070 (H,wt=27): 9941 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(227,a,6945,a,b,9790,a(flip)),flip(a)]. given #9071 (H,wt=25): 9955 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(227,a,6926,a(flip),b,9941,a(flip)),flip(a)]. given #9072 (H,wt=27): 9944 ((x \ 1) \ 1) * (((x \ y) \ 1) \ z) = x * (((y \ 1) * x) \ ((1 / z) \ 1)). [hyper(227,a,1771,a(flip),b,9866,a(flip))]. given #9073 (H,wt=23): 9956 ((x \ 1) \ 1) * (((x \ y) \ 1) \ z) = x * (((y \ 1) * x) \ z). [para(65(a,1),9944(a,2,2,2))]. given #9074 (H,wt=27): 9945 R(L(x,y,y),1 / y,(y \ 1) \ (1 / z)) = ((y / z) \ (y * (1 / x))) \ z. [hyper(227,a,9219,a(flip),b,9875,a(flip)),flip(a)]. given #9075 (H,wt=28): 6104 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6094(a,1),931(a,1,2,1))]. given #9076 (H,wt=23): 9957 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6104,a,7096,a)]. given #9077 (H,wt=28): 6557 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6462(a,1),184(a,1,2)),flip(a)]. given #9078 (H,wt=26): 9959 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6462(a,1),6557(a,1,3)),flip(a)]. given #9079 (H,wt=28): 6611 (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. [para(6605(a,1),931(a,1,2,1))]. given #9080 (H,wt=23): 9961 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(6611,a,9586,a)]. given #9081 (H,wt=21): 9962 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9576(a,1),9961(a,1,2)),flip(a)]. given #9082 (H,wt=11): 9963 a(x,y,a(z,u,K(y,w))) = 1. [hyper(71,a,9962,a(flip),b,89,a),flip(a)]. given #9083 (H,wt=13): 9964 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7526(a,1),9963(a,1,3,3))]. given #9084 (H,wt=28): 6645 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6515(a,1),2030(a,1,1,2))]. given #9085 (H,wt=28): 7023 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7003(a,1),5364(a,1,1,2))]. given #9086 (H,wt=24): 9966 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(227,a,6762,a(flip),b,7023,a(flip)),flip(a)]. given #9087 (H,wt=19): 9968 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(227,a,5364,a(flip),b,9966,a(flip))]. given #9088 (H,wt=25): 9969 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(2496(a,1),9968(a,1,2,2))]. given #9089 (H,wt=28): 7025 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7024(a,1),5455(a,1,2,1,2)),flip(a)]. given #9090 (H,wt=21): 9970 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(227,a,5455,a(flip),b,7025,a)]. given #9091 (H,wt=28): 7026 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7024(a,1),5457(a,1,2,1,2)),flip(a)]. given #9092 (H,wt=21): 9971 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(227,a,5457,a(flip),b,7026,a)]. given #9093 (H,wt=17): 9972 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5061(a,1),9971(a,1,1)),flip(a)]. given #9094 (H,wt=28): 7222 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(157(a,2),7194(a,1,1,1,2))]. given #9095 (H,wt=28): 7225 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(156(a,2),7198(a,2,2,2,1))]. given #9096 (H,wt=28): 7232 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(522(a,1),5859(a,1,2,1)),flip(a)]. given #9097 (H,wt=26): 9975 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(227,a,6016,a(flip),b,7232,a)]. given #9098 (H,wt=24): 9976 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(227,a,6111,a(flip),b,9975,a(flip)),flip(a)]. given #9099 (H,wt=24): 9977 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5217(a,1),9976(a,1,1))]. given #9100 (H,wt=22): 9978 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(227,a,6914,a(flip),b,9977,a(flip))]. given #9101 (H,wt=24): 9979 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),9978(a,1,2,1,1)),flip(a)]. given #9102 (H,wt=22): 9981 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(227,a,6911,a(flip),b,9979,a(flip))]. given #9103 (H,wt=28): 7244 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(7242(a,1),5453(a,1,1,1,2))]. given #9104 (H,wt=21): 9982 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(5456,a,7244,a),flip(a)]. given #9105 (H,wt=21): 9983 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(227,a,7798,a,b,9982,a(flip)),flip(a)]. given #9106 (H,wt=28): 7324 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7279(a,1),5453(a,1,1,1,2))]. given #9107 (H,wt=21): 9984 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5456,a,7324,a),flip(a)]. given #9108 (H,wt=24): 9985 K((x \ y) \ z,L(x,u,w)) != v5 | K(y \ (x * z),L(x,u,w)) = v5. [para(7324(a,1),5456(a,1))]. given #9109 (H,wt=28): 7363 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7362(a,1),5453(a,1,1,1,2))]. given #9110 (H,wt=21): 9986 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5456,a,7363,a),flip(a)]. given #9111 (H,wt=24): 9987 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(102(a,2),9986(a,1,1))]. given #9112 (H,wt=24): 9989 K(x \ (y \ (x * z)),L(y,u,w)) != v5 | K(y \ z,L(y,u,w)) = v5. [para(9987(a,1),9725(a,1))]. given #9113 (H,wt=26): 9988 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9986(a,1),8671(a,1,2))]. given #9114 (H,wt=28): 7436 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7428(a,1),5280(a,1,2))]. given #9115 (H,wt=28): 7474 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(227,a,5178,a,b,7443,a),flip(a)]. given #9116 (H,wt=28): 8160 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7896(a,1),7370(a,1,1))]. given #9117 (H,wt=28): 8221 T(x * (T(T(x,y),y) \ z),K(y,x)) != u | (1 / (K(y,x) * z)) \ K(y,x) = u. [para(8219(a,1),1250(a,1,1))]. given #9118 (H,wt=25): 9990 T(x * (T(T(x,y),y) \ z),K(x,y)) = (1 / (K(y,x) * z)) \ K(y,x). [hyper(8221,a,7486,a),flip(a)]. given #9119 (H,wt=25): 9991 T(x * (T(T(x,y),y) \ z),K(x,y)) = ((1 / z) * K(x,y)) \ K(y,x). [para(6465(a,1),9990(a,2,1))]. given #9120 (H,wt=25): 9992 T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,x) * ((1 / z) \ K(y,x)). [hyper(227,a,5114,a(flip),b,9991,a)]. given #9121 (H,wt=23): 9993 T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,x) * (z * K(y,x)). [para(6543(a,1),9992(a,2,2))]. given #9122 (H,wt=28): 8307 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(5359(a,2),8294(a,1,1))]. given #9123 (H,wt=28): 8395 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(7481(a,1),8388(a,1,1,2))]. given #9124 (H,wt=28): 8832 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(8831(a,1),7878(a,1,1,1))]. given #9125 (H,wt=15): 9994 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(6288,a,8832,a)]. given #9126 (H,wt=28): 8885 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(227,a,5589,a(flip),b,8884,a)]. given #9127 (H,wt=28): 8895 R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = ((T(y,K(x,z)) / w) * w) / y. [para(8878(a,1),111(a,1,1,1)),flip(a)]. given #9128 (H,wt=24): 9996 R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = T(y,K(x,z)) / y. [hyper(227,a,224,a(flip),b,8895,a)]. given #9129 (H,wt=22): 9997 R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = K(y,K(x,z)). [hyper(227,a,4993,a,b,9996,a)]. given #9130 (H,wt=22): 9999 R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = K(x,K(y,z)). [hyper(227,a,7428,a,b,9997,a)]. given #9131 (H,wt=16): 10000 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(8877(a,1),9999(a,1,1))]. given #9132 (H,wt=16): 10001 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7443(a,1),10000(a,1,1))]. given #9133 (H,wt=16): 10002 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(227,a,8601,a(flip),b,10001,a(flip)),flip(a)]. given #9134 (H,wt=16): 10003 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(62(a,1),10002(a,1,2,2,2))]. given #9135 (H,wt=25): 10004 a(K(x,y),z,z \ y) = K(u,K(w,R(v5,v6,v6 \ u))) * K(v5,K(u,w)). [para(10003(a,1),8567(a,2,2))]. given #9136 (H,wt=25): 10005 a(K(x,y),z,z \ y) = K(u,K(w,R(v5,v6,v6 \ u))) * K(u,K(w,v5)). [para(7434(a,2),10004(a,2,2))]. given #9137 (H,wt=25): 10006 a(K(x,y),z,z \ x) = K(u,K(w,R(v5,v6,v6 \ u))) * K(u,K(w,v5)). [para(5202(a,1),10005(a,1,1))]. given #9138 (H,wt=28): 8977 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(2414(a,1),6830(a,1,1,2))]. given #9139 (H,wt=19): 10007 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(8977,a,9632,a),flip(a)]. given #9140 (H,wt=15): 10008 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),10007(a,2,2,1))]. given #9141 (H,wt=17): 10009 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(8971,a,10008,a),flip(a)]. given #9142 (H,wt=13): 10010 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),10009(a,1,2)),flip(a)]. given #9143 (H,wt=15): 10011 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),10010(a,1,2,1,1))]. given #9144 (H,wt=15): 10012 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(6391(a,1),10010(a,1,2)),flip(a)]. given #9145 (H,wt=15): 10013 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(6430(a,2),10010(a,1,2))]. given #9146 (H,wt=21): 10014 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(10011(a,1),4978(a,1,1,2))]. given #9147 (H,wt=21): 10015 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(10014(a,1),6068(a,1,2)),flip(a)]. given #9148 (H,wt=28): 9008 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7967(a,1),8603(a,1,2)),flip(a)]. given #9149 (H,wt=28): 9024 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(227,a,4017,a,b,8161,a)]. given #9150 (H,wt=28): 9031 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9004(a,1),5584(a,1,1))]. given #9151 (H,wt=26): 10018 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(5582(a,1),9031(a,2,2))]. given #9152 (H,wt=19): 10019 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7263(a,1),10018(a,1,1,1))]. given #9153 (H,wt=19): 10020 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(10019(a,1),62(a,1,2))]. given #9154 (H,wt=19): 10022 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(227,a,9007,a(flip),b,10020,a(flip)),flip(a)]. given #9155 (H,wt=22): 10023 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(8025(a,1),10022(a,1,1))]. given #9156 (H,wt=22): 10024 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(6555(a,2),10023(a,2,1))]. given #9157 (H,wt=28): 9039 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9026(a,1),6880(a,1,1)),flip(a)]. given #9158 (H,wt=28): 9267 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (1 / (((x \ (y \ (z \ 1))) * z) * z))). [hyper(2118,a,9266,a)]. given #9159 (H,wt=28): 9300 (1 / (x \ 1)) * (((x \ 1) * y) * L(z,x,x)) = (y * (1 / (x \ 1))) * (x \ z). [para(1349(a,1),9298(a,1,2)),flip(a)]. given #9160 (H,wt=24): 10028 (1 / (x \ 1)) * (((x \ 1) * y) * L(z,x,x)) = (y * x) * (x \ z). [para(62(a,1),9300(a,2,1,2))]. given #9161 (H,wt=20): 10029 x * (((x \ 1) * y) * L(z,x,x)) = (y * x) * (x \ z). [hyper(301,a,10028,a)]. given #9162 (H,wt=28): 9369 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(227,a,5364,a(flip),b,9367,a(flip))]. given #9163 (H,wt=24): 10031 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7011(a,1),9369(a,1,1,2))]. given #9164 (H,wt=19): 10032 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(227,a,5364,a(flip),b,10031,a(flip))]. given #9165 (H,wt=28): 9387 K(x * T(y,z),T(x,u)) != K(x,K(y,T(u,z))) * w | K(x * T(y,z),x) = w. [para(7854(a,1),19(a,1))]. given #9166 (H,wt=28): 9395 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(8014(a,1),7975(a,1,1))]. given #9167 (H,wt=28): 9404 (((1 / x) * y) * z) * ((z \ (y \ x)) * u) = L(u,(y \ x) \ z,(y \ x) \ z). [para(313(a,1),9403(a,1,1,1))]. given #9168 (H,wt=28): 9566 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9564(a,1,1,1,1))]. given #9169 (H,wt=24): 10035 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9566(a,2,2,1,1))]. given #9170 (H,wt=24): 10036 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(85,a,10035,a)]. given #9171 (H,wt=26): 10039 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(113(a,2),10036(a,1,2))]. given #9172 (H,wt=27): 10037 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10035(a,1),293(a,1,1)),flip(b)]. given #9173 (H,wt=28): 9605 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(227,a,4860,a,b,9604,a(flip)),flip(a)]. given #9174 (H,wt=15): 10041 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(8960,a,9605,a)]. given #9175 (H,wt=15): 10042 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(15(a,1),10041(a,1,2,1)),flip(a)]. given #9176 (H,wt=28): 9702 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(489(a,1),9695(a,1,1))]. given #9177 (H,wt=28): 9708 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(489(a,1),9704(a,1,2))]. given #9178 (H,wt=28): 9740 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(9734(a,2),6471(a,1,1))]. given #9179 (H,wt=24): 10044 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7489(a,1),9740(a,1,1,3))]. given #9180 (H,wt=24): 10045 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(6443(a,1),10044(a,2,2))]. given #9181 (H,wt=28): 9823 (x * ((y / z) / u)) * (u * (z * (y \ 1))) = L(x,(y / z) \ u,(y / z) \ u). [para(125(a,1),9819(a,1,2,2))]. given #9182 (H,wt=28): 9826 (x * (y * (z \ 1))) \ (((z / y) / x) \ u) = L(u,x \ (z / y),x \ (z / y)). [para(125(a,1),9820(a,1,1,2))]. given #9183 (H,wt=28): 9827 (x * ((1 / y) \ 1)) \ ((1 / (x * y)) \ z) = L(z,x \ (1 / y),x \ (1 / y)). [para(325(a,1),9820(a,1,2,1))]. given #9184 (H,wt=24): 10046 L(x,y \ (1 / z),y \ (1 / z)) = (y * z) \ ((1 / (y * z)) \ x). [para(65(a,1),9827(a,1,1,2)),flip(a)]. given #9185 (H,wt=24): 10047 L(x,y \ (1 / z),y \ (1 / z)) != u | L(x,y * z,y * z) = u. [para(10046(a,2),1365(a,1))]. given #9186 (H,wt=24): 10048 L(x,(1 / y) \ z,(1 / y) \ z) != u | L(x,z * y,z * y) = u. [para(9830(a,1),10047(a,1))]. given #9187 (H,wt=28): 9938 ((x / y) * L(z,y / x,y / x)) * (x / y) = (((y / x) \ 1) * z) / (y / x). [para(1388(a,1),9937(a,1,1)),flip(a)]. given #9188 (H,wt=26): 10049 ((x / y) * L(z,y / x,y / x)) * (x / y) = (y / x) \ (z / (y / x)). [hyper(227,a,1993,a(flip),b,9938,a)]. given #9189 (H,wt=21): 10050 ((1 / (x / y)) \ z) * (x / y) = (y / x) \ (z / (y / x)). [para(8215(a,1),10049(a,1,1))]. given #9190 (H,wt=19): 10051 (x / y) \ (z / (x / y)) = (y / x) * (z * (y / x)). [hyper(674,a,10050,a),flip(a)]. given #9191 (H,wt=21): 10052 ((x / y) \ z) * (y * (x \ 1)) = (y / x) * (z * (y / x)). [hyper(227,a,1282,a,b,10051,a(flip)),flip(a)]. given #9192 (H,wt=27): 10053 (1 / (x * y)) \ (z / ((1 / y) / x)) = (x / (1 / y)) * (z * (x / (1 / y))). [para(325(a,1),10051(a,1,1))]. given #9193 (H,wt=27): 10054 (1 / (x * y)) \ (z / (1 / (x * y))) = (x / (1 / y)) * (z * (x / (1 / y))). [para(325(a,1),10053(a,1,2,2))]. given #9194 (H,wt=23): 10055 (x / (1 / y)) * (z * (x / (1 / y))) = (x * y) * (z * (x * y)). [hyper(1331,a,10054,a),flip(a)]. given #9195 (H,wt=23): 10056 ((x \ 1) \ y) * (z * ((x \ 1) \ y)) = (x * y) * (z * (x * y)). [hyper(227,a,4517,a(flip),b,10055,a(flip)),flip(a)]. given #9196 (H,wt=28): 9965 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6632(a,1),6645(a,2,2))]. given #9197 (H,wt=26): 10060 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(227,a,9800,a(flip),b,9965,a)]. given #9198 (H,wt=24): 10061 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(227,a,9531,a(flip),b,10060,a)]. given #9199 (H,wt=28): 9973 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4675(a,2),7222(a,1,1))]. given #9200 (H,wt=25): 10063 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(215,a,9973,a),flip(a)]. given #9201 (H,wt=23): 10064 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5452(a,1),10063(a,2,1))]. given #9202 (H,wt=23): 10065 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(10064(a,1),8773(a,1,2)),flip(a)]. given #9203 (H,wt=19): 10066 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(227,a,6455,a(flip),b,10065,a)]. given #9204 (H,wt=17): 10067 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(8774,a,10066,a)]. given #9205 (H,wt=17): 10069 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(227,a,8010,a,b,10067,a(flip)),flip(a)]. given #9206 (H,wt=17): 10070 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),10069(a,1,2,2,1)),flip(a)]. given #9207 (H,wt=25): 10071 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4873(a,1),10069(a,1,2,2,1))]. given #9208 (H,wt=23): 10072 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(227,a,10070,a(flip),b,10071,a)]. given #9209 (H,wt=20): 10073 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(227,a,8040,a,b,10072,a(flip)),flip(a)]. given #9210 (H,wt=22): 10074 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(65(a,1),10073(a,2,2,2,1))]. given #9211 (H,wt=28): 9974 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(227,a,7198,a(flip),b,7225,a(flip))]. given #9212 (H,wt=28): 9995 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(2298(a,1),8885(a,1,2,1))]. given #9213 (H,wt=23): 10076 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(728(a,1),9995(a,1,2,2))]. given #9214 (H,wt=21): 10077 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(8364,a,10076,a)]. given #9215 (H,wt=28): 10016 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7473,a,9008,a)]. given #9216 (H,wt=28): 10026 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(227,a,6443,a(flip),b,9039,a)]. given #9217 (H,wt=28): 10027 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ (1 / (x \ (y \ (z \ 1))))))). [para(3413(a,1),9267(a,2,2,2))]. given #9218 (H,wt=28): 10040 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(10015(a,2),10039(a,1,1))]. given #9219 (H,wt=22): 10081 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10040(a,1),506(a,1))]. given #9220 (H,wt=28): 10043 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(227,a,40,a,b,9708,a(flip)),flip(a)]. given #9221 (H,wt=28): 10075 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(9619(a,2),9974(a,1,2))]. given #9222 (H,wt=25): 10083 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(209,a,10075,a),flip(a)]. given #9223 (H,wt=23): 10084 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6873(a,1),10083(a,2,2))]. given #9224 (H,wt=17): 10085 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(7930,a,10084,a)]. given #9225 (H,wt=21): 10086 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(10085(a,1),6454(a,1,1,2)),flip(a)]. given #9226 (H,wt=17): 10087 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(227,a,6454,a(flip),b,10086,a)]. given #9227 (H,wt=17): 10088 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),10087(a,1,1,1)),flip(a)]. given #9228 (H,wt=21): 10089 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(10088(a,1),5022(a,2,2,2)),flip(a)]. given #9229 (H,wt=17): 10090 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5137,a,10089,a),flip(a)]. given #9230 (H,wt=17): 10091 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(227,a,7300,a,b,10090,a(flip)),flip(a)]. given #9231 (H,wt=22): 10092 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(227,a,6817,a,b,10091,a(flip)),flip(a)]. given #9232 (H,wt=28): 10079 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(6559(a,1),10026(a,1,1,1))]. given #9233 (H,wt=28): 10080 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ ((1 / 1) \ ((z * y) * x))))). [para(760(a,1),10027(a,2,2,2,2,2))]. given #9234 (H,wt=26): 10094 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ (1 \ ((z * y) * x))))). [para(59(a,1),10080(a,2,2,2,2,2,1))]. given #9235 (H,wt=24): 10095 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ ((z * y) * x)))). [para(50(a,1),10094(a,2,2,2,2,2))]. given #9236 (H,wt=20): 10097 R(x,x \ (y \ (z \ 1)),z) = y \ (z \ ((z * y) * x)). [para(14(a,1),10095(a,2,2))]. given #9237 (H,wt=15): 10099 L(R(x,x \ (y \ (z \ 1)),z),y,z) = x. [para(10097(a,2),460(a,1,1))]. given #9238 (H,wt=28): 10082 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9929(a,1),10043(a,1,1))]. given #9239 (H,wt=20): 10100 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(9706(a,1),10082(a,1,1)),flip(a)]. given #9240 (H,wt=28): 10093 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(6559(a,1),10079(a,1,1,1))]. given #9241 (H,wt=27): 10103 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9038(a,1),10093(a,1,1))]. given #9242 (H,wt=23): 10104 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(9406,a,10103,a)]. given #9243 (H,wt=23): 10105 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(227,a,9539,a(flip),b,10104,a(flip))]. given #9244 (H,wt=23): 10106 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(227,a,8732,a(flip),b,10104,a(flip))]. given #9245 (H,wt=23): 10107 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(10105(a,2),16(a,1,1))]. given #9246 (H,wt=21): 10109 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(2299(a,1),10107(a,1,1,2))]. given #9247 (H,wt=21): 10111 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(10107(a,1),8808(a,1,2)),flip(a)]. given #9248 (H,wt=21): 10112 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(6444(a,1),10109(a,1,2,2)),flip(a)]. given #9249 (H,wt=21): 10113 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(6065(a,1),10111(a,1,2,2))]. given #9250 (H,wt=19): 10115 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(227,a,8803,a(flip),b,10113,a(flip))]. given #9251 (H,wt=17): 10117 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(227,a,8802,a(flip),b,10115,a(flip))]. given #9252 (H,wt=19): 10118 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(227,a,7983,a,b,10117,a(flip)),flip(a)]. given #9253 (H,wt=22): 10120 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(227,a,9395,a(flip),b,10118,a(flip)),flip(a)]. given #9254 (H,wt=17): 10122 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(227,a,8016,a(flip),b,10120,a(flip)),flip(a)]. given #9255 (H,wt=21): 10123 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(v5,x) * u,w)). [hyper(227,a,10117,a,b,10122,a),flip(a)]. given #9256 (H,wt=21): 10125 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(10122(a,1),6454(a,1,1,2)),flip(a)]. given #9257 (H,wt=17): 10127 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(227,a,6454,a(flip),b,10125,a)]. given #9258 (H,wt=21): 10126 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(v5,x) * u,w)). [hyper(227,a,6802,a,b,10123,a(flip)),flip(a)]. given #9259 (H,wt=21): 10128 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10127(a,1),5022(a,2,2,2))]. given #9260 (H,wt=20): 10131 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10128(a,2),5137(a,1))]. given #9261 (H,wt=23): 10130 T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(v5,x) * u,w)). [para(10126(a,1),4996(a,2,2))]. given #9262 (H,wt=21): 10132 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(v5,x) * u,w)). [hyper(227,a,4996,a,b,10130,a)]. given #9263 (H,wt=23): 10133 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(v5,x) * u,w)). [para(6421(a,1),10132(a,1,2,1))]. given #9264 (H,wt=19): 10134 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10131,a,10133,a(flip)),flip(a)]. given #9265 (H,wt=19): 10135 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5325,a,10134,a)]. given #9266 (H,wt=25): 10114 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6225(a,1),10112(a,2,2))]. given #9267 (H,wt=23): 10136 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(6421(a,1),10114(a,1,2)),flip(a)]. given #9268 (H,wt=26): 10110 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(10107(a,1),6464(a,1,2))]. given #9269 (H,wt=27): 10108 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10106(a,2),10037(a,1))]. given #9270 (H,wt=27): 10137 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8668(a,2),10110(a,1))]. given #9271 (H,wt=29): 6409 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(2518(a,1),6353(a,1,2))]. given #9272 (H,wt=25): 10138 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(7884(a,1),6409(a,1,1)),flip(a)]. given #9273 (H,wt=23): 10139 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(227,a,6673,a(flip),b,10138,a)]. given #9274 (H,wt=17): 10140 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(2518(a,1),10139(a,1,1)),flip(a)]. given #9275 (H,wt=21): 10141 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9386,a,10140,a)]. given #9276 (H,wt=29): 6423 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(72,a,5023,a(flip),b,6419,a),flip(a)]. given #9277 (H,wt=29): 6522 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6496(a,1),825(a,1,1,2))]. given #9278 (H,wt=29): 6552 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(6456(a,1),2809(a,1,2,2,1))]. given #9279 (H,wt=27): 10143 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(176(a,1),6552(a,1,2)),flip(a)]. given #9280 (H,wt=25): 10144 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5084(a,1),10143(a,1,1,2,1))]. given #9281 (H,wt=21): 10145 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9572(a,1),10144(a,1,1)),flip(a)]. given #9282 (H,wt=21): 10146 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(227,a,9784,a,b,10145,a(flip)),flip(a)]. given #9283 (H,wt=21): 10147 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6883(a,1),10145(a,1,2)),flip(a)]. given #9284 (H,wt=21): 10148 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(72,a,6444,a(flip),b,10147,a),flip(a)]. given #9285 (H,wt=17): 10149 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(227,a,10146,a(flip),b,10148,a(flip))]. given #9286 (H,wt=17): 10150 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(1102,a,10149,a)]. given #9287 (H,wt=17): 10151 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(458,a,10149,a)]. given #9288 (H,wt=17): 10155 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(10150(a,1),62(a,1,2))]. given #9289 (H,wt=20): 10152 a(x,y,K(z,u)) \ w != v5 * w | a(x,y,K(u,z)) = v5. [para(10149(a,2),20(a,1))]. given #9290 (H,wt=20): 10153 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(10149(a,1),292(a,1,2)),flip(b)]. given #9291 (H,wt=20): 10156 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(10150(a,1),292(a,1,2)),flip(b)]. given #9292 (H,wt=20): 10157 a(x,y,K(z,u)) != w | v5 / (a(x,y,K(u,z)) * v5) = w. [para(10150(a,1),994(a,1))]. given #9293 (H,wt=25): 10154 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [hyper(227,a,418,a(flip),b,10150,a(flip)),flip(a)]. given #9294 (H,wt=29): 6553 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(6456(a,1),2854(a,1,2,2,1))]. given #9295 (H,wt=27): 10158 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(177(a,1),6553(a,1,2)),flip(a)]. given #9296 (H,wt=25): 10159 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5084(a,1),10158(a,1,1,2,1))]. given #9297 (H,wt=29): 7027 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(6995(a,1),5454(a,1,1,1,2)),flip(a)]. given #9298 (H,wt=22): 10160 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(227,a,5454,a(flip),b,7027,a)]. given #9299 (H,wt=25): 10161 K(L(x,y,z),u \ L(K(x,w),v5,v6)) != v7 | K(L(x,y,z),u \ 1) = v7. [para(7027(a,2),6705(a,1))]. given #9300 (H,wt=29): 7934 T(R(K(x,y),z,u),w) * w != R(K(x,y),z,u) * v5 | T(w,R(K(x,y),z,u)) = v5. [para(7857(a,2),167(a,2)),flip(a)]. given #9301 (H,wt=29): 7941 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(4846(a,1),7940(a,1,2,1)),flip(a)]. given #9302 (H,wt=27): 10162 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(227,a,7940,a(flip),b,7941,a)]. given #9303 (H,wt=23): 10163 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(62(a,1),10162(a,1,1,2,1,2,1))]. given #9304 (H,wt=21): 10164 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(227,a,7004,a(flip),b,10163,a(flip)),flip(a)]. given #9305 (H,wt=17): 10165 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(7739,a,10164,a)]. given #9306 (H,wt=29): 7951 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(5625(a,1),7888(a,2,2))]. given #9307 (H,wt=25): 10166 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5625(a,1),7951(a,1,1,2))]. given #9308 (H,wt=25): 10167 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(7153,a,10166,a)]. given #9309 (H,wt=25): 10168 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6880(a,1),10167(a,2,1))]. given #9310 (H,wt=25): 10169 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6887,a,10168,a),flip(a)]. given #9311 (H,wt=29): 8129 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(6864(a,1),28(a,2,2,2)),flip(a)]. given #9312 (H,wt=24): 10171 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(227,a,6605,a(flip),b,8129,a)]. given #9313 (H,wt=29): 8182 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(100(a,1),8059(a,1,2,2))]. given #9314 (H,wt=29): 8507 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(8325(a,1),8506(a,1,1,2))]. given #9315 (H,wt=25): 10173 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(227,a,9183,a(flip),b,8507,a(flip)),flip(a)]. given #9316 (H,wt=19): 10174 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(227,a,8506,a(flip),b,10173,a(flip))]. given #9317 (H,wt=29): 8593 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(7752,a,8292,a)]. given #9318 (H,wt=25): 10175 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(1647(a,1),8593(a,1,1))]. given #9319 (H,wt=23): 10176 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(7178,a,10175,a),flip(a)]. given #9320 (H,wt=26): 10177 K((x \ 1) * T(y / (x \ 1),z),u) != w | K(x \ T(y * x,z),u) = w. [para(10175(a,1),7178(a,1))]. given #9321 (H,wt=29): 8627 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8587(a,1),6929(a,1,1,2)),flip(a)]. given #9322 (H,wt=27): 10178 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(177(a,1),8627(a,2,1))]. given #9323 (H,wt=23): 10179 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(227,a,8586,a(flip),b,10178,a(flip))]. given #9324 (H,wt=29): 8633 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(8490(a,1),8630(a,1,2,1,2,2)),flip(a)]. given #9325 (H,wt=19): 10180 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(227,a,8630,a(flip),b,8633,a)]. given #9326 (H,wt=19): 10181 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(7555(a,1),10180(a,1,2,1,1)),flip(a)]. given #9327 (H,wt=29): 8868 K(x \ y,x) * (y * ((x \ 1) * (y * (x \ 1)))) = ((1 / x) * y) * (y * (x \ 1)). [para(940(a,1),8866(a,1,2))]. given #9328 (H,wt=25): 10182 K(x \ y,x) * (y * (x \ (y / x))) = ((1 / x) * y) * (y * (x \ 1)). [para(1361(a,1),8868(a,1,2,2))]. given #9329 (H,wt=19): 10183 ((1 / x) * y) * (y * (x \ 1)) = (y / x) * (x \ y). [hyper(227,a,8217,a(flip),b,10182,a(flip))]. given #9330 (H,wt=19): 10184 ((1 / x) * y) * (y * (x \ 1)) = (x \ y) * (y / x). [hyper(227,a,275,a(flip),b,10183,a)]. given #9331 (H,wt=22): 10185 ((1 / x) * y) * (y * (x \ 1)) != z | (x \ y) * (y / x) = z. [para(10183(a,2),8218(a,1))]. given #9332 (H,wt=29): 8893 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5362(a,1),8875(a,1,2)),flip(a)]. given #9333 (H,wt=25): 10186 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(227,a,2446,a(flip),b,8893,a(flip)),flip(a)]. given #9334 (H,wt=23): 10187 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(6996(a,2),10186(a,1,1))]. given #9335 (H,wt=19): 10188 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(65(a,1),10187(a,1,1,2,1))]. given #9336 (H,wt=10): 10189 L(x,K(y,z),K(z,u)) = x. [hyper(464,a,10188,a)]. given #9337 (H,wt=10): 10197 L(x,K(y,z),K(y,u)) = x. [para(5202(a,1),10189(a,1,2))]. given #9338 (H,wt=10): 10202 L(x,K(y,z),K(u,y)) = x. [para(5199(a,1),10197(a,1,3))]. given #9339 (H,wt=12): 10198 L(x,K(y,T(z,u)),K(z,w)) = x. [para(6559(a,1),10189(a,1,2))]. given #9340 (H,wt=12): 10199 L(x,K(y,z),K(u,K(z,w))) = x. [para(7400(a,1),10189(a,1,3))]. given #9341 (H,wt=18): 10194 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(8908(a,1),10188(a,1,1)),flip(a)]. given #9342 (H,wt=18): 10195 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(227,a,2308,a(flip),b,10189,a)]. given #9343 (H,wt=18): 10209 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(227,a,6850,a(flip),b,10194,a(flip)),flip(a)]. given #9344 (H,wt=8): 10213 T(x,a(y,z,y)) = x. [hyper(8959,a,10209,a)]. given #9345 (H,wt=8): 10221 K(x,a(y,z,y)) = 1. [hyper(36,a,10213,a)]. given #9346 (H,wt=10): 10224 x * K(y,a(z,u,z)) = x. [para(10221(a,2),12(a,1,2))]. given #9347 (H,wt=11): 10215 T(a(x,y,x),z) = a(x,y,x). [hyper(166,a,10209,a(flip),b,8926,a(flip))]. given #9348 (H,wt=11): 10225 T(x,a(y,z,y)) != u | u = x. [para(10224(a,1),5000(a,1)),flip(a)]. given #9349 (H,wt=13): 10212 a(x,y,x) * z = z * a(x,y,x). [hyper(8961,a,10209,a),flip(a)]. given #9350 (H,wt=13): 10219 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(3398,a,10213,a)]. given #9351 (H,wt=13): 10220 x / a(y,z,y) = a(y,z,y) \ x. [hyper(408,a,10213,a),flip(a)]. given #9352 (H,wt=15): 10229 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [para(10215(a,1),788(a,1,2)),flip(a)]. given #9353 (H,wt=15): 10237 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10220(a,1),8955(a,1,2))]. given #9354 (H,wt=15): 10238 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(227,a,10212,a,b,10229,a)]. given #9355 (H,wt=15): 10239 (x \ 1) * a(y,z,y) = x \ a(y,z,y). [hyper(3859,a,10238,a)]. given #9356 (H,wt=15): 10240 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [hyper(307,a,10238,a),flip(a)]. given #9357 (H,wt=15): 10242 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(17,a,1361,a,b,10240,a),flip(a)]. given #9358 (H,wt=13): 10243 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(17,a,8954,a,b,10242,a)]. given #9359 (H,wt=15): 10244 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(10243(a,1),10242(a,1,2))]. given #9360 (H,wt=15): 10245 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(227,a,10220,a(flip),b,10244,a)]. given #9361 (H,wt=14): 10247 a(x,y,x) \ x != z | L(x,y,x) = z. [para(10245(a,1),205(a,1)),flip(b)]. given #9362 (H,wt=15): 10246 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(227,a,8468,a,b,10245,a(flip)),flip(a)]. given #9363 (H,wt=15): 10248 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(18,a,13,a(flip),b,10246,a)]. given #9364 (H,wt=15): 10249 a(x,y,x) * (z * x) = z * R(x,y,x). [para(10248(a,1),16(a,1,1)),flip(a)]. given #9365 (H,wt=15): 10250 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(10248(a,1),68(a,1,1,1))]. given #9366 (H,wt=12): 10254 R(a(x,y,x),x,z) = a(x,y,x). [hyper(227,a,9675,a(flip),b,10250,a(flip)),flip(a)]. given #9367 (H,wt=15): 10251 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(227,a,10212,a(flip),b,10249,a(flip)),flip(a)]. given #9368 (H,wt=15): 10252 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(72,a,10249,a(flip),b,10212,a(flip))]. given #9369 (H,wt=15): 10258 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(306,a,10251,a),flip(a)]. given #9370 (H,wt=15): 10260 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(227,a,6225,a,b,10258,a(flip)),flip(a)]. given #9371 (H,wt=15): 10263 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),10260(a,1,2)),flip(a)]. given #9372 (H,wt=15): 10264 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10260(a,1),2300(a,1,2))]. given #9373 (H,wt=15): 10265 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(227,a,10212,a,b,10263,a(flip)),flip(a)]. given #9374 (H,wt=16): 10218 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(10209(a,1),8961(a,1))]. given #9375 (H,wt=16): 10222 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10213(a,1),168(a,1,2)),flip(b)]. given #9376 (H,wt=16): 10223 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(10213(a,1),408(a,1))]. given #9377 (H,wt=16): 10227 x * a(y,z,y) != u * x | a(y,z,y) = u. [para(10215(a,1),169(a,1,2)),flip(b)]. given #9378 (H,wt=16): 10228 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10215(a,1),210(a,1,2))]. given #9379 (H,wt=17): 10270 K(x * y,x) != z | K(y,x) * a(x,y,x) = z. [para(8927(a,1),10218(a,1))]. given #9380 (H,wt=18): 10210 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [para(6444(a,1),10194(a,1,2)),flip(a)]. given #9381 (H,wt=18): 10211 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10195(a,1),8255(a,1,2,3))]. given #9382 (H,wt=18): 10214 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [hyper(6490,a,10209,a)]. given #9383 (H,wt=18): 10217 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5301(a,2),10209(a,1,1))]. given #9384 (H,wt=18): 10236 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [para(10219(a,1),8958(a,1,2)),flip(a)]. given #9385 (H,wt=18): 10255 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10250(a,1),207(a,1,1)),flip(b)]. given #9386 (H,wt=18): 10266 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(10263(a,1),282(a,1,2)),flip(b)]. given #9387 (H,wt=18): 10267 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(72,a,10264,a(flip),b,100,a)]. given #9388 (H,wt=12): 10274 L(a(x,y,x),z,x) = a(x,y,x). [hyper(10266,a,10267,a),flip(a)]. given #9389 (H,wt=18): 10271 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(10244(a,2),10223(a,1))]. given #9390 (H,wt=18): 10275 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(227,a,10252,a,b,10274,a)]. given #9391 (H,wt=19): 10190 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [hyper(227,a,6850,a(flip),b,10188,a)]. given #9392 (H,wt=19): 10193 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(3070(a,1),10188(a,1,1))]. given #9393 (H,wt=19): 10196 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(227,a,8060,a(flip),b,10189,a(flip)),flip(a)]. given #9394 (H,wt=19): 10200 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(227,a,8060,a(flip),b,10197,a(flip)),flip(a)]. given #9395 (H,wt=19): 10201 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(10197(a,1),100(a,1,2))]. given #9396 (H,wt=19): 10203 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [hyper(227,a,8060,a(flip),b,10202,a(flip)),flip(a)]. given #9397 (H,wt=19): 10205 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(10202(a,1),100(a,1,2))]. given #9398 (H,wt=12): 10281 R(K(x,y),K(y,z),u) = K(x,y). [hyper(9290,a,10205,a)]. given #9399 (H,wt=12): 10285 R(K(x,y),K(z,y),u) = K(x,y). [para(5199(a,1),10281(a,1,2))]. given #9400 (H,wt=19): 10226 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10224(a,1),5031(a,1,1,1))]. given #9401 (H,wt=11): 10286 T(x,R(a(y,z,y),u,w)) = x. [hyper(169,a,10226,a)]. given #9402 (H,wt=19): 10277 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(73,a,6876,a(flip),b,10193,a)]. given #9403 (H,wt=19): 10278 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(3070(a,1),10196(a,1,1))]. given #9404 (H,wt=19): 10280 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(227,a,10190,a,b,10203,a)]. given #9405 (H,wt=19): 10282 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(73,a,6488,a(flip),b,10205,a)]. given #9406 (H,wt=20): 10230 x * a(y,z,y) != u * w | u \ (a(y,z,y) * x) = w. [para(10215(a,1),547(a,1,2))]. given #9407 (H,wt=20): 10241 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10239(a,1),8929(a,1,1))]. given #9408 (H,wt=20): 10261 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(2531(a,1),10258(a,1,2))]. given #9409 (H,wt=21): 10259 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10251(a,1),9850(a,1,1))]. given #9410 (H,wt=19): 10293 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(227,a,9687,a(flip),b,10259,a)]. given #9411 (H,wt=21): 10272 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(10214(a,1),19(a,1)),flip(a)]. given #9412 (H,wt=21): 10289 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(166,a,10280,a(flip),b,659,a),flip(a)]. given #9413 (H,wt=21): 10294 L(T(x,y),z,T(x,u)) = (y * R(x,z,x)) \ ((x * y) * x). [hyper(227,a,9687,a,b,10293,a),flip(a)]. given #9414 (H,wt=22): 10231 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(227,a,8965,a(flip),b,10212,a)]. given #9415 (H,wt=22): 10253 a(x,y,x) * (z * x) != u * w | u \ (z * R(x,y,x)) = w. [para(10249(a,2),457(a,1))]. given #9416 (H,wt=22): 10268 x * (y * a(x,z,x)) != u * w | u \ (R(x,z,x) * y) = w. [para(10264(a,2),457(a,1))]. given #9417 (H,wt=22): 10273 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(6193(a,1),10217(a,1,2))]. given #9418 (H,wt=22): 10296 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(227,a,8865,a(flip),b,10273,a(flip)),flip(a)]. given #9419 (H,wt=17): 10297 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(10217(a,1),10296(a,1,2)),flip(a)]. given #9420 (H,wt=17): 10298 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(308,a,10297,a),flip(a)]. given #9421 (H,wt=23): 10207 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10198(a,1),100(a,1,2))]. given #9422 (H,wt=23): 10208 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [para(10199(a,1),100(a,1,2))]. given #9423 (H,wt=23): 10216 K(x * y,x) * (K(x,y) * z) != z * u | T(a(x,y,x),z) = u. [para(10209(a,2),167(a,2)),flip(a)]. given #9424 (H,wt=23): 10233 L(x \ (a(y,z,y) \ u),x,a(y,z,y)) = (x * a(y,z,y)) \ u. [para(10212(a,1),219(a,2,1))]. given #9425 (H,wt=17): 10300 (a(x,y,x) * z) \ u = (z * a(x,y,x)) \ u. [hyper(227,a,219,a(flip),b,10233,a(flip)),flip(a)]. given #9426 (H,wt=23): 10262 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10258(a,2),8964(a,1,2))]. given #9427 (H,wt=21): 10301 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(227,a,10136,a(flip),b,10262,a(flip)),flip(a)]. given #9428 (H,wt=23): 10288 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(6559(a,1),10278(a,1,1,1))]. given #9429 (H,wt=24): 10191 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(10188(a,1),283(a,1,2))]. given #9430 (H,wt=24): 10234 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10212(a,1),720(a,1,2,1))]. given #9431 (H,wt=20): 10304 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10215(a,1),10234(a,2,1))]. given #9432 (H,wt=21): 10305 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(8918(a,2),10304(a,1,2,1))]. given #9433 (H,wt=19): 10307 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(227,a,9943,a,b,10305,a(flip)),flip(a)]. given #9434 (H,wt=24): 10283 x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. [para(10205(a,1),283(a,1,2))]. given #9435 (H,wt=24): 10290 (K(x,y) * K(y,z)) \ u != u * w | T(K(y,x) * K(z,y),u) = w. [para(10280(a,2),167(a,2)),flip(a)]. given #9436 (H,wt=24): 10303 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(9795(a,1),10191(a,1))]. given #9437 (H,wt=25): 10279 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(227,a,8839,a(flip),b,10200,a(flip))]. given #9438 (H,wt=23): 10309 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3822(a,1),10279(a,1,2)),flip(a)]. given #9439 (H,wt=23): 10310 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(227,a,6193,a(flip),b,10309,a)]. given #9440 (H,wt=21): 10311 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(7778(a,1),10310(a,2,2))]. given #9441 (H,wt=25): 10287 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7515(a,1),10277(a,1,1))]. given #9442 (H,wt=23): 10312 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7515(a,1),10287(a,1,2))]. given #9443 (H,wt=23): 10313 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(227,a,6583,a(flip),b,10312,a)]. given #9444 (H,wt=25): 10291 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5305(a,1),10282(a,1,1))]. given #9445 (H,wt=26): 10276 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(227,a,303,a(flip),b,10275,a)]. given #9446 (H,wt=27): 10269 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10265(a,1),506(a,1,1,1))]. given #9447 (H,wt=27): 10302 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10301(a,1),8634(a,1,2))]. given #9448 (H,wt=25): 10316 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(6182,a,10302,a),flip(a)]. given #9449 (H,wt=28): 10235 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(10212(a,1),872(a,1,1))]. given #9450 (H,wt=29): 8899 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(227,a,8399,a(flip),b,8898,a)]. given #9451 (H,wt=27): 10317 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(2841(a,1),8899(a,1,2))]. given #9452 (H,wt=17): 10318 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(825,a,10317,a),flip(a)]. given #9453 (H,wt=17): 10321 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10318(a,1),14(a,1,2))]. given #9454 (H,wt=19): 10322 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10318(a,1),4644(a,1,1)),flip(a)]. given #9455 (H,wt=20): 10319 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10317(a,1),825(a,1))]. given #9456 (H,wt=20): 10320 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(227,a,8399,a,b,10318,a(flip)),flip(a)]. given #9457 (H,wt=20): 10327 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10320(a,1),5314(a,1,1))]. given #9458 (H,wt=23): 10323 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10318(a,1),8626(a,1,2)),flip(a)]. given #9459 (H,wt=21): 10331 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5806,a,10323,a)]. given #9460 (H,wt=21): 10333 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10331(a,1),14(a,1,2))]. given #9461 (H,wt=23): 10326 K(x * R(y,z,u),y) * K(y,x) != w | a(y,x,R(y,z,u)) = w. [para(8399(a,2),10319(a,1))]. given #9462 (H,wt=25): 10330 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(16(a,1),10327(a,1,2,2))]. given #9463 (H,wt=25): 10332 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(227,a,1912,a(flip),b,10331,a(flip)),flip(a)]. given #9464 (H,wt=28): 10329 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10320(a,1),7840(a,1,1)),flip(a)]. given #9465 (H,wt=29): 8900 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(227,a,8128,a(flip),b,8898,a)]. given #9466 (H,wt=27): 10334 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(2712(a,1),8900(a,1,2))]. given #9467 (H,wt=17): 10335 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(825,a,10334,a),flip(a)]. given #9468 (H,wt=20): 10336 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10335(a,1),8683(a,1,2))]. given #9469 (H,wt=23): 10337 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10336(a,1),19(a,1))]. given #9470 (H,wt=29): 9230 (x \ (1 / y)) * K(z * u,u \ (z \ 1)) = x \ ((z * u) * (1 / (y * (z * u)))). [para(123(a,1),9156(a,1,2,2))]. given #9471 (H,wt=27): 10338 x \ ((y * z) * (1 / (u * (y * z)))) = (x \ (1 / u)) * K(z \ y,y \ z). [para(8370(a,1),9230(a,1,2)),flip(a)]. given #9472 (H,wt=25): 10339 (x \ (1 / y)) * K(z \ u,u \ z) = x \ (K(z \ u,u \ z) / y). [para(8392(a,1),10338(a,1,2)),flip(a)]. given #9473 (H,wt=29): 9245 1 / ((x \ (y \ (1 / (z \ 1)))) * (z \ 1)) = (z * z) * (z \ (((z \ 1) * y) * x)). [hyper(227,a,3343,a,b,9244,a)]. given #9474 (H,wt=25): 10340 (x * x) * (x \ (((x \ 1) * y) * z)) = 1 / ((z \ (y \ x)) * (x \ 1)). [para(62(a,1),9245(a,1,2,1,2,2)),flip(a)]. given #9475 (H,wt=21): 10341 (x * x) * (x \ (((x \ 1) * y) * z)) = x / (z \ (y \ x)). [hyper(227,a,263,a(flip),b,10340,a)]. given #9476 (H,wt=19): 10342 (x \ 1) \ (((x \ 1) * y) * z) = x / (z \ (y \ x)). [hyper(3345,a,10341,a)]. given #9477 (H,wt=20): 10343 L(x / (y \ (z \ x)),x,x) = x * (((x \ 1) * z) * y). [para(10342(a,1),1387(a,1,1))]. given #9478 (H,wt=19): 10348 1 / ((x \ (y \ z)) / z) = z * (((z \ 1) * y) * x). [hyper(1469,a,10343,a)]. given #9479 (H,wt=23): 10344 x / (y \ ((z * (x \ 1)) \ x)) = (x \ 1) \ ((x \ (z / x)) * y). [para(1361(a,1),10342(a,1,2,1)),flip(a)]. given #9480 (H,wt=21): 10349 (x \ 1) \ ((x \ (y / x)) * z) = x / (z \ (x * (y \ x))). [para(780(a,1),10344(a,1,2,2)),flip(a)]. given #9481 (H,wt=23): 10345 (((x \ 1) * y) * z) \ (x \ 1) = (x * (x / (z \ (y \ x)))) \ x. [para(10342(a,1),1431(a,1,1,2)),flip(a)]. given #9482 (H,wt=19): 10350 (((x \ 1) * y) * z) \ (x \ 1) = (z \ (y \ x)) / x. [hyper(227,a,963,a(flip),b,10345,a)]. given #9483 (H,wt=23): 10346 (1 / (x \ 1)) * (((x \ 1) / y) / z) = 1 / (x / (y \ (z \ x))). [para(10342(a,1),1884(a,1,2)),flip(a)]. given #9484 (H,wt=19): 10351 1 / (x / (y \ (z \ x))) = x * (((x \ 1) / y) / z). [hyper(301,a,10346,a),flip(a)]. given #9485 (H,wt=19): 10353 1 / (x / (y \ (z \ x))) = x * ((x \ (1 / y)) / z). [para(318(a,1),10351(a,2,2,1))]. given #9486 (H,wt=29): 9263 (1 / x) * ((y / x) \ ((z \ u) * (1 / u))) = (((u * (1 / (x * u))) \ z) * y) \ x. [para(9262(a,1),1523(a,2,1,1))]. given #9487 (H,wt=29): 9561 L(K(x,y \ (x \ (z \ u))),z \ u,z) != w | K(x,(z * (y / (x \ 1))) \ u) = w. [para(9017(a,1),9557(a,1,1))]. given #9488 (H,wt=29): 9584 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(7240(a,1),9580(a,1,1))]. given #9489 (H,wt=29): 9626 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) != u * w | u \ ((x \ (y * z)) * x) = w. [para(9622(a,2),457(a,1))]. given #9490 (H,wt=29): 9838 L(x,y \ (z \ (u \ 1)),y \ ((u * z) \ 1)) = L(x,(u * z) * y,(u * z) * y). [para(123(a,1),9834(a,1,2,2))]. given #9491 (H,wt=29): 9845 T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = ((((z \ 1) \ 1) \ (y \ 1)) \ 1) * x. [para(318(a,1),9844(a,1,2))]. given #9492 (H,wt=29): 9960 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(9959(a,1),20(a,1))]. given #9493 (H,wt=18): 10356 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8444(a,1),9960(a,1)),flip(a)]. given #9494 (H,wt=29): 10034 L(x,((1 / y) * z) * u,((1 / y) * z) * u) = L(x,(z \ y) \ u,(z \ y) \ u). [hyper(1435,a,9404,a)]. given #9495 (H,wt=29): 10101 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10100(a,1),5803(a,1,2,1))]. given #9496 (H,wt=20): 10357 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(227,a,5835,a(flip),b,10101,a(flip))]. given #9497 (H,wt=29): 10142 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(227,a,1912,a(flip),b,6423,a(flip)),flip(a)]. given #9498 (H,wt=29): 10204 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(227,a,5163,a(flip),b,10202,a(flip)),flip(a)]. given #9499 (H,wt=29): 10308 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(4978(a,1),10307(a,1,1,2)),flip(a)]. given #9500 (H,wt=23): 10360 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4978(a,1),10308(a,2,2))]. given #9501 (H,wt=29): 10324 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(9969(a,2),10318(a,1,2))]. given #9502 (H,wt=25): 10361 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10319,a,10324,a)]. given #9503 (H,wt=21): 10362 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(227,a,9397,a(flip),b,10361,a(flip))]. given #9504 (H,wt=17): 10363 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(8123,a,10362,a)]. given #9505 (H,wt=29): 10325 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(8122(a,1),10322(a,2,1))]. given #9506 (H,wt=27): 10364 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9969(a,1),10325(a,1,1))]. given #9507 (H,wt=25): 10365 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10363(a,1),10364(a,2,1))]. given #9508 (H,wt=23): 10366 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(227,a,10322,a(flip),b,10365,a(flip)),flip(a)]. given #9509 (H,wt=29): 10354 L(x,y \ (z \ (u \ 1)),y \ (z \ (u \ 1))) = L(x,(u * z) * y,(u * z) * y). [para(123(a,1),9838(a,1,3,2))]. given #9510 (H,wt=29): 10355 T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = (((y \ 1) \ 1) * (1 / (z \ 1))) * x. [para(1070(a,1),9845(a,2,1))]. given #9511 (H,wt=25): 10367 T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = (((y \ 1) \ 1) * z) * x. [para(62(a,1),10355(a,2,1,2))]. given #9512 (H,wt=25): 10368 T(x * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = (((y \ 1) \ 1) * z) * x. [hyper(227,a,9103,a(flip),b,10367,a(flip)),flip(a)]. given #9513 (H,wt=29): 10359 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(8465,a,10204,a)]. given #9514 (H,wt=30): 6848 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6109(a,1),514(a,1,1))]. given #9515 (H,wt=25): 10370 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(227,a,7964,a(flip),b,6848,a(flip))]. given #9516 (H,wt=30): 7870 K(x,T(((y * K(z,x)) * u) / w,y * u)) != v5 | K(x,w \ ((y * K(z,x)) * u)) = v5. [para(7608(a,1),6318(a,1))]. given #9517 (H,wt=30): 7954 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(7910(a,1),4965(a,1,1,1))]. given #9518 (H,wt=28): 10371 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(7954(a,1),5224(a,1))]. given #9519 (H,wt=21): 10372 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10371,a,9730,a)]. given #9520 (H,wt=30): 8055 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(868(a,1),8053(a,2,2))]. given #9521 (H,wt=22): 10373 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(16(a,1),8055(a,1,2))]. given #9522 (H,wt=30): 8454 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(166,a,8440,a,b,711,a)]. given #9523 (H,wt=23): 10375 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10189(a,1),8454(a,1,1,1)),flip(a)]. given #9524 (H,wt=23): 10376 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(3070(a,1),10375(a,1,2,2))]. given #9525 (H,wt=29): 10377 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10376(a,1),6505(a,1,1))]. given #9526 (H,wt=25): 10378 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6478(a,1),10377(a,1,1,1)),flip(a)]. given #9527 (H,wt=30): 8594 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(227,a,7772,a(flip),b,8293,a)]. given #9528 (H,wt=30): 8616 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(4647(a,1),8615(a,2,2))]. given #9529 (H,wt=30): 8789 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(8788(a,1),4997(a,1,2,1))]. given #9530 (H,wt=23): 10380 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5230,a,8789,a),flip(a)]. given #9531 (H,wt=23): 10381 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(227,a,7844,a(flip),b,10380,a)]. given #9532 (H,wt=23): 10382 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(7852,a,10381,a)]. given #9533 (H,wt=23): 10383 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9376(a,1),10382(a,1,2))]. given #9534 (H,wt=24): 10384 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(227,a,9988,a(flip),b,10383,a(flip))]. given #9535 (H,wt=21): 10385 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(227,a,7849,a(flip),b,10384,a(flip))]. given #9536 (H,wt=21): 10386 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7430,a,10385,a)]. given #9537 (H,wt=24): 10387 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(227,a,9609,a(flip),b,10386,a(flip)),flip(a)]. given #9538 (H,wt=12): 10388 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(227,a,9002,a(flip),b,10387,a)]. given #9539 (H,wt=10): 10390 K(x,K(y,a(z,x,u))) = 1. [para(160(a,1),10388(a,1,2,2,3))]. given #9540 (H,wt=15): 10392 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10390(a,1),7404(a,1,2)),flip(a)]. given #9541 (H,wt=13): 10393 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(227,a,12,a(flip),b,10392,a)]. given #9542 (H,wt=17): 10394 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(7700,a,10393,a)]. given #9543 (H,wt=21): 10395 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10394(a,1),113(a,1,2)),flip(a)]. given #9544 (H,wt=30): 8938 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(8923(a,1),1677(a,1,1,2))]. given #9545 (H,wt=28): 10396 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(1938(a,1),8938(a,1,1)),flip(a)]. given #9546 (H,wt=30): 8972 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7515(a,1),6492(a,1,1,3)),flip(a)]. given #9547 (H,wt=30): 9010 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(5595(a,2),8153(a,2,2,1))]. given #9548 (H,wt=30): 9011 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(5605(a,2),8153(a,2,2,1))]. given #9549 (H,wt=30): 9330 (K(x \ y,y \ x) / (z * u)) * z != w * v5 | w \ (K(x \ y,y \ x) / u) = v5. [para(9320(a,1),278(a,1,1))]. given #9550 (H,wt=30): 9514 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(227,a,8227,a(flip),b,9513,a(flip)),flip(a)]. given #9551 (H,wt=26): 10398 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9514(a,2),7650(a,1))]. given #9552 (H,wt=30): 9892 (x * (((x \ y) \ 1) \ 1)) * z != u * w | u \ (x * (1 / ((z \ (1 / y)) * x))) = w. [para(9889(a,2),457(a,1))]. given #9553 (H,wt=30): 9930 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9929(a,1),4965(a,1,1,1))]. given #9554 (H,wt=28): 10399 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9930(a,1),5224(a,1))]. given #9555 (H,wt=28): 10400 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10399,a,9702,a)]. given #9556 (H,wt=23): 10401 K(L(x,y,z) \ u,L(x,y,z)) != w | K(x \ u,L(x,y,z)) = w. [para(10400(a,1),9989(a,1))]. given #9557 (H,wt=30): 10232 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(72,a,10212,a,b,719,a)]. given #9558 (H,wt=27): 10402 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(10232(a,1),10235(a,1))]. given #9559 (H,wt=30): 10328 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7019(a,1),10320(a,1,1))]. given #9560 (H,wt=25): 10403 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(6565(a,1),10328(a,1,2)),flip(a)]. given #9561 (H,wt=20): 10404 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(227,a,10320,a(flip),b,10403,a)]. given #9562 (H,wt=17): 10407 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(367(a,1),10404(a,1,2,2))]. given #9563 (H,wt=25): 10406 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(115(a,1),10404(a,1,2)),flip(a)]. given #9564 (H,wt=25): 10408 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10406(a,1),10330(a,1,1))]. given #9565 (H,wt=25): 10409 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(227,a,6607,a(flip),b,10408,a)]. given #9566 (H,wt=30): 10374 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(227,a,8810,a(flip),b,10373,a(flip)),flip(a)]. given #9567 (H,wt=26): 10410 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(10181(a,1),10374(a,1,1))]. given #9568 (H,wt=23): 10411 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(227,a,10373,a(flip),b,10410,a(flip))]. given #9569 (H,wt=23): 10413 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(7870,a,10411,a),flip(a)]. given #9570 (H,wt=19): 10414 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(6318,a,10413,a),flip(a)]. given #9571 (H,wt=19): 10415 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5300(a,1),10414(a,1,2,2,1)),flip(a)]. given #9572 (H,wt=30): 10379 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(42(a,2),8594(a,1,1,2))]. given #9573 (H,wt=30): 10397 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(6559(a,1),8972(a,2,1,2))]. given #9574 (H,wt=28): 10417 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9676(a,1),10397(a,2,1))]. given #9575 (H,wt=27): 10418 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(227,a,10045,a(flip),b,10417,a)]. given #9576 (H,wt=27): 10419 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(6559(a,1),10418(a,1,1,2))]. given #9577 (H,wt=25): 10420 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7515(a,1),10419(a,1,2))]. given #9578 (H,wt=30): 10416 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7486(a,1),10379(a,1,2))]. given #9579 (H,wt=23): 10422 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7673(a,1),10416(a,1,2))]. given #9580 (H,wt=28): 10423 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10422(a,1),5364(a,1,1,2))]. given #9581 (H,wt=26): 10425 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5363(a,1),10423(a,1,1))]. given #9582 (H,wt=21): 10426 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(227,a,5701,a(flip),b,10425,a(flip))]. given #9583 (H,wt=31): 6358 K((x \ 1) * (1 / (y / z)),(y / z) * x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). [hyper(227,a,4371,a(flip),b,6106,a(flip))]. given #9584 (H,wt=29): 10428 ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,((x / y) * z) \ 1). [hyper(8310,a,6358,a),flip(a)]. given #9585 (H,wt=29): 10429 ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,z \ ((x / y) \ 1)). [hyper(227,a,8154,a(flip),b,10428,a)]. given #9586 (H,wt=29): 10430 ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,z \ (y * (x \ 1))). [para(125(a,1),10429(a,2,2,2))]. given #9587 (H,wt=31): 6380 (x / y) * ((y \ x) \ ((1 / K(y,y \ x)) \ z)) = (K(y,y \ x) * K(y,y \ x)) * z. [hyper(227,a,1017,a(flip),b,6246,a)]. given #9588 (H,wt=29): 10431 (x / y) * ((y \ x) \ (K(y \ x,y) \ z)) = (K(y,y \ x) * K(y,y \ x)) * z. [para(5101(a,1),6380(a,1,2,2,1))]. given #9589 (H,wt=25): 10432 (K(x,x \ y) * K(x,x \ y)) * z = (y / x) * (T(x \ y,x) \ z). [para(5813(a,1),10431(a,1,2)),flip(a)]. given #9590 (H,wt=27): 10433 ((x / y) * ((y \ x) \ K(y,y \ x))) * z = (x / y) * (T(y \ x,y) \ z). [para(6246(a,2),10432(a,1,1))]. given #9591 (H,wt=25): 10434 ((x / y) * (T(y \ x,y) \ 1)) * z = (x / y) * (T(y \ x,y) \ z). [para(4963(a,2),10433(a,1,1,2))]. given #9592 (H,wt=23): 10435 ((x / y) * T(x \ y,y)) * z = (x / y) * (T(y \ x,y) \ z). [para(973(a,1),10434(a,1,1,2))]. given #9593 (H,wt=31): 6441 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(6425(a,1),466(a,1,1)),flip(a)]. given #9594 (H,wt=25): 10436 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(6425(a,1),6441(a,2,2))]. given #9595 (H,wt=23): 10437 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(10436(a,2),474(a,1))]. given #9596 (H,wt=31): 6637 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6512(a,1),498(a,1,2)),flip(a)]. given #9597 (H,wt=25): 10439 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6512(a,1),6637(a,2,1))]. given #9598 (H,wt=23): 10440 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) != w | R(x,y,z) = w. [para(10439(a,2),506(a,1))]. given #9599 (H,wt=29): 10442 R(R(x,y,(z \ u) \ u),y * T(z,z \ u),K(z \ u,z)) != w | R(x,y,z) = w. [para(114(a,1),10440(a,1,1,3))]. given #9600 (H,wt=16): 10443 R(x,y,(z \ 1) \ 1) != u | R(x,y,z) = u. [para(9082(a,1),10442(a,1))]. given #9601 (H,wt=31): 7184 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(7021(a,1),5368(a,1,2,1,2)),flip(a)]. given #9602 (H,wt=21): 10444 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(227,a,5368,a(flip),b,7184,a)]. given #9603 (H,wt=23): 10445 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(114(a,1),10444(a,1,1,1))]. given #9604 (H,wt=31): 7224 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(227,a,5735,a(flip),b,7198,a(flip))]. given #9605 (H,wt=31): 7639 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(5178(a,2),7473(a,1))]. given #9606 (H,wt=31): 7788 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(5600(a,1),7766(a,1,1,2))]. given #9607 (H,wt=29): 10447 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(145(a,1),7788(a,1,1))]. given #9608 (H,wt=29): 10449 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6497(a,1),10447(a,1,2))]. given #9609 (H,wt=24): 10450 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5708(a,1),10449(a,1,2)),flip(a)]. given #9610 (H,wt=22): 10451 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(227,a,11,a(flip),b,10450,a)]. given #9611 (H,wt=22): 10452 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(6490,a,10451,a)]. given #9612 (H,wt=29): 10454 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(8247(a,1),10452(a,1,1))]. given #9613 (H,wt=27): 10455 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(6484,a,10454,a)]. given #9614 (H,wt=23): 10457 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(10319,a,10455,a)]. given #9615 (H,wt=26): 10458 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(10455(a,1),10319(a,1))]. given #9616 (H,wt=27): 10456 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10426(a,1),10454(a,1,2,2))]. given #9617 (H,wt=27): 10459 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10323(a,1),10456(a,1,2))]. given #9618 (H,wt=19): 10460 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(6463,a,10459,a)]. given #9619 (H,wt=19): 10462 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(10458,a,10460,a)]. given #9620 (H,wt=19): 10465 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(10462(a,1),10366(a,1,1)),flip(a)]. given #9621 (H,wt=22): 10461 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(10459(a,1),6463(a,1)),flip(b)]. given #9622 (H,wt=22): 10467 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(10457(a,2),10461(a,1))]. given #9623 (H,wt=31): 7825 K(T(x * K(y * K(z,u),w),y * K(z,u)),u) = K(y \ (x * T(y * K(z,u),w)),u). [para(6009(a,1),7822(a,1,1))]. given #9624 (H,wt=31): 8099 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(6323,a,8087,a),flip(a)]. given #9625 (H,wt=31): 8110 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(466(a,1),8101(a,1,2))]. given #9626 (H,wt=26): 10469 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(227,a,7318,a(flip),b,8110,a(flip))]. given #9627 (H,wt=22): 10471 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(227,a,7955,a(flip),b,10469,a(flip))]. given #9628 (H,wt=17): 10473 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10471(a,2,2))]. given #9629 (H,wt=17): 10474 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5202(a,1),10473(a,1,2,2,1))]. given #9630 (H,wt=17): 10475 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(6443(a,2),10473(a,1,2,2))]. given #9631 (H,wt=23): 10476 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10474(a,1),5315(a,1,2,2)),flip(a)]. given #9632 (H,wt=17): 10477 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(227,a,5315,a(flip),b,10476,a)]. given #9633 (H,wt=15): 10478 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4970(a,1),10477(a,1,1,2)),flip(a)]. given #9634 (H,wt=31): 8179 ((x * (y * T(y,z))) \ (K(y,z) \ 1)) \ 1 = (K(y,z) / (1 / (x * (y * y)))) * K(y,z). [para(8175(a,1),3428(a,1,1,1))]. given #9635 (H,wt=29): 10479 (K(x,y) / (1 / (z * (x * x)))) * K(x,y) = ((z * (x * T(x,y))) \ K(y,x)) \ 1. [para(5084(a,1),8179(a,1,1,2)),flip(a)]. given #9636 (H,wt=31): 8345 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x \ (1 / (x / y)),x * (y \ x)) * z. [para(8331(a,1),4207(a,2,1))]. given #9637 (H,wt=31): 8514 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5304(a,1),8513(a,2,1,2,1))]. given #9638 (H,wt=29): 10482 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(227,a,7553,a(flip),b,8514,a(flip)),flip(a)]. given #9639 (H,wt=27): 10483 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(227,a,7863,a(flip),b,10482,a(flip)),flip(a)]. given #9640 (H,wt=25): 10484 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(227,a,8515,a(flip),b,10483,a(flip))]. given #9641 (H,wt=23): 10485 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(227,a,7556,a(flip),b,10484,a)]. given #9642 (H,wt=21): 10486 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(5006(a,1),10485(a,1,1))]. given #9643 (H,wt=21): 10487 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(227,a,8503,a(flip),b,10486,a)]. given #9644 (H,wt=17): 10488 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(227,a,8503,a(flip),b,10487,a(flip)),flip(a)]. given #9645 (H,wt=17): 10489 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(227,a,7170,a,b,10488,a(flip)),flip(a)]. given #9646 (H,wt=31): 8863 (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = ((x \ y) \ ((x \ y) / z)) \ 1. [para(8623(a,1),1723(a,2,1))]. given #9647 (H,wt=28): 10490 (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = L(z,x \ y,x \ y). [hyper(227,a,1031,a(flip),b,8863,a)]. given #9648 (H,wt=28): 10491 (x * (y \ 1)) * (((x * (y \ 1)) \ 1) * (1 / (z \ 1))) = L(z,x \ y,x \ y). [para(1070(a,1),10490(a,1,2))]. given #9649 (H,wt=28): 10492 (x * (y \ 1)) * (((y \ 1) \ (x \ 1)) * (1 / (z \ 1))) = L(z,x \ y,x \ y). [para(123(a,1),10491(a,1,2,1))]. given #9650 (H,wt=24): 10493 (x * (y \ 1)) * (((y \ 1) \ (x \ 1)) * z) = L(z,x \ y,x \ y). [para(62(a,1),10492(a,1,2,2))]. given #9651 (H,wt=21): 10494 L(x,y * (z \ 1),y * (z \ 1)) = L(x,y \ z,y \ z). [hyper(1434,a,10493,a)]. given #9652 (H,wt=31): 8867 (K(x \ y,x) * (y * (x \ 1))) / (1 / (y * (x \ 1))) = ((1 / x) * y) * (y * (x \ 1)). [hyper(2034,a,8866,a)]. given #9653 (H,wt=27): 10495 (K(x \ y,x) * (y * (x \ 1))) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). [hyper(227,a,10184,a(flip),b,8867,a)]. given #9654 (H,wt=31): 8869 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(7002(a,1),8738(a,1,1,1,1,2))]. given #9655 (H,wt=26): 10496 K(x,T(T(T(x,y) * z,u),w)) != v5 | K(x,T(T(z * T(x,y),u),w)) = v5. [para(8869(a,1),8739(a,1))]. given #9656 (H,wt=21): 10497 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(10496,a,8891,a)]. given #9657 (H,wt=31): 9261 ((((x * (1 / y)) / z) \ x) \ u) * (1 / u) = (1 / x) * (((z * (y / x)) \ u) * (1 / u)). [para(9258(a,1),9234(a,1,1,1))]. given #9658 (H,wt=31): 9463 (((x \ y) * (1 / y)) \ z) * ((1 / u) * w) = ((x \ 1) \ z) * (K(y,y \ 1) / (w \ u)). [para(6534(a,1),9337(a,1,2)),flip(a)]. given #9659 (H,wt=31): 9606 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(8725,a,9533,a)]. given #9660 (H,wt=25): 10499 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(227,a,9994,a(flip),b,9606,a)]. given #9661 (H,wt=8): 10500 K(a(x,y,z),x) = 1. [hyper(5598,a,10499,a),flip(a)]. given #9662 (H,wt=11): 10503 T(a(x,y,z),x) = a(x,y,z). [hyper(37,a,10500,a)]. given #9663 (H,wt=13): 10504 a(x,y,z) * x = x * a(x,y,z). [para(10503(a,1),113(a,1,2)),flip(a)]. given #9664 (H,wt=31): 9683 L(L(x,1 / y,L(z,y,y)),z / y,K(L(z,y,y),u)) = L(x,1 / y,T(L(z,y,y),u)). [para(1318(a,1),9678(a,1,2))]. given #9665 (H,wt=31): 9717 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(2393(a,1),9713(a,1,1,1)),flip(a)]. given #9666 (H,wt=28): 10505 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(10401,a,9717,a)]. given #9667 (H,wt=24): 10506 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(227,a,10372,a(flip),b,10505,a(flip)),flip(a)]. given #9668 (H,wt=24): 10507 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(8150,a,10506,a)]. given #9669 (H,wt=24): 10508 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(227,a,9984,a(flip),b,10507,a)]. given #9670 (H,wt=24): 10509 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(6168,a,10508,a)]. given #9671 (H,wt=31): 9719 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(9128(a,1),9716(a,1,1,2,1))]. given #9672 (H,wt=28): 10510 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(10401,a,9719,a)]. given #9673 (H,wt=24): 10511 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(227,a,10372,a(flip),b,10510,a(flip)),flip(a)]. given #9674 (H,wt=22): 10512 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(8300,a,10511,a)]. given #9675 (H,wt=22): 10513 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(6168,a,10512,a)]. given #9676 (H,wt=22): 10514 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(227,a,9543,a(flip),b,10513,a)]. given #9677 (H,wt=20): 10515 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(50(a,1),10514(a,2,1))]. given #9678 (H,wt=21): 10516 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(227,a,10509,a(flip),b,10515,a(flip)),flip(a)]. given #9679 (H,wt=21): 10517 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(227,a,9984,a,b,10516,a(flip)),flip(a)]. given #9680 (H,wt=21): 10518 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(227,a,9541,a,b,10516,a(flip)),flip(a)]. given #9681 (H,wt=21): 10520 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(227,a,9543,a,b,10518,a(flip)),flip(a)]. given #9682 (H,wt=22): 10519 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(227,a,8483,a(flip),b,10516,a(flip))]. given #9683 (H,wt=31): 9816 (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)) = (x \ y) * L(L(L(y,x,x),x,x),z,u). [para(9810(a,1),4174(a,1,2,1)),flip(a)]. given #9684 (H,wt=25): 10521 (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)) = (x \ y) * L(y,z,u). [para(1386(a,1),9816(a,2,2,1))]. given #9685 (H,wt=31): 9877 (x * (1 / (1 / y))) / ((z \ 1) / (1 / y)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [para(1574(a,2),9873(a,2,1,2))]. given #9686 (H,wt=31): 9899 x / ((y \ (z \ 1)) * K(u \ w,w \ u)) = (1 / x) \ (z * (y * K(u \ w,w \ u))). [para(9898(a,1),340(a,1,2))]. given #9687 (H,wt=29): 10523 (1 / x) \ (y * (z * K(u \ w,w \ u))) = x / ((y * z) \ K(u \ w,w \ u)). [para(6542(a,1),9899(a,1,2)),flip(a)]. given #9688 (H,wt=31): 9908 (1 / x) \ (((((x \ y) \ 1) \ y) * (1 / y)) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [hyper(227,a,5734,a(flip),b,9442,a(flip))]. given #9689 (H,wt=31): 9909 (x \ K(y,z)) * ((T(z,y) \ 1) \ (u / (T(z,y) \ u))) = (x \ z) * (w / (T(z,y) \ w)). [para(62(a,2),9474(a,1,2,2))]. given #9690 (H,wt=15): 10525 (x \ y) * (T(y,z) \ 1) = x \ K(z,y). [hyper(2354,a,9909,a)]. given #9691 (H,wt=17): 10526 (x \ y) * T(1 / y,z) = x \ K(y \ z,y). [para(5310(a,1),10525(a,1,2))]. given #9692 (H,wt=25): 10527 (x \ y) * (K(z,K(1 / y,u)) * (1 / y)) = x \ K(y \ K(z,u),y). [para(7435(a,2),10526(a,1,2))]. given #9693 (H,wt=25): 10528 (x \ y) * (K(z,K(y,u \ 1)) * (1 / y)) = x \ K(y \ K(z,u),y). [para(5382(a,1),10527(a,1,2,1,2))]. given #9694 (H,wt=25): 10529 (x \ y) * (K(y,K(z,u \ 1)) * (1 / y)) = x \ K(y \ K(z,u),y). [para(7428(a,1),10528(a,1,2,1))]. given #9695 (H,wt=23): 10530 (x \ y) * (K(y,K(z,u)) * (1 / y)) = x \ K(y \ K(z,u),y). [para(7450(a,1),10529(a,1,2,1))]. given #9696 (H,wt=21): 10531 (x \ y) * (K(y,K(z,u)) / y) = x \ K(y \ K(z,u),y). [para(5757(a,1),10530(a,1,2))]. given #9697 (H,wt=21): 10532 (x \ y) * (K(y,K(z,u)) / y) = x \ K(y,y \ K(z,u)). [para(8583(a,1),10531(a,2,2))]. given #9698 (H,wt=31): 9954 (x * (y * T(y,z))) * (y \ (T(y,z) \ 1)) = (y * T(y,z)) * ((1 / (y * T(y,z))) * x). [para(9953(a,1),2043(a,1,2))]. given #9699 (H,wt=31): 10057 (x * ((x \ 1) * y)) * (z * (x * ((x \ 1) * y))) = y * (z * ((x \ 1) \ ((x \ 1) * y))). [para(13(a,1),10056(a,1,1)),flip(a)]. given #9700 (H,wt=23): 10533 (x * ((x \ 1) * y)) * (z * (x * ((x \ 1) * y))) = y * (z * y). [para(13(a,1),10057(a,2,2,2))]. given #9701 (H,wt=20): 10534 L(x,y,y) * (z * (y * ((y \ 1) * x))) = x * (z * x). [para(1389(a,1),10533(a,1,1))]. given #9702 (H,wt=17): 10535 L(x,y,y) * (z * L(x,y,y)) = x * (z * x). [para(1389(a,1),10534(a,1,2,2))]. given #9703 (H,wt=31): 10078 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10016(a,1),7473(a,1))]. given #9704 (H,wt=31): 10446 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(7198(a,1),7224(a,2,1))]. given #9705 (H,wt=31): 10453 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(5567(a,1),10452(a,1,2,2))]. given #9706 (H,wt=28): 10537 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(8135(a,1),10453(a,1,1))]. given #9707 (H,wt=24): 10538 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4958(a,2),10537(a,1,2))]. given #9708 (H,wt=24): 10540 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(5596(a,1),10538(a,1,1))]. given #9709 (H,wt=20): 10541 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(227,a,6256,a(flip),b,10540,a)]. given #9710 (H,wt=20): 10542 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(3077,a,10541,a)]. given #9711 (H,wt=31): 10468 K(x * K(y * K(z,u),w),T(u,y * K(z,u))) = K(y \ (x * T(y * K(z,u),w)),u). [hyper(6709,a,7825,a)]. given #9712 (H,wt=27): 10544 K(x \ (y * T(x * K(z,u),w)),u) = K(y * K(x * K(z,u),w),T(u,x)). [para(7078(a,1),10468(a,1,2)),flip(a)]. given #9713 (H,wt=31): 10480 (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = (((x * T(x,y)) \ z) * K(y,x)) \ 1. [para(6544(a,1),10479(a,2,1))]. given #9714 (H,wt=31): 10481 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,(x * (y \ x)) \ 1) * z. [para(8282(a,1),8345(a,2,1))]. given #9715 (H,wt=31): 10498 (((x \ y) * (1 / y)) \ z) * ((1 / u) * w) = ((x \ 1) \ z) * (y * (1 / ((w \ u) * y))). [hyper(227,a,3666,a(flip),b,9463,a)]. given #9716 (H,wt=31): 10522 (x * ((y \ 1) \ 1)) / ((z \ 1) / (1 / y)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [para(1058(a,1),9877(a,1,1,2))]. given #9717 (H,wt=31): 10524 (1 / x) \ (((((1 / x) * y) * y) * (1 / y)) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [para(3876(a,1),9908(a,1,2,1,1))]. given #9718 (H,wt=31): 10546 (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = K(y,x) \ (((x * T(x,y)) \ z) \ 1). [hyper(227,a,123,a(flip),b,10480,a)]. given #9719 (H,wt=31): 10547 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,(y \ x) \ (x \ 1)) * z. [para(123(a,1),10481(a,2,1,2))]. given #9720 (H,wt=29): 10551 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,x \ (y / x)) * z. [para(8339(a,1),10547(a,2,1))]. given #9721 (H,wt=29): 10552 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x * (y \ x),x \ (y / x)) * z. [para(6344(a,1),10551(a,2,1))]. given #9722 (H,wt=31): 10548 (x * ((y \ 1) \ 1)) / (z \ (1 / (1 / y))) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [para(318(a,1),10522(a,1,2))]. given #9723 (H,wt=31): 10549 (1 / x) \ ((y * ((1 / y) * ((1 / x) * y))) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [para(2043(a,1),10524(a,1,2,1))]. given #9724 (H,wt=27): 10554 (1 / x) \ (T(y * (1 / x),y) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [para(2596(a,1),10549(a,1,2,1))]. given #9725 (H,wt=25): 10555 ((x \ 1) \ 1) / (y \ ((x \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). [hyper(1844,a,10554,a),flip(a)]. given #9726 (H,wt=23): 10556 ((x \ 1) \ 1) / (y \ ((x \ z) \ 1)) = x / (y \ ((z \ 1) * x)). [hyper(227,a,2792,a(flip),b,10555,a)]. given #9727 (H,wt=23): 10557 (1 / ((x \ 1) \ 1)) \ ((x \ y) * z) = x / (z \ ((y \ 1) * x)). [hyper(573,a,10556,a)]. given #9728 (H,wt=19): 10558 x / (y \ ((z \ 1) * x)) = (x \ 1) \ ((x \ z) * y). [para(62(a,1),10557(a,1,1)),flip(a)]. given #9729 (H,wt=19): 10561 (x \ 1) \ ((x \ (1 / y)) * z) = x / (z \ (y * x)). [para(65(a,1),10558(a,1,2,2,1)),flip(a)]. given #9730 (H,wt=21): 10559 (x * (y / (1 / z))) * (1 / z) = (z \ 1) \ ((z \ x) * y). [hyper(227,a,2792,a,b,10558,a(flip)),flip(a)]. given #9731 (H,wt=22): 10562 L((x / (y \ (z * x))) \ 1,x,x) = x * ((y / (x \ 1)) \ z). [para(10561(a,1),2863(a,1,1,1))]. given #9732 (H,wt=21): 10564 (x * (x / (y \ (z * x)))) \ x = x * ((y / (x \ 1)) \ z). [hyper(1303,a,10562,a)]. given #9733 (H,wt=17): 10565 x * ((y / (x \ 1)) \ z) = (y \ (z * x)) / x. [hyper(964,a,10564,a),flip(a)]. given #9734 (H,wt=21): 10566 (x \ (y * (1 / z))) / (1 / z) = (1 / z) * ((x / z) \ y). [para(65(a,1),10565(a,1,2,1,2)),flip(a)]. given #9735 (H,wt=22): 10563 (1 / x) \ ((L(x,x,x) \ y) * z) = (x \ 1) \ ((x \ y) * z). [hyper(227,a,2862,a,b,10559,a(flip)),flip(a)]. given #9736 (H,wt=31): 10550 (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [hyper(227,a,6443,a(flip),b,10546,a)]. given #9737 (H,wt=31): 10553 (x * ((y \ 1) \ 1)) / (z \ ((y \ 1) \ 1)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [para(1058(a,1),10548(a,1,2,2))]. given #9738 (H,wt=31): 10570 (K(x,y) / ((x * x) \ (1 / (1 / z)))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [para(1010(a,1),10550(a,1,1,2))]. given #9739 (H,wt=31): 10571 (1 / (x * ((y \ 1) \ 1))) \ ((y \ 1) * z) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [hyper(573,a,10553,a)]. given #9740 (H,wt=31): 10572 (K(x,y) / ((x * x) \ ((z \ 1) \ 1))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [para(1058(a,1),10570(a,1,1,2,2))]. given #9741 (H,wt=29): 10574 (K(x,y) / (x \ ((z \ x) \ 1))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [para(3350(a,1),10572(a,1,1,2))]. given #9742 (H,wt=29): 10575 ((1 / K(x,y)) \ ((z \ x) * x)) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [para(340(a,1),10574(a,1,1))]. given #9743 (H,wt=27): 10576 K(x,y) * (((x * T(x,y)) \ z) \ 1) = K(x,y) * (((z \ x) * x) * K(x,y)). [hyper(674,a,10575,a),flip(a)]. given #9744 (H,wt=25): 10577 K(x,y) * (((x * T(x,y)) \ z) \ 1) = K(x,y) * ((z \ x) * T(x,y)). [para(5918(a,1),10576(a,2,2))]. given #9745 (H,wt=17): 10578 ((x * T(x,y)) \ z) \ 1 = (z \ x) * T(x,y). [hyper(353,a,10577,a),flip(a)]. given #9746 (H,wt=17): 10580 1 / ((x \ y) * T(y,z)) = (y * T(y,z)) \ x. [para(10578(a,1),62(a,1,2))]. given #9747 (H,wt=17): 10581 (x * x) \ (K(y,x) * z) = (x * T(x,y)) \ z. [hyper(227,a,8579,a,b,10580,a(flip)),flip(a)]. given #9748 (H,wt=17): 10582 (1 / x) * (T(x,y) \ z) = (x * T(x,y)) \ z. [hyper(227,a,6426,a(flip),b,10581,a(flip)),flip(a)]. given #9749 (H,wt=27): 10584 ((x \ 1) * T(x \ 1,x * y)) \ z = (1 / (x \ 1)) * ((1 / T(x,y)) \ z). [para(803(a,1),10582(a,1,2,1)),flip(a)]. given #9750 (H,wt=23): 10586 ((x \ 1) * T(x \ 1,x * y)) \ z = x * ((1 / T(x,y)) \ z). [hyper(227,a,133,a(flip),b,10584,a)]. given #9751 (H,wt=21): 10588 ((x \ 1) * (1 / T(x,y))) \ z = x * ((1 / T(x,y)) \ z). [para(803(a,1),10586(a,1,1,2))]. given #9752 (H,wt=19): 10589 (x \ (T(x,y) \ 1)) \ z = x * ((1 / T(x,y)) \ z). [para(1426(a,1),10588(a,1,1))]. given #9753 (H,wt=31): 10573 ((1 / 1) \ ((x \ 1) / y)) \ ((x \ 1) * z) = (y / ((T(z,x) \ 1) * (1 / x))) * (1 / x). [para(341(a,1),10571(a,1,1))]. given #9754 (H,wt=29): 10590 (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (1 \ ((z \ 1) / x)) \ ((z \ 1) * y). [para(59(a,1),10573(a,1,1,1)),flip(a)]. given #9755 (H,wt=29): 10592 (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (1 \ (z \ (1 / x))) \ ((z \ 1) * y). [para(318(a,1),10590(a,2,1,2))]. given #9756 (H,wt=27): 10593 (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (z \ (1 / x)) \ ((z \ 1) * y). [para(50(a,1),10592(a,2,1))]. given #9757 (H,wt=23): 10594 (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (x * z) / (y \ z). [hyper(227,a,9272,a(flip),b,10593,a)]. given #9758 (H,wt=21): 10595 (x / ((1 / y) * (z \ 1))) * (1 / y) = (x * y) / (z \ y). [para(1574(a,1),10594(a,1,1,2))]. given #9759 (H,wt=21): 10596 (x / ((1 / y) * z)) * (1 / y) = (x * y) / ((1 / z) \ y). [para(65(a,1),10595(a,1,1,2,2))]. given #9760 (H,wt=31): 10585 ((x * (y \ 1)) * T(x * (y \ 1),y)) \ z = (1 / (x * (y \ 1))) * (((1 / y) * x) \ z). [para(1335(a,1),10582(a,1,2,1)),flip(a)]. given #9761 (H,wt=27): 10597 ((x * (y \ 1)) * T(x * (y \ 1),y)) \ z = (y / x) * (((1 / y) * x) \ z). [para(263(a,1),10585(a,2,1))]. given #9762 (H,wt=25): 10598 ((x * (y \ 1)) * ((1 / y) * x)) \ z = (y / x) * (((1 / y) * x) \ z). [para(1335(a,1),10597(a,1,1,2))]. given #9763 (H,wt=32): 6646 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6515(a,1),2032(a,1,1,1,2))]. given #9764 (H,wt=21): 10599 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(10061(a,1),6646(a,1,1)),flip(a)]. given #9765 (H,wt=21): 10600 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(5994(a,1),10599(a,1,2,2))]. given #9766 (H,wt=21): 10602 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(227,a,40,a,b,10600,a)]. given #9767 (H,wt=19): 10603 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(6420(a,1),10602(a,1,2))]. given #9768 (H,wt=21): 10604 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(7606(a,2),10603(a,1,2))]. given #9769 (H,wt=32): 6894 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(2128(a,1),6892(a,1,2,2,1)),flip(a)]. given #9770 (H,wt=26): 10605 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(227,a,6896,a(flip),b,6894,a)]. given #9771 (H,wt=24): 10606 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(227,a,6040,a(flip),b,10605,a)]. given #9772 (H,wt=17): 10607 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(227,a,10092,a(flip),b,10606,a(flip))]. given #9773 (H,wt=32): 7881 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(1483(a,1),7738(a,1,2,2)),flip(a)]. given #9774 (H,wt=30): 10609 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(227,a,7886,a(flip),b,7881,a)]. given #9775 (H,wt=28): 10610 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(227,a,10489,a(flip),b,10609,a)]. given #9776 (H,wt=22): 10611 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(160(a,1),10610(a,2,2,2))]. given #9777 (H,wt=20): 10612 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(227,a,8824,a(flip),b,10611,a(flip)),flip(a)]. given #9778 (H,wt=16): 10613 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(13(a,1),10612(a,1,2,2))]. given #9779 (H,wt=19): 10614 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(227,a,7055,a(flip),b,10613,a(flip)),flip(a)]. given #9780 (H,wt=17): 10618 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(227,a,6658,a(flip),b,10614,a)]. given #9781 (H,wt=17): 10619 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(16(a,1),10618(a,1,2,2,1)),flip(a)]. given #9782 (H,wt=19): 10620 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(10619(a,1),4996(a,2,2))]. given #9783 (H,wt=17): 10621 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(227,a,4996,a,b,10620,a)]. given #9784 (H,wt=23): 10622 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(227,a,8002,a(flip),b,10621,a(flip))]. given #9785 (H,wt=21): 10623 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(60(a,1),10622(a,1,2,2))]. given #9786 (H,wt=19): 10624 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(115(a,1),10623(a,1,2)),flip(a)]. given #9787 (H,wt=17): 10625 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(227,a,10607,a(flip),b,10624,a)]. given #9788 (H,wt=17): 10626 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(227,a,7075,a(flip),b,10625,a(flip)),flip(a)]. given #9789 (H,wt=21): 10627 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),10626(a,1,2,1)),flip(a)]. given #9790 (H,wt=20): 10628 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(227,a,9291,a(flip),b,10627,a(flip)),flip(a)]. given #9791 (H,wt=16): 10629 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(227,a,7076,a(flip),b,10628,a)]. given #9792 (H,wt=17): 10630 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(227,a,9196,a(flip),b,10629,a(flip)),flip(a)]. given #9793 (H,wt=15): 10631 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(9023,a,10630,a),flip(a)]. given #9794 (H,wt=17): 10632 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(227,a,9550,a(flip),b,10631,a(flip))]. given #9795 (H,wt=24): 10633 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(10632(a,1),5794(a,1,2))]. given #9796 (H,wt=32): 8312 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8295(a,2),7437(a,2,1))]. given #9797 (H,wt=27): 10634 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8701(a,1),8312(a,1,2))]. given #9798 (H,wt=27): 10635 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7434(a,1),10634(a,1,2))]. given #9799 (H,wt=25): 10637 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8295(a,1),10635(a,2,1))]. given #9800 (H,wt=24): 10638 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(227,a,10329,a(flip),b,10637,a(flip)),flip(a)]. given #9801 (H,wt=24): 10639 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10356,a,10638,a)]. given #9802 (H,wt=22): 10640 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(10303,a,10639,a)]. given #9803 (H,wt=32): 8411 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(1971(a,1),8410(a,1,1))]. given #9804 (H,wt=32): 8684 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(6513(a,1),8134(a,1,2,1))]. given #9805 (H,wt=28): 10642 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(6506(a,1),8684(a,1,2))]. given #9806 (H,wt=24): 10643 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(227,a,7679,a(flip),b,10642,a)]. given #9807 (H,wt=21): 10645 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(9006(a,1),10643(a,1,1))]. given #9808 (H,wt=32): 8686 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(466(a,1),8426(a,2,2))]. given #9809 (H,wt=28): 10646 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,1),8686(a,1,2,1))]. given #9810 (H,wt=23): 10648 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),10646(a,1,2))]. given #9811 (H,wt=20): 10649 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(227,a,7799,a(flip),b,10648,a(flip)),flip(a)]. given #9812 (H,wt=17): 10650 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(227,a,7313,a(flip),b,10649,a)]. given #9813 (H,wt=17): 10653 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),10650(a,2,2,2))]. given #9814 (H,wt=17): 10654 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(16(a,1),10650(a,1,1,2)),flip(a)]. given #9815 (H,wt=16): 10656 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(8777,a,10654,a),flip(a)]. given #9816 (H,wt=28): 10657 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(227,a,5681,a(flip),b,10656,a(flip)),flip(a)]. given #9817 (H,wt=25): 10658 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(227,a,9028,a(flip),b,10657,a)]. given #9818 (H,wt=26): 10660 K(R(L(x,y,x),z,u),w \ L(x,y,x)) != v5 | K(R(x,z,u),w \ x) = v5. [para(10658(a,2),8741(a,1))]. given #9819 (H,wt=29): 10655 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(2530(a,1),10653(a,1,1,2))]. given #9820 (H,wt=24): 10661 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(6056,a,10655,a)]. given #9821 (H,wt=22): 10663 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(227,a,10478,a(flip),b,10661,a(flip))]. given #9822 (H,wt=32): 8939 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(7114(a,1),8927(a,1,2))]. given #9823 (H,wt=24): 10664 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(9726(a,1),8939(a,1,1)),flip(a)]. given #9824 (H,wt=18): 10665 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(9515,a,10664,a),flip(a)]. given #9825 (H,wt=18): 10667 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(6700,a,10665,a)]. given #9826 (H,wt=22): 10670 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(9600(a,1),10667(a,1,1))]. given #9827 (H,wt=20): 10671 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7535(a,1),10670(a,1,2))]. given #9828 (H,wt=13): 10672 a(x,y / z,x) = a(x,z \ y,x). [hyper(8934,a,10671,a)]. given #9829 (H,wt=13): 10675 a(x,(y \ z) \ z,x) = a(x,y,x). [para(62(a,1),10672(a,1,2)),flip(a)]. given #9830 (H,wt=11): 10677 a(x,T(y,z),x) = a(x,y,x). [para(1962(a,2),10675(a,1,2))]. given #9831 (H,wt=15): 10674 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(227,a,10042,a(flip),b,10672,a)]. given #9832 (H,wt=19): 10679 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(180(a,1),10677(a,1,2)),flip(a)]. given #9833 (H,wt=20): 10676 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(110(a,2),10672(a,1,2))]. given #9834 (H,wt=20): 10680 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(227,a,10679,a(flip),b,10676,a(flip)),flip(a)]. given #9835 (H,wt=24): 10668 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(38(a,1),10667(a,1,2,2))]. given #9836 (H,wt=26): 10681 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(10680(a,2),10237(a,1,2,1)),flip(a)]. given #9837 (H,wt=27): 10682 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(10668(a,1),20(a,1))]. given #9838 (H,wt=32): 9051 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6880(a,1),9050(a,1,2))]. given #9839 (H,wt=32): 9299 (1 / x) \ L(((y * (1 / x)) \ 1) \ (x * z),y * (1 / x),y * (1 / x)) = (x * y) * z. [hyper(72,a,1387,a,b,9298,a(flip))]. given #9840 (H,wt=32): 9305 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(73,a,9084,a(flip),b,109,a)]. given #9841 (H,wt=32): 9306 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(4624,a,9085,a),flip(a)]. given #9842 (H,wt=20): 10686 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(9135(a,1),9306(a,1,2)),flip(a)]. given #9843 (H,wt=15): 10687 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(227,a,28,a,b,10686,a)]. given #9844 (H,wt=13): 10689 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1047(a,1),10687(a,1,2)),flip(a)]. given #9845 (H,wt=13): 10690 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1051(a,1),10687(a,1,2)),flip(a)]. given #9846 (H,wt=13): 10691 L(x,1 / y,z) = L(x,y \ 1,z). [para(2167(a,1),10687(a,1,2)),flip(a)]. given #9847 (H,wt=15): 10692 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(3099(a,2),10687(a,1,2))]. given #9848 (H,wt=17): 10693 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(3566(a,1),10687(a,1,2)),flip(a)]. given #9849 (H,wt=17): 10700 L(x,K(y \ z,z \ y) * u,w) = L(x,u,w). [para(3444(a,1),10692(a,1,2,1))]. given #9850 (H,wt=21): 10694 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(8116(a,1),10687(a,1,2))]. given #9851 (H,wt=21): 10696 L(x,((y \ 1) \ 1) \ z,u) = L(x,((z \ 1) * y) \ 1,u). [para(1078(a,1),10691(a,1,2))]. given #9852 (H,wt=21): 10697 L(x,(y * (z \ y)) \ 1,u) = L(x,(y \ z) * (1 / y),u). [para(1432(a,1),10691(a,1,2)),flip(a)]. given #9853 (H,wt=21): 10698 L(x,1 / ((y / z) \ z),u) = L(x,z \ (1 / (z / y)),u). [para(3436(a,1),10691(a,2,2))]. given #9854 (H,wt=21): 10703 L(x,K(y \ z,z \ y) * u,w) = v5 * (v5 \ L(x,u,w)). [hyper(227,a,14,a,b,10700,a)]. given #9855 (H,wt=20): 10707 L(x,K(y \ z,z \ y) * u,w) != v5 | L(x,u,w) = v5. [para(10703(a,2),154(a,1))]. given #9856 (H,wt=18): 10708 L(x,K(y,y \ 1) * z,u) != w | L(x,z,u) = w. [para(50(a,1),10707(a,1,2,1,1))]. given #9857 (H,wt=16): 10709 L(x,(y \ 1) \ 1,z) != u | L(x,y,z) = u. [para(2266(a,1),10708(a,1,2))]. given #9858 (H,wt=16): 10710 L(x,1 / y,z) != u | L(x,y \ 1,z) = u. [para(2275(a,1),10708(a,1,2))]. given #9859 (H,wt=21): 10704 L(x,((y \ 1) \ 1) \ z,u) = L(x,y \ ((z \ 1) \ 1),u). [para(123(a,1),10696(a,2,2))]. given #9860 (H,wt=21): 10705 L(x,(y \ z) \ (z \ 1),u) = L(x,(z \ y) * (1 / z),u). [para(123(a,1),10697(a,1,2))]. given #9861 (H,wt=21): 10706 L(x,y \ (1 / (y / z)),u) = L(x,(1 / y) * (z / y),u). [para(313(a,1),10698(a,1,2)),flip(a)]. given #9862 (H,wt=19): 10713 L(x,y \ (1 / (y / z)),u) = L(x,(y \ z) / y,u). [para(637(a,1),10706(a,2,2))]. given #9863 (H,wt=21): 10712 L(x,(1 / y) \ ((z \ 1) \ 1),u) = L(x,(y \ 1) \ z,u). [para(65(a,1),10704(a,1,2,1,1)),flip(a)]. given #9864 (H,wt=17): 10714 L(x,y / (1 / z),u) = L(x,(y \ 1) \ z,u). [para(1066(a,1),10712(a,1,2))]. given #9865 (H,wt=22): 10695 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(10690(a,1),100(a,1,2))]. given #9866 (H,wt=23): 10701 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(8214(a,1),10692(a,1,2))]. given #9867 (H,wt=23): 10715 L(x,T(y,(1 / z) \ y),u) = L(x,(((1 / z) * y) \ 1) \ z,u). [para(2499(a,2),10714(a,1,2))]. given #9868 (H,wt=21): 10717 L(x,T(y,y * z),u) = L(x,(((1 / z) * y) \ 1) \ z,u). [para(1959(a,1),10715(a,1,2))]. given #9869 (H,wt=17): 10718 L(x,T(y,y * z),u) = L(x,(y \ z) \ z,u). [para(250(a,1),10717(a,2,2,1))]. given #9870 (H,wt=25): 10711 (x / y) \ L(x * (y \ z),y,y) != u | L(z,y \ 1,L(x,y,y)) = u. [para(9555(a,2),10710(a,1))]. given #9871 (H,wt=25): 10716 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(10695(a,1),19(a,1)),flip(a)]. given #9872 (H,wt=27): 10702 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(5289(a,1),10693(a,1,2,2)),flip(a)]. given #9873 (H,wt=25): 10719 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6243(a,1),10702(a,1,2,2)),flip(a)]. given #9874 (H,wt=31): 10699 L(L(x,y \ 1,L(z,y,y)),z / y,K(L(z,y,y),u)) = L(x,1 / y,T(L(z,y,y),u)). [para(10691(a,1),9683(a,1,1))]. given #9875 (H,wt=32): 9608 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9533(a,1),7432(a,2,2))]. given #9876 (H,wt=30): 10720 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(5983(a,1),9608(a,1,2))]. given #9877 (H,wt=30): 10721 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(227,a,8603,a(flip),b,10720,a(flip)),flip(a)]. given #9878 (H,wt=32): 9647 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9646(a,2),172(a,1,2,2))]. given #9879 (H,wt=28): 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),9647(a,1,2))]. given #9880 (H,wt=28): 10723 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9612,a,10722,a)]. given #9881 (H,wt=28): 10724 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(9915,a,10723,a)]. given #9882 (H,wt=24): 10725 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),10724(a,1,2,1)),flip(a)]. given #9883 (H,wt=19): 10726 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(227,a,8173,a(flip),b,10725,a)]. given #9884 (H,wt=23): 10727 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(160(a,1),10726(a,1,2)),flip(a)]. given #9885 (H,wt=12): 10728 L(K(x,y),z,y * x) = K(x,y). [hyper(227,a,9694,a(flip),b,10727,a(flip))]. given #9886 (H,wt=15): 10729 L(K(x,y),z,y * x) = K(x,L(y,x,u)). [hyper(227,a,9694,a,b,10728,a)]. given #9887 (H,wt=13): 10733 K(x,L(y,x,z)) != u | K(x,y) = u. [para(10729(a,1),360(a,1)),flip(b)]. given #9888 (H,wt=15): 10734 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10729(a,2),7312(a,1))]. given #9889 (H,wt=18): 10735 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(7316(a,1),10733(a,1))]. given #9890 (H,wt=19): 10730 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10728(a,1),10035(a,1,1))]. given #9891 (H,wt=19): 10736 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7316(a,2),10735(a,1))]. given #9892 (H,wt=22): 10739 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10730(a,2),240(a,1,2))]. given #9893 (H,wt=17): 10741 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(5073,a,10739,a),flip(a)]. given #9894 (H,wt=20): 10742 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10739(a,1),5073(a,1))]. given #9895 (H,wt=21): 10743 L(L(x,y,z),K(y,z),z * y) != u | L(x,T(y,z),z) = u. [para(10741(a,2),9070(a,1))]. given #9896 (H,wt=24): 10737 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),x * (u \ w)) = v5. [para(7379(a,1),10735(a,1))]. given #9897 (H,wt=24): 10744 K(L(x,y,z),u \ (x * w)) != v5 | K(L(x,y,z),x * (u \ w)) = v5. [para(9542(a,1),10737(a,1))]. given #9898 (H,wt=28): 10738 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(9921(a,2),10735(a,1))]. given #9899 (H,wt=32): 9648 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9646(a,2),471(a,2,2))]. given #9900 (H,wt=26): 10745 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10726(a,1),9648(a,1,2))]. given #9901 (H,wt=19): 10747 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(7814,a,10745,a),flip(a)]. given #9902 (H,wt=15): 10749 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(73,a,10747,a(flip),b,113,a(flip))]. given #9903 (H,wt=15): 10750 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(409,a,10749,a),flip(a)]. given #9904 (H,wt=18): 10753 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(10750(a,1),7001(a,1,1))]. given #9905 (H,wt=18): 10754 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10750(a,1),7058(a,1,2))]. given #9906 (H,wt=18): 10755 K(x,y / (x * z)) != u | K(x,y / (z * x)) = u. [para(10750(a,1),7061(a,1,2))]. given #9907 (H,wt=19): 10752 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(10750(a,1),6090(a,1,1)),flip(a)]. given #9908 (H,wt=19): 10757 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [hyper(5176,a,10752,a)]. given #9909 (H,wt=24): 10758 ((x / (y * z)) * y) * z != u | ((x / (z * y)) * y) * T(z,y) = u. [para(10757(a,1),6281(a,1,1))]. given #9910 (H,wt=32): 9832 L(x,(y \ z) \ (z \ 1),(z \ y) * (1 / z)) != u | L(x,z * (y \ z),z * (y \ z)) = u. [para(4584(a,1),9818(a,1))]. given #9911 (H,wt=32): 10170 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(227,a,175,a(flip),b,10169,a)]. given #9912 (H,wt=25): 10760 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(113(a,1),10170(a,1,1))]. given #9913 (H,wt=32): 10427 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10426(a,1),8400(a,2,1))]. given #9914 (H,wt=30): 10761 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10422(a,1),10427(a,1,2,1))]. given #9915 (H,wt=32): 10641 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(6709,a,8411,a),flip(a)]. given #9916 (H,wt=27): 10764 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(227,a,9500,a(flip),b,10641,a)]. given #9917 (H,wt=25): 10766 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(227,a,7532,a(flip),b,10764,a)]. given #9918 (H,wt=32): 10684 (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * (1 / x),y * (1 / x)) = (x * y) * z. [para(123(a,1),9299(a,1,2,1,1))]. given #9919 (H,wt=32): 10685 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(4575(a,1),9305(a,1,2))]. given #9920 (H,wt=32): 10759 L(x,(y \ z) * (1 / y),(y \ z) * (1 / y)) != u | L(x,y * (z \ y),y * (z \ y)) = u. [para(10705(a,1),9832(a,1))]. given #9921 (H,wt=32): 10767 (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * (1 / x),y * (x \ 1)) = (x * y) * z. [para(4922(a,1),10684(a,1,2))]. given #9922 (H,wt=32): 10768 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(227,a,9139,a(flip),b,10685,a(flip)),flip(a)]. given #9923 (H,wt=27): 10769 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(4661(a,1),10768(a,1,2))]. given #9924 (H,wt=15): 10770 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(4666,a,10769,a),flip(a)]. given #9925 (H,wt=13): 10772 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1047(a,1),10770(a,1,2)),flip(a)]. given #9926 (H,wt=13): 10773 R(x,1 / y,z) = R(x,y \ 1,z). [para(2167(a,1),10770(a,1,2)),flip(a)]. given #9927 (H,wt=21): 10776 R(x,1 / y,(y \ 1) \ (1 / z)) = R(x,y \ 1,y / z). [hyper(227,a,9293,a,b,10773,a(flip)),flip(a)]. given #9928 (H,wt=22): 10774 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10772(a,1),109(a,1,1))]. given #9929 (H,wt=23): 10778 R(L(x,y,y),y \ 1,y / z) = ((y / z) \ (y * (1 / x))) \ z. [hyper(227,a,9945,a(flip),b,10776,a(flip))]. given #9930 (H,wt=23): 10780 L(R(x,y \ 1,y / z),y,y) = ((y / z) \ (y * (1 / x))) \ z. [hyper(227,a,44,a(flip),b,10778,a(flip)),flip(a)]. given #9931 (H,wt=24): 10777 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10773(a,1),4440(a,1,2))]. given #9932 (H,wt=24): 10781 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(3736(a,1),10777(a,1,2,1))]. given #9933 (H,wt=25): 10779 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10774(a,1),20(a,1))]. given #9934 (H,wt=26): 10782 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(2471(a,1),10781(a,1,2,1)),flip(a)]. given #9935 (H,wt=33): 6343 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(x * (y * (z \ 1))) \ 1). [hyper(2260,a,5883,a)]. given #9936 (H,wt=33): 6473 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(6443(a,1),4647(a,1,1))]. given #9937 (H,wt=33): 6722 (x * y) * ((1 / (x * y)) * (K(z,z \ 1) * 1)) = (z * (1 / ((x * y) * z))) \ (y \ (x \ 1)). [para(6479(a,1),3680(a,1,2,2))]. given #9938 (H,wt=31): 10784 (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) = (y * z) * ((1 / (y * z)) * K(x,x \ 1)). [para(12(a,1),6722(a,1,2,2)),flip(a)]. given #9939 (H,wt=29): 10785 (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) = (y * z) * (x * (1 / ((y * z) * x))). [para(3665(a,1),10784(a,2,2))]. given #9940 (H,wt=30): 10786 (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) != u | K(x \ (y * z),(y * z) \ x) = u. [para(10785(a,2),8598(a,1))]. given #9941 (H,wt=33): 8309 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(3284(a,1),8286(a,1,1)),flip(a)]. given #9942 (H,wt=31): 10787 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(50(a,1),8309(a,2,1,2,2,1,2))]. given #9943 (H,wt=29): 10788 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),10787(a,2,1,2))]. given #9944 (H,wt=30): 10789 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(10788(a,2),7649(a,1))]. given #9945 (H,wt=33): 8509 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(5923(a,2),7800(a,2,2,2)),flip(a)]. given #9946 (H,wt=28): 10790 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(227,a,10160,a(flip),b,8509,a)]. given #9947 (H,wt=26): 10792 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(227,a,5934,a(flip),b,10790,a)]. given #9948 (H,wt=24): 10793 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5923(a,1),10792(a,1,2,2))]. given #9949 (H,wt=24): 10794 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(10744,a,10793,a)]. given #9950 (H,wt=33): 8932 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(8918(a,2),1158(a,1,2,2,2))]. given #9951 (H,wt=33): 9228 ((1 / x) \ (1 / y)) * K(z * u,(z * u) \ 1) = x / ((1 / (y * (z * u))) \ (u \ (z \ 1))). [hyper(227,a,760,a,b,9156,a)]. given #9952 (H,wt=29): 10795 x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(z * u,(z * u) \ 1). [para(339(a,1),9228(a,1,1)),flip(a)]. given #9953 (H,wt=29): 10796 x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(z * u,u \ (z \ 1)). [para(123(a,1),10795(a,2,2,2))]. given #9954 (H,wt=27): 10797 x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(u \ z,z \ u). [para(8370(a,1),10796(a,2,2))]. given #9955 (H,wt=27): 10798 x / ((y * z) \ (((z \ (y \ 1)) \ 1) * u)) = (x / u) * K(z \ y,y \ z). [para(4094(a,1),10797(a,1,2))]. given #9956 (H,wt=27): 10799 x / ((1 / (y * z)) * ((z \ (y \ 1)) \ u)) = (x / u) * K(z \ y,y \ z). [para(3496(a,1),10798(a,1,2))]. given #9957 (H,wt=23): 10800 x / (K(y \ z,z \ y) * u) = (x / u) * K(y \ z,z \ y). [para(9071(a,1),10799(a,1,2))]. given #9958 (H,wt=33): 9534 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(227,a,7407,a,b,7587,a),flip(a)]. given #9959 (H,wt=33): 9842 L(x,y \ (z \ 1),y \ (z \ 1)) != (y \ (z \ 1)) * u | T(x * (z * y),y \ (z \ 1)) = u. [para(9837(a,2),167(a,2)),flip(a)]. given #9960 (H,wt=33): 9878 (x * (1 / (y \ 1))) / (L(y \ 1,z,u) / (y \ 1)) = (x / (y \ L(1 / y,z,u))) * (y \ 1). [para(1738(a,1),9873(a,2,1,2))]. given #9961 (H,wt=29): 10801 (x * y) / (L(y \ 1,z,u) / (y \ 1)) = (x / (y \ L(1 / y,z,u))) * (y \ 1). [para(62(a,1),9878(a,1,1,2))]. given #9962 (H,wt=27): 10802 (x / (y \ L(1 / y,z,u))) * (y \ 1) = (x * y) / (y * L(y \ 1,z,u)). [para(687(a,1),10801(a,1,2)),flip(a)]. given #9963 (H,wt=33): 10017 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(8655(a,1),9024(a,1,1))]. given #9964 (H,wt=28): 10803 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9560,a,10017,a),flip(a)]. given #9965 (H,wt=24): 10804 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(5439,a,10803,a)]. given #9966 (H,wt=24): 10805 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9910,a,10804,a)]. given #9967 (H,wt=21): 10806 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(419(a,1),10805(a,1,2,1,2))]. given #9968 (H,wt=19): 10807 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(227,a,9934,a(flip),b,10806,a(flip))]. given #9969 (H,wt=19): 10808 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(227,a,7376,a(flip),b,10807,a)]. given #9970 (H,wt=19): 10812 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(7923,a,10808,a)]. given #9971 (H,wt=24): 10809 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(227,a,8162,a,b,10807,a(flip)),flip(a)]. given #9972 (H,wt=25): 10810 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10807(a,1),7953(a,1,2,2))]. given #9973 (H,wt=19): 10813 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5316,a,10810,a),flip(a)]. given #9974 (H,wt=19): 10814 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9393,a,10813,a)]. given #9975 (H,wt=19): 10815 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(227,a,7242,a(flip),b,10814,a)]. given #9976 (H,wt=28): 10811 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10807(a,1),8160(a,1,1))]. given #9977 (H,wt=23): 10818 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(227,a,10809,a(flip),b,10811,a(flip))]. given #9978 (H,wt=31): 10819 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(227,a,8099,a(flip),b,10818,a(flip)),flip(a)]. given #9979 (H,wt=27): 10820 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(6832,a,10819,a),flip(a)]. given #9980 (H,wt=25): 10821 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(227,a,8715,a(flip),b,10820,a)]. given #9981 (H,wt=25): 10822 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10821(a,1,2,1)),flip(a)]. given #9982 (H,wt=19): 10823 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [para(1195(a,1),10822(a,1,2)),flip(a)]. given #9983 (H,wt=15): 10824 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5237,a,10823,a),flip(a)]. given #9984 (H,wt=19): 10825 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10824(a,1),6454(a,1,1,2))]. given #9985 (H,wt=15): 10826 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6517,a,10825,a),flip(a)]. given #9986 (H,wt=15): 10827 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),10826(a,1,1,2)),flip(a)]. given #9987 (H,wt=19): 10828 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10827(a,1),9652(a,1,2))]. given #9988 (H,wt=15): 10829 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),10828(a,1,2,1))]. given #9989 (H,wt=18): 10833 K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. [para(10829(a,1),7058(a,1,2))]. given #9990 (H,wt=20): 10831 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(142(a,1),10829(a,1,1)),flip(a)]. given #9991 (H,wt=18): 10834 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(227,a,5918,a(flip),b,10831,a)]. given #9992 (H,wt=18): 10835 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(10834(a,1),62(a,1,2)),flip(a)]. given #9993 (H,wt=32): 10817 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10815(a,1),5454(a,1,1,1,2))]. given #9994 (H,wt=25): 10836 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6705,a,10817,a),flip(a)]. given #9995 (H,wt=28): 10837 K(L(x,y,z),(u * (x \ w)) \ v5) != v6 | K(L(x,y,z),x * ((u * w) \ v5)) = v6. [para(10817(a,1),6705(a,1))]. given #9996 (H,wt=33): 10347 L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,(z \ 1) / (z / (w \ (u \ z)))). [para(10342(a,1),4926(a,1,3,2)),flip(a)]. given #9997 (H,wt=33): 10567 (x / (((1 / y) \ 1) * (z / (1 / y)))) / (1 / y) = (1 / y) * (((1 / x) / y) \ ((1 / y) / z)). [para(2100(a,2),10566(a,1,1))]. given #9998 (H,wt=29): 10839 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (y / (x * (z / (1 / x)))) / (1 / x). [para(65(a,1),10567(a,1,1,2,1)),flip(a)]. given #9999 (H,wt=29): 10840 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (x * (1 / y)) \ (x / (z / (1 / x))). [hyper(227,a,9865,a(flip),b,10839,a)]. given #10000 (H,wt=29): 10842 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (x * (1 / y)) \ (x * (1 / (z * x))). [para(1140(a,1),10840(a,2,2))]. given #10001 (H,wt=25): 10843 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = ((1 / y) \ (1 / x)) / z. [hyper(227,a,9268,a(flip),b,10842,a)]. given #10002 (H,wt=21): 10844 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (y / x) / z. [para(339(a,1),10843(a,2,1))]. given #10003 (H,wt=21): 10845 (1 / x) * ((1 / (x * y)) \ ((1 / x) / z)) = (y / x) / z. [para(325(a,1),10844(a,1,2,1))]. given #10004 (H,wt=21): 10846 (1 / x) * ((1 / (x * y)) \ (1 / (z * x))) = (y / x) / z. [para(325(a,1),10845(a,1,2,2))]. given #10005 (H,wt=17): 10847 (1 / x) * ((x * y) / (z * x)) = (y / x) / z. [para(339(a,1),10846(a,1,2))]. given #10006 (H,wt=14): 10848 L(x,y,z) / (z * y) = (x / y) / z. [hyper(227,a,2669,a,b,10847,a(flip)),flip(a)]. given #10007 (H,wt=14): 10850 L(x,y,z) = ((x / y) / z) * (z * y). [para(10848(a,1),16(a,1,1)),flip(a)]. given #10008 (H,wt=17): 10851 ((x / y) / z) * (z * y) != u | L(x,y,z) = u. [para(10848(a,1),207(a,1,1)),flip(b)]. given #10009 (H,wt=17): 10852 L(x,y,z) / (z * y) != u | (x / y) / z = u. [para(10850(a,2),293(a,1,1)),flip(b)]. given #10010 (H,wt=33): 10568 (K(x,y) \ (z * (1 / (1 / u)))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(y,x)) \ 1) \ z). [para(6495(a,1),10566(a,2,2,1))]. given #10011 (H,wt=33): 10583 (1 / x) * (T(x,y) \ ((T(x,y) \ (x \ 1)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). [hyper(227,a,3374,a(flip),b,10582,a)]. given #10012 (H,wt=33): 10783 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(y * (z \ 1)) \ (x \ 1)). [hyper(227,a,8154,a(flip),b,6343,a)]. given #10013 (H,wt=31): 10855 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(z / y) * (x \ 1)). [hyper(227,a,6106,a(flip),b,10783,a)]. given #10014 (H,wt=29): 10856 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(z / y) / x). [hyper(227,a,6024,a(flip),b,10855,a)]. given #10015 (H,wt=29): 10857 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K((z / y) \ x,x \ (z / y)). [hyper(227,a,4268,a(flip),b,10856,a)]. given #10016 (H,wt=25): 10858 (x * (y * (z \ 1))) * ((z / y) / x) = K((z / y) \ x,x \ (z / y)). [para(327(a,1),10857(a,1,2))]. given #10017 (H,wt=33): 10838 L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,z \ (1 / (z / (w \ (u \ z))))). [para(318(a,1),10347(a,2,3))]. given #10018 (H,wt=33): 10853 (K(x,y) \ (z * ((u \ 1) \ 1))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(y,x)) \ 1) \ z). [para(1058(a,1),10568(a,1,1,2,2))]. given #10019 (H,wt=33): 10854 (1 / x) * (T(x,y) \ ((x \ (T(x,y) \ 1)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). [para(1934(a,1),10583(a,1,2,2,1))]. given #10020 (H,wt=33): 10859 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ (1 / x),(1 / x) \ (y / z)). [hyper(227,a,4393,a(flip),b,10858,a(flip)),flip(a)]. given #10021 (H,wt=31): 10863 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ (1 / x),x * (y / z)). [hyper(227,a,8320,a(flip),b,10859,a)]. given #10022 (H,wt=31): 10864 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K(x * (y / z),(x * (y / z)) \ 1). [hyper(227,a,8282,a(flip),b,10863,a)]. given #10023 (H,wt=31): 10865 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K(x * (y / z),(y / z) \ (x \ 1)). [hyper(227,a,8154,a(flip),b,10864,a)]. given #10024 (H,wt=29): 10866 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ x,x \ (y / z)). [hyper(227,a,8370,a(flip),b,10865,a)]. given #10025 (H,wt=27): 10867 ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) \ z,z \ (x / y)). [hyper(227,a,4372,a(flip),b,10866,a(flip)),flip(a)]. given #10026 (H,wt=25): 10868 K((x / y) * z,z \ (y * (x \ 1))) = K((x / y) \ z,z \ (x / y)). [hyper(227,a,10430,a(flip),b,10867,a(flip)),flip(a)]. given #10027 (H,wt=33): 10860 L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,z \ (z * ((z \ (1 / w)) / u))). [para(10353(a,1),10838(a,2,3,2))]. given #10028 (H,wt=29): 10869 L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,(z \ (1 / w)) / u). [para(13(a,1),10860(a,2,3))]. given #10029 (H,wt=25): 10871 L(x,y,(z \ 1) * ((u \ (w \ z)) / z)) = L(x,y,(z \ (1 / u)) / w). [para(10350(a,1),10869(a,1,3,2))]. given #10030 (H,wt=21): 10872 L(x,y,(z \ (1 / u)) / w) = L(x,y,(u * z) \ (w \ 1)). [para(1805(a,1),10871(a,1,3)),flip(a)]. given #10031 (H,wt=33): 10861 (K(x,y) * (z * ((u \ 1) \ 1))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(x,y)) \ 1) \ z). [para(6443(a,1),10853(a,1,1))]. given #10032 (H,wt=33): 10862 (1 / x) * (T(x,y) \ (x * ((1 / T(x,y)) \ z))) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). [para(10589(a,1),10854(a,1,2,2))]. given #10033 (H,wt=31): 10874 (1 / x) * (K(y,x) * ((1 / T(x,y)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). [para(6424(a,1),10862(a,1,2))]. given #10034 (H,wt=25): 10875 (x * T(x,y)) * ((1 / (x * T(x,y))) * z) = (1 / x) * ((1 / x) \ z). [para(8541(a,1),10874(a,1,2)),flip(a)]. given #10035 (H,wt=17): 10876 (x * T(x,y)) * ((1 / (x * T(x,y))) * z) = z. [hyper(227,a,14,a(flip),b,10875,a)]. given #10036 (H,wt=17): 10880 (x * (y * T(y,z))) \ x = y \ (T(y,z) \ 1). [hyper(72,a,10876,a(flip),b,9954,a)]. given #10037 (H,wt=17): 10881 x \ (x / (y * T(y,z))) = y \ (T(y,z) \ 1). [hyper(5716,a,10880,a)]. given #10038 (H,wt=17): 10882 (x \ (T(x,y) \ 1)) * z = (x * T(x,y)) \ z. [para(10880(a,1),950(a,1,1))]. given #10039 (H,wt=17): 10883 x * (y \ (T(y,z) \ 1)) = x / (y * T(y,z)). [para(10881(a,1),14(a,1,2))]. given #10040 (H,wt=17): 10885 x * (y \ (y \ K(z,y))) = x / (y * T(y,z)). [para(4963(a,1),10883(a,1,2,2))]. given #10041 (H,wt=23): 10884 ((x / y) * T(x / y,y)) \ z = ((x / y) \ ((y \ x) \ 1)) * z. [para(115(a,1),10882(a,1,1,2,1)),flip(a)]. given #10042 (H,wt=21): 10887 ((x / y) \ ((y \ x) \ 1)) * z = ((x / y) * (y \ x)) \ z. [para(115(a,1),10884(a,1,1,2)),flip(a)]. given #10043 (H,wt=24): 10877 (x * T(x,y)) * ((1 / (x * T(x,y))) * z) != u * w | u \ z = w. [para(10875(a,2),392(a,1))]. given #10044 (H,wt=25): 10886 x * ((y / z) \ ((y / z) \ K(z,y / z))) = x / ((y / z) * (z \ y)). [para(115(a,1),10885(a,2,2,2))]. given #10045 (H,wt=25): 10888 x * ((y / z) \ ((y / z) \ K(z,z \ y))) = x / ((y / z) * (z \ y)). [para(5085(a,1),10886(a,1,2,2,2))]. given #10046 (H,wt=21): 10889 x * ((y / z) \ ((z \ y) \ 1)) = x / ((y / z) * (z \ y)). [para(5271(a,1),10888(a,1,2,2))]. given #10047 (H,wt=33): 10873 (1 / (K(x,y) * (z * ((u \ 1) \ 1)))) \ (u \ 1) = (1 / (1 / u)) * (((u \ K(x,y)) \ 1) \ z). [hyper(1075,a,10861,a)]. given #10048 (H,wt=33): 10890 ((1 / 1) \ (((x \ 1) / y) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). [para(759(a,1),10873(a,1,1))]. given #10049 (H,wt=31): 10891 (1 \ (((x \ 1) / y) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). [para(59(a,1),10890(a,1,1,1))]. given #10050 (H,wt=31): 10893 (1 \ ((x \ (1 / y)) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). [para(318(a,1),10891(a,1,1,2,1))]. given #10051 (H,wt=31): 10894 (1 \ ((x \ (1 / y)) * K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(u,z)) \ 1) \ y). [para(6497(a,1),10893(a,1,1,2))]. given #10052 (H,wt=29): 10895 (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = ((x \ (1 / u)) * K(z,y)) \ (x \ 1). [para(50(a,1),10894(a,1,1)),flip(a)]. given #10053 (H,wt=29): 10896 (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ ((1 / u) \ 1)). [hyper(227,a,8892,a(flip),b,10895,a)]. given #10054 (H,wt=25): 10897 (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ u). [para(65(a,1),10896(a,2,2,2))]. given #10055 (H,wt=25): 10898 ((x \ 1) \ 1) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ u). [para(1058(a,1),10897(a,1,1))]. given #10056 (H,wt=21): 10899 x * (((K(y,z) \ 1) * x) \ u) = (K(y,z) * x) * (x \ u). [hyper(227,a,9956,a(flip),b,10898,a(flip)),flip(a)]. given #10057 (H,wt=19): 10900 (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). [para(5084(a,1),10899(a,1,2,1,1)),flip(a)]. given #10058 (H,wt=33): 10901 (1 / x) * ((K(y,z) * (1 / x)) \ (K(u,w) * v5)) = (K(z,y) * (1 / x)) * (x / (v5 \ K(w,u))). [para(5112(a,1),10900(a,1,2)),flip(a)]. given #10059 (H,wt=31): 10902 (1 / x) * ((K(y,z) * (1 / x)) \ (K(u,w) * v5)) = (K(z,y) / x) * (x / (v5 \ K(w,u))). [para(6452(a,1),10901(a,2,1))]. given #10060 (H,wt=27): 10903 (K(x,y) * ((K(z,u) * w) / v5)) * v5 = (K(x,y) / v5) * (v5 / (w \ K(u,z))). [hyper(227,a,6472,a(flip),b,10902,a(flip)),flip(a)]. given #10061 (H,wt=34): 5736 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(4680(a,1),215(a,1))]. given #10062 (H,wt=34): 6807 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6795(a,1),101(a,1,2,2,1))]. given #10063 (H,wt=34): 8100 K(x,(y * (z * (u / x))) \ (z * (x \ u))) != w | K(x,(z * (u / x)) \ (y \ (z * (u / x)))) = w. [para(8087(a,1),6323(a,1))]. given #10064 (H,wt=34): 8742 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) != v6 | K(R(L(x,u,w),y,z),v5 \ L(x,u,w)) = v6. [para(44(a,1),8741(a,1,1))]. given #10065 (H,wt=34): 9176 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(9137(a,2),24(a,2,2,1)),flip(a)]. given #10066 (H,wt=34): 9285 (T(x,y) * (1 / ((z * u) * x))) \ (K(x * y,x \ 1) / u) = R(z,u,K(x * y,x \ 1) \ 1). [para(9283(a,1),1834(a,1,1))]. given #10067 (H,wt=34): 9309 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(825,a,9171,a),flip(a)]. given #10068 (H,wt=34): 10315 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(726(a,1),10276(a,2,2))]. given #10069 (H,wt=30): 10907 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9737(a,1),10315(a,2,2,1))]. given #10070 (H,wt=28): 10909 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(10260(a,1),10907(a,2,2))]. given #10071 (H,wt=24): 10910 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(227,a,13,a(flip),b,10909,a)]. given #10072 (H,wt=17): 10911 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(5852,a,10910,a),flip(a)]. given #10073 (H,wt=34): 10762 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(6421(a,1),10761(a,1,2))]. given #10074 (H,wt=34): 10904 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4558(a,1),9176(a,1,1,2))]. given #10075 (H,wt=34): 10905 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x * y,x \ 1) \ 1). [para(9283(a,1),9285(a,1,2))]. given #10076 (H,wt=34): 10906 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(9137(a,2),9309(a,1,1,1,2))]. given #10077 (H,wt=34): 10913 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(6429,a,10762,a)]. given #10078 (H,wt=34): 10914 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(4558(a,1),10904(a,1,2))]. given #10079 (H,wt=34): 10915 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,(x * y) \ 1) * 1). [para(6479(a,1),10905(a,2,3))]. given #10080 (H,wt=34): 10916 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(9182(a,1),10906(a,1,1))]. given #10081 (H,wt=27): 10920 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(24(a,2),10916(a,1,1,1))]. given #10082 (H,wt=15): 10921 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6499,a,10920,a)]. given #10083 (H,wt=13): 10925 a(x,y,1 / z) = a(x,y,z \ 1). [para(2275(a,1),10921(a,1,3))]. given #10084 (H,wt=17): 10927 a(x,y,(z \ u) \ 1) = a(x,y,(1 / u) * z). [para(313(a,1),10925(a,1,3)),flip(a)]. given #10085 (H,wt=18): 10922 a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. [para(10920(a,1),3756(a,1)),flip(b)]. given #10086 (H,wt=20): 10928 a(x,y,(1 / z) * u) != w | a(x,y,(z \ 1) * u) = w. [para(3722(a,1),10922(a,1,3))]. given #10087 (H,wt=20): 10929 a(x,y,(z \ u) \ 1) != w | a(x,y,(u \ 1) * z) = w. [para(10927(a,2),10928(a,1))]. given #10088 (H,wt=21): 10926 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(9136(a,1),10921(a,1,3))]. given #10089 (H,wt=28): 10924 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(227,a,9309,a,b,10921,a(flip)),flip(a)]. given #10090 (H,wt=28): 10931 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(3087(a,1),10924(a,1,1,1,2,2))]. given #10091 (H,wt=34): 10917 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(6828,a,10913,a)]. given #10092 (H,wt=34): 10918 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(9188,a,10914,a)]. given #10093 (H,wt=34): 10919 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,y \ (x \ 1)) * 1). [para(123(a,1),10915(a,2,3,1,2))]. given #10094 (H,wt=32): 10934 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,y \ (x \ 1))). [para(12(a,1),10919(a,2,3))]. given #10095 (H,wt=34): 10933 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(9182(a,1),10918(a,1,1))]. given #10096 (H,wt=27): 10935 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),10933(a,1,1,1))]. given #10097 (H,wt=15): 10936 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6499,a,10935,a)]. given #10098 (H,wt=15): 10938 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(3087(a,1),10936(a,1,2))]. given #10099 (H,wt=35): 5832 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5795(a,1),484(a,1,2))]. given #10100 (H,wt=34): 10939 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5818(a,1),5832(a,1,1))]. given #10101 (H,wt=35): 5960 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(5947(a,1),4343(a,1,1,1))]. given #10102 (H,wt=30): 10941 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(5947(a,1),5960(a,1,1,2,1,1)),flip(a)]. given #10103 (H,wt=26): 10942 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(13(a,1),10941(a,2,1,2,1))]. given #10104 (H,wt=21): 10943 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(5947(a,1),10942(a,1,1)),flip(a)]. given #10105 (H,wt=21): 10944 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(8792,a,10943,a),flip(a)]. given #10106 (H,wt=35): 6382 ((x / y) * ((y \ x) \ K(y,y \ x))) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). [para(6246(a,2),3339(a,1,1))]. given #10107 (H,wt=33): 10945 ((x / y) * (T(y \ x,y) \ 1)) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). [para(4963(a,2),6382(a,1,1,2))]. given #10108 (H,wt=31): 10946 ((x / y) * T(x \ y,y)) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). [para(973(a,1),10945(a,1,1,2))]. given #10109 (H,wt=29): 10947 ((x / y) * T(x \ y,y)) * T(z,K(x,y)) = (K(y,y \ x) * z) * K(y,y \ x). [para(7695(a,1),10946(a,1,2))]. given #10110 (H,wt=29): 10948 (x / y) * (T(y \ x,y) \ T(z,K(x,y))) = (K(y,y \ x) * z) * K(y,y \ x). [hyper(227,a,10435,a(flip),b,10947,a(flip)),flip(a)]. given #10111 (H,wt=29): 10949 (x / y) * (T(y \ x,y) \ T(z,K(x,y))) = K(y,y \ x) * (z * K(y,y \ x)). [hyper(227,a,7297,a(flip),b,10948,a)]. given #10112 (H,wt=27): 10950 K(x,x \ y) * (z * K(x,x \ y)) = y * (T(T(y,x),x) \ T(z,K(y,x))). [hyper(227,a,9903,a(flip),b,10949,a(flip))]. given #10113 (H,wt=35): 6845 K(x \ ((x / y) * z),x \ ((z / x) \ y)) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [para(5978(a,1),4321(a,1,1))]. given #10114 (H,wt=35): 7931 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). [para(7838(a,1),7164(a,1,1,2,1)),flip(a)]. given #10115 (H,wt=31): 10951 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). [hyper(227,a,7491,a(flip),b,7931,a)]. given #10116 (H,wt=35): 8178 (x * ((y * (1 / z)) * (y * (1 / z)))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). [para(1395(a,1),8175(a,2,2,2))]. given #10117 (H,wt=35): 8461 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3660(a,1),8451(a,1,1))]. given #10118 (H,wt=35): 8467 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(8462(a,1),5076(a,1,1,1))]. given #10119 (H,wt=35): 8620 K(x,y * (1 / x)) * (((y * (1 / x)) * (y * (1 / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. [para(1395(a,1),8618(a,2,1,2))]. given #10120 (H,wt=33): 10955 K(x,x \ y) * (((y * (1 / x)) * (y * (1 / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. [para(5348(a,1),8620(a,1,1))]. given #10121 (H,wt=33): 10956 K(x,x \ y) * ((y * ((1 / x) * (y * (1 / x)))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. [para(940(a,1),10955(a,1,2,1))]. given #10122 (H,wt=29): 10957 K(x,x \ y) * ((y * (x \ (y / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. [para(3480(a,1),10956(a,1,2,1,2))]. given #10123 (H,wt=23): 10958 ((x * (1 / y)) * ((y \ 1) * x)) \ z = ((x / y) * (y \ x)) \ z. [hyper(227,a,9470,a(flip),b,10957,a(flip))]. given #10124 (H,wt=19): 10959 ((x / y) * (y \ x)) \ z = (x * (y \ (y \ x))) \ z. [para(2700(a,1),10958(a,1,1)),flip(a)]. given #10125 (H,wt=21): 10960 ((x / y) \ ((y \ x) \ 1)) * z = (x * (y \ (y \ x))) \ z. [hyper(227,a,10887,a,b,10959,a(flip)),flip(a)]. given #10126 (H,wt=35): 9198 (K(x,x \ 1) * (y \ z)) * ((y \ x) * (1 / x)) = ((y \ x) * (1 / x)) * (z * ((y \ x) * (1 / x))). [para(9185(a,1),5587(a,1,1))]. given #10127 (H,wt=35): 9264 L(x,(y * (1 / (1 * y))) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). [para(9262(a,1),3767(a,1,2))]. given #10128 (H,wt=33): 10962 L(x,(y * (1 / y)) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). [para(11(a,1),9264(a,1,2,1,2,2))]. given #10129 (H,wt=33): 10963 L(x,K(y,y \ 1) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). [para(2255(a,2),10962(a,1,2,1))]. given #10130 (H,wt=33): 10964 L(x,K(y,y \ 1) * z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). [para(6479(a,1),10963(a,1,2))]. given #10131 (H,wt=27): 10965 L(x,(y \ z) * (1 / z),(y \ z) * (1 / z)) = L(x,y,(y \ z) * (1 / z)). [hyper(10708,a,10964,a),flip(a)]. given #10132 (H,wt=35): 9332 (((1 / ((x \ (1 / y)) * (1 / z))) \ z) \ 1) \ (1 / u) = (y * (z * (((z \ x) \ 1) \ 1))) \ (1 / u). [para(9327(a,1),3944(a,2,1))]. given #10133 (H,wt=35): 9416 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6095(a,1),9415(a,2,1))]. given #10134 (H,wt=32): 10967 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(227,a,6890,a(flip),b,9416,a)]. given #10135 (H,wt=27): 10968 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(264(a,1),10967(a,2,1,2))]. given #10136 (H,wt=13): 10969 L(K(x,y),L(y,z,u),w) = K(x,y). [para(2707(a,1),10968(a,1,2)),flip(a)]. given #10137 (H,wt=21): 10970 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(227,a,7235,a(flip),b,10969,a(flip))]. given #10138 (H,wt=35): 9434 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (1 / (y * x)) * ((((x \ 1) \ 1) \ (1 / y)) * z). [para(1117(a,1),9431(a,1,1)),flip(a)]. given #10139 (H,wt=31): 10971 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (1 / (y * x)) * ((1 / (y * x)) * z). [para(1117(a,1),9434(a,2,2,1))]. given #10140 (H,wt=31): 10972 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = ((y * x) \ 1) * (((y * x) \ 1) * z). [hyper(227,a,3823,a(flip),b,10971,a)]. given #10141 (H,wt=31): 10973 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (x \ (y \ 1)) * (((y * x) \ 1) * z). [para(123(a,1),10972(a,2,1))]. given #10142 (H,wt=31): 10974 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (x \ (y \ 1)) * ((x \ (y \ 1)) * z). [para(123(a,1),10973(a,2,2,1))]. given #10143 (H,wt=35): 9485 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(6932(a,1),5797(a,1,1,2))]. given #10144 (H,wt=33): 10975 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5747(a,1),9485(a,1,1))]. given #10145 (H,wt=21): 10976 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(825,a,10975,a),flip(a)]. given #10146 (H,wt=23): 10978 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5788(a,1),10976(a,1,2)),flip(a)]. given #10147 (H,wt=24): 10977 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(10975(a,1),825(a,1))]. given #10148 (H,wt=35): 9768 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(7572(a,1),6578(a,1,2,1,2))]. given #10149 (H,wt=31): 10979 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(62(a,1),9768(a,1,2,1)),flip(a)]. given #10150 (H,wt=31): 10981 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(6555(a,2),10979(a,2,2))]. given #10151 (H,wt=31): 10982 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(227,a,6601,a(flip),b,10981,a)]. given #10152 (H,wt=25): 10983 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(227,a,7733,a(flip),b,10982,a(flip))]. given #10153 (H,wt=26): 10985 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(10983(a,2),7742(a,1))]. given #10154 (H,wt=35): 9890 (x * (1 / (K(y \ z,z \ y) * (u * x)))) * w = x * (1 / ((w \ (K(y \ z,z \ y) * u)) * x)). [para(4577(a,1),9884(a,1,1,2,2))]. given #10155 (H,wt=35): 9901 ((1 / T(x,y \ (z \ 1))) * K(u \ w,w \ u)) \ (z * y) = ((z * y) * x) * K(u \ w,w \ u). [para(704(a,1),9898(a,2,1))]. given #10156 (H,wt=33): 10987 (K(x \ y,y \ x) / T(z,u \ (w \ 1))) \ (w * u) = ((w * u) * z) * K(x \ y,y \ x). [para(3455(a,1),9901(a,1,1))]. given #10157 (H,wt=35): 9922 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(9128(a,1),9919(a,1,2,2,1,2))]. given #10158 (H,wt=32): 10988 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(227,a,10357,a(flip),b,9922,a(flip)),flip(a)]. given #10159 (H,wt=28): 10989 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10738,a,10988,a)]. given #10160 (H,wt=28): 10990 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(227,a,10812,a(flip),b,10989,a(flip)),flip(a)]. given #10161 (H,wt=26): 10991 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),10990(a,1,2,2,1))]. given #10162 (H,wt=26): 10992 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(227,a,9164,a(flip),b,10991,a)]. given #10163 (H,wt=26): 10993 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(227,a,10836,a(flip),b,10992,a)]. given #10164 (H,wt=24): 10994 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),10993(a,2,2,2,1))]. given #10165 (H,wt=35): 9980 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(2478(a,2),9978(a,1,2,1,1))]. given #10166 (H,wt=32): 10995 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(7304,a,9980,a),flip(a)]. given #10167 (H,wt=32): 10997 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(227,a,8494,a(flip),b,10995,a)]. given #10168 (H,wt=28): 10998 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(13(a,1),10997(a,2,2,1,1))]. given #10169 (H,wt=25): 11000 K(x,((y * x) * z) / ((u * y) * z)) != w | K(R(x,y,z),u \ x) = w. [para(10998(a,1),10660(a,1))]. given #10170 (H,wt=35): 10025 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(7775(a,1),10024(a,2,1))]. given #10171 (H,wt=35): 10284 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10281(a,1),4407(a,1,1)),flip(a)]. given #10172 (H,wt=30): 11002 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10281(a,1),10284(a,2,2,1,1))]. given #10173 (H,wt=28): 11003 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5084(a,1),11002(a,2,2,1))]. given #10174 (H,wt=26): 11005 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5084(a,1),11003(a,1,1,2,1))]. given #10175 (H,wt=26): 11006 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(227,a,6473,a(flip),b,11005,a(flip)),flip(a)]. given #10176 (H,wt=30): 11008 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(11005(a,2),10159(a,1,1))]. given #10177 (H,wt=35): 10421 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8680(a,2),10420(a,1,1))]. given #10178 (H,wt=35): 10536 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(65(a,1),10446(a,1,1,2)),flip(a)]. given #10179 (H,wt=31): 11011 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),10536(a,2,2,2,1,1,2))]. given #10180 (H,wt=27): 11012 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),11011(a,1,2))]. given #10181 (H,wt=25): 11013 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11012(a,1),10370(a,1,1))]. given #10182 (H,wt=19): 11014 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6301,a,11013,a)]. given #10183 (H,wt=19): 11015 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10754,a,11014,a),flip(a)]. given #10184 (H,wt=19): 11017 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(227,a,8629,a(flip),b,11015,a(flip)),flip(a)]. given #10185 (H,wt=21): 11018 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11017(a,1),4996(a,2,2)),flip(a)]. given #10186 (H,wt=24): 11016 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10108,a,11015,a),flip(a)]. given #10187 (H,wt=20): 11019 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),11016(a,1,2,2,2)),flip(a)]. given #10188 (H,wt=15): 11020 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),11019(a,2,2))]. given #10189 (H,wt=10): 11022 K(x,R(y,x,z)) = K(x,y). [hyper(10734,a,11020,a),flip(a)]. given #10190 (H,wt=12): 11029 T(x,R(y,x,z)) = x * K(x,y). [para(11022(a,1),4996(a,2,2))]. given #10191 (H,wt=10): 11030 T(x,R(y,x,z)) = T(x,y). [hyper(227,a,4996,a,b,11029,a)]. given #10192 (H,wt=13): 11024 K(x,R(y,x,z)) != u | K(x,y) = u. [para(11020(a,1),10734(a,1))]. given #10193 (H,wt=14): 11027 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(227,a,7971,a(flip),b,11022,a(flip)),flip(a)]. given #10194 (H,wt=15): 11026 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(227,a,10074,a(flip),b,11022,a(flip)),flip(a)]. given #10195 (H,wt=15): 11037 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6316,a,11027,a)]. given #10196 (H,wt=15): 11038 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10754,a,11026,a)]. given #10197 (H,wt=15): 11041 K(x,x \ ((x * y) / z)) = K(x,y / z). [hyper(227,a,8005,a(flip),b,11026,a(flip))]. given #10198 (H,wt=15): 11042 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(10753,a,11037,a)]. given #10199 (H,wt=16): 11028 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),11022(a,1,2))]. given #10200 (H,wt=17): 11023 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10081,a,11020,a)]. given #10201 (H,wt=19): 11040 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(227,a,11014,a(flip),b,11026,a(flip)),flip(a)]. given #10202 (H,wt=19): 11047 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(227,a,8628,a(flip),b,11040,a(flip))]. given #10203 (H,wt=19): 11048 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(227,a,11041,a(flip),b,11047,a(flip))]. given #10204 (H,wt=20): 11036 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(8843(a,2),11024(a,1))]. given #10205 (H,wt=21): 11043 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11038(a,1),11018(a,1,2))]. given #10206 (H,wt=19): 11050 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5001,a,11043,a),flip(a)]. given #10207 (H,wt=22): 11045 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(227,a,7975,a,b,11028,a(flip)),flip(a)]. given #10208 (H,wt=19): 11051 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11022(a,1),11045(a,1,1))]. given #10209 (H,wt=22): 11049 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11048(a,1),8042(a,1))]. given #10210 (H,wt=24): 11046 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11023(a,1),503(a,1,1))]. given #10211 (H,wt=21): 11053 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(227,a,8966,a(flip),b,11046,a(flip))]. given #10212 (H,wt=17): 11054 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5061(a,1),11053(a,2,1))]. given #10213 (H,wt=15): 11055 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(227,a,10015,a(flip),b,11054,a(flip)),flip(a)]. given #10214 (H,wt=10): 11056 L(x,K(y,z),z * y) = x. [hyper(1155,a,11055,a)]. given #10215 (H,wt=10): 11061 L(x,y * z,K(z,y)) = x. [hyper(10742,a,11056,a)]. given #10216 (H,wt=11): 11060 L(x,T(y,z),z) = L(x,y,z). [hyper(10743,a,11056,a)]. given #10217 (H,wt=12): 11064 L(x,T(y,z) * z,K(z,y)) = x. [para(5086(a,1),11061(a,1,3))]. given #10218 (H,wt=11): 11072 L(x,y,T(z,y)) = L(x,y,z). [hyper(10437,a,11064,a),flip(a)]. given #10219 (H,wt=12): 11067 L(x \ 1,y,x) = (y * x) \ y. [hyper(227,a,1699,a(flip),b,11060,a(flip))]. given #10220 (H,wt=13): 11075 L(x,y,z / y) = L(x,y,y \ z). [para(115(a,1),11072(a,1,3)),flip(a)]. given #10221 (H,wt=14): 11073 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(11064(a,1),10437(a,1))]. given #10222 (H,wt=13): 11084 K(x,y) != z | L(K(x,y),y,u) = z. [para(5930(a,1),11073(a,1))]. given #10223 (H,wt=15): 11057 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(72,a,14,a(flip),b,11055,a),flip(a)]. given #10224 (H,wt=15): 11058 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(227,a,10730,a,b,11055,a(flip)),flip(a)]. given #10225 (H,wt=15): 11077 L(x,y,y * (z \ 1)) = L(x,y,z \ y). [para(1201(a,1),11072(a,1,3)),flip(a)]. given #10226 (H,wt=15): 11089 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(588,a,11058,a)]. given #10227 (H,wt=16): 11063 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(227,a,9069,a(flip),b,11061,a(flip))]. given #10228 (H,wt=16): 11070 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11060(a,1),471(a,1,2))]. given #10229 (H,wt=16): 11080 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(227,a,482,a(flip),b,11075,a(flip))]. given #10230 (H,wt=16): 11081 x * L(y,z,z \ x) = (x / z) * (z * y). [para(11075(a,1),462(a,1,2))]. given #10231 (H,wt=8): 11096 L(x,y,y \ x) = x. [hyper(17,a,936,a(flip),b,11081,a)]. given #10232 (H,wt=10): 11098 L(x * y,x,y) = x * y. [para(13(a,1),11096(a,1,3))]. given #10233 (H,wt=16): 11083 L(x,y,y \ z) != u | L(x,y,z / y) = u. [para(115(a,1),11073(a,1,3))]. given #10234 (H,wt=16): 11095 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11063(a,2),62(a,1,2))]. given #10235 (H,wt=17): 11079 L(x \ 1,y,x) * z = L(x \ 1,x,y) * z. [para(11067(a,2),376(a,2,1)),flip(a)]. given #10236 (H,wt=17): 11085 K(x,y * x) != z | L(K(x,y * x),y,u) = z. [para(5932(a,1),11073(a,1))]. given #10237 (H,wt=17): 11086 K(x * y,x) != z | L(K(x * y,x),y,u) = z. [para(6169(a,1),11073(a,1))]. given #10238 (H,wt=17): 11090 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),11058(a,1,2,1))]. given #10239 (H,wt=17): 11092 (x * y) \ (T(x,y) * z) = (y * x) \ (x * z). [para(5795(a,1),11089(a,1,2))]. given #10240 (H,wt=18): 11065 L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). [hyper(227,a,11061,a,b,11060,a),flip(a)]. given #10241 (H,wt=14): 11102 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(11065(a,1),4585(a,1)),flip(b)]. given #10242 (H,wt=18): 11100 ((x \ y) * x) * (y \ 1) != z | K(x \ y,x) = z. [para(11090(a,1),150(a,1)),flip(b)]. given #10243 (H,wt=19): 11066 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(227,a,10604,a(flip),b,11060,a(flip))]. given #10244 (H,wt=19): 11087 L(K(x,y),z,u) != w | L(L(K(x,y),z,u),y,v5) = w. [para(5935(a,1),11073(a,1))]. given #10245 (H,wt=19): 11097 x \ ((x / y) * (y * z)) != u | L(z,y,y \ x) = u. [para(11081(a,1),282(a,1,2)),flip(b)]. given #10246 (H,wt=21): 11099 x * (L(y \ 1,z,y) * u) = x * (L(y \ 1,y,z) * u). [hyper(21,a,11079,a)]. given #10247 (H,wt=22): 11088 (x * R(y,z,y)) \ ((y * x) * y) != u | L(T(y,x),z,y) = u. [para(10294(a,1),11073(a,1))]. given #10248 (H,wt=18): 11103 L(T(x,y),z,T(x,u)) != w | L(T(x,y),z,x) = w. [para(10294(a,2),11088(a,1))]. given #10249 (H,wt=25): 11044 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(1786(a,1),11041(a,1,2,2))]. given #10250 (H,wt=21): 11104 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(227,a,9710,a(flip),b,11044,a(flip))]. given #10251 (H,wt=22): 11105 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11104(a,2),7750(a,1))]. given #10252 (H,wt=25): 11093 (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). [para(5830(a,1),11089(a,1,2))]. given #10253 (H,wt=23): 11106 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(1955(a,1),11093(a,1,2))]. given #10254 (H,wt=25): 11101 (((x \ y) * x) * (x \ 1)) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). [para(11090(a,1),10495(a,1,1))]. given #10255 (H,wt=22): 11108 L(x \ y,x,x) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). [para(1028(a,1),11101(a,1,1))]. given #10256 (H,wt=21): 11109 ((1 / x) * y) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). [para(1020(a,1),11108(a,1,1))]. given #10257 (H,wt=17): 11110 ((1 / x) * y) / (x / y) = (x \ y) * (y / x). [para(263(a,1),11109(a,1,2))]. given #10258 (H,wt=17): 11111 1 / ((x / y) * (y \ x)) = (x \ y) * (y / x). [hyper(578,a,11110,a)]. given #10259 (H,wt=17): 11112 (x / y) \ ((y \ x) \ 1) = (x \ y) * (y / x). [hyper(70,a,11111,a(flip),b,10889,a)]. given #10260 (H,wt=19): 11113 (x * (y \ (y \ x))) \ z = ((x \ y) * (y / x)) * z. [para(11112(a,1),10960(a,1,1)),flip(a)]. given #10261 (H,wt=28): 11035 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(521(a,1),11030(a,1,2))]. given #10262 (H,wt=28): 11107 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(109(a,1),11106(a,2,2))]. given #10263 (H,wt=28): 11114 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(227,a,42,a,b,11035,a(flip)),flip(a)]. given #10264 (H,wt=28): 11115 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(227,a,1952,a(flip),b,11114,a)]. given #10265 (H,wt=28): 11116 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(227,a,42,a,b,11115,a)]. given #10266 (H,wt=28): 11117 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11050(a,1),11116(a,1,1))]. given #10267 (H,wt=20): 11118 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),11117(a,1,1,2,2)),flip(a)]. given #10268 (H,wt=17): 11119 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(598,a,11118,a),flip(a)]. given #10269 (H,wt=17): 11121 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(227,a,1910,a(flip),b,11119,a(flip)),flip(a)]. given #10270 (H,wt=17): 11123 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(709(a,1),11119(a,1,1)),flip(a)]. given #10271 (H,wt=19): 11122 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),11119(a,1,1,2)),flip(a)]. given #10272 (H,wt=21): 11130 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11123(a,1),10013(a,1,2,1)),flip(a)]. given #10273 (H,wt=24): 11131 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(2301(a,1),11122(a,1,1)),flip(a)]. given #10274 (H,wt=21): 11132 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(227,a,173,a(flip),b,11131,a)]. given #10275 (H,wt=21): 11133 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),11132(a,2,1))]. given #10276 (H,wt=20): 11134 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(227,a,836,a(flip),b,11133,a)]. given #10277 (H,wt=25): 11135 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11134(a,1),4966(a,1,1))]. given #10278 (H,wt=20): 11136 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5225,a,11135,a),flip(a)]. given #10279 (H,wt=20): 11137 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(6168,a,11136,a)]. given #10280 (H,wt=20): 11138 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(227,a,9972,a,b,11137,a)]. given #10281 (H,wt=29): 11082 L(x,y * z,(y * (1 / (u * y))) / (y * z)) = L(x,y * z,(z \ (1 / y)) / u). [para(9268(a,1),11075(a,2,3))]. given #10282 (H,wt=29): 11120 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11118(a,1),6533(a,1,2,1))]. given #10283 (H,wt=20): 11139 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(8635,a,11120,a),flip(a)]. given #10284 (H,wt=23): 11140 K(R(x,y,z) \ u,R(x,y,z)) != w | K(x \ u,R(x,y,z)) = w. [para(11120(a,1),8635(a,1))]. given #10285 (H,wt=31): 11127 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5458(a,1),11121(a,2,1))]. given #10286 (H,wt=26): 11144 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(227,a,6809,a(flip),b,11127,a)]. given #10287 (H,wt=24): 11145 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6806(a,1),11144(a,1,1)),flip(a)]. given #10288 (H,wt=31): 11143 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11139(a,1),5160(a,1,1,2))]. given #10289 (H,wt=28): 11147 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5449(a,1),11143(a,1,1))]. given #10290 (H,wt=28): 11148 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(227,a,42,a,b,11147,a(flip)),flip(a)]. given #10291 (H,wt=25): 11149 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5160(a,1),11148(a,1,1)),flip(a)]. given #10292 (H,wt=25): 11150 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(227,a,44,a(flip),b,11149,a)]. given #10293 (H,wt=35): 10952 (x * (y * ((1 / z) * (y * (1 / z))))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). [para(940(a,1),8178(a,1,1,2))]. given #10294 (H,wt=31): 11152 (x * (y * (z \ (y / z)))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). [para(3480(a,1),10952(a,1,1,2,2))]. given #10295 (H,wt=29): 11153 (x * (y * (z \ (y / z)))) * K(z \ y,z) = x * ((y * (1 / z)) * ((z \ 1) * y)). [para(4804(a,1),11152(a,1,2))]. given #10296 (H,wt=23): 11154 x * ((y * (1 / z)) * ((z \ 1) * y)) = x * ((y / z) * (z \ y)). [hyper(227,a,9468,a(flip),b,11153,a(flip))]. given #10297 (H,wt=19): 11155 x * ((y / z) * (z \ y)) = x * (y * (z \ (z \ y))). [para(2700(a,1),11154(a,1,2)),flip(a)]. given #10298 (H,wt=15): 11156 (x / y) * (y \ x) = x * (y \ (y \ x)). [hyper(353,a,11155,a),flip(a)]. given #10299 (H,wt=15): 11157 (x \ y) * (y / x) = y * (x \ (x \ y)). [hyper(8218,a,11156,a)]. given #10300 (H,wt=19): 11158 (x * (y \ 1)) * ((1 / y) * x) = x * (y \ (y \ x)). [hyper(227,a,8224,a,b,11157,a(flip)),flip(a)]. given #10301 (H,wt=19): 11160 (x * (y \ (y \ x))) \ z = (y * (x \ (x \ y))) * z. [para(11157(a,1),11113(a,2,1))]. given #10302 (H,wt=21): 11161 (x / y) * (((1 / x) * y) \ z) = (y * (x \ (x \ y))) \ z. [para(11158(a,1),10598(a,1,1)),flip(a)]. given #10303 (H,wt=21): 11162 (x / y) * (((1 / x) * y) \ z) = (x * (y \ (y \ x))) * z. [hyper(227,a,11160,a(flip),b,11161,a)]. given #10304 (H,wt=27): 11163 (x * ((y / x) \ ((y / x) \ x))) * z = (x / (y / x)) * (((x \ y) / x) \ z). [para(637(a,1),11162(a,1,2,1)),flip(a)]. given #10305 (H,wt=27): 11164 (x * ((y / x) \ ((y / x) \ x))) * z = (x * (x / y)) * (((x \ y) / x) \ z). [para(947(a,1),11163(a,2,1))]. given #10306 (H,wt=29): 11159 (x * (y \ (y \ x))) \ ((y \ x) * ((x / y) * z)) != u | L(z,x / y,y \ x) = u. [para(11157(a,1),474(a,1,1))]. given #10307 (H,wt=26): 11165 (x * (y \ (y \ x))) * ((x \ y) * ((y / x) * z)) = L(z,y / x,x \ y). [hyper(11159,a,11160,a),flip(a)]. given #10308 (H,wt=35): 10953 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(6443(a,1),8461(a,1,1,1))]. given #10309 (H,wt=31): 11166 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(3267(a,1),10953(a,1,1,2)),flip(a)]. given #10310 (H,wt=27): 11167 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(5130(a,1),11166(a,2,1))]. given #10311 (H,wt=27): 11168 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(227,a,7888,a,b,11167,a)]. given #10312 (H,wt=23): 11169 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(3268(a,1),11168(a,1,1,1))]. given #10313 (H,wt=23): 11170 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(6443(a,1),11169(a,1,1))]. given #10314 (H,wt=25): 11171 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(227,a,10359,a(flip),b,11170,a(flip))]. given #10315 (H,wt=21): 11172 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7490(a,1),11171(a,1,1)),flip(a)]. given #10316 (H,wt=35): 10954 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10313(a,1),8467(a,1,1))]. given #10317 (H,wt=35): 10961 ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = K(y,y \ 1) * ((x \ z) * ((x \ y) * (1 / y))). [hyper(4560,a,9198,a),flip(a)]. given #10318 (H,wt=25): 11174 ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = (x \ z) * (x \ 1). [hyper(227,a,9191,a(flip),b,10961,a)]. given #10319 (H,wt=23): 11176 ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = x \ (z / x). [hyper(227,a,1257,a(flip),b,11174,a)]. given #10320 (H,wt=35): 10966 ((((x \ 1) \ (1 / (y \ (1 / z)))) \ x) \ 1) \ (1 / u) = (z * (x * (((x \ y) \ 1) \ 1))) \ (1 / u). [para(1120(a,1),9332(a,1,1,1,1))]. given #10321 (H,wt=35): 10986 (x * ((1 / (y * x)) * K(z \ u,u \ z))) * w = x * (1 / ((w \ (K(z \ u,u \ z) * y)) * x)). [para(10800(a,1),9890(a,1,1,2))]. given #10322 (H,wt=33): 11178 x * (1 / ((y \ (K(z \ u,u \ z) * w)) * x)) = (x * (K(z \ u,u \ z) / (w * x))) * y. [para(3455(a,1),10986(a,1,1,2)),flip(a)]. given #10323 (H,wt=35): 11001 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(8188(a,1),10025(a,1,1))]. given #10324 (H,wt=33): 11179 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7515(a,1),11001(a,1,1,2))]. given #10325 (H,wt=19): 11180 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8413,a,11179,a),flip(a)]. given #10326 (H,wt=13): 11181 R(K(x,y),L(y,z,u),w) = K(x,y). [para(8409(a,1),11180(a,1,1))]. given #10327 (H,wt=21): 11182 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(227,a,7201,a(flip),b,11181,a(flip)),flip(a)]. given #10328 (H,wt=21): 11184 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(227,a,5441,a(flip),b,11182,a)]. given #10329 (H,wt=25): 11185 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(227,a,10766,a,b,11184,a(flip)),flip(a)]. given #10330 (H,wt=24): 11186 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11185(a,1),7743(a,1))]. given #10331 (H,wt=35): 11146 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11145(a,1),10261(a,1,2))]. given #10332 (H,wt=34): 11187 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(2537(a,1),11146(a,1,2,1)),flip(a)]. given #10333 (H,wt=35): 11173 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(227,a,10288,a(flip),b,10954,a(flip))]. given #10334 (H,wt=35): 11177 ((((x \ 1) \ ((1 / (1 / y)) * z)) \ x) \ 1) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). [para(313(a,1),10966(a,1,1,1,1,2))]. given #10335 (H,wt=35): 11188 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(6559(a,1),11173(a,2,2,1))]. given #10336 (H,wt=33): 11190 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),11188(a,2,2))]. given #10337 (H,wt=35): 11189 ((((x \ 1) \ (((y \ 1) \ 1) * z)) \ x) \ 1) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). [para(1058(a,1),11177(a,1,1,1,1,2,1))]. given #10338 (H,wt=35): 11191 ((((((x \ 1) \ 1) * y) \ z) * (1 / z)) \ 1) \ (1 / u) = (x * (z * (((z \ y) \ 1) \ 1))) \ (1 / u). [para(2113(a,1),11189(a,1,1,1))]. given #10339 (H,wt=35): 11192 ((1 / x) \ (((((y \ 1) \ 1) * z) \ x) \ 1)) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). [para(123(a,1),11191(a,1,1))]. given #10340 (H,wt=35): 11193 (x * (((x \ (((y \ 1) \ 1) * z)) \ 1) \ 1)) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). [para(3825(a,1),11192(a,1,1))]. given #10341 (H,wt=36): 6907 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(6904(a,1),2765(a,1,1,1,1))]. given #10342 (H,wt=24): 11194 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),6907(a,1,1,1)),flip(a)]. given #10343 (H,wt=19): 11196 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10285(a,1),11194(a,1,2,1)),flip(a)]. given #10344 (H,wt=34): 11198 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11196(a,1),6807(a,1,2,2))]. given #10345 (H,wt=28): 11199 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(6427(a,1),11198(a,1,2)),flip(a)]. given #10346 (H,wt=24): 11200 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(227,a,6396,a(flip),b,11199,a)]. given #10347 (H,wt=16): 11202 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(227,a,6444,a(flip),b,11200,a)]. given #10348 (H,wt=14): 11204 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6795(a,1),11202(a,1,2))]. given #10349 (H,wt=36): 7212 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(7022(a,1),5459(a,1,1,1,2))]. given #10350 (H,wt=25): 11205 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6706,a,7212,a),flip(a)]. given #10351 (H,wt=36): 8931 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(8918(a,2),465(a,1,2,2))]. given #10352 (H,wt=36): 9255 ((x \ 1) \ K(y,z)) \ ((x * (K(z,y) \ (u / x))) * x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). [hyper(72,a,9251,a,b,5284,a)]. given #10353 (H,wt=36): 9817 ((x \ y) \ 1) * L(L((x \ 1) \ 1,y,y),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [para(9810(a,1),4173(a,1,2,1))]. given #10354 (H,wt=35): 11209 ((x \ y) \ 1) * L((y * (x \ 1)) \ y,z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [para(1301(a,1),9817(a,1,2,1))]. given #10355 (H,wt=35): 11210 ((x \ y) \ 1) * L(y * ((x \ y) \ 1),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [para(1220(a,1),11209(a,1,2,1))]. given #10356 (H,wt=31): 11211 (x \ y) \ L(y / (x \ y),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [hyper(227,a,1694,a(flip),b,11210,a(flip)),flip(a)]. given #10357 (H,wt=27): 11212 (x \ 1) * (((y \ 1) \ 1) * L((y \ 1) \ 1,z,u)) = (y \ x) \ L(y,z,u). [para(62(a,1),11211(a,1,2,1)),flip(a)]. given #10358 (H,wt=25): 11213 (x \ 1) * ((y \ 1) \ L(1 / (y \ 1),z,u)) = (y \ x) \ L(y,z,u). [para(1738(a,1),11212(a,1,2))]. given #10359 (H,wt=21): 11214 (x \ 1) * ((y \ 1) \ L(y,z,u)) = (y \ x) \ L(y,z,u). [para(62(a,1),11213(a,1,2,2,1))]. given #10360 (H,wt=19): 11215 (x \ 1) * (y * L(y,z,u)) = (y \ x) \ L(y,z,u). [para(9278(a,1),11214(a,1,2))]. given #10361 (H,wt=20): 11217 x * ((y \ x) \ L(y,z,u)) = L(y * L(y,z,u),x,x). [para(11215(a,1),1389(a,1,2))]. given #10362 (H,wt=23): 11216 (1 / (x * L(x,y,z))) / (u \ 1) = 1 / ((x \ u) \ L(x,y,z)). [para(11215(a,1),325(a,2,2))]. given #10363 (H,wt=23): 11220 (x \ (L(x,y,z) \ 1)) / (u \ 1) = 1 / ((x \ u) \ L(x,y,z)). [para(9276(a,1),11216(a,1,1))]. given #10364 (H,wt=23): 11221 (1 / (x \ (L(x,y,z) \ 1))) \ u = 1 / ((x \ u) \ L(x,y,z)). [hyper(334,a,11220,a)]. given #10365 (H,wt=23): 11222 ((1 / 1) \ (L(x,y,z) * x)) \ u = 1 / ((x \ u) \ L(x,y,z)). [para(340(a,1),11221(a,1,1))]. given #10366 (H,wt=21): 11223 1 / ((x \ y) \ L(x,z,u)) = (1 \ (L(x,z,u) * x)) \ y. [para(59(a,1),11222(a,1,1,1)),flip(a)]. given #10367 (H,wt=21): 11225 1 / ((x \ y) \ L(x,z,u)) = (1 \ (x * L(x,z,u))) \ y. [para(265(a,1),11223(a,2,1,2))]. given #10368 (H,wt=19): 11226 1 / ((x \ y) \ L(x,z,u)) = (x * L(x,z,u)) \ y. [para(50(a,1),11225(a,2,1))]. given #10369 (H,wt=19): 11227 (1 / L(x,y,z)) * (x \ u) = (x * L(x,y,z)) \ u. [hyper(316,a,11226,a)]. given #10370 (H,wt=26): 11219 ((x \ y) * (y \ 1)) \ (L(x,z,u) * y) = L(x * L(x,z,u),y,y) * y. [para(11217(a,1),9256(a,2,1))]. given #10371 (H,wt=22): 11229 L(x * L(x,y,z),u,u) * u = (x \ 1) \ (L(x,y,z) * u). [para(124(a,1),11219(a,1,1)),flip(a)]. given #10372 (H,wt=21): 11230 (1 / (x * L(x,y,z))) \ u = (x \ 1) \ (L(x,y,z) * u). [hyper(1307,a,11229,a)]. given #10373 (H,wt=21): 11232 (x \ (L(x,y,z) \ 1)) \ u = (x \ 1) \ (L(x,y,z) * u). [para(9276(a,1),11230(a,1,1))]. given #10374 (H,wt=27): 11218 ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = L(y * L(y,z,u),x,x). [hyper(227,a,4308,a,b,11217,a(flip)),flip(a)]. given #10375 (H,wt=25): 11233 ((x * y) \ x) \ L(1 \ L(y,x,x),z,u) = L(y * L(y,z,u),x,x). [para(59(a,1),11218(a,1,2,1,1))]. given #10376 (H,wt=23): 11234 ((x * y) \ x) \ L(L(y,x,x),z,u) = L(y * L(y,z,u),x,x). [para(50(a,1),11233(a,1,2,1))]. given #10377 (H,wt=22): 11236 L(x,y,y) * L(L(x,y,y),z,u) = L(x * L(x,z,u),y,y). [hyper(227,a,9279,a(flip),b,11234,a(flip)),flip(a)]. given #10378 (H,wt=22): 11237 (x \ 1) * L(y * L(y,z,u),x,x) = (x \ y) * L(y,z,u). [para(11236(a,1),10521(a,1,2))]. given #10379 (H,wt=17): 11238 x \ (y * L(y,z,u)) = (x \ y) * L(y,z,u). [hyper(1350,a,11237,a)]. given #10380 (H,wt=22): 11240 (x \ (1 / y)) * L(1 / y,z,z) = x \ (y \ (z \ (z / y))). [para(9132(a,1),11238(a,1,2)),flip(a)]. given #10381 (H,wt=23): 11239 (x \ ((1 / x) \ (y * L(y,z,u)))) / x = y * (L(y,z,u) / x). [para(11238(a,2),1506(a,1,1,2))]. given #10382 (H,wt=20): 11242 L(x * L(x,y,z),u,u) / u = x * (L(x,y,z) / u). [para(1364(a,1),11239(a,1,1))]. given #10383 (H,wt=20): 11243 (x * (L(x,y,z) / u)) * u = L(x * L(x,y,z),u,u). [para(11242(a,1),16(a,1,1))]. given #10384 (H,wt=23): 11241 x / (y * (((y \ 1) \ 1) * x)) = x * (x \ (y \ (x \ (x / y)))). [para(11240(a,1),3974(a,1,2)),flip(a)]. given #10385 (H,wt=19): 11244 x / (y * (((y \ 1) \ 1) * x)) = y \ (x \ (x / y)). [hyper(227,a,14,a(flip),b,11241,a)]. given #10386 (H,wt=22): 11245 x / (y * (((y \ 1) \ 1) * x)) != z | y \ (x \ (x / y)) = z. [para(11241(a,2),205(a,1)),flip(b)]. given #10387 (H,wt=27): 11228 (x \ 1) * (((x * L(x,y,z)) \ 1) \ u) = ((1 / L(x,y,z)) \ (u / x)) * x. [para(11227(a,1),9249(a,1,2,1))]. given #10388 (H,wt=27): 11247 (x \ 1) * ((x \ (L(x,y,z) \ 1)) \ u) = ((1 / L(x,y,z)) \ (u / x)) * x. [para(447(a,1),11228(a,1,2,1))]. given #10389 (H,wt=27): 11248 (x \ 1) * ((x \ 1) \ (L(x,y,z) * u)) = ((1 / L(x,y,z)) \ (u / x)) * x. [para(11232(a,1),11247(a,1,2))]. given #10390 (H,wt=19): 11249 ((1 / L(x,y,z)) \ (u / x)) * x = L(x,y,z) * u. [hyper(205,a,11248,a)]. given #10391 (H,wt=17): 11251 (x / L(x,y,z)) \ (x * u) = L(x,y,z) * u. [hyper(227,a,9863,a(flip),b,11249,a(flip)),flip(a)]. given #10392 (H,wt=17): 11252 (L(x,y,z) \ x) \ (x * u) = L(x,y,z) * u. [para(4483(a,1),11251(a,1,1))]. given #10393 (H,wt=17): 11253 x \ ((L(x,y,z) \ x) * u) = L(x,y,z) \ u. [hyper(565,a,11252,a),flip(a)]. given #10394 (H,wt=17): 11254 (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). [para(14(a,1),11252(a,1,2))]. given #10395 (H,wt=17): 11256 (L(x,y,z) \ x) \ (L(x,y,z) \ u) = x \ u. [hyper(227,a,2393,a(flip),b,11254,a)]. given #10396 (H,wt=17): 11257 (L(x,y,z) \ x) * (x \ u) = L(x,y,z) \ u. [para(11256(a,1),14(a,1,2))]. given #10397 (H,wt=17): 11258 L(x,y,z) \ (x * u) = (L(x,y,z) \ x) * u. [para(13(a,1),11257(a,1,2)),flip(a)]. given #10398 (H,wt=19): 11255 x \ ((y / x) \ L(x,z,u)) = (L(x,z,u) \ y) \ 1. [para(11253(a,1),4485(a,1,1)),flip(a)]. given #10399 (H,wt=22): 11259 x * ((L(x,y,z) \ u) \ 1) != w | (u / x) \ L(x,y,z) = w. [para(11255(a,1),205(a,1,2)),flip(b)]. given #10400 (H,wt=36): 10257 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(227,a,499,a,b,10254,a(flip)),flip(a)]. given #10401 (H,wt=31): 11260 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(8915(a,1),10257(a,1,1,1))]. given #10402 (H,wt=28): 11261 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(502(a,1),11260(a,1,1))]. given #10403 (H,wt=36): 10669 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(8138(a,1),10667(a,1,1))]. given #10404 (H,wt=32): 11262 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10445(a,1),10669(a,1,1)),flip(a)]. given #10405 (H,wt=30): 11263 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(6560(a,1),11262(a,2,2))]. given #10406 (H,wt=22): 11265 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(227,a,10911,a(flip),b,11263,a(flip))]. given #10407 (H,wt=22): 11267 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(38(a,1),11265(a,1,1,2))]. given #10408 (H,wt=24): 11268 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(227,a,10677,a,b,11267,a),flip(a)]. given #10409 (H,wt=19): 11269 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(10682,a,11268,a)]. given #10410 (H,wt=19): 11270 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(227,a,6555,a(flip),b,11269,a)]. given #10411 (H,wt=23): 11272 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(7510(a,2),11270(a,2,1)),flip(a)]. given #10412 (H,wt=23): 11273 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5301(a,2),11272(a,1,1,1))]. given #10413 (H,wt=36): 10932 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(10931(a,1),10674(a,1,2,2)),flip(a)]. given #10414 (H,wt=34): 11274 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(9496,a,10932,a)]. given #10415 (H,wt=36): 11151 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11150(a,1),2338(a,1,1,1)),flip(a)]. given #10416 (H,wt=29): 11275 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(227,a,2338,a(flip),b,11151,a)]. given #10417 (H,wt=29): 11276 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(42(a,2),11275(a,2,3))]. given #10418 (H,wt=36): 11207 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(2808(a,2),8931(a,1,2,2))]. given #10419 (H,wt=33): 11277 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(100(a,1),11207(a,1,2)),flip(a)]. given #10420 (H,wt=36): 11208 ((x \ 1) \ K(y,z)) \ ((x * (K(y,z) * (u / x))) * x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). [para(6443(a,1),9255(a,1,2,1,2))]. given #10421 (H,wt=35): 11278 ((x \ 1) \ K(y,z)) \ L((x * K(y,z)) * u,x,x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). [para(6656(a,1),11208(a,1,2))]. given #10422 (H,wt=37): 4658 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4647(a,2),1604(a,1,1,1,1))]. given #10423 (H,wt=37): 5484 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(5482(a,1),3512(a,1,2,1,1))]. given #10424 (H,wt=31): 11280 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1904(a,1),5484(a,2,1))]. given #10425 (H,wt=37): 5485 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(5482(a,2),3512(a,1,1))]. given #10426 (H,wt=27): 11281 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(227,a,11280,a(flip),b,5485,a(flip))]. given #10427 (H,wt=21): 11282 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1904(a,1),11281(a,1,1)),flip(a)]. given #10428 (H,wt=36): 11283 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11282(a,1),8897(a,1,1,1,1))]. given #10429 (H,wt=31): 11284 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(7180(a,2),11283(a,1,1))]. given #10430 (H,wt=31): 11285 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7631,a,11284,a)]. given #10431 (H,wt=29): 11286 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(8389,a,11285,a)]. given #10432 (H,wt=25): 11287 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),11286(a,1,2,2)),flip(a)]. given #10433 (H,wt=28): 11288 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11287(a,1),7420(a,1))]. given #10434 (H,wt=37): 9460 (((x * y) * ((1 / (x * y)) * 1)) \ z) * K(u,u \ 1) = ((((y \ (x \ 1)) * (x * y)) \ u) * (1 / u)) \ z. [para(3374(a,1),9336(a,1,1,1))]. given #10435 (H,wt=35): 11289 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (((y * x) * (1 / (y * x))) \ u) * K(z,z \ 1). [para(12(a,1),9460(a,1,1,1,2)),flip(a)]. given #10436 (H,wt=35): 11290 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y * x,(y * x) \ 1) \ u) * K(z,z \ 1). [para(2255(a,2),11289(a,2,1,1))]. given #10437 (H,wt=35): 11291 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y * x,x \ (y \ 1)) \ u) * K(z,z \ 1). [para(123(a,1),11290(a,2,1,1,2))]. given #10438 (H,wt=33): 11292 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(x \ y,y \ x) \ u) * K(z,z \ 1). [para(8370(a,1),11291(a,2,1,1))]. given #10439 (H,wt=33): 11293 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y \ x,x \ y) * u) * K(z,z \ 1). [para(6443(a,1),11292(a,2,1))]. given #10440 (H,wt=33): 11294 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = K(y \ x,x \ y) * (K(z,z \ 1) * u). [hyper(227,a,9123,a(flip),b,11293,a)]. given #10441 (H,wt=31): 11295 ((K(x \ y,y \ x) \ z) * (1 / z)) \ u = K(y \ x,x \ y) * (K(z,z \ 1) * u). [para(8391(a,1),11294(a,1,1,1,1))]. given #10442 (H,wt=37): 9478 K((x \ 1) \ y,((x \ 1) \ y) \ 1) * K(z,z \ 1) = (((x \ z) * (1 / z)) \ y) * (1 / ((x \ 1) \ y)). [hyper(227,a,6549,a,b,9462,a(flip)),flip(a)]. given #10443 (H,wt=35): 11296 K((x \ 1) \ y,y \ (x \ 1)) * K(z,z \ 1) = (((x \ z) * (1 / z)) \ y) * (1 / ((x \ 1) \ y)). [para(3526(a,1),9478(a,1,1))]. given #10444 (H,wt=33): 11297 (((x \ y) * (1 / y)) \ z) * (1 / ((x \ 1) \ z)) = K(x * z,z \ (x \ 1)) * K(y,y \ 1). [para(3458(a,1),11296(a,1,1)),flip(a)]. given #10445 (H,wt=31): 11298 (((x \ y) * (1 / y)) \ z) * (1 / ((x \ 1) \ z)) = K(z \ x,x \ z) * K(y,y \ 1). [para(8370(a,1),11297(a,2,1))]. given #10446 (H,wt=31): 11299 (((x \ y) * (1 / y)) \ z) * ((1 / z) * (x \ 1)) = K(z \ x,x \ z) * K(y,y \ 1). [para(313(a,1),11298(a,1,2))]. given #10447 (H,wt=31): 11300 ((x \ 1) \ y) * (z * (1 / (((x \ 1) \ y) * z))) = K(y \ x,x \ y) * K(z,z \ 1). [hyper(227,a,10498,a(flip),b,11299,a(flip)),flip(a)]. given #10448 (H,wt=37): 9479 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = (((y \ z) * (1 / z)) \ (x \ 1)) * (x * (y \ 1)). [hyper(227,a,3367,a(flip),b,9462,a(flip)),flip(a)]. given #10449 (H,wt=37): 9879 (x * (1 / (y \ 1))) / ((z * (1 / (u * z))) / (y \ 1)) = (x / ((((u \ z) * (1 / z)) \ y) \ 1)) * (y \ 1). [para(3967(a,2),9873(a,2,1,2))]. given #10450 (H,wt=33): 11302 (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (x * u) / ((z * (1 / (y * z))) / (u \ 1)). [para(62(a,1),9879(a,1,1,2)),flip(a)]. given #10451 (H,wt=37): 10683 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(227,a,8653,a(flip),b,9051,a(flip)),flip(a)]. given #10452 (H,wt=37): 11279 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4433(a,2),4658(a,1,1))]. given #10453 (H,wt=37): 11301 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = (z * (((z \ (y / x)) \ 1) \ 1)) * (x * (y \ 1)). [para(9326(a,1),9479(a,2,1))]. given #10454 (H,wt=37): 11303 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(8170,a,10683,a),flip(a)]. given #10455 (H,wt=34): 11305 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(227,a,10994,a(flip),b,11303,a)]. given #10456 (H,wt=27): 11306 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(227,a,10794,a(flip),b,11305,a)]. given #10457 (H,wt=20): 11308 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2960(a,1),11306(a,1,2))]. given #10458 (H,wt=24): 11309 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11308(a,1),6454(a,1,1,2)),flip(a)]. given #10459 (H,wt=20): 11310 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(227,a,6454,a(flip),b,11309,a)]. given #10460 (H,wt=31): 11311 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11310(a,1),7197(a,1,1,2))]. given #10461 (H,wt=31): 11312 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(9983(a,1),11311(a,1,1,2))]. given #10462 (H,wt=29): 11313 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(50(a,1),11312(a,1,1,2,1,2))]. given #10463 (H,wt=26): 11314 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5447(a,1),11313(a,1,1))]. given #10464 (H,wt=26): 11315 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(227,a,40,a,b,11314,a(flip)),flip(a)]. given #10465 (H,wt=21): 11316 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5322(a,1),11315(a,1,1)),flip(a)]. given #10466 (H,wt=18): 11317 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(2533,a,11316,a)]. given #10467 (H,wt=19): 11319 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11317(a,1),6056(a,1,2))]. given #10468 (H,wt=20): 11320 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10663(a,1),11319(a,1))]. given #10469 (H,wt=23): 11318 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11317(a,1),469(a,1,2))]. given #10470 (H,wt=16): 11321 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(456,a,11318,a),flip(a)]. given #10471 (H,wt=12): 11322 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(353,a,11321,a),flip(a)]. given #10472 (H,wt=17): 11324 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(227,a,5157,a,b,11322,a),flip(a)]. given #10473 (H,wt=21): 11327 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11322(a,1),10171(a,1,2,2)),flip(a)]. given #10474 (H,wt=14): 11329 K(x * L(y,z,u),y) = K(y * x,y). [hyper(227,a,6610,a(flip),b,11327,a)]. given #10475 (H,wt=14): 11334 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(227,a,7322,a(flip),b,11329,a(flip))]. given #10476 (H,wt=14): 11336 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(227,a,7360,a(flip),b,11334,a(flip)),flip(a)]. given #10477 (H,wt=14): 11338 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(7745,a,11336,a)]. given #10478 (H,wt=16): 11331 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(8301,a,11329,a)]. given #10479 (H,wt=14): 11340 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(227,a,5091,a(flip),b,11331,a)]. given #10480 (H,wt=17): 11332 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(227,a,8921,a,b,11329,a)]. given #10481 (H,wt=12): 11344 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10337,a,11332,a)]. given #10482 (H,wt=17): 11339 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [para(1042(a,1),11336(a,1,1,1))]. given #10483 (H,wt=15): 11347 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(227,a,9741,a(flip),b,11339,a(flip)),flip(a)]. given #10484 (H,wt=18): 11341 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11186,a,11340,a)]. given #10485 (H,wt=18): 11342 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(227,a,10970,a(flip),b,11340,a(flip)),flip(a)]. given #10486 (H,wt=18): 11345 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11344(a,2),10258(a,2,2))]. given #10487 (H,wt=18): 11351 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(227,a,6010,a(flip),b,11342,a)]. given #10488 (H,wt=19): 11349 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),11347(a,1,1,2,1)),flip(a)]. given #10489 (H,wt=19): 11353 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(100(a,1),11351(a,1,1,2))]. given #10490 (H,wt=19): 11354 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(227,a,7182,a,b,11349,a)]. given #10491 (H,wt=19): 11356 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(227,a,8074,a(flip),b,11353,a(flip)),flip(a)]. given #10492 (H,wt=21): 11352 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11322(a,2),11345(a,1,2))]. given #10493 (H,wt=21): 11357 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(11354(a,1),236(a,1,2))]. given #10494 (H,wt=22): 11358 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(227,a,10519,a,b,11356,a(flip)),flip(a)]. given #10495 (H,wt=23): 11355 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(7802,a,11353,a)]. given #10496 (H,wt=19): 11361 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(227,a,7361,a(flip),b,11355,a)]. given #10497 (H,wt=20): 11362 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(227,a,9926,a(flip),b,11361,a(flip)),flip(a)]. given #10498 (H,wt=15): 11363 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11362(a,2,1))]. given #10499 (H,wt=15): 11364 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11320,a,11363,a),flip(a)]. given #10500 (H,wt=13): 11365 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(9806,a,11364,a)]. given #10501 (H,wt=15): 11367 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(10735,a,11365,a),flip(a)]. given #10502 (H,wt=15): 11368 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(227,a,5084,a,b,11365,a),flip(a)]. given #10503 (H,wt=16): 11366 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11364(a,1),9806(a,1))]. given #10504 (H,wt=16): 11374 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11368(a,1),5096(a,1))]. given #10505 (H,wt=13): 11375 K(x,y) != z | K(x,L(y,x,u)) = z. [para(5914(a,1),11374(a,1))]. given #10506 (H,wt=17): 11372 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11365(a,1),9574(a,1,1))]. given #10507 (H,wt=17): 11373 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11365(a,1),9582(a,1,2))]. given #10508 (H,wt=17): 11378 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [hyper(6490,a,11372,a)]. given #10509 (H,wt=13): 11382 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(9581,a,11378,a)]. given #10510 (H,wt=13): 11384 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(11374,a,11382,a),flip(a)]. given #10511 (H,wt=14): 11387 K(x * y,L(z,x,y)) = K(x * y,z). [para(11098(a,1),11384(a,1,1)),flip(a)]. given #10512 (H,wt=15): 11385 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(227,a,11367,a,b,11384,a(flip)),flip(a)]. given #10513 (H,wt=17): 11380 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6498,a,11373,a)]. given #10514 (H,wt=15): 11389 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(227,a,9577,a(flip),b,11380,a(flip)),flip(a)]. given #10515 (H,wt=17): 11388 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11385(a,1,2,2))]. given #10516 (H,wt=18): 11369 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11365(a,1),100(a,1,2))]. given #10517 (H,wt=18): 11376 K(L(x,y,z),u) != w | K(x,L(u,y * x,z)) = w. [para(7247(a,1),11374(a,1))]. given #10518 (H,wt=19): 11379 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11372(a,1),5747(a,1,2)),flip(a)]. given #10519 (H,wt=19): 11390 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [para(11380(a,1),6628(a,1,2)),flip(a)]. given #10520 (H,wt=20): 11381 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11373(a,1),6499(a,1,1)),flip(b)]. given #10521 (H,wt=20): 11383 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11378(a,1),6463(a,1,2)),flip(b)]. given #10522 (H,wt=21): 11391 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11389(a,1),9912(a,2,2))]. given #10523 (H,wt=21): 11393 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(11369(a,1),5001(a,1))]. given #10524 (H,wt=14): 11396 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(11393,a,5533,a)]. given #10525 (H,wt=16): 11397 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(11396(a,1),463(a,1,2)),flip(a)]. given #10526 (H,wt=23): 11360 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(227,a,9056,a,b,11357,a(flip)),flip(a)]. given #10527 (H,wt=23): 11377 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(7274(a,2),11374(a,1))]. given #10528 (H,wt=23): 11399 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = ((y \ x) \ z) * (y \ x). [hyper(227,a,3658,a(flip),b,11360,a(flip)),flip(a)]. given #10529 (H,wt=23): 11401 (x \ y) / (((x \ y) \ 1) \ z) = 1 / (((y \ x) \ z) * (y \ x)). [para(11399(a,1),263(a,1,2)),flip(a)]. given #10530 (H,wt=23): 11402 1 / (((x \ y) \ z) * (x \ y)) = (y \ x) * (1 / ((y \ x) * z)). [hyper(1410,a,11401,a),flip(a)]. given #10531 (H,wt=24): 11371 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11365(a,1),7860(a,1,2))]. given #10532 (H,wt=24): 11400 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(11377,a,9054,a)]. given #10533 (H,wt=24): 11403 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6880(a,1),11371(a,1,1))]. given #10534 (H,wt=24): 11404 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(227,a,10520,a(flip),b,11400,a(flip)),flip(a)]. given #10535 (H,wt=24): 11405 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(227,a,6884,a(flip),b,11403,a)]. given #10536 (H,wt=24): 11406 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11405(a,1),7487(a,1,1))]. given #10537 (H,wt=25): 11343 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11340(a,1),9651(a,1,1,2))]. given #10538 (H,wt=21): 11407 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(5213(a,1),11343(a,1,1,2)),flip(a)]. given #10539 (H,wt=19): 11408 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(227,a,6007,a(flip),b,11407,a)]. given #10540 (H,wt=19): 11409 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(2392(a,1),11408(a,1,1))]. given #10541 (H,wt=23): 11410 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11409(a,1),9955(a,2,2))]. given #10542 (H,wt=23): 11411 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(227,a,6009,a(flip),b,11410,a)]. given #10543 (H,wt=26): 11398 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(7515(a,1),11397(a,2,1,2)),flip(a)]. given #10544 (H,wt=29): 11328 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11138(a,1),11324(a,1,1,2))]. given #10545 (H,wt=26): 11412 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5449(a,1),11328(a,1,1))]. given #10546 (H,wt=26): 11413 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5301(a,1),11412(a,1,1,1,2))]. given #10547 (H,wt=26): 11414 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(227,a,42,a,b,11413,a(flip)),flip(a)]. given #10548 (H,wt=21): 11415 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5322(a,1),11414(a,1,1)),flip(a)]. given #10549 (H,wt=18): 11416 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(227,a,11322,a(flip),b,11415,a(flip)),flip(a)]. given #10550 (H,wt=23): 11418 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11416(a,1),502(a,1,1)),flip(a)]. given #10551 (H,wt=20): 11419 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(227,a,109,a(flip),b,11418,a)]. given #10552 (H,wt=25): 11421 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11419(a,1),11261(a,1,1))]. given #10553 (H,wt=23): 11422 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11421(a,1),10269(a,1))]. given #10554 (H,wt=26): 11420 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10426(a,1),11419(a,1,1,1)),flip(a)]. given #10555 (H,wt=29): 11370 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11365(a,1),2399(a,1,2,1))]. given #10556 (H,wt=29): 11423 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(6443(a,1),11370(a,1,2))]. given #10557 (H,wt=29): 11424 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11384(a,1),11423(a,1,2,1))]. given #10558 (H,wt=27): 11425 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5795(a,1),11424(a,1,2))]. given #10559 (H,wt=25): 11426 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11379(a,1),11425(a,1,2)),flip(a)]. given #10560 (H,wt=30): 11392 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(9805(a,1),11388(a,2,2))]. given #10561 (H,wt=30): 11395 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11391(a,1),8881(a,2,2))]. given #10562 (H,wt=28): 11428 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11411(a,1),11395(a,1,2))]. given #10563 (H,wt=23): 11429 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(6951,a,11428,a),flip(a)]. given #10564 (H,wt=23): 11430 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11384(a,1),11429(a,2,1))]. given #10565 (H,wt=19): 11431 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(227,a,11372,a(flip),b,11430,a)]. given #10566 (H,wt=15): 11432 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(282,a,11431,a),flip(a)]. given #10567 (H,wt=15): 11435 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11432(a,1,3,1)),flip(a)]. given #10568 (H,wt=15): 11437 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5087(a,1),11432(a,1,3)),flip(a)]. given #10569 (H,wt=15): 11439 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [para(5201(a,1),11437(a,1,3))]. given #10570 (H,wt=15): 11441 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),11439(a,1,3,2)),flip(a)]. given #10571 (H,wt=17): 11436 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(4800(a,1),11432(a,1,3))]. given #10572 (H,wt=15): 11442 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [para(5211(a,1),11436(a,2,3))]. given #10573 (H,wt=17): 11438 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(5967(a,1),11435(a,1,3)),flip(a)]. given #10574 (H,wt=18): 11433 a(x,y,K(z,u)) != w | a(x,y,K(u \ z,u)) = w. [para(11431(a,1),282(a,1)),flip(b)]. given #10575 (H,wt=30): 11417 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11415(a,1),11352(a,1,2))]. given #10576 (H,wt=30): 11427 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(227,a,10517,a(flip),b,11392,a(flip))]. given #10577 (H,wt=27): 11443 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(227,a,11358,a(flip),b,11427,a)]. given #10578 (H,wt=24): 11444 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11377,a,11443,a)]. given #10579 (H,wt=24): 11445 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(227,a,10517,a(flip),b,11444,a(flip)),flip(a)]. given #10580 (H,wt=19): 11446 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(227,a,11404,a(flip),b,11445,a(flip)),flip(a)]. given #10581 (H,wt=17): 11447 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11446(a,2,1,2))]. given #10582 (H,wt=17): 11448 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(8151,a,11447,a)]. given #10583 (H,wt=31): 11386 L(L(x,y \ 1,L(z,y,y)),z / y,K(z,L(u,y,y))) = L(x,1 / y,T(L(z,y,y),u)). [para(11384(a,1),10699(a,1,3))]. given #10584 (H,wt=28): 11450 L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,1 / y,T(L(z,y,y),u)). [para(6021(a,1),11386(a,1,3))]. given #10585 (H,wt=28): 11451 L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,1 / y,L(T(z,u),y,y)). [para(40(a,2),11450(a,2,3))]. given #10586 (H,wt=28): 11453 L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,y \ 1,L(T(z,u),y,y)). [hyper(227,a,10691,a(flip),b,11451,a)]. given #10587 (H,wt=31): 11440 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11437(a,1),11426(a,2,2,2))]. given #10588 (H,wt=29): 11454 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(227,a,6435,a(flip),b,11440,a)]. given #10589 (H,wt=37): 11304 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((x * (y \ 1)) \ (1 / (y / x))) * z)). [hyper(227,a,9889,a(flip),b,11301,a)]. given #10590 (H,wt=37): 11449 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11448(a,1),10645(a,1,1,2,2))]. given #10591 (H,wt=37): 11455 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((y / x) * (1 * (1 / (y / x)))) * z)). [para(3383(a,1),11304(a,2,2,2,1))]. given #10592 (H,wt=35): 11456 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((y / x) * (1 / (y / x))) * z)). [para(11(a,1),11455(a,2,2,2,1,2))]. given #10593 (H,wt=35): 11457 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (K(y / x,(y / x) \ 1) * z)). [para(2255(a,2),11456(a,2,2,2,1))]. given #10594 (H,wt=33): 11458 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (K(x \ y,y \ x) * z)). [para(4269(a,1),11457(a,2,2,2,1))]. given #10595 (H,wt=33): 11459 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * ((1 / z) * K(x \ y,y \ x)). [para(10800(a,1),11458(a,2,2))]. given #10596 (H,wt=38): 5294 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5117(a,1),2965(a,2,2,2))]. given #10597 (H,wt=29): 11460 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5860(a,1),5294(a,1,1,2,1)),flip(a)]. given #10598 (H,wt=27): 11461 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5084(a,1),11460(a,2,1,2))]. given #10599 (H,wt=19): 11463 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6496(a,1),11461(a,2,1))]. given #10600 (H,wt=19): 11464 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(85,a,11463,a)]. given #10601 (H,wt=33): 11465 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11464(a,1),2998(a,1,1,1)),flip(a)]. given #10602 (H,wt=29): 11466 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5666(a,1),11465(a,2,1))]. given #10603 (H,wt=29): 11467 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5286(a,1),11466(a,1,2,2))]. given #10604 (H,wt=25): 11468 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(7623(a,1),11467(a,1,2))]. given #10605 (H,wt=23): 11469 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(7730(a,1),11468(a,1,2)),flip(a)]. given #10606 (H,wt=21): 11470 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(7787,a,11469,a(flip)),flip(a)]. given #10607 (H,wt=38): 7819 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7254(a,1),1851(a,1,1,2))]. given #10608 (H,wt=33): 11474 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(173(a,1),7819(a,1,1)),flip(a)]. given #10609 (H,wt=26): 11475 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10202(a,1),11474(a,2,1))]. given #10610 (H,wt=26): 11476 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(227,a,7486,a,b,11475,a)]. given #10611 (H,wt=19): 11478 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(227,a,8438,a(flip),b,11476,a(flip))]. given #10612 (H,wt=19): 11479 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(7494,a,11478,a)]. given #10613 (H,wt=19): 11481 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(3070(a,2),11478(a,2,2))]. given #10614 (H,wt=19): 11483 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(3070(a,2),11479(a,2,2))]. given #10615 (H,wt=19): 11485 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(439,a,11481,a)]. given #10616 (H,wt=19): 11490 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(227,a,11481,a(flip),b,11485,a(flip))]. given #10617 (H,wt=21): 11486 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(227,a,4996,a(flip),b,11481,a),flip(a)]. given #10618 (H,wt=21): 11487 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(227,a,11172,a,b,11481,a(flip)),flip(a)]. given #10619 (H,wt=21): 11491 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5153,a,11490,a)]. given #10620 (H,wt=21): 11492 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5071,a,11490,a)]. given #10621 (H,wt=19): 11497 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,11487,a,b,11492,a),flip(a)]. given #10622 (H,wt=19): 11498 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(3070(a,2),11497(a,1,1))]. given #10623 (H,wt=19): 11499 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(3070(a,1),11498(a,2,2))]. given #10624 (H,wt=21): 11495 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(3070(a,2),11487(a,1,2,1))]. given #10625 (H,wt=19): 11500 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4996,a(flip),b,11495,a)]. given #10626 (H,wt=19): 11501 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(227,a,11499,a(flip),b,11500,a(flip))]. given #10627 (H,wt=22): 11493 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(11486(a,1),5001(a,1))]. given #10628 (H,wt=22): 11496 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11491(a,1),5369(a,1,1))]. given #10629 (H,wt=22): 11502 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(38(a,1),11493(a,1))]. given #10630 (H,wt=23): 11482 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11478(a,1),9473(a,1,1))]. given #10631 (H,wt=21): 11503 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(5014,a,11482,a),flip(a)]. given #10632 (H,wt=21): 11505 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(227,a,11497,a(flip),b,11503,a)]. given #10633 (H,wt=21): 11507 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(227,a,11500,a,b,11505,a)]. given #10634 (H,wt=21): 11510 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(7443(a,1),11505(a,1,1))]. given #10635 (H,wt=21): 11512 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(227,a,11501,a(flip),b,11510,a)]. given #10636 (H,wt=23): 11508 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,v5),v6,v6 \ w). [hyper(227,a,10006,a,b,11505,a(flip))]. given #10637 (H,wt=16): 11513 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(227,a,9152,a(flip),b,11508,a)]. given #10638 (H,wt=16): 11514 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(3070(a,1),11513(a,1,2))]. given #10639 (H,wt=16): 11515 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),11514(a,1,2,2,2,3))]. given #10640 (H,wt=24): 11494 T(x,K(y,z) * K(u,y)) != x * w | K(K(u,y) * K(y,z),x) = w. [para(11487(a,1),19(a,1))]. given #10641 (H,wt=24): 11504 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(z,y) * K(y,u),x) = w. [para(11482(a,1),5014(a,1))]. given #10642 (H,wt=25): 11484 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(8861,a,11481,a)]. given #10643 (H,wt=25): 11489 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11483(a,1),10378(a,2,1))]. given #10644 (H,wt=23): 11517 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(227,a,4949,a,b,11489,a)]. given #10645 (H,wt=23): 11518 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(6443(a,1),11517(a,1,2))]. given #10646 (H,wt=25): 11516 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(227,a,11479,a(flip),b,11484,a(flip))]. given #10647 (H,wt=25): 11519 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11496,a,11516,a)]. given #10648 (H,wt=27): 11488 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(8722(a,1),11483(a,1,1,2)),flip(a)]. given #10649 (H,wt=27): 11520 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(227,a,4996,a(flip),b,11519,a),flip(a)]. given #10650 (H,wt=25): 11522 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(17,a,4996,a(flip),b,11520,a),flip(a)]. given #10651 (H,wt=27): 11521 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(8857(a,1),11488(a,2,1))]. given #10652 (H,wt=27): 11523 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(227,a,11485,a(flip),b,11521,a)]. given #10653 (H,wt=25): 11524 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8722(a,1),11523(a,1,2,2))]. given #10654 (H,wt=25): 11525 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(227,a,11490,a,b,11524,a),flip(a)]. given #10655 (H,wt=29): 11509 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(227,a,8896,a,b,11505,a(flip)),flip(a)]. given #10656 (H,wt=29): 11511 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(7723(a,1),11505(a,1,1))]. given #10657 (H,wt=25): 11527 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(7723(a,1),11511(a,1,2)),flip(a)]. given #10658 (H,wt=24): 11528 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(11527(a,1),7001(a,1))]. given #10659 (H,wt=22): 11530 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(11503(a,1),11528(a,1))]. given #10660 (H,wt=22): 11531 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(11507(a,1),11528(a,1))]. given #10661 (H,wt=26): 11532 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(11518(a,2),11531(a,1))]. given #10662 (H,wt=29): 11526 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7428(a,1),11509(a,1,2,2,2))]. given #10663 (H,wt=21): 11533 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(6249,a,11526,a)]. given #10664 (H,wt=21): 11534 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7428(a,1),11533(a,1,1))]. given #10665 (H,wt=32): 11506 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(7966(a,1),11503(a,1,2,2)),flip(a)]. given #10666 (H,wt=32): 11535 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(8605(a,1),11506(a,2,2))]. given #10667 (H,wt=30): 11536 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(227,a,11503,a(flip),b,11535,a)]. given #10668 (H,wt=25): 11537 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(7966(a,1),11536(a,1,1,2))]. given #10669 (H,wt=38): 8216 x * ((x \ y) * (L(z,x,x) * T((x \ y) * L(z,x,x),x))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(2145(a,1),6366(a,2,2))]. given #10670 (H,wt=37): 11538 x * ((x \ y) * (L(z,x,x) * (1 / T(z \ (y \ x),x)))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(2147(a,1),8216(a,1,2,2,2))]. given #10671 (H,wt=38): 8476 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(8474(a,1),6158(a,1,1,2,1))]. given #10672 (H,wt=36): 11539 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(8475(a,1),8476(a,1,1,2))]. given #10673 (H,wt=36): 11540 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8539(a,1),11539(a,1,1))]. given #10674 (H,wt=36): 11541 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(42(a,2),11540(a,1,2))]. given #10675 (H,wt=34): 11542 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(192(a,1),11541(a,1,2,1))]. given #10676 (H,wt=34): 11543 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(227,a,8845,a(flip),b,11542,a(flip)),flip(a)]. given #10677 (H,wt=31): 11544 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(227,a,10211,a(flip),b,11543,a(flip)),flip(a)]. given #10678 (H,wt=29): 11546 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(227,a,9067,a(flip),b,11544,a(flip))]. given #10679 (H,wt=29): 11547 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(6223(a,1),11546(a,2,2))]. given #10680 (H,wt=27): 11548 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(227,a,6402,a(flip),b,11547,a)]. given #10681 (H,wt=25): 11549 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(8474(a,1),11548(a,1,1,1))]. given #10682 (H,wt=23): 11550 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(8475(a,1),11549(a,1,1)),flip(a)]. given #10683 (H,wt=24): 11551 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11550(a,1),5827(a,1))]. given #10684 (H,wt=38): 8986 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(8981(a,1),4411(a,1,1))]. given #10685 (H,wt=36): 11552 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(8981(a,1),8986(a,1,2,1,1)),flip(a)]. given #10686 (H,wt=33): 11553 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(227,a,4411,a(flip),b,11552,a)]. given #10687 (H,wt=27): 11555 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1904(a,1),11553(a,2,1))]. given #10688 (H,wt=21): 11556 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1904(a,1),11555(a,1,1))]. given #10689 (H,wt=34): 11557 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11556(a,1),11373(a,1,2,2))]. given #10690 (H,wt=38): 9420 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5347(a,2),9419(a,2,2))]. given #10691 (H,wt=33): 11558 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(28(a,2),9420(a,1,2,2,2)),flip(a)]. given #10692 (H,wt=38): 9822 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u / (1 / (y / z)),u / (1 / (y / z))). [para(9815(a,2),9809(a,2,2)),flip(a)]. given #10693 (H,wt=38): 11206 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5156(a,1),11205(a,1,2)),flip(a)]. given #10694 (H,wt=34): 11560 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(13(a,1),11206(a,2,1,1))]. given #10695 (H,wt=30): 11561 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(227,a,8990,a(flip),b,11560,a)]. given #10696 (H,wt=26): 11563 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(13(a,1),11561(a,1,1,1))]. given #10697 (H,wt=22): 11564 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11563(a,1,2,2))]. given #10698 (H,wt=25): 11565 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5625(a,1),11564(a,1,2,1,3))]. given #10699 (H,wt=38): 11394 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(2725(a,1),11390(a,1,1))]. given #10700 (H,wt=36): 11566 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(9427(a,1),11394(a,1,2))]. given #10701 (H,wt=34): 11567 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(1976(a,1),11566(a,1,2)),flip(a)]. given #10702 (H,wt=34): 11568 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(38(a,1),11567(a,2,2))]. given #10703 (H,wt=30): 11569 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(227,a,8126,a(flip),b,11568,a)]. given #10704 (H,wt=30): 11570 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11384(a,1),11569(a,2,1))]. given #10705 (H,wt=28): 11571 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(227,a,7294,a(flip),b,11570,a)]. given #10706 (H,wt=26): 11572 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(6119(a,1),11571(a,1,2,3))]. given #10707 (H,wt=22): 11573 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4764(a,1),11572(a,1,2,3))]. given #10708 (H,wt=26): 11574 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(227,a,11454,a,b,11573,a(flip)),flip(a)]. given #10709 (H,wt=26): 11575 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11365(a,1),11574(a,1,1))]. given #10710 (H,wt=20): 11576 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2920(a,1),11575(a,1,2)),flip(a)]. given #10711 (H,wt=20): 11577 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(227,a,6443,a(flip),b,11576,a)]. given #10712 (H,wt=20): 11578 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11384(a,1),11577(a,2,1))]. given #10713 (H,wt=18): 11579 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(227,a,5004,a,b,11578,a)]. given #10714 (H,wt=21): 11580 L(T(x,L(y,z,u)),y,x) != w | T(x,L(y * x,z,u)) = w. [para(11578(a,2),5005(a,1))]. given #10715 (H,wt=38): 11559 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u / (1 / (y / z)),(u \ 1) \ (y / z)). [hyper(227,a,4601,a(flip),b,9822,a)]. given #10716 (H,wt=38): 11581 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,(u \ 1) \ (y / z),(u \ 1) \ (y / z)). [hyper(227,a,10714,a(flip),b,11559,a)]. given #10717 (H,wt=39): 5324 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(5273(a,1),3315(a,1,1)),flip(a)]. given #10718 (H,wt=32): 11582 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(5273(a,1),5324(a,2,2,1,1))]. given #10719 (H,wt=28): 11583 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(65(a,1),11582(a,2,2,1))]. given #10720 (H,wt=26): 11585 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(227,a,4641,a(flip),b,11583,a)]. given #10721 (H,wt=22): 11586 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(65(a,1),11585(a,1,1,2,1))]. given #10722 (H,wt=20): 11587 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(4641(a,1),11586(a,1,1))]. given #10723 (H,wt=17): 11588 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6143,a,11587,a)]. given #10724 (H,wt=33): 11589 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11588(a,1),11279(a,1,1,1))]. given #10725 (H,wt=32): 11590 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(884,a,11589,a)]. given #10726 (H,wt=29): 11591 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(109(a,1),11590(a,1,1,2))]. given #10727 (H,wt=22): 11592 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11591(a,1,1)),flip(a)]. given #10728 (H,wt=20): 11593 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(227,a,10503,a(flip),b,11592,a),flip(a)]. given #10729 (H,wt=13): 11594 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(24(a,2),11593(a,2,1,1)),flip(a)]. given #10730 (H,wt=13): 11595 1 / a(x,y,z) = a(x,y,z) \ 1. [para(11594(a,1),62(a,1,2))]. given #10731 (H,wt=16): 11598 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(11595(a,1),281(a,1,1)),flip(b)]. given #10732 (H,wt=17): 11596 ((a(x,y,z) \ 1) * u) \ u = T(a(x,y,z),u). [para(11594(a,1),1193(a,1,1)),flip(a)]. given #10733 (H,wt=19): 11597 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(10465(a,1),11594(a,1,1))]. given #10734 (H,wt=15): 11599 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(11598,a,11597,a),flip(a)]. given #10735 (H,wt=18): 11600 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(11597(a,1),11598(a,1))]. given #10736 (H,wt=39): 5615 ((x \ y) / T(1 / z,(1 / y) * x)) * (1 / ((1 / y) * x)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). [para(5576(a,1),1598(a,1,1))]. given #10737 (H,wt=37): 11602 ((x \ y) / T(1 / z,y \ x)) * (1 / ((1 / y) * x)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). [para(6038(a,1),5615(a,1,1,2))]. given #10738 (H,wt=37): 11603 ((x \ y) / T(1 / z,y \ x)) * (((x \ y) \ 1) \ 1) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). [para(1064(a,1),11602(a,1,2))]. given #10739 (H,wt=35): 11604 1 / (((x \ y) \ T(1 / z,y \ x)) / (x \ y)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). [hyper(227,a,3996,a(flip),b,11603,a(flip)),flip(a)]. given #10740 (H,wt=35): 11605 1 / (((x \ y) * T(1 / z,x \ y)) * (x \ y)) = (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1). [para(9058(a,1),11604(a,1,2))]. given #10741 (H,wt=31): 11606 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = 1 / (((1 / z) * (x \ y)) * (x \ y)). [para(113(a,1),11605(a,1,2,1)),flip(a)]. given #10742 (H,wt=31): 11607 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (x \ y) \ ((x \ y) \ (1 / (1 / z))). [hyper(227,a,3413,a(flip),b,11606,a)]. given #10743 (H,wt=31): 11608 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (x \ y) \ ((x \ y) \ ((z \ 1) \ 1)). [para(1058(a,1),11607(a,2,2,2))]. given #10744 (H,wt=31): 11609 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (1 / (x \ y)) * ((z \ (x \ y)) \ 1). [hyper(227,a,2172,a(flip),b,11608,a)]. given #10745 (H,wt=31): 11610 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = ((1 / y) * x) * ((z \ (x \ y)) \ 1). [para(313(a,1),11609(a,2,1))]. given #10746 (H,wt=31): 11611 (((x \ y) \ 1) \ 1) * ((z \ ((1 / y) * x)) \ 1) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). [para(1064(a,1),11610(a,1,1))]. given #10747 (H,wt=31): 11612 (((x \ y) \ 1) \ 1) * ((x \ y) * ((z \ 1) \ 1)) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). [para(753(a,1),11611(a,1,2))]. given #10748 (H,wt=31): 11613 (x \ y) * ((((x \ y) \ 1) \ 1) * ((z \ 1) \ 1)) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). [hyper(227,a,3653,a(flip),b,11612,a(flip)),flip(a)]. given #10749 (H,wt=27): 11614 ((1 / x) * y) * ((z \ (y \ x)) \ 1) = (x \ y) * ((z \ ((x \ y) \ 1)) \ 1). [para(257(a,1),11613(a,1,2)),flip(a)]. given #10750 (H,wt=31): 11615 T((x \ y) * ((z \ ((x \ y) \ 1)) \ 1),(1 / x) * y) = (z \ (y \ x)) \ ((1 / x) * y). [para(11614(a,1),1201(a,1,1))]. given #10751 (H,wt=29): 11616 T((x \ y) * ((z \ ((x \ y) \ 1)) \ 1),x \ y) = (z \ (y \ x)) \ ((1 / x) * y). [hyper(6121,a,11615,a)]. given #10752 (H,wt=23): 11617 (x \ ((y \ z) \ 1)) \ (y \ z) = (x \ (z \ y)) \ ((1 / y) * z). [hyper(1249,a,11616,a)]. given #10753 (H,wt=23): 11618 (x \ (y \ z)) \ ((1 / z) * y) = ((z \ y) / (1 / x)) * (z \ y). [hyper(227,a,3910,a(flip),b,11617,a(flip))]. given #10754 (H,wt=25): 11619 ((x \ y) / (1 / (z \ 1))) * (x \ y) = (y \ x) \ (1 / ((y \ x) * z)). [hyper(227,a,3865,a(flip),b,11618,a(flip))]. given #10755 (H,wt=21): 11621 (x \ y) \ (1 / ((x \ y) * z)) = ((y \ x) / z) * (y \ x). [para(62(a,1),11619(a,1,1,2)),flip(a)]. given #10756 (H,wt=29): 11620 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (((y \ x) / (1 / z)) * (y \ x)) \ 1. [para(11618(a,1),2790(a,2,1))]. given #10757 (H,wt=29): 11622 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (y \ x) \ (((y \ x) / (1 / z)) \ 1). [hyper(227,a,123,a(flip),b,11620,a)]. given #10758 (H,wt=29): 11623 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (y \ x) \ ((1 / z) * ((y \ x) \ 1)). [para(125(a,1),11622(a,2,2))]. given #10759 (H,wt=29): 11624 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = ((y \ x) \ 1) * ((1 / z) / (y \ x)). [hyper(227,a,1391,a(flip),b,11623,a)]. given #10760 (H,wt=27): 11625 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = 1 / ((y \ x) * (z * (y \ x))). [hyper(227,a,3869,a(flip),b,11624,a)]. given #10761 (H,wt=23): 11626 1 / ((x \ y) * (z * (x \ y))) = (1 / ((y \ x) / z)) \ (y \ x). [para(250(a,1),11625(a,1,2)),flip(a)]. given #10762 (H,wt=21): 11627 1 / ((x \ y) * (z * (x \ y))) = (y \ x) / ((y \ x) \ z). [hyper(227,a,796,a(flip),b,11626,a)]. given #10763 (H,wt=21): 11628 ((x \ y) / ((x \ y) \ z)) \ 1 = (y \ x) * (z * (y \ x)). [para(11627(a,1),65(a,1,1))]. given #10764 (H,wt=21): 11629 ((x \ y) \ z) * ((x \ y) \ 1) = (y \ x) * (z * (y \ x)). [hyper(324,a,11628,a)]. given #10765 (H,wt=19): 11630 (x \ y) \ (z / (x \ y)) = (y \ x) * (z * (y \ x)). [hyper(227,a,1257,a(flip),b,11629,a(flip)),flip(a)]. given #10766 (H,wt=23): 11631 ((1 / x) * y) * (z * ((1 / x) * y)) = (x \ y) * (z * (x \ y)). [hyper(227,a,4031,a,b,11630,a(flip)),flip(a)]. given #10767 (H,wt=24): 11632 ((x \ y) \ z) * L(x,x,y * x) = (y \ x) * ((z * y) * (y \ x)). [hyper(227,a,4170,a(flip),b,11630,a(flip)),flip(a)]. given #10768 (H,wt=39): 8226 ((1 / (x / ((1 / y) * z))) * (((1 / y) * z) \ 1)) \ K(u,w) = ((1 / (((1 / y) * z) * x)) \ (z \ y)) * K(u,w). [para(5557(a,2),6643(a,1,1))]. given #10769 (H,wt=39): 8584 ((x / y) * K(z,z \ K(u,w))) \ K(z,z \ K(u,w)) = (K(z,z \ K(u,w)) * y) * (x \ K(z,z \ K(u,w))). [para(8583(a,1),5503(a,1,1,2))]. given #10770 (H,wt=33): 11635 (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = T(u * (w \ 1),K(x,x \ K(y,z))). [hyper(1327,a,8584,a),flip(a)]. given #10771 (H,wt=31): 11636 (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = T(u * (w \ 1),K(x,K(y,z))). [hyper(227,a,7699,a(flip),b,11635,a)]. given #10772 (H,wt=39): 8781 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(7691(a,1),7186(a,1,2)),flip(a)]. given #10773 (H,wt=39): 8849 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(8530(a,1),8848(a,1,2,1,1))]. given #10774 (H,wt=35): 11638 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(227,a,9322,a(flip),b,8849,a(flip))]. given #10775 (H,wt=31): 11640 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(227,a,4436,a(flip),b,11638,a)]. given #10776 (H,wt=25): 11641 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(3085(a,1),11640(a,1,2,1)),flip(a)]. given #10777 (H,wt=39): 9231 (1 / (K(x,x \ 1) / (y \ (1 / z)))) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(9156(a,1),5557(a,2,2,2))]. given #10778 (H,wt=39): 9433 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (y \ ((x \ 1) \ 1)) * ((y \ ((x \ 1) \ 1)) * z). [para(1600(a,2),9430(a,1,1))]. given #10779 (H,wt=39): 9464 (((x \ 1) \ y) * (1 / y)) \ ((1 / ((x \ y) * (1 / y))) \ z) = ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z). [para(9461(a,1),3377(a,1,1))]. given #10780 (H,wt=39): 9886 x \ (K(x * (1 / (y * x)),(1 / (y * x)) \ (x \ 1)) / z) = 1 / (((1 / (z * (x * (1 / (y * x))))) \ y) * x). [hyper(72,a,3667,a,b,9884,a(flip))]. given #10781 (H,wt=31): 11645 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (K(y * (1 / (z * y)),z) / x). [para(8352(a,1),9886(a,1,2,1)),flip(a)]. given #10782 (H,wt=27): 11646 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (K(z,z \ 1) / x). [para(8285(a,1),11645(a,2,2,1))]. given #10783 (H,wt=27): 11648 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (z * (1 / (x * z))). [para(3664(a,1),11646(a,2,2))]. given #10784 (H,wt=39): 9887 ((1 / (x * y)) \ (y \ 1)) \ (y * (1 / (((1 / (z * (y * (1 / (x * y))))) \ x) * y))) = (y * (1 / (x * y))) / z. [hyper(72,a,9884,a(flip),b,3362,a)]. given #10785 (H,wt=37): 11650 (K(x,x \ 1) * y) \ (x * (1 / (((1 / (z * (x * (1 / (y * x))))) \ y) * x))) = (x * (1 / (y * x))) / z. [para(3650(a,1),9887(a,1,1))]. given #10786 (H,wt=29): 11651 (K(x,x \ 1) * y) \ (x * (x \ (y * (1 / (z * y))))) = (x * (1 / (y * x))) / z. [para(11648(a,1),11650(a,1,2,2))]. given #10787 (H,wt=25): 11652 (K(x,x \ 1) * y) \ (y * (1 / (z * y))) = (x * (1 / (y * x))) / z. [para(14(a,1),11651(a,1,2))]. given #10788 (H,wt=25): 11653 K(x,x \ 1) * (y \ (y * (1 / (z * y)))) = (x * (1 / (y * x))) / z. [hyper(227,a,9195,a(flip),b,11652,a(flip)),flip(a)]. given #10789 (H,wt=21): 11655 K(x,x \ 1) * (1 / (y * z)) = (x * (1 / (z * x))) / y. [para(13(a,1),11653(a,1,2))]. given #10790 (H,wt=19): 11656 (x * (1 / (y * x))) / z = K(x,x \ 1) / (z * y). [hyper(6480,a,11655,a),flip(a)]. given #10791 (H,wt=19): 11658 (x * (1 / (y * x))) / z = x * (1 / ((z * y) * x)). [hyper(227,a,3664,a(flip),b,11656,a)]. given #10792 (H,wt=25): 11660 x * (1 / ((y * ((y * y) \ z)) * x)) = (x * (((x \ z) \ 1) \ 1)) \ y. [hyper(227,a,9896,a(flip),b,11658,a(flip))]. given #10793 (H,wt=23): 11667 (x * (((x \ y) \ 1) \ 1)) \ z = x * (1 / (((z \ 1) * y) * x)). [para(3354(a,1),11660(a,1,2,2,1)),flip(a)]. given #10794 (H,wt=29): 11665 L(x,y * z,y * (1 / (((y * z) * u) * y))) = L(x,y * z,(z \ (1 / y)) / u). [para(11658(a,1),11082(a,1,3))]. given #10795 (H,wt=29): 11671 L(x,y * z,y * ((((y * z) * u) * y) \ 1)) = L(x,y * z,(z \ (1 / y)) / u). [hyper(227,a,4922,a(flip),b,11665,a(flip)),flip(a)]. given #10796 (H,wt=29): 11672 L(x,y * z,y * (y \ (((y * z) * u) \ 1))) = L(x,y * z,(z \ (1 / y)) / u). [para(123(a,1),11671(a,1,3,2))]. given #10797 (H,wt=29): 11673 L(x,y * z,y * (y \ (u \ ((y * z) \ 1)))) = L(x,y * z,(z \ (1 / y)) / u). [para(123(a,1),11672(a,1,3,2,2))]. given #10798 (H,wt=29): 11674 L(x,y * z,y * (y \ (u \ (z \ (y \ 1))))) = L(x,y * z,(z \ (1 / y)) / u). [para(123(a,1),11673(a,1,3,2,2,2))]. given #10799 (H,wt=25): 11675 L(x,y * z,(z \ (1 / y)) / u) = L(x,y * z,u \ (z \ (y \ 1))). [para(14(a,1),11674(a,1,3)),flip(a)]. given #10800 (H,wt=25): 11676 L(x,y * z,(y * z) \ (u \ 1)) = L(x,y * z,u \ (z \ (y \ 1))). [hyper(227,a,10872,a(flip),b,11675,a(flip)),flip(a)]. given #10801 (H,wt=31): 11662 (x * (y \ 1)) * (1 / ((z * u) * (x * (y \ 1)))) = ((x * (y \ 1)) * ((y / x) / u)) / z. [para(327(a,1),11658(a,1,1,2)),flip(a)]. given #10802 (H,wt=27): 11678 (x * (y \ 1)) * (1 / ((z * y) * (x * (y \ 1)))) = ((y \ x) * (1 / x)) / z. [para(4281(a,1),11662(a,2,1))]. given #10803 (H,wt=27): 11679 (x * (y \ 1)) * (1 / ((z * y) * (x * (y \ 1)))) = y \ (x * (1 / (z * x))). [hyper(227,a,9266,a(flip),b,11678,a)]. given #10804 (H,wt=23): 11680 (x * (y \ 1)) * ((y / x) / (z * y)) = y \ (x * (1 / (z * x))). [para(327(a,1),11679(a,1,2))]. given #10805 (H,wt=21): 11681 K(x \ y,y \ x) / (z * y) = y \ (x * (1 / (z * x))). [hyper(227,a,4273,a(flip),b,11680,a(flip)),flip(a)]. given #10806 (H,wt=21): 11682 K(x \ y,y \ x) / (z * x) = x \ (y * (1 / (z * y))). [para(5971(a,1),11681(a,1,1))]. given #10807 (H,wt=33): 11666 (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (x * u) / (z * (1 / (((u \ 1) * y) * z))). [para(11658(a,1),11302(a,2,2))]. given #10808 (H,wt=35): 11661 x * (1 / (((x \ (y \ (x * (1 / (z * x))))) * z) * x)) = (y * (1 / (z / x))) / (x * (1 / (z * x))). [hyper(227,a,3420,a(flip),b,11658,a(flip))]. given #10809 (H,wt=35): 11664 (x * (1 / (K(y \ z,z \ y) * x))) / (u * w) = x * (1 / ((u * (w * K(y \ z,z \ y))) * x)). [para(9076(a,1),11658(a,2,2,2,1))]. given #10810 (H,wt=35): 11668 x * (1 / ((((1 / y) \ 1) * (((z \ 1) \ 1) * u)) * x)) = (z * (x * (((x \ u) \ 1) \ 1))) \ (1 / y). [hyper(227,a,11193,a(flip),b,11667,a(flip))]. given #10811 (H,wt=31): 11684 (x * (y * (((y \ z) \ 1) \ 1))) \ (1 / u) = y * (1 / ((u * (((x \ 1) \ 1) * z)) * y)). [para(65(a,1),11668(a,1,2,2,1,1)),flip(a)]. given #10812 (H,wt=35): 11669 (x \ (1 / y)) \ ((x \ 1) * (z * (((z \ u) \ 1) \ 1))) = (y * x) / (z * (1 / (((x \ 1) * u) * z))). [para(11667(a,1),9272(a,2,2))]. given #10813 (H,wt=31): 11687 (x * y) / (z * (1 / (((y \ 1) * u) * z))) = (y \ (1 / x)) \ (((u \ y) \ z) * (1 / z)). [para(9315(a,1),11669(a,1,2)),flip(a)]. given #10814 (H,wt=35): 11683 (x * ((1 / x) * K(y \ z,z \ y))) / (u * w) = x * (1 / ((u * (w * K(y \ z,z \ y))) * x)). [para(10800(a,1),11664(a,1,1,2))]. given #10815 (H,wt=36): 11670 (x * (((x \ (L(y \ 1,z,u) / x)) \ 1) \ 1)) \ y = x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)). [para(11243(a,1),11667(a,2,2,2))]. given #10816 (H,wt=34): 11688 x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (x * ((L(y \ 1,z,u) \ x) \ (1 / x))) \ y. [para(1845(a,1),11670(a,1,1,2)),flip(a)]. given #10817 (H,wt=32): 11689 x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (x * (x \ (L(1 / y,z,u) / x))) \ y. [para(4496(a,1),11688(a,2,1,2))]. given #10818 (H,wt=28): 11690 x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (L(1 / y,z,u) / x) \ y. [hyper(227,a,303,a(flip),b,11689,a)]. given #10819 (H,wt=26): 11692 x * (1 / L(y \ L(1 / y,z,u),x,x)) = (L(1 / y,z,u) / x) \ y. [para(1738(a,1),11690(a,1,2,2,1))]. given #10820 (H,wt=25): 11693 x * (x \ (x / (y \ L(1 / y,z,u)))) = (L(1 / y,z,u) / x) \ y. [para(1033(a,1),11692(a,1,2))]. given #10821 (H,wt=21): 11694 x / (y \ L(1 / y,z,u)) = (L(1 / y,z,u) / x) \ y. [hyper(205,a,11693,a),flip(a)]. given #10822 (H,wt=27): 11696 ((L(1 / x,y,z) / u) \ x) * (x \ 1) = (u * x) / (x * L(x \ 1,y,z)). [para(11694(a,1),10802(a,1,1))]. given #10823 (H,wt=23): 11697 (x * y) / (y * L(y \ 1,z,u)) = (L(1 / y,z,u) / x) \ 1. [hyper(312,a,11696,a),flip(a)]. given #10824 (H,wt=23): 11699 (x * y) / (y * L(y \ 1,z,u)) = x * (L(1 / y,z,u) \ 1). [hyper(227,a,125,a(flip),b,11697,a)]. given #10825 (H,wt=39): 9891 x * (1 / (((((1 / y) * z) * (x \ 1)) \ (1 / (z \ y))) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). [hyper(227,a,4376,a(flip),b,9889,a(flip))]. given #10826 (H,wt=39): 10358 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(10032(a,1),10142(a,2,2,2,1,1))]. given #10827 (H,wt=29): 11701 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(227,a,10332,a(flip),b,10358,a(flip)),flip(a)]. given #10828 (H,wt=27): 11702 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(10977,a,11701,a)]. given #10829 (H,wt=27): 11705 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10179(a,1),11702(a,2,2,2))]. given #10830 (H,wt=23): 11706 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11705(a,2,2,2,1))]. given #10831 (H,wt=19): 11707 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11706(a,2,2))]. given #10832 (H,wt=17): 11709 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(227,a,10318,a(flip),b,11707,a)]. given #10833 (H,wt=21): 11710 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(227,a,10978,a(flip),b,11709,a(flip))]. given #10834 (H,wt=39): 10816 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10814(a,1),10645(a,1,1,2,2))]. given #10835 (H,wt=39): 11633 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (y \ ((x \ 1) \ 1)) * (z * (y \ ((x \ 1) \ 1))). [para(1600(a,2),11631(a,1,1))]. given #10836 (H,wt=35): 11713 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = ((x \ 1) * y) \ (z / ((x \ 1) * y)). [hyper(227,a,2690,a(flip),b,11633,a)]. given #10837 (H,wt=39): 11634 ((((x \ y) \ 1) * (1 / z)) * (((1 / y) * x) \ 1)) \ K(u,w) = ((1 / (((1 / y) * x) * z)) \ (x \ y)) * K(u,w). [para(1130(a,1),8226(a,1,1,1))]. given #10838 (H,wt=35): 11714 ((((x \ y) \ 1) * (1 / z)) * (x \ y)) \ K(u,w) = ((1 / (((1 / y) * x) * z)) \ (x \ y)) * K(u,w). [para(250(a,1),11634(a,1,1,2))]. given #10839 (H,wt=33): 11715 ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = (1 / (((y \ x) \ z) * (y \ x))) \ K(u,w). [para(2072(a,1),11714(a,1,1)),flip(a)]. given #10840 (H,wt=33): 11716 ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (1 / ((x \ y) * z))) \ K(u,w). [para(11402(a,1),11715(a,2,1))]. given #10841 (H,wt=33): 11717 ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (z * (1 / (x \ y)))) * K(u,w). [hyper(227,a,6657,a(flip),b,11716,a)]. given #10842 (H,wt=33): 11718 ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (z * ((1 / y) * x))) * K(u,w). [para(313(a,1),11717(a,2,1,2,2))]. given #10843 (H,wt=33): 11719 ((((x \ (y \ z)) \ 1) \ 1) \ (y \ z)) * K(u,w) = ((z \ y) * (x * ((1 / y) * z))) * K(u,w). [para(1071(a,1),11718(a,1,1,1))]. given #10844 (H,wt=29): 11720 ((x \ y) * (z * ((1 / y) * x))) * K(u,w) = (((y \ x) \ z) * (y \ x)) * K(u,w). [para(1459(a,1),11719(a,1,1)),flip(a)]. given #10845 (H,wt=21): 11721 (x \ y) * (z * ((1 / y) * x)) = ((y \ x) \ z) * (y \ x). [hyper(9406,a,11720,a)]. given #10846 (H,wt=35): 11723 (((x / y) * z) \ x) * (1 * ((1 / x) * ((x / y) * z))) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). [para(1592(a,1),11721(a,2,1))]. given #10847 (H,wt=33): 11724 (((x / y) * z) \ x) * ((1 / x) * ((x / y) * z)) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). [para(11(a,1),11723(a,1,2))]. given #10848 (H,wt=31): 11725 K(x \ ((x / y) * z),((x / y) * z) \ x) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). [hyper(227,a,5081,a(flip),b,11724,a(flip)),flip(a)]. given #10849 (H,wt=31): 11726 K(x \ ((x / y) * z),x \ ((z / x) \ y)) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). [hyper(6324,a,11725,a)]. given #10850 (H,wt=31): 11727 K(x \ ((y / x) \ z),x \ ((x / z) * y)) = K(x \ ((x / z) * y),x \ ((y / x) \ z)). [hyper(227,a,4133,a,b,11726,a),flip(a)]. given #10851 (H,wt=35): 11728 K(x \ ((x / y) * z),x \ ((z / x) \ y)) / (x \ ((x / y) * z)) = T((x \ ((x / y) * z)) \ 1,1). [para(11727(a,1),4293(a,1,1))]. given #10852 (H,wt=39): 11637 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). [para(7399(a,1),8781(a,2,1))]. given #10853 (H,wt=35): 11729 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(227,a,7413,a(flip),b,11637,a)]. given #10854 (H,wt=39): 11643 (1 / (x * (1 / ((y \ (1 / z)) * x)))) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(3664(a,1),9231(a,1,1,2))]. given #10855 (H,wt=39): 11644 (x * (((x \ y) \ 1) \ 1)) \ ((1 / ((y \ x) * (1 / x))) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(2119(a,1),9464(a,1,1))]. given #10856 (H,wt=39): 11663 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * (1 / (1 / ((y \ x) / u)))) / z. [para(1131(a,1),11658(a,1,1,2,2)),flip(a)]. given #10857 (H,wt=39): 11700 x * (1 / (((((1 / y) * z) * (x \ 1)) \ ((1 / y) * z)) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). [para(313(a,1),9891(a,1,2,2,1,2))]. given #10858 (H,wt=39): 11712 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10807(a,1),10816(a,1,2,1,1))]. given #10859 (H,wt=23): 11734 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(227,a,10645,a(flip),b,11712,a(flip))]. given #10860 (H,wt=23): 11735 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(8718,a,11734,a),flip(a)]. given #10861 (H,wt=19): 11736 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7645,a,11735,a)]. given #10862 (H,wt=19): 11737 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8043,a,11736,a),flip(a)]. given #10863 (H,wt=28): 11738 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11737(a,1),9669(a,1,1))]. given #10864 (H,wt=23): 11739 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(227,a,9668,a(flip),b,11738,a(flip)),flip(a)]. given #10865 (H,wt=23): 11740 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11049,a,11739,a),flip(a)]. given #10866 (H,wt=22): 11741 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(227,a,9981,a(flip),b,11740,a(flip))]. given #10867 (H,wt=17): 11742 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11741(a,1,2,1)),flip(a)]. given #10868 (H,wt=17): 11744 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5214(a,1),11742(a,1,1)),flip(a)]. given #10869 (H,wt=19): 11745 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5399(a,1),11742(a,1,1)),flip(a)]. given #10870 (H,wt=19): 11747 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(227,a,8340,a,b,11745,a(flip)),flip(a)]. given #10871 (H,wt=27): 11746 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11130(a,1),11742(a,1,1))]. given #10872 (H,wt=23): 11748 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11744(a,1),11746(a,1,1)),flip(a)]. given #10873 (H,wt=29): 11743 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(518(a,1),11742(a,2,2,1))]. given #10874 (H,wt=29): 11749 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(8340(a,1),11743(a,1,1))]. given #10875 (H,wt=24): 11750 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(8406(a,1),11749(a,1,1))]. given #10876 (H,wt=24): 11751 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(227,a,6253,a(flip),b,11750,a)]. given #10877 (H,wt=19): 11753 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),11751(a,2,2,2))]. given #10878 (H,wt=39): 11730 ((((x \ (1 / y)) * z) \ 1) \ (1 / z)) * ((x \ (1 / y)) \ 1) = (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))). [para(1120(a,1),11643(a,1,1))]. given #10879 (H,wt=39): 11731 (x * (((x \ y) \ 1) \ 1)) \ (((x * (1 / (1 * x))) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(9262(a,1),11644(a,1,2,1))]. given #10880 (H,wt=37): 11755 (x * (((x \ y) \ 1) \ 1)) \ (((x * (1 / x)) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(11(a,1),11731(a,1,2,1,1,2,2))]. given #10881 (H,wt=37): 11756 (x * (((x \ y) \ 1) \ 1)) \ ((K(x,x \ 1) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(2255(a,2),11755(a,1,2,1,1))]. given #10882 (H,wt=37): 11757 (x * (((x \ y) \ 1) \ 1)) \ ((K(x,x \ 1) * y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(6479(a,1),11756(a,1,2,1))]. given #10883 (H,wt=37): 11758 (x * (((x \ y) \ 1) \ 1)) \ (K(x,x \ 1) * (y \ z)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(9195(a,1),11757(a,1,2))]. given #10884 (H,wt=37): 11759 K(x,x \ 1) * ((x * (((x \ y) \ 1) \ 1)) \ (y \ z)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [hyper(9159,a,11758,a)]. given #10885 (H,wt=37): 11760 K(x,x \ 1) * (x * (1 / ((((y \ z) \ 1) * y) * x))) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(11667(a,1),11759(a,1,2))]. given #10886 (H,wt=35): 11761 T(x,x \ 1) * (1 / ((((y \ z) \ 1) * y) * x)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [hyper(6182,a,11760,a)]. given #10887 (H,wt=31): 11762 ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = K(1,y \ 1) / (((x \ z) \ 1) * x). [hyper(227,a,9284,a(flip),b,11761,a(flip))]. given #10888 (H,wt=27): 11763 ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = 1 / (((x \ z) \ 1) * x). [para(147(a,1),11762(a,2,1))]. given #10889 (H,wt=27): 11764 ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = (x \ 1) * ((x \ 1) * z). [hyper(227,a,3406,a(flip),b,11763,a)]. given #10890 (H,wt=39): 11732 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * ((((y \ x) / u) \ 1) \ 1)) / z. [para(1058(a,1),11663(a,2,1,2))]. given #10891 (H,wt=39): 11733 x * (1 / ((((1 / y) * z) * ((x \ ((1 / y) * z)) \ 1)) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). [para(1220(a,1),11700(a,1,2,2,1))]. given #10892 (H,wt=39): 11754 ((x \ ((y \ (1 / z)) \ 1)) \ (1 / x)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(123(a,1),11730(a,1,1,1))]. given #10893 (H,wt=39): 11766 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * ((u * ((y \ x) \ 1)) \ 1)) / z. [para(125(a,1),11732(a,2,1,2,1))]. given #10894 (H,wt=39): 11767 x * (1 / ((((1 / y) * z) * ((z \ y) * ((x \ 1) \ 1))) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). [para(753(a,1),11733(a,1,2,2,1,2))]. given #10895 (H,wt=39): 11768 ((x \ (y * ((z \ 1) \ 1))) \ (1 / x)) * ((z \ (1 / y)) \ 1) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). [para(320(a,1),11754(a,1,1,1,2))]. given #10896 (H,wt=39): 11769 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * (((y \ x) \ 1) \ (u \ 1))) / z. [para(123(a,1),11766(a,2,1,2))]. given #10897 (H,wt=35): 11771 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (K(x \ y,y \ x) * (u \ 1)) / z. [para(4275(a,1),11769(a,2,1))]. given #10898 (H,wt=33): 11772 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (u \ K(y \ x,x \ y)) / z. [para(5675(a,1),11771(a,2,1))]. given #10899 (H,wt=39): 11770 (((x * ((y \ 1) \ 1)) \ z) * (1 / z)) * ((y \ (1 / x)) \ 1) = (y \ (1 / x)) * (1 / (y \ (z * (1 / (x * z))))). [para(1101(a,1),11768(a,1,1))]. given #10900 (H,wt=39): 11773 (x * (((x \ ((y \ 1) / z)) \ 1) \ 1)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(2121(a,1),11770(a,1,1))]. given #10901 (H,wt=39): 11774 (x * (((x \ (y \ (1 / z))) \ 1) \ 1)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(318(a,1),11773(a,1,1,2,1,1,2))]. given #10902 (H,wt=39): 11775 (x * (((x \ (y \ (1 / z))) \ 1) \ 1)) * (z * ((y \ 1) \ 1)) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(320(a,1),11774(a,1,2))]. given #10903 (H,wt=39): 11776 x * (1 / (((y * ((z \ 1) \ 1)) \ (1 / (z \ (1 / y)))) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). [hyper(227,a,9889,a(flip),b,11775,a(flip)),flip(a)]. given #10904 (H,wt=39): 11777 x * (1 / (((y * ((z \ 1) \ 1)) \ ((1 / (1 / y)) * z)) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). [para(313(a,1),11776(a,1,2,2,1,2))]. given #10905 (H,wt=39): 11778 x * (1 / (((y * ((z \ 1) \ 1)) \ (((y \ 1) \ 1) * z)) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). [para(1058(a,1),11777(a,1,2,2,1,2,1))]. given #10906 (H,wt=31): 11779 (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * (1 / (K(y \ x,x \ y) * z)). [para(9484(a,1),11778(a,1,2,2,1)),flip(a)]. given #10907 (H,wt=31): 11780 (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * ((1 / z) * K(x \ y,y \ x)). [para(6465(a,1),11779(a,2,2))]. given #10908 (H,wt=29): 11781 (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * (K(x \ y,y \ x) / z). [para(3455(a,1),11780(a,2,2))]. given #10909 (H,wt=29): 11782 (x \ (1 / y)) * ((1 / (z * (1 / (y * z)))) * x) = z * (K(x \ y,y \ x) / z). [para(313(a,1),11781(a,1,2))]. given #10910 (H,wt=29): 11783 (x \ (1 / y)) * ((((y * z) \ 1) \ (1 / z)) * x) = z * (K(x \ y,y \ x) / z). [para(1120(a,1),11782(a,1,2,1))]. given #10911 (H,wt=29): 11784 (x \ (1 / y)) * (((z \ (y \ 1)) \ (1 / z)) * x) = z * (K(x \ y,y \ x) / z). [para(123(a,1),11783(a,1,2,1,1))]. given #10912 (H,wt=29): 11785 (x \ (1 / y)) * ((((y \ 1) \ z) * (1 / z)) * x) = z * (K(x \ y,y \ x) / z). [para(1101(a,1),11784(a,1,2,1))]. given #10913 (H,wt=29): 11786 (x \ (1 / y)) * ((z * (((z \ y) \ 1) \ 1)) * x) = z * (K(x \ y,y \ x) / z). [para(2119(a,1),11785(a,1,2,1))]. given #10914 (H,wt=29): 11787 (x \ (1 / y)) * (z * (1 / ((x \ (1 / y)) * z))) = z * (K(x \ y,y \ x) / z). [para(9889(a,1),11786(a,1,2))]. given #10915 (H,wt=27): 11788 K(x \ (y \ (1 / z)),(y \ (1 / z)) \ x) = x * (K(y \ z,z \ y) / x). [hyper(8598,a,11787,a)]. given #10916 (H,wt=27): 11789 K((x * y) * z,((y \ (1 / x)) \ z) \ 1) = z * (K(y \ x,x \ y) / z). [hyper(9440,a,11788,a)]. given #10917 (H,wt=25): 11790 K((x * y) * z,z \ (y \ (1 / x))) = z * (K(y \ x,x \ y) / z). [hyper(6207,a,11789,a)]. given #10918 (H,wt=25): 11791 K((x * y) * z,z \ (y \ (x \ 1))) = z * (K(y \ x,x \ y) / z). [hyper(227,a,9162,a(flip),b,11790,a(flip)),flip(a)]. given #10919 (H,wt=40): 4874 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(3613(a,1),4861(a,2,2))]. given #10920 (H,wt=36): 11792 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(65(a,1),4874(a,1,1,2))]. given #10921 (H,wt=36): 11793 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(40(a,2),11792(a,1,1))]. given #10922 (H,wt=35): 11794 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3608(a,1),11793(a,1,1))]. given #10923 (H,wt=31): 11795 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(65(a,1),11794(a,1,2,2,2))]. given #10924 (H,wt=31): 11796 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11795(a,1,2,2))]. given #10925 (H,wt=30): 11797 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3608(a,1),11796(a,1,2,2))]. given #10926 (H,wt=22): 11798 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11797(a,1,2))]. given #10927 (H,wt=25): 11800 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11798(a,1),10782(a,1,1)),flip(a)]. given #10928 (H,wt=25): 11801 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11800(a,1),65(a,1,1))]. given #10929 (H,wt=22): 11802 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(227,a,3901,a(flip),b,11801,a(flip)),flip(a)]. given #10930 (H,wt=40): 5175 (T(a(x,y,z),(y * z) \ (x \ 1)) / ((x * y) * z)) / ((y * z) \ (x \ 1)) = K((x * y) * z,(y * z) \ (x \ 1)). [para(2876(a,1),4988(a,2,1,1)),flip(a)]. given #10931 (H,wt=40): 7950 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7948(a,1),5048(a,1,1,1))]. given #10932 (H,wt=40): 8463 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(8459(a,1),2372(a,1,2,2)),flip(a)]. given #10933 (H,wt=40): 8516 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(7887(a,1),479(a,1,1,1))]. given #10934 (H,wt=40): 8720 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(7194(a,2),8687(a,2,2))]. given #10935 (H,wt=40): 9296 (((T(x,x \ 1) / y) / z) / T(x,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,T(x,x \ 1),T(x,x \ 1)). [para(190(a,1),9295(a,1,1,1)),flip(a)]. given #10936 (H,wt=32): 11806 (((T(x,x \ 1) / y) / z) / T(x,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). [para(8577(a,1),9296(a,2,2))]. given #10937 (H,wt=32): 11807 (x \ T((T(x,x \ 1) / y) / z,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). [para(4367(a,1),11806(a,1,1))]. given #10938 (H,wt=32): 11809 (T((T(x,x \ 1) / y) / z,x \ 1) \ x) * T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). [hyper(227,a,8561,a(flip),b,11807,a(flip)),flip(a)]. given #10939 (H,wt=32): 11810 T((x \ 1) \ (T((T(x,x \ 1) / y) / z,x \ 1) \ x),x) = ((x \ 1) \ z) * L(y,x,x). [hyper(227,a,1519,a,b,11809,a(flip)),flip(a)]. given #10940 (H,wt=32): 11811 T(x * ((T((T(x,x \ 1) / y) / z,x \ 1) \ 1) * x),x) = ((x \ 1) \ z) * L(y,x,x). [para(3857(a,1),11810(a,1,1))]. given #10941 (H,wt=28): 11812 T(x * (x * (((T(x,x \ 1) / y) / z) \ 1)),x) = ((x \ 1) \ z) * L(y,x,x). [para(1573(a,1),11811(a,1,1,2))]. given #10942 (H,wt=28): 11813 T(x * (x * (y * ((T(x,x \ 1) / z) \ 1))),x) = ((x \ 1) \ y) * L(z,x,x). [para(125(a,1),11812(a,1,1,2,2))]. given #10943 (H,wt=28): 11814 T(x * (x * (y * (z * (T(x,x \ 1) \ 1)))),x) = ((x \ 1) \ y) * L(z,x,x). [para(125(a,1),11813(a,1,1,2,2,2))]. given #10944 (H,wt=24): 11815 T(x * (x * (y * (z * (1 / x)))),x) = ((x \ 1) \ y) * L(z,x,x). [para(1054(a,1),11814(a,1,1,2,2,2,2))]. given #10945 (H,wt=22): 11816 T(T((x * y) * z,x \ 1),x) = ((x \ 1) \ y) * L(z,x,x). [para(9445(a,1),11815(a,1,1))]. given #10946 (H,wt=22): 11817 T(T((x * y) * z,x),x \ 1) = ((x \ 1) \ y) * L(z,x,x). [hyper(439,a,11816,a)]. given #10947 (H,wt=19): 11818 ((x \ 1) \ y) \ L((x * y) * z,x,x) = L(z,x,x). [hyper(72,a,1023,a(flip),b,11817,a(flip))]. given #10948 (H,wt=21): 11819 L(x,K(y,z) * (u \ 1),K(y,z) * (u \ 1)) = L(x,u,u). [hyper(227,a,11278,a(flip),b,11818,a(flip)),flip(a)]. given #10949 (H,wt=17): 11821 L(x,K(y,z) \ u,K(y,z) \ u) = L(x,u,u). [hyper(227,a,10494,a(flip),b,11819,a(flip)),flip(a)]. given #10950 (H,wt=17): 11822 L(x,K(y,z) * u,K(z,y) \ u) = L(x,u,u). [para(6443(a,1),11821(a,1,2))]. given #10951 (H,wt=17): 11823 L(x,K(y,z) * u,K(y,z) * u) = L(x,u,u). [para(6443(a,1),11822(a,1,3))]. given #10952 (H,wt=40): 9776 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(9775(a,1),3810(a,1,1,2))]. given #10953 (H,wt=38): 11824 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(12(a,1),9776(a,1,1)),flip(a)]. given #10954 (H,wt=36): 11825 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(6719(a,1),11824(a,2,3))]. given #10955 (H,wt=34): 11826 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(6719(a,1),11825(a,1,1))]. given #10956 (H,wt=34): 11827 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(10201(a,1),11826(a,1,2))]. given #10957 (H,wt=34): 11828 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(227,a,11196,a(flip),b,11827,a(flip)),flip(a)]. given #10958 (H,wt=26): 11829 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(6444(a,1),11828(a,1,2)),flip(a)]. given #10959 (H,wt=18): 11830 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(227,a,6444,a(flip),b,11829,a)]. given #10960 (H,wt=40): 9824 L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * ((y \ ((y * z) * u)) * (y \ 1)). [para(1882(a,1),9819(a,1,1,2)),flip(a)]. given #10961 (H,wt=38): 11833 L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * (y \ (((y * z) * u) / y)). [para(1257(a,1),9824(a,2,2))]. given #10962 (H,wt=36): 11834 L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * (z * (u * (y \ 1))). [para(1875(a,1),11833(a,2,2))]. given #10963 (H,wt=33): 11835 L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = L(x,(y / u) \ z,(y / u) \ z). [hyper(227,a,9823,a(flip),b,11834,a)]. given #10964 (H,wt=40): 9828 L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (((z \ 1) \ 1) \ 1)) \ ((((z \ 1) \ 1) / y) \ x). [para(2175(a,2),9820(a,2,2)),flip(a)]. given #10965 (H,wt=36): 11836 L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (1 / z)) \ ((((z \ 1) \ 1) / y) \ x). [para(1057(a,1),9828(a,2,1,2))]. given #10966 (H,wt=36): 11837 L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (1 / z)) \ (((z \ 1) \ (1 / y)) \ x). [para(318(a,1),11836(a,2,2,1))]. given #10967 (H,wt=33): 11838 L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = L(x,y * (1 / z),y * (1 / z)). [hyper(227,a,1372,a(flip),b,11837,a)]. given #10968 (H,wt=29): 11839 L(x,y \ ((z \ 1) \ 1),y \ ((z \ 1) \ 1)) = L(x,y * (1 / z),y * (1 / z)). [para(2175(a,1),11838(a,1,2))]. given #10969 (H,wt=25): 11840 L(x,(y \ 1) * z,(y \ 1) * z) = L(x,z * (1 / y),z * (1 / y)). [hyper(9831,a,11839,a)]. given #10970 (H,wt=40): 9829 L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = ((y * (z \ u)) * (K(u,z) \ 1)) \ (((z / u) / y) \ x). [para(8852(a,1),9820(a,1,2,1)),flip(a)]. given #10971 (H,wt=38): 11841 L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = ((y * (z \ u)) * K(z,u)) \ (((z / u) / y) \ x). [para(5084(a,1),9829(a,2,1,2))]. given #10972 (H,wt=36): 11842 L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = (y * (u * (z \ 1))) \ (((z / u) / y) \ x). [para(8192(a,1),11841(a,2,1))]. given #10973 (H,wt=33): 11843 L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = L(x,y \ (z / u),y \ (z / u)). [hyper(227,a,9826,a(flip),b,11842,a)]. given #10974 (H,wt=33): 11844 L(x,K(y,z) * (u * (y \ z)),K(y,z) * (u * (y \ z))) = L(x,u \ (y / z),u \ (y / z)). [hyper(227,a,9942,a(flip),b,11843,a(flip)),flip(a)]. given #10975 (H,wt=25): 11845 L(x,y \ (z / u),y \ (z / u)) = L(x,y * (z \ u),y * (z \ u)). [hyper(227,a,11823,a(flip),b,11844,a(flip))]. given #10976 (H,wt=25): 11848 L(x,(y / z) \ u,(y / z) \ u) = L(x,u * (y \ z),u * (y \ z)). [hyper(227,a,9830,a,b,11845,a(flip)),flip(a)]. given #10977 (H,wt=38): 11847 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,(u \ 1) * (y \ z),(u \ 1) * (y \ z)). [hyper(227,a,11581,a,b,11845,a(flip)),flip(a)]. given #10978 (H,wt=40): 9958 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [hyper(420,a,9957,a(flip),b,100,a),flip(a)]. given #10979 (H,wt=35): 11849 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6103(a,1),9958(a,1,1)),flip(a)]. given #10980 (H,wt=30): 11850 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(227,a,6436,a(flip),b,11849,a)]. given #10981 (H,wt=28): 11852 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(227,a,5795,a(flip),b,11850,a)]. given #10982 (H,wt=23): 11853 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(227,a,11396,a(flip),b,11852,a(flip)),flip(a)]. given #10983 (H,wt=21): 11854 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(227,a,7097,a(flip),b,11853,a(flip)),flip(a)]. given #10984 (H,wt=19): 11856 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(227,a,11379,a(flip),b,11854,a)]. given #10985 (H,wt=17): 11857 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11856(a,1),5024(a,1,1))]. given #10986 (H,wt=22): 11858 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11856(a,1),5161(a,1,1))]. given #10987 (H,wt=21): 11859 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(227,a,11579,a(flip),b,11858,a)]. given #10988 (H,wt=40): 10940 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(10939(a,1),8822(a,1,2,2))]. given #10989 (H,wt=29): 11860 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(227,a,7439,a(flip),b,10940,a(flip))]. given #10990 (H,wt=29): 11861 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7430,a,11860,a)]. given #10991 (H,wt=27): 11863 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8163(a,1),11861(a,1,2))]. given #10992 (H,wt=23): 11864 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(227,a,8091,a(flip),b,11863,a(flip)),flip(a)]. given #10993 (H,wt=40): 11010 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7399(a,1),11008(a,1,1,1,2,1))]. given #10994 (H,wt=40): 11601 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(227,a,8767,a,b,11599,a),flip(a)]. given #10995 (H,wt=38): 11866 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(5671(a,1),11601(a,1,1,2))]. given #10996 (H,wt=36): 11867 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(714(a,1),11866(a,1,1))]. given #10997 (H,wt=34): 11868 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(177(a,1),11867(a,1,2)),flip(a)]. given #10998 (H,wt=27): 11869 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(227,a,2338,a(flip),b,11868,a)]. given #10999 (H,wt=27): 11870 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(42(a,2),11869(a,2,3))]. given #11000 (H,wt=27): 11871 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(11600,a,11870,a)]. given #11001 (H,wt=23): 11872 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(10467,a,11871,a)]. given #11002 (H,wt=21): 11874 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(227,a,11710,a(flip),b,11872,a(flip))]. given #11003 (H,wt=27): 11876 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(227,a,11276,a,b,11874,a(flip)),flip(a)]. given #11004 (H,wt=25): 11877 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9524,a,11876,a)]. given #11005 (H,wt=28): 11878 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11877(a,1),11187(a,1,2)),flip(a)]. given #11006 (H,wt=26): 11879 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(32(a,2),11878(a,2,2,2))]. given #11007 (H,wt=24): 11880 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10407(a,1),11879(a,2,2))]. given #11008 (H,wt=25): 11881 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(227,a,11417,a(flip),b,11880,a(flip)),flip(a)]. given #11009 (H,wt=22): 11882 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(354(a,1),11881(a,1,2,3))]. given #11010 (H,wt=18): 11883 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10227,a,11882,a)]. given #11011 (H,wt=17): 11884 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11422,a,11883,a)]. given #11012 (H,wt=17): 11886 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),11884(a,1,2)),flip(a)]. given #11013 (H,wt=19): 11887 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(11886(a,1),10321(a,1,2)),flip(a)]. given #11014 (H,wt=22): 11885 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(227,a,11877,a(flip),b,11883,a(flip))]. given #11015 (H,wt=22): 11890 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(11885(a,1),10409(a,1,1))]. given #11016 (H,wt=22): 11891 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(227,a,10395,a(flip),b,11890,a(flip)),flip(a)]. given #11017 (H,wt=23): 11888 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(11886(a,1),10333(a,1,2)),flip(a)]. given #11018 (H,wt=29): 11889 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(227,a,10426,a(flip),b,11887,a(flip))]. given #11019 (H,wt=25): 11892 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(9726(a,1),11889(a,1,2,1)),flip(a)]. given #11020 (H,wt=25): 11893 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(227,a,11888,a,b,11892,a)]. given #11021 (H,wt=36): 11895 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(11893(a,1),11420(a,2,1,1))]. given #11022 (H,wt=40): 11803 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7441(a,1),7950(a,1,1,2))]. given #11023 (H,wt=36): 11896 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(7687(a,1),11803(a,1,1)),flip(a)]. given #11024 (H,wt=36): 11897 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(6555(a,2),11896(a,2,2))]. given #11025 (H,wt=36): 11898 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(227,a,6602,a(flip),b,11897,a)]. given #11026 (H,wt=36): 11899 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(7443(a,1),11898(a,1,1))]. given #11027 (H,wt=23): 11900 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(227,a,5947,a(flip),b,11899,a(flip))]. given #11028 (H,wt=40): 11804 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6497(a,1),8463(a,2,2,2))]. given #11029 (H,wt=40): 11805 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(6443(a,1),8720(a,1,1,2,2))]. given #11030 (H,wt=36): 11903 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5814(a,1),11805(a,1,1,2))]. given #11031 (H,wt=32): 11904 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10475(a,1),11903(a,1,2))]. given #11032 (H,wt=30): 11905 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8481(a,1),11904(a,1,2))]. given #11033 (H,wt=30): 11907 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(6443(a,1),11905(a,2,2,1,1))]. given #11034 (H,wt=26): 11908 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7490(a,1),11907(a,2,2,1))]. given #11035 (H,wt=26): 11909 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7397(a,2),11908(a,2,2))]. given #11036 (H,wt=22): 11910 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11909(a,2,2,1))]. given #11037 (H,wt=40): 11865 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8602(a,1),11010(a,1,1,1,2))]. given #11038 (H,wt=38): 11912 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11534(a,1),11865(a,1,1,1))]. given #11039 (H,wt=40): 11902 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10188(a,1),11804(a,2,2))]. given #11040 (H,wt=36): 11913 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(7827(a,1),11902(a,2,2))]. given #11041 (H,wt=36): 11914 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(227,a,6684,a(flip),b,11913,a)]. given #11042 (H,wt=36): 11915 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(7442(a,1),11914(a,2,1))]. given #11043 (H,wt=32): 11916 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(7721(a,1),11915(a,2,2))]. given #11044 (H,wt=30): 11917 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(227,a,11512,a(flip),b,11916,a)]. given #11045 (H,wt=30): 11919 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6497(a,1),11917(a,1,2,1))]. given #11046 (H,wt=23): 11920 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(8459(a,1),11919(a,1,2))]. given #11047 (H,wt=29): 11922 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(11920(a,1),11190(a,1,2))]. given #11048 (H,wt=27): 11923 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(227,a,8322,a,b,11922,a(flip)),flip(a)]. given #11049 (H,wt=23): 11924 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(9782(a,1),11923(a,1,1))]. given #11050 (H,wt=21): 11925 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(227,a,10289,a(flip),b,11924,a(flip))]. given #11051 (H,wt=25): 11926 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(11925(a,1),10207(a,1,1)),flip(a)]. given #11052 (H,wt=32): 11927 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(227,a,10917,a(flip),b,11926,a(flip))]. given #11053 (H,wt=25): 11928 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10640(a,1),11927(a,1,1)),flip(a)]. given #11054 (H,wt=30): 11930 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(11928(a,1),11895(a,2,1))]. given #11055 (H,wt=28): 11931 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11886(a,1),11930(a,2,1,1))]. given #11056 (H,wt=26): 11933 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8131(a,1),11931(a,1,1,1))]. given #11057 (H,wt=26): 11935 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10316(a,1),11933(a,1,1))]. given #11058 (H,wt=20): 11936 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(8951(a,1),11935(a,1,1)),flip(a)]. given #11059 (H,wt=27): 11938 (R(a(x,y,x),z,u) * z) * u != w * v5 | w \ ((z * a(x,y,x)) * u) = v5. [para(11936(a,2),457(a,1))]. given #11060 (H,wt=28): 11937 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(72,a,11936,a(flip),b,826,a)]. given #11061 (H,wt=19): 11939 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11036,a,11937,a),flip(a)]. given #11062 (H,wt=17): 11940 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10215(a,1),11939(a,2,2))]. given #11063 (H,wt=12): 11941 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(227,a,10221,a(flip),b,11940,a)]. given #11064 (H,wt=12): 11944 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,11941,a)]. given #11065 (H,wt=31): 11945 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(11944(a,1),11095(a,1,2))]. given #11066 (H,wt=23): 11946 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10286(a,1),11945(a,1,1,2,1))]. given #11067 (H,wt=16): 11947 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(507,a,11946,a),flip(a)]. given #11068 (H,wt=12): 11948 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,10212,a(flip),b,11947,a)]. given #11069 (H,wt=9): 11956 L(x,y,a(z,u,z)) = x. [para(11948(a,1),11944(a,1,3))]. given #11070 (H,wt=12): 11951 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(227,a,11884,a(flip),b,11948,a(flip)),flip(a)]. given #11071 (H,wt=12): 11954 L(a(x,y,x),z,u) = a(x,y,x). [para(11948(a,1),10099(a,1,1))]. given #11072 (H,wt=14): 11957 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(1167,a,11956,a)]. given #11073 (H,wt=14): 11958 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(227,a,10213,a,b,11956,a),flip(a)]. given #11074 (H,wt=12): 11968 L(x,y,a(z,u,z)) != w | w = x. [para(11958(a,1),10225(a,1))]. given #11075 (H,wt=14): 11967 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(10243(a,1),11957(a,1,3))]. given #11076 (H,wt=16): 11952 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(227,a,10360,a(flip),b,11948,a(flip))]. given #11077 (H,wt=16): 11969 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(8907(a,2),11967(a,1,2))]. given #11078 (H,wt=17): 11953 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(11948(a,1),109(a,1,1)),flip(a)]. given #11079 (H,wt=17): 11959 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(11956(a,1),523(a,1,2))]. given #11080 (H,wt=17): 11966 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(11954(a,1),100(a,1,2))]. given #11081 (H,wt=9): 11977 R(x,y,a(z,u,z)) = x. [hyper(10779,a,11966,a)]. given #11082 (H,wt=17): 11976 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(10212(a,1),11953(a,1,1))]. given #11083 (H,wt=17): 11979 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(227,a,10297,a(flip),b,11976,a)]. given #11084 (H,wt=18): 11978 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(10402,a,11977,a)]. given #11085 (H,wt=12): 11980 T(x,y * a(z,u,z)) = T(x,y). [hyper(11968,a,11978,a)]. given #11086 (H,wt=12): 11984 T(x,a(y,z,y) \ u) = T(x,u). [para(10219(a,1),11980(a,1,2)),flip(a)]. given #11087 (H,wt=14): 11985 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(227,a,4996,a(flip),b,11984,a)]. given #11088 (H,wt=12): 11986 K(x,a(y,z,y) \ u) = K(x,u). [hyper(5047,a,11985,a)]. given #11089 (H,wt=12): 11987 K(x,a(y,z,y) * u) = K(x,u). [para(13(a,1),11986(a,1,2)),flip(a)]. given #11090 (H,wt=12): 11988 K(x,y * a(z,u,z)) = K(x,y). [para(10212(a,1),11987(a,1,2))]. given #11091 (H,wt=14): 11989 K(x,y * R(z,u,z)) = K(x,y * z). [para(10249(a,1),11987(a,1,2))]. given #11092 (H,wt=15): 11981 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(11978(a,1),11968(a,1)),flip(b)]. given #11093 (H,wt=17): 11991 K(x,K(y,y * z) * u) = K(x,K(y,z) * u). [para(10210(a,1),11987(a,1,2)),flip(a)]. given #11094 (H,wt=17): 11992 K(x,y * (K(z * u,z) * K(z,u))) = K(x,y). [para(8909(a,2),11988(a,1,2,2))]. given #11095 (H,wt=17): 11993 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(2558(a,1),11989(a,1,2,2)),flip(a)]. given #11096 (H,wt=17): 11994 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(7144(a,1),11989(a,1,2,2))]. given #11097 (H,wt=17): 11995 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [para(5340(a,2),11991(a,1,2,1))]. given #11098 (H,wt=17): 11997 K(x,(y * K(z * u,z)) * K(z,u)) = K(x,y). [para(8434(a,2),11992(a,1,2))]. given #11099 (H,wt=17): 12000 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(5338(a,1),11995(a,1,2,1)),flip(a)]. given #11100 (H,wt=17): 12002 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(6496(a,1),11997(a,1,2,1)),flip(a)]. given #11101 (H,wt=17): 12003 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(5340(a,2),12002(a,1,2,2))]. given #11102 (H,wt=19): 11963 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(11951(a,1),11891(a,1,2)),flip(a)]. given #11103 (H,wt=14): 12005 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(227,a,8937,a(flip),b,11963,a)]. given #11104 (H,wt=19): 11996 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(5911(a,1),11991(a,1,2,1))]. given #11105 (H,wt=17): 12008 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(227,a,12000,a(flip),b,11996,a(flip))]. given #11106 (H,wt=19): 11998 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(227,a,4958,a(flip),b,11993,a)]. given #11107 (H,wt=19): 12004 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(12003(a,1),5101(a,1,2)),flip(a)]. given #11108 (H,wt=17): 12011 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(227,a,5101,a(flip),b,12004,a)]. given #11109 (H,wt=20): 11972 a(x,y,x) * (z * u) != (a(x,y,x) * z) * w | w = u. [para(11953(a,1),19(a,2)),flip(a)]. given #11110 (H,wt=20): 12007 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10398,a,12005,a),flip(a)]. given #11111 (H,wt=16): 12013 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(227,a,11041,a(flip),b,12007,a(flip)),flip(a)]. given #11112 (H,wt=14): 12014 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(8749,a,12013,a)]. given #11113 (H,wt=18): 12016 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(227,a,10944,a(flip),b,12014,a(flip)),flip(a)]. given #11114 (H,wt=18): 12018 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(227,a,5946,a(flip),b,12016,a)]. given #11115 (H,wt=19): 12019 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(227,a,9654,a(flip),b,12018,a(flip)),flip(a)]. given #11116 (H,wt=19): 12021 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [hyper(227,a,10415,a(flip),b,12019,a(flip))]. given #11117 (H,wt=19): 12022 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(15(a,1),12021(a,1,2,2,2,1)),flip(a)]. given #11118 (H,wt=20): 12010 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(11998(a,2),5049(a,1))]. given #11119 (H,wt=24): 11950 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(227,a,499,a,b,11948,a(flip)),flip(a)]. given #11120 (H,wt=25): 11971 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5447(a,1),11952(a,1,2)),flip(a)]. given #11121 (H,wt=25): 12009 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(6673(a,1),12008(a,1,2))]. given #11122 (H,wt=26): 12012 K(x * K(x \ y,z),T(u,y)) != w | K(((z * (y \ x)) / z) * y,u) = w. [para(12011(a,1),8307(a,1))]. given #11123 (H,wt=27): 12024 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10231(a,1),11950(a,1,1,1))]. given #11124 (H,wt=24): 12026 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(109(a,1),12024(a,1,1))]. given #11125 (H,wt=24): 12027 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(11979(a,1),12026(a,1,1,1))]. given #11126 (H,wt=26): 12028 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),12027(a,1,2,1))]. given #11127 (H,wt=22): 12029 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(10298(a,1),12028(a,1,1,1)),flip(a)]. given #11128 (H,wt=17): 12030 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(227,a,30,a,b,12029,a)]. given #11129 (H,wt=17): 12031 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),12030(a,1,2,2)),flip(a)]. given #11130 (H,wt=12): 12032 a(x,R(y,z,u),x) = a(x,y,x). [hyper(227,a,11948,a(flip),b,12031,a(flip))]. given #11131 (H,wt=18): 12035 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12032(a,1),8941(a,1,1)),flip(a)]. given #11132 (H,wt=16): 12037 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(227,a,8941,a(flip),b,12035,a)]. given #11133 (H,wt=20): 12034 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12032(a,1),8925(a,1,1))]. given #11134 (H,wt=18): 12038 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10255,a,12034,a)]. given #11135 (H,wt=23): 12036 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12032(a,1),10681(a,2,2,1))]. given #11136 (H,wt=17): 12040 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(227,a,10237,a(flip),b,12036,a)]. given #11137 (H,wt=27): 12039 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12038(a,2),1940(a,1,1))]. given #11138 (H,wt=20): 12042 L(T(x,R(y,z,u)),y,T(x,w)) = T(x,x * R(y,z,u)). [hyper(227,a,10294,a,b,12039,a(flip)),flip(a)]. given #11139 (H,wt=28): 12001 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(11995(a,1),9010(a,1,1))]. given #11140 (H,wt=23): 12043 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9558,a,12001,a),flip(a)]. given #11141 (H,wt=21): 12044 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(5595(a,1),12043(a,1,2,1))]. given #11142 (H,wt=29): 11974 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(11953(a,1),28(a,2,1)),flip(a)]. given #11143 (H,wt=29): 12023 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(12022(a,1),7947(a,1,2))]. given #11144 (H,wt=27): 12047 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(8705(a,1),12023(a,1,1))]. given #11145 (H,wt=19): 12048 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(227,a,8614,a(flip),b,12047,a(flip))]. given #11146 (H,wt=22): 12049 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(11000,a,12048,a),flip(a)]. given #11147 (H,wt=17): 12050 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(227,a,6262,a(flip),b,12049,a(flip))]. given #11148 (H,wt=25): 12051 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(227,a,11565,a(flip),b,12050,a(flip))]. given #11149 (H,wt=21): 12052 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(227,a,11748,a(flip),b,12051,a(flip)),flip(a)]. given #11150 (H,wt=13): 12053 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5860(a,1),12052(a,1,1))]. given #11151 (H,wt=20): 12055 R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(12053(a,2),7466(a,1))]. given #11152 (H,wt=20): 12056 K(x,R(K(y,z),u,w)) != v5 | K(x,K(z,R(y,u,w))) = v5. [para(12053(a,2),7473(a,1,2))]. given #11153 (H,wt=23): 12057 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12053(a,1),9765(a,1,1,1,2))]. given #11154 (H,wt=23): 12058 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11551,a,12057,a)]. given #11155 (H,wt=13): 12059 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(154,a,12058,a),flip(a)]. given #11156 (H,wt=13): 12061 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(227,a,12053,a(flip),b,12059,a(flip)),flip(a)]. given #11157 (H,wt=13): 12065 R(K(x,y),x,z) != u | K(x,y) = u. [para(12059(a,2),11024(a,1))]. given #11158 (H,wt=16): 12060 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12058(a,1),154(a,1))]. given #11159 (H,wt=16): 12071 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12053(a,1),12060(a,1))]. given #11160 (H,wt=19): 12062 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(227,a,11753,a(flip),b,12059,a(flip))]. given #11161 (H,wt=20): 12070 R(K(x,K(y,z)),u,w) != v5 | K(y,R(K(x,z),u,w)) = v5. [para(7428(a,1),12060(a,1,1))]. given #11162 (H,wt=22): 12068 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(9655,a,12061,a),flip(a)]. given #11163 (H,wt=22): 12072 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12071,a,12068,a)]. given #11164 (H,wt=29): 12046 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(11953(a,1),11974(a,1,2))]. given #11165 (H,wt=22): 12073 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(1158,a,12046,a)]. given #11166 (H,wt=14): 12074 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(11968,a,12073,a)]. given #11167 (H,wt=14): 12076 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(14(a,1),12074(a,1,3)),flip(a)]. given #11168 (H,wt=12): 12080 L(x,y,L(z,u,z)) = L(x,y,z). [para(8947(a,1),12076(a,1,3))]. given #11169 (H,wt=12): 12081 L(x,y,L(z,u,u)) = L(x,y,z). [para(5525(a,2),12080(a,1,3))]. given #11170 (H,wt=15): 12077 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(8925(a,1),12074(a,1,3))]. given #11171 (H,wt=15): 12078 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(8927(a,1),12074(a,1,3))]. given #11172 (H,wt=15): 12079 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(8935(a,1),12074(a,1,3))]. given #11173 (H,wt=15): 12082 L(x,y,(z \ 1) \ u) = L(x,y,z * u). [para(1348(a,1),12081(a,1,3))]. given #11174 (H,wt=15): 12083 L(x,y,T(z,z * u)) = L(x,y,T(z,u)). [para(1567(a,2),12081(a,1,3))]. given #11175 (H,wt=15): 12084 L(x,y,(z \ 1) * u) = L(x,y,z \ u). [para(1201(a,1),12077(a,1,3)),flip(a)]. given #11176 (H,wt=15): 12085 L(x,y,(1 / z) \ u) = L(x,y,z * u). [para(1209(a,1),12077(a,1,3))]. given #11177 (H,wt=15): 12086 L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). [para(14(a,1),12083(a,1,3,2)),flip(a)]. given #11178 (H,wt=15): 12088 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [hyper(227,a,3311,a(flip),b,12086,a(flip)),flip(a)]. given #11179 (H,wt=23): 12087 L(x,y,(((1 / z) * u) * w) \ v5) = L(x,y,(w \ (u \ z)) * v5). [para(314(a,1),12084(a,1,3,1)),flip(a)]. given #11180 (H,wt=30): 11960 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(11956(a,1),467(a,1,2,1)),flip(a)]. given #11181 (H,wt=30): 12089 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(11953(a,1),11960(a,2,1))]. given #11182 (H,wt=30): 12090 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(227,a,11959,a(flip),b,12089,a)]. given #11183 (H,wt=25): 12091 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(30(a,2),12090(a,2,2))]. given #11184 (H,wt=19): 12092 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(11956(a,1),12091(a,1,2))]. given #11185 (H,wt=31): 11973 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(11953(a,1),24(a,2,1)),flip(a)]. given #11186 (H,wt=31): 12025 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(227,a,11277,a(flip),b,11971,a(flip)),flip(a)]. given #11187 (H,wt=30): 12094 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5163(a,1),12025(a,2,2))]. given #11188 (H,wt=25): 12095 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(8932,a,12094,a)]. given #11189 (H,wt=22): 12096 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(11954(a,1),12095(a,1,1))]. given #11190 (H,wt=22): 12097 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(227,a,10672,a(flip),b,12096,a)]. given #11191 (H,wt=17): 12099 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),12097(a,2,2))]. given #11192 (H,wt=12): 12100 a(x,L(y,z,u),x) = a(x,y,x). [hyper(227,a,11954,a(flip),b,12099,a(flip))]. given #11193 (H,wt=14): 12104 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12100(a,1),8912(a,1,2)),flip(a)]. given #11194 (H,wt=12): 12105 R(x,L(y,z,u),x) = R(x,y,x). [hyper(227,a,8912,a(flip),b,12104,a)]. given #11195 (H,wt=17): 12102 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(219(a,1),12100(a,1,2))]. given #11196 (H,wt=17): 12103 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(2858(a,2),12100(a,1,2)),flip(a)]. given #11197 (H,wt=19): 12107 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(12103(a,1),8947(a,1,1)),flip(a)]. given #11198 (H,wt=17): 12108 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(227,a,8947,a(flip),b,12107,a)]. given #11199 (H,wt=31): 12093 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(11953(a,1),11973(a,1,2,1))]. given #11200 (H,wt=31): 12109 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(11953(a,1),12093(a,1,2))]. given #11201 (H,wt=24): 12110 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(1160,a,12109,a)]. given #11202 (H,wt=14): 12111 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(11968,a,12110,a)]. given #11203 (H,wt=14): 12113 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),12111(a,1,1)),flip(a)]. given #11204 (H,wt=14): 12115 a(x / a(y,z,y),u,w) = a(x,u,w). [para(10220(a,2),12113(a,1,1))]. given #11205 (H,wt=15): 12114 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(8927(a,1),12111(a,1,1))]. given #11206 (H,wt=15): 12116 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(14(a,1),12114(a,1,1,1)),flip(a)]. given #11207 (H,wt=15): 12117 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(5335(a,1),12114(a,1,1))]. given #11208 (H,wt=15): 12118 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(4220(a,1),12117(a,1,1)),flip(a)]. given #11209 (H,wt=21): 12119 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12061(a,1),12117(a,2,1))]. given #11210 (H,wt=19): 12121 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(227,a,12117,a(flip),b,12119,a(flip)),flip(a)]. given #11211 (H,wt=27): 12120 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11051(a,2),12118(a,2,1)),flip(a)]. given #11212 (H,wt=25): 12122 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(7981(a,1),12120(a,2,1))]. given #11213 (H,wt=23): 12123 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(227,a,12118,a(flip),b,12122,a)]. given #11214 (H,wt=21): 12124 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11051(a,1),12123(a,1,1))]. given #11215 (H,wt=21): 12125 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(227,a,12121,a(flip),b,12124,a)]. given #11216 (H,wt=34): 11975 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) != v5 | a(x,a(y,z,y) * u,w) = v5. [para(11953(a,1),825(a,1,1,2))]. given #11217 (H,wt=34): 12045 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7436(a,1),12044(a,2,2))]. given #11218 (H,wt=30): 12126 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(6965(a,1),12045(a,1,2,2,2))]. given #11219 (H,wt=30): 12128 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7434(a,2),12126(a,1,2,2))]. given #11220 (H,wt=26): 12129 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(7512(a,1),12128(a,1,2)),flip(a)]. given #11221 (H,wt=24): 12130 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(227,a,6483,a(flip),b,12129,a)]. given #11222 (H,wt=19): 12131 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [para(7250(a,1),12130(a,1,2,1,1))]. given #11223 (H,wt=20): 12134 K(x,y \ K(z,u \ 1)) != w | K(x,y \ K(u,z)) = w. [para(12131(a,1),6485(a,1))]. given #11224 (H,wt=34): 12106 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(227,a,11274,a(flip),b,12102,a(flip))]. given #11225 (H,wt=29): 12135 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(28(a,2),12106(a,1,2,2))]. given #11226 (H,wt=29): 12136 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(9623(a,1),12135(a,1,2))]. given #11227 (H,wt=23): 12137 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(227,a,10938,a(flip),b,12136,a(flip)),flip(a)]. given #11228 (H,wt=23): 12138 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(227,a,10672,a(flip),b,12137,a),flip(a)]. given #11229 (H,wt=19): 12140 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(147(a,1),12138(a,1,2,2))]. given #11230 (H,wt=35): 11999 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11994(a,1),11449(a,1,2,1,1))]. given #11231 (H,wt=21): 12142 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(227,a,10645,a(flip),b,11999,a(flip))]. given #11232 (H,wt=41): 7218 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1710(a,1),7173(a,2,1,1))]. given #11233 (H,wt=25): 12143 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(9365(a,1),7218(a,1,2,1))]. given #11234 (H,wt=25): 12144 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(227,a,9355,a(flip),b,12143,a)]. given #11235 (H,wt=25): 12145 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(9364(a,1),12144(a,1,1))]. given #11236 (H,wt=25): 12146 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(227,a,9783,a,b,12145,a(flip)),flip(a)]. given #11237 (H,wt=23): 12147 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5917(a,1),12146(a,1,1))]. given #11238 (H,wt=21): 12148 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(227,a,2244,a(flip),b,12147,a(flip))]. given #11239 (H,wt=19): 12149 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(227,a,9363,a(flip),b,12148,a(flip)),flip(a)]. given #11240 (H,wt=19): 12150 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12149(a,1),65(a,1,1))]. given #11241 (H,wt=19): 12151 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12150(a,1),1603(a,1,1))]. given #11242 (H,wt=27): 12152 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12151(a,1),7374(a,1,2,1))]. given #11243 (H,wt=25): 12153 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(227,a,8995,a(flip),b,12152,a(flip))]. given #11244 (H,wt=23): 12154 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(50(a,1),12153(a,1,2)),flip(a)]. given #11245 (H,wt=23): 12155 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(227,a,5344,a(flip),b,12154,a)]. given #11246 (H,wt=19): 12156 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(227,a,6216,a(flip),b,12155,a)]. given #11247 (H,wt=19): 12158 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(227,a,8993,a(flip),b,12156,a)]. given #11248 (H,wt=19): 12159 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),12158(a,1,2,1,1,1)),flip(a)]. given #11249 (H,wt=17): 12160 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(8728,a,12159,a),flip(a)]. given #11250 (H,wt=17): 12161 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(8366,a,12160,a)]. given #11251 (H,wt=17): 12162 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(227,a,9380,a(flip),b,12160,a(flip)),flip(a)]. given #11252 (H,wt=17): 12164 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),12162(a,1,2,1,1)),flip(a)]. given #11253 (H,wt=19): 12163 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(227,a,12142,a(flip),b,12161,a(flip))]. given #11254 (H,wt=27): 12165 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(227,a,8527,a,b,12164,a(flip)),flip(a)]. given #11255 (H,wt=23): 12167 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(227,a,8528,a(flip),b,12165,a(flip))]. given #11256 (H,wt=23): 12168 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(6709,a,12167,a)]. given #11257 (H,wt=21): 12170 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(227,a,10497,a(flip),b,12168,a(flip))]. given #11258 (H,wt=23): 12172 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(113(a,1),12170(a,1,2,1,1,2))]. given #11259 (H,wt=26): 12173 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(227,a,8731,a(flip),b,12172,a(flip))]. given #11260 (H,wt=24): 12174 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8235,a,12173,a)]. given #11261 (H,wt=24): 12175 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(227,a,8340,a(flip),b,12174,a)]. given #11262 (H,wt=20): 12176 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(65(a,1),12175(a,2,2,1,1))]. given #11263 (H,wt=18): 12177 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(227,a,11747,a(flip),b,12176,a),flip(a)]. given #11264 (H,wt=26): 12179 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(12177(a,2),6914(a,1,1))]. given #11265 (H,wt=24): 12180 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(227,a,6921,a(flip),b,12179,a(flip)),flip(a)]. given #11266 (H,wt=27): 12166 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(12163(a,1),6914(a,1,1))]. given #11267 (H,wt=25): 12181 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(227,a,6914,a(flip),b,12166,a(flip))]. given #11268 (H,wt=25): 12182 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(227,a,8760,a(flip),b,12181,a(flip))]. given #11269 (H,wt=21): 12183 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(62(a,1),12182(a,2,2,2))]. given #11270 (H,wt=20): 12184 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(227,a,12180,a,b,12183,a(flip)),flip(a)]. given #11271 (H,wt=20): 12186 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12061(a,1),12184(a,1,1))]. given #11272 (H,wt=20): 12187 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12060,a,12186,a)]. given #11273 (H,wt=20): 12188 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(227,a,12061,a(flip),b,12187,a)]. given #11274 (H,wt=19): 12189 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(227,a,12072,a(flip),b,12188,a(flip))]. given #11275 (H,wt=17): 12191 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(227,a,12062,a(flip),b,12189,a(flip))]. given #11276 (H,wt=19): 12192 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(12191(a,2),5004(a,2,1)),flip(a)]. given #11277 (H,wt=17): 12193 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5005,a,12192,a)]. given #11278 (H,wt=20): 12194 L(T(x,R(y,z,u)),y,T(x,w)) = T(x,R(x * y,z,u)). [hyper(227,a,12042,a,b,12193,a),flip(a)]. given #11279 (H,wt=18): 12195 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(11103,a,12194,a)]. given #11280 (H,wt=41): 8471 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8470(a,1),3809(a,1,1,2,1))]. given #11281 (H,wt=39): 12197 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9216(a,1),8471(a,1,1,2))]. given #11282 (H,wt=39): 12198 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8470(a,1),12197(a,1,2,1))]. given #11283 (H,wt=39): 12199 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(4643(a,1),12198(a,1,2,2))]. given #11284 (H,wt=32): 12200 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(4361(a,1),12199(a,1,2)),flip(a)]. given #11285 (H,wt=32): 12202 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8470(a,1),12200(a,1,2,1))]. given #11286 (H,wt=30): 12203 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9216(a,1),12202(a,1,2)),flip(a)]. given #11287 (H,wt=30): 12204 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8470(a,1),12203(a,2,3))]. given #11288 (H,wt=17): 12205 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(227,a,11969,a(flip),b,12204,a)]. given #11289 (H,wt=24): 12207 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10542(a,2),12205(a,1,1,2))]. given #11290 (H,wt=20): 12208 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(8464,a,12207,a)]. given #11291 (H,wt=20): 12209 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(6829,a,12208,a)]. given #11292 (H,wt=22): 12210 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12209(a,1),6007(a,1,1)),flip(a)]. given #11293 (H,wt=18): 12211 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(227,a,9204,a(flip),b,12210,a)]. given #11294 (H,wt=22): 12212 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(1960(a,1),12211(a,1,2))]. given #11295 (H,wt=22): 12213 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(8288(a,1),12211(a,1,1))]. given #11296 (H,wt=22): 12214 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(6670(a,2),12212(a,1,1))]. given #11297 (H,wt=15): 12216 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(227,a,10633,a(flip),b,12214,a(flip)),flip(a)]. given #11298 (H,wt=15): 12218 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(65(a,1),12216(a,1,2,2)),flip(a)]. given #11299 (H,wt=19): 12219 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),12218(a,1,2))]. given #11300 (H,wt=42): 5320 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / z) \ T(1 / y,z)) * x). [para(5317(a,1),1847(a,2,2,1,2))]. given #11301 (H,wt=40): 12220 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / (1 / y)) \ z) * x). [para(805(a,1),5320(a,2,2,1))]. given #11302 (H,wt=40): 12221 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * ((((y \ 1) \ 1) \ z) * x). [para(1058(a,1),12220(a,2,2,1,1))]. given #11303 (H,wt=38): 12222 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = T(T(x,((y \ 1) \ 1) \ z),z \ ((y \ 1) \ 1)). [hyper(227,a,9401,a(flip),b,12221,a)]. given #11304 (H,wt=36): 12223 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = T(T(x,(y \ 1) * z),z \ ((y \ 1) \ 1)). [para(6044(a,1),12222(a,2,1))]. given #11305 (H,wt=36): 12224 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) != u | L(x,(y \ 1) * z,(y \ 1) * z) = u. [para(12223(a,2),1143(a,1))]. given #11306 (H,wt=27): 12225 L(x,y \ z,((y \ z) \ z) * (1 / z)) = L(x,(y \ 1) * z,(y \ 1) * z). [hyper(12224,a,10965,a),flip(a)]. given #11307 (H,wt=23): 12226 L(x,(y \ 1) * z,(y \ 1) * z) = L(x,y \ z,(y \ z) \ 1). [hyper(227,a,4925,a(flip),b,12225,a(flip))]. given #11308 (H,wt=21): 12228 L(x,(y \ 1) * z,(y \ 1) * z) = L(x,y \ z,y \ z). [hyper(227,a,3611,a(flip),b,12226,a)]. given #11309 (H,wt=21): 12230 L(x,y * (1 / z),y * (1 / z)) = L(x,z \ y,z \ y). [hyper(227,a,11840,a(flip),b,12228,a(flip)),flip(a)]. given #11310 (H,wt=21): 12232 L(x,y * (1 / z),y * (z \ 1)) = L(x,z \ y,z \ y). [hyper(227,a,4922,a(flip),b,12230,a(flip)),flip(a)]. given #11311 (H,wt=25): 12231 L(x,y \ (y \ z),y \ (y \ z)) = L(x,y * (z \ y),y * (z \ y)). [hyper(10759,a,12230,a),flip(a)]. given #11312 (H,wt=28): 12233 L(x,y \ (y \ z),y \ (y \ z)) != u | L(x,y * (z \ y),y * (z \ y)) = u. [para(12230(a,1),10759(a,1))]. given #11313 (H,wt=34): 12229 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u \ (y \ z),u \ (y \ z)). [hyper(227,a,11847,a,b,12228,a(flip)),flip(a)]. given #11314 (H,wt=29): 12235 L(x,(1 / (y / z)) \ u,(1 / (y / z)) \ u) = L(x,u \ (y \ z),u \ (y \ z)). [para(9815(a,1),12229(a,1,2))]. given #11315 (H,wt=28): 12236 L(x,y \ (z \ u),y \ (z \ u)) != w | L(x,y * (z / u),y * (z / u)) = w. [para(12235(a,1),10048(a,1))]. given #11316 (H,wt=36): 12234 L(x,(y / z) \ u,(y / z) \ u) != w | L(x,y * (((y * u) * z) \ y),y * (((y * u) * z) \ y)) = w. [para(11835(a,1),12233(a,1))]. given #11317 (H,wt=33): 12237 L(x,y * (((y * z) * u) \ y),y * (((y * z) * u) \ y)) = L(x,z * (y \ u),z * (y \ u)). [hyper(12234,a,11848,a)]. given #11318 (H,wt=42): 12196 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(4196(a,2),12195(a,2,2,1))]. given #11319 (H,wt=42): 12238 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11641(a,1),12196(a,1,1))]. given #11320 (H,wt=38): 12239 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(65(a,1),12238(a,1,1,2,1,2,1))]. given #11321 (H,wt=36): 12240 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10135(a,1),12239(a,1,1))]. given #11322 (H,wt=36): 12241 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(227,a,10694,a(flip),b,12240,a(flip)),flip(a)]. given #11323 (H,wt=32): 12243 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(65(a,1),12241(a,1,2,2,1)),flip(a)]. given #11324 (H,wt=30): 12244 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(227,a,11066,a(flip),b,12243,a)]. given #11325 (H,wt=27): 12246 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(227,a,12195,a(flip),b,12244,a)]. given #11326 (H,wt=23): 12247 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),12246(a,2,2,1))]. given #11327 (H,wt=23): 12248 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(4196(a,1),12247(a,1,2,1))]. given #11328 (H,wt=43): 8369 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8348(a,1),5138(a,1,1))]. given #11329 (H,wt=43): 8442 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(8438(a,1),4343(a,1,1,1))]. given #11330 (H,wt=36): 12250 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(8438(a,1),8442(a,1,1,2,1,1)),flip(a)]. given #11331 (H,wt=32): 12251 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(13(a,1),12250(a,2,1,2,1))]. given #11332 (H,wt=25): 12253 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8438(a,1),12251(a,1,1)),flip(a)]. given #11333 (H,wt=25): 12254 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(3075(a,1),12253(a,2,2))]. given #11334 (H,wt=25): 12255 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(227,a,9424,a,b,12254,a(flip)),flip(a)]. given #11335 (H,wt=25): 12256 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(293,a,12255,a)]. given #11336 (H,wt=43): 8595 K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((x / y) * z)) * (1 / (u * (((1 / y) * (z / x)) * x))). [para(1508(a,1),8392(a,1,1)),flip(a)]. given #11337 (H,wt=41): 12257 K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((x / y) * z)) * (1 / (u * (x \ ((x / y) * z)))). [para(1508(a,1),8595(a,2,2,2,2))]. given #11338 (H,wt=39): 12258 K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [hyper(227,a,3364,a(flip),b,12257,a)]. given #11339 (H,wt=37): 12259 K(x \ ((1 / y) * (z / x)),((z / x) \ y) * x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [para(8330(a,1),12258(a,1,1))]. given #11340 (H,wt=37): 12260 K(((x / y) \ z) * y,(((x / y) \ z) * y) \ 1) / u = (y \ ((x / y) \ z)) * ((y \ ((y / z) * x)) / u). [para(8303(a,1),12259(a,1,1))]. given #11341 (H,wt=37): 12261 K(((x / y) \ z) * y,y \ ((z \ 1) * (x / y))) / u = (y \ ((x / y) \ z)) * ((y \ ((y / z) * x)) / u). [para(9200(a,1),12260(a,1,1))]. given #11342 (H,wt=43): 9880 (x * (1 / ((y \ z) * (1 / z)))) / (u / ((y \ z) * (1 / z))) = (x / ((y \ 1) * (u * K(z,z \ 1)))) * ((y \ z) * (1 / z)). [para(9166(a,2),9873(a,2,1,2))]. given #11343 (H,wt=43): 9900 (1 / T(x,(y \ (z \ 1)) * K(u \ w,w \ u))) \ (z * (y * K(u \ w,w \ u))) = (z * (y * K(u \ w,w \ u))) * x. [para(9898(a,1),704(a,1,1,2,2))]. given #11344 (H,wt=41): 12263 (1 / T(x,(y * z) \ K(u \ w,w \ u))) \ (y * (z * K(u \ w,w \ u))) = (y * (z * K(u \ w,w \ u))) * x. [para(6542(a,1),9900(a,1,1,2,2))]. given #11345 (H,wt=43): 10369 T(((1 / x) * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = ((((y \ 1) \ 1) * z) / x) * (((y \ 1) \ 1) * z). [hyper(227,a,624,a(flip),b,10368,a)]. given #11346 (H,wt=43): 12249 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7399(a,1),8369(a,1,2,1,2))]. given #11347 (H,wt=41): 12265 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7432(a,1),12249(a,1,2,1,2))]. given #11348 (H,wt=39): 12266 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7423(a,1),12265(a,1,2,1,2))]. given #11349 (H,wt=39): 12267 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(4985(a,1),12266(a,1,2,1))]. given #11350 (H,wt=39): 12268 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(227,a,5829,a,b,12267,a(flip)),flip(a)]. given #11351 (H,wt=37): 12269 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(7453(a,1),12268(a,1,1)),flip(a)]. given #11352 (H,wt=35): 12270 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1475(a,1),12269(a,2,2))]. given #11353 (H,wt=33): 12271 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(227,a,7469,a(flip),b,12270,a)]. given #11354 (H,wt=43): 12262 (x * ((y * (1 / (1 * y))) \ z)) / (u / ((z \ y) * (1 / y))) = (x / ((z \ 1) * (u * K(y,y \ 1)))) * ((z \ y) * (1 / y)). [para(9262(a,1),9880(a,1,1,2))]. given #11355 (H,wt=41): 12272 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * ((u * (1 / u)) \ y)) / (z / ((y \ u) * (1 / u))). [para(11(a,1),12262(a,1,1,2,1,2,2)),flip(a)]. given #11356 (H,wt=41): 12273 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) \ y)) / (z / ((y \ u) * (1 / u))). [para(2255(a,2),12272(a,2,1,2,1))]. given #11357 (H,wt=41): 12274 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) * y)) / (z / ((y \ u) * (1 / u))). [para(6479(a,1),12273(a,2,1,2))]. given #11358 (H,wt=41): 12275 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) * y)) / ((u * (1 / (z * u))) \ y). [para(9262(a,1),12274(a,2,2))]. given #11359 (H,wt=41): 12276 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = K(u,u \ 1) * ((x * y) / ((u * (1 / (z * u))) \ y)). [hyper(227,a,9168,a(flip),b,12275,a)]. given #11360 (H,wt=39): 12277 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = K(z,z \ 1) * ((x * y) / ((z * (1 / (u * z))) \ y)). [para(9166(a,1),12276(a,1,1,2))]. given #11361 (H,wt=37): 12278 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / (T((1 / (u * z)) * z,z \ 1) \ y). [hyper(227,a,9325,a(flip),b,12277,a)]. given #11362 (H,wt=35): 12279 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / (T(1 / T(u,z),z \ 1) \ y). [para(336(a,1),12278(a,2,2,1,1))]. given #11363 (H,wt=29): 12280 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / ((1 / u) \ y). [para(1578(a,1),12279(a,2,2,1))]. given #11364 (H,wt=43): 12264 T(((1 / x) * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). [para(1072(a,1),10369(a,2,1))]. given #11365 (H,wt=39): 12282 T(((1 / x) / (y \ (1 / z))) / (y \ (1 / z)),y \ (z \ 1)) = (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y). [para(4105(a,1),12264(a,1,1))]. given #11366 (H,wt=39): 12283 T((1 / ((x \ (1 / y)) * z)) / (x \ (1 / y)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). [para(325(a,1),12282(a,1,1,1))]. given #11367 (H,wt=39): 12284 T(1 / ((x \ (1 / y)) * ((x \ (1 / y)) * z)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). [para(325(a,1),12283(a,1,1))]. given #11368 (H,wt=44): 9607 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5471(a,1),9533(a,2,2))]. given #11369 (H,wt=44): 12285 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(6443(a,1),9607(a,1,1,1))]. given #11370 (H,wt=37): 12286 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(11005(a,1),12285(a,1,1))]. given #11371 (H,wt=35): 12287 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6164,a,12286,a)]. given #11372 (H,wt=35): 12289 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(227,a,11537,a(flip),b,12287,a(flip)),flip(a)]. given #11373 (H,wt=31): 12290 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(11532,a,12289,a),flip(a)]. given #11374 (H,wt=31): 12291 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(227,a,11522,a(flip),b,12290,a)]. given #11375 (H,wt=18): 12292 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(227,a,11515,a(flip),b,12291,a)]. given #11376 (H,wt=16): 12293 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(6164,a,12292,a)]. given #11377 (H,wt=24): 12295 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12293(a,1),5145(a,1,1))]. given #11378 (H,wt=19): 12296 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11006(a,1),12295(a,1,2))]. given #11379 (H,wt=17): 12297 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(75,a,12296,a)]. given #11380 (H,wt=17): 12299 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(6490,a,12297,a)]. given #11381 (H,wt=17): 12300 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(3079,a,12297,a)]. given #11382 (H,wt=17): 12305 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12059(a,1),12297(a,1,2))]. given #11383 (H,wt=19): 12302 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8802(a,1),12297(a,1,2))]. given #11384 (H,wt=15): 12312 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(227,a,12305,a(flip),b,12302,a(flip))]. given #11385 (H,wt=21): 12303 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12297(a,1),10159(a,1,1)),flip(a)]. given #11386 (H,wt=21): 12304 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12297(a,1),11525(a,2,2))]. given #11387 (H,wt=21): 12306 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12297(a,1),12256(a,1,1,2))]. given #11388 (H,wt=17): 12314 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12297(a,1),12306(a,1,2))]. given #11389 (H,wt=21): 12309 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(12305(a,1),11497(a,1,1)),flip(a)]. given #11390 (H,wt=21): 12313 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(6490,a,12303,a)]. given #11391 (H,wt=23): 12301 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(5578(a,1),12297(a,1,2))]. given #11392 (H,wt=21): 12318 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(227,a,12117,a(flip),b,12301,a)]. given #11393 (H,wt=23): 12308 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12300(a,1),9787(a,2,2))]. given #11394 (H,wt=24): 12310 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12305(a,1),11530(a,1,1))]. given #11395 (H,wt=25): 12298 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7442(a,1),12296(a,1,2,1))]. given #11396 (H,wt=25): 12315 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(72,a,114,a(flip),b,12314,a)]. given #11397 (H,wt=25): 12319 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8601(a,1),12298(a,1,2,2))]. given #11398 (H,wt=23): 12320 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11534(a,1),12319(a,1,2))]. given #11399 (H,wt=26): 12317 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(227,a,8962,a(flip),b,12313,a(flip)),flip(a)]. given #11400 (H,wt=26): 12321 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(8679(a,1),12317(a,1,2))]. given #11401 (H,wt=24): 12322 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(6182,a,12321,a)]. given #11402 (H,wt=24): 12323 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(227,a,9786,a,b,12322,a)]. given #11403 (H,wt=24): 12324 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12059(a,1),12323(a,2,1,2))]. given #11404 (H,wt=22): 12325 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4996(a,2),12324(a,2,1))]. given #11405 (H,wt=21): 12326 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(227,a,12195,a(flip),b,12325,a)]. given #11406 (H,wt=33): 12307 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12299(a,1),10421(a,1,1)),flip(a)]. given #11407 (H,wt=27): 12327 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(227,a,12308,a(flip),b,12307,a)]. given #11408 (H,wt=34): 12316 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12309(a,1),11912(a,1,1,1))]. given #11409 (H,wt=27): 12328 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(371(a,1),12316(a,1,1)),flip(a)]. given #11410 (H,wt=27): 12329 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(227,a,8681,a(flip),b,12328,a)]. given #11411 (H,wt=27): 12330 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7399(a,1),12329(a,1,2,1,1))]. given #11412 (H,wt=27): 12331 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8602(a,1),12330(a,1,2,1))]. given #11413 (H,wt=25): 12332 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5004(a,2),12331(a,1,2))]. given #11414 (H,wt=25): 12333 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(227,a,8860,a,b,12332,a(flip)),flip(a)]. given #11415 (H,wt=23): 12334 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7435(a,1),12333(a,1,1))]. given #11416 (H,wt=23): 12335 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11502,a,12334,a)]. given #11417 (H,wt=19): 12336 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(227,a,12304,a(flip),b,12335,a(flip))]. given #11418 (H,wt=17): 12337 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4996,a(flip),b,12336,a)]. given #11419 (H,wt=21): 12338 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12310,a,12337,a)]. given #11420 (H,wt=19): 12339 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12338(a,1),12320(a,1,2))]. given #11421 (H,wt=17): 12340 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(75,a,12339,a),flip(a)]. given #11422 (H,wt=17): 12341 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(227,a,12337,a,b,12340,a)]. given #11423 (H,wt=17): 12342 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7428(a,1),12340(a,1,1))]. given #11424 (H,wt=17): 12343 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7428(a,1),12341(a,1,1))]. given #11425 (H,wt=19): 12344 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12312(a,2),12341(a,2,1)),flip(a)]. given #11426 (H,wt=19): 12345 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(227,a,12343,a,b,12344,a(flip)),flip(a)]. given #11427 (H,wt=45): 8768 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(7105(a,1),5913(a,1,2,1))]. given #11428 (H,wt=45): 12346 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(5286(a,1),8768(a,1,1,1))]. given #11429 (H,wt=46): 5328 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(4955(a,1),4407(a,2,1,2,1))]. given #11430 (H,wt=44): 12347 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5245(a,1),5328(a,1,1))]. given #11431 (H,wt=42): 12348 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5245(a,1),12347(a,1,2,1,1)),flip(a)]. given #11432 (H,wt=40): 12349 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5084(a,1),12348(a,2,2,1))]. given #11433 (H,wt=40): 12350 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(5578(a,1),12349(a,2,2))]. given #11434 (H,wt=38): 12351 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(4957(a,1),12350(a,1,1,1)),flip(a)]. given #11435 (H,wt=38): 12352 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(5578(a,1),12351(a,2,1,2))]. given #11436 (H,wt=29): 12353 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(227,a,12301,a(flip),b,12352,a(flip))]. given #11437 (H,wt=27): 12354 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(227,a,12119,a(flip),b,12353,a)]. given #11438 (H,wt=19): 12355 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12318(a,1),12354(a,1,1)),flip(a)]. given #11439 (H,wt=46): 12215 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(9218(a,1),12213(a,1,1,1))]. given #11440 (H,wt=44): 12356 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5867(a,1),12215(a,1,1))]. given #11441 (H,wt=36): 12357 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14(a,1),12356(a,1,2,2,1,2))]. given #11442 (H,wt=34): 12359 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(1960(a,1),12357(a,1,2))]. given #11443 (H,wt=34): 12360 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9548(a,1),12359(a,1,2))]. given #11444 (H,wt=30): 12361 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(1977(a,1),12360(a,1,2)),flip(a)]. given #11445 (H,wt=23): 12362 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(227,a,5794,a(flip),b,12361,a)]. given #11446 (H,wt=13): 12363 L(x,y / z,x) = L(x,z \ y,x). [hyper(227,a,12219,a(flip),b,12362,a(flip))]. given #11447 (H,wt=13): 12365 L(x,(y \ z) \ z,x) = L(x,y,x). [para(62(a,1),12363(a,1,2)),flip(a)]. given #11448 (H,wt=13): 12369 L(x,y * K(z,y),x) = L(x,y,x). [para(5493(a,1),12365(a,1,2)),flip(a)]. given #11449 (H,wt=19): 12370 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5449(a,1),12369(a,1,2))]. given #11450 (H,wt=24): 12367 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5155(a,2),12363(a,1,2))]. given #11451 (H,wt=20): 12371 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(227,a,12370,a(flip),b,12367,a(flip))]. given #11452 (H,wt=16): 12373 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(227,a,12040,a(flip),b,12371,a(flip))]. given #11453 (H,wt=12): 12375 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),12373(a,2,2))]. given #11454 (H,wt=29): 12366 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(4647(a,2),12363(a,1,2))]. given #11455 (H,wt=22): 12376 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),12366(a,2,2))]. given #11456 (H,wt=17): 12377 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(227,a,12375,a(flip),b,12376,a(flip)),flip(a)]. given #11457 (H,wt=47): 3491 ((((x \ 1) \ 1) * y) / ((1 / x) * z)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(1057(a,1),3370(a,1,1,2,1))]. given #11458 (H,wt=47): 9435 ((((x \ y) \ y) \ 1) \ (1 / y)) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). [para(1600(a,1),9431(a,2,2,1))]. given #11459 (H,wt=45): 12380 (T(1 / x,y) \ (1 / y)) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). [para(5317(a,1),9435(a,1,1,1))]. given #11460 (H,wt=45): 12381 T((1 / x) \ (y \ 1),y) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). [para(6162(a,1),12380(a,1,1))]. given #11461 (H,wt=43): 12382 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z). [para(1619(a,1),12381(a,1,1)),flip(a)]. given #11462 (H,wt=41): 12383 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * ((T(1 / x,y) \ (1 / y)) * z). [para(5317(a,1),12382(a,2,2,1,1))]. given #11463 (H,wt=41): 12384 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * (T((1 / x) \ (y \ 1),y) * z). [para(6162(a,1),12383(a,2,2,1))]. given #11464 (H,wt=39): 12385 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * ((((y \ 1) \ 1) \ x) * z). [para(1619(a,1),12384(a,2,2,1))]. given #11465 (H,wt=35): 12386 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = ((y \ 1) * x) * (((y \ 1) * x) * z). [hyper(227,a,9431,a(flip),b,12385,a)]. given #11466 (H,wt=31): 12387 (x \ ((y \ 1) \ 1)) * ((x \ ((y \ 1) \ 1)) * z) = ((x \ 1) * y) * (((x \ 1) * y) * z). [hyper(227,a,9433,a(flip),b,12386,a(flip)),flip(a)]. given #11467 (H,wt=47): 10058 ((((x \ y) \ y) \ 1) \ (1 / y)) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). [para(1600(a,1),10056(a,2,2,2))]. given #11468 (H,wt=45): 12388 (T(1 / x,y) \ (1 / y)) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). [para(5317(a,1),10058(a,1,1,1))]. given #11469 (H,wt=45): 12389 T((1 / x) \ (y \ 1),y) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). [para(6162(a,1),12388(a,1,1))]. given #11470 (H,wt=43): 12390 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))). [para(1619(a,1),12389(a,1,1)),flip(a)]. given #11471 (H,wt=41): 12391 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * (T(1 / x,y) \ (1 / y))). [para(5317(a,1),12390(a,2,2,2,1))]. given #11472 (H,wt=41): 12392 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * T((1 / x) \ (y \ 1),y)). [para(6162(a,1),12391(a,2,2,2))]. given #11473 (H,wt=39): 12393 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * (((y \ 1) \ 1) \ x)). [para(1619(a,1),12392(a,2,2,2))]. given #11474 (H,wt=35): 12394 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = ((y \ 1) * x) * (z * ((y \ 1) * x)). [hyper(227,a,10056,a(flip),b,12393,a)]. given #11475 (H,wt=27): 12395 ((x \ 1) * y) \ (z / ((x \ 1) * y)) = ((y \ 1) * x) * (z * ((y \ 1) * x)). [hyper(227,a,11713,a(flip),b,12394,a(flip)),flip(a)]. given #11476 (H,wt=47): 12379 (1 / (((1 / x) * y) * (z \ (1 / x)))) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * z)) = ((((x \ 1) \ 1) * z) / y) * (((x \ 1) \ 1) * z). [para(1072(a,1),3491(a,1,1))]. given #11477 (H,wt=47): 12396 (1 / ((1 / x) * ((y / z) \ (1 / x)))) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(3336(a,1),12379(a,1,1,2))]. given #11478 (H,wt=45): 12397 (1 / (((x / y) * z) \ (1 / z))) * (((z \ 1) \ 1) * ((1 / ((z \ 1) \ 1)) * x)) = ((((z \ 1) \ 1) * x) / y) * (((z \ 1) \ 1) * x). [para(783(a,1),12396(a,1,1,2))]. given #11479 (H,wt=45): 12398 ((1 / (1 / x)) * ((y / z) * x)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(313(a,1),12397(a,1,1))]. given #11480 (H,wt=45): 12399 (((x \ 1) \ 1) * ((y / z) * x)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(1058(a,1),12398(a,1,1,1))]. given #11481 (H,wt=43): 12400 (((x \ 1) \ (y / z)) * x) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(3488(a,1),12399(a,1,1))]. given #11482 (H,wt=39): 12401 (((x \ 1) \ (y / z)) * x) * (((x \ 1) \ 1) * ((x \ 1) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(62(a,1),12400(a,1,2,2,1))]. given #11483 (H,wt=35): 12403 ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y) = (((x \ 1) \ (y / z)) * x) * (x * ((1 / x) * y)). [para(3765(a,1),12401(a,1,2)),flip(a)]. given #11484 (H,wt=35): 12404 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (((z \ 1) \ (y / x)) * z) * (z * ((1 / z) * y)). [para(1072(a,1),12403(a,1,1))]. given #11485 (H,wt=48): 10299 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(10208(a,2),1646(a,1,2))]. given #11486 (H,wt=48): 10314 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(155(a,2),10291(a,1,2,2,2))]. given #11487 (H,wt=44): 12406 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6199(a,1),10314(a,1,2,1))]. given #11488 (H,wt=37): 12407 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4792(a,1),12406(a,1,2,2)),flip(a)]. given #11489 (H,wt=33): 12408 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(7715(a,1),12407(a,2,2))]. given #11490 (H,wt=43): 12409 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(13(a,1),12408(a,2,2,1))]. given #11491 (H,wt=42): 12410 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11802(a,1),12409(a,1,1,2))]. given #11492 (H,wt=35): 12411 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8057(a,1),12410(a,1,1))]. given #11493 (H,wt=34): 12413 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11802(a,1),12411(a,1,2,1))]. given #11494 (H,wt=33): 12414 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8344(a,1),12413(a,1,2))]. given #11495 (H,wt=31): 12415 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(6752(a,1),12414(a,1,2))]. given #11496 (H,wt=19): 12416 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6920(a,1),12415(a,1,2)),flip(a)]. given #11497 (H,wt=19): 12417 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(227,a,6942,a,b,12416,a)]. given #11498 (H,wt=48): 12405 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7428(a,1),10299(a,1,1,3,1))]. given #11499 (H,wt=44): 12419 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7262(a,1),12405(a,1,1,3))]. given #11500 (H,wt=44): 12420 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(6582(a,2),12419(a,1,1,3))]. given #11501 (H,wt=44): 12422 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7428(a,1),12420(a,1,2,1,1))]. given #11502 (H,wt=44): 12423 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(10190(a,1),12422(a,1,2))]. given #11503 (H,wt=44): 12424 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7428(a,1),12423(a,2,2,1))]. given #11504 (H,wt=40): 12425 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(7262(a,1),12424(a,2,2))]. given #11505 (H,wt=40): 12426 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(6582(a,2),12425(a,2,2))]. given #11506 (H,wt=27): 12428 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(8441(a,1),12426(a,1,1))]. given #11507 (H,wt=25): 12429 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(10283,a,12428,a),flip(a)]. given #11508 (H,wt=25): 12430 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(227,a,3073,a(flip),b,12429,a(flip)),flip(a)]. given #11509 (H,wt=25): 12431 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [hyper(6836,a,12430,a)]. given #11510 (H,wt=25): 12432 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(227,a,11273,a(flip),b,12431,a)]. given #11511 (H,wt=15): 12433 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(17,a,7854,a,b,12432,a),flip(a)]. given #11512 (H,wt=19): 12434 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(12433(a,1),5022(a,2,2,2)),flip(a)]. given #11513 (H,wt=15): 12435 T(x,T(y * x,z)) = T(x,x * T(y,z)). [hyper(6597,a,12434,a)]. given #11514 (H,wt=18): 12436 T(x,x * T(y,z)) != u | T(x,T(y * x,z)) = u. [para(12434(a,1),6597(a,1))]. given #11515 (H,wt=49): 8836 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(2530(a,1),8185(a,1,2))]. given #11516 (H,wt=37): 12437 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(8403(a,1),8836(a,1,1)),flip(a)]. given #11517 (H,wt=37): 12438 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(227,a,6937,a,b,12437,a)]. given #11518 (H,wt=35): 12440 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5795(a,1),12438(a,2,1))]. given #11519 (H,wt=32): 12441 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12105(a,1),12440(a,1,2,1))]. given #11520 (H,wt=29): 12442 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12105(a,1),12441(a,1,2,2,1))]. given #11521 (H,wt=29): 12444 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(2461(a,2),12442(a,1,2))]. given #11522 (H,wt=28): 12446 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(2530(a,1),12444(a,1,2,2))]. given #11523 (H,wt=26): 12447 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(8376(a,1),12446(a,1,2))]. given #11524 (H,wt=21): 12448 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(889(a,1),12447(a,1,2)),flip(a)]. given #11525 (H,wt=19): 12449 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(227,a,4066,a(flip),b,12448,a(flip)),flip(a)]. given #11526 (H,wt=26): 12450 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(72,a,12449,a(flip),b,4996,a(flip))]. given #11527 (H,wt=21): 12452 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(8902,a,12450,a),flip(a)]. given #11528 (H,wt=17): 12453 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(227,a,11380,a(flip),b,12452,a)]. given #11529 (H,wt=22): 12454 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),12453(a,1,1))]. given #11530 (H,wt=22): 12455 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(227,a,9020,a(flip),b,12454,a(flip)),flip(a)]. given #11531 (H,wt=19): 12456 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11338(a,1),12455(a,2,3))]. given #11532 (H,wt=17): 12457 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(227,a,11432,a(flip),b,12456,a)]. given #11533 (H,wt=17): 12459 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(8168,a,12457,a)]. given #11534 (H,wt=21): 12462 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12459(a,1),6455(a,1,2,1)),flip(a)]. given #11535 (H,wt=17): 12463 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(227,a,10151,a(flip),b,12462,a)]. given #11536 (H,wt=21): 12464 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12463(a,1),11435(a,1,3)),flip(a)]. given #11537 (H,wt=21): 12465 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(227,a,11438,a(flip),b,12464,a(flip)),flip(a)]. given #11538 (H,wt=24): 12461 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),12459(a,1,2))]. given #11539 (H,wt=24): 12468 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(5428,a,12461,a)]. given #11540 (H,wt=24): 12469 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(8149,a,12468,a)]. given #11541 (H,wt=21): 12470 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11341(a,1),12469(a,2,3))]. given #11542 (H,wt=17): 12471 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(65(a,1),12470(a,2,3,1))]. given #11543 (H,wt=21): 12474 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12471(a,1),6455(a,1,2,1)),flip(a)]. given #11544 (H,wt=17): 12475 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(227,a,10151,a(flip),b,12474,a)]. given #11545 (H,wt=19): 12476 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12475(a,1),4996(a,2,2))]. given #11546 (H,wt=26): 12451 T(x * L(y,z,u),x * y) != w * v5 | w \ (L(y,z,u) * T(x,y)) = v5. [para(12449(a,2),457(a,1))]. given #11547 (H,wt=27): 12460 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(227,a,5838,a,b,12459,a(flip)),flip(a)]. given #11548 (H,wt=25): 12477 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12108(a,1),12460(a,1,2))]. given #11549 (H,wt=25): 12478 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(6408,a,12477,a)]. given #11550 (H,wt=23): 12479 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(7760,a,12478,a)]. given #11551 (H,wt=27): 12466 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12464(a,1),9584(a,1,2))]. given #11552 (H,wt=17): 12480 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9963(a,1),12466(a,1,2)),flip(a)]. given #11553 (H,wt=15): 12481 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(227,a,12,a(flip),b,12480,a)]. given #11554 (H,wt=19): 12483 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12481(a,1),6455(a,1,2,1)),flip(a)]. given #11555 (H,wt=15): 12484 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(227,a,6455,a(flip),b,12483,a)]. given #11556 (H,wt=17): 12485 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12484(a,1),4996(a,2,2))]. given #11557 (H,wt=15): 12486 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(227,a,4996,a,b,12485,a)]. given #11558 (H,wt=21): 12487 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12486(a,1),12479(a,1,2,1))]. given #11559 (H,wt=15): 12488 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5232,a,12487,a)]. given #11560 (H,wt=18): 12489 a(x,y,K(z,u)) != w | K(z,z * a(x,y,u)) = w. [para(12487(a,1),5232(a,1))]. given #11561 (H,wt=32): 12467 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12465(a,1),11557(a,1,1))]. given #11562 (H,wt=22): 12490 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9964(a,1),12467(a,1,1))]. given #11563 (H,wt=20): 12491 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(75,a,12490,a)]. given #11564 (H,wt=17): 12493 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(9072,a,12491,a)]. given #11565 (H,wt=19): 12494 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12493(a,1),4996(a,2,2)),flip(a)]. given #11566 (H,wt=17): 12497 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5001,a,12494,a),flip(a)]. given #11567 (H,wt=22): 12496 K(x,K(y,z \ L(z,u,w))) != v5 | K(x,K(y,a(w,u,z))) = v5. [para(12493(a,1),7636(a,1,2))]. given #11568 (H,wt=27): 12498 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12497(a,2),829(a,1,1))]. given #11569 (H,wt=25): 12500 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(227,a,12476,a(flip),b,12498,a)]. given #11570 (H,wt=49): 8837 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(2530(a,1),8186(a,1,2))]. given #11571 (H,wt=37): 12501 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(8403(a,1),8837(a,1,1)),flip(a)]. given #11572 (H,wt=37): 12502 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(227,a,6937,a,b,12501,a)]. given #11573 (H,wt=35): 12504 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5795(a,1),12502(a,2,1))]. given #11574 (H,wt=33): 12505 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(227,a,9904,a(flip),b,12504,a)]. given #11575 (H,wt=33): 12506 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(2464(a,2),12505(a,1,2))]. given #11576 (H,wt=27): 12507 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8261(a,1),12506(a,1,2,1))]. given #11577 (H,wt=27): 12508 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(2461(a,2),12507(a,1,2,1))]. given #11578 (H,wt=24): 12510 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12037(a,1),12508(a,1,2))]. given #11579 (H,wt=19): 12511 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(891(a,1),12510(a,1,2)),flip(a)]. given #11580 (H,wt=26): 12513 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12511(a,1),4953(a,2,2)),flip(a)]. given #11581 (H,wt=26): 12514 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(227,a,12417,a(flip),b,12513,a(flip)),flip(a)]. given #11582 (H,wt=24): 12515 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12302(a,1),12514(a,1,1))]. given #11583 (H,wt=49): 11472 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11470(a,2),3538(a,1,2,1))]. given #11584 (H,wt=49): 11473 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11470(a,1),5892(a,1,2,1))]. given #11585 (H,wt=47): 12517 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(7887(a,1),11473(a,1,1,1))]. given #11586 (H,wt=45): 12518 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(10311(a,1),12517(a,1,2)),flip(a)]. given #11587 (H,wt=45): 12519 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(227,a,9477,a(flip),b,12518,a)]. given #11588 (H,wt=43): 12520 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(6185(a,1),12519(a,2,1,2))]. given #11589 (H,wt=43): 12521 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(6949(a,1),12520(a,2,1))]. given #11590 (H,wt=41): 12522 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3009(a,1),12521(a,2,1,1))]. given #11591 (H,wt=39): 12523 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6633(a,1),12522(a,2,2))]. given #11592 (H,wt=25): 12524 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(227,a,9773,a(flip),b,12523,a)]. given #11593 (H,wt=23): 12526 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11470(a,1),12524(a,1,1))]. given #11594 (H,wt=49): 12516 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5286(a,1),11472(a,1,1,1))]. given #11595 (H,wt=47): 12527 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11470(a,1),12516(a,1,1))]. given #11596 (H,wt=45): 12528 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11470(a,1),12527(a,1,2,1))]. given #11597 (H,wt=45): 12529 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5286(a,1),12528(a,1,2,2,2))]. given #11598 (H,wt=25): 12530 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(12526(a,1),12529(a,1,2)),flip(a)]. given #11599 (H,wt=23): 12531 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(227,a,10311,a(flip),b,12530,a)]. given #11600 (H,wt=23): 12533 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5286(a,1),12531(a,1,2,1))]. given #11601 (H,wt=21): 12534 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11470(a,1),12533(a,1,2))]. given #11602 (H,wt=21): 12535 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(12534(a,1),65(a,1,1))]. given #11603 (H,wt=50): 10292 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10241(a,1),3315(a,1,1)),flip(a)]. given #11604 (H,wt=49): 12537 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10241(a,1),10292(a,2,2,1,1))]. given #11605 (H,wt=47): 12538 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(227,a,2781,a(flip),b,12537,a)]. given #11606 (H,wt=45): 12539 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(3212(a,1),12538(a,2,2))]. given #11607 (H,wt=43): 12540 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(1631(a,1),12539(a,2,2,1))]. given #11608 (H,wt=37): 12541 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1909(a,1),12540(a,2,2,1,2))]. given #11609 (H,wt=35): 12542 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(2781(a,1),12541(a,1,1))]. given #11610 (H,wt=35): 12543 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12092(a,2),12542(a,1,1,2))]. given #11611 (H,wt=21): 12544 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),12543(a,1,1,2,1)),flip(a)]. given #11612 (H,wt=51): 9370 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(4944(a,1),7115(a,1,2)),flip(a)]. given #11613 (H,wt=41): 12545 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(227,a,8795,a(flip),b,9370,a)]. given #11614 (H,wt=41): 12546 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(227,a,7434,a(flip),b,12545,a)]. given #11615 (H,wt=51): 9436 ((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * (((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * z) = (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z). [para(2175(a,1),9431(a,2,1))]. given #11616 (H,wt=49): 12547 (K(x,x \ 1) * ((y \ x) \ 1)) * (((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * z) = (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z). [para(3715(a,1),9436(a,1,1))]. given #11617 (H,wt=47): 12548 (((x \ y) \ y) * (1 / y)) * (((y \ 1) \ ((1 / y) * ((x \ y) \ 1))) * z) = (y \ ((x \ 1) \ 1)) * ((y * ((1 / y) * ((x \ y) \ 1))) * z). [para(3676(a,1),12547(a,1,1))]. given #11618 (H,wt=45): 12549 (((x \ y) \ y) * (1 / y)) * ((K(y,y \ 1) * ((x \ y) \ 1)) * z) = (y \ ((x \ 1) \ 1)) * ((y * ((1 / y) * ((x \ y) \ 1))) * z). [para(3715(a,1),12548(a,1,2,1))]. given #11619 (H,wt=43): 12550 (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = (((y \ x) \ x) * (1 / x)) * ((((y \ x) \ x) * (1 / x)) * z). [para(3676(a,1),12549(a,1,2,1)),flip(a)]. given #11620 (H,wt=35): 12551 (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = ((y \ x) \ 1) * (((y \ x) \ 1) * z). [hyper(227,a,11764,a(flip),b,12550,a)]. given #11621 (H,wt=31): 12553 (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = (x \ y) * ((x \ y) * z). [hyper(227,a,9432,a(flip),b,12551,a)]. given #11622 (H,wt=27): 12554 (x \ ((y \ 1) \ 1)) * ((x \ ((y \ 1) \ 1)) * z) = (x \ y) * ((x \ y) * z). [para(2175(a,1),12553(a,1,2,1))]. given #11623 (H,wt=23): 12555 ((x \ 1) * y) * (((x \ 1) * y) * z) = (x \ y) * ((x \ y) * z). [hyper(227,a,12387,a(flip),b,12554,a(flip)),flip(a)]. given #11624 (H,wt=27): 12556 (x \ (1 / y)) * ((x \ (1 / y)) * z) = (x \ (y \ 1)) * ((x \ (y \ 1)) * z). [hyper(227,a,10974,a(flip),b,12555,a(flip))]. given #11625 (H,wt=39): 12557 T(1 / ((x \ (y \ 1)) * ((x \ (y \ 1)) * z)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). [para(12556(a,1),12284(a,1,1,2))]. given #11626 (H,wt=39): 12558 T(((((x \ (y \ 1)) * z) \ 1) \ 1) \ (y * x),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). [para(1128(a,1),12557(a,1,1))]. given #11627 (H,wt=39): 12559 T(((x \ ((y \ (z \ 1)) \ 1)) \ 1) \ (z * y),y \ (z \ 1)) = (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y). [para(123(a,1),12558(a,1,1,1,1))]. given #11628 (H,wt=39): 12560 T(((1 / (x * y)) * ((z \ 1) \ 1)) \ (x * y),y \ (x \ 1)) = (1 / (z * (y \ (1 / x)))) * (((x \ 1) \ 1) * y). [para(1119(a,1),12559(a,1,1,1))]. given #11629 (H,wt=39): 12561 T((((x * y) \ ((z \ 1) \ 1)) \ 1) * (x * y),y \ (x \ 1)) = (1 / (z * (y \ (1 / x)))) * (((x \ 1) \ 1) * y). [para(1405(a,1),12560(a,1,1))]. given #11630 (H,wt=39): 12562 T(((1 / x) * (((y * z) \ 1) \ 1)) * (y * z),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). [para(1069(a,1),12561(a,1,1,1))]. given #11631 (H,wt=39): 12563 T(((1 / x) * (y * z)) * ((z \ (y \ 1)) \ 1),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). [para(4104(a,1),12562(a,1,1))]. given #11632 (H,wt=33): 12564 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (1 / (y \ (z \ 1))) * ((1 / x) * (z * y)). [hyper(1415,a,12563,a),flip(a)]. given #11633 (H,wt=33): 12565 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = ((1 / 1) \ (z * y)) * ((1 / x) * (z * y)). [para(340(a,1),12564(a,2,1))]. given #11634 (H,wt=31): 12566 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (1 \ (z * y)) * ((1 / x) * (z * y)). [para(59(a,1),12565(a,2,1,1))]. given #11635 (H,wt=29): 12567 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (z * y) * ((1 / x) * (z * y)). [para(50(a,1),12566(a,2,1))]. given #11636 (H,wt=27): 12569 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = ((z * y) / x) * (z * y). [hyper(227,a,624,a(flip),b,12567,a)]. given #11637 (H,wt=27): 12570 (((x \ 1) \ (y / z)) * x) * (x * ((1 / x) * y)) = ((x * y) / z) * (x * y). [hyper(227,a,12404,a(flip),b,12569,a(flip)),flip(a)]. given #11638 (H,wt=27): 12571 ((x * y) / (z \ y)) * (x * y) = (((x \ 1) \ z) * x) * (x * ((1 / x) * y)). [para(62(a,1),12570(a,1,1,1,2)),flip(a)]. given #11639 (H,wt=27): 12573 ((x * y) / y) * (z * (x * y)) = (((x \ 1) \ z) * x) * (x * ((1 / x) * y)). [hyper(1179,a,12571,a)]. given #11640 (H,wt=23): 12574 (((x \ 1) \ y) * x) * (x * ((1 / x) * z)) = x * (y * (x * z)). [para(15(a,1),12573(a,1,1)),flip(a)]. given #11641 (H,wt=31): 12572 (((x \ 1) \ ((1 / y) \ z)) * x) * (x * ((1 / x) * y)) = ((x * y) / (z \ 1)) * (x * y). [para(317(a,1),12570(a,1,1,1,2))]. given #11642 (H,wt=23): 12575 ((x * y) / (z \ 1)) * (x * y) = x * (((1 / y) \ z) * (x * y)). [hyper(227,a,12574,a(flip),b,12572,a(flip))]. given #11643 (H,wt=21): 12576 ((x * y) / (z \ 1)) * (x * y) = x * (y * ((z * x) * y)). [para(47(a,1),12575(a,2,2))]. given #11644 (H,wt=21): 12577 ((1 / (x * y)) \ z) * (x * y) = x * (y * ((z * x) * y)). [para(317(a,1),12576(a,1,1))]. given #11645 (H,wt=19): 12578 (x * y) * (z * (x * y)) = x * (y * ((z * x) * y)). [hyper(674,a,12577,a)]. given #11646 (H,wt=17): 12581 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(17,a,11953,a,b,12578,a),flip(a)]. given #11647 (H,wt=9): 12584 R(x,a(y,z,y),u) = x. [hyper(9290,a,12581,a)]. given #11648 (H,wt=17): 12585 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(72,a,58,a(flip),b,12581,a)]. given #11649 (H,wt=17): 12590 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [hyper(227,a,10300,a,b,12585,a(flip)),flip(a)]. given #11650 (H,wt=16): 12591 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12590(a,2),11986(a,1,2))]. given #11651 (H,wt=14): 12593 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(8915(a,1),12591(a,1,2,1))]. given #11652 (H,wt=17): 12594 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(8925(a,1),12591(a,1,2,1))]. given #11653 (H,wt=17): 12595 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(2540(a,1),12593(a,1,2,1))]. given #11654 (H,wt=17): 12597 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(7144(a,1),12593(a,1,2,1))]. given #11655 (H,wt=17): 12598 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),12594(a,1,2,1,1)),flip(a)]. given #11656 (H,wt=19): 12599 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(227,a,12595,a,b,12597,a),flip(a)]. given #11657 (H,wt=21): 12600 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(227,a,6454,a,b,12597,a)]. given #11658 (H,wt=20): 12601 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12600(a,2),6517(a,1))]. given #11659 (H,wt=22): 12583 (x * y) * z != x * (y * ((u * x) * y)) | u * (x * y) = z. [para(12578(a,1),19(a,1)),flip(a)]. given #11660 (H,wt=22): 12592 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(8165,a,12591,a)]. given #11661 (H,wt=16): 12602 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(11968,a,12592,a)]. given #11662 (H,wt=17): 12604 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(8925(a,1),12602(a,1,2,2))]. given #11663 (H,wt=23): 12582 (1 / x) * (y * ((z * (1 / x)) * y)) = (x \ y) * (z * (x \ y)). [hyper(227,a,11631,a(flip),b,12578,a(flip))]. given #11664 (H,wt=29): 12588 T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). [hyper(2373,a,12584,a)]. given #11665 (H,wt=24): 12606 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(10225,a,12588,a)]. given #11666 (H,wt=24): 12608 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [para(10212(a,1),12606(a,1,2))]. given #11667 (H,wt=24): 12609 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(227,a,12590,a(flip),b,12608,a)]. given #11668 (H,wt=22): 12610 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(32(a,2),12609(a,2,2))]. given #11669 (H,wt=17): 12611 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(11981,a,12610,a),flip(a)]. given #11670 (H,wt=22): 12613 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12611(a,1),10236(a,1,2))]. given #11671 (H,wt=22): 12614 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(13(a,1),12613(a,1,2,1)),flip(a)]. given #11672 (H,wt=17): 12615 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(10272,a,12614,a),flip(a)]. given #11673 (H,wt=31): 12587 (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). [para(12581(a,1),24(a,2,1)),flip(a)]. given #11674 (H,wt=31): 12617 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). [para(12581(a,1),12587(a,1,2,1))]. given #11675 (H,wt=19): 12618 a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). [hyper(11975,a,12617,a),flip(a)]. given #11676 (H,wt=19): 12619 a(x / a(y,z,y),a(y,z,y) * u,w) = a(x,u,w). [para(16(a,1),12618(a,1,1)),flip(a)]. given #11677 (H,wt=14): 12620 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(227,a,12115,a(flip),b,12619,a(flip)),flip(a)]. given #11678 (H,wt=15): 12622 a(x,T(y * z,y),u) = a(x,z * y,u). [para(8925(a,1),12620(a,1,2))]. given #11679 (H,wt=15): 12623 a(x,(y \ 1) * z,u) = a(x,y \ z,u). [para(1201(a,1),12622(a,1,2)),flip(a)]. given #11680 (H,wt=15): 12624 a(x,(1 / y) \ z,u) = a(x,y * z,u). [para(1209(a,1),12622(a,1,2))]. given #11681 (H,wt=36): 12579 (x \ y) * (L(z,x,x) * ((x * (x \ y)) * L(z,x,x))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [hyper(227,a,2150,a(flip),b,12577,a(flip))]. given #11682 (H,wt=36): 12616 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12615(a,2),8230(a,1,1,2,2))]. given #11683 (H,wt=26): 12625 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(14(a,1),12616(a,1,1,2,2,1)),flip(a)]. given #11684 (H,wt=20): 12626 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(227,a,6726,a(flip),b,12625,a)]. given #11685 (H,wt=18): 12629 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(8952(a,1),12626(a,1,2,1)),flip(a)]. given #11686 (H,wt=21): 12628 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(8936(a,1),12626(a,1,2,1,2))]. given #11687 (H,wt=43): 12580 x \ (x * (1 / (((y * (x * (((x \ z) \ 1) \ 1))) \ (1 / z)) * x))) = (((x \ z) \ 1) \ 1) * ((y * x) * (((x \ z) \ 1) \ 1)). [hyper(9892,a,12578,a)]. given #11688 (H,wt=43): 12630 x \ (x * (1 / ((x * (1 / ((y * (((z \ 1) \ 1) * y)) * x))) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). [para(11684(a,1),12580(a,1,2,2,2,1))]. given #11689 (H,wt=41): 12631 x \ (x * (1 / ((x * (1 / (((y / (1 / z)) * y) * x))) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). [para(1077(a,1),12630(a,1,2,2,2,1,2,2,1))]. given #11690 (H,wt=39): 12632 x \ (x * (1 / ((((y * (z * y)) \ x) * (1 / x)) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). [para(3968(a,1),12631(a,1,2,2,2,1))]. given #11691 (H,wt=36): 12633 x \ (x * (1 / L((y * (z * y)) \ x,x,x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). [para(1379(a,1),12632(a,1,2,2,2))]. given #11692 (H,wt=35): 12634 (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (x * (1 / ((x \ (y * (z * y))) \ 1))). [para(1034(a,1),12633(a,1,2,2,2)),flip(a)]. given #11693 (H,wt=31): 12635 (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (x * (x \ (y * (z * y)))). [para(62(a,1),12634(a,2,2,2))]. given #11694 (H,wt=27): 12636 (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (y * (z * y)). [hyper(227,a,13,a(flip),b,12635,a)]. given #11695 (H,wt=23): 12638 ((x \ y) \ 1) \ ((z * x) / ((x \ y) \ 1)) = x \ (y * (z * y)). [hyper(1418,a,12636,a)]. given #11696 (H,wt=19): 12641 (x \ y) * ((z * x) * (x \ y)) = x \ (y * (z * y)). [hyper(227,a,3856,a(flip),b,12638,a(flip)),flip(a)]. given #11697 (H,wt=20): 12642 ((x \ y) \ z) * L(x,x,y * x) = y \ (x * (z * x)). [hyper(227,a,11632,a,b,12641,a(flip)),flip(a)]. given #11698 (H,wt=50): 12605 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * (((y \ (z * (1 / x))) \ 1) * L(y,y,(z * (1 / x)) * y)). [para(4165(a,2),12582(a,1,2,2)),flip(a)]. given #11699 (H,wt=41): 12643 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * ((z * (1 / x)) \ (y * (1 * y))). [para(12642(a,1),12605(a,2,2))]. given #11700 (H,wt=39): 12644 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * ((z * (1 / x)) \ (y * y)). [para(11(a,1),12643(a,2,2,2,2))]. given #11701 (H,wt=39): 12645 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * (((z * (1 / x)) \ y) * y). [para(939(a,1),12644(a,2,2))]. given #11702 (H,wt=35): 12646 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (z \ (y * (y / x))) * x. [hyper(227,a,3504,a(flip),b,12645,a)]. given #11703 (H,wt=51): 10059 ((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * (z * ((x \ 1) \ ((1 / x) * ((y \ x) \ 1)))) = (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))). [para(2175(a,1),10056(a,2,1))]. given #11704 (H,wt=49): 12647 (K(x,x \ 1) * ((y \ x) \ 1)) * (z * ((x \ 1) \ ((1 / x) * ((y \ x) \ 1)))) = (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))). [para(3715(a,1),10059(a,1,1))]. given #11705 (H,wt=47): 12648 (((x \ y) \ y) * (1 / y)) * (z * ((y \ 1) \ ((1 / y) * ((x \ y) \ 1)))) = (y \ ((x \ 1) \ 1)) * (z * (y * ((1 / y) * ((x \ y) \ 1)))). [para(3676(a,1),12647(a,1,1))]. given #11706 (H,wt=45): 12649 (((x \ y) \ y) * (1 / y)) * (z * (K(y,y \ 1) * ((x \ y) \ 1))) = (y \ ((x \ 1) \ 1)) * (z * (y * ((1 / y) * ((x \ y) \ 1)))). [para(3715(a,1),12648(a,1,2,2))]. given #11707 (H,wt=43): 12650 (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (((y \ x) \ x) * (1 / x)) * (z * (((y \ x) \ x) * (1 / x))). [para(3676(a,1),12649(a,1,2,2)),flip(a)]. given #11708 (H,wt=31): 12651 (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (y \ x) \ (z / (y \ x)). [hyper(227,a,11176,a(flip),b,12650,a)]. given #11709 (H,wt=31): 12653 (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (x \ y) * (z * (x \ y)). [hyper(227,a,11630,a(flip),b,12651,a)]. given #11710 (H,wt=27): 12654 (x \ ((y \ 1) \ 1)) * (z * (x \ ((y \ 1) \ 1))) = (x \ y) * (z * (x \ y)). [para(2175(a,1),12653(a,1,2,2))]. given #11711 (H,wt=23): 12655 ((x \ 1) * y) \ (z / ((x \ 1) * y)) = (y \ x) * (z * (y \ x)). [hyper(227,a,2690,a(flip),b,12654,a(flip)),flip(a)]. given #11712 (H,wt=23): 12656 ((x \ 1) * y) * (z * ((x \ 1) * y)) = (x \ y) * (z * (x \ y)). [hyper(227,a,12395,a(flip),b,12655,a(flip)),flip(a)]. given #11713 (H,wt=25): 12657 ((1 / ((x \ 1) * y)) \ z) * ((x \ 1) * y) = (x \ y) * (z * (x \ y)). [hyper(630,a,12656,a)]. given #11714 (H,wt=25): 12658 ((((x \ 1) \ 1) \ y) \ z) * ((y \ 1) * x) = (y \ x) * (z * (y \ x)). [para(1078(a,1),12657(a,1,1,1))]. given #11715 (H,wt=52): 10569 (1 / (1 / T(x,y \ 1))) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(692(a,1),10563(a,2,2,1))]. given #11716 (H,wt=52): 11007 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(11005(a,1),493(a,1,1,1)),flip(a)]. given #11717 (H,wt=22): 12660 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(227,a,13,a(flip),b,11007,a)]. given #11718 (H,wt=17): 12662 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11005(a,1),12660(a,1,3))]. given #11719 (H,wt=13): 12664 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12297(a,1),12662(a,1,3))]. given #11720 (H,wt=25): 12665 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12664(a,1),100(a,1,2))]. given #11721 (H,wt=27): 12666 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(227,a,12327,a(flip),b,12665,a(flip))]. given #11722 (H,wt=19): 12667 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(6444(a,1),12666(a,1,2))]. given #11723 (H,wt=19): 12668 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7522(a,1),12667(a,1,1,1)),flip(a)]. given #11724 (H,wt=17): 12669 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(167,a,12668,a),flip(a)]. given #11725 (H,wt=24): 12670 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(227,a,12515,a(flip),b,12669,a),flip(a)]. given #11726 (H,wt=19): 12671 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(728(a,1),12670(a,2,1,2))]. given #11727 (H,wt=21): 12673 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12671(a,1,1))]. given #11728 (H,wt=21): 12674 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(227,a,10012,a(flip),b,12673,a(flip)),flip(a)]. given #11729 (H,wt=21): 12675 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(227,a,10077,a(flip),b,12674,a(flip)),flip(a)]. given #11730 (H,wt=21): 12676 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5088(a,1),12675(a,2,1))]. given #11731 (H,wt=19): 12677 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(227,a,12116,a(flip),b,12676,a)]. given #11732 (H,wt=27): 12672 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(9672,a,12671,a)]. given #11733 (H,wt=25): 12680 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12671(a,1),12672(a,1,1))]. given #11734 (H,wt=25): 12681 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(227,a,12355,a,b,12680,a(flip)),flip(a)]. given #11735 (H,wt=23): 12682 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(227,a,12125,a(flip),b,12681,a(flip)),flip(a)]. given #11736 (H,wt=29): 12679 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(227,a,5838,a,b,12677,a(flip)),flip(a)]. given #11737 (H,wt=27): 12683 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12377(a,1),12679(a,1,2))]. given #11738 (H,wt=27): 12684 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(6408,a,12683,a)]. given #11739 (H,wt=32): 12678 (x \ T(y * (z \ R(z,u,w)),y)) \ (x \ (y * (z \ R(z,u,w)))) = a(K(y,z),u * z,w). [hyper(227,a,6687,a,b,12677,a(flip)),flip(a)]. given #11740 (H,wt=28): 12685 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12544(a,1),12678(a,1,1))]. given #11741 (H,wt=24): 12686 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),12685(a,1,2))]. given #11742 (H,wt=17): 12687 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5014,a,12686,a),flip(a)]. given #11743 (H,wt=21): 12689 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12687(a,1),12342(a,2,2))]. given #11744 (H,wt=19): 12691 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(227,a,12345,a(flip),b,12689,a(flip))]. given #11745 (H,wt=21): 12692 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(227,a,7769,a,b,12691,a(flip)),flip(a)]. given #11746 (H,wt=21): 12693 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7434(a,2),12692(a,2,1))]. given #11747 (H,wt=19): 12694 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(8783,a,12693,a)]. given #11748 (H,wt=26): 12695 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(227,a,10016,a(flip),b,12694,a(flip)),flip(a)]. given #11749 (H,wt=26): 12696 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7443(a,1),12695(a,2,1))]. given #11750 (H,wt=23): 12697 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8604(a,1),12696(a,2,1))]. given #11751 (H,wt=22): 12698 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10078,a,12697,a)]. given #11752 (H,wt=23): 12701 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(227,a,10721,a(flip),b,12698,a(flip)),flip(a)]. given #11753 (H,wt=27): 12690 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12687(a,2),12684(a,1,1))]. given #11754 (H,wt=25): 12703 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(10271,a,12690,a)]. given #11755 (H,wt=9): 12704 a(x,a(y,z,u),x) = 1. [hyper(71,a,12703,a,b,10219,a),flip(a)]. given #11756 (H,wt=9): 12705 L(x,a(y,z,u),x) = x. [hyper(33,a,12704,a)]. given #11757 (H,wt=15): 12707 x / (a(y,z,u) \ 1) = x * a(y,z,u). [hyper(73,a,12705,a(flip),b,5524,a(flip))]. given #11758 (H,wt=15): 12708 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [hyper(72,a,12705,a(flip),b,5526,a(flip)),flip(a)]. given #11759 (H,wt=15): 12709 (1 / x) \ a(y,z,u) = x * a(y,z,u). [hyper(334,a,12707,a)]. given #11760 (H,wt=12): 12716 L(a(x,y,z),u,u) = a(x,y,z). [hyper(1373,a,12709,a)]. given #11761 (H,wt=15): 12710 x * (a(y,z,u) \ 1) = x / a(y,z,u). [hyper(305,a,12707,a),flip(a)]. given #11762 (H,wt=15): 12711 (x \ 1) * a(y,z,u) = x \ a(y,z,u). [hyper(300,a,12707,a),flip(a)]. given #11763 (H,wt=15): 12713 (a(x,y,z) \ 1) \ u = a(x,y,z) * u. [hyper(72,a,13,a(flip),b,12708,a)]. given #11764 (H,wt=15): 12715 (a(x,y,z) \ u) \ u = T(a(x,y,z),u). [para(12708(a,1),11596(a,1,1))]. given #11765 (H,wt=16): 12718 L(T(a(x,y,z),u),w,w) = T(a(x,y,z),u). [para(12716(a,1),40(a,2,1))]. given #11766 (H,wt=18): 12717 a(x,y,z) / ((x * y) * z) = 1 / (x * (y * z)). [hyper(73,a,12716,a(flip),b,1022,a(flip))]. given #11767 (H,wt=18): 12721 (1 / x) \ a(y,z,u) != w | x * a(y,z,u) = w. [para(12711(a,1),615(a,1))]. given #11768 (H,wt=22): 12723 T(x * a(y,z,u),a(y,z,u) \ 1) = T(a(y,z,u),1) * x. [para(12715(a,1),1404(a,2,1))]. given #11769 (H,wt=23): 12720 (a(x,y,z) * u) / a(x,y,z) != w | T(u,a(x,y,z) \ 1) = w. [para(12710(a,1),693(a,1))]. given #11770 (H,wt=26): 12714 (a(x,y,z) \ (K(a(x,y,z) \ 1,u) * w)) / w = T(a(x,y,z) \ 1,u). [hyper(73,a,12708,a(flip),b,5747,a(flip))]. given #11771 (H,wt=26): 12724 T(x,x * T(a(y,z,u),w)) = T(a(y,z,u),w) \ (x * T(a(y,z,u),w)). [para(12718(a,1),1212(a,1,1)),flip(a)]. given #11772 (H,wt=19): 12726 T(x,x * T(a(y,z,u),w)) = T(x,T(a(y,z,u),w)). [hyper(227,a,32,a,b,12724,a)]. given #11773 (H,wt=26): 12725 (a(x,y,z) \ (K(a(x,y,z),u \ 1) * w)) / w = T(a(x,y,z) \ 1,u). [para(5378(a,1),12714(a,1,1,2,1))]. given #11774 (H,wt=27): 12722 (x * (y \ 1)) \ (x * (y \ a(z,u,w))) != v5 | L(a(z,u,w),y \ 1,x) = v5. [para(12711(a,1),474(a,1,2,2))]. given #11775 (H,wt=33): 12719 K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (K(a(x,y,z) \ 1,u) * w) / a(x,y,z). [hyper(6931,a,12710,a)]. given #11776 (H,wt=33): 12727 K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (K(a(x,y,z),u \ 1) * w) / a(x,y,z). [para(5378(a,1),12719(a,2,1,1))]. given #11777 (H,wt=52): 11911 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11910(a,1),6683(a,1,1,2))]. given #11778 (H,wt=52): 12536 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12535(a,1),4131(a,1,1,1))]. given #11779 (H,wt=50): 12729 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10311(a,1),12536(a,1,1))]. given #11780 (H,wt=48): 12730 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12535(a,1),12729(a,1,2,2))]. given #11781 (H,wt=46): 12731 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(9940(a,1),12730(a,1,2))]. given #11782 (H,wt=44): 12732 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10701(a,1),12731(a,1,2))]. given #11783 (H,wt=29): 12733 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(11830(a,1),12732(a,1,2)),flip(a)]. given #11784 (H,wt=27): 12734 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12535(a,1),12733(a,1,1,1,1))]. given #11785 (H,wt=25): 12735 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(10311(a,1),12734(a,1,1,1))]. given #11786 (H,wt=23): 12736 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(12535(a,1),12735(a,1,1)),flip(a)]. given #11787 (H,wt=40): 12737 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(12736(a,1),8516(a,1,1))]. given #11788 (H,wt=38): 12738 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(7887(a,1),12737(a,1,2))]. given #11789 (H,wt=38): 12739 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(227,a,10719,a(flip),b,12738,a(flip)),flip(a)]. given #11790 (H,wt=36): 12740 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(6419(a,1),12739(a,1,2))]. given #11791 (H,wt=25): 12741 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(227,a,11204,a(flip),b,12740,a(flip))]. given #11792 (H,wt=43): 12743 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(12741(a,1),12346(a,1,1))]. given #11793 (H,wt=35): 12744 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u). [para(5409(a,1),12743(a,1,1,1)),flip(a)]. given #11794 (H,wt=43): 12745 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w). [hyper(227,a,9110,a,b,12744,a(flip)),flip(a)]. given #11795 (H,wt=43): 12746 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),u * w). [para(8592(a,1),12745(a,2,2))]. given #11796 (H,wt=41): 12747 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(8106(a,1),12746(a,2,2))]. given #11797 (H,wt=37): 12748 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(13(a,1),12747(a,2,2,1))]. given #11798 (H,wt=35): 12749 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(227,a,5918,a(flip),b,12748,a)]. given #11799 (H,wt=33): 12751 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(227,a,8508,a(flip),b,12749,a)]. given #11800 (H,wt=33): 12752 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5286(a,1),12751(a,1,1,1))]. given #11801 (H,wt=31): 12753 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(12741(a,1),12752(a,1,1))]. given #11802 (H,wt=23): 12754 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5409(a,1),12753(a,1,1,1))]. given #11803 (H,wt=19): 12755 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(227,a,9110,a(flip),b,12754,a(flip)),flip(a)]. given #11804 (H,wt=19): 12756 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(2461(a,1),12755(a,2,1))]. given #11805 (H,wt=29): 12757 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12475(a,1),12756(a,2,2))]. given #11806 (H,wt=25): 12758 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12475(a,1),12757(a,1,1,1))]. given #11807 (H,wt=52): 12659 ((T(x,y \ 1) \ 1) \ 1) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [hyper(5560,a,10569,a)]. given #11808 (H,wt=52): 12728 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11365(a,1),11911(a,1,2,2))]. given #11809 (H,wt=44): 12760 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(7767,a,12728,a)]. given #11810 (H,wt=40): 12761 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(9970(a,1),12760(a,1,2,2)),flip(a)]. given #11811 (H,wt=40): 12762 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(7443(a,1),12761(a,2,2))]. given #11812 (H,wt=37): 12764 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(7853(a,1),12762(a,2,2))]. given #11813 (H,wt=37): 12765 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(7428(a,1),12764(a,2,2))]. given #11814 (H,wt=37): 12766 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11365(a,1),12765(a,1,1,2))]. given #11815 (H,wt=37): 12767 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(227,a,10760,a,b,12766,a(flip)),flip(a)]. given #11816 (H,wt=30): 12768 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(11910(a,1),12767(a,1,1)),flip(a)]. given #11817 (H,wt=37): 12769 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(12768(a,1),457(a,1))]. given #11818 (H,wt=52): 12759 T((x \ 1) \ 1,y \ 1) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(1601(a,1),12659(a,1,1))]. given #11819 (H,wt=48): 12770 T((x \ 1) \ 1,y \ 1) \ ((L(1 / T(x,y \ 1),T(x,y \ 1),T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(1470(a,1),12759(a,1,2,1,1))]. given #11820 (H,wt=39): 12771 T((x \ 1) \ 1,y \ 1) \ (((1 * (T(x,y \ 1) \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(1030(a,1),12770(a,1,2,1,1))]. given #11821 (H,wt=37): 12772 T((x \ 1) \ 1,y \ 1) \ (((T(x,y \ 1) \ 1) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(11(a,1),12771(a,1,2,1,1))]. given #11822 (H,wt=35): 12773 T((x \ 1) \ 1,y \ 1) \ ((y * ((x \ 1) \ 1)) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(1607(a,1),12772(a,1,2,1))]. given #11823 (H,wt=31): 12774 T((x \ 1) \ 1,y \ 1) \ ((y * ((x \ 1) \ 1)) * z) = T(x,y \ 1) \ ((y * x) * z). [para(65(a,1),12773(a,2,1))]. given #11824 (H,wt=54): 11659 x \ ((x * (1 / (y * x))) * (((x * (1 / (y * x))) \ z) * L(u,x * (1 / (y * x)),x * (1 / (y * x))))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). [hyper(2149,a,11658,a)]. given #11825 (H,wt=42): 12776 x \ ((x * (1 / (y * x))) * (((x * (1 / (y * x))) \ z) * L(u,y,y))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). [para(5732(a,1),11659(a,1,2,2,2))]. given #11826 (H,wt=42): 12778 x \ (x * (1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). [para(9884(a,1),12776(a,1,2))]. given #11827 (H,wt=38): 12779 1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). [hyper(282,a,12778,a),flip(a)]. given #11828 (H,wt=56): 9229 (L(x,y * (1 / (z * y)),y * (1 / (z * y))) * (u / (y * (1 / (z * y))))) / K(y,y \ 1) = ((y * (1 / (z * y))) * (((y * (1 / (z * y))) / u) / x)) \ (1 / z). [hyper(73,a,1891,a(flip),b,9156,a)]. given #11829 (H,wt=44): 12781 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) / K(x,x \ 1). [para(5732(a,1),9229(a,1,1,1)),flip(a)]. given #11830 (H,wt=44): 12782 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) * K(x \ 1,x). [hyper(227,a,6497,a(flip),b,12781,a)]. given #11831 (H,wt=44): 12784 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) * K(x,x \ 1). [para(5378(a,1),12782(a,2,2))]. given #11832 (H,wt=44): 12785 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (K(x,x \ 1) * (z / (x * (1 / (y * x))))). [hyper(227,a,9123,a(flip),b,12784,a)]. given #11833 (H,wt=42): 12786 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / T((1 / (y * x)) * x,x \ 1)). [para(9194(a,1),12785(a,2,2))]. given #11834 (H,wt=40): 12787 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / T(1 / T(y,x),x \ 1)). [para(336(a,1),12786(a,2,2,2,1))]. given #11835 (H,wt=34): 12788 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / (1 / y)). [para(1578(a,1),12787(a,2,2,2))]. given #11836 (H,wt=34): 12790 ((x * (1 / (y * x))) * ((x * (1 / ((z * y) * x))) / u)) \ (1 / y) = L(u,y,y) * (z / (1 / y)). [para(11658(a,1),12788(a,1,1,2,1))]. given #11837 (H,wt=34): 12791 ((x * (1 / (y * x))) * (x * (1 / ((z * (u * y)) * x)))) \ (1 / y) = L(z,y,y) * (u / (1 / y)). [para(11658(a,1),12790(a,1,1,2))]. given #11838 (H,wt=34): 12792 (x * (1 / (((x * (1 / ((y * (z * u)) * x))) \ u) * x))) \ (1 / u) = L(y,u,u) * (z / (1 / u)). [para(9884(a,1),12791(a,1,1))]. given #11839 (H,wt=58): 12141 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12140(a,1),10396(a,1,1,2))]. given #11840 (H,wt=56): 12793 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1958(a,1),12141(a,2,1))]. given #11841 (H,wt=38): 12794 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(227,a,11977,a(flip),b,12793,a)]. given #11842 (H,wt=36): 12796 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10251(a,1),12794(a,1,1))]. given #11843 (H,wt=25): 12797 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(11088,a,12796,a)]. given #11844 (H,wt=17): 12798 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(227,a,12500,a(flip),b,12797,a(flip))]. given #11845 (H,wt=13): 12799 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(5200,a,12798,a),flip(a)]. given #11846 (H,wt=8): 12804 K(a(x,y,z),z) = 1. [hyper(227,a,365,a(flip),b,12799,a(flip))]. given #11847 (H,wt=11): 12810 T(a(x,y,z),z) = a(x,y,z). [hyper(37,a,12804,a)]. given #11848 (H,wt=13): 12811 a(x,y,z) * z = z * a(x,y,z). [para(12810(a,1),113(a,1,2)),flip(a)]. given #11849 (H,wt=16): 12812 x * a(y,z,x) != u | a(y,z,x) * x = u. [para(12810(a,1),210(a,1,2))]. given #11850 (H,wt=17): 12800 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12798(a,2),11857(a,1,1))]. given #11851 (H,wt=17): 12802 a(x,y,K(z,T(u,w))) = T(K(a(x,y,z),u),w). [hyper(227,a,6555,a(flip),b,12799,a)]. given #11852 (H,wt=17): 12807 a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. [para(12799(a,2),6443(a,1,1))]. given #11853 (H,wt=13): 12815 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(10152,a,12807,a)]. given #11854 (H,wt=15): 12816 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(12489,a,12815,a)]. given #11855 (H,wt=17): 12813 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(439,a,12800,a)]. given #11856 (H,wt=17): 12814 a(x,y,K(z,T(u,w))) = T(a(x,y,K(z,u)),w). [para(12799(a,2),12802(a,2,1))]. given #11857 (H,wt=18): 12817 K(x,a(y,z,u)) != w | K(x,x * a(y,z,u)) = w. [para(12815(a,1),12489(a,1))]. given #11858 (H,wt=21): 12801 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12798(a,2),11859(a,1,1))]. given #11859 (H,wt=21): 12819 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(439,a,12801,a)]. given #11860 (H,wt=22): 12803 K((x * y) * z,x * (y * z)) = a(x,y,K(z,(x * y) * z)). [hyper(5243,a,12799,a(flip))]. given #11861 (H,wt=25): 12805 a(x,y,K(z,(x * y) * z)) != u | K((x * y) * z,x * (y * z)) = u. [para(12799(a,2),5243(a,1))]. given #11862 (H,wt=26): 12808 (a(x,y,z) \ (a(x,y,K(z,u \ 1)) * w)) / w = T(a(x,y,z) \ 1,u). [para(12799(a,2),12725(a,1,1,2,1))]. given #11863 (H,wt=27): 12806 (a(x,y,K(z,(x * y) * z)) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. [para(12799(a,2),5313(a,1,1,1))]. given #11864 (H,wt=27): 12820 (a(x,y,K(z,z * (x * y))) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. [para(5344(a,1),12806(a,1,1,1,3))]. given #11865 (H,wt=33): 12809 K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (a(x,y,K(z,u \ 1)) * w) / a(x,y,z). [para(12799(a,2),12727(a,2,1,1))]. given #11866 (H,wt=35): 12818 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(9119(a,1),12813(a,1,1))]. given #11867 (H,wt=35): 12821 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(10926(a,1),12818(a,1,2,1))]. given #11868 (H,wt=25): 12822 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(227,a,12813,a(flip),b,12821,a(flip))]. given #11869 (H,wt=65): 9055 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(227,a,8380,a(flip),b,5785,a)]. given #11870 (H,wt=63): 12823 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9201(a,1),9055(a,1,2,1,2,2,2))]. given #11871 (H,wt=61): 12824 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9109(a,1),12823(a,1,2,1,2,2))]. given #11872 (H,wt=61): 12825 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7428(a,1),12824(a,1,2,1))]. given #11873 (H,wt=59): 12826 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8381(a,1),12825(a,1,2,1,2))]. given #11874 (H,wt=54): 12827 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6743(a,1),12826(a,1,2,1,2))]. given #11875 (H,wt=52): 12829 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7448(a,1),12827(a,1,2,1))]. given #11876 (H,wt=50): 12830 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9201(a,1),12829(a,1,2,2,1,2,1,2,2))]. given #11877 (H,wt=48): 12831 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9109(a,1),12830(a,1,2,2,1,2,1,2))]. given #11878 (H,wt=48): 12832 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7399(a,1),12831(a,1,2,2,1,2))]. given #11879 (H,wt=46): 12833 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10165(a,1),12832(a,1,2,2,1,2,2))]. given #11880 (H,wt=41): 12834 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6063(a,1),12833(a,1,2,2,1,2,2))]. given #11881 (H,wt=39): 12836 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7400(a,1),12834(a,1,2,2,1,2))]. given #11882 (H,wt=39): 12837 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4985(a,1),12836(a,1,2,2,1))]. given #11883 (H,wt=39): 12838 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6903(a,2),12837(a,1,2))]. given #11884 (H,wt=35): 12839 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(227,a,6867,a(flip),b,12838,a(flip)),flip(a)]. given #11885 (H,wt=33): 12840 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1475(a,1),12839(a,1,2)),flip(a)]. given #11886 (H,wt=31): 12841 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(227,a,7469,a(flip),b,12840,a)]. given #11887 (H,wt=25): 12842 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1904(a,1),12841(a,1,1)),flip(a)]. given #11888 (H,wt=29): 12843 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(227,a,12271,a,b,12842,a(flip)),flip(a)]. given #11889 (H,wt=23): 12844 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1904(a,1),12843(a,1,1))]. given #11890 (H,wt=30): 12845 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(12844(a,1),7474(a,1,2))]. given #11891 (H,wt=23): 12846 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(7639,a,12845,a),flip(a)]. given #11892 (H,wt=23): 12847 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(227,a,7434,a,b,12846,a)]. given #11893 (H,wt=23): 12848 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(227,a,11287,a(flip),b,12847,a(flip)),flip(a)]. given #11894 (H,wt=23): 12849 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(227,a,7428,a,b,12848,a)]. given #11895 (H,wt=23): 12850 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11288,a,12849,a)]. given #11896 (H,wt=31): 12851 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(227,a,11558,a,b,12850,a(flip)),flip(a)]. given #11897 (H,wt=29): 12852 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(227,a,11864,a(flip),b,12851,a)]. given #11898 (H,wt=23): 12853 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7637,a,12852,a)]. given #11899 (H,wt=23): 12855 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(227,a,7483,a,b,12853,a(flip)),flip(a)]. given #11900 (H,wt=26): 12854 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(12852(a,1),7637(a,1))]. given #11901 (H,wt=39): 12856 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(227,a,12546,a,b,12855,a(flip)),flip(a)]. given #11902 (H,wt=29): 12857 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(8886,a,12856,a)]. given #11903 (H,wt=23): 12858 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(227,a,12701,a(flip),b,12857,a(flip)),flip(a)]. given #11904 (H,wt=21): 12859 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(8702(a,1),12858(a,1,1)),flip(a)]. given #11905 (H,wt=12): 12860 K(x,K(y * z,a(y,z,u))) = 1. [hyper(227,a,8566,a(flip),b,12859,a)]. given #11906 (H,wt=14): 12861 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(12854,a,12860,a)]. given #11907 (H,wt=22): 12864 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(12861(a,1),9534(a,1,2)),flip(a)]. given #11908 (H,wt=20): 12865 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(227,a,12,a(flip),b,12864,a)]. given #11909 (H,wt=23): 12867 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(227,a,8616,a,b,12865,a(flip)),flip(a)]. given #11910 (H,wt=23): 12868 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12687(a,2),12867(a,1,1))]. given #11911 (H,wt=23): 12869 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(227,a,12355,a,b,12868,a(flip)),flip(a)]. given #11912 (H,wt=15): 12870 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(227,a,12682,a(flip),b,12869,a(flip)),flip(a)]. given #11913 (H,wt=17): 12871 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(227,a,12816,a,b,12870,a),flip(a)]. given #11914 (H,wt=15): 12873 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(227,a,12312,a(flip),b,12871,a)]. given #11915 (H,wt=13): 12874 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(227,a,12488,a(flip),b,12873,a(flip))]. given #11916 (H,wt=25): 12875 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(12874(a,1),12315(a,1,1,2))]. given #11917 (H,wt=13): 12876 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(227,a,10154,a(flip),b,12875,a(flip))]. given #11918 (H,wt=13): 12877 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(227,a,12874,a(flip),b,12876,a(flip))]. given #11919 (H,wt=13): 12883 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(227,a,12815,a(flip),b,12877,a)]. given #11920 (H,wt=15): 12881 a(x,y,K(z \ u,z)) = a(z,y,K(x,u)). [hyper(11433,a,12877,a)]. given #11921 (H,wt=15): 12884 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(227,a,11442,a(flip),b,12877,a)]. given #11922 (H,wt=15): 12889 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(12883(a,2),4996(a,2,2)),flip(a)]. given #11923 (H,wt=15): 12893 a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). [hyper(227,a,12877,a(flip),b,12881,a(flip)),flip(a)]. given #11924 (H,wt=15): 12894 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(12877(a,2),12889(a,1,2))]. given #11925 (H,wt=15): 12895 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [para(13(a,1),12893(a,1,3,2)),flip(a)]. given #11926 (H,wt=15): 12896 T(x,a(y,z,u) \ x) = T(x,a(u,z,y)). [hyper(227,a,12798,a,b,12894,a(flip)),flip(a)]. given #11927 (H,wt=17): 12879 a(K(x,y \ 1),z,u) = a(x \ 1,z,K(u,y)). [para(5378(a,1),12876(a,1,1))]. given #11928 (H,wt=17): 12882 x / (a(y,z,K(u,w)) * x) = a(w,z,K(u,y)). [hyper(227,a,10151,a,b,12877,a),flip(a)]. given #11929 (H,wt=16): 12899 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(12882(a,1),10153(a,1))]. given #11930 (H,wt=16): 12901 a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. [para(12876(a,2),12899(a,1))]. given #11931 (H,wt=16): 12902 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(12877(a,2),12899(a,1))]. given #11932 (H,wt=16): 12904 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(12874(a,2),12902(a,1))]. given #11933 (H,wt=17): 12886 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(12877(a,1),12798(a,2,2))]. given #11934 (H,wt=17): 12887 a(x \ 1,y,K(z,u)) = K(x,a(u,y,z) \ 1). [hyper(227,a,5378,a(flip),b,12883,a)]. given #11935 (H,wt=17): 12898 a(x \ 1,y,K(z,u)) = a(x,y,K(z,u \ 1)). [hyper(227,a,12876,a(flip),b,12879,a(flip))]. given #11936 (H,wt=15): 12908 a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). [hyper(227,a,12884,a(flip),b,12898,a(flip))]. given #11937 (H,wt=17): 12907 a(x,y,K(z,u \ 1)) = K(x,a(u,y,z) \ 1). [hyper(227,a,12887,a(flip),b,12898,a(flip))]. given #11938 (H,wt=17): 12909 a(x * y,z,K(u,x \ 1)) = a(x,z,K(u,y)). [hyper(227,a,12895,a(flip),b,12908,a)]. given #11939 (H,wt=18): 12890 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(12883(a,2),5001(a,1,2))]. given #11940 (H,wt=18): 12897 (a(x,y,z) * u) / a(x,y,z) = T(u,a(z,y,x)). [hyper(2507,a,12896,a)]. given #11941 (H,wt=15): 12914 T(x,a(y,z,u) \ 1) = T(x,a(u,z,y)). [hyper(12720,a,12897,a)]. given #11942 (H,wt=18): 12900 a(x,y,K(z \ u,z)) != w | a(z,y,K(x,u)) = w. [para(11432(a,2),12899(a,1))]. given #11943 (H,wt=18): 12903 K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. [para(12873(a,2),12901(a,1))]. given #11944 (H,wt=18): 12905 a(x,y,K(z \ u,z)) != w | a(x,y,K(u,z)) = w. [para(12881(a,2),12902(a,1))]. given #11945 (H,wt=18): 12913 x * a(y,z,K(u,x)) != w | T(x,a(u,z,y)) = w. [para(12877(a,2),12890(a,1,2))]. given #11946 (H,wt=20): 12885 x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. [para(12877(a,2),10156(a,1,2))]. given #11947 (H,wt=20): 12891 a(x \ 1,y,K(z,u)) != w | K(x,a(u,y,z) \ 1) = w. [para(12883(a,2),5380(a,1))]. given #11948 (H,wt=20): 12915 T(x * a(y,z,u),a(u,z,y)) = T(a(y,z,u),1) * x. [hyper(227,a,12723,a(flip),b,12914,a(flip))]. given #11949 (H,wt=18): 12918 T(x * a(y,z,u),a(u,z,y)) = a(y,z,u) * x. [para(144(a,1),12915(a,2,1))]. given #11950 (H,wt=20): 12917 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(10155(a,1),12885(a,1))]. given #11951 (H,wt=21): 12880 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(12876(a,1),12326(a,1,2))]. given #11952 (H,wt=21): 12920 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(227,a,12758,a,b,12880,a(flip)),flip(a)]. given #11953 (H,wt=21): 12921 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10504(a,1),12920(a,1,1))]. given #11954 (H,wt=21): 12922 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(12886(a,2),12921(a,1,1))]. given #11955 (H,wt=21): 12923 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(2526,a,12922,a)]. given #11956 (H,wt=17): 12924 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(227,a,12819,a(flip),b,12923,a(flip))]. given #11957 (H,wt=22): 12878 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(12876(a,1),134(a,1,2))]. given #11958 (H,wt=22): 12888 K(x * (y * z),(x * y) * z) = a((x * y) * z,y,K(z,x)). [hyper(6178,a,12883,a(flip))]. given #11959 (H,wt=22): 12892 a(x,y,z) \ (a(u,y,K(z,x)) * w) = T(a(x,y,z),u) \ w. [para(12883(a,2),6420(a,1,2,1))]. given #11960 (H,wt=22): 12926 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(10156,a,12878,a)]. given #11961 (H,wt=23): 12919 T(x * a(y,z,u),a(u,z,y)) != x * w | T(a(y,z,u),x) = w. [para(12918(a,2),167(a,2)),flip(a)]. given #11962 (H,wt=23): 12925 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(227,a,12248,a(flip),b,12924,a(flip))]. given #11963 (H,wt=21): 12928 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9780(a,1),12925(a,1,2,1))]. given #11964 (H,wt=21): 12929 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(227,a,12822,a(flip),b,12928,a(flip)),flip(a)]. given #11965 (H,wt=17): 12930 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4954(a,2),12929(a,1,2,1,2))]. given #11966 (H,wt=13): 12931 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(733(a,1),12930(a,1,2,1)),flip(a)]. given #11967 (H,wt=15): 12932 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(72,a,12931,a(flip),b,4996,a(flip))]. given #11968 (H,wt=13): 12933 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5049,a,12932,a),flip(a)]. given #11969 (H,wt=13): 12934 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(227,a,11365,a,b,12933,a),flip(a)]. given #11970 (H,wt=13): 12936 K(x,L(y,z,y)) != u | K(x,y) = u. [para(12933(a,1),6056(a,1))]. given #11971 (H,wt=13): 12937 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(227,a,12059,a,b,12934,a),flip(a)]. given #11972 (H,wt=13): 12940 R(K(x,y),y,z) != u | K(x,y) = u. [para(12937(a,2),6309(a,1))]. given #11973 (H,wt=13): 12941 R(K(x,y),z,x) != u | K(x,y) = u. [para(12937(a,2),7303(a,1))]. given #11974 (H,wt=13): 12944 K(R(x,y,x),z) != u | K(x,z) = u. [para(6914(a,1),12941(a,1))]. given #11975 (H,wt=17): 12938 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(9347,a,12937,a),flip(a)]. given #11976 (H,wt=17): 12945 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(5623,a,12938,a),flip(a)]. given #11977 (H,wt=18): 12939 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(12937(a,1),109(a,1,1))]. given #11978 (H,wt=21): 12943 R(K(x,y),y * K(z,x),u) != w | K(x,y * K(z,x)) = w. [para(7040(a,1),12940(a,1,1))]. given #11979 (H,wt=23): 12927 K(a(x,y,z),(y * z) \ (x \ 1)) = a((x * y) * z,y,K(z,x)). [hyper(227,a,9486,a,b,12888,a(flip)),flip(a)]. given #11980 (H,wt=23): 12935 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(12933(a,1),504(a,1,2))]. given #11981 (H,wt=20): 12948 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(11387(a,1),12935(a,1,2))]. given #11982 (H,wt=19): 12949 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6278,a,12948,a)]. given #11983 (H,wt=23): 12946 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(12945(a,1),5102(a,1,1,2))]. given #11984 (H,wt=17): 12951 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(5236,a,12946,a),flip(a)]. given #11985 (H,wt=24): 12910 (a(x,y,z) \ (a(u,y,K(z,x)) * w)) / w = T(a(x,y,z) \ 1,u). [para(12908(a,1),12808(a,1,1,2,1))]. given #11986 (H,wt=19): 12953 (T(a(x,y,z),u) \ w) / w = T(a(x,y,z) \ 1,u). [para(12892(a,1),12910(a,1,1))]. given #11987 (H,wt=19): 12954 (x * T(a(y,z,u),w)) \ x = T(a(y,z,u) \ 1,w). [hyper(971,a,12953,a)]. given #11988 (H,wt=23): 12955 T(T(x,T(a(y,z,u) \ 1,w)),x * (1 * T(a(y,z,u),w))) = x. [para(12954(a,1),4743(a,1,1,2))]. given #11989 (H,wt=24): 12912 a(x * (y * z),y,K(z,x \ 1)) = K((x * y) * z,x * (y * z)). [hyper(8637,a,12907,a(flip)),flip(a)]. given #11990 (H,wt=23): 12956 a(x * (y * z),y,K(z,x \ 1)) = a(x,y,K(z,(x * y) * z)). [hyper(227,a,12803,a(flip),b,12912,a)]. given #11991 (H,wt=23): 12957 a(x * (y * z),y,K(z,x \ 1)) = a(x,y,K(z,z * (x * y))). [para(5344(a,1),12956(a,2,3))]. given #11992 (H,wt=19): 12958 a(x,y,K(z,z * (x * y))) = a(x,y,K(z,y * z)). [hyper(227,a,12909,a(flip),b,12957,a(flip))]. given #11993 (H,wt=12): 12959 a(x,y,K(z,z * (x * y))) = 1. [hyper(227,a,5928,a(flip),b,12958,a)]. given #11994 (H,wt=12): 12961 a(x,y,K(z,(x * y) * z)) = 1. [para(5344(a,2),12959(a,1,3))]. given #11995 (H,wt=13): 12963 K((x * y) * z,x * (y * z)) = 1. [hyper(12805,a,12961,a)]. given #11996 (H,wt=17): 12965 T((x * y) * z,x * (y * z)) = (x * y) * z. [hyper(37,a,12963,a)]. given #11997 (H,wt=18): 12962 (1 / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. [para(12959(a,1),12820(a,1,1,1))]. given #11998 (H,wt=18): 12968 (a(x,y,z) \ 1) \ (x * (y * z)) = (x * y) * z. [para(11595(a,1),12962(a,1,1))]. given #11999 (H,wt=16): 12971 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(227,a,12713,a(flip),b,12968,a(flip)),flip(a)]. given #12000 (H,wt=16): 12972 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(73,a,12968,a(flip),b,12713,a(flip)),flip(a)]. given #12001 (H,wt=18): 12973 (x * (y * z)) / ((x * y) * z) = a(x,y,z) \ 1. [para(12968(a,1),62(a,1,2))]. given #12002 (H,wt=20): 12974 a(x,y,(x * y) \ z) \ z = x * (y * ((x * y) \ z)). [hyper(72,a,14,a(flip),b,12971,a)]. given #12003 (H,wt=23): 12966 ((x * y) * z) * (x * (y * z)) = (x * (y * z)) * ((x * y) * z). [para(12965(a,1),113(a,1,2)),flip(a)]. given #12004 (H,wt=24): 12942 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(12937(a,1),10834(a,1,1))]. given #12005 (H,wt=24): 12978 (1 / (x * (y * (z \ 1)))) \ (z / (x * y)) = a(x,y,z \ 1) \ 1. [hyper(574,a,12973,a)]. given #12006 (H,wt=20): 12982 ((x / y) / z) \ (x / (z * y)) = a(z,y,x \ 1) \ 1. [para(327(a,1),12978(a,1,1))]. given #12007 (H,wt=24): 12981 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6887,a,12942,a)]. given #12008 (H,wt=25): 12979 (a(x,y,z) \ 1) \ (x * (y * z)) != u * w | ((x * y) * z) / w = u. [para(12973(a,1),544(a,1,1))]. given #12009 (H,wt=26): 12916 T(T(x,a(y,z,u)),K(a(u,z,y) \ 1,w)) = T(x,T(a(u,z,y) \ 1,w)). [para(12914(a,1),7385(a,1,1))]. given #12010 (H,wt=26): 12950 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(12949(a,1),11107(a,1,2))]. given #12011 (H,wt=22): 12984 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [hyper(5692,a,12950,a),flip(a)]. given #12012 (H,wt=15): 12985 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(825,a,12984,a),flip(a)]. given #12013 (H,wt=19): 12986 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(12985(a,1),5691(a,1,2))]. given #12014 (H,wt=28): 12906 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(12875(a,2),12904(a,1))]. given #12015 (H,wt=28): 12947 T(a(x,y,z),(y * z) \ (x \ 1)) / a((x * y) * z,y,K(z,x)) = a(x,y,z). [para(12927(a,1),4999(a,1,2))]. given #12016 (H,wt=28): 12952 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(871(a,1),12951(a,1,2,1)),flip(a)]. given #12017 (H,wt=28): 12988 T(a(x,y,z),(y * z) \ (x \ 1)) * a(x,y,K(z,(x * y) * z)) = a(x,y,z). [hyper(12885,a,12947,a)]. given #12018 (H,wt=19): 12990 T(a(x,y,z),(y * z) \ (x \ 1)) * 1 = a(x,y,z). [para(12961(a,1),12988(a,1,2))]. given #12019 (H,wt=17): 12991 T(a(x,y,z),(y * z) \ (x \ 1)) = a(x,y,z). [hyper(82,a,12990,a)]. given #12020 (H,wt=27): 12993 ((x * y) \ (z \ 1)) * (a(z,x,y) \ 1) = a(z,x,y) \ ((x * y) \ (z \ 1)). [para(12991(a,1),659(a,1,2,1))]. given #12021 (H,wt=22): 12995 ((x * y) \ (z \ 1)) * (a(z,x,y) \ 1) = y \ (x \ (z \ 1)). [hyper(227,a,1872,a(flip),b,12993,a)]. given #12022 (H,wt=20): 12997 ((x * y) \ (z \ 1)) / a(z,x,y) = y \ (x \ (z \ 1)). [hyper(227,a,12710,a(flip),b,12995,a(flip)),flip(a)]. given #12023 (H,wt=20): 12998 (x * (y * z)) \ (1 / a(x,y,z)) = z \ (y \ (x \ 1)). [hyper(569,a,12997,a)]. given #12024 (H,wt=20): 12999 (x * (y * z)) \ (a(x,y,z) \ 1) = z \ (y \ (x \ 1)). [para(11595(a,1),12998(a,1,2))]. given #12025 (H,wt=28): 12989 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(227,a,6118,a(flip),b,12952,a)]. given #12026 (H,wt=26): 13003 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(227,a,8533,a(flip),b,12989,a)]. given #12027 (H,wt=23): 13004 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6302,a,13003,a),flip(a)]. given #12028 (H,wt=28): 12996 (1 / (x * y)) * ((x * y) \ (a(x * y,x,y) \ 1)) = y \ (x \ ((x * y) \ 1)). [hyper(1686,a,12995,a)]. given #12029 (H,wt=28): 13007 (1 / (x * y)) * ((x * y) \ (a(x * y,x,y) \ 1)) = y \ (x \ (y \ (x \ 1))). [para(123(a,1),12996(a,2,2,2))]. given #12030 (H,wt=23): 13008 (1 / (x * y)) * ((x * y) \ (1 \ 1)) = y \ (x \ (y \ (x \ 1))). [para(916(a,1),13007(a,1,2,2,1))]. given #12031 (H,wt=21): 13009 (1 / (x * y)) * ((x * y) \ 1) = y \ (x \ (y \ (x \ 1))). [para(50(a,1),13008(a,1,2,2))]. given #12032 (H,wt=21): 13012 (1 / (x * y)) * (y \ (x \ 1)) = y \ (x \ (y \ (x \ 1))). [para(123(a,1),13009(a,1,2))]. given #12033 (H,wt=19): 13013 (x * y) \ (y \ (x \ 1)) = y \ (x \ (y \ (x \ 1))). [hyper(227,a,2098,a(flip),b,13012,a(flip)),flip(a)]. given #12034 (H,wt=21): 13014 x \ ((y \ 1) \ (x \ ((y \ 1) \ 1))) = ((x / y) * x) \ y. [hyper(227,a,4257,a(flip),b,13013,a(flip))]. given #12035 (H,wt=15): 13015 ((x / y) * x) \ y = x \ ((x / y) \ y). [para(2797(a,1),13014(a,1,2)),flip(a)]. given #12036 (H,wt=19): 13016 x / ((y \ z) * (y \ z)) = x * (z \ ((z / y) \ y)). [para(13015(a,1),3992(a,2,2))]. given #12037 (H,wt=19): 13017 (x / y) \ ((x / y) \ y) = y * (x \ ((x / y) \ y)). [para(13015(a,1),3993(a,2,2))]. given #12038 (H,wt=27): 13018 (x * (x * (y \ ((y / x) \ x)))) * z = (x * (x / y)) * (((x \ y) / x) \ z). [para(13017(a,1),11164(a,1,1,2))]. given #12039 (H,wt=30): 12976 ((x * (y \ 1)) * ((z \ 1) \ 1)) / (x * ((z \ y) \ 1)) = a(x,y \ 1,(z \ 1) \ 1). [para(257(a,1),12972(a,2,2,2)),flip(a)]. given #12040 (H,wt=26): 13019 ((x \ (y / z)) \ 1) / (z * ((x \ y) \ 1)) = a(z,y \ 1,(x \ 1) \ 1). [para(752(a,1),12976(a,1,1))]. given #12041 (H,wt=26): 13020 (1 / ((x \ (y / z)) \ 1)) \ ((x \ y) / z) = a(z,y \ 1,(x \ 1) \ 1). [hyper(574,a,13019,a)]. given #12042 (H,wt=22): 13021 (x \ (y / z)) \ ((x \ y) / z) = a(z,y \ 1,(x \ 1) \ 1). [para(62(a,1),13020(a,1,1))]. given #12043 (H,wt=31): 12911 K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). [para(12908(a,1),12809(a,2,1,1))]. given #12044 (H,wt=31): 12983 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(227,a,11406,a,b,12981,a(flip)),flip(a)]. given #12045 (H,wt=24): 13025 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11910(a,1),12983(a,1,1))]. given #12046 (H,wt=24): 13026 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7486(a,1),13025(a,1,1,2))]. given #12047 (H,wt=25): 13027 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(12769,a,13026,a)]. given #12048 (H,wt=29): 13028 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7682(a,2),13027(a,1,2,2))]. given #12049 (H,wt=29): 13029 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8440(a,2),13028(a,1,2))]. given #12050 (H,wt=31): 13005 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(227,a,12598,a(flip),b,13004,a)]. given #12051 (H,wt=27): 13031 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),13005(a,1,2,1,2))]. given #12052 (H,wt=31): 13024 K(a(x,y,z),u \ 1) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). [para(5378(a,1),12911(a,1,1))]. given #12053 (H,wt=31): 13032 a(x,y,K(z,u \ 1)) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). [para(12799(a,2),13024(a,1,1))]. given #12054 (H,wt=29): 13033 a(x,y,K(z,u)) * (w * (a(u,y,z) \ 1)) = (a(x,y,K(z,u)) * w) / a(u,y,z). [para(12908(a,1),13032(a,1,1))]. given #12055 (H,wt=15): 13034 K(a(x,y,z) \ 1,u) = a(u,y,K(z,x)). [hyper(18,a,12911,a,b,13033,a),flip(a)]. given #12056 (H,wt=24): 13035 T(T(x,a(y,z,u)),a(w,z,K(y,u))) = T(x,T(a(u,z,y) \ 1,w)). [para(13034(a,1),12916(a,1,2))]. given #12057 (H,wt=32): 12994 (a(x,y,z) / ((x * y) * z)) / ((y * z) \ (x \ 1)) = K((x * y) * z,(y * z) \ (x \ 1)). [para(12991(a,1),5175(a,1,1,1))]. given #12058 (H,wt=32): 13002 (x * (K(y,y \ 1) * z)) \ (a(K(y,y \ 1),x,z) \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). [para(9137(a,1),12999(a,1,1))]. given #12059 (H,wt=32): 13036 (1 / (a(x,y,z) / ((x * y) * z))) \ (x * (y * z)) = K((x * y) * z,(y * z) \ (x \ 1)). [hyper(573,a,12994,a)]. given #12060 (H,wt=29): 13038 (1 / (1 / (x * (y * z)))) \ (x * (y * z)) = K((x * y) * z,(y * z) \ (x \ 1)). [para(12717(a,1),13036(a,1,1,2))]. given #12061 (H,wt=27): 13039 K((x * y) * z,(y * z) \ (x \ 1)) = K(x * (y * z),(x * (y * z)) \ 1). [hyper(6704,a,13038,a),flip(a)]. given #12062 (H,wt=27): 13040 K((x * y) * z,(y * z) \ (x \ 1)) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(227,a,8154,a(flip),b,13039,a)]. given #12063 (H,wt=30): 13041 K((x * y) * z,(y * z) \ (x \ 1)) != u | K(x * (y * z),(y * z) \ (x \ 1)) = u. [para(13039(a,2),8156(a,1))]. given #12064 (H,wt=32): 13037 (x * (K(y,y \ 1) * z)) \ (a(y,x,K(z,y \ 1)) \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). [para(12876(a,1),13002(a,1,2,1))]. given #12065 (H,wt=25): 13042 (x * (K(y,y \ 1) * z)) \ (1 \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). [para(7283(a,1),13037(a,1,2,1))]. given #12066 (H,wt=23): 13043 (x * (K(y,y \ 1) * z)) \ 1 = z \ (x \ (K(y,y \ 1) \ 1)). [para(50(a,1),13042(a,1,2))]. given #12067 (H,wt=23): 13045 (K(x,x \ 1) * y) \ (z \ 1) = y \ (z \ (K(x,x \ 1) \ 1)). [hyper(311,a,13043,a)]. given #12068 (H,wt=21): 13047 x \ (y \ (K(z,z \ 1) \ 1)) = ((y * x) \ z) * (1 / z). [hyper(227,a,9202,a(flip),b,13045,a(flip))]. given #12069 (H,wt=21): 13048 x \ (y \ (K(z,z \ 1) * 1)) = ((y * x) \ z) * (1 / z). [para(6479(a,1),13047(a,1,2,2))]. given #12070 (H,wt=19): 13049 x \ (y \ K(z,z \ 1)) = ((y * x) \ z) * (1 / z). [para(12(a,1),13048(a,1,2,2))]. given #12071 (H,wt=19): 13050 x \ ((y \ z) * (1 / z)) = ((y * x) \ z) * (1 / z). [para(3683(a,1),13049(a,1,2))]. given #12072 (H,wt=25): 13052 x \ ((y \ (z * u)) * (1 / (z * u))) = (y * x) \ K(u \ z,z \ u). [hyper(227,a,8393,a(flip),b,13050,a)]. given #12073 (H,wt=21): 13056 (x * y) \ K(z \ x,x \ z) = y \ (z * (1 / (x * z))). [para(13(a,1),13052(a,1,2,1)),flip(a)]. given #12074 (H,wt=21): 13057 (x * (y * z)) \ K(y \ x,x \ y) = (z \ (1 / y)) / x. [hyper(227,a,9268,a(flip),b,13056,a)]. given #12075 (H,wt=18): 13058 L(x,y,z) \ (1 / (z * y)) = (x \ (1 / y)) / z. [hyper(227,a,8596,a(flip),b,13057,a(flip)),flip(a)]. given #12076 (H,wt=18): 13060 ((x \ (1 / y)) / z) * (z * y) = L(x,y,z) \ 1. [para(13058(a,1),259(a,1,1))]. given #12077 (H,wt=18): 13061 ((x / y) / z) * (z * y) = L(1 / x,y,z) \ 1. [para(339(a,1),13060(a,1,1,1))]. given #12078 (H,wt=13): 13062 L(1 / x,y,z) \ 1 = L(x,y,z). [hyper(10851,a,13061,a),flip(a)]. given #12079 (H,wt=13): 13064 L(x \ 1,y,z) = L(x,y,z) \ 1. [para(62(a,1),13062(a,1,1,1)),flip(a)]. given #12080 (H,wt=15): 13067 x * L(x \ 1,y,z) = L(x,y,z) \ x. [para(13064(a,2),667(a,1,2))]. given #12081 (H,wt=16): 13063 L(1 / x,y,z) \ 1 != u | L(x,y,z) = u. [para(13061(a,1),10851(a,1))]. given #12082 (H,wt=17): 13065 (1 / x) \ L(1 / y,z,u) = x / L(y,z,u). [para(13062(a,1),317(a,1,2)),flip(a)]. given #12083 (H,wt=19): 13066 (x * y) / (y * L(y \ 1,z,u)) = x * L(y,z,u). [para(13062(a,1),11699(a,2,2))]. given #12084 (H,wt=17): 13068 (x * y) / (L(y,z,u) \ y) = x * L(y,z,u). [para(13067(a,1),13066(a,1,2))]. given #12085 (H,wt=17): 13069 (x * L(y,z,u)) \ (x * y) = L(y,z,u) \ y. [para(13068(a,1),65(a,1,1))]. given #12086 (H,wt=20): 13070 (x * y) / (L(y,z,u) \ y) != w | x * L(y,z,u) = w. [para(13069(a,1),292(a,1,2)),flip(b)]. given #12087 (H,wt=25): 13054 (x * (y * (x * y))) \ (1 / (x \ 1)) = ((y * (x * y)) \ x) * (1 / x). [hyper(227,a,4913,a,b,13050,a(flip)),flip(a)]. given #12088 (H,wt=21): 13071 ((x * (y * x)) \ y) * (1 / y) = (y * (x * (y * x))) \ y. [para(62(a,1),13054(a,1,2)),flip(a)]. given #12089 (H,wt=19): 13072 ((x * (y * x)) \ y) * (1 / y) = 1 / (x * (y * x)). [hyper(227,a,1510,a(flip),b,13071,a)]. given #12090 (H,wt=21): 13073 1 / (((x / (1 / y)) * x) * y) = y \ (1 / (x * (y * x))). [hyper(72,a,13072,a(flip),b,3968,a),flip(a)]. given #12091 (H,wt=19): 13074 (x \ (1 / (x * y))) / y = x \ (1 / (y * (x * y))). [hyper(227,a,4181,a(flip),b,13073,a(flip)),flip(a)]. given #12092 (H,wt=25): 13059 (x * y) \ K((y / z) \ x,x \ (y / z)) = (z \ (1 / (y / z))) / x. [para(16(a,1),13057(a,1,1,2))]. given #12093 (H,wt=25): 13079 (x \ y) \ (1 / (z * ((x \ y) * z))) = (((y \ x) / z) * (y \ x)) / z. [para(11621(a,1),13074(a,1,1)),flip(a)]. given #12094 (H,wt=25): 13080 (x * y) \ K((y / z) \ x,x \ (y / z)) = (z * (1 / (y * z))) / x. [para(3415(a,1),13059(a,2,1))]. given #12095 (H,wt=25): 13081 (x \ y) \ (1 / (x * ((x \ y) * x))) = (((x * y) \ x) * (y \ x)) / x. [para(967(a,1),13079(a,2,1,1))]. given #12096 (H,wt=23): 13083 (x \ y) \ (1 / (x * ((x \ y) * x))) = ((y \ x) / T(y,x)) / x. [para(2183(a,1),13081(a,2,1))]. given #12097 (H,wt=25): 13082 (x * y) \ K((y / z) \ x,x \ (y / z)) = z * (1 / ((x * y) * z)). [hyper(227,a,11658,a(flip),b,13080,a)]. given #12098 (H,wt=23): 13084 x \ ((x / y) * (1 / (z * (x / y)))) = y * (1 / ((z * x) * y)). [hyper(227,a,13056,a(flip),b,13082,a(flip)),flip(a)]. given #12099 (H,wt=21): 13085 x \ (K(y \ x,x \ y) / z) = y * (1 / ((z * x) * y)). [para(4270(a,1),13084(a,1,2))]. given #12100 (H,wt=21): 13087 x * (y * (1 / ((z * x) * y))) = K(y \ x,x \ y) / z. [para(13085(a,1),14(a,1,2))]. given #12101 (H,wt=23): 13086 (x \ (1 / y)) \ (z * (1 / ((y * x) * z))) = K(z \ x,x \ z). [hyper(72,a,13085,a(flip),b,10339,a)]. given #12102 (H,wt=17): 13090 K(x \ (y * y),(y * y) \ x) = K(x,x \ 1). [hyper(227,a,3787,a(flip),b,13086,a(flip))]. given #12103 (H,wt=17): 13091 K(x * (x / y),x \ (x \ y)) = K(y,y \ 1). [hyper(227,a,9000,a(flip),b,13090,a(flip)),flip(a)]. given #12104 (H,wt=17): 13092 K(x * (y \ x),x \ (y / x)) = K(y,y \ 1). [hyper(9001,a,13091,a)]. given #12105 (H,wt=23): 13094 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(y,y \ 1) * z. [para(13092(a,1),10552(a,2,1))]. given #12106 (H,wt=27): 13051 x \ ((y \ 1) * (z * (1 / (u * z)))) = ((((u \ 1) \ y) * x) \ z) * (1 / z). [para(9333(a,1),13049(a,1,2))]. given #12107 (H,wt=28): 13088 x \ (K(y \ x,x \ y) / z) != u * w | u \ (y * (1 / ((z * x) * y))) = w. [para(13085(a,2),457(a,1))]. given #12108 (H,wt=29): 13055 (1 / x) * (((y * (z / x)) \ u) * (1 / u)) = (((u * (1 / (x * u))) \ y) * z) \ x. [para(13050(a,1),9263(a,1,2))]. given #12109 (H,wt=29): 13078 ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = ((x \ 1) * ((x \ 1) * y)) / y. [para(4202(a,1),13074(a,1,1)),flip(a)]. given #12110 (H,wt=29): 13089 x * (1 / (((y * (1 / (z * y))) \ u) * x)) = (1 / u) * (K(x \ y,y \ x) / z). [para(13087(a,1),9444(a,1,2)),flip(a)]. given #12111 (H,wt=29): 13097 ((((x * (1 / y)) / z) \ x) \ u) * (1 / u) = (((u * (1 / (x * u))) \ z) * y) \ x. [hyper(227,a,9261,a,b,13055,a(flip)),flip(a)]. given #12112 (H,wt=27): 13100 (((x * (1 / (y * x))) \ z) * u) \ y = (((z / y) * (y * u)) \ x) * (1 / x). [para(1451(a,1),13097(a,1,1,1)),flip(a)]. given #12113 (H,wt=29): 13098 ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = y / ((x \ 1) \ ((x \ 1) \ y)). [hyper(227,a,1175,a(flip),b,13078,a)]. given #12114 (H,wt=29): 13102 ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = y / (x * (((x \ 1) \ 1) * y)). [para(2171(a,1),13098(a,2,2))]. given #12115 (H,wt=25): 13103 ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = x \ (y \ (y / x)). [hyper(227,a,11244,a(flip),b,13102,a)]. given #12116 (H,wt=23): 13104 ((x \ y) \ 1) \ (1 / ((y \ (x \ 1)) \ 1)) = x \ (y \ (y / x)). [para(3868(a,1),13103(a,1,2,2))]. given #12117 (H,wt=19): 13105 ((x \ y) \ 1) \ (y \ (x \ 1)) = x \ (y \ (y / x)). [para(62(a,1),13104(a,1,2))]. given #12118 (H,wt=30): 13101 1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x) = x \ (y \ ((y * z) * u)). [para(13100(a,2),3518(a,1,2,1))]. given #12119 (H,wt=27): 13107 1 / (((x \ (y \ (z * (1 / (u * z))))) * u) * z) = z \ (u \ ((u * y) * x)). [hyper(227,a,12779,a(flip),b,13101,a(flip)),flip(a)]. given #12120 (H,wt=27): 13109 (x * (1 / (y / z))) / (z * (1 / (y * z))) = z * (z \ (y \ ((y * x) * z))). [para(13107(a,1),11661(a,1,2)),flip(a)]. given #12121 (H,wt=23): 13110 (x * (1 / (y / z))) / (z * (1 / (y * z))) = y \ ((y * x) * z). [hyper(227,a,14,a(flip),b,13109,a)]. given #12122 (H,wt=27): 13111 (x * (1 / (y / z))) / (z * (1 / (y * z))) = u * (u \ (y \ ((y * x) * z))). [hyper(227,a,14,a,b,13110,a)]. given #12123 (H,wt=31): 13053 (x * y) / (z * (1 / (((y \ 1) * u) * z))) = (((u \ y) * (y \ (1 / x))) \ z) * (1 / z). [hyper(227,a,11687,a,b,13050,a(flip)),flip(a)]. given #12124 (H,wt=31): 13076 1 / (((x / (1 / (x \ y))) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). [para(1999(a,2),13073(a,2,2,2,2))]. given #12125 (H,wt=31): 13077 ((1 / x) * y) \ (1 / (x * (((1 / x) * y) * x))) = (((1 / x) * y) \ (1 / T(y,x))) / x. [para(625(a,2),13074(a,1,1,2,2)),flip(a)]. given #12126 (H,wt=27): 13115 ((1 / x) * y) \ (1 / (x * (((1 / x) * y) * x))) = ((y \ x) / T(y,x)) / x. [para(344(a,1),13077(a,2,1))]. given #12127 (H,wt=23): 13116 ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) / T(y,x)) / x. [para(625(a,2),13115(a,1,2,2,2))]. given #12128 (H,wt=21): 13117 ((1 / x) * y) \ (1 / (y * x)) = ((y \ x) / T(y,x)) / x. [para(113(a,1),13116(a,1,2,2))]. given #12129 (H,wt=17): 13118 ((x \ y) / T(x,y)) / y = (x \ y) / (x * y). [hyper(581,a,13117,a),flip(a)]. given #12130 (H,wt=21): 13119 (x \ y) \ (1 / (x * ((x \ y) * x))) = (y \ x) / (y * x). [hyper(227,a,13083,a,b,13118,a(flip)),flip(a)]. given #12131 (H,wt=31): 13096 ((((x \ 1) \ y) * (y \ (1 / z))) \ u) * (1 / u) = (z * y) / ((u * (1 / (x * u))) \ y). [hyper(227,a,9272,a(flip),b,13051,a(flip))]. given #12132 (H,wt=31): 13114 1 / (((x / ((1 / y) * x)) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). [para(313(a,1),13076(a,1,2,1,1,2))]. given #12133 (H,wt=31): 13120 1 / (((x \ (x / (1 / y))) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). [para(944(a,1),13114(a,1,2,1,1))]. given #12134 (H,wt=31): 13121 1 / (((x * ((y \ x) \ 1)) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). [para(5410(a,1),13120(a,1,2,1,1))]. given #12135 (H,wt=27): 13122 (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))) = 1 / (((y \ 1) \ x) * (x \ y)). [para(1267(a,1),13121(a,1,2,1)),flip(a)]. given #12136 (H,wt=23): 13123 1 / (((x \ 1) \ y) * (y \ x)) = (y \ x) \ (1 / (x / (1 / y))). [para(1394(a,1),13122(a,1,2,2)),flip(a)]. given #12137 (H,wt=23): 13124 1 / (((x \ 1) \ y) * (y \ x)) = (y \ x) \ ((y \ 1) * (1 / x)). [para(1129(a,1),13123(a,2,2))]. given #12138 (H,wt=21): 13125 (x \ y) \ ((x \ 1) * (1 / y)) = 1 / ((x / y) \ (x * y)). [para(9762(a,1),13124(a,1,2)),flip(a)]. given #12139 (H,wt=24): 13126 (x \ y) \ ((x \ 1) * (1 / y)) != z | (1 / (x * y)) * (x / y) = z. [para(13125(a,2),316(a,1))]. given #12140 (H,wt=32): 13099 ((1 / x) * (K(y \ y,y \ y) / (z * (u * x)))) \ (1 / x) = L(z,x,x) * (u / (1 / x)). [para(13089(a,1),12792(a,1,1))]. given #12141 (H,wt=26): 13127 ((1 / x) * (1 / (y * (z * x)))) \ (1 / x) = L(y,x,x) * (z / (1 / x)). [para(128(a,1),13099(a,1,1,2,1))]. given #12142 (H,wt=19): 13128 L(x,y,y) * (z / (1 / y)) = L(x * (z * y),y,y). [hyper(1472,a,13127,a),flip(a)]. given #12143 (H,wt=33): 12987 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(6508(a,1),12986(a,1,1,1))]. given #12144 (H,wt=33): 13030 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7479(a,2),13029(a,1,2,2,2))]. given #12145 (H,wt=33): 13075 1 / (((x / (1 / ((1 / x) * y))) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). [para(625(a,2),13073(a,2,2,2,2))]. given #12146 (H,wt=33): 13113 (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (((y \ u) * (u \ (1 / x))) \ z) * (1 / z). [hyper(227,a,11666,a,b,13053,a(flip)),flip(a)]. given #12147 (H,wt=33): 13130 L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * ((1 / y) / ((1 / y) * (u \ z))). [para(708(a,1),13128(a,1,2)),flip(a)]. given #12148 (H,wt=31): 13134 L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * (1 / T(u \ z,y / 1)). [para(6156(a,1),13130(a,2,2))]. given #12149 (H,wt=29): 13135 L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * (1 / T(u \ z,y)). [para(60(a,1),13134(a,2,2,2,2))]. given #12150 (H,wt=25): 13136 L(x * T((1 / y) * z,u),u,u) = L(x,u,u) * (1 / T(z \ y,u)). [para(625(a,2),13135(a,1,1,2))]. given #12151 (H,wt=33): 13132 1 / (((x / (((y \ x) \ 1) \ 1)) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). [para(1064(a,1),13075(a,1,2,1,1,2))]. given #12152 (H,wt=33): 13133 ((1 / x) \ (((y \ z) * (1 / z)) \ u)) * (u \ 1) = (((y \ u) * (u \ (1 / x))) \ z) * (1 / z). [para(317(a,1),13113(a,1,1))]. given #12153 (H,wt=33): 13138 1 / ((((1 / x) \ ((y \ x) \ 1)) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). [para(317(a,1),13132(a,1,2,1,1))]. given #12154 (H,wt=31): 13140 1 / ((x * (((y \ x) \ 1) * x)) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). [para(619(a,1),13138(a,1,2,1))]. given #12155 (H,wt=29): 13141 ((1 / x) * y) \ (1 / (x * T(y,x))) = 1 / (((x \ (y \ 1)) \ 1) * ((1 / x) * y)). [para(3868(a,1),13140(a,1,2,1)),flip(a)]. given #12156 (H,wt=25): 13142 ((1 / x) * y) \ (1 / (x * T(y,x))) = 1 / (1 / ((y \ x) / (y * x))). [para(1731(a,1),13141(a,2,2))]. given #12157 (H,wt=25): 13143 ((1 / x) * y) \ (1 / (x * T(y,x))) = (((y \ x) / (y * x)) \ 1) \ 1. [hyper(227,a,1058,a(flip),b,13142,a)]. given #12158 (H,wt=25): 13144 ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y * x) * ((y \ x) \ 1)) \ 1. [para(125(a,1),13143(a,2,1))]. given #12159 (H,wt=25): 13145 ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) \ 1) \ ((y * x) \ 1). [hyper(227,a,123,a(flip),b,13144,a)]. given #12160 (H,wt=25): 13146 ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) \ 1) \ (x \ (y \ 1)). [para(123(a,1),13145(a,2,2))]. given #12161 (H,wt=23): 13147 ((x \ y) \ 1) \ (y \ (x \ 1)) = ((1 / y) * x) \ (1 / (x * y)). [para(113(a,1),13146(a,1,2,2)),flip(a)]. given #12162 (H,wt=19): 13148 ((x \ y) \ 1) \ (y \ (x \ 1)) = (x \ y) / (x * y). [hyper(227,a,344,a(flip),b,13147,a)]. given #12163 (H,wt=15): 13149 (x \ y) / (x * y) = x \ (y \ (y / x)). [hyper(227,a,13105,a(flip),b,13148,a(flip))]. given #12164 (H,wt=21): 13150 (x \ y) \ (1 / (x * ((x \ y) * x))) = y \ (x \ (x / y)). [hyper(227,a,13119,a,b,13149,a(flip)),flip(a)]. given #12165 (H,wt=19): 13151 (x \ y) \ (1 / (y / (1 / x))) = y \ (x \ (x / y)). [para(2009(a,1),13150(a,1,2,2))]. given #12166 (H,wt=19): 13152 (x \ y) \ ((x \ 1) * (1 / y)) = y \ (x \ (x / y)). [para(1129(a,1),13151(a,1,2))]. given #12167 (H,wt=17): 13153 (1 / (x * y)) * (x / y) = y \ (x \ (x / y)). [hyper(13126,a,13152,a)]. given #12168 (H,wt=33): 13139 x * (((1 / y) * x) \ (((z \ u) * (1 / u)) \ 1)) = (((z \ x) * (x \ (1 / y))) \ u) * (1 / u). [hyper(227,a,1771,a(flip),b,13133,a(flip)),flip(a)]. given #12169 (H,wt=33): 13154 x * (((1 / y) * x) \ ((1 / z) \ ((u \ z) \ 1))) = (((u \ x) * (x \ (1 / y))) \ z) * (1 / z). [para(123(a,1),13139(a,1,2,2))]. given #12170 (H,wt=33): 13155 x * (((1 / y) * x) \ (z * (((z \ u) \ 1) \ 1))) = (((u \ x) * (x \ (1 / y))) \ z) * (1 / z). [para(3825(a,1),13154(a,1,2,2))]. given #12171 (H,wt=29): 13156 (((x \ y) * (y \ (1 / z))) \ u) * (1 / u) = y * ((y \ z) / (u * (1 / (x * u)))). [para(3994(a,1),13155(a,1,2)),flip(a)]. given #12172 (H,wt=29): 13157 x * ((x \ y) / (z * (1 / ((u \ 1) * z)))) = (y * x) / ((z * (1 / (u * z))) \ x). [hyper(227,a,13096,a(flip),b,13156,a(flip))]. given #12173 (H,wt=27): 13158 (x * y) / ((z * (1 / (u * z))) \ y) = y * ((y \ x) / (K(z,z \ 1) * u)). [para(3661(a,1),13157(a,1,2,2)),flip(a)]. given #12174 (H,wt=27): 13159 (x * y) / ((z * (1 / (u * z))) \ y) = y * (K(z,z \ 1) * ((y \ x) / u)). [para(9179(a,1),13158(a,2,2))]. given #12175 (H,wt=34): 13023 (a(x,y,K(z,u)) * w) / a(u,y,z) != v5 * (w * (a(u,y,z) \ 1)) | K(a(u,y,z) \ 1,x) = v5. [para(12911(a,1),20(a,1))]. given #12176 (H,wt=35): 13112 (x * (1 / (y / z))) / (z * (1 / (y * z))) = u * (1 / (((z \ (x \ (u * (1 / (y * u))))) * y) * u)). [para(13107(a,2),13111(a,2,2))]. given #12177 (H,wt=35): 13161 (x * (1 / (y / z))) / (z * (1 / (y * z))) = (u * (1 / (y * u))) / (z \ (x \ (u * (1 / (y * u))))). [hyper(227,a,11658,a,b,13112,a)]. given #12178 (H,wt=36): 13001 1 / ((x * (y * z)) * ((a(x,y,z) \ 1) \ (x * (y * z)))) = (z \ (y \ (x \ 1))) * (1 / (x * (y * z))). [para(12999(a,1),1432(a,2,1))]. given #12179 (H,wt=29): 13162 (x \ (y \ (z \ 1))) * (1 / (z * (y * x))) = 1 / ((z * (y * x)) * ((z * y) * x)). [para(12968(a,1),13001(a,1,2,2)),flip(a)]. given #12180 (H,wt=29): 13163 (x \ (y \ (z \ 1))) * (1 / (z * (y * x))) = 1 / (((z * y) * x) * (z * (y * x))). [para(12966(a,2),13162(a,2,2))]. given #12181 (H,wt=21): 13164 T(1 / ((x * y) * z),x * (y * z)) = z \ (y \ (x \ 1)). [hyper(18,a,1556,a,b,13163,a),flip(a)]. given #12182 (H,wt=29): 13165 (x \ (y \ (z \ 1))) / (1 / ((z * y) * x)) = K(1 / ((z * y) * x),z * (y * x)). [hyper(73,a,13164,a(flip),b,5004,a(flip))]. given #12183 (H,wt=29): 13166 ((x * y) * z) \ (1 / (1 / ((x * y) * z))) = K(1 / ((x * y) * z),x * (y * z)). [hyper(1655,a,13165,a)]. given #12184 (H,wt=29): 13167 ((x * y) * z) \ ((z \ ((x * y) \ 1)) \ 1) = K(1 / ((x * y) * z),x * (y * z)). [para(1073(a,1),13166(a,1,2))]. given #12185 (H,wt=29): 13168 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K(1 / ((x * y) * z),x * (y * z)). [para(123(a,1),13167(a,1,2,1,2))]. given #12186 (H,wt=29): 13169 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K((x * y) * z,(x * (y * z)) \ 1). [hyper(227,a,5382,a(flip),b,13168,a)]. given #12187 (H,wt=29): 13170 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K((x * y) * z,(y * z) \ (x \ 1)). [hyper(227,a,8154,a(flip),b,13169,a)]. given #12188 (H,wt=29): 13171 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(227,a,13040,a(flip),b,13170,a)]. given #12189 (H,wt=29): 13172 ((x * y) * z) * ((1 / ((x * y) * z)) * 1) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(227,a,3438,a(flip),b,13171,a(flip)),flip(a)]. given #12190 (H,wt=27): 13173 K(x * (y * z),(y * z) \ (x \ 1)) = ((x * y) * z) * (1 / ((x * y) * z)). [para(12(a,1),13172(a,1,2)),flip(a)]. given #12191 (H,wt=27): 13174 K((x * y) * z,((x * y) * z) \ 1) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(227,a,2255,a,b,13173,a),flip(a)]. given #12192 (H,wt=27): 13175 K((x * y) * z,z \ ((x * y) \ 1)) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(8156,a,13174,a)]. given #12193 (H,wt=27): 13176 K((x * y) * z,z \ (y \ (x \ 1))) = K(x * (y * z),(y * z) \ (x \ 1)). [para(123(a,1),13175(a,1,2,2))]. given #12194 (H,wt=28): 13177 K((x * y) * z,z \ (y \ (x \ 1))) != u | K((y * z) \ x,x \ (y * z)) = u. [para(13176(a,2),8401(a,1))]. given #12195 (H,wt=37): 13137 x * ((x \ y) * L(z * T((1 / (y \ x)) * z,x),x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(13136(a,2),11538(a,1,2,2))]. given #12196 (H,wt=37): 13178 x * ((x \ y) * L(z * T(((1 / x) * y) * z,x),x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(313(a,1),13137(a,1,2,2,1,2,1,1))]. given #12197 (H,wt=34): 13179 x / ((y * T(((1 / x) * z) * y,x)) \ (z \ x)) = ((x \ z) * L(y,x,x)) * (x / (y \ (z \ x))). [hyper(2146,a,13178,a)]. given #12198 (H,wt=34): 13180 x / ((y * T(((1 / x) * z) * y,x)) \ (z \ x)) = (x \ (z * (y * x))) * ((x \ z) * L(y,x,x)). [hyper(227,a,4327,a(flip),b,13179,a)]. given #12199 (H,wt=32): 13181 (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = x / ((T(z / (y \ x),x) * z) \ (y \ x)). [para(1170(a,1),13180(a,1,2,1)),flip(a)]. given #12200 (H,wt=32): 13182 (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = x * (((y \ x) \ z) * T((y \ x) \ z,x)). [hyper(227,a,9947,a(flip),b,13181,a)]. given #12201 (H,wt=30): 13183 (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = ((y \ x) \ z) * (x * ((y \ x) \ z)). [hyper(227,a,6365,a(flip),b,13182,a)]. given #12202 (H,wt=30): 13184 ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). [hyper(227,a,4327,a,b,13183,a(flip)),flip(a)]. given #12203 (H,wt=33): 13185 (x \ y) * (L(z,x,x) * ((x * (x \ y)) * L(z,x,x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). [hyper(227,a,12579,a,b,13184,a(flip)),flip(a)]. given #12204 (H,wt=29): 13186 (x \ y) * (L(z,x,x) * (y * L(z,x,x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). [para(14(a,1),13185(a,1,2,2,1))]. given #12205 (H,wt=23): 13188 ((x \ y) \ z) * (y * ((x \ y) \ z)) = (y \ x) * (z * (x * z)). [para(10535(a,1),13186(a,1,2)),flip(a)]. given #12206 (H,wt=40): 12980 x \ (a(x,L(y \ 1,y,z),(x * L(y \ 1,y,z)) \ u) \ u) = L(y \ 1,z,y) * ((x * L(y \ 1,y,z)) \ u). [hyper(72,a,12974,a,b,11099,a)]. given #12207 (H,wt=40): 13000 (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = ((1 / u) \ (y \ (x \ 1))) * K(z,z \ 1). [hyper(227,a,5619,a,b,12999,a)]. given #12208 (H,wt=38): 13190 (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = ((x * y) * (1 / u)) \ K(z,z \ 1). [hyper(227,a,6799,a(flip),b,13000,a)]. given #12209 (H,wt=38): 13191 (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = (((x * y) * (1 / u)) \ z) * (1 / z). [hyper(227,a,3683,a(flip),b,13190,a)]. given #12210 (H,wt=27): 13192 (x * (1 / (y * x))) \ (z \ (u \ 1)) = (((u * z) * (1 / y)) \ x) * (1 / x). [hyper(227,a,12999,a(flip),b,13191,a(flip)),flip(a)]. given #12211 (H,wt=27): 13193 (((x * y) * (1 / (x * y))) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). [hyper(10786,a,13192,a),flip(a)]. given #12212 (H,wt=27): 13194 (K(x * y,(x * y) \ 1) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). [para(2255(a,2),13193(a,1,1,1))]. given #12213 (H,wt=27): 13195 (K(x * y,y \ (x \ 1)) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). [para(123(a,1),13194(a,1,1,1,2))]. given #12214 (H,wt=25): 13196 (K(x \ y,y \ x) \ z) * (1 / z) = K(z \ (y * x),(y * x) \ z). [para(8370(a,1),13195(a,1,1,1))]. given #12215 (H,wt=25): 13197 (K(x \ y,y \ x) * z) * (1 / z) = K(z \ (x * y),(x * y) \ z). [para(6443(a,1),13196(a,1,1))]. given #12216 (H,wt=25): 13199 x * ((1 / x) * K(y \ z,z \ y)) = K(x \ (y * z),(y * z) \ x). [hyper(227,a,2043,a(flip),b,13197,a(flip)),flip(a)]. given #12217 (H,wt=23): 13201 K(x \ (y * z),(y * z) \ x) = x * (K(y \ z,z \ y) / x). [para(3455(a,1),13199(a,1,2)),flip(a)]. given #12218 (H,wt=25): 13203 K((x * y) * z,z \ (y \ (x \ 1))) = K(z \ (y * x),(y * x) \ z). [hyper(227,a,11791,a,b,13201,a),flip(a)]. given #12219 (H,wt=23): 13204 K((x * y) \ z,z \ (x * y)) = K(y \ (x * z),(x * z) \ y). [hyper(13177,a,13203,a)]. given #12220 (H,wt=25): 13205 K(x \ (y * z),(y * z) \ x) / z = (z \ (y * x)) * (1 / (y * x)). [hyper(73,a,13204,a(flip),b,4283,a)]. given #12221 (H,wt=29): 13198 K(x \ y,y \ x) * (K(z,z \ 1) * u) = K(z \ (x * y),(x * y) \ z) \ u. [para(13196(a,1),11295(a,1,1)),flip(a)]. given #12222 (H,wt=29): 13207 K(x \ y,y \ x) * (K(z,z \ 1) * u) = K((x * y) \ z,z \ (x * y)) * u. [hyper(227,a,6443,a(flip),b,13198,a)]. given #12223 (H,wt=29): 13208 K(x \ y,y \ x) * (K(z,z \ 1) * u) = K(y \ (x * z),(x * z) \ y) * u. [para(13204(a,1),13207(a,2,1))]. given #12224 (H,wt=31): 13200 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = K(z \ (x * y),(x * y) \ z). [hyper(227,a,11459,a,b,13199,a(flip)),flip(a)]. given #12225 (H,wt=27): 13210 (x * (y \ 1)) * ((y / x) * K(z,z \ 1)) = K(z \ (x * y),(x * y) \ z). [para(263(a,1),13200(a,1,2,1))]. given #12226 (H,wt=27): 13211 (x \ y) * (((1 / y) * x) * K(z,z \ 1)) = K(z \ (y * x),(y * x) \ z). [hyper(227,a,8873,a(flip),b,13210,a(flip)),flip(a)]. given #12227 (H,wt=27): 13212 (x / y) * ((1 / (x / y)) * K(z,z \ 1)) = K(z \ (y * x),(y * x) \ z). [hyper(227,a,3368,a(flip),b,13210,a(flip)),flip(a)]. given #12228 (H,wt=25): 13214 (x / y) * (z * (1 / ((x / y) * z))) = K(z \ (y * x),(y * x) \ z). [para(3665(a,1),13212(a,1,2))]. given #12229 (H,wt=23): 13215 K(x \ (y / z),(y / z) \ x) = K(x \ (z * y),(z * y) \ x). [hyper(8598,a,13214,a)]. given #12230 (H,wt=27): 13213 (x \ y) * ((1 / y) * (K(z,z \ 1) * x)) = K(z \ (y * x),(y * x) \ z). [para(9123(a,1),13211(a,1,2))]. given #12231 (H,wt=25): 13216 (x \ y) * (z * (1 / ((x \ y) * z))) = K(z \ (y * x),(y * x) \ z). [para(9443(a,1),13213(a,1,2))]. given #12232 (H,wt=23): 13217 K(x \ (y \ z),(y \ z) \ x) = K(x \ (z * y),(z * y) \ x). [hyper(8598,a,13216,a)]. given #12233 (H,wt=25): 13219 K((x \ y) * z,z \ ((y \ 1) * x)) = K(z \ (y * x),(y * x) \ z). [hyper(227,a,9199,a,b,13217,a(flip)),flip(a)]. given #12234 (H,wt=29): 13218 K(x \ (y * (z \ 1)),(y * (z \ 1)) \ x) = K(y \ z,z \ y) * K(x,x \ 1). [hyper(227,a,11300,a(flip),b,13216,a(flip))]. given #12235 (H,wt=27): 13221 K(x \ (y * (z \ 1)),(z / y) * x) = K(y \ z,z \ y) * K(x,x \ 1). [hyper(7755,a,13218,a)]. given #12236 (H,wt=27): 13222 K((x / y) * z,((x / y) * z) \ 1) = K(y \ x,x \ y) * K(z,z \ 1). [hyper(5495,a,13221,a)]. given #12237 (H,wt=27): 13223 K((x / y) * z,z \ ((x / y) \ 1)) = K(y \ x,x \ y) * K(z,z \ 1). [hyper(8156,a,13222,a)]. given #12238 (H,wt=27): 13224 K((x / y) * z,z \ (y * (x \ 1))) = K(y \ x,x \ y) * K(z,z \ 1). [para(125(a,1),13223(a,1,2,2))]. given #12239 (H,wt=25): 13225 K(x \ y,y \ x) * K(z,z \ 1) = K((y / x) \ z,z \ (y / x)). [hyper(227,a,10868,a(flip),b,13224,a(flip))]. given #12240 (H,wt=29): 13226 K(x \ y,y \ x) * (K(z,z \ 1) * u) = K((y / x) \ z,z \ (y / x)) * u. [para(13225(a,1),4577(a,1,1)),flip(a)]. given #12241 (H,wt=23): 13227 K((x / y) \ z,z \ (x / y)) = K(x \ (y * z),(y * z) \ x). [hyper(18,a,13208,a(flip),b,13226,a(flip))]. given #12242 (H,wt=31): 13206 K(x \ ((1 / y) * z),(z \ y) * x) / z = (z \ ((1 / y) * x)) * (1 / ((1 / y) * x)). [para(8330(a,1),13205(a,1,1))]. given #12243 (H,wt=31): 13228 (K(x \ (y * z),(y * z) \ x) / (u * w)) * u = K((x / y) \ z,z \ (x / y)) / w. [para(13227(a,1),9303(a,1,1,1))]. given #12244 (H,wt=31): 13229 K(x \ ((1 / y) * z),(z \ y) * x) / z = (z \ ((1 / y) * x)) * (((x \ y) \ 1) \ 1). [para(1064(a,1),13206(a,2,2))]. given #12245 (H,wt=25): 13230 K(x \ ((1 / y) * z),(z \ y) * x) / z = z \ K(y \ x,x \ y). [hyper(227,a,5617,a(flip),b,13229,a)]. given #12246 (H,wt=25): 13231 K((x \ y) * z,((x \ y) * z) \ 1) / x = x \ K(y \ z,z \ y). [para(8303(a,1),13230(a,1,1))]. given #12247 (H,wt=25): 13232 K((x \ y) * z,z \ ((x \ y) \ 1)) / x = x \ K(y \ z,z \ y). [para(123(a,1),13231(a,1,1,2))]. given #12248 (H,wt=23): 13233 K(x \ (y \ z),(y \ z) \ x) / y = y \ K(z \ x,x \ z). [para(8370(a,1),13232(a,1,1))]. given #12249 (H,wt=21): 13234 T(x,(y * z) \ K(u \ w,w \ u)) = T(x,z \ (y \ 1)). [para(13233(a,1),9118(a,1,2))]. given #12250 (H,wt=29): 13235 ((x \ y) * z) * (1 / ((u * x) * ((x \ y) * z))) = (x \ K(y \ z,z \ y)) / u. [para(13233(a,1),9329(a,2,1))]. given #12251 (H,wt=32): 13209 K(x \ y,y \ x) * (K(z,z \ 1) * u) != w * u | K(y \ (x * z),(x * z) \ y) = w. [para(13208(a,2),20(a,1))]. given #12252 (H,wt=33): 13202 x * (1 / ((y * (z * K(u \ w,w \ u))) * x)) = K(x \ (u * w),(u * w) \ x) / (y * z). [para(13199(a,1),11683(a,1,1)),flip(a)]. given #12253 (H,wt=35): 13220 K(x \ (y * (z / x)),(y * (z / x)) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [para(13219(a,1),12261(a,1,1))]. given #12254 (H,wt=35): 13236 (1 / T(x,y \ (z \ 1))) \ (z * (y * K(u \ w,w \ u))) = (z * (y * K(u \ w,w \ u))) * x. [para(13234(a,1),12263(a,1,1,2))]. given #12255 (H,wt=41): 13006 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(5585(a,1),13004(a,2,2,1))]. given #12256 (H,wt=33): 13238 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(16(a,1),13006(a,1,2,1,2))]. given #12257 (H,wt=41): 13131 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(6503(a,2),13030(a,1,2,2))]. given #12258 (H,wt=21): 13239 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(8204(a,2),13131(a,1,2))]. given #12259 (H,wt=21): 13240 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7486(a,1),13239(a,1,2,1,2))]. given #12260 (H,wt=21): 13243 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7486(a,1),13240(a,1,2))]. given #12261 (H,wt=15): 13244 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(227,a,13239,a(flip),b,13243,a(flip))]. given #12262 (H,wt=17): 13246 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(72,a,13244,a,b,4996,a(flip))]. given #12263 (H,wt=15): 13248 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(5049,a,13246,a)]. given #12264 (H,wt=17): 13247 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(5795(a,1),13244(a,1,2)),flip(a)]. given #12265 (H,wt=17): 13249 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(227,a,11995,a(flip),b,13248,a)]. given #12266 (H,wt=17): 13250 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(6421(a,1),13248(a,1,2)),flip(a)]. given #12267 (H,wt=17): 13252 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5862(a,1),13247(a,1,2))]. given #12268 (H,wt=15): 13257 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(161(a,1),13252(a,1,2,1)),flip(a)]. given #12269 (H,wt=17): 13256 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(6395(a,2),13250(a,1,2))]. given #12270 (H,wt=17): 13261 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(2499(a,2),13256(a,1,2,1))]. given #12271 (H,wt=19): 13253 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(227,a,4958,a(flip),b,13249,a)]. given #12272 (H,wt=19): 13258 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(8396,a,13257,a),flip(a)]. given #12273 (H,wt=15): 13263 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(8388,a,13258,a),flip(a)]. given #12274 (H,wt=17): 13264 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(160(a,1),13263(a,1,2,2,1)),flip(a)]. given #12275 (H,wt=19): 13265 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(13264(a,1),4953(a,2,2))]. given #12276 (H,wt=17): 13266 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(227,a,4953,a,b,13265,a)]. given #12277 (H,wt=20): 13260 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(2478(a,1),13256(a,1,2,1))]. given #12278 (H,wt=17): 13268 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(227,a,12629,a(flip),b,13260,a(flip))]. given #12279 (H,wt=20): 13262 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(13253(a,2),5049(a,1))]. given #12280 (H,wt=20): 13270 K(x,K(y,z \ 1) * u) != w | K(x,K(z,y) * u) = w. [para(13248(a,1),13262(a,1))]. given #12281 (H,wt=21): 13245 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(13243(a,1),14(a,1,2)),flip(a)]. given #12282 (H,wt=21): 13251 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(6673(a,1),13248(a,1,2)),flip(a)]. given #12283 (H,wt=21): 13254 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5258(a,1),13249(a,1,2)),flip(a)]. given #12284 (H,wt=23): 13259 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(7747,a,13256,a),flip(a)]. given #12285 (H,wt=21): 13273 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(7600(a,1),13259(a,1,2,2))]. given #12286 (H,wt=20): 13274 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(13273(a,1),7747(a,1))]. given #12287 (H,wt=23): 13271 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(227,a,12009,a,b,13251,a(flip)),flip(a)]. given #12288 (H,wt=21): 13275 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10141(a,1),13271(a,1,2))]. given #12289 (H,wt=25): 13241 x \ T(y * T(x,K(z,u)),K(z,z * u)) = T(y,K(z * u,z) * x). [para(7701(a,1),13239(a,1,2,1,2))]. given #12290 (H,wt=23): 13278 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). [para(7701(a,1),13241(a,1,2))]. given #12291 (H,wt=17): 13279 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [hyper(227,a,13239,a(flip),b,13278,a(flip))]. given #12292 (H,wt=17): 13280 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(227,a,13244,a,b,13279,a(flip)),flip(a)]. given #12293 (H,wt=23): 13281 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(8395,a,13280,a),flip(a)]. given #12294 (H,wt=17): 13282 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(8394,a,13281,a),flip(a)]. given #12295 (H,wt=17): 13283 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(5391(a,1),13282(a,1,2,2)),flip(a)]. given #12296 (H,wt=28): 13255 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(13249(a,1),9011(a,1,1))]. given #12297 (H,wt=23): 13284 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9558,a,13255,a),flip(a)]. given #12298 (H,wt=21): 13285 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(5605(a,1),13284(a,1,2,1))]. given #12299 (H,wt=29): 13267 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(2606(a,1),13266(a,2,1))]. given #12300 (H,wt=25): 13286 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(3284(a,1),13267(a,1,1))]. given #12301 (H,wt=21): 13287 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4989(a,1),13286(a,1,1,2)),flip(a)]. given #12302 (H,wt=19): 13288 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4957(a,1),13287(a,1,1,2))]. given #12303 (H,wt=25): 13289 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(13288(a,1),5102(a,1,1,2))]. given #12304 (H,wt=19): 13290 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(5236,a,13289,a),flip(a)]. given #12305 (H,wt=20): 13291 K(x,y \ K(z \ 1,u)) != w | K(x,y \ K(z,u)) = w. [para(13290(a,2),12134(a,1))]. given #12306 (H,wt=31): 13276 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(227,a,13238,a(flip),b,13275,a(flip)),flip(a)]. given #12307 (H,wt=29): 13292 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(227,a,13285,a(flip),b,13276,a(flip)),flip(a)]. given #12308 (H,wt=27): 13293 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(227,a,12628,a(flip),b,13292,a(flip)),flip(a)]. given #12309 (H,wt=25): 13294 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4996(a,2),13293(a,1,2,1))]. given #12310 (H,wt=31): 13295 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(1938(a,1),13294(a,1,2,1))]. given #12311 (H,wt=29): 13296 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(113(a,1),13295(a,1,2,2,1))]. given #12312 (H,wt=27): 13297 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(113(a,1),13296(a,1,2,2,2,2))]. given #12313 (H,wt=23): 13298 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(7597(a,1),13297(a,2,2))]. given #12314 (H,wt=33): 13242 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(T(y,K(v5,w) * (x * K(z,u))),u). [para(13239(a,1),7822(a,1,1)),flip(a)]. given #12315 (H,wt=29): 13300 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(v5,w) * x)). [hyper(227,a,8775,a(flip),b,13242,a)]. given #12316 (H,wt=29): 13302 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(w,v5) * x)). [para(13244(a,1),13300(a,2,2))]. given #12317 (H,wt=33): 13272 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(5025(a,1),13254(a,1,2,2)),flip(a)]. given #12318 (H,wt=31): 13303 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(7550(a,1),13272(a,2,2,1))]. given #12319 (H,wt=29): 13304 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(7515(a,1),13303(a,2,2))]. given #12320 (H,wt=21): 13305 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(5025(a,1),13304(a,1,2,2,1,2))]. given #12321 (H,wt=17): 13306 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5255(a,1),13305(a,1,2))]. given #12322 (H,wt=19): 13307 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(13306(a,1),5101(a,1,2)),flip(a)]. given #12323 (H,wt=17): 13308 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(227,a,5101,a(flip),b,13307,a)]. given #12324 (H,wt=21): 13309 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(227,a,8299,a(flip),b,13308,a(flip))]. given #12325 (H,wt=21): 13310 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(12012,a,13309,a)]. given #12326 (H,wt=25): 13311 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(10789,a,13310,a)]. given #12327 (H,wt=21): 13312 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(227,a,10176,a(flip),b,13311,a),flip(a)]. given #12328 (H,wt=19): 13313 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(7149(a,1),13312(a,1,1))]. given #12329 (H,wt=17): 13314 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(7746,a,13313,a),flip(a)]. given #12330 (H,wt=23): 13315 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(227,a,9744,a,b,13314,a(flip)),flip(a)]. given #12331 (H,wt=21): 13316 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(6326,a,13315,a),flip(a)]. given #12332 (H,wt=17): 13317 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(6327,a,13316,a),flip(a)]. given #12333 (H,wt=15): 13318 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(5009(a,1),13317(a,1,1,2)),flip(a)]. given #12334 (H,wt=17): 13319 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(13318(a,1),5101(a,1,2)),flip(a)]. given #12335 (H,wt=15): 13320 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(227,a,5101,a(flip),b,13319,a)]. given #12336 (H,wt=17): 13322 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4978(a,1),13320(a,1,2,2,1)),flip(a)]. given #12337 (H,wt=17): 13323 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(7807,a,13322,a)]. given #12338 (H,wt=21): 13324 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(1539(a,2),13323(a,2,2,2))]. given #12339 (H,wt=19): 13325 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(13291,a,13324,a)]. given #12340 (H,wt=17): 13326 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(227,a,13323,a(flip),b,13325,a(flip))]. given #12341 (H,wt=17): 13327 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(62(a,1),13326(a,1,2,2,2)),flip(a)]. given #12342 (H,wt=21): 13328 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(655(a,1),13327(a,1,2,2,2))]. given #12343 (H,wt=23): 13321 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(2597(a,1),13320(a,1,2,2,1))]. given #12344 (H,wt=21): 13329 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(227,a,12604,a(flip),b,13321,a(flip)),flip(a)]. given #12345 (H,wt=17): 13330 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(1227(a,1),13329(a,1,2,2)),flip(a)]. given #12346 (H,wt=19): 13331 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(227,a,13298,a(flip),b,13330,a(flip))]. given #12347 (H,wt=33): 13277 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(5603(a,1),13275(a,1,2,2,2)),flip(a)]. given #12348 (H,wt=29): 13333 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10174(a,1),13277(a,2,2))]. given #12349 (H,wt=27): 13334 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(7601(a,1),13333(a,1,2))]. given #12350 (H,wt=21): 13335 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9384(a,1),13334(a,1,2)),flip(a)]. given #12351 (H,wt=19): 13336 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(227,a,7576,a(flip),b,13335,a)]. given #12352 (H,wt=23): 13338 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(227,a,13031,a(flip),b,13336,a(flip)),flip(a)]. given #12353 (H,wt=35): 13339 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(1210(a,1),13338(a,1,2,2,1))]. given #12354 (H,wt=33): 13340 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(6129(a,1),13339(a,1,2,1))]. given #12355 (H,wt=29): 13341 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(1210(a,1),13340(a,1,2,2,2,2))]. given #12356 (H,wt=27): 13342 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(227,a,13261,a(flip),b,13341,a(flip)),flip(a)]. given #12357 (H,wt=25): 13343 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(6129(a,1),13342(a,2,2))]. given #12358 (H,wt=21): 13344 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(227,a,13330,a(flip),b,13343,a(flip)),flip(a)]. given #12359 (H,wt=37): 13332 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5474(a,1),13331(a,1,2,2,2))]. given #12360 (H,wt=35): 13345 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(227,a,12599,a(flip),b,13332,a(flip)),flip(a)]. given #12361 (H,wt=33): 13346 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13283(a,1),13345(a,1,2,2))]. given #12362 (H,wt=33): 13347 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5344(a,1),13346(a,1,2,2,2,2))]. given #12363 (H,wt=31): 13348 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13282(a,1),13347(a,1,2,2))]. given #12364 (H,wt=29): 13349 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4996(a,2),13348(a,1,2,2,2))]. given #12365 (H,wt=27): 13350 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12601,a,13349,a)]. given #12366 (H,wt=25): 13351 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(227,a,13268,a(flip),b,13350,a(flip))]. given #12367 (H,wt=25): 13352 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(6131(a,1),13351(a,1,2))]. given #12368 (H,wt=23): 13353 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(7759,a,13352,a),flip(a)]. given #12369 (H,wt=41): 13160 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = K(u,u \ 1) * (y * (K(u,u \ 1) * ((y \ x) / z))). [para(13159(a,1),12276(a,2,2))]. given #12370 (H,wt=29): 13355 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = y * ((y \ x) / z). [hyper(227,a,9169,a(flip),b,13160,a)]. given #12371 (H,wt=27): 13357 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = y * ((y \ x) / u). [para(9166(a,1),13355(a,1,1,2))]. given #12372 (H,wt=17): 13359 (x * y) / ((1 / z) \ y) = y * ((y \ x) / z). [hyper(227,a,12280,a(flip),b,13357,a(flip)),flip(a)]. given #12373 (H,wt=19): 13360 (x / ((1 / y) * z)) * (1 / y) = y * ((y \ x) / z). [hyper(227,a,10596,a,b,13359,a(flip)),flip(a)]. given #12374 (H,wt=23): 13358 (x \ K(y \ z,z \ y)) / u = x \ (K(y \ z,z \ y) / u). [hyper(9330,a,13357,a),flip(a)]. given #12375 (H,wt=27): 13361 ((x * (1 / y)) / ((1 / z) \ (1 / y))) * z = z \ ((z / y) * ((1 / y) \ x)). [para(13359(a,2),1508(a,1,1))]. given #12376 (H,wt=23): 13364 x \ ((x / y) * ((1 / y) \ z)) = ((z * (1 / y)) / (x / y)) * x. [para(339(a,1),13361(a,1,1,2)),flip(a)]. given #12377 (H,wt=21): 13365 x \ ((x / y) * ((1 / y) \ z)) = ((z / (y * x)) * y) * x. [para(9873(a,1),13364(a,2,1))]. given #12378 (H,wt=19): 13366 x \ (y \ ((y * x) * z)) = ((z / (y * x)) * y) * x. [hyper(227,a,2156,a(flip),b,13365,a(flip)),flip(a)]. given #12379 (H,wt=19): 13368 x * (((y / (z * x)) * z) * x) = z \ ((z * x) * y). [para(13366(a,1),14(a,1,2))]. given #12380 (H,wt=22): 13370 x \ (y \ ((y * x) * z)) != u | ((z / (y * x)) * y) * x = u. [para(13368(a,1),282(a,1,2)),flip(b)]. given #12381 (H,wt=23): 13369 ((x / ((1 / y) * z)) * (1 / y)) * z = z \ (y / (x \ (z \ y))). [para(757(a,1),13366(a,1,2)),flip(a)]. given #12382 (H,wt=19): 13373 x \ (y / (z \ (x \ y))) = (y * ((y \ z) / x)) * x. [para(13360(a,1),13369(a,1,1)),flip(a)]. given #12383 (H,wt=25): 13367 x \ ((x / y) * (y * ((y \ 1) \ z))) = (((y * z) / (y * x)) * y) * x. [para(1376(a,1),13365(a,1,2,2))]. given #12384 (H,wt=22): 13374 (((x * y) / (x * z)) * x) * z = L((x \ 1) \ y,x,x \ z). [hyper(11097,a,13367,a),flip(a)]. given #12385 (H,wt=26): 13372 x * (((L(1 / y,z * x,y) / (z * x)) * z) * x) = z \ ((z * x) / y). [para(5552(a,1),13368(a,2,2))]. given #12386 (H,wt=26): 13375 x * (((1 / ((y * x) * L(z,z,y * x))) * y) * x) = y \ ((y * x) / z). [para(5556(a,1),13372(a,1,2,1,1))]. given #12387 (H,wt=23): 13376 x * (((1 / ((1 / (y * x)) \ z)) * y) * x) = y \ ((y * x) / z). [para(4162(a,1),13375(a,1,2,1,1,2))]. given #12388 (H,wt=23): 13377 x * ((((1 / y) * (1 / (z * x))) * z) * x) = z \ ((z * x) / y). [para(313(a,1),13376(a,1,2,1,1))]. given #12389 (H,wt=21): 13378 x * ((y \ ((y / z) * (1 / x))) * x) = y \ ((y * x) / z). [para(1591(a,1),13377(a,1,2,1))]. given #12390 (H,wt=29): 13362 ((x \ y) * z) * (1 / ((u * x) * ((x \ y) * z))) = x \ (K(y \ z,z \ y) / u). [hyper(227,a,13235,a,b,13358,a(flip)),flip(a)]. given #12391 (H,wt=27): 13379 K(x \ (y \ z),(y \ z) \ x) / (u * y) = y \ (K(z \ x,x \ z) / u). [hyper(227,a,8392,a(flip),b,13362,a(flip)),flip(a)]. given #12392 (H,wt=27): 13380 K(x \ (y * z),(y * z) \ x) / (u * z) = z \ (K(y \ x,x \ y) / u). [para(13217(a,1),13379(a,1,1))]. given #12393 (H,wt=30): 13371 L(x,y,y) * (((z / ((1 / y) \ x)) * y) * L(x,y,y)) = y \ ((y * L(x,y,y)) * z). [para(1368(a,1),13368(a,1,2,1,1,2))]. given #12394 (H,wt=33): 13363 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = u \ (K(y \ x,x \ y) / z). [hyper(227,a,11772,a,b,13358,a(flip)),flip(a)]. given #12395 (H,wt=33): 13381 ((1 / x) * y) * (((y \ x) \ 1) \ (1 / (z * ((u \ 1) \ 1)))) = u \ (K(y \ x,x \ y) / z). [para(1138(a,1),13363(a,1,2))]. given #12396 (H,wt=33): 13382 ((1 / x) * y) * (((y \ x) \ 1) \ ((1 / 1) \ ((z \ 1) / u))) = z \ (K(y \ x,x \ y) / u). [para(341(a,1),13381(a,1,2,2))]. given #12397 (H,wt=31): 13383 ((1 / x) * y) * (((y \ x) \ 1) \ (1 \ ((z \ 1) / u))) = z \ (K(y \ x,x \ y) / u). [para(59(a,1),13382(a,1,2,2,1))]. given #12398 (H,wt=31): 13385 ((1 / x) * y) * (((y \ x) \ 1) \ (1 \ (z \ (1 / u)))) = z \ (K(y \ x,x \ y) / u). [para(318(a,1),13383(a,1,2,2,2))]. given #12399 (H,wt=29): 13386 ((1 / x) * y) * (((y \ x) \ 1) \ (z \ (1 / u))) = z \ (K(y \ x,x \ y) / u). [para(50(a,1),13385(a,1,2,2))]. given #12400 (H,wt=25): 13387 K(x \ y,y \ x) * (z \ (1 / u)) = z \ (K(y \ x,x \ y) / u). [hyper(227,a,4275,a(flip),b,13386,a(flip)),flip(a)]. given #12401 (H,wt=25): 13388 x \ (K(y \ z,z \ y) / (u \ 1)) = K(z \ y,y \ z) * (x \ u). [para(62(a,1),13387(a,1,2,2)),flip(a)]. given #12402 (H,wt=23): 13389 x \ (K(y \ z,z \ y) * u) = K(z \ y,y \ z) * (x \ u). [para(6451(a,1),13388(a,1,2))]. given #12403 (H,wt=33): 13390 x * (1 / ((K(y \ z,z \ y) * (u \ w)) * x)) = (x * (K(z \ y,y \ z) / (w * x))) * u. [para(13389(a,1),11178(a,1,2,2,1))]. given #12404 (H,wt=33): 13391 x * (1 / (K(y \ z,z \ y) * ((u \ w) * x))) = (x * (K(z \ y,y \ z) / (w * x))) * u. [para(4577(a,1),13390(a,1,2,2))]. given #12405 (H,wt=33): 13392 x * ((1 / ((y \ z) * x)) * K(u \ w,w \ u)) = (x * (K(w \ u,u \ w) / (z * x))) * y. [para(10800(a,1),13391(a,1,2))]. given #12406 (H,wt=31): 13393 (x * (K(y \ z,z \ y) / (u * x))) * w = x * (K(z \ y,y \ z) / ((w \ u) * x)). [para(3455(a,1),13392(a,1,2)),flip(a)]. given #12407 (H,wt=43): 13108 x \ (1 / (((y \ (z \ ((1 / x) * (1 / ((1 / x) * (1 / x)))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [hyper(72,a,13107,a,b,3973,a(flip))]. given #12408 (H,wt=43): 13394 x \ (1 / (((y \ (z \ ((1 / x) * (1 / (1 * (x \ (1 / x))))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(926(a,1),13108(a,1,2,2,1,1,2,2,2,2))]. given #12409 (H,wt=41): 13395 x \ (1 / (((y \ (z \ ((1 / x) * (1 / (x \ (1 / x)))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(11(a,1),13394(a,1,2,2,1,1,2,2,2,2))]. given #12410 (H,wt=39): 13396 x \ (1 / (((y \ (z \ ((1 / x) * ((1 / x) \ x)))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(1290(a,1),13395(a,1,2,2,1,1,2,2,2))]. given #12411 (H,wt=31): 13397 x \ (1 / (((y \ (z \ x)) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(14(a,1),13396(a,1,2,2,1,1,2,2))]. given #12412 (H,wt=31): 13398 x \ (1 / (((y \ (z \ x)) * (x \ 1)) * (x \ 1))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(5480(a,1),13397(a,1,2,2))]. given #12413 (H,wt=31): 13399 x \ (1 / ((x * ((y * x) \ (z \ 1))) * (x \ 1))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(1771(a,1),13398(a,1,2,2,1))]. given #12414 (H,wt=29): 13400 x \ (1 / T((y * x) \ (z \ 1),x \ 1)) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(639(a,1),13399(a,1,2,2))]. given #12415 (H,wt=27): 13401 (1 / ((x * y) \ (z \ 1))) * (y \ 1) = ((y \ 1) \ 1) * (((1 / y) * z) * x). [hyper(1299,a,13400,a)]. given #12416 (H,wt=27): 13402 ((1 / 1) \ (x * (y * z))) * (z \ 1) = ((z \ 1) \ 1) * (((1 / z) * x) * y). [para(340(a,1),13401(a,1,1))]. given #12417 (H,wt=25): 13403 ((x \ 1) \ 1) * (((1 / x) * y) * z) = (1 \ (y * (z * x))) * (x \ 1). [para(59(a,1),13402(a,1,1,1)),flip(a)]. given #12418 (H,wt=23): 13404 ((x \ 1) \ 1) * (((1 / x) * y) * z) = (y * (z * x)) * (x \ 1). [para(50(a,1),13403(a,2,1))]. given #12419 (H,wt=19): 13406 1 / ((x \ (y \ z)) / z) = (y * (x * z)) * (z \ 1). [hyper(227,a,1732,a(flip),b,13404,a(flip)),flip(a)]. given #12420 (H,wt=19): 13407 (x * (y * z)) * (z \ 1) = z * (((z \ 1) * x) * y). [hyper(227,a,10348,a(flip),b,13406,a(flip))]. given #12421 (H,wt=24): 13408 x * (((x \ 1) * y) * L(z,x,x)) = (y * ((1 / z) \ x)) * (x \ 1). [para(1306(a,1),13407(a,1,1,2)),flip(a)]. given #12422 (H,wt=22): 13409 x * (((x \ 1) * y) * L(z,x,x)) = (x \ 1) \ ((x \ y) * z). [hyper(227,a,2883,a(flip),b,13408,a)]. given #12423 (H,wt=17): 13410 (x \ 1) \ ((x \ y) * z) = (y * x) * (x \ z). [hyper(227,a,10029,a(flip),b,13409,a(flip))]. given #12424 (H,wt=19): 13411 x / (y \ (x * (z \ x))) = ((z / x) * x) * (x \ y). [hyper(227,a,10349,a(flip),b,13410,a(flip)),flip(a)]. given #12425 (H,wt=15): 13412 x / (y \ (x * (z \ x))) = z * (x \ y). [hyper(227,a,87,a(flip),b,13411,a)]. given #12426 (H,wt=15): 13414 (x * (y \ z)) \ y = z \ (y * (x \ y)). [para(13412(a,1),65(a,1,1))]. given #12427 (H,wt=15): 13416 (x * y) \ (x * (z \ x)) = (z * y) \ x. [para(13(a,1),13414(a,1,1,2)),flip(a)]. given #12428 (H,wt=15): 13417 ((x / y) * z) \ x = (x * z) \ (x * y). [para(65(a,1),13416(a,1,2,2)),flip(a)]. given #12429 (H,wt=17): 13415 x / (y \ ((z \ 1) \ x)) = (z \ x) * (x \ y). [para(784(a,1),13412(a,1,2,2))]. given #12430 (H,wt=17): 13420 (1 / x) * ((y / x) \ z) = (x * y) \ (x * z). [hyper(227,a,1523,a,b,13417,a(flip)),flip(a)]. given #12431 (H,wt=23): 13418 (x * y) \ (x * (x \ ((x * z) * u))) = (((x / u) / z) * y) \ x. [para(1883(a,1),13416(a,1,2,2))]. given #12432 (H,wt=19): 13424 (((x / y) / z) * u) \ x = (x * u) \ ((x * z) * y). [para(14(a,1),13418(a,1,2)),flip(a)]. given #12433 (H,wt=16): 13425 a(x,y,z) = (((x / z) / y) * (y * z)) \ x. [hyper(227,a,24,a,b,13424,a),flip(a)]. given #12434 (H,wt=11): 13428 a(x,y,z) = L(x,z,y) \ x. [para(10850(a,2),13425(a,2,1))]. given #12435 (H,wt=11): 13431 L(x,y,z) = x / a(x,z,y). [para(13428(a,2),62(a,1,2)),flip(a)]. given #12436 (H,wt=13): 13429 a(x,y,z) = x * L(x \ 1,z,y). [hyper(227,a,13067,a,b,13428,a)]. given #12437 (H,wt=13): 13433 a(x,y,z) \ 1 = x \ L(x,z,y). [para(13428(a,2),4478(a,1,1))]. given #12438 (H,wt=13): 13434 a(x,T(y,x),z) = L(x,z,y) \ x. [para(9681(a,1),13428(a,2,1))]. given #12439 (H,wt=11): 13442 a(x,T(y,x),z) = a(x,y,z). [hyper(227,a,13428,a,b,13434,a)]. given #12440 (H,wt=13): 13440 L(x,y,z) = (a(x,z,y) \ 1) * x. [para(13433(a,2),9204(a,1,1)),flip(a)]. given #12441 (H,wt=14): 13432 x / a(x,y,z) != u | L(x,z,y) = u. [para(13428(a,2),292(a,1,2)),flip(b)]. given #12442 (H,wt=14): 13437 L(x,y,z) \ x != u | a(x,z,y) = u. [para(13431(a,2),281(a,1,1)),flip(b)]. given #12443 (H,wt=15): 13435 L(x,y,z) \ (x * u) = a(x,z,y) * u. [para(13428(a,2),11258(a,2,1))]. given #12444 (H,wt=15): 13436 x * a(y,z,K(u,x)) = L(x,K(u,y),z). [hyper(12885,a,13431,a(flip))]. given #12445 (H,wt=13): 13443 L(x,K(y,z),u) = T(x,a(y,u,z)). [hyper(12913,a,13436,a),flip(a)]. given #12446 (H,wt=15): 13438 a(x,y,z) = (x \ 1) \ L(x \ 1,z,y). [hyper(227,a,9207,a,b,13429,a)]. given #12447 (H,wt=15): 13441 x * (y \ L(y,z,u)) = x / a(y,u,z). [para(13433(a,1),12710(a,1,2))]. given #12448 (H,wt=15): 13445 x / a(y \ 1,z,u) = x * a(y,z,u). [para(13438(a,2),13441(a,1,2)),flip(a)]. given #12449 (H,wt=15): 13446 x * a(y \ 1,z,u) = x / a(y,z,u). [hyper(305,a,13445,a),flip(a)]. given #12450 (H,wt=13): 13447 L(x,y,z) = x * a(x \ 1,z,y). [hyper(227,a,13431,a,b,13446,a),flip(a)]. given #12451 (H,wt=13): 13448 a(x \ 1,y,z) = a(x,y,z) \ 1. [hyper(72,a,59,a(flip),b,13446,a),flip(a)]. given #12452 (H,wt=13): 13453 L(x,y,z) = a(x \ 1,z,y) * x. [para(13448(a,2),13440(a,2,1))]. given #12453 (H,wt=15): 13452 a(x \ 1,y,z) \ u = a(x,y,z) * u. [para(13448(a,2),12713(a,1,1))]. given #12454 (H,wt=16): 13450 L(x,y,z) != x * u | a(x \ 1,z,y) = u. [para(13447(a,2),19(a,1))]. given #12455 (H,wt=17): 13430 a(x,(y \ 1) * z,u) = L(x,u,y \ z) \ x. [hyper(227,a,12623,a,b,13428,a(flip)),flip(a)]. given #12456 (H,wt=17): 13444 x / (L(y,z,u) \ y) = x * (y \ L(y,z,u)). [para(13428(a,1),13441(a,2,2)),flip(a)]. given #12457 (H,wt=17): 13455 (x * y) * (y \ L(y,z,u)) = x * L(y,z,u). [hyper(13070,a,13444,a),flip(a)]. given #12458 (H,wt=17): 13456 (L(x,y,z) \ x) \ u = (x \ L(x,y,z)) * u. [hyper(9059,a,13444,a),flip(a)]. given #12459 (H,wt=17): 13459 (x \ L(x,y,z)) * u = L(x,y,z) * (x \ u). [hyper(227,a,11254,a(flip),b,13456,a(flip))]. given #12460 (H,wt=18): 13449 x \ (x / a(y,z,u)) != w | a(y \ 1,z,u) = w. [para(13446(a,1),282(a,1,2)),flip(b)]. given #12461 (H,wt=16): 13461 a(x,y,z) \ 1 != u | a(x \ 1,y,z) = u. [para(59(a,1),13449(a,1,2))]. given #12462 (H,wt=18): 13454 a(x,(y \ 1) * z,u) != w | a(x,y \ z,u) = w. [para(13430(a,2),13437(a,1))]. given #12463 (H,wt=22): 13458 x * L(x \ 1,y,z) != u | (x \ 1) \ L(x \ 1,y,z) = u. [para(13455(a,1),148(a,1))]. given #12464 (H,wt=23): 13427 (((1 / (x / y)) \ z) * u) \ x = (x * u) \ ((x * (z \ 1)) * y). [para(317(a,1),13424(a,1,1,1))]. given #12465 (H,wt=21): 13462 (x * y) \ ((x * (y \ 1)) * z) = ((x / z) * (y * y)) \ x. [para(909(a,1),13427(a,1,1)),flip(a)]. given #12466 (H,wt=21): 13463 (x * y) \ ((x * (y \ 1)) * z) = ((y * y) \ (z / x)) * x. [hyper(227,a,2152,a(flip),b,13462,a)]. given #12467 (H,wt=21): 13464 1 / ((x \ (y / z)) * (z * y)) = ((y * y) \ (x / z)) * z. [hyper(4889,a,13463,a)]. given #12468 (H,wt=23): 13460 L(x \ 1,y,z) * ((x \ 1) \ u) = (x * L(x \ 1,y,z)) * u. [para(9207(a,1),13459(a,1,1)),flip(a)]. given #12469 (H,wt=21): 13465 L(x \ 1,y,z) * ((x \ 1) \ u) = (L(x,y,z) \ x) * u. [para(13067(a,1),13460(a,2,1))]. given #12470 (H,wt=24): 13419 R(1 / x,y,y \ (z \ 1)) \ 1 = (z * (y \ 1)) \ (z * (y \ x)). [hyper(227,a,9870,a,b,13417,a(flip)),flip(a)]. given #12471 (H,wt=25): 13451 (x * (y * z)) \ ((z / (x * (y * z))) \ L(z,y,x)) = a(x \ 1,y,z). [hyper(227,a,4032,a,b,13448,a),flip(a)]. given #12472 (H,wt=26): 13466 L(x \ 1,y,z) * ((x \ 1) \ u) != u * w | T(L(x,y,z) \ x,u) = w. [para(13465(a,2),167(a,2)),flip(a)]. given #12473 (H,wt=27): 13421 (((1 / x) * y) \ ((1 / x) * z)) \ 1 = x * (((((1 / x) / z) * y) \ 1) \ 1). [para(13417(a,1),320(a,1,1))]. given #12474 (H,wt=23): 13467 x * (((((1 / x) / y) * z) \ 1) \ 1) = ((z \ x) / (y \ x)) \ 1. [para(758(a,1),13421(a,1,1)),flip(a)]. given #12475 (H,wt=23): 13468 x * (((((1 / x) / y) * z) \ 1) \ 1) = (y \ x) * ((z \ x) \ 1). [hyper(227,a,125,a(flip),b,13467,a)]. given #12476 (H,wt=23): 13469 x * ((((1 / (y * x)) * z) \ 1) \ 1) = (y \ x) * ((z \ x) \ 1). [para(325(a,1),13468(a,1,2,1,1,1))]. given #12477 (H,wt=19): 13470 (x \ y) * ((z \ y) \ 1) = y * ((z \ (x * y)) \ 1). [para(250(a,1),13469(a,1,2,1)),flip(a)]. given #12478 (H,wt=23): 13471 x * ((L(x,y,z) \ (u * x)) \ 1) = (u \ x) * (x \ L(x,y,z)). [para(4478(a,1),13470(a,1,2)),flip(a)]. given #12479 (H,wt=21): 13472 ((x * y) / y) \ L(y,z,u) = (x \ y) * (y \ L(y,z,u)). [hyper(11259,a,13471,a)]. given #12480 (H,wt=17): 13473 (x \ y) * (y \ L(y,z,u)) = x \ L(y,z,u). [para(15(a,1),13472(a,1,1)),flip(a)]. given #12481 (H,wt=17): 13474 (x / y) \ L(x,z,u) = y * (x \ L(x,z,u)). [hyper(615,a,13473,a),flip(a)]. given #12482 (H,wt=15): 13475 (x / y) \ L(x,z,u) = y / a(x,u,z). [hyper(227,a,13441,a(flip),b,13474,a)]. given #12483 (H,wt=23): 13477 (x * (y * z)) \ ((x * (y * z)) / a(z,x,y)) = a(x \ 1,y,z). [para(13475(a,1),13451(a,1,2))]. given #12484 (H,wt=16): 13478 a(x \ 1,y,z) != u | a(z \ 1,x,y) = u. [para(13477(a,1),13449(a,1))]. given #12485 (H,wt=13): 13479 a(x \ 1,y,z) = a(y,z,x) \ 1. [hyper(13478,a,13448,a)]. given #12486 (H,wt=13): 13480 L(x,y,z) = x * (a(z,y,x) \ 1). [para(13479(a,1),13447(a,2,2))]. given #12487 (H,wt=13): 13481 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(72,a,13480,a,b,xx),flip(a)]. given #12488 (H,wt=20): 13482 x * (a(y,z,x) \ 1) != u * w | u \ L(x,z,y) = w. [para(13481(a,2),392(a,1,2))]. given #12489 (H,wt=31): 13423 ((x \ ((1 / y) * z)) \ 1) \ ((1 * z) \ (1 * y)) = ((1 / y) * z) \ (((1 / y) * z) / x). [para(13417(a,1),5419(a,1,2))]. given #12490 (H,wt=31): 13484 ((x \ y) * ((z \ 1) \ 1)) \ ((1 * x) \ (1 * y)) = ((1 / y) * x) \ (((1 / y) * x) / z). [para(753(a,1),13423(a,1,1))]. given #12491 (H,wt=29): 13485 ((x \ y) * ((z \ 1) \ 1)) \ (x \ (1 * y)) = ((1 / y) * x) \ (((1 / y) * x) / z). [para(11(a,1),13484(a,1,2,1))]. given #12492 (H,wt=27): 13486 ((x \ y) * ((z \ 1) \ 1)) \ (x \ y) = ((1 / y) * x) \ (((1 / y) * x) / z). [para(11(a,1),13485(a,1,2,2))]. given #12493 (H,wt=27): 13487 ((1 / x) * y) \ (((1 / x) * y) / z) = (y \ x) * (((z \ 1) \ (y \ x)) \ 1). [hyper(1271,a,13486,a),flip(a)]. given #12494 (H,wt=27): 13488 ((1 / x) * y) \ (((1 / x) * y) / z) = (y \ x) * (((y \ x) \ 1) * (1 / z)). [para(1070(a,1),13487(a,2,2))]. given #12495 (H,wt=24): 13489 ((1 / x) * y) \ (((1 / x) * y) / z) = L(1 / z,y \ x,y \ x). [hyper(227,a,1389,a(flip),b,13488,a)]. given #12496 (H,wt=37): 13422 ((((x / y) * z) \ x) \ 1) * (((x * z) \ (x * y)) \ u) = (((x * y) \ (x * z)) * ((x * y) \ (x * z))) * u. [para(13417(a,2),3985(a,1,1,1))]. given #12497 (H,wt=35): 13490 (((x * y) \ (x * z)) * ((x * y) \ (x * z))) * u = (((z / x) \ y) \ x) * (((x * z) \ (x * y)) \ u). [para(1595(a,1),13422(a,1,1)),flip(a)]. given #12498 (H,wt=16): 13491 ((x / y) \ (x * z)) \ y = L(z,x,y) \ 1. [hyper(4377,a,13490,a),flip(a)]. given #12499 (H,wt=20): 13492 L(R(x,y \ 1,y / z),y,y) = L(1 / x,y,z) \ 1. [hyper(227,a,10780,a,b,13491,a(flip)),flip(a)]. given #12500 (H,wt=19): 13493 L(R(x,y \ 1,y / z),y,y) != u | L(x,y,z) = u. [para(13492(a,2),13063(a,1))]. given #12501 (H,wt=39): 13457 (((x \ 1) \ y) * (1 / T(x,y))) * ((1 / T(x,y)) \ L(1 / T(x,y),z,u)) = L(x \ 1,z,u) * ((x \ 1) \ y). [hyper(227,a,1906,a(flip),b,13455,a)]. given #12502 (H,wt=29): 13494 x * ((1 / T(y,x)) \ L(1 / T(y,x),z,u)) = L(y \ 1,z,u) * ((y \ 1) \ x). [para(1785(a,1),13457(a,1,1))]. given #12503 (H,wt=25): 13495 L(x \ 1,y,z) * ((x \ 1) \ u) = u * (T(x,u) / L(T(x,u),y,z)). [para(13065(a,1),13494(a,1,2)),flip(a)]. given #12504 (H,wt=25): 13496 L(x \ 1,y,z) * ((x \ 1) \ u) = u * (L(T(x,u),y,z) \ T(x,u)). [para(4483(a,1),13495(a,2,2))]. given #12505 (H,wt=19): 13497 L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). [hyper(13466,a,13496,a),flip(a)]. given #12506 (H,wt=15): 13498 T(L(x,y,z) \ x,u) = a(T(x,u),z,y). [hyper(13437,a,13497,a),flip(a)]. given #12507 (H,wt=13): 13499 a(T(x,y),z,u) = T(a(x,z,u),y). [para(13428(a,2),13498(a,1,1)),flip(a)]. given #12508 (H,wt=47): 13354 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(5257(a,1),13353(a,1,2,1)),flip(a)]. given #12509 (H,wt=43): 13500 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(7599(a,1),13354(a,2,2,2))]. given #12510 (H,wt=43): 13501 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(7627(a,1),13500(a,2,2,2))]. given #12511 (H,wt=41): 13502 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(227,a,13328,a(flip),b,13501,a)]. given #12512 (H,wt=39): 13503 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(227,a,12044,a(flip),b,13502,a)]. given #12513 (H,wt=37): 13504 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(227,a,12628,a(flip),b,13503,a)]. given #12514 (H,wt=35): 13505 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(4996(a,2),13504(a,2,2,1))]. given #12515 (H,wt=33): 13506 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(227,a,13344,a(flip),b,13505,a)]. given #12516 (H,wt=25): 13507 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),13506(a,1,2,1,2))]. given #12517 (H,wt=21): 13508 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(6054(a,1),13507(a,1,2))]. given #12518 (H,wt=19): 13509 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(8376(a,1),13508(a,1,2)),flip(a)]. given #12519 (H,wt=19): 13510 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),13509(a,1,2,1)),flip(a)]. given #12520 (H,wt=15): 13512 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),13510(a,1,2,1)),flip(a)]. given #12521 (H,wt=16): 13514 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(13512(a,1),6152(a,1))]. given #12522 (H,wt=16): 13517 K(x,T(y,z)) != u | K(x,T(y,y \ z)) = u. [para(14(a,1),13514(a,1,2,2))]. given #12523 (H,wt=19): 13511 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(65(a,1),13509(a,1,2,2)),flip(a)]. given #12524 (H,wt=19): 13518 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(9068(a,1),13511(a,1,2))]. given #12525 (H,wt=20): 13515 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(13512(a,1),7759(a,1))]. given #12526 (H,wt=17): 13519 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(13515,a,13518,a)]. given #12527 (H,wt=21): 13520 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(13519(a,1),11900(a,1,1))]. given #12528 (H,wt=13): 13521 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(10985,a,13520,a)]. given #12529 (H,wt=13): 13522 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(7635,a,13521,a)]. given #12530 (H,wt=15): 13525 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13522(a,1),6627(a,1,2)),flip(a)]. given #12531 (H,wt=9): 13529 T(x,K(y,K(z,u))) = x. [hyper(7500,a,13525,a)]. given #12532 (H,wt=11): 13538 K(x,T(y,K(z,u))) = K(x,y). [hyper(7960,a,13529,a)]. given #12533 (H,wt=13): 13551 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7385(a,1),13538(a,1,2))]. given #12534 (H,wt=13): 13556 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(6615,a,13551,a)]. given #12535 (H,wt=15): 13530 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7471,a,13525,a)]. given #12536 (H,wt=15): 13537 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(8386,a,13529,a)]. given #12537 (H,wt=15): 13542 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(8362,a,13538,a)]. given #12538 (H,wt=15): 13554 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(8385(a,1),13538(a,1,2))]. given #12539 (H,wt=16): 13568 T(K(x,y),T(z,u)) != w | T(K(x,y),z) = w. [para(13556(a,2),6615(a,1))]. given #12540 (H,wt=17): 13531 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [hyper(227,a,5918,a(flip),b,13525,a)]. given #12541 (H,wt=17): 13571 K(x,K(y,z)) \ (u \ 1) = u \ K(x,K(y,z)). [hyper(227,a,6514,a(flip),b,13530,a)]. given #12542 (H,wt=18): 13540 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(13529(a,1),7644(a,1))]. given #12543 (H,wt=18): 13582 K(x,T(y,z)) != u | K(z,K(y,x)) * K(x,y) = u. [para(6487(a,1),13540(a,1))]. given #12544 (H,wt=19): 13528 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(7837,a,13525,a),flip(a)]. given #12545 (H,wt=19): 13575 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(13554(a,1),6508(a,1,2))]. given #12546 (H,wt=21): 13541 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(13529(a,1),13239(a,1,2,1,2))]. given #12547 (H,wt=15): 13583 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(13529(a,1),13541(a,1,2)),flip(a)]. given #12548 (H,wt=13): 13584 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(227,a,32,a,b,13583,a)]. given #12549 (H,wt=13): 13587 T(x,y * K(z,K(u,w))) = T(x,y). [para(7555(a,1),13584(a,1,2)),flip(a)]. given #12550 (H,wt=15): 13586 T(x,K(y,y \ K(z,u)) * w) = T(x,w). [hyper(227,a,9907,a,b,13584,a(flip)),flip(a)]. given #12551 (H,wt=15): 13589 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(13587(a,1),4953(a,2,2))]. given #12552 (H,wt=13): 13593 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(227,a,4953,a,b,13589,a)]. given #12553 (H,wt=15): 13595 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(2420(a,1),13593(a,1,1))]. given #12554 (H,wt=16): 13594 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(13589(a,2),5021(a,1))]. given #12555 (H,wt=21): 13570 ((1 / K(x,K(y,z))) * u) * w = u * (w * K(x,K(y,z))). [hyper(906,a,13530,a)]. given #12556 (H,wt=21): 13572 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(13537(a,1),13245(a,2,2))]. given #12557 (H,wt=21): 13580 x * (K(y,K(z,u)) * (w \ K(y,K(z,u)))) = x * (w \ 1). [para(13571(a,1),86(a,1,2,2))]. given #12558 (H,wt=21): 13596 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [para(13593(a,1),5004(a,2,1)),flip(a)]. given #12559 (H,wt=19): 13600 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(6182,a,13596,a),flip(a)]. given #12560 (H,wt=21): 13598 ((1 * K(x,K(y,z))) * u) * w = u * (w * K(x,K(y,z))). [para(7470(a,1),13570(a,1,1,1))]. given #12561 (H,wt=19): 13603 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [para(11(a,1),13598(a,1,1,1))]. given #12562 (H,wt=19): 13604 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(13525(a,1),13603(a,1,1))]. given #12563 (H,wt=19): 13605 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(13525(a,2),13604(a,2,2))]. given #12564 (H,wt=19): 13606 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [hyper(12583,a,13605,a),flip(a)]. given #12565 (H,wt=10): 13610 a(x,y,K(z,K(u,w))) = 1. [hyper(71,a,13606,a(flip),b,89,a),flip(a)]. given #12566 (H,wt=10): 13612 K(x,a(K(y,z),u,w)) = 1. [hyper(227,a,12883,a(flip),b,13610,a(flip)),flip(a)]. given #12567 (H,wt=10): 13615 T(x,a(K(y,z),u,w)) = x. [hyper(37,a,13612,a)]. given #12568 (H,wt=10): 13622 T(x,K(y,a(z,u,w))) = x. [para(12869(a,1),13615(a,1,2))]. given #12569 (H,wt=13): 13628 T(x,K(a(y,z,u),w)) != v5 | v5 = x. [para(13622(a,1),6734(a,1,1))]. given #12570 (H,wt=13): 13630 T(x,a(y,z,K(u,w))) != v5 | v5 = x. [para(12799(a,2),13628(a,1,2))]. given #12571 (H,wt=14): 13609 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(10716,a,13606,a)]. given #12572 (H,wt=15): 13619 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(12919,a,13615,a)]. given #12573 (H,wt=15): 13624 T(x,T(a(y,z,u),w)) = T(x,a(y,z,u)). [hyper(7736,a,13622,a)]. given #12574 (H,wt=15): 13635 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(227,a,12814,a,b,13619,a(flip)),flip(a)]. given #12575 (H,wt=15): 13638 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(227,a,12877,a,b,13635,a)]. given #12576 (H,wt=17): 13631 T(x,T(a(y,z,u) \ 1,w)) = T(x,a(u,z,y)). [hyper(13630,a,13035,a)]. given #12577 (H,wt=17): 13636 T(x,x * T(a(y,z,u),w)) = T(x,a(y,z,u)). [hyper(227,a,12726,a,b,13624,a(flip)),flip(a)]. given #12578 (H,wt=17): 13639 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(115(a,1),13635(a,1,3,2)),flip(a)]. given #12579 (H,wt=17): 13640 a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). [para(6563(a,1),13635(a,1,3)),flip(a)]. given #12580 (H,wt=17): 13644 T(x,T(a(y,z,u) * x,w)) = T(x,a(y,z,u)). [hyper(12436,a,13636,a)]. given #12581 (H,wt=17): 13646 T(x,T(a(y,z,u) * x,w)) = L(x,K(y,u),z). [hyper(227,a,13443,a,b,13644,a)]. given #12582 (H,wt=18): 13641 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(13638(a,2),12899(a,1))]. given #12583 (H,wt=19): 13607 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [hyper(13540,a,13606,a)]. given #12584 (H,wt=19): 13634 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(13609(a,1),12939(a,1,1)),flip(a)]. given #12585 (H,wt=10): 13652 L(x,y,K(z,K(u,w))) = x. [hyper(10716,a,13634,a)]. given #12586 (H,wt=19): 13643 T(T(x,a(y,z,u)),x * (1 * T(a(u,z,y),w))) = x. [para(13631(a,1),12955(a,1,1))]. given #12587 (H,wt=17): 13655 T(T(x,a(y,z,u)),x * T(a(u,z,y),w)) = x. [para(11(a,1),13643(a,1,2,2))]. given #12588 (H,wt=17): 13657 T(L(x,K(y,z),u),x * T(a(z,u,y),w)) = x. [para(13443(a,2),13655(a,1,1))]. given #12589 (H,wt=17): 13658 L(T(x,x * T(a(y,z,u),w)),K(u,y),z) = x. [hyper(227,a,40,a,b,13657,a(flip)),flip(a)]. given #12590 (H,wt=17): 13659 L(T(x,T(a(y,z,u) * x,w)),K(u,y),z) = x. [para(12435(a,2),13658(a,1,1))]. given #12591 (H,wt=13): 13660 L(L(x,K(y,z),u),K(z,y),u) = x. [para(13646(a,1),13659(a,1,1))]. given #12592 (H,wt=19): 13649 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [para(7407(a,1),13607(a,2,2))]. given #12593 (H,wt=19): 13650 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13525(a,2),13607(a,2,2))]. given #12594 (H,wt=19): 13661 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(7471,a,13650,a)]. given #12595 (H,wt=20): 13629 K(a(x,y,z),u) * w != v5 | w * K(a(x,y,z),u) = v5. [para(13622(a,1),7498(a,1))]. given #12596 (H,wt=20): 13647 a(x,y,K(z / u,w)) != v5 | a(x,y,K(u \ z,w)) = v5. [para(7527(a,1),13641(a,1,3))]. given #12597 (H,wt=20): 13648 a(x,y,K(z,u / w)) != v5 | a(x,y,K(z,w \ u)) = v5. [para(7535(a,1),13641(a,1,3))]. given #12598 (H,wt=21): 13599 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(13572(a,1),7487(a,1,1))]. given #12599 (H,wt=21): 13663 K(x,K(y,z)) * (u * (1 / w)) = u * (K(x,K(y,z)) / w). [para(6452(a,1),13650(a,2,2))]. given #12600 (H,wt=22): 13573 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11369(a,1),13542(a,2,2))]. given #12601 (H,wt=23): 13601 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(13600(a,2),7462(a,1,1))]. given #12602 (H,wt=23): 13651 K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). [para(13606(a,1),13607(a,2,2))]. given #12603 (H,wt=24): 13581 x * (K(y,K(z,u)) * (w \ K(y,K(z,u)))) != v5 | x * (w \ 1) = v5. [para(13571(a,1),308(a,1,2,2))]. given #12604 (H,wt=24): 13667 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(13262,a,13573,a)]. given #12605 (H,wt=21): 13670 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(227,a,13573,a(flip),b,13667,a(flip))]. given #12606 (H,wt=23): 13671 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(227,a,9852,a,b,13670,a(flip)),flip(a)]. given #12607 (H,wt=21): 13672 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4996(a,2),13671(a,2,2,2))]. given #12608 (H,wt=19): 13673 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(6300,a,13672,a)]. given #12609 (H,wt=17): 13674 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(13274,a,13673,a)]. given #12610 (H,wt=17): 13675 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(11105,a,13674,a),flip(a)]. given #12611 (H,wt=15): 13676 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(12010,a,13675,a)]. given #12612 (H,wt=17): 13677 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(13676(a,1),5004(a,2,1))]. given #12613 (H,wt=15): 13678 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(227,a,5004,a,b,13677,a)]. given #12614 (H,wt=25): 13539 (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = u * (w \ 1). [hyper(227,a,11636,a,b,13529,a(flip)),flip(a)]. given #12615 (H,wt=25): 13597 K(x \ (y * T(x * K(z,u),K(w,v5))),u) = K(y,T(u,K(w,v5) * x)). [hyper(227,a,13302,a(flip),b,13595,a(flip))]. given #12616 (H,wt=25): 13666 K(x,K(y,z)) * (u * (w * (1 / v5))) = u * (w * (K(x,K(y,z)) / v5)). [para(13663(a,1),13650(a,2,2))]. given #12617 (H,wt=25): 13681 K(x,x \ K(y,z)) * ((u / w) \ K(x,x \ K(y,z))) = w * (u \ 1). [hyper(227,a,3336,a(flip),b,13539,a(flip)),flip(a)]. given #12618 (H,wt=25): 13683 K(x * K(y * K(z,u),K(w,v5)),T(u,y)) = K(x,T(u,K(w,v5) * y)). [hyper(227,a,10544,a(flip),b,13597,a(flip)),flip(a)]. given #12619 (H,wt=15): 13684 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(13594,a,13683,a),flip(a)]. given #12620 (H,wt=21): 13691 (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). [para(13684(a,1),13575(a,1,2))]. given #12621 (H,wt=21): 13693 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(7522(a,1),13691(a,1,2)),flip(a)]. given #12622 (H,wt=21): 13694 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(166,a,13693,a(flip),b,7838,a),flip(a)]. given #12623 (H,wt=19): 13696 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(7460,a,13694,a),flip(a)]. given #12624 (H,wt=19): 13697 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(8876,a,13696,a),flip(a)]. given #12625 (H,wt=27): 13569 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(13556(a,1),11729(a,1,2))]. given #12626 (H,wt=27): 13668 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(13528(a,1),13601(a,1,1,1))]. given #12627 (H,wt=27): 13703 K(x,y) * T(K(x,y) * z,K(u,w)) = y * (T(T(y,x),x) \ T(z,K(u,w))). [para(13697(a,2),8219(a,1,2))]. given #12628 (H,wt=27): 13706 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6500,a,13668,a),flip(a)]. given #12629 (H,wt=27): 13707 T(K(x,y) * (K(x,y) * z),K(u,w)) = y * (T(T(y,x),x) \ T(z,K(u,w))). [hyper(227,a,13697,a,b,13703,a(flip)),flip(a)]. given #12630 (H,wt=27): 13708 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(6555(a,2),13706(a,1,2))]. given #12631 (H,wt=27): 13709 T(x * (T(T(x,y),y) \ z),K(u,w)) = x * (T(T(x,y),y) \ T(z,K(u,w))). [para(8219(a,1),13707(a,1,1))]. given #12632 (H,wt=27): 13710 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(6703,a,13708,a),flip(a)]. given #12633 (H,wt=27): 13711 T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,y \ x) * (z * K(y,y \ x)). [hyper(227,a,10950,a,b,13709,a)]. given #12634 (H,wt=23): 13713 K(x,x \ y) * (z * K(x,x \ y)) = K(x,y) * (z * K(x,y)). [hyper(227,a,9993,a(flip),b,13711,a(flip))]. given #12635 (H,wt=27): 13714 K(x,x \ y) * ((z \ 1) * K(x,x \ y)) = (K(x,y) \ 1) \ (z \ K(x,y)). [hyper(227,a,3857,a,b,13713,a)]. given #12636 (H,wt=25): 13715 K(x,x \ y) * (z \ K(x,x \ y)) = (K(x,y) \ 1) \ (z \ K(x,y)). [para(6514(a,1),13714(a,1,2))]. given #12637 (H,wt=23): 13716 K(x,x \ y) * (z \ K(x,x \ y)) = K(x,y) * (z \ K(x,y)). [hyper(227,a,6474,a(flip),b,13715,a)]. given #12638 (H,wt=28): 13695 K(x,T(y,z)) * (z * K(u,w)) != K(x,y) * v5 | T(z * K(u,w),K(x,y)) = v5. [para(13693(a,2),167(a,2)),flip(a)]. given #12639 (H,wt=28): 13704 K(x,y) * T(z,K(u,R(w,v5,v6))) != v7 | T(K(x,y) * z,K(w,R(u,v5,v6))) = v7. [para(13697(a,1),8861(a,1))]. given #12640 (H,wt=31): 13579 K(1 / x,K(y,z)) * (u * ((w \ x) * (1 / x))) = ((w / u) \ x) * T(1 / x,K(y,z)). [para(9234(a,1),13531(a,1,2))]. given #12641 (H,wt=29): 13717 K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = ((w / u) \ x) * T(1 / x,K(y,z)). [para(7506(a,1),13579(a,1,1))]. given #12642 (H,wt=27): 13718 K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = (w / u) \ K(x \ K(y,z),x). [hyper(227,a,10526,a(flip),b,13717,a)]. given #12643 (H,wt=27): 13719 K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = (w / u) \ K(x,x \ K(y,z)). [para(8583(a,1),13718(a,2,2))]. given #12644 (H,wt=25): 13720 x * ((y \ z) * (K(z,K(u,w)) / z)) = (y / x) \ K(z,z \ K(u,w)). [hyper(227,a,13666,a(flip),b,13719,a(flip)),flip(a)]. given #12645 (H,wt=23): 13721 (x / y) \ K(z,z \ K(u,w)) = y * (x \ K(z,z \ K(u,w))). [para(10532(a,1),13720(a,1,2)),flip(a)]. given #12646 (H,wt=25): 13722 x * ((1 / y) \ K(z,z \ K(u,w))) = (x * y) * K(z,z \ K(u,w)). [hyper(6777,a,13721,a),flip(a)]. given #12647 (H,wt=23): 13728 (K(x,x \ K(y,z)) * u) * w = K(x,x \ K(y,z)) * (u * w). [hyper(3338,a,13722,a),flip(a)]. given #12648 (H,wt=23): 13729 (x * y) * K(z,z \ K(u,w)) = x * (y * K(z,z \ K(u,w))). [para(6543(a,1),13722(a,1,2)),flip(a)]. given #12649 (H,wt=23): 13730 (x * K(y,y \ K(z,u))) * w = x * (K(y,y \ K(z,u)) * w). [hyper(12583,a,13728,a),flip(a)]. given #12650 (H,wt=25): 13727 K(x,x \ K(y,z)) * (u * (w \ K(x,x \ K(y,z)))) = u * (w \ 1). [para(13721(a,1),13681(a,1,2))]. given #12651 (H,wt=27): 13724 T(x / y,x) \ K(z,z \ K(u,w)) = T(y,x) * (x \ K(z,z \ K(u,w))). [para(1223(a,1),13721(a,1,1))]. given #12652 (H,wt=28): 13731 T(x,y) * (y \ K(z,z \ K(u,w))) != v5 | (y \ x) * K(z,z \ K(u,w)) = v5. [para(13724(a,1),6778(a,1))]. given #12653 (H,wt=31): 13642 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13638(a,1),12987(a,1,2))]. given #12654 (H,wt=24): 13732 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(227,a,12926,a(flip),b,13642,a(flip))]. given #12655 (H,wt=22): 13734 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(6508(a,1),13732(a,1,1))]. given #12656 (H,wt=20): 13736 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(9663(a,1),13734(a,1,2))]. given #12657 (H,wt=13): 13737 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(464,a,13736,a),flip(a)]. given #12658 (H,wt=11): 13740 R(x,y,K(y,z)) != u | u = x. [para(13737(a,2),5779(a,1))]. given #12659 (H,wt=17): 13741 R(x,K(y,z) * u,K(u,K(y,w))) != v5 | v5 = x. [para(7677(a,1),13740(a,1,3))]. given #12660 (H,wt=20): 13739 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(13737(a,1),109(a,1,1))]. given #12661 (H,wt=31): 13712 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(227,a,10951,a,b,13710,a(flip)),flip(a)]. given #12662 (H,wt=31): 13742 K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [para(7253(a,1),13712(a,1,2,1))]. given #12663 (H,wt=27): 13743 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(13649(a,1),13742(a,1,2,1))]. given #12664 (H,wt=27): 13744 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(6491,a,13743,a),flip(a)]. given #12665 (H,wt=27): 13745 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(227,a,13569,a(flip),b,13744,a(flip)),flip(a)]. given #12666 (H,wt=32): 13653 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(13634(a,1),28(a,2,2,2)),flip(a)]. given #12667 (H,wt=32): 13738 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = L(z,u,K(x,y \ (x \ 1))). [hyper(227,a,10934,a,b,13737,a(flip)),flip(a)]. given #12668 (H,wt=32): 13746 (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(13661(a,2),13653(a,1,1))]. given #12669 (H,wt=32): 13748 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(13661(a,2),13746(a,1,2))]. given #12670 (H,wt=24): 13749 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [hyper(227,a,8182,a(flip),b,13748,a(flip)),flip(a)]. given #12671 (H,wt=24): 13750 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(7399(a,1),13749(a,1,3))]. given #12672 (H,wt=15): 13751 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(227,a,13652,a(flip),b,13750,a(flip))]. given #12673 (H,wt=17): 13754 L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). [para(4948(a,1),13751(a,1,2)),flip(a)]. given #12674 (H,wt=22): 13752 L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,K(v7,K(v8,v9)) * y,z). [hyper(227,a,13652,a,b,13751,a),flip(a)]. given #12675 (H,wt=18): 13755 L(x,K(y,K(z,u)) * w,v5) != v6 | L(x,w,v5) = v6. [para(13752(a,1),360(a,1)),flip(b)]. given #12676 (H,wt=18): 13757 L(x,K(y,T(z,u)),w) != v5 | L(x,K(y,z),w) = v5. [para(6230(a,1),13755(a,1,2))]. given #12677 (H,wt=20): 13758 L(x,K(y,z) * u,w) != v5 | L(x,u * K(y,z),w) = v5. [para(7444(a,1),13755(a,1,2))]. given #12678 (H,wt=20): 13759 L(x,K(y,z / u),w) != v5 | L(x,K(y,u \ z),w) = v5. [para(7946(a,1),13755(a,1,2))]. given #12679 (H,wt=33): 13679 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). [hyper(227,a,13240,a,b,13678,a(flip)),flip(a)]. given #12680 (H,wt=33): 13760 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). [para(38(a,1),13679(a,1,2,1,2))]. given #12681 (H,wt=33): 13761 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(7486(a,1),13760(a,1,2))]. given #12682 (H,wt=27): 13762 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(13599(a,1),13761(a,1,2))]. given #12683 (H,wt=27): 13763 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(227,a,8237,a(flip),b,13762,a(flip)),flip(a)]. given #12684 (H,wt=27): 13764 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(13697(a,2),13763(a,1,2))]. given #12685 (H,wt=27): 13765 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(8289(a,1),13764(a,1,2,1))]. given #12686 (H,wt=25): 13766 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(7196(a,1),13765(a,1,2))]. given #12687 (H,wt=25): 13767 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(6443(a,1),13766(a,1,2))]. given #12688 (H,wt=21): 13768 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(6860,a,13767,a)]. given #12689 (H,wt=21): 13769 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(227,a,13745,a(flip),b,13768,a(flip)),flip(a)]. given #12690 (H,wt=21): 13770 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(6490,a,13769,a),flip(a)]. given #12691 (H,wt=24): 13771 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(13770(a,2),10835(a,2,2)),flip(a)]. given #12692 (H,wt=15): 13773 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(227,a,11398,a(flip),b,13771,a(flip)),flip(a)]. given #12693 (H,wt=13): 13774 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(13757,a,13773,a),flip(a)]. given #12694 (H,wt=24): 13775 ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = L(x,K(y,z),1 / u). [hyper(227,a,6538,a,b,13774,a(flip)),flip(a)]. given #12695 (H,wt=24): 13776 ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = L(x,K(y,z),u \ 1). [hyper(227,a,4567,a(flip),b,13775,a)]. given #12696 (H,wt=22): 13777 ((x * K(y,z)) / (u * K(y,z))) * u = L(x,K(y,z),u \ 1). [hyper(227,a,9873,a(flip),b,13776,a(flip)),flip(a)]. given #12697 (H,wt=22): 13778 ((K(x,y) / z) \ (K(x,y) / u)) * u = L(z,K(y,x),u \ 1). [para(5451(a,1),13777(a,1,1))]. given #12698 (H,wt=22): 13779 ((x / (K(y,z) * u)) * K(y,z)) * u = L(x,K(z,y),u \ 1). [para(9861(a,1),13778(a,1,1))]. given #12699 (H,wt=22): 13780 (K(x,y) * ((K(y,x) * z) / u)) * u = L(z,K(x,y),u \ 1). [para(9848(a,1),13779(a,1,1))]. given #12700 (H,wt=19): 13781 L(x,K(y,z),u * K(z,y)) = L(x,K(z,y),u \ 1). [hyper(9766,a,13780,a)]. given #12701 (H,wt=19): 13783 L(x,K(y,z),(u \ 1) * K(z,y)) = L(x,K(z,y),u). [hyper(227,a,4581,a(flip),b,13781,a)]. given #12702 (H,wt=17): 13784 L(x,K(y,z),u \ K(z,y)) = L(x,K(z,y),u). [hyper(227,a,12084,a(flip),b,13783,a(flip)),flip(a)]. given #12703 (H,wt=21): 13785 L(x,K(y,z),y \ (u \ K(z,y))) = L(x,K(z,y),u * y). [para(7210(a,1),13784(a,1,3))]. given #12704 (H,wt=22): 13782 (K(x,y) / z) * (z / (u \ K(x,y))) = L(u,K(x,y),z \ 1). [hyper(227,a,10903,a(flip),b,13780,a(flip)),flip(a)]. given #12705 (H,wt=23): 13786 x / (y \ K(z \ u,u \ z)) = (K(z \ u,u \ z) / x) \ y. [hyper(72,a,9148,a(flip),b,13782,a),flip(a)]. given #12706 (H,wt=29): 13787 (1 / x) \ (y * (z * K(u \ w,w \ u))) = (K(u \ w,w \ u) / x) \ (y * z). [hyper(227,a,10523,a,b,13786,a(flip)),flip(a)]. given #12707 (H,wt=33): 13788 (K(x \ y,y \ x) / T(z,u \ (w \ 1))) \ (w * u) = (w * (u * K(x \ y,y \ x))) * z. [hyper(227,a,13236,a(flip),b,13787,a(flip))]. given #12708 (H,wt=27): 13789 ((x * y) * z) * K(u \ w,w \ u) = (x * (y * K(u \ w,w \ u))) * z. [hyper(227,a,10987,a(flip),b,13788,a(flip)),flip(a)]. given #12709 (H,wt=27): 13790 (x * (y * K(z \ u,u \ z))) * w = (x * y) * (w * K(z \ u,u \ z)). [hyper(9304,a,13789,a)]. given #12710 (H,wt=33): 13791 x * (1 / ((y * z) * (x * K(u \ w,w \ u)))) = K(x \ (u * w),(u * w) \ x) / (y * z). [para(13790(a,1),13202(a,1,2,2))]. given #12711 (H,wt=31): 13792 K(x \ (y * z),(y * z) \ x) / (u * w) = x * ((K(z \ y,y \ z) / x) / (u * w)). [para(5111(a,1),13791(a,1,2)),flip(a)]. given #12712 (H,wt=31): 13793 K(x \ (y * z),(y * z) \ x) / (u * w) = x * (K(z \ y,y \ z) / ((u * w) * x)). [para(9320(a,1),13792(a,2,2))]. given #12713 (H,wt=27): 13794 x * (K(y \ z,z \ y) / ((u * y) * x)) = y \ (K(z \ x,x \ z) / u). [hyper(227,a,13380,a(flip),b,13793,a(flip))]. given #12714 (H,wt=31): 13795 (x * (K(y \ z,z \ y) / ((u * w) * x))) * u = K((x / z) \ y,y \ (x / z)) / w. [para(13793(a,1),13228(a,1,1))]. given #12715 (H,wt=31): 13796 x * (K(y \ z,z \ y) / ((u \ (u * w)) * x)) = K((x / y) \ z,z \ (x / y)) / w. [hyper(227,a,13393,a(flip),b,13795,a(flip)),flip(a)]. given #12716 (H,wt=27): 13797 K((x / y) \ z,z \ (x / y)) / u = x * (K(y \ z,z \ y) / (u * x)). [para(13(a,1),13796(a,1,2,2,1)),flip(a)]. given #12717 (H,wt=27): 13799 K(x \ (y * z),(y * z) \ x) / u = x * (K(y \ z,z \ y) / (u * x)). [para(13227(a,1),13797(a,1,1))]. given #12718 (H,wt=35): 13723 (x / T(y,K(z,z \ K(u,w)) \ x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. [hyper(227,a,6132,a(flip),b,13721,a)]. given #12719 (H,wt=35): 13800 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (K(z \ (y / x),(y / x) \ z) / (u * x)). [hyper(227,a,13220,a(flip),b,13799,a(flip)),flip(a)]. given #12720 (H,wt=35): 13801 (x / T(y,K(z \ K(u,w),z) * x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. [para(6443(a,1),13723(a,1,1,2,2))]. given #12721 (H,wt=35): 13802 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (K(z \ (x * y),(x * y) \ z) / (u * x)). [para(13215(a,1),13800(a,2,2,1))]. given #12722 (H,wt=35): 13803 (x / T(y,K(z,z \ K(u,w)) * x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. [para(8583(a,1),13801(a,1,1,2,2,1))]. given #12723 (H,wt=35): 13804 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (z * (K(x \ y,y \ x) / ((u * x) * z))). [para(13799(a,1),13802(a,2,2))]. given #12724 (H,wt=31): 13806 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (x \ (K(y \ z,z \ y) / u)). [para(13794(a,1),13804(a,2,2))]. given #12725 (H,wt=27): 13807 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = K(y \ z,z \ y) / u. [hyper(227,a,14,a(flip),b,13806,a)]. given #12726 (H,wt=27): 13809 K(x \ ((x / y) * z),x \ ((z / x) \ y)) / u = K(z \ y,y \ z) / u. [hyper(227,a,6845,a,b,13807,a(flip)),flip(a)]. given #12727 (H,wt=27): 13811 K(x \ y,y \ x) / (z \ ((z / y) * x)) = T((z \ ((z / y) * x)) \ 1,1). [hyper(227,a,11728,a(flip),b,13809,a(flip))]. given #12728 (H,wt=27): 13813 (K(x \ y,y \ x) / ((z / y) * x)) * z = T((z \ ((z / y) * x)) \ 1,1). [hyper(227,a,9302,a(flip),b,13811,a(flip)),flip(a)]. given #12729 (H,wt=25): 13814 (x \ (y * (1 / ((z / y) * y)))) * z = T((z \ ((z / y) * x)) \ 1,1). [para(11682(a,1),13813(a,1,1))]. given #12730 (H,wt=21): 13815 T((x \ ((x / y) * z)) \ 1,1) = (z \ (y * (1 / x))) * x. [para(16(a,1),13814(a,1,1,2,2,2)),flip(a)]. given #12731 (H,wt=19): 13816 T(x \ ((y / x) \ z),1) = (y \ (z * (1 / x))) * x. [para(1592(a,1),13815(a,1,1))]. given #12732 (H,wt=17): 13817 (x \ (y * (1 / z))) * z = z \ ((x / z) \ y). [hyper(152,a,13816,a)]. given #12733 (H,wt=19): 13820 x * (x \ ((y / x) \ (y / z))) = y \ ((y * x) / z). [para(13817(a,1),13378(a,1,2))]. given #12734 (H,wt=15): 13821 (x / y) \ (x / z) = x \ ((x * y) / z). [hyper(205,a,13820,a),flip(a)]. given #12735 (H,wt=16): 13823 x \ ((x * (y * z)) / z) = R(y,z,x \ 1). [hyper(227,a,1834,a(flip),b,13821,a(flip))]. given #12736 (H,wt=16): 13826 x \ (y / (z \ (x \ y))) = R(z,y,x \ 1). [para(1175(a,1),13823(a,1,2))]. given #12737 (H,wt=16): 13827 (x * ((x \ y) / z)) * z = R(y,x,z \ 1). [hyper(227,a,13373,a(flip),b,13826,a(flip)),flip(a)]. given #12738 (H,wt=20): 13829 (x \ 1) \ ((x \ y) * (y \ z)) = R(z,y,(x \ 1) \ 1). [para(13415(a,1),13826(a,1,2))]. given #12739 (H,wt=18): 13830 (x * y) * (y \ (x \ z)) = R(z,x,(y \ 1) \ 1). [hyper(227,a,13410,a(flip),b,13829,a(flip)),flip(a)]. given #12740 (H,wt=17): 13831 R(x,y,(z \ 1) \ 1) = R(1 / x,y,z) \ 1. [hyper(227,a,1630,a(flip),b,13830,a(flip))]. given #12741 (H,wt=13): 13832 R(1 / x,y,z) \ 1 = R(x,y,z). [hyper(10443,a,13831,a),flip(a)]. given #12742 (H,wt=16): 13833 R(1 / x,y,z) \ 1 != u | R(x,y,z) = u. [para(13831(a,1),10443(a,1))]. given #12743 (H,wt=20): 13834 (x * (y \ 1)) \ (x * (y \ z)) = R(z,y,y \ (x \ 1)). [hyper(227,a,13419,a(flip),b,13832,a(flip)),flip(a)]. given #12744 (H,wt=21): 13818 x \ ((y \ (z * (1 / x))) \ 1) = (x \ ((y / x) \ z)) \ 1. [para(13817(a,1),123(a,1,1)),flip(a)]. given #12745 (H,wt=21): 13819 x \ (((1 / y) / x) \ (1 / z)) = (y / ((1 / x) \ z)) * x. [para(342(a,1),13817(a,1,1)),flip(a)]. given #12746 (H,wt=21): 13835 R(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),u \ 1,w). [hyper(12722,a,13834,a),flip(a)]. given #12747 (H,wt=21): 13837 x \ ((1 / (x * y)) \ (1 / z)) = (y / ((1 / x) \ z)) * x. [para(325(a,1),13819(a,1,2,1))]. given #12748 (H,wt=17): 13838 (x / ((1 / y) \ z)) * y = y \ ((y * x) / z). [para(339(a,1),13837(a,1,2)),flip(a)]. given #12749 (H,wt=23): 13825 x \ ((x * (x \ ((x * y) * z))) / u) = ((x / z) / y) \ (x / u). [para(1882(a,1),13821(a,1,1)),flip(a)]. given #12750 (H,wt=19): 13840 ((x / y) / z) \ (x / u) = x \ (((x * z) * y) / u). [para(14(a,1),13825(a,1,2,1)),flip(a)]. given #12751 (H,wt=20): 13841 x \ (((x * y) * z) / (y * z)) = a(y,z,x \ 1) \ 1. [hyper(227,a,12982,a(flip),b,13840,a(flip))]. given #12752 (H,wt=15): 13843 a(x,y,z \ 1) \ 1 = z \ R(z,x,y). [para(30(a,2),13841(a,1,2)),flip(a)]. given #12753 (H,wt=15): 13844 a(x \ 1,y,z \ 1) = z \ R(z,x,y). [hyper(13461,a,13843,a)]. given #12754 (H,wt=21): 13845 a(x \ 1,y,(1 / z) \ 1) \ z = R(1 / z,x,y) \ 1. [para(13844(a,2),279(a,1,1))]. given #12755 (H,wt=17): 13846 R(1 / x,y,z) \ 1 = a(y \ 1,z,x) \ x. [para(65(a,1),13845(a,1,1,3)),flip(a)]. given #12756 (H,wt=15): 13847 R(1 / x,y,z) \ 1 = a(y,z,x) * x. [hyper(227,a,13452,a(flip),b,13846,a)]. given #12757 (H,wt=15): 13848 R(1 / x,y,z) \ 1 = x * a(y,z,x). [hyper(227,a,12811,a(flip),b,13847,a)]. given #12758 (H,wt=11): 13849 R(x,y,z) = x * a(y,z,x). [hyper(13833,a,13848,a)]. given #12759 (H,wt=28): 13839 L(x,y,y) * ((y \ ((y * z) / x)) * L(x,y,y)) = y \ ((y * L(x,y,y)) * z). [para(13838(a,1),13371(a,1,2,1))]. given #12760 (H,wt=22): 13850 x \ ((x * L(y,x,x)) * z) = y * ((x \ ((x * z) / y)) * y). [hyper(227,a,10535,a(flip),b,13839,a(flip))]. given #12761 (H,wt=21): 13852 (x / y) \ L(x * z,y,y) = x \ ((x * L(y,x,x)) * z). [hyper(227,a,9319,a(flip),b,13850,a),flip(a)]. given #12762 (H,wt=20): 13853 (x / y) \ L(x * z,y,y) = x \ (((1 / x) \ y) * z). [para(1368(a,1),13852(a,2,2,1))]. given #12763 (H,wt=18): 13854 (x / y) \ L(x * z,y,y) = (y * (z / x)) * x. [hyper(227,a,918,a(flip),b,13853,a)]. given #12764 (H,wt=19): 13855 L(x,y \ 1,L(z,y,y)) = (y * ((y \ x) / z)) * z. [hyper(10711,a,13854,a)]. given #12765 (H,wt=16): 13856 L(x,y \ 1,L(z,y,y)) = R(x,y,z \ 1). [hyper(227,a,13827,a(flip),b,13855,a)]. given #12766 (H,wt=13): 13857 R(x,y,z \ 1) = L(x,y \ 1,z). [hyper(227,a,12081,a(flip),b,13856,a(flip))]. given #12767 (H,wt=13): 13859 R(x,y,z) = L(x,y \ 1,z \ 1). [hyper(10443,a,13857,a)]. given #12768 (H,wt=15): 13862 R(K(x,y),z,x \ 1) != u | K(x,y) = u. [para(13857(a,2),7303(a,1))]. given #12769 (H,wt=16): 13863 L(x,y \ 1,z \ 1) != u | R(x,y,z) = u. [para(13857(a,1),10443(a,1))]. given #12770 (H,wt=25): 13858 L(R(x,y,z \ 1),z / y,K(z,u)) = L(x,y \ 1,L(T(z,u),y,y)). [para(13856(a,1),11453(a,1,1))]. given #12771 (H,wt=22): 13866 L(R(x,y,z \ 1),z / y,K(z,u)) = R(x,y,T(z,u) \ 1). [hyper(227,a,13856,a(flip),b,13858,a)]. given #12772 (H,wt=22): 13867 L(L(x,y \ 1,z),z / y,K(z,u)) = R(x,y,T(z,u) \ 1). [para(13857(a,1),13866(a,1,1))]. given #12773 (H,wt=22): 13868 L(L(x,y \ 1,z),z / y,K(z,u)) = L(x,y \ 1,T(z,u)). [hyper(227,a,13857,a(flip),b,13867,a)]. given #12774 (H,wt=29): 13824 L(R(x,1 / y,z),1 / y,1 / y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). [para(13821(a,1),1742(a,2,1,1))]. given #12775 (H,wt=29): 13869 L(R(x,y \ 1,z),1 / y,1 / y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). [para(10773(a,1),13824(a,1,1))]. given #12776 (H,wt=25): 13870 L(R(x,y \ 1,z),y,y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). [hyper(1471,a,13869,a)]. given #12777 (H,wt=23): 13871 L(R(x,y \ 1,z),y,y) = ((1 \ (x / y)) * z) / ((1 / y) * z). [para(11(a,1),13870(a,2,1,1,2,1))]. given #12778 (H,wt=21): 13872 L(R(x,y \ 1,z),y,y) = ((x / y) * z) / ((1 / y) * z). [para(50(a,1),13871(a,2,1,1))]. given #12779 (H,wt=21): 13873 L(R(x,y \ 1,z),y,y) = z / ((1 / y) * ((x / y) \ z)). [hyper(227,a,1182,a(flip),b,13872,a)]. given #12780 (H,wt=19): 13874 L(R(x,y \ 1,z),y,y) = z / ((y * x) \ (y * z)). [para(13420(a,1),13873(a,2,2))]. given #12781 (H,wt=18): 13875 L(R(x,y \ 1,z),y,y) = L(x,y,z \ (y \ 1)). [hyper(227,a,4605,a(flip),b,13874,a)]. given #12782 (H,wt=15): 13876 L(x,y,(y / z) \ (y \ 1)) = L(x,y,z). [hyper(13493,a,13875,a),flip(a)]. given #12783 (H,wt=13): 13877 L(x,y,z / (y * y)) = L(x,y,z). [para(2109(a,1),13876(a,1,3))]. given #12784 (H,wt=11): 13878 L(x,y,z \ 1) = L(x,z,y). [hyper(9720,a,13877,a)]. given #12785 (H,wt=11): 13879 R(x,y,z) = L(x,z,y \ 1). [hyper(13863,a,13878,a)]. given #12786 (H,wt=9): 13889 R(x,y,z) = L(x,y,z). [hyper(227,a,13878,a(flip),b,13879,a)]. given #12787 (H,wt=9): 13890 L(x,y,z) = R(x,y,z). [hyper(227,a,13879,a,b,13878,a(flip))]. given #12788 (H,wt=11): 13885 L(x,y \ 1,z) = L(x,z,y). [hyper(227,a,4581,a(flip),b,13878,a(flip))]. given #12789 (H,wt=11): 13886 L(x,1 / y,z) = L(x,z,y). [para(65(a,1),13878(a,1,3)),flip(a)]. given #12790 (H,wt=11): 13888 R(x,y,z \ 1) = R(x,z,y). [hyper(227,a,13859,a,b,13879,a)]. given #12791 (H,wt=11): 13894 L(x,y,z) = x * a(y,z,x). [hyper(227,a,13849,a(flip),b,13889,a(flip))]. given #12792 (H,wt=11): 13896 a(x,y,z) = z \ L(z,x,y). [hyper(72,a,13889,a(flip),b,13849,a(flip)),flip(a)]. given #12793 (H,wt=11): 13902 R(x,y,z) = L(x,z \ 1,y). [hyper(13863,a,13885,a)]. given #12794 (H,wt=11): 13912 R(x,y \ 1,z) = R(x,z,y). [hyper(10443,a,13888,a),flip(a)]. given #12795 (H,wt=11): 13913 a(x \ 1,y,z) = a(z,y,x). [hyper(13450,a,13894,a)]. given #12796 (H,wt=11): 13914 L(x,y,z) = a(y,z,x) * x. [hyper(227,a,12811,a,b,13894,a)]. given #12797 (H,wt=11): 13915 a(x,y,z \ 1) = a(z,y,x). [hyper(227,a,13438,a,b,13896,a)]. given #12798 (H,wt=11): 13916 a(x,y,z) \ 1 = a(z,y,x). [hyper(227,a,13433,a,b,13896,a),flip(a)]. given #12799 (H,wt=11): 13921 a(x \ 1,y,z) = a(x,z,y). [hyper(13478,a,13913,a)]. given #12800 (H,wt=9): 13925 a(x,y,z) = a(z,x,y). [hyper(227,a,13913,a(flip),b,13921,a(flip)),flip(a)]. given #12801 (H,wt=11): 13923 a(x,y,z) = x \ L(x,y,z). [hyper(227,a,13481,a(flip),b,13916,a(flip))]. given #12802 (H,wt=11): 13924 L(x,y,z) = x * a(x,y,z). [para(13916(a,1),13480(a,2,2))]. given #12803 (H,wt=11): 13926 a(x,y,z) \ 1 = a(x,z,y). [hyper(227,a,13448,a(flip),b,13921,a(flip)),flip(a)]. given #12804 (H,wt=11): 13928 L(x,y,z) = a(x,y,z) * x. [para(13921(a,1),13453(a,2,1))]. given #12805 (H,wt=11): 13930 a(x,y,z) = L(z,y,x) \ z. [hyper(227,a,13428,a(flip),b,13925,a)]. given #12806 (H,wt=11): 13933 a(x,y,z \ 1) = a(x,z,y). [hyper(227,a,13915,a,b,13925,a(flip)),flip(a)]. given #12807 (H,wt=11): 13934 a(x,y,z) * 1 = a(z,x,y). [hyper(227,a,12,a,b,13925,a(flip)),flip(a)]. given #12808 (H,wt=11): 13939 a(x,y,z) = x \ R(x,y,z). [para(13889(a,2),13923(a,2,2))]. given #12809 (H,wt=12): 13901 R(x,y,a(z,u,z)) != w | w = x. [para(13889(a,2),11968(a,1))]. given #12810 (H,wt=12): 13950 a(x,y,z) != u | a(y,z,x) = u. [para(13934(a,1),81(a,1)),flip(b)]. given #12811 (H,wt=13): 13883 L(x,y,y \ z) = L(x,y,y * z). [hyper(227,a,9691,a(flip),b,13878,a(flip)),flip(a)]. given #12812 (H,wt=13): 13892 L(x,y,K(y,z) * u) = R(x,y,u). [hyper(9659,a,13889,a),flip(a)]. given #12813 (H,wt=13): 13927 x / a(y,z,u) = x * a(y,u,z). [para(13921(a,1),13445(a,1,2))]. given #12814 (H,wt=13): 13929 a(x,y,T(z,u)) = T(a(z,x,y),u). [hyper(227,a,13499,a(flip),b,13925,a)]. given #12815 (H,wt=13): 13931 a(x,y,K(z,u)) = a(z,x,K(y,u)). [hyper(227,a,12876,a(flip),b,13925,a)]. given #12816 (H,wt=13): 13932 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(227,a,12874,a(flip),b,13925,a)]. given #12817 (H,wt=13): 13940 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(227,a,12889,a(flip),b,13924,a)]. given #12818 (H,wt=13): 13965 L(x,y,z / y) = L(x,y,y * z). [hyper(11083,a,13883,a)]. given #12819 (H,wt=13): 13968 L(x,y,K(y,z) * u) = L(x,y,u). [hyper(227,a,13890,a,b,13892,a)]. given #12820 (H,wt=11): 13975 L(x,y,T(y,z)) = L(x,y,y). [para(5004(a,2),13968(a,1,3))]. given #12821 (H,wt=13): 13970 a(x,y,T(z,u)) = T(a(x,y,z),u). [para(13925(a,2),13929(a,2,1))]. given #12822 (H,wt=13): 13971 a(x,K(y,z),u) = a(x,y,K(u,z)). [hyper(227,a,13925,a,b,13931,a),flip(a)]. given #12823 (H,wt=13): 13979 a(x,y,T(z,u)) = a(z,x,T(y,u)). [hyper(227,a,13929,a,b,13970,a),flip(a)]. given #12824 (H,wt=13): 13980 a(x,T(y,z),u) = a(x,y,T(u,z)). [hyper(227,a,13925,a,b,13979,a),flip(a)]. given #12825 (H,wt=14): 13884 L(x \ y,z,x) = (x \ z) / (y \ z). [hyper(227,a,4594,a(flip),b,13878,a(flip))]. given #12826 (H,wt=14): 13887 L(x,y,z \ 1) != u | R(x,z,y) = u. [para(13878(a,1),13863(a,1))]. given #12827 (H,wt=12): 13982 L(x,y,z) != u | R(x,y,z) = u. [para(13878(a,1),13887(a,1))]. given #12828 (H,wt=14): 13893 L((x / y) / z,z,y) = x / (z * y). [hyper(595,a,13889,a),flip(a)]. given #12829 (H,wt=14): 13895 L(x,y,z) = z / (y * ((x * y) \ z)). [hyper(227,a,1332,a(flip),b,13889,a(flip))]. given #12830 (H,wt=14): 13898 L(x,y,z) * (y * z) = (x * y) * z. [para(13889(a,1),109(a,1,1))]. given #12831 (H,wt=14): 13905 L(x,y,z \ 1) != u | L(x,z,y) = u. [para(13885(a,1),10709(a,1))]. given #12832 (H,wt=12): 13994 R(x,y,z) != u | L(x,y,z) = u. [para(13879(a,2),13905(a,1))]. given #12833 (H,wt=14): 13917 a(x,y,z) * z != u | L(z,x,y) = u. [para(13896(a,2),9210(a,1,1))]. given #12834 (H,wt=14): 13919 R(x,y,z) = y / ((x \ (y / z)) * z). [hyper(227,a,9254,a,b,13912,a(flip))]. given #12835 (H,wt=14): 13935 a(x,y,z) * x != u | L(x,y,z) = u. [para(13923(a,2),9210(a,1,1))]. given #12836 (H,wt=14): 13944 a(x,y,z) \ 1 != u | a(x,z,y) = u. [para(13926(a,1),11598(a,1,1))]. given #12837 (H,wt=14): 13945 L(x,y,z) != u * x | a(x,y,z) = u. [para(13928(a,2),20(a,1))]. given #12838 (H,wt=14): 13960 R(x,y,z \ L(z,u,z)) != w | w = x. [para(13923(a,1),13901(a,1,3))]. given #12839 (H,wt=14): 13963 a(x,y,z) != u | a(z,y,x \ 1) = u. [para(13921(a,1),13950(a,1))]. given #12840 (H,wt=14): 13964 a(x \ 1,y,z) != u | a(z,y,x) = u. [para(13921(a,2),13950(a,1))]. given #12841 (H,wt=14): 13987 L(x,y,z) \ z = y * ((x * y) \ z). [para(13895(a,2),65(a,1,1))]. given #12842 (H,wt=14): 13995 L(x,y \ 1,z) != u | L(x,z,y) = u. [para(13902(a,1),13994(a,1))]. given #12843 (H,wt=15): 13937 (x * y) * a(y,z,u) = x * L(y,z,u). [para(13923(a,2),13455(a,1,2))]. given #12844 (H,wt=15): 13938 L(x,y,z) * (x \ u) = a(x,y,z) * u. [para(13923(a,2),13459(a,1,1)),flip(a)]. given #12845 (H,wt=15): 13941 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(12917,a,13924,a(flip))]. given #12846 (H,wt=15): 13949 a(x,y,(z \ 1) * u) = a(x,u \ z,y). [hyper(10929,a,13933,a)]. given #12847 (H,wt=15): 13972 a(x,y,K(x \ z,u)) = a(x,u,K(y,z)). [hyper(12900,a,13932,a),flip(a)]. given #12848 (H,wt=15): 13974 x * a(y,z,K(u,x)) = L(x,y,K(u,z)). [para(13932(a,2),13924(a,2,2)),flip(a)]. given #12849 (H,wt=13): 14005 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(227,a,13941,a(flip),b,13974,a(flip))]. given #12850 (H,wt=13): 14006 L(x,K(y,z),u) = L(x,z,K(y,u)). [hyper(227,a,13436,a(flip),b,13974,a(flip)),flip(a)]. given #12851 (H,wt=13): 14016 L(L(x,y,K(z,u)),K(y,z),u) = x. [para(14006(a,1),13660(a,1,1))]. given #12852 (H,wt=15): 13976 L(x,y,T(z,y) \ u) = L(x,y,z \ u). [para(6421(a,1),13968(a,1,3))]. given #12853 (H,wt=15): 14002 a(x,y,z) * (x * u) = L(x,y,z) * u. [para(13(a,1),13938(a,1,2)),flip(a)]. given #12854 (H,wt=15): 14007 L(x,y,K(z,z \ u)) = L(x,z,K(u,y)). [hyper(227,a,12079,a,b,14005,a),flip(a)]. given #12855 (H,wt=15): 14008 L(x,y,K(z * u,z)) = L(x,u,K(z,y)). [hyper(227,a,12078,a,b,14005,a),flip(a)]. given #12856 (H,wt=15): 14010 L(K(x,y),z,K(x,u)) != w | K(x,y) = w. [para(14005(a,1),6295(a,1))]. given #12857 (H,wt=15): 14011 L(K(x,y),z,K(u,x)) != w | K(x,y) = w. [para(14005(a,2),6295(a,1))]. given #12858 (H,wt=15): 14022 L(x,y \ z,K(u,y)) = L(x,y,K(z,u)). [hyper(227,a,14005,a(flip),b,14007,a(flip)),flip(a)]. given #12859 (H,wt=15): 14023 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [hyper(227,a,14005,a,b,14008,a(flip)),flip(a)]. given #12860 (H,wt=16): 13899 L(x,y,z) * (z * y) = (x * y) * T(z,y). [para(13889(a,1),9666(a,1,1))]. given #12861 (H,wt=16): 13943 L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(13924(a,2),12890(a,1))]. given #12862 (H,wt=16): 13961 a(x,y,K(z,u)) != w | a(y,z,K(x,u)) = w. [para(12876(a,1),13950(a,1))]. given #12863 (H,wt=16): 13962 T(a(x,y,z),u) != w | a(y,z,T(x,u)) = w. [para(13499(a,1),13950(a,1))]. given #12864 (H,wt=16): 13984 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(12934(a,1),13982(a,1))]. given #12865 (H,wt=16): 13992 L(x,y,y \ z) != u | L(x,y,y * z) = u. [para(9691(a,1),13905(a,1))]. given #12866 (H,wt=16): 13998 L(x,y,(z \ 1) \ 1) != u | L(x,y,z) = u. [para(13878(a,2),13995(a,1))]. given #12867 (H,wt=16): 13999 R(x,y,z \ 1) != u | L(x,y \ 1,z) = u. [para(13879(a,2),13995(a,1))]. given #12868 (H,wt=16): 14025 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(9679,a,14023,a),flip(a)]. given #12869 (H,wt=16): 14027 a(x,K(y,z),u) != w | a(x,y,K(u,z)) = w. [para(13925(a,2),13961(a,1))]. given #12870 (H,wt=16): 14028 T(a(x,y,z),u) != w | a(x,y,T(z,u)) = w. [para(13925(a,2),13962(a,1,1))]. given #12871 (H,wt=16): 14029 L(x,y,z / y) != u | L(x,y,y * z) = u. [para(11075(a,2),13992(a,1))]. given #12872 (H,wt=16): 14032 L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). [hyper(227,a,14005,a(flip),b,14025,a(flip)),flip(a)]. given #12873 (H,wt=16): 14033 L(L(x,y,T(z,u)),K(y,z),u) = L(x,y,z). [para(14025(a,1),14016(a,1,1))]. given #12874 (H,wt=16): 14034 a(x,y,T(z,u)) != w | a(z,x,T(y,u)) = w. [para(13929(a,2),14028(a,1))]. given #12875 (H,wt=16): 14036 L(L(x,y,T(z,u)),z,K(y,u)) = L(x,y,z). [hyper(227,a,14006,a(flip),b,14033,a(flip)),flip(a)]. given #12876 (H,wt=17): 13904 L(x,(y \ z) \ z,u) = L(x,u \ 1,T(y,z)). [hyper(227,a,12088,a(flip),b,13885,a(flip))]. given #12877 (H,wt=15): 14038 L(x,(y \ z) \ z,u) = L(x,T(y,z),u). [hyper(227,a,13885,a(flip),b,13904,a)]. given #12878 (H,wt=15): 14039 L(x,T(y,y * z),u) = L(x,T(y,z),u). [hyper(227,a,10718,a,b,14038,a(flip)),flip(a)]. given #12879 (H,wt=17): 13906 L(x,L(y \ 1,z,u),w) = L(x,w,L(y,z,u)). [para(13064(a,2),13885(a,1,2))]. given #12880 (H,wt=17): 13978 L(x,y / z,y / z) = L(x,y / z,z \ y). [para(115(a,1),13975(a,1,3)),flip(a)]. given #12881 (H,wt=17): 13988 (x * y) * z != u * (y * z) | L(x,y,z) = u. [para(13898(a,1),20(a,1))]. given #12882 (H,wt=17): 13996 x / ((y \ (x / z)) * z) != u | L(y,x,z) = u. [para(13919(a,1),13994(a,1))]. given #12883 (H,wt=17): 14004 a(x,y,(z \ 1) * u) \ 1 = a(x,y,u \ z). [para(13949(a,2),13926(a,1,1))]. given #12884 (H,wt=15): 14042 a(x,(y \ 1) * z,u) = a(x,u,z \ y). [hyper(13944,a,14004,a)]. given #12885 (H,wt=15): 14043 a(x,y,z \ (1 / u)) = a(x,u * z,y). [para(65(a,1),14042(a,1,2,1)),flip(a)]. given #12886 (H,wt=17): 14012 L(x,K(y,z \ u),w) = L(x,u / z,K(y,w)). [hyper(13759,a,14006,a)]. given #12887 (H,wt=17): 14021 (a(x,y,z) * x) * u = a(x,y,z) * (x * u). [para(13928(a,1),14002(a,2,1)),flip(a)]. given #12888 (H,wt=12): 14046 L(a(x,y,z),x,u) = a(x,y,z). [hyper(13988,a,14021,a)]. given #12889 (H,wt=17): 14024 L(x,y / z,K(u,w)) = L(x,w,K(u,z / y)). [para(6108(a,1),14008(a,1,3)),flip(a)]. given #12890 (H,wt=17): 14040 L(x,T(y,y * z),u) \ x = a(x,u,T(y,z)). [para(14039(a,2),13428(a,2,1)),flip(a)]. given #12891 (H,wt=15): 14049 a(x,y,T(z,z * u)) = a(x,y,T(z,u)). [hyper(13437,a,14040,a)]. given #12892 (H,wt=15): 14050 a(x,y,T(z,z \ u)) = a(x,y,T(z,u)). [para(14(a,1),14049(a,1,3,2)),flip(a)]. given #12893 (H,wt=15): 14051 a(x,y,T(z,x \ u)) = a(y,z,T(x,u)). [hyper(14034,a,14050,a)]. given #12894 (H,wt=15): 14052 a(x,y,T(z,x \ u)) = a(x,y,T(z,u)). [hyper(227,a,13979,a(flip),b,14051,a)]. given #12895 (H,wt=17): 14041 L(x,y / z,z \ y) = L(x,z \ y,z \ y). [hyper(227,a,9809,a(flip),b,13978,a(flip))]. given #12896 (H,wt=17): 14045 L(x,y / z,K(u,w)) = L(x,z \ y,K(u,w)). [hyper(227,a,14006,a(flip),b,14012,a(flip))]. given #12897 (H,wt=15): 14055 L(x,y / z,K(u,z)) = L(x,z,K(y,u)). [hyper(227,a,14022,a(flip),b,14045,a)]. given #12898 (H,wt=18): 13922 a(x \ 1,y,K(z,u)) != w | a(u,y,K(z,x)) = w. [para(13913(a,2),12901(a,1))]. given #12899 (H,wt=18): 13973 a(x,y,K(x \ z,u)) != w | a(x,u,K(y,z)) = w. [para(13932(a,1),12900(a,1))]. given #12900 (H,wt=18): 13990 L(x,y,z \ (u \ 1)) != w | L(x,u * z,y) = w. [para(123(a,1),13905(a,1,3))]. given #12901 (H,wt=18): 14017 L(x,y,K(z,u \ 1)) != w | L(x,u,K(z,y)) = w. [para(14006(a,1),13905(a,1))]. given #12902 (H,wt=18): 14053 a(x,y,T(z,x \ u)) != w | a(x,y,T(z,u)) = w. [para(14051(a,2),14034(a,1))]. given #12903 (H,wt=18): 14057 a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. [para(12877(a,1),13922(a,1))]. given #12904 (H,wt=18): 14060 L(x,y,K(z * u,z)) != w | L(x,u,K(z,y)) = w. [para(5335(a,2),14017(a,1,3))]. given #12905 (H,wt=16): 14063 L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. [para(12078(a,1),14060(a,1))]. given #12906 (H,wt=16): 14064 T(x,a(y,z,u)) != w | L(x,u,K(y,z)) = w. [para(13940(a,1),14063(a,1))]. given #12907 (H,wt=16): 14065 L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w. [para(14005(a,1),14063(a,1))]. given #12908 (H,wt=16): 14067 L(x,K(y,z),u) != w | L(x,z,K(y,u)) = w. [para(13443(a,2),14064(a,1))]. given #12909 (H,wt=18): 14066 L(x * a(y,z,u),y,K(u,z)) = a(y,z,u) * x. [hyper(14064,a,12918,a)]. given #12910 (H,wt=18): 14068 x * a(y,z,K(u,x)) != w | L(x,z,K(y,u)) = w. [para(13974(a,2),14065(a,1))]. given #12911 (H,wt=19): 13903 R(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),w,u). [hyper(227,a,13835,a,b,13885,a(flip)),flip(a)]. given #12912 (H,wt=19): 13969 ((x * y) * z) * a(x,z,y) != u | x * (y * z) = u. [para(13927(a,1),294(a,1))]. given #12913 (H,wt=19): 14003 a(x,T(y,y \ z),u) = a(x,u,(z \ 1) * (y \ z)). [para(114(a,2),13949(a,2,2)),flip(a)]. given #12914 (H,wt=17): 14071 a(x,T(y,y \ z),u) = a(x,(y \ z) \ z,u). [hyper(227,a,13949,a(flip),b,14003,a)]. given #12915 (H,wt=19): 14026 L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(14023(a,1),9679(a,1))]. given #12916 (H,wt=19): 14044 a(x,((y \ z) \ 1) * z,u) = a(x,u,T(y,z) \ 1). [para(655(a,2),14042(a,2,3))]. given #12917 (H,wt=17): 14072 a(x,((y \ z) \ 1) * z,u) = a(x,T(y,z),u). [hyper(227,a,13933,a(flip),b,14044,a)]. given #12918 (H,wt=15): 14073 a(x,(y \ z) \ z,u) = a(x,T(y,z),u). [hyper(13454,a,14072,a)]. given #12919 (H,wt=15): 14074 a(x,T(y,y \ z),u) = a(x,T(y,z),u). [hyper(227,a,14071,a,b,14073,a(flip)),flip(a)]. given #12920 (H,wt=15): 14075 a(x,y,T(z,y \ u)) = a(x,T(y,u),z). [hyper(227,a,13980,a(flip),b,14074,a(flip)),flip(a)]. given #12921 (H,wt=15): 14076 a(x,y,T(z,y \ u)) = a(x,y,T(z,u)). [hyper(227,a,13980,a(flip),b,14075,a)]. given #12922 (H,wt=19): 14070 L(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),w,u). [hyper(13994,a,13903,a)]. given #12923 (H,wt=19): 14077 L(a(x,y,z),u,u * (w \ 1)) = L(a(x,y,z),w,u). [hyper(13992,a,14070,a)]. given #12924 (H,wt=17): 14078 L(a(x,y,z),u,w \ u) = L(a(x,y,z),w,u). [hyper(227,a,11077,a(flip),b,14077,a(flip)),flip(a)]. given #12925 (H,wt=20): 14061 L(x,y,K(z,u / w)) != v5 | L(x,w / u,K(z,y)) = v5. [para(6016(a,1),14017(a,1,3))]. given #12926 (H,wt=20): 14062 a(x,y,K(z \ u,w)) != v5 | a(x,y,K(w,u \ z)) = v5. [para(5877(a,1),14057(a,1,3))]. given #12927 (H,wt=21): 14014 L(x,y,K(z,z \ (u \ K(y,z)))) = L(x,K(y,z),u * z). [hyper(227,a,13785,a(flip),b,14006,a(flip))]. given #12928 (H,wt=19): 14079 L(x,y,K(z,z \ (u \ 1))) = L(x,K(y,z),u * z). [para(8088(a,1),14014(a,1,3))]. given #12929 (H,wt=21): 14015 K(x,L(L(y,z,K(u,x)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(14006(a,1),7319(a,1,2,1))]. given #12930 (H,wt=21): 14018 L(x,y,T(T(z,u),y) \ (u \ 1)) = L(x,y,u \ (z \ 1)). [para(446(a,1),13976(a,2,3))]. given #12931 (H,wt=19): 14081 L(x,y,z \ (T(u,y) \ 1)) = L(x,y,z \ (u \ 1)). [para(454(a,1),14018(a,1,3))]. given #12932 (H,wt=17): 14082 L(x,T(y,z) * u,z) = L(x,z,u \ (y \ 1)). [hyper(13990,a,14081,a)]. given #12933 (H,wt=18): 14083 L(x,T(y,z) * u,z) != w | L(x,y * u,z) = w. [para(14082(a,2),13990(a,1))]. given #12934 (H,wt=21): 14035 L((x / y) / z,z,T(y,u)) = L(x / (z * y),u,K(z,y)). [para(13893(a,1),14032(a,1,1)),flip(a)]. given #12935 (H,wt=22): 13966 (((x * y) / (x * z)) * x) * z = L((x \ 1) \ y,x,x * z). [hyper(227,a,13374,a,b,13883,a(flip)),flip(a)]. given #12936 (H,wt=22): 14037 L(L(x,y,z * u),u * z,K(y,z \ 1)) = L(x,y,u * z). [para(4927(a,1),14036(a,1,1))]. given #12937 (H,wt=20): 14084 L(L(x,y,z * u),z,K(y,u * z)) = L(x,y,u * z). [hyper(14017,a,14037,a)]. given #12938 (H,wt=22): 14056 L(L(x,y \ 1,z),y \ z,K(z,u)) = L(x,y \ 1,T(z,u)). [hyper(227,a,13868,a(flip),b,14045,a(flip))]. given #12939 (H,wt=23): 14069 L(x * a(y,z,u),y,K(u,z)) != x * w | T(a(y,z,u),x) = w. [para(14066(a,2),167(a,2)),flip(a)]. given #12940 (H,wt=24): 13986 L(((x / y) / z) / u,u,T(z,y)) = (x / T(y,z)) / (u * T(z,y)). [para(6629(a,1),13893(a,1,1,1))]. given #12941 (H,wt=24): 14085 L((x / y) / (z * u),y,K(z,u)) = (x / T(y,u)) / (z * T(u,y)). [hyper(227,a,14035,a(flip),b,13986,a(flip)),flip(a)]. given #12942 (H,wt=25): 13967 L(x,y * z,u \ (z \ (y \ 1))) = L(x,y * z,(y * z) * (u \ 1)). [hyper(227,a,11676,a(flip),b,13883,a(flip)),flip(a)]. given #12943 (H,wt=23): 14086 L(x,y * z,u \ (z \ (y \ 1))) = L(x,y * z,u \ (y * z)). [hyper(227,a,11077,a(flip),b,13967,a)]. given #12944 (H,wt=25): 14000 ((x * y) / a(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,z,u)). [para(13937(a,1),781(a,2,2))]. given #12945 (H,wt=25): 14030 (((x * y) / (x * z)) * x) * z != u | L((x \ 1) \ y,x,x * z) = u. [para(13374(a,2),13992(a,1))]. given #12946 (H,wt=25): 14031 L(L(x,y \ 1,z),z / y,K(z,u)) != w | L(x,y \ 1,T(z,u)) = w. [para(13867(a,2),13999(a,1))]. given #12947 (H,wt=25): 14088 ((x * y) * a(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,u,z)). [para(13927(a,1),14000(a,1,1))]. given #12948 (H,wt=23): 14090 (x * L(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,u,z)). [para(13937(a,1),14088(a,1,1))]. given #12949 (H,wt=23): 14091 (x * L(y,z,u)) * (y \ (x \ 1)) = (x * y) / (x * L(y,u,z)). [para(123(a,1),14090(a,1,2))]. given #12950 (H,wt=25): 14089 L(L(x,y \ 1,z),y \ z,K(z,u)) != w | L(x,y \ 1,T(z,u)) = w. [para(14045(a,1),14031(a,1))]. given #12951 (H,wt=26): 13942 L(T(a(x,y,z),x \ (u \ 1)),x,u) = (u * L(x,y,z)) * (x \ (u \ 1)). [para(13924(a,2),2371(a,1,1,2)),flip(a)]. given #12952 (H,wt=26): 13981 (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,y / x,x \ 1). [para(3379(a,1),13884(a,2,1)),flip(a)]. given #12953 (H,wt=24): 14093 (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,x,y / x). [hyper(227,a,13878,a(flip),b,13981,a)]. given #12954 (H,wt=24): 14094 (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,x,x * y). [hyper(227,a,13965,a(flip),b,14093,a)]. given #12955 (H,wt=26): 13989 L(x,L(y,z,u),z * u) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). [para(13898(a,1),13898(a,1,2))]. given #12956 (H,wt=26): 14054 (x * (y \ (y \ x))) * ((x \ y) * ((y / x) * z)) = L(z,x \ y,x \ y). [hyper(227,a,11165,a,b,14041,a(flip)),flip(a)]. given #12957 (H,wt=26): 14092 L(a(x,y,T(z,x \ (u \ 1))),x,u) = (u * L(x,y,z)) * (x \ (u \ 1)). [para(13970(a,2),13942(a,1,1))]. given #12958 (H,wt=23): 14096 (x * L(y,z,u)) * (y \ (x \ 1)) = a(y,z,T(u,y \ (x \ 1))). [hyper(227,a,14046,a(flip),b,14092,a(flip))]. given #12959 (H,wt=21): 14098 (x * L(y,z,u)) * (y \ (x \ 1)) = a(y,z,T(u,x \ 1)). [hyper(227,a,14052,a(flip),b,14096,a)]. given #12960 (H,wt=19): 14099 (x * y) / (x * L(y,z,u)) = a(y,u,T(z,x \ 1)). [hyper(227,a,14091,a(flip),b,14098,a(flip)),flip(a)]. given #12961 (H,wt=30): 13828 R(x,y * (1 / (z * y)),u \ 1) = u \ ((u * (1 / (z / x))) / (x * (1 / (z * x)))). [para(13161(a,2),13826(a,1,2)),flip(a)]. given #12962 (H,wt=22): 14101 R(x,y * (1 / (z * y)),u \ 1) = u \ (z \ ((z * u) * x)). [para(13110(a,1),13828(a,2,2))]. given #12963 (H,wt=25): 14102 R(x,y * (1 / (z * y)),u \ 1) != w | ((x / (z * u)) * z) * u = w. [para(14101(a,2),13370(a,1))]. given #12964 (H,wt=22): 14103 L(x,(y * (1 / (z * y))) \ 1,u) = ((x / (z * u)) * z) * u. [hyper(14102,a,13857,a),flip(a)]. given #12965 (H,wt=22): 14104 L(x,(1 / (y * z)) \ (z \ 1),u) = ((x / (y * u)) * y) * u. [para(123(a,1),14103(a,1,2))]. given #12966 (H,wt=20): 14105 L(x,K(y,y \ 1) * z,u) = ((x / (z * u)) * z) * u. [para(3650(a,1),14104(a,1,2))]. given #12967 (H,wt=14): 14106 L(x,y,z) = ((x / (y * z)) * y) * z. [hyper(10708,a,14105,a)]. given #12968 (H,wt=16): 14108 L(x,y,z) = ((x / (z * y)) * y) * T(z,y). [hyper(10758,a,14106,a(flip)),flip(a)]. given #12969 (H,wt=17): 14107 L((x \ 1) \ y,x,x * z) = L(x * y,x,z). [hyper(227,a,13966,a(flip),b,14106,a),flip(a)]. given #12970 (H,wt=17): 14111 L(x / (y * z),z,y) = L(x,z,y) / (y * z). [hyper(73,a,14108,a,b,13899,a),flip(a)]. given #12971 (H,wt=14): 14113 L(x / (y * z),z,y) = (x / z) / y. [hyper(227,a,10848,a(flip),b,14111,a)]. given #12972 (H,wt=17): 14114 L(x / (y * z),z,y) != u | (x / z) / y = u. [para(14111(a,2),10852(a,1))]. given #12973 (H,wt=18): 14109 ((x \ (1 / (y * z))) * y) * z = L(x \ 1,y,z). [para(318(a,1),14106(a,2,1,1)),flip(a)]. given #12974 (H,wt=18): 14115 L(x / (y * z),T(y,z),z) = (x / T(y,z)) / z. [para(113(a,1),14113(a,1,1,2))]. given #12975 (H,wt=16): 14117 L(x / (y * z),y,z) = (x / T(y,z)) / z. [hyper(11102,a,14115,a)]. given #12976 (H,wt=20): 14112 (x * (y * (1 / x))) / (z \ (y / x)) = L(x * z,x,y). [hyper(227,a,14094,a,b,14107,a(flip)),flip(a)]. given #12977 (H,wt=22): 14119 T(x \ 1,y \ 1) \ ((y * (x \ 1)) * z) = L(y * z,y,x). [hyper(227,a,4916,a,b,14112,a(flip)),flip(a)]. given #12978 (H,wt=20): 14120 T(x,y \ 1) \ ((y * x) * z) = L(y * z,y,x \ 1). [hyper(227,a,12774,a(flip),b,14119,a(flip)),flip(a)]. given #12979 (H,wt=18): 14121 T(x,y \ 1) \ ((y * x) * z) = L(y * z,x,y). [hyper(227,a,13878,a(flip),b,14120,a)]. given #12980 (H,wt=24): 14118 L(x * ((y / (z * u)) / x),z,u) = x * (((y / T(z,u)) / u) / x). [para(14117(a,1),9619(a,2,2,1))]. given #12981 (H,wt=26): 14110 L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,1 / (y * z)) * y) * z. [para(1206(a,1),14106(a,2,1,1))]. given #12982 (H,wt=26): 14122 L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,(y * z) \ 1) * y) * z. [para(1539(a,1),14110(a,2,1,1))]. given #12983 (H,wt=26): 14123 L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,z \ (y \ 1)) * y) * z. [para(123(a,1),14122(a,2,1,1,2))]. given #12984 (H,wt=22): 14124 (T(x,y \ (z \ 1)) * z) * y = L((1 / (z * y)) \ x,z,y). [para(250(a,1),14123(a,1,1)),flip(a)]. given #12985 (H,wt=29): 14116 ((x \ (1 / (y * z))) * (y * z)) \ L(x \ 1,y,z) = a(x \ (1 / (y * z)),y,z). [hyper(72,a,14109,a(flip),b,89,a)]. given #12986 (H,wt=21): 14125 a(x \ (1 / (y * z)),y,z) = (x \ 1) \ L(x \ 1,y,z). [para(259(a,1),14116(a,1,1)),flip(a)]. given #12987 (H,wt=15): 14126 a(x \ (1 / (y * z)),y,z) = a(x,z,y). [hyper(227,a,13438,a,b,14125,a)]. given #12988 (H,wt=15): 14128 a(x,y,z \ (1 / (x * y))) = a(z,y,x). [hyper(13950,a,14126,a)]. given #12989 (H,wt=13): 14129 a(x,(x * y) * z,y) = a(z,y,x). [hyper(227,a,14043,a(flip),b,14128,a(flip)),flip(a)]. given #12990 (H,wt=33): 13836 ((x \ ((y / x) \ z)) \ 1) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (z \ (y * (y / x))) * x. [para(13818(a,1),12646(a,1,1))]. given #12991 (H,wt=31): 14130 ((x \ ((y / x) \ z)) \ 1) * (z * ((x \ ((y / x) \ z)) \ 1)) = (z \ (y * (y / x))) * x. [para(13818(a,1),13836(a,1,2,2))]. given #12992 (H,wt=27): 14131 (x \ ((y / x) \ z)) \ (z / (x \ ((y / x) \ z))) = (z \ (y * (y / x))) * x. [hyper(1418,a,14130,a)]. given #12993 (H,wt=27): 14132 (((x / y) \ z) \ y) * (z * (((x / y) \ z) \ y)) = (z \ (x * (x / y))) * y. [hyper(227,a,11630,a(flip),b,14131,a(flip)),flip(a)]. given #12994 (H,wt=23): 14133 (x \ (y / z)) * (z * ((y / z) * z)) = (x \ (y * (y / z))) * z. [hyper(227,a,13188,a(flip),b,14132,a(flip)),flip(a)]. given #12995 (H,wt=19): 14134 (x \ (y * (y / z))) * z = (x \ (y / z)) * (z * y). [para(16(a,1),14133(a,1,2,2)),flip(a)]. given #12996 (H,wt=33): 14087 L(a(x,y,z),x * (y * z),u \ (x * (y * z))) = u / (((x * y) * z) \ ((x * (y * z)) * u)). [hyper(227,a,5733,a(flip),b,14086,a(flip))]. given #12997 (H,wt=27): 14135 x / (((y * z) * u) \ ((y * (z * u)) * x)) = L(a(y,z,u),x,y * (z * u)). [hyper(227,a,14078,a(flip),b,14087,a(flip))]. given #12998 (H,wt=35): 13805 T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 / K(y,y \ K(z,u))) * w) \ x. [hyper(227,a,13721,a(flip),b,13803,a(flip)),flip(a)]. given #12999 (H,wt=35): 14137 T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 * K(y \ K(z,u),y)) * w) \ x. [para(6497(a,1),13805(a,2,1,1))]. given #13000 (H,wt=35): 14138 T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 * K(y,y \ K(z,u))) * w) \ x. [para(8583(a,1),14137(a,2,1,1,2))]. given #13001 (H,wt=33): 14139 T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = (K(y,y \ K(z,u)) * w) \ x. [para(11(a,1),14138(a,2,1,1))]. given #13002 (H,wt=25): 14140 T(x,y) * (y \ K(z,z \ K(u,w))) = (K(z,z \ K(u,w)) * y) \ x. [para(13586(a,1),14139(a,1,1))]. given #13003 (H,wt=23): 14141 (K(x,x \ K(y,z)) * u) \ w = (u \ w) * K(x,x \ K(y,z)). [hyper(13731,a,14140,a),flip(a)]. given #13004 (H,wt=38): 13669 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) != v6 | L(L(v5,w,u),u * w,K(x,K(y,z))) = v6. [para(13651(a,1),1158(a,1,2))]. given #13005 (H,wt=40): 14100 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),K(u,w),T(z,x \ 1)). [para(14085(a,1),14099(a,1,2,2))]. given #13006 (H,wt=40): 14143 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(T(z,x \ 1),w)). [hyper(227,a,13971,a(flip),b,14100,a)]. given #13007 (H,wt=38): 14144 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(z,T(w,x))). [para(7540(a,1),14143(a,2,3))]. given #13008 (H,wt=36): 14145 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(z,w)). [hyper(227,a,13635,a(flip),b,14144,a)]. given #13009 (H,wt=36): 14146 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K((y / z) / (u * w),w)). [hyper(227,a,13931,a,b,14145,a)]. given #13010 (H,wt=36): 14148 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K(w \ ((y / z) / u),w)). [para(11042(a,1),14146(a,2,3))]. given #13011 (H,wt=34): 14149 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K((y / z) / u,w)). [hyper(227,a,11432,a(flip),b,14148,a)]. given #13012 (H,wt=34): 14150 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K(u \ (y / z),w)). [hyper(227,a,13640,a(flip),b,14149,a)]. given #13013 (H,wt=32): 14151 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,y / z)). [hyper(227,a,13972,a(flip),b,14150,a)]. given #13014 (H,wt=32): 14152 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,z \ y)). [hyper(227,a,13639,a(flip),b,14151,a)]. given #13015 (H,wt=30): 14153 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,y)). [hyper(227,a,11441,a(flip),b,14152,a)]. given #13016 (H,wt=46): 13535 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13525(a,1),465(a,2,3))]. given #13017 (H,wt=39): 14154 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13652(a,1),13535(a,1,2,2,1))]. given #13018 (H,wt=39): 14155 (K(x,K(y,z)) * (u * w)) \ (u * ((w * v5) * K(x,K(y,z)))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13603(a,1),14154(a,1,2))]. given #13019 (H,wt=39): 14156 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13606(a,1),14155(a,1,2,2))]. given #13020 (H,wt=32): 14157 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,u * K(x,K(y,z))). [para(13652(a,1),14156(a,2,2))]. given #13021 (H,wt=24): 14158 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,y,z * K(u,K(w,v5))). [hyper(13669,a,14157,a)]. given #13022 (H,wt=15): 14159 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(227,a,13652,a(flip),b,14158,a(flip))]. given #13023 (H,wt=17): 14161 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(7686(a,1),14159(a,1,3)),flip(a)]. given #13024 (H,wt=17): 14162 L(x,y / z,K(u,w)) = L(x,w,K(u,y \ z)). [hyper(14061,a,14161,a)]. given #13025 (H,wt=15): 14163 L(x,y,K(z,u \ y)) = L(x,y,K(u,z)). [hyper(227,a,14055,a(flip),b,14162,a(flip))]. given #13026 (H,wt=15): 14164 L(x,y \ z,K(z,u)) = L(x,z,K(y,u)). [hyper(14065,a,14163,a)]. given #13027 (H,wt=20): 14165 L(L(x,y \ 1,z),z,K(y,u)) = L(x,y \ 1,T(z,u)). [hyper(14089,a,14164,a),flip(a)]. given #13028 (H,wt=18): 14167 L(L(x,y,z),y,K(z,u)) = L(x,z \ 1,T(y,u)). [para(13885(a,1),14165(a,1,1))]. given #13029 (H,wt=15): 14168 L(x,y \ 1,T(z,u)) = L(x,z,T(y,u)). [hyper(14026,a,14167,a),flip(a)]. given #13030 (H,wt=13): 14169 L(x,T(y,z),u) = L(x,y,T(u,z)). [hyper(13995,a,14168,a)]. given #13031 (H,wt=15): 14171 L(x,T(y,z),z * u) = L(x,y,u * z). [hyper(227,a,12077,a(flip),b,14169,a)]. given #13032 (H,wt=15): 14173 L(K(x,y),T(y,z),u) != w | K(x,y) = w. [para(14169(a,2),6309(a,1))]. given #13033 (H,wt=15): 14174 L(K(x,y),z,T(x,u)) != w | K(x,y) = w. [para(14169(a,1),7303(a,1))]. given #13034 (H,wt=15): 14177 L(K(x,y),z,T(y,u)) != w | K(x,y) = w. [para(13878(a,1),14173(a,1))]. given #13035 (H,wt=16): 14170 L(x,y,T(z,u)) != w | L(x,T(y,u),z) = w. [para(14168(a,1),13995(a,1))]. given #13036 (H,wt=17): 14175 L(K(x,T(y,z)),y,u) != w | K(x,T(y,z)) = w. [para(2496(a,1),14173(a,1,2))]. given #13037 (H,wt=21): 14176 (x * T(y,z)) \ (x * R(y,z,y)) != u | K(y * z,y) = u. [para(5426(a,2),14173(a,1))]. given #13038 (H,wt=22): 14178 K((x * y) \ (x * z),T(z,u)) != w | K(y \ z,T(z,u)) = w. [para(7233(a,1),14175(a,1))]. given #13039 (H,wt=47): 14136 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (((T(x,(y * z) \ 1) * y) * z) \ (((1 / (y * z)) \ x) * u)). [para(1537(a,1),14135(a,1,2,2,1)),flip(a)]. given #13040 (H,wt=47): 14179 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (((T(x,z \ (y \ 1)) * y) * z) \ (((1 / (y * z)) \ x) * u)). [para(123(a,1),14136(a,2,2,1,1,1,2))]. given #13041 (H,wt=46): 14180 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (L((1 / (y * z)) \ x,y,z) \ (((1 / (y * z)) \ x) * u)). [para(14124(a,1),14179(a,2,2,1))]. given #13042 (H,wt=38): 14181 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a((1 / (y * z)) \ x,z,y) * u). [para(13435(a,1),14180(a,2,2))]. given #13043 (H,wt=38): 14182 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(y,(1 / (y * z)) \ x,z) * u). [para(13925(a,1),14181(a,2,2,1))]. given #13044 (H,wt=36): 14183 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(y,(y * z) * x,z) * u). [para(12624(a,1),14182(a,2,2,1))]. given #13045 (H,wt=32): 14184 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(x,z,y) * u). [para(14129(a,1),14183(a,2,2,1))]. given #13046 (H,wt=32): 14185 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u \ (u / a(x,z,y)). [hyper(227,a,944,a(flip),b,14184,a)]. given #13047 (H,wt=32): 14186 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u \ (u * a(x,y,z)). [para(13927(a,1),14185(a,2,2))]. given #13048 (H,wt=28): 14187 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = a(x,y,z). [hyper(227,a,13,a(flip),b,14186,a)]. given #13049 (H,wt=28): 14189 L(a(T(x,y \ (z \ 1)),z,y),u,T(x,(z * y) \ 1) * (z * y)) = a(x,z,y). [para(123(a,1),14187(a,1,1,1,2))]. given #13050 (H,wt=28): 14190 L(a(x,y,T(z,y \ (x \ 1))),u,T(z,(x * y) \ 1) * (x * y)) = a(z,x,y). [para(13925(a,2),14189(a,1,1))]. given #13051 (H,wt=26): 14191 L(a(x,y,T(z,x \ 1)),u,T(z,(x * y) \ 1) * (x * y)) = a(z,x,y). [para(14076(a,1),14190(a,1,1))]. given #13052 (H,wt=24): 14192 L(a(x,y,T(z,1)),u,T(y,(z * x) \ 1) * (z * x)) = a(y,z,x). [para(14051(a,1),14191(a,1,1))]. given #13053 (H,wt=22): 14193 L(a(x,y,z),u,T(y,(z * x) \ 1) * (z * x)) = a(y,z,x). [para(144(a,1),14192(a,1,1,3))]. given #13054 (H,wt=22): 14194 L(a(x,y,z),u,T(x,(y * z) \ 1) * (y * z)) = a(x,y,z). [para(13925(a,2),14193(a,1,1))]. given #13055 (H,wt=18): 14195 L(a(x,y,z),u,(1 / (y * z)) \ x) = a(x,y,z). [para(1537(a,1),14194(a,1,3))]. given #13056 (H,wt=16): 14196 L(a(x,y,z),u,(y * z) * x) = a(x,y,z). [hyper(227,a,12085,a(flip),b,14195,a(flip)),flip(a)]. given #13057 (H,wt=16): 14197 L(a(x,y,z),u,x * (y * z)) = a(x,y,z). [hyper(227,a,14171,a(flip),b,14196,a(flip)),flip(a)]. given #13058 (H,wt=49): 13726 ((((K(x,x \ K(y,z)) \ 1) \ 1) \ u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). [para(13721(a,2),12658(a,2,2))]. given #13059 (H,wt=45): 14198 ((K(x,x \ K(y,z)) \ u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). [para(3267(a,1),13726(a,1,1,1,1))]. given #13060 (H,wt=45): 14199 ((K(x \ K(y,z),x) * u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). [para(6443(a,1),14198(a,1,1,1))]. given #13061 (H,wt=45): 14200 ((K(x,x \ K(y,z)) * u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). [para(8583(a,1),14199(a,1,1,1,1))]. given #13062 (H,wt=45): 14201 ((x \ y) * K(z,z \ K(u,w))) * ((x \ 1) * K(z,z \ K(u,w))) = (x \ K(z,z \ K(u,w))) * ((x / y) \ K(z,z \ K(u,w))). [para(14141(a,1),14200(a,1,1))]. given #13063 (H,wt=43): 14202 ((x \ y) * K(z,z \ K(u,w))) * (x \ K(z,z \ K(u,w))) = (x \ K(z,z \ K(u,w))) * ((x / y) \ K(z,z \ K(u,w))). [para(6514(a,1),14201(a,1,2))]. given #13064 (H,wt=43): 14203 (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (K(y,y \ K(z,u)) * (x \ K(y,y \ K(z,u)))). [hyper(227,a,13730,a(flip),b,14202,a(flip))]. given #13065 (H,wt=39): 14204 (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (K(y,K(z,u)) * (x \ K(y,K(z,u)))). [para(13716(a,1),14203(a,2,2))]. given #13066 (H,wt=29): 14205 (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (x \ 1). [hyper(227,a,13580,a(flip),b,14204,a)]. given #13067 (H,wt=27): 14207 (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = x \ (w / x). [hyper(227,a,1257,a(flip),b,14205,a)]. given #13068 (H,wt=27): 14208 (x \ K(y,y \ K(z,u))) * (w * (x \ K(y,y \ K(z,u)))) = x \ (w / x). [para(13721(a,1),14207(a,1,2))]. given #13069 (H,wt=50): 14095 (x * ((1 / (x / y)) \ ((1 / (x / y)) \ x))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(3436(a,2),14054(a,1,2,1))]. given #13070 (H,wt=48): 14209 (x * ((1 / (x / y)) \ (x / (x \ y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(796(a,1),14095(a,1,1,2,2))]. given #13071 (H,wt=46): 14210 (x * ((x / y) / (x \ (y / x)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(1274(a,1),14209(a,1,1,2))]. given #13072 (H,wt=46): 14211 (x * (x / (x \ ((y / x) * y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(1881(a,1),14210(a,1,1,2))]. given #13073 (H,wt=46): 14212 (x * (x / ((x \ y) * (x \ y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(3989(a,1),14211(a,1,1,2,2))]. given #13074 (H,wt=46): 14213 (x * (x * (y \ ((y / x) \ x)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(13016(a,1),14212(a,1,1,2))]. given #13075 (H,wt=46): 14214 (x * (x * (y \ ((y / x) \ x)))) * ((x \ (1 / (x / y))) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(3436(a,1),14213(a,1,2,1))]. given #13076 (H,wt=46): 14215 (x * (x * (y \ ((y / x) \ x)))) * ((x \ (1 / (x / y))) * ((1 / (x * (x / y))) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(325(a,1),14214(a,1,2,2,1))]. given #13077 (H,wt=46): 14216 (x * (x / y)) * (((x \ y) / x) \ ((x \ (1 / (x / y))) * ((1 / (x * (x / y))) * z))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [hyper(227,a,13018,a(flip),b,14215,a(flip)),flip(a)]. given #13078 (H,wt=38): 14217 (x * (x / y)) * (K(y,y \ 1) * ((1 / (x * (x / y))) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(13094(a,1),14216(a,1,2))]. given #13079 (H,wt=36): 14218 (x * (x / y)) * (K(y,y \ 1) / (z \ (x * (x / y)))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(6534(a,1),14217(a,1,2))]. given #13080 (H,wt=36): 14220 (x * (x / y)) * (y * (1 / ((z \ (x * (x / y))) * y))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [hyper(227,a,3666,a(flip),b,14218,a(flip)),flip(a)]. given #13081 (H,wt=36): 14221 (x * (x / y)) * (y * (1 / ((z \ (x / y)) * (y * x)))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(14134(a,1),14220(a,1,2,2,2))]. given #13082 (H,wt=34): 14222 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(13464(a,1),14221(a,1,2,2))]. given #13083 (H,wt=32): 14223 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (1 / (x / y)),(x \ y) / x). [hyper(227,a,4639,a(flip),b,14222,a)]. given #13084 (H,wt=30): 14224 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,(x \ y) / x,(x \ y) / x). [hyper(227,a,10713,a(flip),b,14223,a)]. given #13085 (H,wt=30): 14225 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (x \ y),x \ (x \ y)). [hyper(227,a,9809,a(flip),b,14224,a)]. given #13086 (H,wt=30): 14226 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x * (y \ x),x * (y \ x)). [hyper(227,a,12231,a(flip),b,14225,a)]. given #13087 (H,wt=29): 14227 (x * (x / y)) * (((x * x) / y) \ L(z,y,y)) = L(z,x * (y \ x),x * (y \ x)). [para(9319(a,1),14226(a,1,2))]. given #13088 (H,wt=29): 14228 (x * (x / y)) * ((x * (x / y)) \ L(z,y,y)) = L(z,x * (y \ x),x * (y \ x)). [para(922(a,1),14227(a,1,2,1))]. given #13089 (H,wt=17): 14229 L(x,y * (z \ y),y * (z \ y)) = L(x,z,z). [hyper(205,a,14228,a)]. given #13090 (H,wt=25): 14231 L(x,(y * z) * u,(y * z) * u) = L(x,z * (y \ u),z * (y \ u)). [hyper(227,a,12237,a(flip),b,14229,a(flip))]. given #13091 (H,wt=29): 14233 L(x,y \ (z \ (u \ 1)),y \ (z \ (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). [hyper(227,a,10354,a,b,14231,a(flip)),flip(a)]. given #13092 (H,wt=29): 14234 L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,(y \ z) \ u,(y \ z) \ u). [hyper(227,a,10034,a(flip),b,14231,a(flip))]. given #13093 (H,wt=29): 14235 L(x,y * (z / (u \ 1)),y * (z / (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). [hyper(12236,a,14233,a)]. given #13094 (H,wt=29): 14236 L(x,y * ((1 / z) \ u),y * (z / (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). [para(317(a,1),14235(a,1,2,2))]. given #13095 (H,wt=29): 14237 L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,z * (u \ y),z * (u \ y)). [para(317(a,1),14236(a,1,3,2))]. given #13096 (H,wt=25): 14238 L(x,(y \ z) \ u,(y \ z) \ u) = L(x,z * (u \ y),z * (u \ y)). [hyper(227,a,14234,a(flip),b,14237,a(flip)),flip(a)]. given #13097 (H,wt=21): 14239 L(x,1 * (y \ z),1 * (y \ z)) = L(x,z * y,z * y). [hyper(9835,a,14238,a),flip(a)]. given #13098 (H,wt=19): 14240 L(x,y \ z,1 * (y \ z)) = L(x,z * y,z * y). [para(11(a,1),14239(a,1,2))]. given #13099 (H,wt=17): 14241 L(x,y \ z,y \ z) = L(x,z * y,z * y). [para(11(a,1),14240(a,1,3))]. given #13100 (H,wt=20): 14243 ((1 / x) * y) * ((y \ x) * z) = L(z,y * x,y * x). [hyper(227,a,9403,a,b,14241,a(flip)),flip(a)]. given #13101 (H,wt=21): 14242 L(x,y * (1 / z),y * (z \ 1)) = L(x,y * z,y * z). [hyper(227,a,12232,a,b,14241,a(flip)),flip(a)]. given #13102 (H,wt=28): 14245 (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * x,y * x) = (x * y) * z. [para(14242(a,1),10767(a,1,2))]. given #13103 (H,wt=27): 14246 x / (((y * x) * (((1 / x) \ (y \ 1)) \ (x * z))) \ (y * x)) = (x * y) * z. [hyper(1663,a,14245,a)]. given #13104 (H,wt=27): 14247 x / ((y * x) \ ((y * x) / ((y * (1 / x)) / (1 / (x * z))))) = (x * y) * z. [para(1769(a,1),14246(a,1,2))]. given #13105 (H,wt=25): 14248 x / ((y * x) \ ((y * x) / ((y / (x * (1 / z))) * x))) = (x * y) * z. [para(9876(a,1),14247(a,1,2,2,2))]. given #13106 (H,wt=36): 14244 x * (1 / (L((x \ 1) \ 1,y * z,y * z) * x)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(14243(a,1),11767(a,1,2,2,1))]. given #13107 (H,wt=35): 14249 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / ((((x * z) * (y \ 1)) \ (x * z)) * y)). [para(1301(a,1),14244(a,1,2,2,1)),flip(a)]. given #13108 (H,wt=35): 14250 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / (((x * z) * ((y \ (x * z)) \ 1)) * y)). [para(1220(a,1),14249(a,2,2,2,1))]. given #13109 (H,wt=33): 14251 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / (((x * z) / y) \ ((x * z) * y))). [para(9763(a,1),14250(a,2,2,2))]. given #13110 (H,wt=33): 14252 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * ((1 / ((x * z) * y)) * ((x * z) / y)). [para(313(a,1),14251(a,2,2))]. given #13111 (H,wt=31): 14253 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (y \ ((x * z) \ ((x * z) / y))). [para(13153(a,1),14252(a,2,2))]. given #13112 (H,wt=27): 14254 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = (x * z) \ ((x * z) / y). [hyper(227,a,14,a(flip),b,14253,a)]. given #13113 (H,wt=27): 14256 (((x \ 1) \ (y \ z)) * x) \ ((x \ 1) \ (y \ z)) = (y * z) \ ((y * z) / x). [para(2189(a,1),14254(a,1,1))]. given #13114 (H,wt=23): 14257 ((x * (y \ z)) * x) \ (x * (y \ z)) = (y * z) \ ((y * z) / x). [hyper(9840,a,14256,a)]. given #13115 (H,wt=19): 14258 (x \ y) \ ((x \ y) / z) = (x * y) \ ((x * y) / z). [hyper(1001,a,14257,a)]. given #13116 (H,wt=56): 13747 ((x \ 1) * (1 / ((y * z) * (T(x,u) \ 1)))) \ (T(T(x,u) \ 1,u \ 1) * (1 / (z * (T(x,u) \ 1)))) = L(y,z,K(T(x,u) \ 1,(u \ 1) \ ((T(x,u) \ 1) \ 1))). [para(1570(a,1),13738(a,1,1,1))]. given #13117 (H,wt=52): 14259 ((x \ 1) * (T(x,y) / (z * u))) \ (T(T(x,y) \ 1,y \ 1) * (1 / (u * (T(x,y) \ 1)))) = L(z,u,K(T(x,y) \ 1,(y \ 1) \ ((T(x,y) \ 1) \ 1))). [para(263(a,1),13747(a,1,1,2))]. given #13118 (H,wt=46): 14260 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((z \ 1) * (T(z,u) / (x * y))) \ ((z \ 1) * (1 / (y * (T(z,u) \ 1)))). [para(1570(a,1),14259(a,1,2,1)),flip(a)]. given #13119 (H,wt=42): 14261 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((z \ 1) * (T(z,u) / (x * y))) \ ((z \ 1) * (T(z,u) / y)). [para(263(a,1),14260(a,2,2,2))]. given #13120 (H,wt=38): 14263 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((T(z,u) / (x * y)) \ z) / ((T(z,u) / y) \ z). [hyper(227,a,4595,a(flip),b,14261,a)]. given #13121 (H,wt=36): 14264 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((x * y) * K(u,z)) / ((T(z,u) / y) \ z). [para(6691(a,1),14263(a,2,1))]. given #13122 (H,wt=34): 14265 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((x * y) * K(u,z)) / (y * K(u,z)). [para(6691(a,1),14264(a,2,2))]. given #13123 (H,wt=27): 14266 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = R(x,y,K(u,z)). [hyper(227,a,30,a,b,14265,a)]. given #13124 (H,wt=27): 14267 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = L(x,y,K(u,z)). [hyper(227,a,13890,a,b,14266,a)]. given #13125 (H,wt=27): 14268 L(x,y,K(T(z,u) \ 1,(u \ 1) \ T((z \ 1) \ 1,u))) = L(x,y,K(u,z)). [para(1601(a,1),14267(a,1,3,2,2))]. given #13126 (H,wt=25): 14269 L(x,y,K(T(z,u) \ 1,((z \ 1) \ 1) / (1 / u))) = L(x,y,K(u,z)). [para(1423(a,1),14268(a,1,3,2))]. given #13127 (H,wt=25): 14270 L(x,y,K(T(z,u) \ 1,(z \ 1) \ (1 / (1 / u)))) = L(x,y,K(u,z)). [para(318(a,1),14269(a,1,3,2))]. given #13128 (H,wt=21): 14271 L(x,y,K(T(z,u) \ 1,(z \ 1) \ u)) = L(x,y,K(u,z)). [para(8349(a,1),14270(a,1,3))]. given #13129 (H,wt=19): 14272 L(x,y,K(T(z,u) \ 1,z * u)) = L(x,y,K(u,z)). [para(6026(a,1),14271(a,1,3))]. given #13130 (H,wt=19): 14273 L(x,y,K(T(z,u),(z * u) \ 1)) = L(x,y,K(u,z)). [para(5378(a,1),14272(a,1,3))]. given #13131 (H,wt=19): 14274 L(x,y,K(T(z,u),u \ (z \ 1))) = L(x,y,K(u,z)). [para(123(a,1),14273(a,1,3,2))]. given #13132 (H,wt=17): 14275 L(x,y,K(z,(z \ 1) / u)) = L(x,y,K(u,z)). [para(7544(a,1),14274(a,1,3))]. given #13133 (H,wt=17): 14276 L(x,y,K(z,z \ (u \ 1))) = L(x,y,K(u,z)). [para(8326(a,1),14275(a,1,3))]. given #13134 (H,wt=15): 14277 L(x,K(y,z),u * z) = L(x,y,K(u,z)). [hyper(227,a,14079,a(flip),b,14276,a(flip)),flip(a)]. given #13135 (H,wt=15): 14278 L(x,y,K(z,u * y)) = L(x,z,K(u,y)). [hyper(14067,a,14277,a)]. given #13136 (H,wt=18): 14279 L(L(x,y,z * u),y,K(u,z)) = L(x,y,u * z). [hyper(227,a,14084,a(flip),b,14278,a(flip))]. given #13137 (H,wt=18): 14280 L(L(x,y,z * u),z,K(y,u)) = L(x,y,u * z). [hyper(14065,a,14279,a)]. given #13138 (H,wt=18): 14281 L(L(x,y,K(z,u)),z,y * u) = L(x,z,u * y). [hyper(227,a,45,a,b,14280,a(flip)),flip(a)]. given #13139 (H,wt=18): 14282 L(L(x,y,K(z,u)),u,z * y) = L(x,u,y * z). [para(14005(a,1),14281(a,1,1))]. given #13140 (H,wt=57): 13725 ((((K(x,x \ K(y,z)) \ 1) \ 1) \ (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). [para(13721(a,1),12658(a,2,1))]. given #13141 (H,wt=53): 14283 ((K(x,x \ K(y,z)) \ (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). [para(3267(a,1),13725(a,1,1,1,1))]. given #13142 (H,wt=53): 14284 ((K(x \ K(y,z),x) * (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). [para(6443(a,1),14283(a,1,1,1))]. given #13143 (H,wt=53): 14285 ((K(x,x \ K(y,z)) * (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). [para(8583(a,1),14284(a,1,1,1,1))]. given #13144 (H,wt=53): 14286 (((x / y) \ z) * K(u,u \ K(w,v5))) * (((x / y) \ 1) * K(u,u \ K(w,v5))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [para(14141(a,1),14285(a,1,1))]. given #13145 (H,wt=53): 14287 (((x / y) \ z) * K(u,u \ K(w,v5))) * ((y * (x \ 1)) * K(u,u \ K(w,v5))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [para(125(a,1),14286(a,1,2,1))]. given #13146 (H,wt=53): 14288 (((x / y) \ z) * K(u,u \ K(w,v5))) * (y * ((x \ 1) * K(u,u \ K(w,v5)))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [para(13729(a,1),14287(a,1,2))]. given #13147 (H,wt=51): 14289 (((x / y) \ z) * K(u,u \ K(w,v5))) * (y * (x \ K(u,u \ K(w,v5)))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [para(6514(a,1),14288(a,1,2,2))]. given #13148 (H,wt=51): 14290 ((x / y) \ z) * (K(u,u \ K(w,v5)) * (y * (x \ K(u,u \ K(w,v5))))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [hyper(227,a,13730,a(flip),b,14289,a(flip)),flip(a)]. given #13149 (H,wt=37): 14291 (x * (y \ K(z,z \ K(u,w)))) * (v5 * ((y / x) \ K(z,z \ K(u,w)))) = ((y / x) \ v5) * (x * (y \ 1)). [para(13727(a,1),14290(a,1,2)),flip(a)]. given #13150 (H,wt=35): 14292 (x * (y \ K(z,z \ K(u,w)))) * (v5 * ((y / x) \ K(z,z \ K(u,w)))) = (x / y) * (v5 * (x / y)). [hyper(227,a,10052,a(flip),b,14291,a)]. given #13151 (H,wt=35): 14294 (x * (y \ K(z,z \ K(u,w)))) * (v5 * (x * (y \ K(z,z \ K(u,w))))) = (x / y) * (v5 * (x / y)). [para(13721(a,1),14292(a,1,2,2))]. given #13152 (H,wt=35): 14295 x * ((y \ K(z,z \ K(u,w))) * ((v5 * x) * (y \ K(z,z \ K(u,w))))) = (x / y) * (v5 * (x / y)). [hyper(227,a,12578,a(flip),b,14294,a(flip)),flip(a)]. given #13153 (H,wt=19): 14296 (x / y) * (z * (x / y)) = x * (y \ ((z * x) / y)). [para(14208(a,1),14295(a,1,2)),flip(a)]. given #13154 (H,wt=19): 14297 (x / y) \ (z / (x / y)) = y * (x \ ((z * y) / x)). [hyper(227,a,10051,a,b,14296,a(flip)),flip(a)]. given #13155 (H,wt=29): 14298 x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = (x / y) * (((x / y) \ 1) * z). [para(1994(a,1),14296(a,1,2)),flip(a)]. given #13156 (H,wt=29): 14299 x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = (x / y) * ((y * (x \ 1)) * z). [para(125(a,1),14298(a,2,2,1))]. given #13157 (H,wt=26): 14300 x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = L(z,y \ x,y \ x). [hyper(227,a,9812,a(flip),b,14299,a)]. given #13158 (H,wt=26): 14301 x * (y \ (((y * (x \ ((z * y) / x))) * x) / y)) = L(z,y \ x,y \ x). [para(14297(a,1),14300(a,1,2,2,1,1))]. given #13159 (H,wt=24): 14302 x * ((x \ ((y * z) / x)) * (x * (z \ 1))) = L(y,z \ x,z \ x). [para(1875(a,1),14301(a,1,2))]. given #13160 (H,wt=24): 14303 x * ((x \ ((y * z) / x)) * (x * (z \ 1))) = L(y,x * z,x * z). [hyper(227,a,14241,a(flip),b,14302,a)]. given #13161 (H,wt=22): 14304 x * ((x \ 1) * ((y * z) * (z \ 1))) = L(y,x * z,x * z). [para(9451(a,1),14303(a,1,2))]. given #13162 (H,wt=19): 14305 x * ((x \ 1) * L(y,z,z)) = L(y,x * z,x * z). [para(1028(a,1),14304(a,1,2,2))]. given #13163 (H,wt=16): 14306 L(x,y * z,y * z) = L(L(x,z,z),y,y). [hyper(1390,a,14305,a),flip(a)]. given #13164 (H,wt=16): 14307 L(x,y \ z,y \ z) = L(L(x,y,y),z,z). [hyper(227,a,14241,a,b,14306,a(flip)),flip(a)]. given #13165 (H,wt=23): 14308 ((1 / x) * y) \ (((1 / x) * y) / z) = L(L(1 / z,y,y),x,x). [hyper(227,a,13489,a,b,14307,a(flip)),flip(a)]. given #13166 (H,wt=22): 14309 ((1 / x) * y) \ (((1 / x) * y) / z) = L(y \ (y / z),x,x). [para(1371(a,1),14308(a,2,1))]. given #13167 (H,wt=22): 14310 ((1 / x) * y) \ (1 / (z * (y \ x))) = L(y \ (y / z),x,x). [para(328(a,1),14309(a,1,2))]. given #13168 (H,wt=18): 14311 (x \ y) / (z * (x \ y)) = L(x \ (x / z),y,y). [hyper(581,a,14310,a)]. given #13169 (H,wt=18): 14312 (x \ y) \ ((x \ y) / z) = L(x \ (x / z),y,y). [hyper(965,a,14311,a)]. given #13170 (H,wt=18): 14313 (x * y) \ ((x * y) / z) = L(x \ (x / z),y,y). [hyper(227,a,14258,a(flip),b,14312,a(flip)),flip(a)]. given #13171 (H,wt=24): 14314 x / L(y \ (y / ((y / (x * (1 / z))) * x)),x,x) = (x * y) * z. [para(14313(a,1),14248(a,1,2))]. given #13172 (H,wt=23): 14315 x * (1 / (y \ (y / ((y / (x * (1 / z))) * x)))) = (x * y) * z. [hyper(1316,a,14314,a)]. given #13173 (H,wt=23): 14316 x * ((1 / (y / ((y / (x * (1 / z))) * x))) * y) = (x * y) * z. [para(313(a,1),14315(a,1,2))]. given #13174 (H,wt=23): 14317 x * (y * ((((y / (x * (1 / z))) * x) \ y) \ 1)) = (x * y) * z. [para(5321(a,1),14316(a,1,2))]. given #13175 (H,wt=23): 14318 x * (y * (((y * x) \ (y * (x * (1 / z)))) \ 1)) = (x * y) * z. [para(13417(a,1),14317(a,1,2,2,1))]. given #13176 (H,wt=18): 14319 x * (y * (L(1 / z,x,y) \ 1)) = (x * y) * z. [para(28(a,2),14318(a,1,2,2,1))]. given #13177 (H,wt=14): 14320 x * (y * L(z,x,y)) = (x * y) * z. [para(13062(a,1),14319(a,1,2,2))]. given #13178 (H,wt=9): 14321 L(L(x,y,z),z,y) = x. [hyper(464,a,14320,a(flip))]. given #13179 (H,wt=15): 14326 L(L(L(x,y,z),u,w),z,y) = L(x,u,w). [para(14321(a,1),45(a,1,1)),flip(a)]. given #13180 (H,wt=16): 14323 x * (y * (z * a(x,y,z))) = (x * y) * z. [para(13894(a,1),14320(a,1,2,2))]. given #13181 (H,wt=16): 14327 x \ ((x * y) * z) = y * (z * a(x,y,z)). [hyper(78,a,14323,a)]. given #13182 (H,wt=16): 14328 x \ (y \ ((y * x) * z)) = z * a(y,x,z). [hyper(72,a,14327,a,b,xx)]. given #13183 (H,wt=16): 14330 x \ (y \ ((y * x) * z)) = a(y,x,z) * z. [hyper(227,a,12811,a,b,14328,a)]. given #13184 (H,wt=18): 14322 (1 / x) * (y * L(z,y,x)) = ((1 / x) * y) * z. [para(13886(a,1),14320(a,1,2,2))]. given #13185 (H,wt=18): 14329 x \ (y \ ((y * x) * z)) = R(1 / z,y,x) \ 1. [hyper(227,a,13848,a,b,14328,a)]. given #13186 (H,wt=23): 14331 x * (y * a(z,x,y)) != u * w | u \ (z \ ((z * x) * y)) = w. [para(14328(a,1),392(a,1,2))]. given #13187 (H,wt=24): 14332 a(x,y,L(z,x,y)) * L(z,x,y) = y \ (x \ (y * (T(x,y) * z))). [para(11070(a,1),14330(a,1,2,2)),flip(a)]. given #13188 (H,wt=19): 14334 x \ (y \ (x * (T(y,x) * z))) = L(L(z,y,x),y,x). [hyper(13917,a,14332,a),flip(a)]. given #13189 (H,wt=25): 14325 (x * (y * (z * u))) * a(y,z,u) = x * ((y * (z * u)) * a(y,z,u)). [para(14197(a,1),14320(a,1,2,2)),flip(a)]. given #13190 (H,wt=13): 14335 L(x,y * (z * u),a(y,z,u)) = x. [hyper(13988,a,14325,a)]. given #13191 (H,wt=25): 14336 (x / (y * (z * u))) / a(y,z,u) = x / (a(y,z,u) * (y * (z * u))). [hyper(14114,a,14335,a)]. given #13192 (H,wt=25): 14338 x / (a(y,z,u) * (y * (z * u))) = (x / (y * (z * u))) * a(y,u,z). [hyper(227,a,13927,a(flip),b,14336,a(flip))]. given #13193 (H,wt=20): 14339 (x / (y * (z * u))) * a(y,u,z) = x / ((y * z) * u). [para(12971(a,1),14338(a,1,2)),flip(a)]. given #13194 (H,wt=23): 14340 (1 / ((x * y) * z)) \ a(x,z,y) = T(x * (y * z),a(x,z,y)). [para(14339(a,1),1197(a,2,1)),flip(a)]. given #13195 (H,wt=21): 14342 T(x * (y * z),a(x,z,y)) = ((x * y) * z) * a(x,z,y). [hyper(12721,a,14340,a),flip(a)]. given #13196 (H,wt=16): 14343 T(x * (y * z),a(x,z,y)) = x * (y * z). [hyper(13969,a,14342,a(flip)),flip(a)]. given #13197 (H,wt=25): 14341 L(x / ((y * z) * u),y,K(z,u)) = a(y,u,z) * (x / (y * (z * u))). [para(14339(a,1),14066(a,1,1))]. given #13198 (H,wt=28): 14333 (1 / x) \ ((((1 / x) * y) * z) / (1 / x)) = (y * L(z,y,x)) * ((1 / x) \ 1). [para(14322(a,1),1258(a,1,2,1))]. given #13199 (H,wt=28): 14344 (1 / x) \ (1 / ((1 / x) * (y \ (z \ x)))) = (z * L(y,z,x)) * ((1 / x) \ 1). [para(756(a,1),14333(a,1,2))]. given #13200 (H,wt=26): 14345 (1 / x) \ (1 / ((y * (z * x)) \ x)) = (y * L(z,y,x)) * ((1 / x) \ 1). [para(1524(a,1),14344(a,1,2,2))]. given #13201 (H,wt=26): 14346 (1 / x) \ ((1 / x) * (y * (z * x))) = (y * L(z,y,x)) * ((1 / x) \ 1). [para(313(a,1),14345(a,1,2))]. given #13202 (H,wt=18): 14347 (x * L(y,x,z)) * ((1 / z) \ 1) = x * (y * z). [hyper(282,a,14346,a)]. given #13203 (H,wt=14): 14349 (x * L(y,x,z)) * z = x * (y * z). [para(65(a,1),14347(a,1,2))]. given #13204 (H,wt=29): 14324 x * (y * (z * (((u / T(x,y)) / y) / z))) = (x * y) * (z * ((u / (x * y)) / z)). [para(14118(a,1),14320(a,1,2,2))]. given #13205 (H,wt=32): 14337 T(x * (y * z),a(x,y,z) \ 1) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. [hyper(227,a,14121,a,b,14335,a(flip)),flip(a)]. given #13206 (H,wt=30): 14352 T(x * (y * z),a(x,z,y)) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. [para(13926(a,1),14337(a,1,1,2))]. given #13207 (H,wt=25): 14353 (x * (y * z)) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. [para(14343(a,1),14352(a,1,1))]. given #13208 (H,wt=20): 14354 (x * (y * z)) \ (((x * y) * z) * u) = a(x,y,z) * u. [para(12971(a,1),14353(a,1,2,1))]. given #13209 (H,wt=25): 14356 (x * (y * z)) \ ((x * y) * (z * u)) = a(x,y,z) * L(u,z,x * y). [para(100(a,1),14354(a,1,2))]. given #13210 (H,wt=37): 14351 L(L(((x / T(y,z)) / z) / u,u,z),z * u,y) = (y * (z * u)) \ ((y * z) * (u * ((x / (y * z)) / u))). [para(14324(a,1),466(a,1,2)),flip(a)]. given #13211 (H,wt=34): 14357 (x * (y * z)) \ ((x * y) * (z * ((u / (x * y)) / z))) = L((u / T(x,y)) / (z * y),y * z,x). [para(13893(a,1),14351(a,1,1)),flip(a)]. given #13212 (H,wt=32): 14358 a(x,y,z) * L((u / (x * y)) / z,z,x * y) = L((u / T(x,y)) / (z * y),y * z,x). [hyper(227,a,14356,a(flip),b,14357,a(flip)),flip(a)]. given #13213 (H,wt=27): 14359 L((x / T(y,z)) / (u * z),z * u,y) = a(y,z,u) * (x / (u * (y * z))). [para(13893(a,1),14358(a,1,2)),flip(a)]. given #13214 (H,wt=35): 14360 L((x / T(y,z)) / (u * T(z,y)),T(z,y) * u,y) = a(y,T(z,y),u) * (x / (u * (y * T(z,y)))). [para(1938(a,1),14359(a,1,1,1,2))]. given #13215 (H,wt=33): 14361 L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,T(z,y),u) * (x / (u * (y * T(z,y)))). [hyper(14083,a,14360,a)]. given #13216 (H,wt=31): 14362 L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,z,u) * (x / (u * (y * T(z,y)))). [para(13442(a,1),14361(a,2,1))]. given #13217 (H,wt=29): 14363 L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,z,u) * (x / (u * (z * y))). [para(113(a,1),14362(a,2,2,2,2))]. given #13218 (H,wt=29): 14364 L(a(x,y,z) * (u / (z * (y * x))),x,y * z) = (u / T(x,y)) / (z * T(y,x)). [para(14363(a,1),14321(a,1,1))]. given #13219 (H,wt=29): 14365 L(a(x,y,z) * (u / (x * (z * y))),y,z * x) = (u / T(y,z)) / (x * T(z,y)). [para(13925(a,1),14364(a,1,1,1))]. given #13220 (H,wt=29): 14366 L(L(x / ((y * z) * u),y,K(z,u)),u,z * y) = (x / T(u,z)) / (y * T(z,u)). [para(14341(a,2),14365(a,1,1))]. given #13221 (H,wt=24): 14367 L(x / ((y * z) * u),u,y * z) = (x / T(u,z)) / (y * T(z,u)). [hyper(227,a,14282,a(flip),b,14366,a(flip)),flip(a)]. given #13222 (H,wt=19): 14368 (x / T(y,z)) / (u * T(z,y)) = (x / y) / (u * z). [hyper(14114,a,14367,a),flip(a)]. given #13223 (H,wt=26): 14369 (x * ((y / z) / (u * w))) / (x * ((y / z) / (u * w))) = a(u,w,K(z,y)). [para(14368(a,1),14153(a,1,2,2))]. given #13224 (H,wt=8): 14370 a(x,y,K(z,u)) = 1. [hyper(296,a,14369,a),flip(a)]. given #13225 (H,wt=8): 14372 a(K(x,y),z,u) = 1. [hyper(13964,a,14370,a)]. given #13226 (H,wt=8): 14394 L(x,y,K(z,u)) = x. [hyper(33,a,14372,a)]. given #13227 (H,wt=8): 14400 L(x,K(y,z),u) = x. [hyper(13995,a,14394,a)]. given #13228 (H,wt=8): 14402 T(x,a(y,z,u)) = x. [hyper(13943,a,14394,a)]. given #13229 (H,wt=10): 14377 L(K(x,y),z,u) = K(x,y). [hyper(33,a,14370,a)]. given #13230 (H,wt=10): 14476 T(x,L(y,z,u) \ y) = x. [hyper(227,a,12486,a,b,14402,a(flip)),flip(a)]. given #13231 (H,wt=10): 14489 K(x,L(y,z,u)) = K(x,y). [hyper(11374,a,14377,a)]. given #13232 (H,wt=11): 14371 a(x,y,K(z,u)) != w | 1 = w. [para(14369(a,1),296(a,1))]. given #13233 (H,wt=11): 14398 T(a(x,y,z),u) = a(x,y,z). [hyper(14069,a,14394,a)]. given #13234 (H,wt=11): 14399 L(x,y,T(z,u)) = L(x,y,z). [hyper(14026,a,14394,a)]. given #13235 (H,wt=11): 14570 K(x,a(y,z,y)) != u | 1 = u. [para(11940(a,1),14371(a,1))]. given #13236 (H,wt=11): 14572 a(K(x,y),z,u) != w | 1 = w. [para(12874(a,2),14371(a,1))]. given #13237 (H,wt=11): 14573 a(x,K(y,z),u) != w | 1 = w. [para(13921(a,1),14371(a,1))]. given #13238 (H,wt=11): 14574 a(x,y,T(z,u)) = a(x,y,z). [hyper(14028,a,14398,a)]. given #13239 (H,wt=11): 14579 a(T(x,y),z,u) = a(x,z,u). [hyper(227,a,13499,a,b,14398,a(flip)),flip(a)]. given #13240 (H,wt=11): 14591 L(x,T(y,z),u) = L(x,y,u). [hyper(14170,a,14399,a)]. given #13241 (H,wt=12): 14558 T(x,L(y,z,u)) = x * K(x,y). [para(14489(a,1),4996(a,2,2))]. given #13242 (H,wt=10): 14658 T(x,L(y,z,u)) = T(x,y). [hyper(227,a,4996,a,b,14558,a)]. given #13243 (H,wt=10): 14670 T(x,R(y,z,u)) = T(x,y). [hyper(227,a,12931,a,b,14658,a(flip)),flip(a)]. given #13244 (H,wt=13): 14405 L(x,y,K(z,u)) = L(x,w,K(v5,v6)). [hyper(227,a,14394,a,b,14394,a)]. given #13245 (H,wt=11): 14743 L(x,y,K(z,u)) != w | w = x. [para(14405(a,1),360(a,1))]. given #13246 (H,wt=11): 14782 R(x,K(y,z),u) != w | w = x. [para(13902(a,2),14743(a,1))]. given #13247 (H,wt=13): 14425 a(x,y,z) * u = u * a(x,y,z). [hyper(227,a,14066,a(flip),b,14394,a(flip)),flip(a)]. given #13248 (H,wt=13): 14470 x / a(y,z,u) = a(y,z,u) \ x. [hyper(408,a,14402,a),flip(a)]. given #13249 (H,wt=13): 14599 L(x,y,z / u) = L(x,y,u \ z). [para(115(a,1),14399(a,1,3)),flip(a)]. given #13250 (H,wt=13): 14615 a(x,y,(z \ u) \ u) = a(x,y,z). [para(114(a,1),14574(a,1,3))]. given #13251 (H,wt=13): 14628 a(x / y,z,u) = a(y \ x,z,u). [para(115(a,1),14579(a,1,1)),flip(a)]. given #13252 (H,wt=13): 14643 L(x,(y \ z) \ z,u) = L(x,y,u). [hyper(227,a,14038,a,b,14591,a(flip)),flip(a)]. given #13253 (H,wt=14): 14440 L(x,y,z) != u | L(x,y,T(z,w)) = u. [para(14394(a,1),9679(a,1))]. given #13254 (H,wt=14): 14441 L(x,y,T(z,u)) != w | L(x,y,z) = w. [para(14394(a,1),10437(a,1))]. given #13255 (H,wt=14): 14672 T(L(x,y,z),x) != u | L(x,y,z) = u. [para(14658(a,1),287(a,1)),flip(b)]. given #13256 (H,wt=14): 14805 L(x,T(y,z),u) != w | L(x,y,u) = w. [para(14169(a,2),14441(a,1))]. given #13257 (H,wt=15): 14427 (K(x,y) * z) \ u = z \ (K(y,x) * u). [hyper(227,a,6468,a(flip),b,14394,a(flip)),flip(a)]. given #13258 (H,wt=15): 14430 (K(x,y) * z) * u = K(x,y) * (z * u). [para(14394(a,1),100(a,1,2))]. given #13259 (H,wt=15): 14444 (x * y) * K(z,u) = x * (y * K(z,u)). [para(14394(a,1),13739(a,1,1)),flip(a)]. given #13260 (H,wt=15): 14445 (x * K(y,z)) * u = x * (K(y,z) * u). [para(14394(a,1),14320(a,1,2,2)),flip(a)]. given #13261 (H,wt=15): 14455 (x * K(y,z)) \ u = K(z,y) * (x \ u). [hyper(227,a,6469,a(flip),b,14400,a(flip)),flip(a)]. given #13262 (H,wt=15): 14480 x * (a(y,z,u) \ 1) = a(y,z,u) \ x. [para(14402(a,1),1244(a,1,1))]. given #13263 (H,wt=15): 14584 (a(x,y,z) \ 1) \ u = u * a(x,y,z). [para(14398(a,1),788(a,1,2)),flip(a)]. given #13264 (H,wt=15): 14601 L(x,y,z * (u \ 1)) = L(x,y,u \ z). [para(626(a,1),14399(a,1,3))]. given #13265 (H,wt=15): 14617 a(x,y,(z * u) \ u) = a(x,y,z \ 1). [para(1193(a,1),14574(a,1,3))]. given #13266 (H,wt=15): 14646 L(x,y * (z \ 1),u) = L(x,z \ y,u). [para(626(a,1),14591(a,1,2))]. given #13267 (H,wt=15): 14649 L(x,(y / z) \ 1,u) = L(x,y \ z,u). [para(1195(a,1),14591(a,1,2)),flip(a)]. given #13268 (H,wt=15): 14664 T(x / L(y,z,u),y) = L(y,z,u) \ x. [hyper(408,a,14658,a),flip(a)]. given #13269 (H,wt=15): 14691 R(x,y,z) * T(u,x) = u * R(x,y,z). [para(14670(a,1),113(a,1,2))]. given #13270 (H,wt=15): 14795 L(x,y,(z \ 1) * u) = L(x,y,u / z). [hyper(227,a,12084,a,b,14599,a),flip(a)]. given #13271 (H,wt=15): 14875 x * a(y \ 1,z,u) = a(z,u,y) \ x. [para(13479(a,2),14480(a,1,2))]. given #13272 (H,wt=15): 14877 (x \ L(x,y,z)) \ u = u * a(z,y,x). [para(13481(a,1),14584(a,1,1))]. given #13273 (H,wt=16): 14479 x / a(y,z,u) != w | a(y,z,u) \ x = w. [para(14402(a,1),408(a,1))]. given #13274 (H,wt=16): 14621 L(a(x,y,z),u,K(w,v5)) = a(T(x,v6),y,z). [hyper(227,a,14394,a,b,14579,a),flip(a)]. given #13275 (H,wt=14): 14889 a(T(x,y),z,u) != w | a(x,z,u) = w. [para(14621(a,1),360(a,1)),flip(b)]. given #13276 (H,wt=14): 14890 T(a(x,y,z),u) != w | a(x,y,z) = w. [para(13499(a,1),14889(a,1))]. given #13277 (H,wt=16): 14760 L(x,y,K(z,u)) != w | L(x,v5,K(v6,v7)) = w. [para(14405(a,1),10707(a,1))]. given #13278 (H,wt=16): 14767 L(x,y,K(z,u)) != w | L(x,K(v5,v6),v7) = w. [para(14405(a,1),13995(a,1))]. given #13279 (H,wt=16): 14784 L(x,y,z * u) != w | L(x,y,u * z) = w. [para(14037(a,1),14743(a,1)),flip(b)]. given #13280 (H,wt=16): 14794 (a(x,y,z) \ u) \ u != w | a(x,y,z) = w. [para(14470(a,1),281(a,1,1)),flip(b)]. given #13281 (H,wt=16): 14802 L(x,y,z \ u) != w | L(x,y,u / z) = w. [para(115(a,1),14441(a,1,3))]. given #13282 (H,wt=16): 14807 L(x,y \ z,u) != w | L(x,z / y,u) = w. [para(115(a,1),14805(a,1,2))]. given #13283 (H,wt=16): 14894 T(a(x,y,z),u) != w | a(T(x,v5),y,z) = w. [para(14579(a,1),14890(a,1,1))]. given #13284 (H,wt=16): 14906 T(x,a(y,z,u)) != w | L(x,K(v5,v6),v7) = w. [para(13940(a,1),14767(a,1))]. given #13285 (H,wt=17): 14548 x / (L(y,z,u) \ y) = (y \ L(y,z,u)) * x. [para(14476(a,1),9215(a,1,1))]. given #13286 (H,wt=17): 14562 K(x,K(y,L(z,u,w))) != v5 | K(y,K(x,z)) = v5. [para(14489(a,2),7430(a,1,2))]. given #13287 (H,wt=17): 14789 x * (a(y,z,u) * w) = x * (w * a(y,z,u)). [hyper(21,a,14425,a)]. given #13288 (H,wt=17): 14810 T(x,x * y) * K(y,x) != z | L(x,y,x) = z. [para(8638(a,1),14805(a,1))]. given #13289 (H,wt=17): 14812 (T(x,y) * z) \ (K(x,y) * u) = (x * z) \ u. [para(6425(a,1),14427(a,1,1)),flip(a)]. given #13290 (H,wt=17): 14828 K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. [para(5788(a,1),14430(a,1,1)),flip(a)]. given #13291 (H,wt=17): 14829 K(x,y) * ((x * z) * u) = (T(x,y) * z) * u. [para(5795(a,1),14430(a,1,1)),flip(a)]. given #13292 (H,wt=17): 14832 K(x,y) * ((x \ y) * z) = (y * (x \ 1)) * z. [para(6399(a,1),14430(a,1,1)),flip(a)]. given #13293 (H,wt=17): 14861 (x \ K(y,z)) * (K(z,y) * u) = (x \ 1) * u. [para(5105(a,1),14445(a,1,1)),flip(a)]. given #13294 (H,wt=17): 14862 (x \ T(y,z)) * (K(z,y) * u) = (x \ y) * u. [para(6685(a,1),14445(a,1,1)),flip(a)]. given #13295 (H,wt=17): 14871 K(x,T(y,z)) * (z \ u) = (K(y,x) * z) \ u. [para(5994(a,1),14455(a,1,1)),flip(a)]. given #13296 (H,wt=17): 14885 ((x * y) / x) * R(x,z,u) = R(x,z,u) * y. [para(160(a,1),14691(a,1,2)),flip(a)]. given #13297 (H,wt=17): 14917 (x \ L(x,y,z)) * (u * (L(x,y,z) \ x)) = u. [hyper(293,a,14548,a)]. given #13298 (H,wt=17): 14920 K(x,y) * T(y,y * x) != z | L(y,x,y) = z. [para(2928(a,1),14810(a,1))]. given #13299 (H,wt=17): 14923 K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). [hyper(227,a,14427,a(flip),b,14871,a)]. given #13300 (H,wt=17): 14928 x \ (y * (L(x,z,u) \ x)) = L(x,z,u) \ y. [hyper(72,a,14917,a(flip),b,13459,a(flip)),flip(a)]. given #13301 (H,wt=17): 14929 K(x,y) * T(y,x * y) != z | L(y,x,y) = z. [para(2461(a,2),14920(a,1,2))]. given #13302 (H,wt=17): 14931 x * (L(y,z,u) \ y) = y * (L(y,z,u) \ x). [para(14928(a,1),14(a,1,2)),flip(a)]. given #13303 (H,wt=15): 14933 x * (L(x,y,z) \ u) = u * a(z,y,x). [para(13930(a,2),14931(a,1,2)),flip(a)]. given #13304 (H,wt=15): 14934 L(x,y,z) \ (x * u) = u * a(z,y,x). [hyper(2407,a,14933,a)]. given #13305 (H,wt=15): 14935 (x \ y) * a(z,u,x) = L(x,u,z) \ y. [hyper(2404,a,14933,a),flip(a)]. given #13306 (H,wt=17): 14941 (x * y) * a(z,u,x) = x * (y * a(z,u,x)). [para(14934(a,1),14933(a,1,2)),flip(a)]. given #13307 (H,wt=12): 14942 L(a(x,y,z),u,z) = a(x,y,z). [hyper(10716,a,14941,a)]. given #13308 (H,wt=17): 14944 (x * y) * a(z,u,y) = x * (y * a(z,u,y)). [para(14942(a,1),14320(a,1,2,2)),flip(a)]. given #13309 (H,wt=17): 14945 (x * a(y,z,u)) * u = x * (a(y,z,u) * u). [para(14942(a,1),14349(a,1,1,2))]. given #13310 (H,wt=15): 14947 (x * a(y,z,u)) * u = x * L(u,y,z). [para(13914(a,2),14945(a,2,2))]. given #13311 (H,wt=17): 14946 (x * y) * a(z,u,y) = x * (a(z,u,y) * y). [hyper(227,a,14789,a,b,14944,a)]. given #13312 (H,wt=17): 14949 (L(x,y,z) \ u) * x = (x \ u) * L(x,z,y). [para(14935(a,1),14947(a,1,1))]. given #13313 (H,wt=17): 14950 (x * a(y,z,u)) * u = (x * u) * a(y,z,u). [hyper(227,a,14945,a,b,14946,a),flip(a)]. given #13314 (H,wt=18): 14433 (K(x,y) * (z * u)) / u != w | K(x,y) * z = w. [para(14394(a,1),295(a,1,2))]. given #13315 (H,wt=18): 14587 K(a(x,y,z),T(u,w)) != v5 | K(a(x,y,z),u) = v5. [para(14398(a,1),7647(a,1,1))]. given #13316 (H,wt=18): 14779 (K(x,y) * z) \ u != w | z \ (K(y,x) * u) = w. [para(6468(a,1),14743(a,1)),flip(b)]. given #13317 (H,wt=18): 14797 (x \ (y / z)) \ ((x \ y) / z) = a(z,y \ 1,x). [hyper(227,a,13021,a,b,14615,a(flip)),flip(a)]. given #13318 (H,wt=18): 14804 L(x,y,z * (u \ 1)) != w | L(x,y,u \ z) = w. [para(626(a,1),14441(a,1,3))]. given #13319 (H,wt=18): 14809 L(x,y * (z \ 1),u) != w | L(x,z \ y,u) = w. [para(626(a,1),14805(a,1,2))]. given #13320 (H,wt=18): 14907 x * a(y,z,K(u,x)) != w | L(x,K(v5,v6),v7) = w. [para(13941(a,2),14767(a,1))]. given #13321 (H,wt=18): 14912 L(x,y,T(z * u,w)) != v5 | L(x,y,u * z) = v5. [para(14399(a,2),14784(a,1))]. given #13322 (H,wt=18): 14913 L(x,T(y,z),u * w) != v5 | L(x,y,w * u) = v5. [para(14591(a,2),14784(a,1))]. given #13323 (H,wt=18): 14914 L(x,y,z \ u) != w | L(x,y,(z \ 1) * u) = w. [para(14601(a,1),14784(a,1))]. given #13324 (H,wt=18): 14924 K((K(x,y) * z) \ u,y) != w | K(z \ u,y) = w. [para(14871(a,1),6991(a,1,1))]. given #13325 (H,wt=18): 14936 (x \ y) * a(z,u,x) != w | L(x,u,z) \ y = w. [para(14933(a,1),2404(a,1))]. given #13326 (H,wt=18): 14953 (K(x,y) * z) / u != w | K(x,y) * (z / u) = w. [para(16(a,1),14433(a,1,1,2))]. given #13327 (H,wt=18): 14956 (x \ (y / z)) * a(z,y \ 1,x) = (x \ y) / z. [para(14797(a,1),14(a,1,2))]. given #13328 (H,wt=16): 14961 L(x,y \ 1,z) \ (y / z) = (x \ y) / z. [hyper(14936,a,14956,a)]. given #13329 (H,wt=18): 14958 L(x,y,(1 / z) \ u) != w | L(x,y,z * u) = w. [para(1209(a,1),14912(a,1,3))]. given #13330 (H,wt=18): 14959 L(x,y,z / u) != w | L(x,y,(u \ 1) * z) = w. [para(14599(a,2),14914(a,1))]. given #13331 (H,wt=19): 14616 a(x,y,((1 / z) * u) \ w) = a(x,y,w * (u \ z)). [para(627(a,1),14574(a,1,3)),flip(a)]. given #13332 (H,wt=19): 14618 a(x,y,z * (u \ (w \ 1))) = a(x,y,(w * u) \ z). [para(1217(a,1),14574(a,1,3)),flip(a)]. given #13333 (H,wt=19): 14648 L(x,((1 / y) * z) \ u,w) = L(x,u * (z \ y),w). [para(627(a,1),14591(a,1,2)),flip(a)]. given #13334 (H,wt=19): 14650 L(x,y * (z \ (u \ 1)),w) = L(x,(u * z) \ y,w). [para(1217(a,1),14591(a,1,2)),flip(a)]. given #13335 (H,wt=19): 14701 K(x,T(y,z)) * R(z,u,w) = R(z,u,w) * K(x,y). [para(14670(a,1),7515(a,1,1,2))]. given #13336 (H,wt=19): 14798 a(x,y,L(z \ 1,u,w) \ 1) = a(x,y,L(z,u,w)). [para(13064(a,2),14615(a,1,3,1))]. given #13337 (H,wt=19): 14864 (x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w). [para(14444(a,1),14445(a,1,1))]. given #13338 (H,wt=19): 14952 ((x \ y) * x) * a(z,u,x) = (L(x,u,z) \ y) * x. [para(14935(a,1),14950(a,1,1)),flip(a)]. given #13339 (H,wt=20): 14785 L(x,K(y,z) * u,K(y,z) * u) != w | L(x,u,u) = w. [para(14306(a,2),14743(a,1)),flip(b)]. given #13340 (H,wt=20): 14883 x * (L(x,y,z) \ u) != w | (u / L(x,y,z)) * x = w. [para(14664(a,1),210(a,1,2))]. given #13341 (H,wt=15): 14967 (x / L(y,z,u)) * y = x * a(u,z,y). [hyper(14883,a,14933,a)]. given #13342 (H,wt=15): 14968 (x * y) / L(y,z,u) = x * a(u,z,y). [hyper(18,a,14950,a,b,14967,a)]. given #13343 (H,wt=15): 14971 (x / y) * a(z,u,y) = x / L(y,u,z). [hyper(409,a,14968,a),flip(a)]. given #13344 (H,wt=17): 14972 (x \ L(x,y,z)) \ (u / x) = u / L(x,y,z). [hyper(227,a,14877,a,b,14971,a(flip)),flip(a)]. given #13345 (H,wt=15): 14975 a(x,y,z) \ (u / z) = u / L(z,x,y). [para(13896(a,2),14972(a,1,1))]. given #13346 (H,wt=20): 14891 T(a(x,y,K(z,u)),w) != v5 | a(x,y,K(z,T(u,v6))) = v5. [para(13635(a,1),14890(a,1,1))]. given #13347 (H,wt=20): 14948 (x * a(y,z,u)) * u = x * (z \ (y \ ((y * z) * u))). [para(14330(a,2),14945(a,2,2))]. given #13348 (H,wt=20): 14951 (x * y) * a(z,u,y) != w * y | x * a(z,u,y) = w. [para(14950(a,1),20(a,1))]. given #13349 (H,wt=20): 14976 (x * y) \ (x * (z \ (u \ ((u * z) * y)))) = a(u,z,y). [hyper(72,a,14948,a(flip),b,14950,a(flip))]. given #13350 (H,wt=19): 14978 (x * y) \ (x * (R(1 / y,z,u) \ 1)) = a(z,u,y). [para(14329(a,1),14976(a,1,2,2))]. given #13351 (H,wt=21): 14911 L(L(x,y,z * u),w,K(v5,v6)) != v7 | L(x,y,u * z) = v7. [para(14394(a,2),14784(a,1))]. given #13352 (H,wt=21): 14922 K(x,y) * (((T(x,y) \ z) * u) * w) = ((x \ z) * u) * w. [para(14828(a,1),14430(a,1,1)),flip(a)]. given #13353 (H,wt=21): 14980 L(L(x,y,K(z,u)),w,v5 * v6) != v7 | L(x,w,v6 * v5) = v7. [para(45(a,1),14911(a,1))]. given #13354 (H,wt=22): 14459 (x * K(y,z)) * u != w * v5 | w \ (x * (K(y,z) * u)) = v5. [para(14400(a,1),551(a,1,2))]. given #13355 (H,wt=22): 14819 ((K(x,y) * (z * u)) * w) / (u * w) = R(K(x,y) * z,u,w). [para(14430(a,1),30(a,2,1,1)),flip(a)]. given #13356 (H,wt=22): 14879 a(x,y,((z * u) * w) \ (u * w)) = a(x,y,R(z,u,w) \ 1). [para(109(a,1),14617(a,1,3,1))]. given #13357 (H,wt=22): 14957 L(x,y * (z \ (u \ 1)),w) != v5 | L(x,(u * z) \ y,w) = v5. [para(123(a,1),14809(a,1,2,2))]. given #13358 (H,wt=22): 14962 L(L(x,y \ 1,z),u,w) \ (y / z) = (L(x,u,w) \ y) / z. [para(45(a,1),14961(a,1,1))]. given #13359 (H,wt=20): 14983 L(L(x,y,z),u,w) \ (z / y) = (L(x,u,w) \ z) / y. [para(13885(a,1),14962(a,1,1,1))]. given #13360 (H,wt=22): 14981 (K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w). [para(14430(a,1),14819(a,1,1))]. given #13361 (H,wt=22): 14985 K(x,y) * (((z * u) * w) / (u * w)) = R(K(x,y) * z,u,w). [hyper(14953,a,14981,a)]. given #13362 (H,wt=17): 14986 R(K(x,y) * z,u,w) = K(x,y) * R(z,u,w). [para(30(a,2),14985(a,1,2)),flip(a)]. given #13363 (H,wt=19): 14987 R(K(x,T(y,z)) * z,u,w) = R(z,u,w) * K(x,y). [hyper(227,a,14701,a(flip),b,14986,a)]. given #13364 (H,wt=17): 14992 R(x * K(y,z),u,w) = R(x,u,w) * K(y,z). [para(7515(a,1),14987(a,1,1))]. given #13365 (H,wt=21): 14994 R(x * K(y,z),u,w) * v5 = R(x,u,w) * (K(y,z) * v5). [para(14992(a,2),14445(a,1,1))]. given #13366 (H,wt=22): 14995 R(x,y,z) * (K(u,w) * (y * z)) = ((x * K(u,w)) * y) * z. [hyper(215,a,14994,a),flip(a)]. given #13367 (H,wt=22): 14996 R(x,y,z) * (K(u,w) * (y * z)) = (x * (K(u,w) * y)) * z. [para(14445(a,1),14995(a,2,1))]. given #13368 (H,wt=23): 14963 a(x,y,(T(z / u,z) * w) \ v5) = a(x,y,v5 * (w \ (z \ u))). [para(642(a,2),14616(a,1,3,1,1))]. given #13369 (H,wt=23): 14984 x \ ((L(y,x,z / u) \ z) / u) = (L(y,u,z) * x) \ (z / u). [hyper(72,a,14983,a(flip),b,13987,a(flip))]. given #13370 (H,wt=23): 14998 x \ ((L(y,x,z \ u) \ u) / z) = (L(y,z,u) * x) \ (u / z). [para(14599(a,1),14984(a,1,2,1,1))]. given #13371 (H,wt=24): 14801 (x * R(y,z,y)) \ ((y * x) * y) != u | L(T(y,x),z,T(y,w)) = u. [para(10293(a,2),14440(a,1))]. given #13372 (H,wt=23): 14999 T(x,x * R(y,z,u)) != w | L(T(x,R(y,z,u)),y,T(x,v5)) = w. [para(12039(a,1),14801(a,1))]. given #13373 (H,wt=24): 14901 L((x / y) / z,z,T(y,u)) != w | L(x / (z * y),v5,K(v6,v7)) = w. [para(14035(a,2),14760(a,1))]. given #13374 (H,wt=24): 14919 (x \ L(x,y,z)) * (u * (L(x,y,z) \ x)) != w * v5 | w \ u = v5. [para(14548(a,1),549(a,1))]. given #13375 (H,wt=24): 14927 L(x \ R(x,y,z),x,x \ (x * u)) = (x * u) \ (R(x,y,z) * u). [para(14885(a,1),11080(a,2,2))]. given #13376 (H,wt=20): 15000 L(x \ R(x,y,z),x,u) = (x * u) \ (R(x,y,z) * u). [para(13(a,1),14927(a,1,3))]. given #13377 (H,wt=18): 15001 (x * y) \ (R(x,z,u) * y) = L(a(x,z,u),x,y). [para(13939(a,2),15000(a,1,1)),flip(a)]. given #13378 (H,wt=15): 15002 (x * y) \ (R(x,z,u) * y) = a(x,z,u). [hyper(227,a,14046,a(flip),b,15001,a)]. given #13379 (H,wt=15): 15006 (x * y) * a(x,z,u) = R(x,z,u) * y. [para(15002(a,1),14(a,1,2))]. given #13380 (H,wt=15): 15009 x * (R(x,y,z) \ u) = u / a(x,y,z). [hyper(73,a,14,a(flip),b,15006,a),flip(a)]. given #13381 (H,wt=15): 15012 x * (R(x,y,z) \ u) = a(x,y,z) \ u. [hyper(227,a,14470,a(flip),b,15009,a)]. given #13382 (H,wt=20): 15013 a(x,x \ (y / z),z) \ y = x * ((x \ (y / z)) * z). [para(827(a,1),15012(a,1,2)),flip(a)]. given #13383 (H,wt=23): 15011 (x / y) * a(K(y,x) / y,z,u) = R(K(y,x) / y,z,u) * x. [para(5312(a,1),15006(a,1,1))]. given #13384 (H,wt=23): 15014 (x * ((x \ (y / z)) * z)) \ y != u | a(x,x \ (y / z),z) = u. [para(15013(a,1),14794(a,1,1))]. given #13385 (H,wt=23): 15015 (x / y) * a(y \ K(y,x),z,u) = R(K(y,x) / y,z,u) * x. [para(14628(a,1),15011(a,1,2))]. given #13386 (H,wt=25): 14964 a(x,y,(T(z \ u,z) * w) \ v5) = a(x,y,v5 * (w \ T(u \ z,z))). [para(985(a,1),14616(a,1,3,1,1))]. given #13387 (H,wt=25): 14997 (x * (K(y,z) * u)) * w != v5 * (K(y,z) * (u * w)) | R(x,u,w) = v5. [para(14996(a,1),20(a,1))]. given #13388 (H,wt=26): 14818 (K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,u,K(x,y) * z). [para(14430(a,1),28(a,2,1)),flip(a)]. given #13389 (H,wt=26): 14824 R(x,K(y,z) * u,w) * (K(y,z) * (u * w)) = (x * (K(y,z) * u)) * w. [para(14430(a,1),109(a,1,2))]. given #13390 (H,wt=13): 15017 R(x,K(y,z) * u,w) = R(x,u,w). [hyper(18,a,14996,a,b,14824,a)]. given #13391 (H,wt=13): 15024 R(x,y / z,u) = R(x,z \ y,u). [para(5020(a,1),15017(a,1,2))]. given #13392 (H,wt=15): 15029 R(x,(1 / y) * z,u) = R(x,z / y,u). [para(6461(a,1),15017(a,1,2)),flip(a)]. given #13393 (H,wt=15): 15041 R(x,(1 / y) * z,u) = R(x,y \ z,u). [hyper(227,a,15024,a(flip),b,15029,a)]. given #13394 (H,wt=15): 15042 R(x,(y * z) \ y,u) = R(x,1 / z,u). [para(335(a,1),15041(a,1,2)),flip(a)]. given #13395 (H,wt=15): 15043 R(x,(y * z) \ y,u) = R(x,z \ 1,u). [hyper(227,a,15024,a(flip),b,15042,a)]. given #13396 (H,wt=15): 15044 R(x,(y \ z) \ 1,u) = R(x,z \ y,u). [para(14(a,1),15043(a,1,2,1)),flip(a)]. given #13397 (H,wt=26): 14854 ((x * K(y,z)) * u) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [hyper(72,a,14445,a(flip),b,100,a)]. given #13398 (H,wt=26): 14960 (x * (K(y,y \ 1) * z)) / u != w | K(y,y \ 1) * ((x * z) / u) = w. [para(9137(a,1),14953(a,1,1))]. given #13399 (H,wt=26): 15016 (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [para(14430(a,1),14818(a,1,2))]. given #13400 (H,wt=20): 15046 L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). [hyper(1158,a,15016,a)]. given #13401 (H,wt=13): 15049 L(x,y,K(z,u) * w) = L(x,y,w). [hyper(14743,a,15046,a)]. given #13402 (H,wt=13): 15052 L(x,y,z * K(u,w)) = L(x,y,z). [hyper(14784,a,15049,a)]. given #13403 (H,wt=15): 15056 L(x,y,z * T(u,w)) = L(x,y,z * u). [para(5467(a,1),15049(a,1,3))]. given #13404 (H,wt=15): 15058 L(x,y,T(z,u) * w) = L(x,y,z * w). [para(5795(a,1),15049(a,1,3))]. given #13405 (H,wt=15): 15066 L(x,y,z / T(u,w)) = L(x,y,z / u). [para(6003(a,1),15052(a,1,3)),flip(a)]. given #13406 (H,wt=16): 15051 L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5. [para(15046(a,1),14743(a,1)),flip(b)]. given #13407 (H,wt=16): 15076 L(x,y,z / u) != w | L(x,y,u \ z) = w. [para(5020(a,1),15051(a,1,3))]. given #13408 (H,wt=16): 15077 L(x,y,z * K(u,w)) != v5 | L(x,y,z) = v5. [para(6065(a,1),15051(a,1,3))]. given #13409 (H,wt=17): 15060 L(x,y,(z / u) * w) = L(x,y,(u \ z) * w). [para(6194(a,1),15049(a,1,3))]. given #13410 (H,wt=17): 15061 L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5). [para(10107(a,1),15049(a,1,3)),flip(a)]. given #13411 (H,wt=17): 15062 L(x,y,(z * u) \ w) = L(x,y,(u * z) \ w). [para(11057(a,1),15049(a,1,3))]. given #13412 (H,wt=17): 15064 L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). [para(14923(a,1),15049(a,1,3))]. given #13413 (H,wt=17): 15068 L(x,y,z \ (u * w)) = L(x,y,z \ (w * u)). [para(9652(a,1),15052(a,1,3))]. given #13414 (H,wt=17): 15073 L(x,y,(T(z,u) \ 1) * w) = L(x,y,w / z). [hyper(14959,a,15066,a)]. given #13415 (H,wt=17): 15091 L(x,y,z / (u * w)) = L(x,y,(w * u) \ z). [hyper(14802,a,15062,a)]. given #13416 (H,wt=17): 15092 L(x,y,z \ (u / w)) = L(x,y,z \ (w \ u)). [para(5020(a,1),15064(a,1,3,2))]. given #13417 (H,wt=17): 15098 L(x,y,(z \ (u \ z)) * w) = L(x,y,w / u). [para(655(a,1),15073(a,1,3,1))]. given #13418 (H,wt=17): 15102 L(x,y,(z \ (u \ z)) * w) = L(x,y,u \ w). [hyper(227,a,14599,a(flip),b,15098,a)]. given #13419 (H,wt=17): 15104 L(x,y,(z / u) \ w) = L(x,y,(z \ u) * w). [para(65(a,1),15102(a,1,3,1,2)),flip(a)]. given #13420 (H,wt=18): 15070 L(x,y,z * T(u,w)) != v5 | L(x,y,u * z) = v5. [para(15056(a,2),14784(a,1))]. given #13421 (H,wt=18): 15084 L(x,y,(z \ 1) * u) != w | L(x,y,z \ u) = w. [para(14795(a,2),15076(a,1))]. given #13422 (H,wt=19): 15063 L(x,y,(T(z,u) * w) * v5) = L(x,y,(z * w) * v5). [para(14829(a,1),15049(a,1,3))]. given #13423 (H,wt=19): 15072 L(x,y,((1 / z) * u) * w) = L(x,y,(u / z) * w). [para(629(a,1),15058(a,1,3,1))]. given #13424 (H,wt=19): 15089 L(x,y,(z \ K(u,w)) * v5) = L(x,y,(z \ 1) * v5). [para(14861(a,1),15061(a,1,3)),flip(a)]. given #13425 (H,wt=17): 15107 L(x,y,(z \ K(u,w)) * v5) = L(x,y,z \ v5). [hyper(227,a,12084,a(flip),b,15089,a)]. given #13426 (H,wt=19): 15090 L(x,y,(z \ T(u,w)) * v5) = L(x,y,(z \ u) * v5). [para(14862(a,1),15061(a,1,3)),flip(a)]. given #13427 (H,wt=19): 15094 L(x,y,z \ (u * (w \ 1))) = L(x,y,z \ (w \ u)). [para(6399(a,1),15064(a,1,3,2))]. given #13428 (H,wt=19): 15095 L(x,y,z \ ((1 / u) * w)) = L(x,y,z \ (w / u)). [para(6461(a,1),15064(a,1,3,2)),flip(a)]. given #13429 (H,wt=19): 15096 L(x,y,(T(z,u) * w) \ v5) = L(x,y,(z * w) \ v5). [para(14812(a,1),15064(a,1,3)),flip(a)]. given #13430 (H,wt=19): 15106 L(x,y,((1 / z) * u) * w) = L(x,y,(z \ u) * w). [hyper(227,a,15060,a(flip),b,15072,a)]. given #13431 (H,wt=19): 15108 L(x,y,(z * (u \ 1)) * w) = L(x,y,(z \ u) \ w). [para(5408(a,1),15107(a,1,3,1))]. given #13432 (H,wt=19): 15111 L(x,y,z \ ((u \ 1) * w)) = L(x,y,z \ (u \ w)). [hyper(227,a,15068,a,b,15094,a(flip)),flip(a)]. given #13433 (H,wt=19): 15112 L(x,y,z \ ((1 / u) * w)) = L(x,y,z \ (u \ w)). [hyper(227,a,15092,a(flip),b,15095,a)]. given #13434 (H,wt=19): 15113 L(x,y,(z * T(u,w)) \ v5) = L(x,y,(u * z) \ v5). [hyper(227,a,15062,a,b,15096,a(flip)),flip(a)]. given #13435 (H,wt=20): 15074 L(x,y,z * (1 / u)) != w | L(x,y,z * (u \ 1)) = w. [para(3651(a,1),15051(a,1,3))]. given #13436 (H,wt=20): 15075 L(x,y,(z \ u) * (1 / u)) != w | L(x,y,z \ 1) = w. [para(3676(a,1),15051(a,1,3))]. given #13437 (H,wt=20): 15078 L(x,y,(z / u) * w) != v5 | L(x,y,(u \ z) * w) = v5. [para(6194(a,1),15051(a,1,3))]. given #13438 (H,wt=20): 15080 L(x,y,(z * u) \ w) != v5 | L(x,y,(u * z) \ w) = v5. [para(11057(a,1),15051(a,1,3))]. given #13439 (H,wt=20): 15087 L(x,y,z \ (u * w)) != v5 | L(x,y,z \ (w * u)) = v5. [para(9652(a,1),15077(a,1,3))]. given #13440 (H,wt=20): 15097 L(x,y,(z * u) \ ((u * w) * z)) = L(x,y,L(w,u,z)). [para(28(a,2),15068(a,1,3)),flip(a)]. given #13441 (H,wt=20): 15099 L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,R(w,u,z)). [para(30(a,2),15091(a,1,3)),flip(a)]. given #13442 (H,wt=20): 15103 L(x,y,(z \ (u \ z)) * w) != v5 | L(x,y,u \ w) = v5. [para(15098(a,2),15076(a,1))]. given #13443 (H,wt=20): 15120 L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,L(w,u,z)). [para(13889(a,1),15099(a,2,3))]. given #13444 (H,wt=15): 15121 L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). [hyper(227,a,15099,a(flip),b,15120,a(flip)),flip(a)]. given #13445 (H,wt=17): 15122 L(x,y,L(z,u,w \ 1)) = L(x,y,L(z,w,u)). [para(13879(a,1),15121(a,1,3))]. given #13446 (H,wt=17): 15123 L(x,y,L(z,u \ 1,w)) = L(x,y,L(z,w,u)). [para(13902(a,1),15121(a,1,3))]. given #13447 (H,wt=21): 15100 L(x,y,z \ ((u \ w) \ 1)) = L(x,y,z \ ((1 / w) * u)). [para(313(a,1),15092(a,1,3,2)),flip(a)]. given #13448 (H,wt=19): 15124 L(x,y,z \ ((u \ w) \ 1)) = L(x,y,z \ (w \ u)). [hyper(227,a,15112,a(flip),b,15100,a)]. given #13449 (H,wt=21): 15109 L(x,y,(z \ (u / w)) * v5) = L(x,y,(z \ (w \ u)) * v5). [para(115(a,1),15090(a,1,3,1,2)),flip(a)]. given #13450 (H,wt=21): 15115 L(x,y,(T(z,u) * w) \ v5) = L(x,y,(w * T(z,v6)) \ v5). [hyper(227,a,15096,a,b,15113,a),flip(a)]. given #13451 (H,wt=22): 15081 L(x,y,(z * (u \ 1)) * w) != v5 | L(x,y,(u \ z) * w) = v5. [para(14832(a,1),15051(a,1,3))]. given #13452 (H,wt=17): 15126 L(x,y,(z \ u) \ w) = L(x,y,(u \ z) * w). [hyper(15081,a,15108,a),flip(a)]. given #13453 (H,wt=17): 15127 L(x,y,((z * u) \ z) * w) = L(x,y,u \ w). [para(13(a,1),15126(a,1,3,1)),flip(a)]. given #13454 (H,wt=18): 15128 L(x,y,L(z \ 1,z,u) * w) = L(x,y,z \ w). [para(156(a,2),15127(a,1,3,1))]. given #13455 (H,wt=22): 15101 L(x,y,(z / (u * w)) \ (w \ z)) = L(x,y,R(u,w,z \ 1)). [para(1834(a,1),15092(a,1,3)),flip(a)]. given #13456 (H,wt=22): 15117 L(x,y,((1 / z) * u) * w) != v5 | L(x,y,(z \ u) * w) = v5. [para(15072(a,2),15078(a,1))]. given #13457 (H,wt=22): 15118 L(x,y,(z * u) \ w) != v5 | L(x,y,(T(z,v6) * u) \ w) = v5. [para(15113(a,1),15080(a,1))]. given #13458 (H,wt=22): 15129 L(x,y,(z \ (u * w)) * (w \ z)) = L(x,y,R(u,w,z \ 1)). [hyper(227,a,15104,a(flip),b,15101,a(flip)),flip(a)]. given #13459 (H,wt=22): 15130 L(x,y,(z \ (u * w)) * (w \ z)) = L(x,y,L(u,w,z \ 1)). [hyper(227,a,15121,a(flip),b,15129,a)]. given #13460 (H,wt=23): 15079 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,z) = u. [para(6928(a,2),15051(a,1))]. given #13461 (H,wt=23): 15105 L(x,y,(((1 / z) * u) * w) * v5) = L(x,y,((u / z) * w) * v5). [para(629(a,1),15063(a,1,3,1,1))]. given #13462 (H,wt=21): 15131 L(x,y,z \ (u * (w * z))) = L(x,y,((u / z) * w) * z). [para(904(a,1),15105(a,1,3))]. given #13463 (H,wt=23): 15110 L(x,y,(z \ ((1 / u) \ w)) * v5) = L(x,y,(z \ (w * u)) * v5). [para(621(a,1),15090(a,1,3,1,2)),flip(a)]. given #13464 (H,wt=24): 15114 L(x,y,((z \ 1) * u) \ (z \ (u * w))) = L(x,y,L(w,u,z \ 1)). [para(28(a,2),15111(a,1,3)),flip(a)]. given #13465 (H,wt=24): 15116 L(x,y \ z,y \ z) != u | L(x,z * (1 / y),z * (y \ 1)) = u. [para(12230(a,1),15074(a,1))]. given #13466 (H,wt=25): 15125 L(x,y,(((1 / z) * u) * w) \ v5) = L(x,y,(w * T(u / z,v6)) \ v5). [para(629(a,1),15115(a,1,3,1,1))]. given #13467 (H,wt=23): 15133 L(x,y,(z * T(u / w,v5)) \ v6) = L(x,y,(z \ (u \ w)) * v6). [hyper(227,a,12087,a(flip),b,15125,a(flip))]. given #13468 (H,wt=21): 15134 L(x,y,(z * (u / w)) \ v5) = L(x,y,(z \ (u \ w)) * v5). [para(112(a,1),15133(a,1,3,1,2))]. given #13469 (H,wt=21): 15135 L(x,y,(z * (u \ w)) \ v5) = L(x,y,(z \ (w \ u)) * v5). [para(115(a,1),15133(a,1,3,1,2))]. given #13470 (H,wt=21): 15136 L(x,y,((z \ u) * w) \ v5) = L(x,y,(w \ (u \ z)) * v5). [hyper(15080,a,15135,a)]. given #13471 (H,wt=24): 15137 L(x,y,(z \ (1 \ u)) * (u \ (z * w))) = L(x,y,L(w,z,u \ 1)). [hyper(227,a,15114,a(flip),b,15136,a(flip))]. given #13472 (H,wt=22): 15138 L(x,y,(z \ u) * (u \ (z * w))) = L(x,y,L(w,z,u \ 1)). [para(50(a,1),15137(a,1,3,1,2))]. given #13473 (H,wt=22): 15139 L(x,y,(z \ (u * w)) * (u \ z)) = L(x,y,L(w,u,z \ 1)). [hyper(14784,a,15138,a)]. given #13474 (H,wt=24): 15140 L(x,y,z \ (u \ ((u * z) * w))) = L(x,y,L(w,u * z,u \ 1)). [hyper(227,a,15127,a(flip),b,15138,a(flip)),flip(a)]. given #13475 (H,wt=21): 15144 L(x,y,L(z,u * w,u \ 1)) = L(x,y,z * a(u,w,z)). [para(14328(a,1),15140(a,1,3)),flip(a)]. given #13476 (H,wt=24): 15142 L(x,y,L(z,u / z,w \ 1)) = L(x,y,(w \ u) * ((u / z) \ w)). [para(16(a,1),15139(a,1,3,1,2)),flip(a)]. given #13477 (H,wt=26): 15045 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [para(14445(a,1),14854(a,1,1))]. given #13478 (H,wt=22): 15145 L(L(x,y,K(z,u)),K(z,u) * y,w) = L(x,y,w * K(z,u)). [hyper(1158,a,15045,a)]. given #13479 (H,wt=17): 15146 L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). [para(14394(a,1),15145(a,1,1))]. given #13480 (H,wt=13): 15148 L(x,K(y,z) * u,w) = L(x,u,w). [hyper(227,a,15052,a(flip),b,15146,a)]. given #13481 (H,wt=13): 15152 L(x,y * K(z,u),w) = L(x,y,w). [hyper(13758,a,15148,a)]. given #13482 (H,wt=13): 15159 L(x,(y \ z) * y,u) = L(x,z,u). [para(4942(a,1),15148(a,1,2))]. given #13483 (H,wt=13): 15160 L(x,y * z,u) = L(x,z * y,u). [para(4948(a,1),15148(a,1,2))]. given #13484 (H,wt=15): 15161 L(x,y * T(z,u),w) = L(x,y * z,w). [para(5467(a,1),15148(a,1,2))]. given #13485 (H,wt=15): 15162 L(x,T(y,z) \ u,w) = L(x,y \ u,w). [para(5788(a,1),15148(a,1,2)),flip(a)]. given #13486 (H,wt=15): 15177 L(x,(y \ 1) * z,u) = L(x,y \ z,u). [hyper(14809,a,15160,a),flip(a)]. given #13487 (H,wt=15): 15180 L(x,(y \ 1) \ z,u) = L(x,z * y,u). [para(788(a,1),15161(a,1,2))]. given #13488 (H,wt=17): 15163 L(x,(y / z) \ u,w) = L(x,(z \ y) \ u,w). [para(5807(a,1),15148(a,1,2))]. given #13489 (H,wt=17): 15164 L(x,(y / z) * u,w) = L(x,(z \ y) * u,w). [para(6194(a,1),15148(a,1,2))]. given #13490 (H,wt=15): 15185 L(x,(1 / y) * z,u) = L(x,y \ z,u). [hyper(227,a,15177,a(flip),b,15164,a)]. given #13491 (H,wt=17): 15175 L(x,y * (z * K(u,w)),v5) = L(x,y * z,v5). [para(11369(a,1),15152(a,1,2))]. given #13492 (H,wt=18): 15178 L(x,(y \ 1) * z,u) != w | L(x,y \ z,u) = w. [para(15160(a,1),14809(a,1))]. given #13493 (H,wt=19): 15179 L(x,y * ((1 / z) \ u),w) = L(x,y * (u * z),w). [para(621(a,1),15161(a,1,2,2)),flip(a)]. given #13494 (H,wt=19): 15182 L(x,((1 / y) * z) \ u,w) = L(x,(z / y) \ u,w). [para(629(a,1),15162(a,1,2,1))]. given #13495 (H,wt=19): 15184 L(x,y * ((1 / z) * u),w) = L(x,(u \ z) \ y,w). [para(250(a,1),15180(a,1,2,1)),flip(a)]. given #13496 (H,wt=19): 15186 L(x,(y / z) * (u \ 1),w) = L(x,u \ (z \ y),w). [hyper(227,a,14646,a(flip),b,15164,a)]. given #13497 (H,wt=19): 15188 L(x,y * (z \ T(u,w)),v5) = L(x,y * (z \ u),v5). [para(2420(a,1),15175(a,1,2,2))]. given #13498 (H,wt=19): 15190 L(x,((1 / y) * z) \ u,w) = L(x,(y \ z) \ u,w). [hyper(227,a,15163,a(flip),b,15182,a)]. given #13499 (H,wt=17): 15191 L(x,(y \ z) \ u,w) = L(x,u * (z \ y),w). [hyper(227,a,14648,a(flip),b,15190,a(flip))]. given #13500 (H,wt=17): 15192 L(x,(y \ z) \ u,w) = L(x,(z \ y) * u,w). [hyper(227,a,15160,a,b,15191,a)]. given #13501 (H,wt=19): 15195 L(x,y * ((1 / z) * u),w) = L(x,(z \ u) * y,w). [hyper(227,a,15184,a,b,15192,a(flip)),flip(a)]. given #13502 (H,wt=19): 15196 L(x,((y \ 1) \ z) * u,w) = L(x,u * (y * z),w). [para(62(a,1),15195(a,1,2,2,1)),flip(a)]. given #13503 (H,wt=19): 15197 L(x,y * ((z \ 1) \ u),w) = L(x,y * (z * u),w). [hyper(227,a,15160,a,b,15196,a(flip)),flip(a)]. given #13504 (H,wt=21): 15189 L(x,(y * (1 / z)) \ u,w) = L(x,u * ((y \ 1) * z),w). [hyper(14957,a,15179,a)]. given #13505 (H,wt=25): 15193 L(x,(T(y,z) * (1 / z)) \ u,w) = L(x,u * (y \ T(z,z \ 1)),w). [para(1555(a,1),15191(a,1,2,1))]. given #13506 (H,wt=25): 15198 L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * ((T(z,u) \ 1) * u),w). [hyper(227,a,15189,a(flip),b,15193,a(flip))]. given #13507 (H,wt=25): 15199 L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * T((z \ 1) * u,u),w). [para(1569(a,2),15198(a,2,2,2))]. given #13508 (H,wt=23): 15200 L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * ((z \ 1) * u),w). [hyper(227,a,15161,a(flip),b,15199,a)]. given #13509 (H,wt=19): 15202 L(x,y * ((z \ 1) * u),w) = L(x,y * (z \ u),w). [hyper(227,a,15188,a(flip),b,15200,a(flip))]. given #13510 (H,wt=26): 15141 L(x,y,L(z,u,((u * z) * w) \ 1)) = L(x,y,w \ (u \ ((u * z) * w))). [hyper(227,a,15127,a(flip),b,15139,a(flip))]. given #13511 (H,wt=26): 15143 L(x,y,((z * u) \ (u * w)) * T(z,u)) = L(x,y,L(w,u,(z * u) \ 1)). [para(32(a,2),15139(a,1,3,2))]. given #13512 (H,wt=24): 15205 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,(z * u) \ 1)). [hyper(15070,a,15143,a)]. given #13513 (H,wt=24): 15206 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,u \ (z \ 1))). [para(123(a,1),15205(a,2,3,3))]. given #13514 (H,wt=24): 15207 L(x,y,((z * u) \ (u * w)) * z) = L(x,y,L(w,u,u \ (z \ 1))). [hyper(14784,a,15206,a)]. given #13515 (H,wt=26): 15204 L(x,y,L(z,u,w \ ((u * z) \ 1))) = L(x,y,w \ (u \ ((u * z) * w))). [para(123(a,1),15141(a,1,3,3))]. given #13516 (H,wt=26): 15209 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,w \ (u \ ((u * z) * w))). [para(123(a,1),15204(a,1,3,3,2))]. given #13517 (H,wt=27): 14930 K(x \ (y \ x),z) * T(z,T(y \ z,x)) != u | L(z,x \ (y \ x),z) = u. [para(10632(a,1),14920(a,1,2))]. given #13518 (H,wt=27): 14977 (x * a(y,z,u)) * u != w * v5 | w \ (x * (z \ (y \ ((y * z) * u)))) = v5. [para(14948(a,2),457(a,1))]. given #13519 (H,wt=27): 15132 L(x,y,z * ((u * z) \ ((1 / w) \ 1))) = L(x,y,(u \ (z * w)) * (z \ 1)). [para(1771(a,1),15110(a,1,3))]. given #13520 (H,wt=23): 15211 L(x,y,(z \ (u * w)) * (u \ 1)) = L(x,y,u * ((z * u) \ w)). [para(65(a,1),15132(a,1,3,2,2)),flip(a)]. given #13521 (H,wt=21): 15212 L(x,y,z \ (u \ (z * w))) = L(x,y,z * ((u * z) \ w)). [hyper(14804,a,15211,a)]. given #13522 (H,wt=27): 15208 L(x,y,L(z,u,u \ (w \ 1))) != v5 | L(x,y,w * ((w * u) \ (u * z))) = v5. [para(15207(a,1),14784(a,1))]. given #13523 (H,wt=28): 14855 (x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w) = a(x,y * K(z,u),w). [para(14445(a,1),24(a,2,1,2)),flip(a)]. given #13524 (H,wt=28): 14856 (x * (K(y,z) * (u * w))) \ (((x * K(y,z)) * u) * w) = a(x * K(y,z),u,w). [para(14445(a,1),24(a,2,1)),flip(a)]. given #13525 (H,wt=28): 15119 L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w * (1 / (z * u))) \ ((1 / u) * w)). [para(335(a,1),15097(a,1,3,2,1)),flip(a)]. given #13526 (H,wt=26): 15215 L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w * (1 / (z * u))) \ (u \ w)). [hyper(227,a,15112,a(flip),b,15119,a)]. given #13527 (H,wt=26): 15216 L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w \ (1 \ (z * u))) * (u \ w)). [hyper(227,a,15134,a(flip),b,15215,a)]. given #13528 (H,wt=24): 15217 L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w \ (z * u)) * (u \ w)). [para(50(a,1),15216(a,2,3,1,2))]. given #13529 (H,wt=21): 15218 L(x,y,L(z,1 / (z * u),w)) = L(x,y,L(z,u,w \ 1)). [hyper(227,a,15130,a(flip),b,15217,a)]. given #13530 (H,wt=21): 15219 L(x,y,L(z,(z * u) \ 1,w)) = L(x,y,L(z,u,w \ 1)). [para(10691(a,1),15218(a,1,3))]. given #13531 (H,wt=21): 15220 L(x,y,L(z,z \ u,w \ 1)) = L(x,y,L(z,u \ 1,w)). [para(14(a,1),15219(a,1,3,2,1)),flip(a)]. given #13532 (H,wt=21): 15221 L(x,y,L(z,u \ (z \ 1),w)) = L(x,y,L(z,u,w \ 1)). [para(123(a,1),15219(a,1,3,2))]. given #13533 (H,wt=21): 15222 L(x,y,L(z,u \ 1,w \ 1)) = L(x,y,L(z,z \ u,w)). [para(4581(a,1),15220(a,1,3)),flip(a)]. given #13534 (H,wt=19): 15224 L(x,y,L(z,z \ u,w)) = L(x,y,L(z,w,u \ 1)). [hyper(227,a,15122,a(flip),b,15222,a(flip))]. given #13535 (H,wt=17): 15226 L(x,y,L(z,z \ u,w)) = L(x,y,L(z,u,w)). [hyper(227,a,15122,a(flip),b,15224,a)]. given #13536 (H,wt=21): 15223 L(x,y,L(z,u / z,w \ 1)) = L(x,y,L(z,u \ 1,w)). [para(9802(a,2),15220(a,1,3))]. given #13537 (H,wt=21): 15225 L(x,y,L(z,z \ (u \ 1),w)) = L(x,y,L(z,u,w \ 1)). [para(10689(a,1),15222(a,1,3)),flip(a)]. given #13538 (H,wt=22): 15227 L(x,y,(z \ u) * ((u / w) \ z)) = L(x,y,L(w,u \ 1,z)). [hyper(227,a,15142,a(flip),b,15223,a(flip)),flip(a)]. given #13539 (H,wt=25): 15228 L(x,y,L(z,z \ (u \ (w \ 1)),v5)) = L(x,y,L(z,w * u,v5 \ 1)). [para(123(a,1),15225(a,1,3,2,2))]. given #13540 (H,wt=28): 15210 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,w \ ((1 / u) * ((u * z) * w))). [hyper(227,a,15112,a,b,15209,a)]. given #13541 (H,wt=28): 15213 (x * (y * (K(z,u) * w))) \ ((x * y) * (K(z,u) * w)) = a(x,y * K(z,u),w). [para(14864(a,1),14855(a,1,2))]. given #13542 (H,wt=17): 15231 a(x,y * K(z,u),w) = a(x,y,K(z,u) * w). [hyper(825,a,15213,a),flip(a)]. given #13543 (H,wt=18): 15233 a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. [para(15231(a,2),10922(a,1))]. given #13544 (H,wt=21): 15232 a(x,K(y,z) * u,K(z,y) * w) = a(x,T(u,K(z,y)),w). [para(5130(a,1),15231(a,1,2)),flip(a)]. given #13545 (H,wt=28): 15214 (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x * K(y,z),u,w). [para(14445(a,1),14856(a,1,2,1))]. given #13546 (H,wt=28): 15229 L(x,y,(z \ (z / u)) * (z \ ((z * w) * u))) = L(x,y,L(w,(z / u) \ 1,z)). [para(1883(a,1),15227(a,1,3,2))]. given #13547 (H,wt=28): 15230 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,(((1 / u) / w) * (u * z)) * w). [hyper(227,a,15131,a(flip),b,15210,a)]. given #13548 (H,wt=28): 15234 L(x,y,(z \ (u \ z)) * (z \ ((z * w) * u))) = L(x,y,L(w,(z / u) \ 1,z)). [hyper(227,a,15109,a(flip),b,15229,a(flip)),flip(a)]. given #13549 (H,wt=24): 15236 L(x,y,z \ (u \ ((u * w) * z))) = L(x,y,L(w,(u / z) \ 1,u)). [hyper(15103,a,15234,a)]. given #13550 (H,wt=22): 15238 L(x,y,z \ (u \ ((u * w) * z))) = L(x,y,L(w,u \ z,u)). [para(14649(a,1),15236(a,2,3))]. given #13551 (H,wt=23): 15239 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,L(z,u \ w,u)). [hyper(227,a,15209,a,b,15238,a(flip)),flip(a)]. given #13552 (H,wt=28): 15235 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,((1 / (w * u)) * (u * z)) * w). [para(325(a,1),15230(a,2,3,1,1))]. given #13553 (H,wt=26): 15240 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,((w * u) \ (u * z)) * w). [hyper(227,a,15106,a(flip),b,15235,a)]. given #13554 (H,wt=25): 15241 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,L(z,u,u \ (w \ 1))). [hyper(227,a,15207,a(flip),b,15240,a)]. given #13555 (H,wt=21): 15242 L(x,y,L(z,u,u \ (w \ 1))) = L(x,y,L(z,u \ w,u)). [hyper(227,a,15239,a(flip),b,15241,a(flip))]. given #13556 (H,wt=23): 15243 L(x,y,L(z,u \ (w \ v5),u)) = L(x,y,L(z,u,u \ (v5 \ w))). [para(15124(a,1),15242(a,1,3)),flip(a)]. given #13557 (H,wt=25): 15244 L(x,y,L(z,u \ w,u)) != v5 | L(x,y,w * ((w * u) \ (u * z))) = v5. [para(15242(a,1),15208(a,1))]. given #13558 (H,wt=25): 15245 L(x,y,L(z,(1 / u) * (w \ v5),u)) = L(x,y,L(z,u,u \ (v5 \ w))). [para(15185(a,2),15243(a,1,3))]. given #13559 (H,wt=23): 15246 L(x,y,L(z,(1 / u) * (w \ 1),u)) = L(x,y,L(z,u,u \ w)). [para(50(a,1),15245(a,2,3,3,2))]. given #13560 (H,wt=21): 15247 L(x,y,L(z,u \ (w \ 1),w)) = L(x,y,L(z,w,w \ u)). [para(15186(a,1),15246(a,1,3))]. given #13561 (H,wt=29): 14979 (x * (y * z)) \ ((x * y) * (R(1 / L(z,y,x),u,w) \ 1)) = a(u,w,L(z,y,x)). [para(100(a,1),14978(a,1,1))]. given #13562 (H,wt=25): 15249 (x * (y * z)) \ ((x * y) * R(L(z,y,x),u,w)) = a(u,w,L(z,y,x)). [para(13832(a,1),14979(a,1,2,2))]. given #13563 (H,wt=22): 15250 (x * (y * z)) \ (x * (y * R(z,u,w))) = a(u,w,L(z,y,x)). [para(469(a,1),15249(a,1,2))]. given #13564 (H,wt=22): 15251 (x * (y * z)) \ (x * (y * L(z,u,w))) = a(u,w,L(z,y,x)). [para(13889(a,1),15250(a,1,2,2,2))]. given #13565 (H,wt=30): 14896 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) != v5 | L(L(w,u,z),v6,K(v7,v8)) = v5. [para(8182(a,2),14760(a,1))]. given #13566 (H,wt=30): 14966 (x * ((y \ z) * y)) \ (x * ((L(y,u,w) \ z) * y)) = L(a(w,u,y),(y \ z) * y,x). [para(14952(a,1),28(a,2,2,2)),flip(a)]. given #13567 (H,wt=26): 15252 (x * ((y \ z) * y)) \ (x * ((L(y,u,w) \ z) * y)) = L(a(w,u,y),z,x). [hyper(227,a,15159,a(flip),b,14966,a)]. given #13568 (H,wt=26): 15254 (x * ((y \ z) * y)) \ (x * ((y \ z) * L(y,u,w))) = L(a(u,w,y),z,x). [para(14949(a,1),15252(a,1,2,2))]. given #13569 (H,wt=17): 15255 a(x,y,L(z,z \ u,w)) = L(a(x,y,z),u,w). [hyper(227,a,15251,a(flip),b,15254,a(flip)),flip(a)]. given #13570 (H,wt=31): 14825 (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) != v5 | a(x,K(y,z) * u,w) = v5. [para(14430(a,1),825(a,1,1,2))]. given #13571 (H,wt=20): 15256 a(x * K(y,z),u,w) != v5 | a(x,K(y,z) * u,w) = v5. [para(15214(a,1),14825(a,1))]. given #13572 (H,wt=31): 15248 L(x,y,L(z,(u \ ((w \ 1) \ 1)) \ (z \ 1),w)) = L(x,y,L(z,w \ 1,(w \ 1) \ u)). [hyper(227,a,15221,a,b,15247,a(flip)),flip(a)]. given #13573 (H,wt=31): 15257 L(x,y,L(z,(z \ 1) * (((u \ 1) \ 1) \ w),u)) = L(x,y,L(z,u \ 1,(u \ 1) \ w)). [para(15191(a,1),15248(a,1,3))]. given #13574 (H,wt=29): 15258 L(x,y,L(z,(z \ 1) * ((u \ 1) * w),u)) = L(x,y,L(z,u \ 1,(u \ 1) \ w)). [para(15197(a,1),15257(a,1,3))]. given #13575 (H,wt=27): 15259 L(x,y,L(z,u \ 1,(u \ 1) \ w)) = L(x,y,L(z,(z \ 1) * (u \ w),u)). [para(15202(a,1),15258(a,1,3)),flip(a)]. given #13576 (H,wt=25): 15260 L(x,y,L(z,u \ 1,(u \ 1) \ w)) = L(x,y,L(z,z \ (u \ w),u)). [para(15177(a,1),15259(a,2,3))]. given #13577 (H,wt=23): 15261 L(x,y,L(z,u \ 1,u * w)) = L(x,y,L(z,z \ (u \ w),u)). [para(12082(a,1),15260(a,1,3))]. given #13578 (H,wt=21): 15263 L(x,y,L(z,z \ (u \ w),u)) = L(x,y,L(z,u * w,u)). [hyper(227,a,15123,a(flip),b,15261,a(flip))]. given #13579 (H,wt=19): 15264 L(x,y,L(z,u \ w,u)) = L(x,y,L(z,u * w,u)). [hyper(227,a,15226,a(flip),b,15263,a(flip)),flip(a)]. given #13580 (H,wt=22): 15265 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u * z,u)). [hyper(15244,a,15264,a)]. given #13581 (H,wt=25): 15262 L(x,y,L(z,u \ 1,u * (w \ 1))) = L(x,y,L(z,w * u,u \ 1)). [hyper(227,a,15228,a(flip),b,15261,a)]. given #13582 (H,wt=23): 15267 L(x,y,L(z,u \ 1,w \ u)) = L(x,y,L(z,w * u,u \ 1)). [para(14601(a,1),15262(a,1,3))]. given #13583 (H,wt=21): 15268 L(x,y,L(z,u * w,w \ 1)) = L(x,y,L(z,u \ w,w)). [hyper(227,a,15123,a(flip),b,15267,a(flip))]. given #13584 (H,wt=19): 15269 L(x,y,L(z,u \ w,w)) = L(x,y,L(z,w,u * w)). [hyper(227,a,15122,a(flip),b,15268,a(flip))]. given #13585 (H,wt=19): 15271 L(x,y,L(z,u,(w \ u) * u)) = L(x,y,L(z,w,u)). [para(14643(a,1),15269(a,1,3)),flip(a)]. given #13586 (H,wt=19): 15272 L(x,y,L(z,u * w,u)) = L(x,y,L(z,u,w \ u)). [para(950(a,1),15271(a,1,3,3)),flip(a)]. given #13587 (H,wt=21): 15270 L(x,y,L(z,u * w,u \ 1)) = L(x,y,L(z,w \ u,u)). [para(15160(a,1),15268(a,1,3))]. given #13588 (H,wt=19): 15274 L(x,y,L(z,u \ w,w)) = L(x,y,z * a(w,u,z)). [hyper(227,a,15144,a(flip),b,15270,a(flip))]. given #13589 (H,wt=19): 15275 L(x,y,L(z,u,w * u)) = L(x,y,z * a(u,w,z)). [hyper(227,a,15269,a(flip),b,15274,a(flip)),flip(a)]. given #13590 (H,wt=17): 15276 L(x,y,L(z,u,w * u)) = L(x,y,L(z,u,w)). [para(13894(a,2),15275(a,2,3))]. given #13591 (H,wt=17): 15277 L(x,y,L(z,u,w \ u)) = L(x,y,L(z,w,u)). [hyper(227,a,15271,a(flip),b,15276,a(flip))]. given #13592 (H,wt=22): 15273 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,z \ u)). [hyper(227,a,15265,a,b,15272,a(flip)),flip(a)]. given #13593 (H,wt=20): 15278 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,z,u)). [hyper(227,a,15277,a(flip),b,15273,a)]. given #13594 (H,wt=25): 15266 L(x,y,L(z,u * w,u)) != v5 | L(x,y,w * ((w * u) \ (u * z))) = v5. [para(15264(a,1),15244(a,1))]. given #13595 (H,wt=34): 14982 a(x,y,(((z \ u) \ 1) * w) \ (((z \ 1) \ 1) * w)) = a(x,y,R(u \ 1,(z \ 1) \ 1,w) \ 1). [para(257(a,1),14879(a,1,3,1,1))]. given #13596 (H,wt=43): 14921 L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = ((x \ z) * (u * w)) \ (K(x,y) * (((T(x,y) \ z) * u) * w)). [para(14828(a,1),484(a,1,1)),flip(a)]. given #13597 (H,wt=37): 15280 L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = ((x \ z) * (u * w)) \ (((x \ z) * u) * w). [para(14922(a,1),14921(a,2,2))]. given #13598 (H,wt=28): 15282 L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = a(x \ z,u,w). [hyper(227,a,24,a,b,15280,a)]. given #13599 (H,wt=15): 15285 a(T(x,y) \ z,u,w) = a(x \ z,u,w). [hyper(14743,a,15282,a),flip(a)]. given #13600 (H,wt=19): 15286 a(x \ (y * T(x,z)),u,w) = a(T(y,T(x,z)),u,w). [para(32(a,2),15285(a,1,1)),flip(a)]. given #13601 (H,wt=15): 15287 a(x \ (y * T(x,z)),u,w) = a(y,u,w). [hyper(227,a,14579,a(flip),b,15286,a)]. given #13602 (H,wt=15): 15289 a(T(x * K(y,z),y),u,w) = a(x,u,w). [para(6009(a,1),15287(a,1,1))]. given #13603 (H,wt=13): 15290 a(x * K(y,z),u,w) = a(x,u,w). [hyper(14889,a,15289,a)]. given #13604 (H,wt=13): 15291 a(x,K(y,z) * u,w) = a(x,u,w). [hyper(15256,a,15290,a)]. given #13605 (H,wt=15): 15294 a(x \ K(y,z),u,w) = a(x \ 1,u,w). [para(5105(a,1),15290(a,1,1)),flip(a)]. given #13606 (H,wt=15): 15296 a(T(x,y),z,u) = a(x,K(w,v5) * z,u). [hyper(14889,a,15291,a),flip(a)]. given #13607 (H,wt=16): 15310 a(x,K(y,z) * u,w) != v5 | a(x,u,w) = v5. [para(15296(a,1),14889(a,1))]. given #13608 (H,wt=14): 15311 a(x,T(y,z),u) != w | a(x,y,u) = w. [para(2201(a,2),15310(a,1,2))]. given #13609 (H,wt=14): 15312 a(x,y,z) != u | a(x,T(y,w),z) = u. [para(4970(a,1),15310(a,1,2))]. given #13610 (H,wt=16): 15313 a(x,y / z,u) != w | a(x,z \ y,u) = w. [para(5020(a,1),15310(a,1,2))]. given #13611 (H,wt=16): 15322 a(x,T(y,z),u) != w | a(x,y,T(u,v5)) = w. [para(14574(a,1),15311(a,1))]. given #13612 (H,wt=17): 15298 a(x,T(y,K(z,u)),w) = a(x,y,K(z,u) * w). [hyper(227,a,15232,a(flip),b,15291,a(flip)),flip(a)]. given #13613 (H,wt=13): 15329 a(x,y,K(z,u) * w) = a(x,y,w). [hyper(15311,a,15298,a),flip(a)]. given #13614 (H,wt=13): 15336 a(x,y,z * K(u,w)) = a(x,y,z). [para(6065(a,1),15329(a,1,3))]. given #13615 (H,wt=15): 15335 a(x,y,T(z,u) \ w) = a(x,y,z \ w). [para(5788(a,1),15329(a,1,3)),flip(a)]. given #13616 (H,wt=15): 15337 a(x,y,z \ T(u,w)) = a(x,y,z \ u). [para(6718(a,1),15329(a,1,3)),flip(a)]. given #13617 (H,wt=16): 15331 a(x,y,K(z,u) * w) != v5 | a(x,y,w) = v5. [para(15298(a,1),15311(a,1))]. given #13618 (H,wt=16): 15345 a(x,y,z * u) != w | a(x,y,u * z) = w. [para(4948(a,1),15331(a,1,3))]. given #13619 (H,wt=16): 15346 a(x,y,(z \ u) \ u) != w | a(x,y,z) = w. [para(5055(a,2),15331(a,1,3))]. given #13620 (H,wt=17): 15304 a(x,((y \ z) \ z) * u,w) = a(x,y * u,w). [para(5825(a,1),15291(a,1,2))]. given #13621 (H,wt=15): 15354 a(x,(y \ 1) \ z,u) = a(x,y * z,u). [hyper(13454,a,15304,a)]. given #13622 (H,wt=15): 15355 a(x,y * ((y \ 1) * z),u) = a(x,z,u). [para(13(a,1),15354(a,1,2)),flip(a)]. given #13623 (H,wt=15): 15356 a(x,(y * z) \ y,u) = a(x,z \ 1,u). [para(1345(a,1),15355(a,1,2))]. given #13624 (H,wt=16): 15357 a(x,L(y \ 1,y,z),u) = a(x,y \ 1,u). [para(156(a,2),15356(a,1,2))]. given #13625 (H,wt=17): 15338 a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). [para(14923(a,1),15329(a,1,3))]. given #13626 (H,wt=17): 15339 a(x,y,z * (u * w)) = a(x,y,z * (w * u)). [para(7792(a,1),15336(a,1,3))]. given #13627 (H,wt=17): 15340 a(x,y,z * (u * K(w,v5))) = a(x,y,z * u). [para(11369(a,1),15336(a,1,3))]. given #13628 (H,wt=17): 15342 a(x,y,z \ (u / w)) = a(x,y,z \ (w \ u)). [para(115(a,1),15337(a,1,3,2)),flip(a)]. given #13629 (H,wt=17): 15362 a(x,y,(z * u) * w) = a(x,y,w * (u * z)). [hyper(15345,a,15339,a)]. given #13630 (H,wt=18): 15316 a(x,T(y,z) \ u,w) != v5 | a(x,y \ u,w) = v5. [para(6421(a,1),15310(a,1,2))]. given #13631 (H,wt=18): 15321 a(x,(y * z) \ z,u) != w | a(x,y \ 1,u) = w. [para(1193(a,1),15311(a,1,2))]. given #13632 (H,wt=18): 15348 a(x,y,T(z,u) \ w) != v5 | a(x,y,z \ w) = v5. [para(6421(a,1),15331(a,1,3))]. given #13633 (H,wt=19): 15341 a(x,y,((1 / z) * u) \ w) = a(x,y,(u / z) \ w). [para(629(a,1),15335(a,1,3,1))]. given #13634 (H,wt=17): 15370 a(x,y,(z / u) \ w) = a(x,y,w * (z \ u)). [hyper(227,a,14616,a(flip),b,15341,a(flip))]. given #13635 (H,wt=19): 15343 a(x,y,z \ ((1 / u) \ w)) = a(x,y,z \ (w * u)). [para(621(a,1),15337(a,1,3,2)),flip(a)]. given #13636 (H,wt=19): 15344 a(x,y,z \ (u / (u * (1 / w)))) = a(x,y,z \ w). [para(1658(a,1),15337(a,1,3,2))]. given #13637 (H,wt=19): 15361 a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5). [para(14812(a,1),15338(a,1,3)),flip(a)]. given #13638 (H,wt=19): 15363 a(x,y,z * (u \ T(w,v5))) = a(x,y,z * (u \ w)). [para(2420(a,1),15340(a,1,3,2))]. given #13639 (H,wt=19): 15373 a(x,y,z \ ((u * (1 / w)) \ u)) = a(x,y,z \ w). [hyper(227,a,15342,a(flip),b,15344,a(flip)),flip(a)]. given #13640 (H,wt=19): 15376 a(x,y,z \ ((u \ 1) \ w)) = a(x,y,z \ (u * w)). [para(1352(a,1),15373(a,1,3,2))]. given #13641 (H,wt=19): 15377 a(x,y,z \ ((1 / u) * w)) = a(x,y,z \ (u \ w)). [para(65(a,1),15376(a,1,3,2,1)),flip(a)]. given #13642 (H,wt=20): 15349 a(x,y,(z * u) \ w) != v5 | a(x,y,(u * z) \ w) = v5. [para(11057(a,1),15331(a,1,3))]. given #13643 (H,wt=21): 15305 R(K(x,y) / x,z,u) * y = (y / x) * a(x \ 1,z,u). [para(15294(a,1),15015(a,1,2)),flip(a)]. given #13644 (H,wt=19): 15378 R(K(x,y) / x,z,u) * y = a(z,u,x) \ (y / x). [hyper(227,a,14875,a(flip),b,15305,a)]. given #13645 (H,wt=19): 15380 L(K(x,y) / x,z,u) * y = a(z,u,x) \ (y / x). [para(13889(a,1),15378(a,1,1))]. given #13646 (H,wt=17): 15381 L(K(x,y) / x,z,u) * y = y / L(x,z,u). [hyper(227,a,14975,a(flip),b,15380,a)]. given #13647 (H,wt=21): 15360 a(x,y,z \ ((u / w) * v5)) = a(x,y,z \ ((w \ u) * v5)). [para(6194(a,1),15338(a,1,3,2))]. given #13648 (H,wt=19): 15382 a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (u \ w)). [hyper(227,a,15377,a(flip),b,15360,a(flip))]. given #13649 (H,wt=21): 15371 a(x,y,((1 / z) / u) \ w) = a(x,y,w * (1 \ (u * z))). [para(325(a,2),15370(a,1,3,1))]. given #13650 (H,wt=19): 15384 a(x,y,((1 / z) / u) \ w) = a(x,y,w * (u * z)). [para(50(a,1),15371(a,2,3,2))]. given #13651 (H,wt=19): 15385 a(x,y,z * ((1 / u) \ w)) = a(x,y,z * (w * u)). [hyper(227,a,15370,a(flip),b,15384,a(flip)),flip(a)]. given #13652 (H,wt=21): 15374 a(x,y,((z / u) * w) \ v5) = a(x,y,v5 * (w \ (z \ u))). [hyper(227,a,14963,a(flip),b,15361,a(flip))]. given #13653 (H,wt=21): 15386 a(x,y,(z * (1 / u)) \ w) = a(x,y,w * ((z \ 1) * u)). [hyper(227,a,14618,a(flip),b,15385,a(flip)),flip(a)]. given #13654 (H,wt=22): 15350 a(x,y,(z * (u \ 1)) * w) != v5 | a(x,y,(u \ z) * w) = v5. [para(14832(a,1),15331(a,1,3))]. given #13655 (H,wt=22): 15353 a(x,y,L(z \ 1,u,w) \ 1) != v5 | a(x,y,L(z,u,w)) = v5. [para(13064(a,2),15346(a,1,3,1))]. given #13656 (H,wt=22): 15369 a(x,y,((1 / z) \ u) \ w) != v5 | a(x,y,(u * z) \ w) = v5. [para(1209(a,1),15348(a,1,3,1))]. given #13657 (H,wt=22): 15389 a(x,y,z * ((u \ 1) * w)) != v5 | a(x,y,(u \ w) * z) = v5. [para(15362(a,1),15350(a,1))]. given #13658 (H,wt=23): 15375 a(x,y,(T(z \ u,z) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). [hyper(227,a,14964,a,b,15363,a(flip)),flip(a)]. given #13659 (H,wt=21): 15391 a(x,y,((z \ u) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). [hyper(227,a,15361,a(flip),b,15375,a(flip)),flip(a)]. given #13660 (H,wt=21): 15392 a(x,y,(z * (u \ w)) \ v5) = a(x,y,v5 * (z \ (w \ u))). [hyper(15349,a,15391,a)]. given #13661 (H,wt=24): 15388 a(x,1 / y,z * ((x \ 1) * y)) = (x * ((x \ (z / y)) * y)) \ z. [hyper(227,a,2605,a(flip),b,15386,a(flip))]. given #13662 (H,wt=24): 15395 a(x,y \ 1,z * ((x \ 1) * y)) = (x * ((x \ (z / y)) * y)) \ z. [hyper(15313,a,15388,a)]. given #13663 (H,wt=22): 15396 (x * ((x \ (y / z)) * z)) \ y = a(x,z \ 1,(x \ z) * y). [hyper(15389,a,15395,a),flip(a)]. given #13664 (H,wt=19): 15397 a(x,y \ 1,(x \ y) * z) = a(x,x \ (z / y),y). [hyper(15014,a,15396,a),flip(a)]. given #13665 (H,wt=19): 15398 a(x,y \ 1,z * (x \ y)) = a(x,x \ (z / y),y). [hyper(15345,a,15397,a)]. given #13666 (H,wt=25): 15352 a(x,y,((z \ u) * w) \ (u * w)) != v5 | a(x,y,R(z,z \ u,w)) = v5. [para(491(a,1),15346(a,1,3,1))]. given #13667 (H,wt=25): 15399 a(x,y,(z * u) * (u \ (z \ w))) != v5 | a(x,y,R(w,w \ z,u)) = v5. [para(15391(a,1),15352(a,1))]. given #13668 (H,wt=26): 15366 a(T(x,y),T(z,u) \ w,R(x,v5,v6)) != v7 | a(x,z \ w,R(x,v5,v6)) = v7. [para(11709(a,2),15316(a,1))]. given #13669 (H,wt=26): 15372 a(x,y,((1 / z) \ (u / w)) \ (u * z)) = a(x,y,R(w,u \ 1,1 / z)). [para(9115(a,1),15343(a,1,3)),flip(a)]. given #13670 (H,wt=26): 15394 a(x,y,(z * L(u \ 1,u,w)) \ v5) = a(x,y,v5 * (z \ (w \ (w * u)))). [para(156(a,2),15392(a,1,3,1,2))]. given #13671 (H,wt=22): 15401 a(x,y,(z * L(u \ 1,u,w)) \ v5) = a(x,y,v5 * (z \ u)). [para(13(a,1),15394(a,2,3,2,2))]. given #13672 (H,wt=26): 15400 a(x,y,((1 / z) \ (u / w)) \ (u * z)) = a(x,y,R(w,u \ 1,z \ 1)). [para(9095(a,1),15372(a,2,3))]. given #13673 (H,wt=24): 15402 a(x,y,((z / u) * w) \ (z * w)) = a(x,y,R(u,z \ 1,w \ 1)). [hyper(15369,a,15400,a)]. given #13674 (H,wt=24): 15403 a(x,y,(z * u) * (u \ (z \ w))) = a(x,y,R(w,z \ 1,u \ 1)). [hyper(227,a,15374,a(flip),b,15402,a(flip)),flip(a)]. given #13675 (H,wt=21): 15404 a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,R(z,z \ u,w)). [hyper(15399,a,15403,a),flip(a)]. given #13676 (H,wt=23): 15405 a(x,y,R(z,u \ w,v5 \ 1)) = a(x,y,R(z,z \ (w \ u),v5)). [para(15044(a,1),15404(a,1,3))]. given #13677 (H,wt=23): 15406 a(x,y,R(z,z \ (u \ w),v5)) = a(x,y,L(z,w \ u,v5 \ 1)). [para(13889(a,1),15405(a,1,3)),flip(a)]. given #13678 (H,wt=23): 15407 a(x,y,L(z,u \ w,v5 \ 1)) = a(x,y,L(z,z \ (w \ u),v5)). [para(13889(a,1),15406(a,1,3)),flip(a)]. given #13679 (H,wt=21): 15408 a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z,z \ u,w)). [para(50(a,1),15407(a,2,3,2,2))]. given #13680 (H,wt=32): 15383 a(x,y,(((z \ u) \ 1) * w) \ ((z \ 1) \ w)) = a(x,y,R(u \ 1,(z \ 1) \ 1,w) \ 1). [hyper(227,a,14982,a(flip),b,15382,a(flip))]. given #13681 (H,wt=30): 15409 a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(((u \ z) \ 1) * w) \ (u * w)). [hyper(227,a,15376,a(flip),b,15383,a(flip))]. given #13682 (H,wt=30): 15410 a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(u * w) * (w \ (1 \ (u \ z)))). [hyper(227,a,15391,a(flip),b,15409,a)]. given #13683 (H,wt=28): 15411 a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(u * w) * (w \ (u \ z))). [para(50(a,1),15410(a,2,3,2,2))]. given #13684 (H,wt=27): 15412 a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,R(z,u \ 1,w \ 1)). [hyper(227,a,15403,a(flip),b,15411,a)]. given #13685 (H,wt=23): 15413 a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,R(z \ 1,u,w) \ 1). [para(10772(a,1),15412(a,1,3,1)),flip(a)]. given #13686 (H,wt=23): 15415 a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,L(z \ 1,u,w) \ 1). [para(13889(a,1),15413(a,2,3,1))]. given #13687 (H,wt=23): 15416 a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z \ 1,u,w) \ 1). [para(13889(a,1),15415(a,1,3))]. given #13688 (H,wt=19): 15417 a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z,u,w)). [hyper(227,a,14798,a(flip),b,15416,a)]. given #13689 (H,wt=17): 15418 a(x,y,L(z,z \ u,w)) = a(x,y,L(z,u,w)). [hyper(227,a,15408,a(flip),b,15417,a(flip)),flip(a)]. given #13690 (H,wt=15): 15419 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [hyper(227,a,15255,a(flip),b,15418,a(flip))]. given #13691 (H,wt=12): 15421 a(x,y,L(z,x,u)) = a(x,y,z). [hyper(227,a,14046,a(flip),b,15419,a)]. given #13692 (H,wt=15): 15420 a(x,L(y,z,u),w) = L(a(w,x,y),z,u). [hyper(13950,a,15419,a)]. given #13693 (H,wt=15): 15422 a(x,y,L(z,u,w)) = L(a(z,x,y),u,w). [para(13925(a,1),15419(a,2,1))]. given #13694 (H,wt=15): 15425 a(x,L(y,z,u),w) = a(x,y,L(w,z,u)). [hyper(227,a,15420,a,b,15422,a),flip(a)]. given #13695 (H,wt=17): 15424 a(x,y,z) * L(z,x,u) = L(L(z,x,u),x,y). [para(15421(a,1),13914(a,2,1)),flip(a)]. given #13696 (H,wt=17): 15426 a(x,y,L(z,u,w)) * x = L(x,L(y,u,w),z). [para(15425(a,1),13928(a,2,1)),flip(a)]. given #13697 (H,wt=15): 15428 L(x,L(y,z,u),w) = L(x,y,L(w,z,u)). [hyper(13935,a,15426,a),flip(a)]. given #13698 (H,wt=16): 15430 K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(15428(a,1),7304(a,1,1))]. given #13699 (H,wt=17): 15427 a(x,y,z) * L(y,z,u) = L(L(y,z,u),z,x). [para(13925(a,2),15424(a,1,1))]. given #13700 (H,wt=18): 15423 L(a(x,y,z),u,w) != v5 | a(y,L(z,u,w),x) = v5. [para(15419(a,1),13950(a,1))]. given #13701 (H,wt=18): 15429 L(x,L(y,z,u),w) != v5 | L(x,y,L(w,z,u)) = v5. [para(15426(a,1),13935(a,1))]. given #13702 (H,wt=21): 15432 x \ (y \ (x * (T(y,x) * z))) = a(x,z,y) * L(z,y,x). [hyper(227,a,14334,a,b,15427,a),flip(a)]. given #13703 (H,wt=26): 15431 L(x,y,L(z * u,z,u)) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). [para(15428(a,1),13989(a,1,1))]. given #13704 (H,wt=23): 15434 L(x,y,z * u) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). [para(11098(a,1),15431(a,1,1,3))]. given #13705 (H,wt=27): 15433 L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,z * ((w * z) \ (T(w,z) * u))). [para(15432(a,1),15212(a,1,3))]. given #13706 (H,wt=25): 15436 L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,z * ((z * w) \ (w * u))). [para(11092(a,1),15433(a,2,3,2))]. given #13707 (H,wt=20): 15437 L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,L(u,z,w)). [hyper(227,a,15278,a(flip),b,15436,a)]. given #13708 (H,wt=18): 15438 L(x,y,L(L(z,u,w),u,w)) = L(x,y,L(z,w,u)). [para(15427(a,1),15437(a,1,3))]. given #13709 (H,wt=37): 15359 x \ (a(x,y \ 1,(x * L(y \ 1,y,z)) \ u) \ u) = L(y \ 1,z,y) * ((x * L(y \ 1,y,z)) \ u). [para(15357(a,1),12980(a,1,2,1))]. given #13710 (H,wt=32): 15440 x \ (a(x,y \ 1,z * (x \ y)) \ z) = L(y \ 1,u,y) * ((x * L(y \ 1,y,u)) \ z). [para(15401(a,1),15359(a,1,2,1))]. given #13711 (H,wt=30): 15441 x \ (a(x,x \ (y / z),z) \ y) = L(z \ 1,u,z) * ((x * L(z \ 1,z,u)) \ y). [para(15398(a,1),15440(a,1,2,1))]. given #13712 (H,wt=29): 15443 x \ (x * ((x \ (y / z)) * z)) = L(z \ 1,u,z) * ((x * L(z \ 1,z,u)) \ y). [para(15013(a,1),15441(a,1,2))]. given #13713 (H,wt=25): 15444 L(x \ 1,y,x) * ((z * L(x \ 1,x,y)) \ u) = (z \ (u / x)) * x. [hyper(282,a,15443,a)]. given #13714 (H,wt=43): 15435 (L(x,y,L(z \ 1,z,u) * w) * ((y * L(z \ 1,z,u)) * w)) / (L(z \ 1,u,z) * w) = x * L(y,L(z \ 1,z,u),w). [hyper(73,a,15434,a,b,11099,a)]. given #13715 (H,wt=38): 15446 (L(x,y,z \ u) * ((y * L(z \ 1,z,w)) * u)) / (L(z \ 1,w,z) * u) = x * L(y,L(z \ 1,z,w),u). [para(15128(a,1),15435(a,1,1,1))]. given #13716 (H,wt=38): 15447 x / (L(y \ 1,z,y) * ((u * L(y \ 1,y,z)) \ (L(w,u,y \ x) \ x))) = w * L(u,L(y \ 1,y,z),x). [hyper(2572,a,15446,a)]. given #13717 (H,wt=28): 15449 x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,L(u \ 1,u,w),x). [para(15444(a,1),15447(a,1,2))]. given #13718 (H,wt=26): 15450 x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,x,L(u,u,w)). [para(13906(a,1),15449(a,2,2))]. given #13719 (H,wt=23): 15452 x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,x,u). [para(354(a,1),15450(a,2,2,3))]. given #13720 (H,wt=21): 15453 x / (((L(y,z,x) * u) \ (x / z)) * z) = y * L(u,x,z). [para(14998(a,1),15452(a,1,2,1))]. given #13721 (H,wt=16): 15454 L(L(x,y,z) * u,z,y) = x * L(u,z,y). [hyper(13996,a,15453,a)]. given #13722 (H,wt=16): 15455 L(x,y,z) * L(u,y,z) = L(x * u,y,z). [para(14321(a,1),15454(a,1,1,1)),flip(a)]. given #13723 (H,wt=23): 15456 L((K(x,L(y,z,u)) / x) * y,z,u) = L(y,z,u) / L(x,z,u). [hyper(227,a,15381,a(flip),b,15455,a(flip))]. given #13724 (H,wt=20): 15462 L((K(x,y) / x) * y,z,u) = L(y,z,u) / L(x,z,u). [para(14489(a,1),15456(a,1,1,1,1))]. given #13725 (H,wt=16): 15463 L(x,y,z) / L(u,y,z) = L(x / u,y,z). [para(5312(a,1),15462(a,1,1)),flip(a)]. given #13726 (H,wt=23): 15461 L((L(x,y,z) * u) * w,z,y) = (x * L(u,z,y)) * L(w,z,y). [para(15454(a,1),15455(a,1,1)),flip(a)]. given #13727 (H,wt=32): 15465 L((L(x,y,z) * u) * w,z,y) / (L(u,z,y) * L(w,z,y)) = L(x,L(u,z,y),L(w,z,y)). [hyper(73,a,15461,a,b,13898,a)]. given #13728 (H,wt=29): 15466 L((L(x,y,z) * u) * w,z,y) / L(u * w,z,y) = L(x,L(u,z,y),L(w,z,y)). [para(15455(a,1),15465(a,1,2))]. given #13729 (H,wt=26): 15467 L(((L(x,y,z) * u) * w) / (u * w),z,y) = L(x,L(u,z,y),L(w,z,y)). [hyper(227,a,15463,a(flip),b,15466,a(flip)),flip(a)]. given #13730 (H,wt=26): 15468 L(x / (y * ((L(z,u,w) * y) \ x)),w,u) = L(z,L(y,w,u),L(x,w,u)). [para(1182(a,1),15467(a,1,1))]. given #13731 (H,wt=21): 15469 L(L(L(x,y,z),u,w),z,y) = L(x,L(u,z,y),L(w,z,y)). [para(13895(a,2),15468(a,1,1))]. given #13732 (H,wt=15): 15470 L(x,L(y,z,u),L(w,z,u)) = L(x,y,w). [hyper(227,a,14326,a(flip),b,15469,a(flip))]. given #13733 (H,wt=15): 15471 L(x,y,L(L(z,u,w),u,w)) = L(x,y,z). [hyper(15429,a,15470,a)]. given #13734 (H,wt=12): 15473 L(x,y,L(z,u,w)) = L(x,y,z). [hyper(227,a,15438,a(flip),b,15471,a(flip)),flip(a)]. given #13735 (H,wt=15): 15477 L(x,y,L(L(z,u,w),v5,v6)) = L(x,y,z). [hyper(227,a,15473,a(flip),b,15473,a)]. given #13736 (H,wt=15): 15482 L(x,L(y,z,u),w) = L(x,y,L(w,v5,v6)). [hyper(227,a,15470,a(flip),b,15477,a(flip))]. given #13737 (H,wt=17): 15484 L(x,L(y,z,u),w) = a(x,y,L(w,v5,v6)) * x. [hyper(227,a,13928,a(flip),b,15482,a)]. given #13738 (H,wt=15): 15487 a(x,L(y,z,u),w) = a(x,y,L(w,v5,v6)). [hyper(13945,a,15484,a)]. given #13739 (H,wt=12): 15494 a(x,y,L(z,u,w)) = a(x,y,z). [para(354(a,1),15487(a,1,2)),flip(a)]. given #13740 (H,wt=12): 15496 L(a(x,y,z),u,w) = a(x,y,z). [hyper(227,a,15419,a(flip),b,15494,a(flip)),flip(a)]. -------- Proof 1 -------- "aa1". ============================== PROOF ================================= % Proof 1 at 2441.62 (+ 138.45) seconds: "aa1". % Length of proof is 12975. % Level of proof is 623. % Maximum clause weight is 65.000. % Given clauses 13740 (22.055 givens/level). 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 a(a(x,y,z),u,w) = 1 # label("aa1") # label(non_clause) # label(goal). [goal]. 11 1 * x = x. [assumption]. 12 x * 1 = x. [assumption]. 13 x \ (x * y) = y. [assumption]. 14 x * (x \ y) = y. [assumption]. 15 (x * y) / y = x. [assumption]. 16 (x / y) * y = x. [assumption]. 17 x * y != z | x * u != z | u = y. [clausify(1)]. 18 x * y != z | u * y != z | u = x. [clausify(2)]. 19 x * y != x * z | y = z. [clausify(3)]. 20 x * y != z * y | x = z. [clausify(4)]. 21 x != y | z * x = z * y. [assumption]. 22 x != y | x * z = y * z. [assumption]. 23 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 25 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 29 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 31 x \ (y * x) = T(y,x). [assumption]. 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 39 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 41 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 43 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 47 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. 48 x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. 49 a(a(c1,c2,c3),c4,c5) != 1 # label("aa1") # answer("aa1"). [deny(10)]. 50 1 \ x = x. [para(11(a,1),13(a,1,2))]. 51 x \ (1 * (x * y)) = y. [para(11(a,2),13(a,1,2))]. 52 x \ x = 1. [para(12(a,1),13(a,1,2))]. 53 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. 54 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. 55 x * (x \ (1 * y)) = y. [para(14(a,2),11(a,1))]. 56 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. 57 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. 58 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. 59 x / x = 1. [para(11(a,1),15(a,1,1))]. 60 x / 1 = x. [para(12(a,1),15(a,1,1))]. 61 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. 62 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. 63 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. 64 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. 65 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. 66 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. 67 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. 68 (((x * y) / z) * z) / y = x. [para(16(a,2),15(a,1,1))]. 69 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. 70 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. 71 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. 72 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. 73 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. 74 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. 75 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 76 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. 78 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 79 x * (x \ (y * z)) != y * u | u = z. [para(14(a,2),19(a,2)),flip(a)]. 81 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. 82 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 83 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. 84 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. 85 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 86 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 87 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. 88 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 89 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 90 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 91 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). [para(14(a,1),24(a,2,2)),flip(a)]. 92 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. 93 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. 94 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. 95 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. 96 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. 97 x \ (1 * (x * y)) = L(y,x,1). [para(11(a,1),28(a,2,1)),flip(a)]. 98 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 99 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 100 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 101 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 102 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 103 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. 104 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. 105 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 106 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. 107 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 108 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. 109 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 110 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 111 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 112 T(x,x) = x. [para(32(a,2),13(a,1))]. 113 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 114 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 115 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 116 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(38(a,1),38(a,1,1)),flip(a)]. 117 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(42(a,2),38(a,1,1)),flip(a)]. 118 (x * ((y * z) * x)) / (z * x) = (1 / x) \ y. [hyper(18,a,16,a,b,47,a),flip(a)]. 119 ((1 / x) \ y) * x = x * ((y * 1) * x). [para(11(a,1),47(a,1,2))]. 120 x * ((((1 / x) * y) * z) * x) = y * (z * x). [para(13(a,1),47(a,1,1)),flip(a)]. 121 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(16(a,1),47(a,1,2)),flip(a)]. 123 (x * y) \ 1 = y \ (x \ 1). [hyper(17,a,14,a,b,48,a)]. 124 (x \ y) * (y \ 1) = x \ 1. [para(14(a,1),48(a,1,2,1))]. 125 (x / y) \ 1 = y * (x \ 1). [para(16(a,1),48(a,1,2,1)),flip(a)]. 126 (x * (x \ 1)) \ y = y. [para(14(a,2),50(a,1,1))]. 127 T(x,1) = x * 1. [para(50(a,1),32(a,2))]. 128 K(x,x) = 1. [para(52(a,1),26(a,2))]. 129 x / (y * (y \ 1)) = x. [para(14(a,2),60(a,1,2))]. 130 x / ((1 / y) * y) = x. [para(16(a,2),60(a,1,2))]. 131 T(T(x,y),x) = T(x,y). [para(112(a,1),38(a,1,1)),flip(a)]. 132 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),40(a,1,1)),flip(a)]. 133 (x / (y \ x)) * z = y * z. [hyper(22,a,62,a)]. 134 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),62(a,1,2))]. 135 (x * y) / K(x,y) = y * x. [para(26(a,2),62(a,1,2))]. 136 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),62(a,1,2))]. 137 (x * y) / T(x,y) = y. [para(32(a,2),62(a,1,2))]. 138 (x \ 1) * ((y * z) * (x \ 1)) = (x \ y) * (z * (x \ 1)). [para(62(a,1),47(a,1,1,1)),flip(a)]. 139 x / (y / ((z \ x) \ y)) = z. [para(62(a,2),62(a,1,2))]. 140 ((x / y) \ x) * z = y * z. [hyper(22,a,65,a)]. 141 x * ((y / (x \ z)) \ y) = z. [para(65(a,2),14(a,1,2))]. 142 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),65(a,1,1))]. 143 ((x / (y / z)) \ x) \ y = z. [para(65(a,2),65(a,1,1))]. 144 T(x,1) = x. [hyper(18,a,12,a,b,127,a(flip)),flip(a)]. 145 K(x,1) = 1. [hyper(36,a,144,a)]. 146 T(1,x) = 1. [hyper(35,a,144,a)]. 147 K(1,x) = 1. [hyper(36,a,146,a)]. 148 (x * (x \ 1)) * y != z | y = z. [para(14(a,2),75(a,1,1))]. 149 ((1 / x) * x) * y != z | y = z. [para(16(a,2),75(a,1,1))]. 150 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),81(a,1,2))]. 152 T(x,1) != y | y = x. [para(127(a,2),81(a,1))]. 153 x * ((1 / y) * y) != z | x = z. [para(16(a,2),82(a,1,2))]. 154 x * (y \ y) != z | x = z. [para(52(a,2),82(a,1,2))]. 155 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(54(a,1),30(a,2,1))]. 156 L(x \ 1,x,y) = (y * x) \ y. [para(56(a,1),28(a,2,2))]. 157 R(1 / x,x,y) = y / (x * y). [para(63(a,1),30(a,2,1))]. 158 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(64(a,1),24(a,2,1)),flip(a)]. 159 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(64(a,1),28(a,2,2))]. 160 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,113,a)]. 161 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,113,a(flip)),flip(a)]. 162 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,113,a(flip)),flip(a)]. 163 (x \ y) * T(x,x \ y) = y. [para(113(a,2),14(a,1))]. 164 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),113(a,1,2))]. 165 x * T(y / x,x) = y. [para(113(a,2),16(a,1))]. 166 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),17(a,1)),flip(c)]. 167 x * y != z * x | T(z,x) = y. [para(113(a,1),19(a,1)),flip(a)]. 168 x * T(y,x) != y * z | z = x. [para(113(a,2),19(a,2)),flip(a)]. 169 x * T(y,x) != z * x | z = y. [para(113(a,2),20(a,2)),flip(a)]. 170 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(113(a,1),24(a,2,1,2)),flip(a)]. 171 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),24(a,2,2,1)),flip(a)]. 172 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),28(a,2,1)),flip(a)]. 173 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),28(a,2,2,2)),flip(a)]. 174 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),30(a,2,2)),flip(a)]. 175 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),113(a,1,2))]. 176 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),113(a,1,2))]. 177 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),113(a,1,2))]. 178 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),38(a,1,1)),flip(a)]. 179 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),40(a,1,1)),flip(a)]. 180 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),42(a,1,1)),flip(a)]. 181 T(x / (x / y),x / y) = y. [para(115(a,2),65(a,1))]. 182 K(x \ 1,x) = (x \ 1) * x. [para(126(a,1),26(a,2))]. 183 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(126(a,1),28(a,2)),flip(a)]. 184 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(129(a,1),30(a,2)),flip(a)]. 185 (x * (1 / y)) * y = R(x,1 / y,y). [para(130(a,1),30(a,2)),flip(a)]. 186 T(x,T(x,y)) = x. [hyper(35,a,131,a)]. 187 T(x,y) * x = x * T(x,y). [para(131(a,1),113(a,1,2)),flip(a)]. 188 T(T(x,y),T(x,z)) = T(x,y). [para(186(a,1),38(a,1,1)),flip(a)]. 189 T(x / y,y \ x) = x / y. [para(115(a,1),186(a,1,2))]. 190 x / T(y,y \ x) = y \ x. [para(14(a,1),137(a,1,1))]. 191 T(T((x * y) / x,z),x) = T(y,z). [para(160(a,1),38(a,1,1)),flip(a)]. 192 T((x * y) / x,y) = (x * y) / x. [para(160(a,1),186(a,1,2))]. 193 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),161(a,1,1,2))]. 194 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(40(a,2),162(a,1,2,2))]. 195 x * y != z | T(z / x,x) = y. [para(165(a,1),19(a,1)),flip(a)]. 196 x * y != z | T(x,y) = y \ z. [para(113(a,1),78(a,1)),flip(b)]. 199 x \ x != y | 1 = y. [para(11(a,1),154(a,1))]. 200 x \ (y * (y \ x)) = 1. [para(12(a,1),57(a,1,2,2,2))]. 201 (x / y) \ (z * (z \ x)) = y. [para(16(a,1),57(a,1,2,2,2))]. 202 x * (x \ y) = y * 1. [para(200(a,1),14(a,1,2)),flip(a)]. 203 x * 1 != y * z | y \ x = z. [para(202(a,1),19(a,1))]. 204 (x / y) * y = x * 1. [para(65(a,1),202(a,1,2))]. 205 x * (x \ y) != z | z = y. [para(202(a,2),81(a,1))]. 206 x * 1 != y * z | x / z = y. [para(204(a,1),20(a,1))]. 207 (x / y) * y != z | z = x. [para(204(a,2),81(a,1))]. 208 (x / y) * y = z * (z \ x). [para(204(a,2),202(a,2)),flip(a)]. 209 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),205(a,1,2)),flip(b)]. 210 x * T(y,x) != z | y * x = z. [para(32(a,2),205(a,1,2)),flip(b)]. 211 (x * (x \ 1)) \ y != z | z = y. [para(54(a,1),205(a,1))]. 212 ((1 / x) * x) \ y != z | z = y. [para(63(a,1),205(a,1))]. 213 x * y != z | y * T(x,y) = z. [para(162(a,1),205(a,1,2)),flip(b)]. 214 x / 1 != y | y = x. [para(12(a,1),207(a,1))]. 215 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),207(a,1,1)),flip(b)]. 216 x / (y * (y \ 1)) != z | z = x. [para(56(a,1),207(a,1))]. 219 L(x \ (y \ z),x,y) = (y * x) \ z. [para(58(a,1),28(a,2,2))]. 220 ((x * (x \ y)) / z) \ y = z. [hyper(78,a,67,a)]. 221 (x / y) * y = 1 * x. [para(55(a,1),67(a,1,1,1))]. 222 (1 * x) / y = x / y. [hyper(85,a,221,a)]. 223 ((1 * x) / y) \ x = y. [para(222(a,2),65(a,1,1))]. 224 ((x / y) * y) / z = x / z. [para(221(a,2),222(a,1,1))]. 225 (((x / y) * y) / z) \ x = z. [para(221(a,2),223(a,1,1,1))]. 226 R((x / y) / z,z,y) = x / (z * y). [para(69(a,1),30(a,2,1))]. 227 x != y | z != y | z = x. [para(11(a,1),70(b,1))]. 228 (x / y) \ x = z * (z \ y). [hyper(227,a,65,a,b,14,a),flip(a)]. 229 x / (y \ x) = (y / z) * z. [hyper(227,a,62,a,b,16,a),flip(a)]. 230 (x * y) / y = z / (x \ z). [hyper(227,a,62,a,b,15,a)]. 231 x / (y \ x) = z * (z \ y). [hyper(227,a,62,a,b,14,a),flip(a)]. 232 (x * y) / y = (x / z) * z. [hyper(227,a,16,a,b,15,a)]. 233 x \ (x * y) = z * (z \ y). [hyper(227,a,14,a,b,13,a)]. 234 (x / (y * (y \ z))) * z = x. [hyper(207,a,86,a)]. 235 K(x,1 / x) = x * (1 / x). [hyper(17,a,63,a,b,92,a)]. 236 x * K(y \ x,y) = (y \ x) * y. [hyper(227,a,88,a(flip),b,92,a(flip)),flip(a)]. 237 x * K(y,x / y) = y * (x / y). [hyper(227,a,87,a(flip),b,92,a(flip)),flip(a)]. 238 (x * y) * z != y * x | K(y,x) = z. [para(92(a,1),19(a,1)),flip(a)]. 240 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(92(a,1),28(a,2,1)),flip(a)]. 241 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(92(a,1),28(a,2,2,2)),flip(a)]. 242 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(92(a,1),30(a,2,1)),flip(a)]. 243 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(92(a,1),137(a,1,1))]. 244 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,114,a)]. 245 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,114,a)]. 246 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(227,a,14,a,b,114,a(flip))]. 247 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(114(a,1),40(a,1,1)),flip(a)]. 248 (x * y) * (y \ (x \ 1)) = 1. [para(123(a,1),14(a,1,2))]. 249 (x \ y) \ (x \ 1) = y \ 1. [para(14(a,1),123(a,1,1)),flip(a)]. 250 ((1 / x) * y) \ 1 = y \ x. [para(65(a,1),123(a,2,2))]. 251 T(x,y) \ (y \ 1) = (x * y) \ 1. [para(113(a,1),123(a,1,1)),flip(a)]. 252 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(123(a,1),114(a,1,2))]. 253 (x \ 1) / (y \ 1) = x \ y. [hyper(85,a,124,a)]. 255 x \ 1 != y * (z \ 1) | x \ z = y. [para(124(a,1),20(a,1))]. 256 a(x,y,z) * (((x * y) * z) \ 1) = (x * (y * z)) \ 1. [para(24(a,2),124(a,1,1))]. 257 (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. [para(124(a,1),48(a,1,2,1))]. 258 1 / ((x \ y) * (y \ 1)) = x. [para(124(a,2),62(a,1,2))]. 259 (x \ (1 / y)) * y = x \ 1. [para(65(a,1),124(a,1,2))]. 260 (x \ 1) \ ((y \ x) \ 1) = (y \ 1) \ 1. [para(124(a,1),123(a,1,1)),flip(a)]. 261 (x / y) * (y * (x \ 1)) = 1. [para(125(a,1),14(a,1,2))]. 262 (x * y) * (((z * x) * y) \ 1) = R(z,x,y) \ 1. [para(30(a,2),125(a,1,1)),flip(a)]. 263 1 / (x * (y \ 1)) = y / x. [para(125(a,1),62(a,1,2))]. 264 T(x,L(x,y,z)) = x. [hyper(35,a,132,a)]. 265 L(x,y,z) * x = x * L(x,y,z). [para(132(a,1),113(a,1,2)),flip(a)]. 266 ((x / y) \ x) * (y \ z) = z. [hyper(227,a,14,a(flip),b,140,a)]. 267 x * (((y / x) \ y) \ z) = z. [hyper(205,a,140,a)]. 268 (x / y) * ((z / y) \ z) = x. [para(65(a,1),141(a,1,2,1,2))]. 269 (x \ y) * z != y | T(x,x \ y) = z. [para(163(a,1),19(a,1)),flip(a)]. 270 T(x / (x / y),(z / (x / y)) \ z) = y. [para(65(a,2),181(a,1,2))]. 271 x * T(x \ 1,x) = K(x \ 1,x). [hyper(227,a,113,a,b,182,a),flip(a)]. 272 K(x \ 1,x) / x = x \ 1. [hyper(85,a,182,a(flip))]. 273 (x \ 1) \ K(x \ 1,x) = x. [hyper(78,a,182,a(flip))]. 274 T(x,y) * z != x * T(x,y) | z = x. [para(187(a,1),19(a,2))]. 275 (x / y) * (y \ x) = (y \ x) * (x / y). [para(189(a,1),113(a,1,2)),flip(a)]. 276 x * (x \ y) != z * u | y / u = z. [para(201(a,1),84(a,1,2)),flip(a),flip(b)]. 277 x / (y \ ((x / z) * z)) = y. [hyper(18,a,141,a,b,208,a(flip))]. 278 (x / y) * y != z * u | z \ x = u. [para(208(a,2),19(a,1))]. 279 ((1 / x) \ y) \ x = y \ 1. [hyper(17,a,124,a,b,228,a(flip))]. 280 (x / y) \ x != z * u | z \ y = u. [para(228(a,2),19(a,1))]. 281 (x / y) \ x != z | z = y. [para(228(a,2),205(a,1))]. 282 x \ (x * y) != z | z = y. [para(15(a,1),281(a,1,1))]. 283 x \ (y * x) != z | T(y,x) = z. [para(137(a,1),281(a,1,1)),flip(b)]. 284 (x * y) \ (y * x) != z | K(y,x) = z. [para(135(a,1),281(a,1,1)),flip(b)]. 285 (x \ y) \ y != z | T(x,x \ y) = z. [para(190(a,1),281(a,1,1)),flip(b)]. 287 T(x,x) != y | y = x. [para(32(a,2),282(a,1))]. 288 x \ (y \ 1) != z | (y * x) \ 1 = z. [para(48(a,1),282(a,1,2)),flip(b)]. 289 T((x * y) / x,x) != z | z = y. [para(115(a,2),282(a,1))]. 291 (x \ y) \ (x \ 1) != z | y \ 1 = z. [para(124(a,1),282(a,1,2)),flip(b)]. 292 x / (y \ x) != z | z = y. [para(229(a,2),207(a,1))]. 293 (x * y) / y != z | z = x. [para(13(a,1),292(a,1,2))]. 294 ((x * y) * z) / a(x,y,z) != u | x * (y * z) = u. [para(24(a,2),292(a,1,2)),flip(b)]. 295 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),292(a,1,2)),flip(b)]. 296 x / x != y | 1 = y. [para(50(a,1),292(a,1,2)),flip(b)]. 297 (x * T(y,x)) / x != z | z = y. [para(162(a,1),292(a,1,2))]. 298 1 / (x * (y \ 1)) != z | y / x = z. [para(125(a,1),292(a,1,2)),flip(b)]. 299 (1 * x) / y != z | x / y = z. [para(221(a,1),293(a,1,1)),flip(b)]. 300 (x \ 1) / (y \ 1) != z | x \ y = z. [para(124(a,1),293(a,1,1)),flip(b)]. 301 (x / (y \ x)) * z != u | y * z = u. [para(230(a,1),207(a,1,1)),flip(b)]. 302 x / (y \ x) != z * u | z \ y = u. [para(231(a,2),19(a,1))]. 303 (x * (x \ y)) \ z = y \ z. [para(231(a,1),65(a,1,1))]. 305 (x * y) / y != z * u | x / u = z. [para(232(a,2),20(a,1))]. 306 ((x / y) * y) * z != u | x * z = u. [para(232(a,1),207(a,1,1)),flip(b)]. 307 x \ (x * y) != z * u | z \ y = u. [para(233(a,2),19(a,1))]. 308 x * (y * (y \ z)) != u | x * z = u. [para(233(a,1),205(a,1,2)),flip(b)]. 309 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),234(a,1,1))]. 310 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(235(a,2),28(a,2,1)),flip(a)]. 311 (x * y) \ 1 != z | y \ (x \ 1) = z. [para(248(a,1),282(a,1,2)),flip(b)]. 312 (x \ y) * (y \ 1) != z | x \ 1 = z. [para(249(a,1),205(a,1,2)),flip(b)]. 313 1 / (x \ y) = (1 / y) * x. [para(250(a,1),62(a,1,2))]. 314 (((1 / x) * y) * z) \ 1 = z \ (y \ x). [para(250(a,1),123(a,2,2))]. 315 (x \ ((1 / y) * z)) * (z \ y) = x \ 1. [para(250(a,1),124(a,1,2))]. 316 1 / (x \ y) != z | (1 / y) * x = z. [para(250(a,1),292(a,1,2)),flip(b)]. 317 x / (y \ 1) = (1 / x) \ y. [para(65(a,1),253(a,1,1))]. 318 (x \ 1) / y = x \ (1 / y). [para(65(a,1),253(a,1,2))]. 319 ((x / y) \ (1 / z)) * z = y * (x \ 1). [hyper(227,a,125,a(flip),b,259,a)]. 320 (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). [para(259(a,1),48(a,1,2,1)),flip(a)]. 321 (x \ 1) / y != z | x \ (1 / y) = z. [para(259(a,1),293(a,1,1)),flip(b)]. 322 ((x * (y / z)) * (z * (y \ 1))) / 1 = R(x,y / z,z * (y \ 1)). [para(261(a,1),30(a,2,2)),flip(a)]. 323 (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = ((1 / (x * (y \ 1))) \ z) * 1. [para(261(a,1),47(a,1,2)),flip(a)]. 324 (x / y) \ 1 != z | y * (x \ 1) = z. [para(261(a,1),282(a,1,2)),flip(b)]. 325 (1 / x) / y = 1 / (y * x). [para(65(a,1),263(a,1,2,2)),flip(a)]. 326 1 / (x * (y \ (z \ 1))) = (z * y) / x. [para(123(a,1),263(a,1,2,2))]. 327 1 / (x * (y * (z \ 1))) = (z / y) / x. [para(125(a,1),263(a,1,2,2))]. 328 ((1 / x) * y) / z = 1 / (z * (y \ x)). [para(250(a,1),263(a,1,2,2)),flip(a)]. 329 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(190(a,1),266(a,1,1,1))]. 330 x * ((y / z) \ y) != u | u / z = x. [para(268(a,1),20(a,1)),flip(a)]. 331 (x \ 1) * x != y | K(x \ 1,x) = y. [para(272(a,1),207(a,1,1)),flip(b)]. 332 ((1 / x) \ (y * z)) \ x = z \ (y \ 1). [hyper(227,a,123,a(flip),b,279,a)]. 333 ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). [para(279(a,1),124(a,1,1)),flip(a)]. 334 x / (y \ 1) != z | (1 / x) \ y = z. [para(279(a,1),292(a,1,2)),flip(b)]. 335 (1 / (x * y)) * x = 1 / y. [para(13(a,1),313(a,1,2)),flip(a)]. 336 (1 / (x * y)) * y = 1 / T(x,y). [para(32(a,2),313(a,1,2)),flip(a)]. 337 (1 / x) * (x / y) = 1 / y. [para(65(a,1),313(a,1,2)),flip(a)]. 338 ((1 / x) * y) \ 1 != z | y \ x = z. [para(313(a,1),281(a,1,1)),flip(b)]. 339 (1 / x) \ (1 / y) = x / y. [para(65(a,1),317(a,1,2)),flip(a)]. 340 x / (y \ (z \ 1)) = (1 / x) \ (z * y). [para(123(a,1),317(a,1,2))]. 341 x / (y * (z \ 1)) = (1 / x) \ (z / y). [para(125(a,1),317(a,1,2))]. 342 (1 / x) \ ((1 / y) * z) = x / (z \ y). [para(250(a,1),317(a,1,2)),flip(a)]. 343 (x \ (y \ 1)) / z = (y * x) \ (1 / z). [para(123(a,1),318(a,1,1))]. 344 ((1 / x) * y) \ (1 / z) = (y \ x) / z. [para(250(a,1),318(a,1,1)),flip(a)]. 345 1 / ((x \ 1) * y) = (1 / (1 / y)) \ x. [hyper(227,a,317,a(flip),b,325,a(flip))]. 346 T(1 / (x * y),x) = x \ (1 / y). [para(325(a,1),115(a,1,1))]. 347 (1 / (x * y)) * x != z | 1 / y = z. [para(325(a,1),207(a,1,1)),flip(b)]. 349 (1 / x) / y != z | 1 / (y * x) = z. [para(335(a,1),293(a,1,1)),flip(b)]. 350 (1 / x) \ (1 / y) != z | x / y = z. [para(337(a,1),282(a,1,2)),flip(b)]. 351 (1 / (1 / x)) * (1 / y) = 1 / (y / x). [para(337(a,1),335(a,1,1,2))]. 352 x * (((1 / y) * z) * x) = (x / y) * (z * x). [para(339(a,1),47(a,1,1)),flip(a)]. 353 x * y != x * z | z = y. [para(12(a,1),76(a,1))]. 354 L(x,y,1) = x. [hyper(227,a,51,a(flip),b,97,a(flip))]. 355 L(x,y,1) = x / 1. [hyper(227,a,60,a,b,354,a)]. 357 L(x,y,1) != z | z = x. [para(355(a,2),214(a,1))]. 358 x \ (x * y) = L(y,1,x). [para(12(a,1),98(a,1,1))]. 359 L(x,1,y) = x. [hyper(282,a,358,a)]. 360 L(x,1,y) != z | z = x. [para(358(a,1),282(a,1))]. 362 L(1,x,y) = 1. [hyper(199,a,99,a),flip(a)]. 364 a(x,y,1) = 1. [hyper(34,a,362,a)]. 365 a(x,y,K(z,z)) = 1. [para(128(a,2),364(a,1,3))]. 366 (x * y) / y = R(x,1,y). [para(12(a,1),105(a,1,1,1))]. 367 R(x,1,y) = x. [hyper(293,a,366,a)]. 370 (x * y) / y = R(x,y,1). [para(12(a,1),106(a,1,2))]. 371 R(x,y,1) = x. [hyper(293,a,370,a)]. 372 R(x,y,1) != z | z = x. [para(370(a,1),293(a,1))]. 375 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(227,a,303,a(flip),b,156,a)]. 376 L(x \ 1,x,y) * z = ((y * x) \ y) * z. [hyper(22,a,156,a)]. 377 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,156,a)]. 378 (x * y) * L(y \ 1,y,x) = x. [para(156(a,2),14(a,1,2))]. 379 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),156(a,2,1))]. 380 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(156(a,1),40(a,2,1)),flip(a)]. 381 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(156(a,1),44(a,1,1))]. 382 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(156(a,1),45(a,1,1)),flip(a)]. 383 x / L(y \ 1,y,x) = x * y. [para(156(a,2),62(a,1,2))]. 384 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(22,a,157,a)]. 385 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),157(a,2,2))]. 386 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),157(a,2,2))]. 387 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(157(a,1),42(a,2,1)),flip(a)]. 388 R(1 / x,x,y) \ y = x * y. [para(157(a,2),65(a,1,1))]. 389 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),167(a,2))]. 391 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),169(a,1,2)),flip(b)]. 392 x * (x \ y) != z * u | z \ y = u. [para(202(a,2),203(a,1))]. 393 (x / y) * y != z * u | x / u = z. [para(204(a,2),206(a,1))]. 394 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),210(a,1,2))]. 395 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),210(a,1,2))]. 396 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),210(a,1,2))]. 398 L(x,y,z) * x != u | x * L(x,y,z) = u. [para(264(a,1),210(a,1,2))]. 400 L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. [para(28(a,2),211(a,1)),flip(b)]. 401 L(x \ 1,x,1 / x) = 1 / x. [hyper(212,a,156,a(flip))]. 402 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(212,a,28,a(flip)),flip(a)]. 403 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),212(a,1)),flip(b)]. 404 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),212(a,1)),flip(b)]. 405 R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. [para(30(a,2),216(a,1)),flip(b)]. 406 (x \ 1) \ (y \ 1) != z | T(y \ x,x \ 1) = z. [para(124(a,1),283(a,1,2))]. 407 x \ (y \ 1) != z | T(y \ (1 / x),x) = z. [para(259(a,1),283(a,1,2))]. 408 T(x / y,y) != z | y \ x = z. [para(14(a,1),289(a,1,1,1)),flip(b)]. 409 ((x / y) * y) / z != u | x / z = u. [para(221(a,2),299(a,1,1))]. 410 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(378(a,1),282(a,1,2)),flip(b)]. 411 x / L(y,1 / y,x) = x * (1 / y). [para(65(a,1),383(a,1,2,1))]. 412 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(383(a,1),266(a,1,1,1))]. 413 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(383(a,1),267(a,1,2,1,1))]. 414 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(62(a,1),388(a,1,1,1))]. 415 x / (y * x) != z | R(1 / y,y,x) = z. [para(388(a,1),292(a,1,2)),flip(b)]. 416 T(x,x \ y) != z | (x \ y) \ y = z. [para(62(a,1),408(a,1,1))]. 417 T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. [para(135(a,1),408(a,1,1))]. 418 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(72,a,114,a,b,14,a)]. 419 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(72,a,28,a,b,126,a(flip))]. 420 x != y | z * u != y | T(z,u) = u \ x. [para(113(a,1),72(b,1)),flip(c)]. 421 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(73,a,30,a,b,129,a(flip))]. 422 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),93(a,2,1)),flip(a)]. 423 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),93(a,1,2))]. 424 x * K(x,x \ 1) = (x \ 1) \ 1. [para(94(a,1),48(a,1,2))]. 425 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(182(a,2),94(a,1,1))]. 426 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(164(a,1),28(a,2,2))]. 427 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),175(a,1,2,1))]. 428 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),175(a,1,2,1))]. 429 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),175(a,1,2,1)),flip(a)]. 430 T((x * y) / x,z) * x = x * T(y,z). [para(160(a,1),175(a,1,2,1)),flip(a)]. 431 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),175(a,1,2,1))]. 432 (x * T(x \ y,z)) / x = T(y / x,z). [para(178(a,1),161(a,1,1,2))]. 433 (x * T(y,z)) / x = T((x * y) / x,z). [para(191(a,1),161(a,1,1,2))]. 434 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(114(a,1),191(a,1,1))]. 437 T(x,(y * x) / y) = x. [hyper(35,a,192,a)]. 438 T(x,y) * z != u | z * T(T(x,z),y) = u. [para(193(a,1),207(a,1,1)),flip(b)]. 439 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(193(a,1),289(a,1,1)),flip(b)]. 440 (x \ y) * x != y * z | K(x \ y,x) = z. [para(236(a,1),19(a,1))]. 441 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(236(a,1),28(a,2,2,2)),flip(a)]. 442 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(236(a,1),282(a,1,2)),flip(b)]. 443 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(236(a,1),167(a,2))]. 445 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(237(a,1),282(a,1,2)),flip(b)]. 446 T(x,y) \ (y \ 1) = y \ (x \ 1). [hyper(227,a,123,a(flip),b,251,a)]. 447 (x * L(x,y,z)) \ 1 = x \ (L(x,y,z) \ 1). [para(264(a,1),251(a,1,1)),flip(a)]. 448 1 / T(x \ y,y \ 1) = x * (y \ 1). [para(258(a,1),336(a,1,1)),flip(a)]. 449 x * K(x,x \ 1) = T(x,x \ 1). [hyper(227,a,114,a,b,424,a)]. 451 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(123(a,1),424(a,1,2,2))]. 452 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(424(a,1),282(a,1,2)),flip(b)]. 453 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(72,a,425,a(flip),b,48,a),flip(a)]. 454 T(T(x,y),z) \ (y \ 1) = y \ (T(x,z) \ 1). [para(38(a,1),446(a,1,1))]. 456 (x * y) * L(z,y,x) != x * u | y * z = u. [para(28(a,2),79(a,1,2)),flip(b)]. 457 x * y != z * u | z \ (x * y) = u. [para(57(a,1),79(a,1,2)),flip(b)]. 458 x \ (x * y) != z * u | y / u = z. [para(16(a,1),83(a,1,2,2)),flip(b)]. 459 (x * y) / L(z \ y,z,x) = x * z. [hyper(73,a,86,a(flip),b,100,a)]. 460 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(17,a,58,a(flip),b,100,a)]. 461 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(227,a,88,a(flip),b,100,a(flip)),flip(a)]. 462 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(227,a,87,a(flip),b,100,a(flip)),flip(a)]. 463 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(73,a,100,a(flip),b,113,a)]. 464 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(100(a,1),19(a,1)),flip(a)]. 465 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(100(a,1),28(a,2,1)),flip(a)]. 466 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(100(a,1),28(a,2,2,2)),flip(a)]. 467 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(100(a,1),30(a,2,1,1)),flip(a)]. 468 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),100(a,1,2))]. 469 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),100(a,1,2))]. 470 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),100(a,1,2))]. 471 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),100(a,1,1))]. 472 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(100(a,1),92(a,1,1))]. 473 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(182(a,2),100(a,1,1))]. 474 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(100(a,1),282(a,1,2)),flip(b)]. 475 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(100(a,1),148(a,1))]. 476 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(100(a,1),149(a,1))]. 478 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(449(a,1),100(a,1,1))]. 479 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(227,a,303,a(flip),b,102,a)]. 480 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(227,a,126,a(flip),b,102,a)]. 481 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(212,a,102,a(flip))]. 482 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),102(a,2,1))]. 483 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(16(a,1),102(a,2,2))]. 484 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),102(a,1,1)),flip(a)]. 485 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(102(a,1),40(a,2,1)),flip(a)]. 486 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),102(a,2,1))]. 487 L(x \ (y / z),x,1 / y) = ((1 / y) * x) \ (1 / z). [para(337(a,1),102(a,2,2))]. 488 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(102(a,2),211(a,1)),flip(b)]. 489 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(100(a,1),102(a,2,1))]. 490 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(100(a,1),102(a,2,2))]. 491 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(72,a,88,a(flip),b,109,a)]. 492 R(x / y,y,z) \ (x * z) = y * z. [hyper(72,a,87,a(flip),b,109,a)]. 493 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(72,a,109,a(flip),b,100,a)]. 494 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),109(a,1,2))]. 495 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(109(a,1),20(a,1))]. 497 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(109(a,1),26(a,2,1)),flip(a)]. 498 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(109(a,1),30(a,2,1,1)),flip(a)]. 499 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(109(a,1),30(a,2,2)),flip(a)]. 500 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),109(a,1,1))]. 501 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),109(a,1,1))]. 502 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),109(a,1,1))]. 503 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),109(a,1,2))]. 504 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(109(a,1),92(a,1,1))]. 505 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(182(a,2),109(a,1,2))]. 506 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(109(a,1),293(a,1,1)),flip(b)]. 507 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(109(a,2),293(a,1,1)),flip(b)]. 508 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(109(a,1),150(a,1)),flip(b)]. 510 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(109(a,1),109(a,1,2))]. 511 R(x / (1 / y),1 / y,y) = x * y. [hyper(227,a,130,a(flip),b,110,a)]. 512 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(227,a,129,a(flip),b,110,a)]. 513 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),110(a,2,1))]. 514 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),110(a,2,2))]. 515 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(110(a,2),115(a,1,1))]. 516 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(187(a,1),110(a,2,2))]. 517 R(x / y,y,x \ z) \ z = y * (x \ z). [para(110(a,2),220(a,1,1))]. 518 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(157(a,2),110(a,1,1))]. 520 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(109(a,1),110(a,2,1))]. 521 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(109(a,1),110(a,2,2))]. 522 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(110(a,2),110(a,1,1))]. 523 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),136(a,1,1,2))]. 524 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(113(a,1),136(a,1,1,2))]. 525 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(92(a,1),136(a,1,1,2))]. 526 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(113(a,1),142(a,1,2,1))]. 527 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(92(a,1),142(a,1,2,1))]. 528 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(236(a,1),142(a,1,2,1))]. 529 x / K(x \ 1,x) = R(x,x \ 1,x). [para(182(a,2),155(a,2,2)),flip(a)]. 530 K(x,1 / x) \ x = L(x,1 / x,x). [para(235(a,2),159(a,2,1)),flip(a)]. 531 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(72,a,45,a,b,183,a)]. 532 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(72,a,44,a,b,183,a)]. 533 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(72,a,40,a(flip),b,183,a)]. 534 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(113(a,1),183(a,1,2)),flip(a)]. 535 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(73,a,44,a(flip),b,184,a)]. 536 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(73,a,46,a,b,185,a)]. 537 T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). [hyper(73,a,42,a(flip),b,185,a)]. 538 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(219(a,1),40(a,2,1))]. 539 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(219(a,1),44(a,1,1)),flip(a)]. 540 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(219(a,1),45(a,1,1)),flip(a)]. 541 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(65(a,1),219(a,1,1))]. 545 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(233(a,1),276(a,1,2))]. 548 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(232(a,1),278(a,1,1))]. 549 (x * y) / y != z * u | z \ x = u. [para(232(a,2),278(a,1))]. 550 (x \ y) * (y \ 1) != z * u | z \ (x \ 1) = u. [para(253(a,1),278(a,1,1))]. 552 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(30(a,2),280(a,1,1))]. 554 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(136(a,1),280(a,1,1))]. 555 1 / (x * y) != z | (1 / y) / x = z. [para(65(a,1),298(a,1,2,2))]. 556 (x * (x \ y)) * z != u | y * z = u. [para(231(a,1),301(a,1,1))]. 559 (x * T(y,x)) / x != z * u | z \ y = u. [para(162(a,1),302(a,1,2))]. 561 x / x != y * z | 1 / z = y. [para(11(a,1),305(a,1,1))]. 562 (((x * y) / z) * z) / y != u * w | x / w = u. [para(16(a,2),305(a,1,1))]. 565 x \ (y * (y \ (x * z))) != u * w | u \ z = w. [para(14(a,2),307(a,1,2))]. 567 x \ 1 != y | (z \ x) \ (z \ 1) = y. [para(14(a,1),311(a,1,1))]. 568 (x \ 1) * ((y \ 1) \ 1) != z | (y \ x) \ 1 = z. [para(249(a,1),312(a,1,1))]. 569 (x \ (y \ 1)) / z != u | (y * x) \ (1 / z) = u. [para(123(a,1),321(a,1,1))]. 570 (x * (y \ 1)) / z != u | (y / x) \ (1 / z) = u. [para(125(a,1),321(a,1,1))]. 571 (x \ y) \ 1 != z | (y \ 1) * ((x \ 1) \ 1) = z. [para(253(a,1),324(a,1,1))]. 573 x / (y \ (z \ 1)) != u | (1 / x) \ (z * y) = u. [para(123(a,1),334(a,1,2))]. 574 x / (y * (z \ 1)) != u | (1 / x) \ (z / y) = u. [para(125(a,1),334(a,1,2))]. 576 (((1 / x) * y) * z) \ 1 != u | z \ (y \ x) = u. [para(313(a,1),338(a,1,1,1))]. 577 (1 / x) * y != z | 1 / (y \ x) = z. [para(14(a,1),347(a,1,1,2))]. 578 ((1 / x) * y) / z != u | 1 / (z * (y \ x)) = u. [para(313(a,1),349(a,1,1))]. 580 (1 / x) \ y != z | x / (y \ 1) = z. [para(62(a,1),350(a,1,2))]. 581 ((1 / x) * y) \ (1 / z) != u | (y \ x) / z = u. [para(313(a,1),350(a,1,1))]. 582 (1 / x) \ ((1 / y) * z) != u | x / (z \ y) = u. [para(313(a,1),350(a,1,2))]. 583 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(379(a,1),40(a,2,1)),flip(a)]. 584 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(385(a,1),42(a,2,1)),flip(a)]. 585 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(385(a,2),110(a,1,1))]. 586 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),392(a,1,2))]. 588 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(233(a,1),392(a,1,2))]. 589 (((x / y) / z) * z) * y != u * w | x / w = u. [para(16(a,2),393(a,1,1))]. 591 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(232(a,1),393(a,1,1))]. 592 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(72,a,45,a,b,402,a)]. 593 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(113(a,1),402(a,1,2)),flip(a)]. 594 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(402(a,1),282(a,1,2)),flip(b)]. 595 R((x / y) / z,z,y) != u | x / (z * y) = u. [para(110(a,2),409(a,1))]. 598 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),416(a,1))]. 599 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),416(a,1,2))]. 600 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(88(a,2),457(a,1))]. 602 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(378(a,1),458(a,1,2))]. 603 ((x \ 1) * y) / L(x \ y,x,x \ 1) = K(x \ 1,x). [hyper(227,a,182,a,b,459,a)]. 604 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(459(a,1),281(a,1,1)),flip(b)]. 605 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(480(a,1),40(a,2,1))]. 606 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(481(a,1),40(a,2,1))]. 607 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(481(a,1),44(a,1,1)),flip(a)]. 608 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(481(a,1),45(a,1,1)),flip(a)]. 609 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(511(a,1),42(a,2,1))]. 610 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(512(a,1),42(a,2,1))]. 611 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(512(a,1),46(a,1,1)),flip(a)]. 612 K(x,1 / x) * L(x,1 / x,x) = x. [para(530(a,1),14(a,1,2))]. 615 ((x / y) \ x) * z != u | y * z = u. [para(228(a,2),556(a,1,1))]. 619 ((1 / x) \ y) * x = x * (y * x). [para(12(a,1),119(a,2,2,1))]. 620 (x * (y * x)) / x = (1 / x) \ y. [hyper(85,a,619,a)]. 621 T((1 / x) \ y,x) = y * x. [hyper(167,a,619,a(flip))]. 623 (((1 / x) * y) \ z) * (y \ x) = (y \ x) * (z * (y \ x)). [para(313(a,1),619(a,1,1,1))]. 624 x * ((1 / y) * x) = (x / y) * x. [para(339(a,1),619(a,1,1)),flip(a)]. 625 T(x,y) = ((1 / y) * x) * y. [para(13(a,1),621(a,1,1))]. 626 T(x \ y,x \ 1) = y * (x \ 1). [para(62(a,1),621(a,1,1,1))]. 627 T(((1 / x) * y) \ z,y \ x) = z * (y \ x). [para(313(a,1),621(a,1,1,1))]. 628 T(x / (y \ 1),x) = y * x. [para(317(a,2),621(a,1,1))]. 629 T(x / y,x) = (1 / y) * x. [para(339(a,1),621(a,1,1))]. 630 x * (y * x) != z | ((1 / x) \ y) * x = z. [para(621(a,1),210(a,1,2))]. 631 T(x,y) / y = (1 / y) * x. [hyper(73,a,625,a,b,xx)]. 632 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(73,a,264,a(flip),b,625,a(flip)),flip(a)]. 633 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(73,a,188,a(flip),b,625,a(flip)),flip(a)]. 634 (1 / T(x,y)) * x = x / T(x,y). [hyper(73,a,186,a(flip),b,625,a(flip)),flip(a)]. 635 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(73,a,132,a(flip),b,625,a(flip)),flip(a)]. 636 (1 / x) * T(x,y) = T(x,y) / x. [hyper(73,a,131,a(flip),b,625,a(flip)),flip(a)]. 637 (1 / x) * (y / x) = (x \ y) / x. [hyper(73,a,115,a(flip),b,625,a(flip)),flip(a)]. 639 (x * y) * (x \ 1) = T(y,x \ 1). [para(62(a,1),625(a,2,1,1)),flip(a)]. 640 T(x,x * y) = (1 / y) * (x * y). [para(335(a,1),625(a,2,1))]. 641 T((1 / x) \ y,x) != z | y * x = z. [para(625(a,2),556(a,1))]. 642 T(x / y,x) = 1 / (x \ y). [hyper(227,a,313,a,b,629,a)]. 643 T(x / y,x) * z = ((1 / y) * x) * z. [hyper(22,a,629,a)]. 644 T(x / y,x) \ 1 = x \ y. [para(629(a,2),250(a,1,1))]. 646 x * T((1 / y) * x,z) = T(x / y,z) * x. [para(629(a,1),175(a,1,2,1))]. 647 T(x / y,x) != z * u | z \ ((1 / y) * x) = u. [para(629(a,2),457(a,1))]. 648 T(x / y,x) * y = T(x,y). [para(629(a,2),625(a,2,1)),flip(a)]. 649 T(x / y,x) = T(x,y) / y. [hyper(227,a,629,a,b,631,a),flip(a)]. 650 T(x,y \ 1) / (y \ 1) = y * x. [hyper(227,a,133,a(flip),b,631,a)]. 651 x * (T(y,z) / z) = x * ((1 / z) * y). [hyper(21,a,631,a)]. 652 T(T((1 / x) * y,z),x) = T(x \ T(y,x),z). [para(631(a,1),178(a,1,1,1))]. 654 T(x / y,x) != z | (1 / y) * x = z. [para(642(a,2),316(a,1))]. 655 T(x,y) \ 1 = y \ (x \ y). [para(62(a,1),644(a,1,1,1))]. 656 T(x,x * y) * y = T(x * y,y). [para(15(a,1),648(a,1,1,1))]. 657 T(x / y,x) * y != z | T(x,y) = z. [para(649(a,2),207(a,1,1)),flip(b)]. 659 x * (T(y,x) \ 1) = y \ x. [para(655(a,2),14(a,1,2))]. 660 x \ ((y / x) \ x) = (x \ y) \ 1. [para(115(a,1),655(a,1,1)),flip(a)]. 661 x \ (T(x,y) \ x) = T(x,y) \ 1. [para(131(a,1),655(a,1,1)),flip(a)]. 663 x * ((x \ y) \ 1) = (y / x) \ x. [para(115(a,1),659(a,1,2,1))]. 664 x * (T(x,y) \ 1) = T(x,y) \ x. [para(131(a,1),659(a,1,2,1))]. 665 T(x,y) * (x \ 1) = x \ T(x,y). [para(186(a,1),659(a,1,2,1))]. 666 ((x * y) / x) \ x = x * (y \ 1). [para(160(a,1),659(a,1,2,1)),flip(a)]. 667 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(132(a,1),659(a,1,2,1))]. 668 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [para(264(a,1),659(a,1,2,1))]. 669 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(188(a,1),659(a,1,2,1))]. 670 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(192(a,1),659(a,1,2,1))]. 671 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(437(a,1),659(a,1,2,1))]. 672 x * ((x \ (1 / y)) \ 1) = (1 / (x * y)) \ x. [para(346(a,1),659(a,1,2,1))]. 673 (1 / x) \ (y / x) = (x * y) / x. [para(16(a,1),620(a,1,1,2)),flip(a)]. 674 ((1 / x) \ y) * x != z | x * (y * x) = z. [para(620(a,1),207(a,1,1)),flip(b)]. 675 x * (((1 / y) * z) * x) = (x / (z \ y)) * x. [para(313(a,1),624(a,1,2,1))]. 676 (x / (x * y)) * x = x * (1 / y). [para(335(a,1),624(a,1,2)),flip(a)]. 677 ((x * y) * z) * ((x * (y * z)) \ 1) = T(a(x,y,z),(x * (y * z)) \ 1). [para(24(a,2),626(a,1,1)),flip(a)]. 678 (x * (y * z)) * ((x * y) \ 1) = T(L(z,y,x),(x * y) \ 1). [para(28(a,2),626(a,1,1)),flip(a)]. 679 T(T(x,y),y \ 1) = (x * y) * (y \ 1). [para(32(a,2),626(a,1,1))]. 681 T(x,1 / x) / x = x * (1 / x). [hyper(210,a,636,a),flip(a)]. 682 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(196,a,636,a),flip(a)]. 683 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(636(a,1),301(a,1))]. 684 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(227,a,132,a(flip),b,639,a)]. 685 (x \ 1) \ T(y,x \ 1) = T(x * y,x \ 1). [hyper(196,a,639,a),flip(a)]. 686 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(73,a,192,a(flip),b,639,a)]. 687 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(73,a,132,a(flip),b,639,a)]. 689 1 / T(x,y \ 1) = y / (y * x). [para(639(a,1),263(a,1,2))]. 691 T(x \ y,x \ 1) != z | y * (x \ 1) = z. [para(639(a,1),556(a,1))]. 692 (1 / T(x,y \ 1)) \ y = y * x. [hyper(334,a,650,a)]. 693 (x * y) * (x \ 1) != z | T(y,x \ 1) = z. [para(650(a,1),207(a,1,1)),flip(b)]. 694 x * ((x \ y) \ 1) != z | (y / x) \ x = z. [para(660(a,1),205(a,1,2)),flip(b)]. 697 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(227,a,626,a,b,665,a(flip)),flip(a)]. 698 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [para(665(a,1),123(a,1,1)),flip(a)]. 699 x / (x * (y \ 1)) = (x * y) / x. [para(666(a,1),62(a,1,2))]. 700 (x * (1 / y)) / x = x / (x * y). [hyper(85,a,676,a)]. 701 (x * (1 / y)) / x != z * u | z \ (x / (x * y)) = u. [para(676(a,1),549(a,1,1))]. 702 T(x,1 / x) / x = K(x,1 / x). [hyper(227,a,235,a,b,681,a)]. 703 (1 / x) \ (y / (y * z)) != u | x / T(z,y \ 1) = u. [para(689(a,1),350(a,1,2))]. 704 (1 / T(x,y \ (z \ 1))) \ (z * y) = (z * y) * x. [para(123(a,1),692(a,1,1,2,2))]. 705 (x \ 1) \ x = x * x. [para(190(a,1),692(a,1,1))]. 706 ((1 / x) * y) * ((1 / x) * y) = (y \ x) \ ((1 / x) * y). [para(250(a,1),705(a,1,1)),flip(a)]. 707 ((x * y) / x) \ x != z | x * (y \ 1) = z. [para(699(a,1),281(a,1,1)),flip(b)]. 708 (x * ((1 / y) * z)) / x = x / (x * (z \ y)). [para(250(a,1),699(a,1,2,2)),flip(a)]. 709 T(x / y,(z / y) \ z) = y \ x. [hyper(166,a,268,a,b,266,a)]. 710 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(166,a,100,a(flip),b,87,a(flip))]. 711 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(227,a,100,a(flip),b,176,a(flip)),flip(a)]. 713 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),176(a,1,2,1))]. 714 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),176(a,1,2,1))]. 715 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),176(a,1,2,1)),flip(a)]. 716 L(T(x,y),z,u) * x = x * L(T(x,y),z,u). [para(131(a,1),176(a,1,2,1)),flip(a)]. 717 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(160(a,1),176(a,1,2,1)),flip(a)]. 718 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(114(a,1),176(a,1,2,1))]. 719 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(227,a,109,a(flip),b,177,a)]. 720 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(72,a,109,a(flip),b,177,a)]. 721 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(177(a,1),19(a,1))]. 722 R(x,y,z) * x = x * R(x,y,z). [para(112(a,1),177(a,1,2,1)),flip(a)]. 723 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),177(a,1,2,1)),flip(a)]. 724 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(131(a,1),177(a,1,2,1)),flip(a)]. 725 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(160(a,1),177(a,1,2,1)),flip(a)]. 726 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),177(a,1,2,1))]. 727 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(181(a,1),177(a,1,2,1)),flip(a)]. 728 T(x,R(x,y,z)) = x. [hyper(167,a,722,a)]. 729 K(R(x,y,z),x) = 1. [hyper(71,a,722,a(flip),b,92,a),flip(a)]. 730 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(73,a,728,a(flip),b,625,a(flip)),flip(a)]. 731 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [para(728(a,1),655(a,1,1)),flip(a)]. 732 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [para(728(a,1),659(a,1,2,1))]. 733 x * K(R(y,z,u),y) = x. [para(729(a,2),12(a,1,2))]. 734 (1 / x) * L(y / x,z,u) = L(x \ y,z,u) / x. [hyper(73,a,179,a(flip),b,625,a(flip)),flip(a)]. 735 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(179(a,1),161(a,1,1,2))]. 736 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(180(a,1),161(a,1,1,2))]. 737 T(x / (y * x),y) = R(y \ 1,y,x). [para(157(a,1),180(a,1,1))]. 738 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(110(a,1),180(a,1,1))]. 739 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(226(a,1),180(a,1,1)),flip(a)]. 740 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(392,a,244,a),flip(a)]. 741 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(244(a,2),26(a,2,1)),flip(a)]. 742 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(244(a,2),28(a,2,1)),flip(a)]. 744 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(227,a,16,a(flip),b,245,a)]. 745 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(72,a,245,a(flip),b,92,a)]. 748 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(246(a,2),308(a,1,2))]. 749 (x \ 1) * T(y,y \ 1) = (y \ x) \ 1. [hyper(227,a,245,a,b,257,a(flip)),flip(a)]. 750 ((x * (y \ 1)) * ((z \ 1) \ 1)) / ((z \ y) \ 1) = R(x,y \ 1,(z \ 1) \ 1). [para(257(a,1),30(a,2,2)),flip(a)]. 751 (x \ 1) * ((y \ (z \ 1)) \ 1) = ((z * y) \ x) \ 1. [para(123(a,1),257(a,1,2,1))]. 752 (x * (y \ 1)) * ((z \ 1) \ 1) = (z \ (y / x)) \ 1. [para(125(a,1),257(a,1,1))]. 753 (x \ ((1 / y) * z)) \ 1 = (z \ y) * ((x \ 1) \ 1). [para(250(a,1),257(a,1,1)),flip(a)]. 754 (((1 / x) * y) \ z) \ 1 = (z \ 1) * ((y \ x) \ 1). [para(250(a,1),257(a,1,2,1)),flip(a)]. 756 (((1 / x) * y) * z) / u = 1 / (u * (z \ (y \ x))). [para(314(a,1),263(a,1,2,2)),flip(a)]. 757 (1 / x) \ (((1 / y) * z) * u) = x / (u \ (z \ y)). [para(314(a,1),317(a,1,2)),flip(a)]. 758 ((1 / x) * y) \ ((1 / z) * u) = (y \ x) / (u \ z). [hyper(73,a,250,a(flip),b,315,a),flip(a)]. 759 x / (y * (z * (u \ 1))) = (1 / x) \ ((u / z) / y). [hyper(72,a,327,a(flip),b,337,a),flip(a)]. 760 x / (y \ (z \ (u \ 1))) = (1 / x) \ ((u * z) * y). [para(123(a,1),340(a,1,2,2))]. 761 (1 / ((x * y) * (z \ 1))) \ (z / y) = R(x,y,z \ 1). [hyper(227,a,30,a,b,341,a(flip))]. 762 (1 / x) \ ((y \ z) / y) = x / ((z / y) \ y). [para(663(a,1),341(a,1,2)),flip(a)]. 763 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(182(a,2),410(a,1,1))]. 764 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),415(a,1,2))]. 765 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(418(a,2),190(a,1,2,2))]. 766 K(x \ (x * y),x) = K(y,x). [hyper(227,a,93,a(flip),b,422,a),flip(a)]. 767 K(x \ (x * y),z) = K(y,z). [para(53(a,1),766(a,1,1)),flip(a)]. 768 K((x / y) \ x,z) = K(y,z). [para(16(a,1),767(a,1,1,2))]. 769 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [para(48(a,1),767(a,1,1,2)),flip(a)]. 770 x * T(x \ y,y) = T(y,x). [hyper(657,a,429,a),flip(a)]. 771 T(x \ y,y) = x \ T(y,x). [hyper(72,a,648,a(flip),b,429,a(flip)),flip(a)]. 772 T(x,y * T(y \ x,x)) = x. [para(770(a,2),186(a,1,2))]. 773 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(432(a,1),207(a,1,1)),flip(b)]. 774 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(432(a,1),289(a,1,1)),flip(b)]. 776 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(433(a,2),113(a,1,2))]. 777 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),433(a,1,1,2)),flip(a)]. 778 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(433(a,1),207(a,1,1)),flip(b)]. 779 x / (x * (y \ x)) = y * (x \ 1). [hyper(227,a,689,a(flip),b,448,a(flip)),flip(a)]. 780 (x * (y \ 1)) \ y = y * (x \ y). [para(448(a,1),692(a,1,1))]. 781 (x / y) * (x \ 1) = x / (x * y). [para(65(a,1),779(a,1,2,2)),flip(a)]. 783 (1 / x) * (y \ (1 / x)) = (y * x) \ (1 / x). [para(65(a,1),780(a,1,1,2)),flip(a)]. 784 x * ((y \ x) \ x) = (y \ 1) \ x. [para(124(a,1),780(a,1,1)),flip(a)]. 785 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [para(665(a,1),780(a,1,1))]. 786 x \ ((y \ 1) \ x) = (y \ x) \ x. [hyper(78,a,784,a)]. 787 T(x \ 1,y) \ 1 = (x \ y) \ y. [hyper(17,a,659,a,b,784,a),flip(a)]. 788 x * T(y,y \ x) = (y \ 1) \ x. [hyper(227,a,245,a,b,784,a(flip)),flip(a)]. 789 (x \ 1) \ y != y * z | (x \ y) \ y = z. [para(784(a,1),19(a,1))]. 790 ((1 / x) \ y) \ y = y \ (x \ y). [para(65(a,1),786(a,1,2,1)),flip(a)]. 791 x * ((y \ x) \ x) != z | (y \ 1) \ x = z. [para(786(a,1),205(a,1,2)),flip(b)]. 792 1 / ((x \ y) \ y) = T(x \ 1,y). [para(787(a,1),62(a,1,2))]. 793 x / (x \ (y \ x)) = (1 / y) \ x. [para(790(a,1),62(a,1,2))]. 794 (1 / x) * (y \ x) = T(y \ 1,x). [hyper(316,a,792,a)]. 795 1 / T(x,x \ y) = T(x \ 1,y). [para(114(a,2),792(a,1,2))]. 796 (1 / (x / y)) \ x = x / (x \ y). [para(65(a,1),793(a,1,2,2)),flip(a)]. 797 x / (T(y,x) \ 1) = (1 / y) \ x. [para(655(a,2),793(a,1,2))]. 798 T(x \ 1,x) = 1 / x. [hyper(154,a,794,a),flip(a)]. 799 T(x \ 1,x) != y | 1 / x = y. [para(794(a,1),154(a,1))]. 800 (x \ 1) * x = x * (1 / x). [para(798(a,1),113(a,1,2)),flip(a)]. 802 T(x \ 1,y) * x = x * T(1 / x,y). [para(798(a,1),175(a,1,2,1)),flip(a)]. 803 T(x \ 1,x * y) = 1 / T(x,y). [para(13(a,1),795(a,1,2,2)),flip(a)]. 804 (1 / x) * (1 / (x / y)) = 1 / (x / (x \ y)). [para(796(a,1),313(a,1,2)),flip(a)]. 805 (1 / x) \ T(y,x) = (1 / y) \ x. [hyper(334,a,797,a)]. 806 T((1 / x) \ y,y) = T(x,y) * y. [para(797(a,1),628(a,1,1))]. 807 (1 / L(x,y,z)) \ x = (1 / x) \ L(x,y,z). [para(132(a,1),805(a,1,2)),flip(a)]. 808 x * ((1 / y) \ (x \ 1)) = T(y,x \ 1). [hyper(18,a,639,a,b,806,a(flip)),flip(a)]. 809 T(T(x,y \ 1),y) * y = T(y * x,y). [para(692(a,1),806(a,1,1)),flip(a)]. 810 (x / L(x,y,z)) / x = 1 / L(x,y,z). [hyper(85,a,632,a)]. 811 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(85,a,635,a)]. 812 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(635(a,1),102(a,2,1))]. 813 T(T(x,y),y \ 1) = R(x,y,y \ 1). [hyper(227,a,184,a(flip),b,679,a)]. 814 T(T(x,y / z),z * (y \ 1)) = R(x,y / z,(y / z) \ 1). [para(125(a,1),813(a,1,2))]. 816 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(732(a,1),92(a,1,1))]. 817 (x \ R(x,y,z)) \ 1 != u | (x \ 1) \ (R(x,y,z) \ 1) = u. [para(732(a,1),311(a,1,1))]. 819 T(T(x,y),y \ 1) * y = T(y * x,y). [para(38(a,1),809(a,1,1))]. 820 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(810(a,1),207(a,1,1)),flip(b)]. 821 T(T(x,y),y \ 1) = (1 / y) * (y * x). [hyper(18,a,625,a(flip),b,819,a)]. 822 R(x,y,y \ 1) * y = T(y * x,y). [para(813(a,1),819(a,1,1))]. 823 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(73,a,88,a(flip),b,89,a)]. 824 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(16(a,1),89(a,1,1,2))]. 825 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(89(a,1),282(a,1,2)),flip(b)]. 826 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(109(a,1),89(a,1,1))]. 827 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(107(a,2),225(a,1,1))]. 828 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(185(a,1),158(a,1,2))]. 829 L(T(x,y),y,x) = T(x,x * y). [hyper(283,a,173,a),flip(a)]. 833 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(109(a,1),173(a,1,2))]. 834 T(L(x,y,x),y) = T(x,x * y). [hyper(227,a,40,a(flip),b,829,a(flip)),flip(a)]. 835 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(829(a,1),40(a,2,1))]. 836 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(829(a,1),44(a,1,1)),flip(a)]. 837 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(829(a,1),45(a,1,1)),flip(a)]. 838 x * T(y,y * x) = L(y,x,y) * x. [para(829(a,1),176(a,1,2))]. 839 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(829(a,2),177(a,1,2,1))]. 840 (x * T(y,y * x)) / x = L(y,x,y). [para(834(a,1),161(a,1,1,2))]. 841 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,430,a,b,838,a(flip)),flip(a)]. 842 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),838(a,1,2,2)),flip(a)]. 843 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),838(a,1,2,2)),flip(a)]. 844 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(14(a,1),841(a,1,2))]. 845 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(841(a,1),38(a,1,1)),flip(a)]. 846 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(635(a,1),841(a,1,2))]. 847 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(242(a,1),429(a,1,1,1)),flip(a)]. 848 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),309(a,1,1))]. 849 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(380(a,2),100(a,1,2))]. 850 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(205,a,384,a)]. 851 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(408,a,387,a),flip(a)]. 852 (x / y) * T(y,z) != u * (x / y) | T(x / (x / y),z) = u. [para(181(a,1),391(a,1,2,1))]. 853 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),394(a,1,2,1))]. 854 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(412(a,1),154(a,1))]. 855 K(x,y) = L(x \ T(x,y),x,y). [hyper(227,a,26,a,b,426,a),flip(a)]. 856 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(426(a,1),40(a,2,1))]. 857 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(426(a,2),284(a,1))]. 858 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(113(a,2),442(a,1,2))]. 860 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(227,a,176,a(flip),b,461,a(flip))]. 861 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(461(a,1),19(a,1))]. 862 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),461(a,1,2))]. 863 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(461(a,1),282(a,1,2)),flip(b)]. 864 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),462(a,1,2))]. 865 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(479(a,1),40(a,2,1))]. 866 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(479(a,1),44(a,1,1)),flip(a)]. 867 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(491(a,1),292(a,1,2)),flip(b)]. 868 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(514(a,1),42(a,2,1))]. 869 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(514(a,1),46(a,1,1)),flip(a)]. 871 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(514(a,1),180(a,1,1)),flip(a)]. 872 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(524(a,1),281(a,1,1)),flip(b)]. 876 T(x,y \ 1) != z | (y * x) * (y \ 1) = z. [para(13(a,1),691(a,1,1))]. 881 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),738(a,2,1)),flip(a)]. 882 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(14(a,1),738(a,1,1,2))]. 883 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(739(a,1),309(a,1,1)),flip(a)]. 884 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(738(a,1),774(a,1,1))]. 885 x * T(y,y \ x) != z | (y \ 1) \ x = z. [para(114(a,2),791(a,1,2))]. 886 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(835(a,1),100(a,1,2))]. 887 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(14(a,1),850(a,1,1,2))]. 888 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(881(a,2),113(a,1,2)),flip(a)]. 889 T(R(x,y,x),y * x) = T(x,y). [para(881(a,2),191(a,1,1))]. 890 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(881(a,2),430(a,1,1))]. 891 R(T(x,y * x),y,x) = T(x,y). [hyper(227,a,42,a,b,889,a(flip)),flip(a)]. 893 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(889(a,1),176(a,1,2,1)),flip(a)]. 894 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(889(a,1),177(a,1,2,1)),flip(a)]. 895 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),891(a,1,1,2))]. 896 R(x,1 / x,x) = T(x,1 / x). [para(144(a,1),895(a,1,1))]. 897 (x * y) * T(y,x) = (y * x) * y. [hyper(227,a,109,a(flip),b,890,a(flip))]. 898 (x * T(y,x)) * T(x,y) = R(x,y,x) * (y * x). [para(113(a,2),890(a,2,1)),flip(a)]. 899 (x * (y / x)) * x = y * T(x,y / x). [hyper(306,a,897,a),flip(a)]. 900 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(72,a,897,a(flip),b,92,a)]. 902 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(227,a,42,a,b,117,a),flip(a)]. 903 (x * (y * x)) / (z * x) = (1 / x) \ (y / z). [para(16(a,1),118(a,1,1,2,1))]. 904 (((1 / x) * y) * z) * x = x \ (y * (z * x)). [hyper(78,a,120,a),flip(a)]. 906 x \ (y * (z * x)) != u * x | ((1 / x) * y) * z = u. [para(120(a,1),83(a,1,2)),flip(b)]. 907 x * (T(y,x) * x) = y * (x * x). [para(625(a,2),120(a,1,2,1))]. 908 x * T((1 / y) \ x,x) = y * (x * x). [para(806(a,2),907(a,1,2))]. 909 ((1 / x) \ y) * y = x * (y * y). [hyper(210,a,908,a)]. 910 (1 / (x / (y * y))) \ y = x / y. [hyper(73,a,16,a(flip),b,909,a),flip(a)]. 911 ((x * y) * x) * y = (x * y) * (x * y). [hyper(17,a,47,a(flip),b,909,a(flip)),flip(a)]. 913 (x \ 1) * (y * y) = (x \ y) * y. [para(62(a,1),909(a,1,1,1)),flip(a)]. 914 (1 / (x / (y * y))) \ 1 = (x / y) * (y \ 1). [para(910(a,1),124(a,1,1)),flip(a)]. 916 a(x * y,x,y) = 1. [hyper(71,a,911,a(flip),b,89,a),flip(a)]. 917 T((((1 / x) \ y) * z) / x,x) = (y * (z / x)) * x. [hyper(195,a,121,a)]. 918 x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. [hyper(78,a,121,a)]. 919 (x * (x / y)) * y = x * x. [hyper(17,a,909,a(flip),b,121,a)]. 921 x \ (((1 / x) \ y) * z) != u | (y * (z / x)) * x = u. [para(121(a,1),282(a,1,2)),flip(b)]. 922 (x * x) / y = x * (x / y). [hyper(85,a,919,a)]. 923 x * y != z * z | z * (z / y) = x. [para(919(a,1),20(a,1)),flip(a)]. 924 (x * y) * (y \ x) = x * x. [para(62(a,1),919(a,1,1,2))]. 925 x * y != z * z | T(z * (z / x),x) = y. [para(919(a,1),167(a,2))]. 926 (x / y) * (x / y) = x * (y \ (x / y)). [hyper(306,a,924,a),flip(a)]. 927 (x * y) * z != x * x | y \ x = z. [para(924(a,1),19(a,1)),flip(a)]. 930 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),209(a,1,2))]. 931 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(45(a,1),209(a,1,2))]. 936 (x / y) * (y * x) = x * x. [para(63(a,1),352(a,1,2)),flip(a)]. 937 x * (x / (y * x)) = x / y. [hyper(923,a,936,a)]. 938 x * ((x \ y) * y) = y * y. [hyper(301,a,936,a)]. 939 x \ (y * y) = (x \ y) * y. [hyper(72,a,936,a(flip),b,133,a(flip))]. 940 (x * y) * (x * y) = x * (y * (x * y)). [para(15(a,1),936(a,1,1)),flip(a)]. 943 (x * y) * ((x \ 1) * T(y,x \ 1)) = T(y,x \ 1) * T(y,x \ 1). [para(650(a,1),936(a,1,1))]. 944 x / (y * x) = x \ (x / y). [hyper(78,a,937,a),flip(a)]. 945 x / ((y \ x) * x) = x \ y. [hyper(72,a,62,a(flip),b,937,a),flip(a)]. 946 (x \ y) * ((x \ y) / y) = (x \ y) / x. [para(14(a,1),937(a,1,2,2))]. 947 x / (y / x) = x * (x / y). [para(16(a,1),937(a,1,2,2)),flip(a)]. 948 (x \ (x / y)) * (y * x) = x. [para(937(a,1),66(a,1,1,2))]. 949 x \ (x / y) != z | x / (y * x) = z. [para(937(a,1),282(a,1,2)),flip(b)]. 950 ((x * y) \ x) * x = y \ x. [hyper(927,a,938,a),flip(a)]. 951 T(x * (x / y),y) = (y \ x) * x. [hyper(925,a,938,a)]. 952 x * ((x \ (y / z)) * (y / z)) = y * (z \ (y / z)). [hyper(227,a,926,a(flip),b,938,a)]. 953 L(x,y \ x,y) = x. [hyper(17,a,461,a,b,938,a(flip)),flip(a)]. 955 1 / ((x \ y) * y) = (1 / (y * y)) * x. [para(938(a,1),335(a,1,1,2)),flip(a)]. 956 L(x * y,y,x) = x * y. [para(13(a,1),953(a,1,2))]. 957 L(T(x,y),z \ x,z) = T(x,y). [para(953(a,1),40(a,2,1))]. 958 (x * y) * (x * y) != z | x * (y * (x * y)) = z. [para(956(a,1),209(a,1,2))]. 959 (1 / x) \ (y * y) = x * (y * y). [hyper(227,a,909,a(flip),b,939,a)]. 960 (x \ (x / y)) \ 1 = (y * x) * (x \ 1). [para(944(a,1),125(a,1,1))]. 961 (x \ y) \ x = (y \ x) * x. [para(945(a,1),65(a,1,1))]. 962 1 / ((x \ y) * y) = (1 / y) * (y \ x). [para(945(a,1),337(a,1,2)),flip(a)]. 963 (x * (x / y)) \ x = y / x. [para(947(a,1),65(a,1,1))]. 964 (x * (x / y)) \ x != z | y / x = z. [para(947(a,1),281(a,1,1)),flip(b)]. 965 x / (y * x) != z | x \ (x / y) = z. [para(948(a,1),293(a,1,1)),flip(b)]. 966 T((x * y) \ x,x) = x \ (y \ x). [hyper(420,a,xx,b,950,a)]. 967 (x \ y) / y = (y * x) \ y. [hyper(85,a,950,a)]. 968 ((x * y) * x) \ (x * y) = y / (x * y). [hyper(73,a,13,a(flip),b,950,a),flip(a)]. 969 x \ y != z * y | (y * x) \ y = z. [para(950(a,1),20(a,1))]. 970 ((x * y) \ x) \ 1 = x * ((y \ x) \ 1). [para(950(a,1),48(a,1,2,1)),flip(a)]. 971 (x \ y) / y != z | (y * x) \ y = z. [para(950(a,1),293(a,1,1)),flip(b)]. 972 ((x \ y) / y) * (1 / y) = x \ (1 / y). [para(344(a,1),950(a,1,1))]. 973 T(x \ y,x) \ 1 = T(y \ x,x). [hyper(166,a,961,a(flip),b,659,a),flip(a)]. 974 (x \ y) \ x != z * x | y \ x = z. [para(961(a,2),20(a,1))]. 975 (x / ((y \ z) \ x)) \ y = (z \ y) * y. [para(62(a,2),961(a,1,1))]. 976 (x \ ((1 / x) \ y)) \ x = (y \ 1) * x. [para(279(a,1),961(a,2,1))]. 978 1 / ((x \ y) * y) != z | (1 / y) * (y \ x) = z. [para(961(a,1),316(a,1,2))]. 981 x * ((x \ y) * T(y,z)) = y * T(y,z). [para(957(a,1),461(a,1,2)),flip(a)]. 982 x / (y \ (y \ 1)) = x * (y * y). [hyper(227,a,340,a,b,959,a(flip)),flip(a)]. 984 (x * (y * y)) \ x = y \ (y \ 1). [para(959(a,1),332(a,1,1))]. 985 1 / T(x \ y,y) = T(y \ x,y). [para(973(a,1),62(a,1,2))]. 986 1 / (x * x) = x \ (x \ 1). [hyper(561,a,982,a)]. 987 x * (y \ (y \ 1)) = x / (y * y). [hyper(305,a,982,a),flip(a)]. 988 (1 / x) / x = x \ (x \ 1). [hyper(555,a,986,a)]. 989 x \ (x / (y * y)) = y \ (y \ 1). [para(16(a,1),984(a,1,1))]. 990 (x \ (x \ 1)) * y = (x * x) \ y. [para(984(a,1),950(a,1,1))]. 991 T(x \ (x / y),x) = 1 / T(y,x). [para(65(a,1),985(a,1,2,1)),flip(a)]. 992 (x \ (x \ 1)) \ y = (x * x) * y. [hyper(72,a,13,a(flip),b,990,a)]. 993 (((1 / x) * y) \ (((1 / x) * y) \ 1)) \ z = (T(y / x,y) * ((1 / x) * y)) * z. [para(643(a,2),992(a,2,1))]. 994 ((x * y) * x) \ (x * y) != z | y / (x * y) = z. [para(15(a,1),964(a,1,1,2))]. 995 (x / (y \ z)) / ((1 / z) * y) != u | (((1 / z) * y) * (1 / x)) \ ((1 / z) * y) = u. [para(342(a,1),971(a,1,1))]. 996 (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = ((y \ x) \ 1) * ((x \ 1) * ((y \ 1) \ 1)). [para(257(a,1),940(a,1,1)),flip(a)]. 997 x \ (x / (y * (z * (y * z)))) = (y * z) \ ((y * z) \ 1). [para(940(a,1),989(a,1,2,2))]. 998 (x \ y) * ((y * x) \ y) = (x \ y) / x. [para(967(a,1),946(a,1,2))]. 999 1 / ((x \ y) * y) = (y \ (y \ 1)) * x. [para(986(a,1),955(a,2,1))]. 1000 ((x * y) * x) \ (x * y) = y \ (y / x). [hyper(227,a,944,a(flip),b,968,a)]. 1001 ((x * y) * x) \ (x * y) != z | y \ (y / x) = z. [para(968(a,2),965(a,1))]. 1002 (x / y) \ (1 / x) = (y / x) * (1 / x). [para(65(a,1),972(a,1,1,1)),flip(a)]. 1003 ((x * y) \ x) * (1 / x) = y \ (1 / x). [para(967(a,1),972(a,1,1))]. 1004 ((x * x) \ y) \ 1 = y \ (x * x). [hyper(18,a,959,a(flip),b,975,a(flip)),flip(a)]. 1005 ((x * x) \ y) \ 1 = (y \ x) * x. [hyper(227,a,939,a(flip),b,1004,a)]. 1006 1 / ((x \ y) * y) = (y * y) \ x. [para(1005(a,1),62(a,1,2))]. 1007 (1 / x) * (x \ y) = (x * x) \ y. [hyper(227,a,962,a(flip),b,1006,a(flip)),flip(a)]. 1008 ((x * y) * (x * y)) \ x = 1 / (y * (x * y)). [para(13(a,1),1006(a,1,2,1)),flip(a)]. 1009 (x * x) \ (x / y) = 1 / (y * x). [para(65(a,1),1006(a,1,2,1)),flip(a)]. 1010 1 / (x * (y * y)) = (y * y) \ (1 / x). [para(909(a,1),1006(a,1,2))]. 1011 ((x \ 1) * (x \ 1)) \ y = x * ((x \ 1) \ y). [hyper(301,a,1007,a),flip(a)]. 1012 (1 / x) * (x \ 1) = x \ (x \ 1). [hyper(227,a,123,a(flip),b,1007,a)]. 1013 x \ ((x * x) * y) = (1 / x) \ y. [hyper(72,a,13,a(flip),b,1007,a),flip(a)]. 1014 (x * x) \ (x * y) = (1 / x) * y. [para(13(a,1),1007(a,1,2)),flip(a)]. 1015 (x * x) \ (x \ (x / y)) = 1 / ((y * x) * x). [para(944(a,1),1009(a,1,2))]. 1016 (1 / (x * y)) * (y \ (x \ 1)) = (x * y) \ ((x * y) \ 1). [para(123(a,1),1012(a,1,2))]. 1017 x * ((1 / x) \ y) = (x * x) * y. [para(1013(a,1),14(a,1,2))]. 1020 L(x \ y,x,x) = (1 / x) * y. [hyper(227,a,102,a,b,1014,a(flip)),flip(a)]. 1021 (1 / x) * (x * y) = L(y,x,x). [hyper(227,a,28,a,b,1014,a(flip))]. 1022 L(a(x,y,z),x * (y * z),x * (y * z)) = (1 / (x * (y * z))) * ((x * y) * z). [para(24(a,2),1020(a,1,1))]. 1023 T(T(x,y),y \ 1) = L(x,y,y). [hyper(227,a,821,a,b,1021,a(flip)),flip(a)]. 1024 L(x,y,1 / y) = L(x,y,y). [hyper(227,a,402,a(flip),b,1021,a(flip)),flip(a)]. 1025 L(x,y,y) \ 1 = (y * x) \ y. [para(1021(a,1),250(a,1,1))]. 1026 (1 / x) \ L(y,z,z) = x / ((z * y) \ z). [para(1021(a,1),342(a,1,2))]. 1027 R(x,y,y \ 1) = L(x,y,y). [hyper(227,a,813,a(flip),b,1023,a(flip)),flip(a)]. 1028 (x * y) * (y \ 1) = L(x,y,y). [hyper(227,a,679,a(flip),b,1023,a(flip)),flip(a)]. 1029 T(x,x \ 1) = L(x,x,x). [para(112(a,1),1023(a,1,1))]. 1030 L(x / y,y,y) = x * (y \ 1). [hyper(227,a,512,a(flip),b,1027,a(flip))]. 1031 (x \ (x / y)) \ 1 = L(y,x,x). [hyper(227,a,960,a,b,1028,a(flip)),flip(a)]. 1032 (x * (y * z)) * (z \ (y \ 1)) = L(x,y * z,y * z). [para(123(a,1),1028(a,1,2))]. 1033 1 / L(x,y,y) = y \ (y / x). [para(1031(a,1),62(a,1,2))]. 1034 L(x \ y,y,y) = (y \ x) \ 1. [para(62(a,1),1031(a,1,1,2)),flip(a)]. 1035 1 / L(x,y,y) != z | y \ (y / x) = z. [para(1031(a,1),292(a,1,2)),flip(b)]. 1036 1 / (x * L(y,z,z)) = (z \ (z / y)) / x. [para(1031(a,1),263(a,1,2,2))]. 1037 (x \ (x / y)) \ 1 != z | L(y,x,x) = z. [para(1033(a,1),281(a,1,1)),flip(b)]. 1038 L(x \ y,y,1 / y) = (y \ x) \ 1. [hyper(227,a,1024,a,b,1034,a(flip)),flip(a)]. 1039 T(x / y,x) \ ((((1 / y) * x) * ((1 / y) * x)) * z) = (1 / ((1 / y) * x)) \ z. [hyper(72,a,1017,a(flip),b,643,a)]. 1040 (x * x) * (1 / y) = x * (x / y). [para(339(a,1),1017(a,1,2)),flip(a)]. 1041 (x * x) * (y / x) = x * ((x * y) / x). [para(673(a,1),1017(a,1,2)),flip(a)]. 1042 L(x,y * x,1 / (y * x)) = ((y * x) \ y) \ 1. [para(13(a,1),1038(a,1,1))]. 1043 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(660(a,1),976(a,1,1))]. 1044 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(227,a,182,a,b,1043,a)]. 1045 T(x,x \ 1) \ x = (x \ 1) * x. [hyper(227,a,740,a,b,1043,a(flip)),flip(a)]. 1046 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1043(a,2),331(a,1))]. 1047 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1044(a,1),14(a,1,2))]. 1048 x / K(x \ 1,x) = (x \ 1) \ 1. [para(1044(a,1),62(a,1,2))]. 1049 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(166,a,1045,a(flip),b,664,a),flip(a)]. 1051 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(227,a,244,a,b,1047,a(flip)),flip(a)]. 1052 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(227,a,529,a(flip),b,1048,a(flip)),flip(a)]. 1053 R(x,x \ 1,x) = T(x,x \ 1). [hyper(227,a,114,a,b,1052,a)]. 1054 T(x,x \ 1) \ 1 = 1 / x. [hyper(227,a,798,a(flip),b,1049,a)]. 1055 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1049(a,1),383(a,1,2,1))]. 1056 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(709(a,1),1049(a,1,1)),flip(a)]. 1057 ((x \ 1) \ 1) \ 1 = 1 / x. [hyper(227,a,740,a(flip),b,1054,a(flip)),flip(a)]. 1058 1 / (1 / x) = (x \ 1) \ 1. [para(709(a,1),1054(a,1,1)),flip(a)]. 1059 T(x \ 1,x * y) = ((T(x,y) \ 1) \ 1) \ 1. [hyper(227,a,803,a,b,1057,a),flip(a)]. 1060 (((x \ y) \ 1) \ 1) \ 1 = (1 / y) * x. [hyper(227,a,313,a(flip),b,1057,a)]. 1061 ((x \ 1) \ 1) \ (1 / y) = (1 / x) / y. [hyper(73,a,1057,a(flip),b,259,a),flip(a)]. 1062 ((x \ (y \ 1)) \ 1) \ 1 = 1 / (y * x). [para(123(a,1),1057(a,1,1,1))]. 1063 1 / (1 / x) != y | (x \ 1) \ 1 = y. [para(1057(a,1),292(a,1,2)),flip(b)]. 1064 1 / ((1 / x) * y) = ((y \ x) \ 1) \ 1. [para(250(a,1),1057(a,1,1,1)),flip(a)]. 1065 ((x \ 1) \ 1) / y = 1 / (y * (1 / x)). [para(1057(a,1),263(a,1,2,2)),flip(a)]. 1066 (1 / x) \ ((y \ 1) \ 1) = x / (1 / y). [para(1057(a,1),317(a,1,2)),flip(a)]. 1067 ((x \ (y \ x)) \ 1) \ 1 = 1 / T(y,x). [para(655(a,1),1057(a,1,1,1))]. 1068 (x * ((y \ 1) \ 1)) / x = x / (x * (1 / y)). [para(1057(a,1),699(a,1,2,2)),flip(a)]. 1069 (x \ ((y \ 1) \ 1)) \ 1 = (1 / y) * ((x \ 1) \ 1). [para(1057(a,1),257(a,1,1)),flip(a)]. 1070 ((x \ 1) \ y) \ 1 = (y \ 1) * (1 / x). [para(1057(a,1),257(a,1,2)),flip(a)]. 1071 1 / (((1 / x) * y) * z) = ((z \ (y \ x)) \ 1) \ 1. [para(314(a,1),1057(a,1,1,1)),flip(a)]. 1072 (((x \ 1) \ 1) * y) / z = 1 / (z * (y \ (1 / x))). [para(1057(a,1),326(a,1,2,2,2)),flip(a)]. 1073 1 / (1 / (x * y)) = (y \ (x \ 1)) \ 1. [para(123(a,1),1058(a,2,1))]. 1074 x / (1 / (1 / y)) = (1 / x) \ (y \ 1). [para(1058(a,2),317(a,1,2))]. 1075 x / (1 / (1 / y)) != z | (1 / x) \ (y \ 1) = z. [para(1058(a,2),334(a,1,2))]. 1077 x * (((y \ 1) \ 1) * x) = (x / (1 / y)) * x. [para(1058(a,1),624(a,1,2,1))]. 1078 1 / ((x \ 1) * y) = ((y \ 1) \ 1) \ x. [para(1058(a,1),345(a,2,1))]. 1079 ((x \ 1) \ 1) * (1 / y) = 1 / (y / x). [para(1058(a,1),351(a,1,1))]. 1081 (T(x,y) \ x) * T(x,y) = x. [hyper(274,a,981,a)]. 1082 x \ (y * T(y,z)) = (x \ y) * T(y,z). [hyper(78,a,981,a)]. 1083 (x * y) * T(x * y,z) = x * (y * T(x * y,z)). [para(13(a,1),981(a,1,2,1)),flip(a)]. 1085 x / T(x,y) = T(x,y) \ x. [hyper(85,a,1081,a)]. 1086 (T(x,y) \ x) \ x = T(x,y). [hyper(78,a,1081,a)]. 1089 x * (T(x,y) \ 1) = x / T(x,y). [hyper(227,a,664,a,b,1085,a),flip(a)]. 1090 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(227,a,634,a,b,1085,a(flip)),flip(a)]. 1091 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(73,a,1085,a(flip),b,634,a)]. 1092 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1085(a,1),922(a,2,2))]. 1093 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(166,a,634,a,b,1089,a)]. 1094 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(577,a,1090,a)]. 1095 (T(x,y) \ x) \ 1 = x \ T(x,y). [para(1090(a,1),250(a,1,1))]. 1096 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(1091(a,2),65(a,1,1))]. 1098 R(x,T(y,z) \ y,(T(y,z) \ y) \ 1) = (x * (T(y,z) \ y)) * (y \ T(y,z)). [para(1095(a,1),184(a,1,2)),flip(a)]. 1099 (x \ y) \ ((x \ y) / x) = (y * x) \ y. [hyper(78,a,998,a)]. 1100 (x / y) / (1 / y) = (y * (1 / x)) \ y. [hyper(73,a,339,a(flip),b,1003,a)]. 1101 (x \ y) \ (1 / x) = (y \ x) * (1 / x). [para(14(a,1),1003(a,1,1,1)),flip(a)]. 1102 x \ (1 / y) != z * (1 / y) | (y * x) \ y = z. [para(1003(a,1),20(a,1))]. 1103 ((x * y) \ y) * (1 / y) = T(x,y) \ (1 / y). [para(113(a,1),1003(a,1,1,1))]. 1104 ((x * (y * z)) \ (x * y)) * (1 / (x * y)) = L(z,y,x) \ (1 / (x * y)). [para(100(a,1),1003(a,1,1,1))]. 1105 (x * y) * (y \ 1) != z | L(x,y,y) = z. [para(960(a,1),1037(a,1))]. 1106 T(x,1 / x) = (x \ 1) \ 1. [para(65(a,1),1056(a,1,1))]. 1107 (x \ 1) \ 1 != y | 1 / (1 / x) = y. [para(1056(a,1),799(a,1))]. 1108 T(x,1 / x) = T(x,x \ 1). [hyper(227,a,114,a,b,1106,a)]. 1109 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1106(a,1),702(a,1,1))]. 1110 R(x,1 / x,x) = T(x,x \ 1). [hyper(227,a,896,a,b,1108,a(flip)),flip(a)]. 1111 T(x,x \ 1) / x = K(x,1 / x). [para(1108(a,1),702(a,1,1))]. 1112 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1108(a,1),829(a,1,1))]. 1113 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1110(a,1),46(a,1,1)),flip(a)]. 1114 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(321,a,1109,a)]. 1115 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(65(a,1),1109(a,1,1,1)),flip(a)]. 1116 (x \ 1) * K(x,1 / x) = 1 / x. [para(1114(a,1),14(a,1,2))]. 1117 ((x \ 1) \ 1) \ (1 / y) = 1 / (y * x). [hyper(227,a,325,a(flip),b,1061,a)]. 1118 ((x \ 1) \ 1) \ (1 / y) != z | 1 / (y * x) = z. [para(1061(a,2),349(a,1))]. 1119 (x \ ((y \ (z \ 1)) \ 1)) \ 1 = (1 / (z * y)) * ((x \ 1) \ 1). [para(1062(a,1),257(a,1,1)),flip(a)]. 1120 1 / (x * (1 / y)) = (y \ 1) \ (1 / x). [hyper(321,a,1065,a),flip(a)]. 1121 1 / (x * (1 / y)) != z | (y \ 1) \ (1 / x) = z. [para(1065(a,1),321(a,1))]. 1122 ((x \ 1) * (1 / y)) / z = ((y \ 1) \ x) \ (1 / z). [hyper(73,a,1070,a(flip),b,259,a)]. 1123 ((x * (y \ 1)) \ z) \ 1 = (z \ 1) * (1 / (y / x)). [para(125(a,1),1070(a,1,1,1))]. 1125 (x \ 1) * ((y \ 1) * (1 / x)) = (y / (x \ 1)) \ (x \ 1). [para(1070(a,1),663(a,1,2))]. 1126 (1 / (1 / x)) \ y = ((x \ 1) \ 1) \ y. [hyper(227,a,345,a(flip),b,1078,a(flip)),flip(a)]. 1127 (1 / x) \ (((y \ 1) \ 1) \ z) = x / ((z \ 1) * y). [hyper(72,a,1078,a(flip),b,337,a)]. 1128 1 / ((x \ (y \ 1)) * z) = ((z \ 1) \ 1) \ (y * x). [para(123(a,1),1078(a,1,2,1))]. 1129 1 / (x / (1 / y)) = (y \ 1) * (1 / x). [para(65(a,1),1079(a,1,1,1)),flip(a)]. 1130 1 / (x / ((1 / y) * z)) = ((z \ y) \ 1) * (1 / x). [para(250(a,1),1079(a,1,1,1)),flip(a)]. 1131 ((x \ 1) \ 1) * ((1 / y) * z) = 1 / ((z \ y) / x). [para(313(a,1),1079(a,1,2))]. 1132 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [para(1092(a,1),65(a,1,1))]. 1133 (x * (1 / (y * x))) \ x = y / (1 / x). [para(15(a,1),1100(a,1,1)),flip(a)]. 1134 (x * ((y \ 1) \ 1)) \ (1 / (y \ (1 / x))) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). [para(320(a,1),1101(a,1,1))]. 1135 R(x,y,y \ 1) != z | L(x,y,y) = z. [para(184(a,1),1105(a,1))]. 1136 T(T(x,y),y \ 1) != z | L(x,y,y) = z. [para(679(a,2),1105(a,1))]. 1137 ((x \ (y \ 1)) \ 1) \ (1 / z) = 1 / (z * (y * x)). [para(123(a,1),1117(a,1,1,1))]. 1138 1 / (x * ((1 / y) * z)) = ((z \ y) \ 1) \ (1 / x). [para(250(a,1),1117(a,1,1,1)),flip(a)]. 1139 1 / (x / (1 / y)) = ((x \ 1) \ y) \ 1. [hyper(227,a,1070,a,b,1129,a)]. 1140 x / (y / (1 / x)) = x * (1 / (y * x)). [para(1133(a,1),62(a,1,2))]. 1141 (1 / x) * (x * (1 / (y * x))) = 1 / (y / (1 / x)). [para(1133(a,1),313(a,1,2)),flip(a)]. 1142 (1 / (x * y)) \ y = (x / (1 / y)) * y. [para(1133(a,1),950(a,1,1)),flip(a)]. 1143 T(T(x,y * z),z \ (y \ 1)) != u | L(x,y * z,y * z) = u. [para(123(a,1),1136(a,1,2))]. 1144 (1 / x) * (x * y) != z | L(y,x,x) = z. [para(821(a,1),1136(a,1))]. 1145 (1 / x) \ (((y \ 1) \ z) \ 1) = x / (y / (1 / z)). [hyper(72,a,1139,a(flip),b,337,a)]. 1146 x / (1 / (1 / x)) = x * (1 / x). [para(11(a,1),1140(a,2,2,2))]. 1147 (x * (1 / (y * x))) \ x != z | y / (1 / x) = z. [para(1140(a,1),281(a,1,1)),flip(b)]. 1148 x / (1 / (1 / x)) = K(x,1 / x). [hyper(227,a,235,a,b,1146,a)]. 1149 K(x,1 / x) * (1 / (1 / x)) = x. [para(1148(a,1),16(a,1,1))]. 1150 L(x,1 / x,x) = 1 / (1 / x). [hyper(17,a,612,a,b,1149,a),flip(a)]. 1151 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1150(a,1),40(a,2,1))]. 1152 L(x,y,1 / y) != z | L(x,y,y) = z. [para(402(a,1),1144(a,1))]. 1154 L(x,y,y) != z | (1 / y) * (y * x) = z. [para(1024(a,1),404(a,1))]. 1155 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(92(a,1),464(a,1,1)),flip(a)]. 1157 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),474(a,1,1))]. 1158 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(100(a,1),474(a,1,2,2))]. 1159 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. [para(244(a,1),474(a,1,2))]. 1160 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(89(a,1),474(a,1,2,2))]. 1161 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(182(a,2),475(a,1,2))]. 1162 L(x,y,y) != z | L(x,y,1 / y) = z. [para(1021(a,1),476(a,1))]. 1165 ((x * (1 / y)) * (y / z)) / (1 / z) != u | R(x,1 / y,y / z) = u. [para(337(a,1),506(a,1,2))]. 1167 L(x,y,y) != z | R(x,y,y \ 1) = z. [para(1028(a,1),508(a,1))]. 1169 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(420,a,xx,b,633,a),flip(a)]. 1170 x * T(((1 / y) * z) * x,u) = T(x / (z \ y),u) * x. [para(313(a,1),646(a,1,2,1,1))]. 1171 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),669(a,1,1)),flip(a)]. 1172 x * (y * ((x \ 1) \ 1)) = (1 / (x * y)) \ x. [para(320(a,1),672(a,1,2))]. 1173 (x / (y \ z)) * x = (x / z) * (y * x). [hyper(227,a,352,a(flip),b,675,a(flip))]. 1174 ((x / y) * (z * x)) / x = x / (z \ y). [hyper(73,a,352,a(flip),b,675,a(flip))]. 1175 (x * (y * z)) / z = z / (y \ (x \ z)). [hyper(73,a,133,a(flip),b,1173,a)]. 1176 (x / (y * z)) * (y * x) = (x / z) * x. [para(13(a,1),1173(a,1,1,2)),flip(a)]. 1178 ((x / y) * (z * x)) \ 1 = x \ ((x / (z \ y)) \ 1). [para(1173(a,1),123(a,1,1))]. 1179 (x / (y \ z)) * x != u | (x / z) * (y * x) = u. [para(1174(a,1),207(a,1,1)),flip(b)]. 1180 (x / (y \ (z \ x))) \ 1 = x * ((z * (y * x)) \ 1). [para(1175(a,1),125(a,1,1))]. 1181 x / ((1 / x) * y) = (x / y) * x. [hyper(153,a,1176,a)]. 1182 (x * y) / (z * y) = y / (z * (x \ y)). [hyper(73,a,133,a(flip),b,1176,a)]. 1183 (x / ((y / x) * z)) * y = (x / z) * x. [para(16(a,1),1176(a,1,2))]. 1185 ((x / y) * x) \ x = (1 / x) * y. [para(1181(a,1),65(a,1,1))]. 1187 (x / (x / y)) * x = x / (1 / y). [para(337(a,1),1181(a,1,2)),flip(a)]. 1188 x / (((1 / y) * z) * (y \ 1)) = (1 / x) \ ((y / z) * y). [para(1181(a,1),341(a,2,2))]. 1189 (x \ y) / ((1 / (x \ y)) * y) = ((y * x) \ y) * (x \ y). [para(967(a,1),1181(a,2,1))]. 1190 (1 / x) * (y \ x) = (y * x) \ x. [para(62(a,1),1185(a,1,1,1)),flip(a)]. 1191 ((x / y) * (z * x)) \ x = (1 / x) * (z \ y). [para(1173(a,1),1185(a,1,1))]. 1192 x \ (x / (1 / y)) = (1 / (x / y)) * x. [hyper(72,a,1187,a(flip),b,624,a)]. 1193 T(x \ 1,y) = (x * y) \ y. [hyper(227,a,794,a(flip),b,1190,a(flip)),flip(a)]. 1194 T(x \ 1,y) * z = ((x * y) \ y) * z. [hyper(22,a,1193,a)]. 1195 T((x / y) \ 1,y) = x \ y. [para(16(a,1),1193(a,2,1))]. 1196 x / T(y \ 1,x) = y * x. [para(1193(a,2),62(a,1,2))]. 1197 T(x,y) = ((1 / x) * y) \ y. [para(65(a,1),1193(a,1,1))]. 1198 T(x * (y \ 1),z) = ((y / x) * z) \ z. [para(125(a,1),1193(a,1,1))]. 1199 (1 / x) \ (y \ x) = (y / x) \ x. [hyper(72,a,1195,a(flip),b,794,a)]. 1200 ((x / y) \ 1) * y = y * (x \ y). [para(1195(a,1),113(a,1,2)),flip(a)]. 1201 T(x * (y \ 1),x) = y \ x. [para(125(a,1),1195(a,1,1))]. 1202 x / T(y,x) = (1 / y) * x. [para(65(a,1),1196(a,1,2,1))]. 1203 (x * y) \ y != z | T(x \ 1,y) = z. [para(1196(a,1),281(a,1,1)),flip(b)]. 1205 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(728(a,1),1196(a,1,2))]. 1206 (((1 / x) * (1 / y)) \ 1) / y = T(x,1 / y). [hyper(227,a,318,a,b,1197,a),flip(a)]. 1207 x / T(y,x) != z | (1 / y) * x = z. [para(1197(a,2),292(a,1,2)),flip(b)]. 1208 T(x,y) = (1 / (y \ x)) \ y. [para(313(a,2),1197(a,2,1))]. 1209 T(x * y,x) = (1 / y) \ x. [para(335(a,1),1197(a,2,1))]. 1210 (T(x,y) / y) \ x = T(y,x). [para(631(a,2),1197(a,2,1)),flip(a)]. 1211 ((x \ (x \ 1)) * y) \ y = T(x * x,y). [para(986(a,1),1197(a,2,1,1)),flip(a)]. 1212 L(x,y,y) \ (y * x) = T(y,y * x). [para(1021(a,1),1197(a,2,1)),flip(a)]. 1213 R(x \ 1,y,y \ 1) = (x \ y) / y. [hyper(73,a,1201,a(flip),b,822,a),flip(a)]. 1214 T(T(x * (y \ 1),z),x) = T(y \ x,z). [para(1201(a,1),38(a,1,1)),flip(a)]. 1215 (x * (y \ 1)) * x = x * (y \ x). [para(1201(a,1),113(a,1,2)),flip(a)]. 1216 (x * (y \ x)) / x = x * (y \ 1). [para(1201(a,1),161(a,1,1,2))]. 1217 T(x * (y \ (z \ 1)),x) = (z * y) \ x. [para(123(a,1),1201(a,1,1,2))]. 1218 T(x * (y * (z \ 1)),x) = (z / y) \ x. [para(125(a,1),1201(a,1,1,2))]. 1219 x \ ((x * (y \ 1)) \ 1) = (y \ x) \ (x \ 1). [para(1201(a,1),446(a,1,1)),flip(a)]. 1220 (x * (y \ 1)) \ x = x * ((y \ x) \ 1). [para(1201(a,1),659(a,1,2,1)),flip(a)]. 1221 T(x,y) \ y = T(x \ y,y). [para(659(a,1),1201(a,1,1)),flip(a)]. 1222 T(x,y) / y = x / T(y,x). [hyper(227,a,631,a,b,1202,a),flip(a)]. 1223 x / T(y,x) = T(x / y,x). [hyper(227,a,629,a,b,1202,a)]. 1224 (1 / (x / y)) * y = y / (y \ x). [para(115(a,1),1202(a,1,2)),flip(a)]. 1225 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(189(a,1),1202(a,1,2)),flip(a)]. 1226 ((1 / x) * y) \ y != z | T(x,y) = z. [para(1202(a,1),281(a,1,1)),flip(b)]. 1227 (x / T(y,x)) * y = T(x,y). [para(1202(a,2),625(a,2,1)),flip(a)]. 1228 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(728(a,1),1202(a,1,2)),flip(a)]. 1229 T(x,y) = (y \ x) / (y \ 1). [hyper(227,a,317,a,b,1208,a)]. 1230 T(x,y) != z | (y \ x) / (y \ 1) = z. [para(1208(a,2),580(a,1))]. 1231 T(x * y,x) = y / (x \ 1). [hyper(227,a,317,a,b,1209,a)]. 1232 x * ((1 / y) \ x) = (x * y) * x. [para(1209(a,1),113(a,1,2))]. 1233 T(x * y,x) \ y = x \ 1. [para(1209(a,2),279(a,1,1))]. 1234 T((1 / x) * y,1 / x) != z | y / x = z. [para(1209(a,2),350(a,1))]. 1235 T(x * y,x) != z | y / (x \ 1) = z. [para(1209(a,2),580(a,1))]. 1236 T(x * y,x) * y = y * (x * y). [para(1209(a,2),619(a,1,1))]. 1237 T(T(x * y,x),y) = x * y. [para(1209(a,2),621(a,1,1))]. 1238 x * (((1 / y) \ x) \ 1) = (x * y) \ x. [para(1209(a,1),659(a,1,2,1))]. 1239 T(T(x * y,x),y) != z | x * y = z. [para(1209(a,2),641(a,1,1))]. 1240 T(x,y) \ y = x \ T(y,x). [hyper(227,a,771,a(flip),b,1221,a)]. 1241 x * (T(x,y) \ y) = T(y,x). [para(1221(a,2),770(a,1,2))]. 1242 (x / T(y,x)) * y != z | T(x,y) = z. [para(1222(a,1),207(a,1,1)),flip(b)]. 1244 T(x,y) * (y \ 1) = y \ x. [para(1229(a,2),16(a,1,1))]. 1245 (x \ 1) \ (x \ y) = T(T(y,x),x \ 1). [para(1229(a,2),115(a,1,1)),flip(a)]. 1246 x * (y / (x \ 1)) = (x * y) * x. [para(1231(a,1),113(a,1,2))]. 1247 T(T(x * y,x),x \ 1) = (x \ 1) \ y. [para(1231(a,2),115(a,1,1))]. 1248 (x * (y / (x \ 1))) / x = x * y. [para(1231(a,1),161(a,1,1,2))]. 1249 T(x * (y \ 1),x) != z | y \ x = z. [para(1231(a,2),300(a,1))]. 1250 T(x * y,x) != z | (1 / y) \ x = z. [para(1231(a,2),334(a,1))]. 1251 x / (y \ 1) != z | T(y * x,y) = z. [para(1233(a,1),292(a,1,2)),flip(b)]. 1252 T(x,y) * (x \ T(y,x)) = y. [para(1240(a,1),14(a,1,2))]. 1253 T(x,y) / (T(y,x) \ x) = y. [para(1240(a,2),62(a,1,2))]. 1254 T(x / T(y,x),y) = T(y,x) \ x. [hyper(166,a,1227,a,b,1241,a)]. 1256 T(x,1 / y) * y = (1 / y) \ x. [para(65(a,1),1244(a,1,2))]. 1257 (x \ y) * (x \ 1) = x \ (y / x). [para(115(a,1),1244(a,1,1))]. 1258 x \ ((x * y) / x) = y * (x \ 1). [para(160(a,1),1244(a,1,1)),flip(a)]. 1259 (x \ 1) \ (T(y,x) \ 1) = (x \ y) \ 1. [para(1244(a,1),123(a,1,1)),flip(a)]. 1260 T(x,(1 / y) * z) * (z \ y) = ((1 / y) * z) \ x. [para(250(a,1),1244(a,1,2))]. 1261 x \ ((1 / x) \ y) = (y * x) * (x \ 1). [para(621(a,1),1244(a,1,1)),flip(a)]. 1262 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [para(728(a,1),1244(a,1,1))]. 1263 L(x \ y,z,u) * (x \ 1) = x \ L(y / x,z,u). [para(179(a,1),1244(a,1,1))]. 1264 T(x,y) \ y != z | x \ T(y,x) = z. [para(1252(a,1),282(a,1,2)),flip(b)]. 1265 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),1253(a,1,2,1))]. 1266 (1 / ((x / y) \ y)) \ ((y \ x) \ 1) = (y / ((x / y) \ y)) \ ((x / y) \ y). [para(660(a,1),1199(a,1,2))]. 1267 (x * ((y \ x) \ 1)) * x = (y \ 1) \ x. [hyper(227,a,784,a(flip),b,1215,a)]. 1268 (x * (y * (z \ 1))) * x = x * ((z / y) \ x). [para(125(a,1),1215(a,1,1,2))]. 1269 (x * (y \ x)) \ (x * (y \ 1)) = (y \ 1) \ ((y \ 1) / x). [para(1215(a,1),1000(a,1,1))]. 1270 x * ((x / y) \ 1) = (x * y) / x. [para(65(a,1),1216(a,1,1,2)),flip(a)]. 1271 (x * (y \ 1)) \ x != z | x * ((y \ x) \ 1) = z. [para(1216(a,1),707(a,1,1))]. 1272 1 / (x \ (y / x)) = x / (x \ y). [hyper(577,a,1224,a)]. 1273 (x / (x \ y)) / x != z | 1 / (y / x) = z. [para(1224(a,1),293(a,1,1)),flip(b)]. 1274 (1 / x) \ (y / (y \ z)) = x / (y \ (z / y)). [para(1224(a,1),342(a,1,2))]. 1275 ((1 / x) * (y \ 1)) \ y = (y * x) * y. [hyper(227,a,780,a,b,1232,a(flip)),flip(a)]. 1276 (x * T(y,x \ 1)) * x = x * (x * y). [para(692(a,1),1232(a,1,2)),flip(a)]. 1277 x * ((1 / (x \ 1)) \ (y / (x \ 1))) = (x * ((x \ 1) * y)) * x. [para(673(a,2),1246(a,1,2))]. 1278 x * (y * (x \ 1)) = (x * y) / x. [para(15(a,1),1248(a,1,1,2)),flip(a)]. 1280 (x \ (y \ 1)) * (y \ 1) = x \ (y \ (1 / y)). [hyper(72,a,1257,a(flip),b,938,a),flip(a)]. 1281 ((x * y) \ z) * (y \ (x \ 1)) = (x * y) \ (z / (x * y)). [para(123(a,1),1257(a,1,2))]. 1282 ((x / y) \ z) * (y * (x \ 1)) = (x / y) \ (z / (x / y)). [para(125(a,1),1257(a,1,2))]. 1283 1 / (x \ (y / x)) != z | x / (x \ y) = z. [para(1257(a,1),298(a,1,2))]. 1284 ((1 / x) \ (y \ 1)) * (y \ 1) = x * (y \ (1 / y)). [para(1257(a,1),909(a,2,2))]. 1285 T(x \ (y / x),x \ y) = x \ (x \ y). [para(1257(a,1),1201(a,1,1))]. 1286 ((x * y) / x) \ x = y \ ((y * x) / y). [hyper(227,a,666,a,b,1258,a),flip(a)]. 1287 x * (y * (x \ 1)) != z | (x * y) / x = z. [para(1258(a,1),205(a,1,2)),flip(b)]. 1288 1 / ((x * y) / x) = (x / y) / x. [para(1270(a,1),263(a,1,2))]. 1290 1 / (x \ (1 / x)) = (1 / x) \ x. [hyper(227,a,317,a(flip),b,1272,a)]. 1291 1 / (x / (x \ y)) != z | ((x \ (y / x)) \ 1) \ 1 = z. [para(1272(a,1),1063(a,1,2))]. 1292 1 / (x \ (x / (y \ (z \ x)))) = x / (x \ (z * (y * x))). [para(1175(a,1),1272(a,1,2,2))]. 1293 (x * y) / x != x * z | y * (x \ 1) = z. [para(1278(a,1),19(a,1))]. 1294 ((1 / x) * y) / (1 / x) = (1 / x) * (y * x). [para(65(a,1),1278(a,1,2,2)),flip(a)]. 1295 x \ ((x * y) / x) != z | y * (x \ 1) = z. [para(1278(a,1),282(a,1,2)),flip(b)]. 1297 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(186(a,1),1207(a,1,2))]. 1298 L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. [para(264(a,1),1207(a,1,2))]. 1299 x \ (1 / T(y,x \ 1)) != z | (1 / y) * (x \ 1) = z. [para(318(a,1),1207(a,1))]. 1300 L(x \ 1,y,y) = (x \ y) / y. [hyper(1135,a,1213,a)]. 1301 L(x \ 1,y,y) = (y * x) \ y. [hyper(227,a,967,a(flip),b,1300,a)]. 1302 ((1 / x) \ y) / y = L(x,y,y). [para(65(a,1),1300(a,1,1)),flip(a)]. 1303 L(x \ 1,y,y) != z | (y * x) \ y = z. [para(1300(a,2),971(a,1))]. 1304 L(L(x \ 1,y,z),u,u) = L((u * x) \ u,y,z). [para(1301(a,1),45(a,1,1)),flip(a)]. 1305 (x * (1 / y)) \ x = L(y,x,x). [para(65(a,1),1301(a,1,1)),flip(a)]. 1306 L(x,y,y) * y = (1 / x) \ y. [para(1302(a,1),16(a,1,1))]. 1307 L(x,y,y) * y != z | (1 / x) \ y = z. [para(1302(a,1),207(a,1,1)),flip(b)]. 1308 L(x,1 / y,1 / y) = (x / y) / (1 / y). [para(339(a,1),1302(a,1,1)),flip(a)]. 1309 R(L(x,y,y),y,z) = (((1 / x) \ y) * z) / (y * z). [para(1302(a,1),110(a,1,1))]. 1311 (x / (x \ y)) / x = L(x / y,x,x). [para(796(a,1),1302(a,1,1))]. 1313 (x / y) / (1 / y) = L(x,y,y). [hyper(227,a,1100,a,b,1305,a(flip)),flip(a)]. 1314 L(x * y,y,y) = x / (1 / y). [hyper(227,a,1133,a(flip),b,1305,a(flip))]. 1315 x / L(y,x,x) = x * (1 / y). [para(1305(a,1),62(a,1,2))]. 1316 x / L(y,x,x) != z | x * (1 / y) = z. [para(1305(a,1),292(a,1,2)),flip(b)]. 1317 L(T(x,y),y,y) = y \ ((1 / x) \ y). [hyper(72,a,1306,a(flip),b,176,a),flip(a)]. 1318 L(x,y,y) * (1 / y) = x / y. [para(1313(a,1),16(a,1,1))]. 1319 (x / (y \ z)) / ((1 / z) * y) = L(x,y \ z,y \ z). [para(313(a,1),1313(a,1,2))]. 1320 L(x * y,y,1 / y) = x / (1 / y). [hyper(1162,a,1314,a)]. 1321 T(T(x * y,y),y \ 1) = x / (1 / y). [hyper(227,a,1023,a,b,1314,a(flip)),flip(a)]. 1322 (x * (1 / y)) \ x != z | L(y,x,x) = z. [para(1315(a,1),281(a,1,1)),flip(b)]. 1324 (x / y) \ (L(x,y,y) * ((1 / y) * z)) = L(z,1 / y,L(x,y,y)). [para(1318(a,1),28(a,2,1)),flip(a)]. 1325 (x / y) / (1 / y) != z | L(x,y,y) = z. [para(1318(a,1),293(a,1,1)),flip(b)]. 1326 ((1 / x) * y) * (1 / x) = (x \ y) / x. [para(1020(a,1),1318(a,1,1))]. 1327 ((x / y) * z) \ z != u | T(y * (x \ 1),z) = u. [para(263(a,1),1226(a,1,1,1))]. 1328 (x * y) / x != z | (y \ ((x * y) / x)) / (y \ 1) = z. [para(192(a,1),1230(a,1))]. 1329 T(x * (y \ z),x) != u | ((1 / z) * y) \ x = u. [para(250(a,1),1249(a,1,1,2))]. 1330 T(x \ y,y) != z | x \ T(y,x) = z. [para(1221(a,1),1264(a,1))]. 1331 (1 / x) \ (y / (1 / x)) != z | x * (y * x) = z. [para(1320(a,1),594(a,1,2))]. 1332 R(x,y,z) = z / (y * ((x * y) \ z)). [hyper(506,a,1182,a)]. 1333 x / (y * ((z * y) \ x)) != u | R(z,y,x) = u. [para(1182(a,1),506(a,1))]. 1334 ((x / y) * x) / z = x / ((z / x) * y). [hyper(85,a,1183,a)]. 1335 T(x * (y \ 1),y) = (1 / y) * x. [hyper(227,a,1185,a(flip),b,1198,a)]. 1336 T(x * (y \ 1),y) = x * T(1 / y,x). [hyper(227,a,113,a,b,1335,a)]. 1337 ((1 / x) * y) * (x \ 1) = x \ (y * (x \ 1)). [para(1335(a,1),1244(a,1,1))]. 1338 ((x * x) \ y) \ y = T(x * x,y). [para(990(a,1),1211(a,1,1))]. 1339 T(x \ y,x) = T((1 / x) * y,y). [para(1335(a,1),1214(a,1,1)),flip(a)]. 1340 (x \ (y \ 1)) * (z * (x \ (y \ 1))) = ((y * x) \ z) * (x \ (y \ 1)). [para(1217(a,1),1236(a,1,1)),flip(a)]. 1341 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(420,a,xx,b,1228,a),flip(a)]. 1342 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(85,a,1228,a)]. 1343 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1228(a,1),167(a,2)),flip(a)]. 1344 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1228(a,1),102(a,2,1))]. 1345 x * ((x \ 1) * (y \ 1)) = (x * y) \ x. [para(333(a,1),1238(a,1,2))]. 1346 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(227,a,1023,a(flip),b,1245,a)]. 1347 (x \ 1) \ (x \ y) = L(y,x,1 / x). [hyper(227,a,1024,a,b,1346,a)]. 1348 L(x * y,x,x) = (x \ 1) \ y. [para(13(a,1),1346(a,1,2)),flip(a)]. 1349 (x \ 1) * L(y,x,x) = x \ y. [para(1346(a,1),14(a,1,2))]. 1350 (x \ 1) * L(y,x,x) != z | x \ y = z. [para(1346(a,1),205(a,1,2)),flip(b)]. 1352 (x * (1 / (x * y))) \ x = (x \ 1) \ y. [hyper(227,a,1305,a,b,1348,a(flip)),flip(a)]. 1353 (1 / x) \ ((x \ 1) \ y) = x * (x * y). [hyper(72,a,1348,a(flip),b,1021,a)]. 1354 (x \ 1) \ ((y * (z / x)) * x) = L(((1 / x) \ y) * z,x,x). [para(121(a,1),1348(a,1,1)),flip(a)]. 1355 (1 / (x * y)) \ x = ((x \ 1) \ y) * x. [para(1348(a,1),1306(a,1,1)),flip(a)]. 1356 ((x \ 1) \ y) * (1 / x) = (x * y) / x. [para(1348(a,1),1318(a,1,1))]. 1357 x \ y != (x \ 1) * z | L(y,x,x) = z. [para(1349(a,1),19(a,1))]. 1358 (x \ 1) * L(L(y,x,x),z,u) = x \ L(y,z,u). [para(45(a,1),1349(a,1,2))]. 1359 (x * (y \ 1)) * L(z,y / x,y / x) = (y / x) \ z. [para(125(a,1),1349(a,1,1))]. 1360 (x \ 1) * ((1 / x) * y) = x \ (x \ y). [para(1020(a,1),1349(a,1,2))]. 1361 (x \ 1) * (y * (x \ 1)) = x \ (y / x). [para(1030(a,1),1349(a,1,2))]. 1362 (x \ 1) * ((y \ x) / x) = x \ (y \ 1). [para(1300(a,1),1349(a,1,2))]. 1363 (x \ 1) * ((x * y) \ x) = x \ (y \ 1). [para(1301(a,1),1349(a,1,2))]. 1364 x \ ((1 / x) \ y) = L(y,x,x). [hyper(227,a,1028,a(flip),b,1261,a)]. 1365 x \ ((1 / x) \ y) != z | L(y,x,x) = z. [para(1261(a,2),1105(a,1))]. 1366 x \ ((1 / x) \ y) = L(y,x,1 / x). [hyper(227,a,1024,a,b,1364,a)]. 1367 x \ ((1 / x) \ (y \ 1)) = (x * y) \ x. [hyper(227,a,1301,a(flip),b,1364,a)]. 1368 x * L(y,x,x) = (1 / x) \ y. [para(1364(a,1),14(a,1,2))]. 1369 ((1 / x) \ y) * 1 = x * L(y,x,x). [para(1364(a,1),202(a,1,2)),flip(a)]. 1370 x \ (x / (y \ 1)) = L(y,x,x). [para(317(a,2),1364(a,1,2))]. 1371 L(1 / x,y,y) = y \ (y / x). [para(339(a,1),1364(a,1,2)),flip(a)]. 1372 (x * (1 / y)) \ (((y \ 1) \ (1 / x)) \ z) = L(z,x * (1 / y),x * (1 / y)). [para(1120(a,1),1364(a,1,2,1))]. 1373 (1 / x) \ y != x * z | L(y,x,x) = z. [para(1368(a,1),19(a,1))]. 1374 (1 / x) \ (x \ y) = x * ((1 / x) * y). [para(1020(a,1),1368(a,1,2)),flip(a)]. 1375 (1 / x) \ (y * x) = x * (y / (1 / x)). [para(1314(a,1),1368(a,1,2)),flip(a)]. 1376 (1 / x) \ (x * y) = x * ((x \ 1) \ y). [para(1348(a,1),1368(a,1,2)),flip(a)]. 1377 L(1 / x,y,1 / y) = y \ (y / x). [hyper(1162,a,1371,a)]. 1378 L(x,y,1 / y) \ y = (x \ 1) * y. [para(1366(a,1),976(a,1,1))]. 1379 (x * (1 / y)) * y = L(x,y,y). [hyper(17,a,121,a,b,1369,a(flip)),flip(a)]. 1380 L(x / (1 / y),y,y) = x * y. [hyper(306,a,1379,a),flip(a)]. 1381 L(x,y,y) / y = x * (1 / y). [hyper(85,a,1379,a)]. 1382 ((1 / x) * y) / x = (x \ y) * (1 / x). [hyper(73,a,1020,a(flip),b,1379,a)]. 1383 x * ((y * (z * (1 / x))) * x) = ((1 / x) \ y) * L(z,x,x). [para(1379(a,1),47(a,1,2)),flip(a)]. 1386 L(L(x,y,y),y,y) = x. [hyper(18,a,1318,a,b,1381,a(flip)),flip(a)]. 1387 L((x \ 1) \ y,x,x) = x * y. [para(1348(a,1),1386(a,1,1))]. 1388 x \ L(y,x,x) = (x \ 1) * y. [para(1386(a,1),1349(a,1,2)),flip(a)]. 1389 x * ((x \ 1) * y) = L(y,x,x). [para(13(a,1),1387(a,1,1)),flip(a)]. 1390 x * ((x \ 1) * y) != z | L(y,x,x) = z. [para(1388(a,1),205(a,1,2)),flip(b)]. 1391 x \ (y * (x \ 1)) = (x \ 1) * (y / x). [para(1030(a,1),1388(a,1,2))]. 1392 L(x,y \ 1,y) = L(x,y,y). [hyper(475,a,1389,a)]. 1393 T(T(x,y),y \ 1) = y * ((y \ 1) * x). [hyper(227,a,1023,a,b,1389,a),flip(a)]. 1394 x * ((x \ 1) * (y * x)) = y / (1 / x). [hyper(227,a,1314,a(flip),b,1389,a)]. 1395 T(x * (1 / y),y) = (y \ 1) * x. [hyper(166,a,1379,a,b,1389,a)]. 1396 (x * y) * ((y \ (x \ 1)) * z) = L(z,x * y,x * y). [para(123(a,1),1389(a,1,2,1))]. 1397 (x / y) * ((y * (x \ 1)) * z) = L(z,x / y,x / y). [para(125(a,1),1389(a,1,2,1))]. 1398 L(x,(1 / y) * z,(1 / y) * z) = ((1 / y) * z) * ((z \ y) * x). [para(250(a,1),1389(a,1,2,1)),flip(a)]. 1399 L(T(x,x \ 1),y,y) = y * ((x \ y) \ 1). [para(749(a,1),1389(a,1,2)),flip(a)]. 1400 L(x,y,y) != z | L(x,y \ 1,y) = z. [para(1389(a,1),475(a,1))]. 1401 (x \ (x / y)) \ 1 = L(y,x \ 1,x). [hyper(227,a,1031,a,b,1392,a),flip(a)]. 1402 L(x,y,y) != z | y * ((y \ 1) * x) = z. [para(1392(a,1),400(a,1))]. 1403 T(((1 / (x \ 1)) \ y) * (1 / x),x) = ((x \ 1) * (x \ 1)) * y. [hyper(227,a,1017,a(flip),b,1395,a)]. 1404 T(x * y,y \ 1) = ((y \ 1) \ 1) * x. [para(62(a,1),1395(a,1,1,2))]. 1405 ((1 / x) * y) \ x = ((x \ y) \ 1) * x. [para(481(a,1),1378(a,1,1))]. 1406 ((x \ y) \ 1) \ x = ((y \ x) \ 1) * x. [para(1038(a,1),1378(a,1,1))]. 1408 ((1 / x) * (y * (z \ 1))) \ (z / y) = ((z / y) * x) * (z / y). [para(125(a,1),1275(a,1,1,2))]. 1409 (x * T(x \ 1,y)) * x = x * (x * T(x \ 1,y)). [para(131(a,1),1276(a,1,1,2))]. 1410 x / ((x \ 1) \ y) != z | x * (1 / (x * y)) = z. [para(1348(a,1),1316(a,1,2))]. 1411 T(T(x * y,y \ 1),y) = x / (1 / y). [hyper(439,a,1321,a)]. 1412 (x * ((1 / y) * z)) \ x != u | L(z \ y,x,x) = u. [para(313(a,1),1322(a,1,1,2))]. 1413 (((x / y) * x) / z) \ x = (z / x) * y. [para(1334(a,2),65(a,1,1))]. 1414 (((x / y) * x) / z) \ x != u | (z / x) * y = u. [para(1334(a,2),281(a,1,1)),flip(b)]. 1415 T(x * (y \ 1),y) != z | (1 / y) * x = z. [para(1336(a,2),210(a,1))]. 1416 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1342(a,1),207(a,1,1)),flip(b)]. 1418 (x \ 1) * (y * (x \ 1)) != z | x \ (y / x) = z. [para(1030(a,1),1350(a,1,2))]. 1419 (x \ 1) * (y * x) != z | x \ (y / (1 / x)) = z. [para(1380(a,1),1350(a,1,2))]. 1420 (1 / (x * y)) \ ((y \ (x \ 1)) \ z) = (x * y) * ((x * y) * z). [para(123(a,1),1353(a,1,2,1))]. 1421 (1 / (x * y)) \ x != z * x | (x \ 1) \ y = z. [para(1355(a,2),20(a,1))]. 1423 (x \ 1) \ T(y,x) = y / (1 / x). [hyper(73,a,161,a(flip),b,1356,a),flip(a)]. 1425 (x * (y \ 1)) \ ((y \ 1) \ 1) = (y \ (x / y)) \ 1. [para(1361(a,1),123(a,1,1)),flip(a)]. 1426 (x \ 1) * (1 / T(x,y)) = x \ (T(x,y) \ 1). [para(1091(a,1),1362(a,1,2))]. 1427 x \ (y \ 1) != (x \ 1) * z | (x * y) \ x = z. [para(1363(a,1),19(a,1))]. 1430 T(x * ((1 / x) * y),x) = (x \ y) * x. [para(1374(a,1),621(a,1,1))]. 1431 (x * ((x \ 1) \ y)) \ x = y \ (x \ 1). [para(1376(a,1),332(a,1,1))]. 1432 1 / (x * (y \ x)) = (x \ y) * (1 / x). [hyper(227,a,328,a(flip),b,1382,a(flip)),flip(a)]. 1433 (x \ (y / x)) * (1 / x) = ((x \ y) / x) / x. [para(637(a,1),1382(a,1,1)),flip(a)]. 1434 (x * y) * ((y \ (x \ 1)) * z) != u | L(z,x * y,x * y) = u. [para(123(a,1),1390(a,1,2,1))]. 1435 (((1 / x) * y) * z) * ((z \ (y \ x)) * u) != w | L(u,((1 / x) * y) * z,((1 / x) * y) * z) = w. [para(314(a,1),1390(a,1,2,1))]. 1436 (1 / T(x,y)) \ (y \ 1) = (y \ 1) * x. [hyper(17,a,808,a,b,1393,a(flip)),flip(a)]. 1437 T(x * y,y \ 1) = T(y,y \ 1) * x. [hyper(227,a,244,a,b,1404,a)]. 1438 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(1239,a,1411,a),flip(a)]. 1439 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(227,a,182,a,b,1438,a)]. 1440 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1438(a,2),331(a,1))]. 1441 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(321,a,1439,a)]. 1442 K(x \ 1,x) * (1 / x) = x \ 1. [para(1439(a,1),16(a,1,1))]. 1443 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1439(a,1),65(a,1,1))]. 1444 x * K(x \ 1,x) = 1 / (1 / x). [para(1441(a,1),14(a,1,2))]. 1446 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1442(a,1),100(a,1,1))]. 1447 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1442(a,1),102(a,2,1))]. 1448 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1442(a,1),109(a,1,2))]. 1451 ((x * (1 / y)) / z) \ x = (z / x) * (x * y). [para(676(a,1),1413(a,1,1,1))]. 1452 (1 / ((1 / x) * y)) \ x = (x \ y) * x. [hyper(1250,a,1430,a)]. 1453 ((x \ 1) * y) \ (x \ 1) = (x * y) \ x. [para(13(a,1),1431(a,1,1,2)),flip(a)]. 1454 ((x \ 1) \ y) \ x = (y \ (x \ 1)) * x. [para(1431(a,1),950(a,1,1)),flip(a)]. 1455 ((x * y) \ ((x * y) * x)) * (1 / (x * y)) = 1 / ((x * y) * (y \ (y / x))). [para(1000(a,1),1432(a,1,2,2)),flip(a)]. 1456 (x \ 1) / ((x \ 1) * y) = 1 / T(y,x). [para(1436(a,1),62(a,1,2))]. 1457 (1 / (x * y)) \ (y \ 1) = (y \ 1) * ((1 / y) \ x). [para(621(a,1),1436(a,1,1,2))]. 1458 (T(x,x \ 1) * T(x,x \ 1)) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [hyper(72,a,1437,a,b,1041,a)]. 1459 (((x \ y) \ 1) \ 1) \ y = (y \ x) * y. [para(1064(a,1),1452(a,1,1))]. 1460 ((x \ 1) * (1 / y)) / (x \ 1) = 1 / T(y,x). [hyper(227,a,700,a,b,1456,a(flip)),flip(a)]. 1461 ((x \ 1) \ 1) \ y = (y \ (y / x)) * y. [para(65(a,1),1459(a,1,1,1,1))]. 1462 (x * ((y \ 1) \ 1)) \ x = x \ (x / y). [hyper(969,a,1461,a)]. 1463 x / (x \ (x / y)) = x * ((y \ 1) \ 1). [para(1462(a,1),62(a,1,2))]. 1464 x * (((y \ x) \ 1) \ 1) = x / (x \ y). [para(62(a,1),1463(a,1,2,2)),flip(a)]. 1465 ((x \ y) \ 1) / y = 1 / (y / (y \ x)). [para(1464(a,1),263(a,1,2)),flip(a)]. 1466 1 / (x / (x \ y)) = (y \ x) \ (1 / x). [hyper(321,a,1465,a),flip(a)]. 1468 L(x / y,x,x) = 1 / (y / x). [hyper(1273,a,1311,a),flip(a)]. 1469 L(x / y,x,x) != z | 1 / (y / x) = z. [para(1311(a,1),1273(a,1))]. 1470 L(x,1 / y,1 / y) = L(x,y,y). [hyper(227,a,1313,a(flip),b,1308,a)]. 1471 L(x,1 / y,1 / y) != z | L(x,y,y) = z. [para(1308(a,2),1325(a,1))]. 1472 ((1 / x) * (1 / y)) \ (1 / x) != z | L(y,x,x) = z. [para(1305(a,2),1471(a,1))]. 1473 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(73,a,377,a(flip),b,715,a)]. 1474 T(x,L(T(x,y),z,u)) = x. [hyper(167,a,716,a)]. 1475 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(1474(a,1),659(a,1,2,1))]. 1476 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(1474(a,1),1202(a,1,2)),flip(a)]. 1477 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(85,a,717,a),flip(a)]. 1478 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(73,a,100,a(flip),b,717,a),flip(a)]. 1479 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(242(a,1),723(a,1,1,1)),flip(a)]. 1480 T(x,R(T(x,y),z,u)) = x. [hyper(167,a,724,a)]. 1481 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(215,a,725,a)]. 1482 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(85,a,725,a),flip(a)]. 1483 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [hyper(420,a,725,a(flip),b,309,a(flip)),flip(a)]. 1484 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(73,a,725,a(flip),b,309,a(flip))]. 1485 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(735(a,1),207(a,1,1)),flip(b)]. 1486 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(735(a,1),289(a,1,1)),flip(b)]. 1487 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(219(a,1),735(a,1,1,2)),flip(a)]. 1488 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(65(a,1),736(a,1,1,2,1))]. 1489 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(736(a,1),207(a,1,1)),flip(b)]. 1490 (1 / x) \ (y \ (1 / y)) = x / ((1 / y) \ y). [para(318(a,1),762(a,1,2))]. 1491 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(115(a,1),776(a,1,2,1,2)),flip(a)]. 1492 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(114(a,1),776(a,1,2,1,2))]. 1493 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(777(a,1),161(a,1,1,2))]. 1494 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(777(a,1),162(a,1,2,2))]. 1495 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(777(a,1),210(a,1,2))]. 1496 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(732(a,1),777(a,2,1))]. 1497 ((1 / x) * y) * (1 / ((y \ x) / z)) = 1 / ((y \ x) / ((y \ x) \ z)). [para(313(a,1),804(a,1,1))]. 1498 (1 / x) \ L(x,y,y) = (y \ (y / x)) \ x. [para(1033(a,1),807(a,1,1)),flip(a)]. 1499 x / ((y * x) \ y) = (y \ (y / x)) \ x. [hyper(227,a,1026,a(flip),b,1498,a(flip)),flip(a)]. 1500 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),902(a,1,1,1)),flip(a)]. 1501 (1 / x) \ ((((1 / x) * y) * z) / u) = (y * (z * x)) / (u * x). [para(120(a,1),903(a,1,1)),flip(a)]. 1502 (x \ (y * (z * x))) / x = ((1 / x) * y) * z. [hyper(85,a,904,a)]. 1503 (x / y) * (y \ 1) = x / (y * y). [hyper(281,a,914,a)]. 1505 (x \ 1) \ (((1 / (x \ 1)) \ y) * z) = x \ ((x * (y * (z / (x \ 1)))) / x). [hyper(227,a,1258,a,b,918,a)]. 1506 (x \ (((1 / x) \ y) * z)) / x = y * (z / x). [hyper(73,a,918,a,b,xx)]. 1507 x / (y \ (((1 / (1 / x)) \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). [hyper(227,a,340,a,b,918,a(flip)),flip(a)]. 1508 ((1 / x) * (y / z)) * z = z \ ((z / x) * y). [para(339(a,1),918(a,1,2,1)),flip(a)]. 1509 (1 / x) \ ((L(1 * x,x,x) \ y) * z) = (y * (z / (1 / x))) * (1 / x). [para(1314(a,2),918(a,1,2,1,1))]. 1510 (x * (y * (x * y))) \ x = 1 / (y * (x * y)). [para(940(a,1),1008(a,1,1))]. 1511 (x \ (1 / x)) \ y = x * ((x \ 1) \ y). [para(1257(a,1),1011(a,1,1))]. 1512 T(x \ 1,y) * (1 / y) = T(x,y) \ (1 / y). [hyper(227,a,1194,a,b,1103,a(flip)),flip(a)]. 1513 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(227,a,1439,a(flip),b,1115,a)]. 1514 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1115(a,2),1440(a,1))]. 1515 L(x,x \ 1,x) = 1 / (1 / x). [hyper(1161,a,1444,a)]. 1516 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1515(a,1),44(a,1,1)),flip(a)]. 1517 x * (y * ((x \ 1) \ 1)) = ((x \ 1) \ y) * x. [hyper(227,a,1355,a(flip),b,1172,a)]. 1518 T((x \ 1) \ y,x) = y * ((x \ 1) \ 1). [hyper(166,a,1355,a(flip),b,1172,a)]. 1519 T((x \ 1) \ y,x) = y * T(x,x \ 1). [hyper(227,a,245,a,b,1518,a)]. 1520 T((x \ 1) \ (y \ 1),x) = (x \ y) \ 1. [hyper(227,a,257,a(flip),b,1518,a)]. 1521 x * (y * ((x \ 1) \ 1)) != z | ((x \ 1) \ y) * x = z. [para(1518(a,1),210(a,1,2))]. 1522 ((x \ 1) \ (y \ 1)) \ x = x * (((x \ y) \ 1) \ 1). [para(1520(a,1),659(a,1,2,1)),flip(a)]. 1523 (1 / x) * ((y / x) \ z) = ((x / z) * y) \ x. [para(16(a,1),1191(a,1,1,2)),flip(a)]. 1524 (1 / x) * (y \ (z \ x)) = (z * (y * x)) \ x. [para(62(a,1),1191(a,1,1,1)),flip(a)]. 1525 (1 / x) * ((y \ (1 / x)) \ z) = ((x / z) * (y \ 1)) \ x. [para(259(a,1),1191(a,1,1,2)),flip(a)]. 1526 x \ ((y \ 1) \ (x \ 1)) = (y \ x) \ (x \ 1). [para(123(a,1),1219(a,1,2))]. 1527 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(420,a,xx,b,1225,a),flip(a)]. 1528 T(1 / (1 / x),x \ 1) = x. [hyper(166,a,1225,a,b,1438,a(flip))]. 1530 L(T(x,x \ 1),1 / x,x) = x. [hyper(227,a,1151,a,b,1528,a(flip)),flip(a)]. 1531 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1528(a,1),38(a,1,1)),flip(a)]. 1532 ((1 / x) * y) * (x \ 1) = (x \ 1) * (y / x). [hyper(227,a,1391,a(flip),b,1337,a)]. 1533 T((1 / x) * y,x \ 1) = y / x. [hyper(166,a,1337,a,b,1391,a(flip))]. 1535 ((1 / x) \ y) / x = T(y,x \ 1). [para(14(a,1),1533(a,1,1)),flip(a)]. 1536 (1 / (x / y)) \ y = y * ((1 / y) * x). [para(1533(a,1),692(a,1,1,2))]. 1537 T(x,y \ 1) * y = (1 / y) \ x. [para(1535(a,1),16(a,1,1))]. 1538 ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = T(y,x \ 1) * (((1 / x) \ y) / x). [para(1535(a,1),926(a,1,1)),flip(a)]. 1539 T(x,1 / y) = T(x,y \ 1). [hyper(18,a,1256,a,b,1537,a),flip(a)]. 1541 (1 / (1 / x)) \ y = T(y,x) * (1 / x). [para(65(a,1),1537(a,1,1,2)),flip(a)]. 1542 (1 / x) \ ((x \ 1) * y) = ((1 / y) \ (x \ 1)) * x. [para(1209(a,1),1537(a,1,1)),flip(a)]. 1543 T(x,(y \ 1) \ 1) = T(x,y). [para(62(a,1),1539(a,1,2)),flip(a)]. 1544 T(x,1 / (1 / y)) = T(x,y). [para(65(a,1),1539(a,2,2))]. 1545 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(1539(a,1),113(a,1,2))]. 1546 (1 / x) * T(y,x \ 1) != z | y * (1 / x) = z. [para(1539(a,1),210(a,1,2))]. 1548 T(T(x * y,y \ 1),(y \ 1) \ 1) = x / (1 / y). [hyper(227,a,1411,a(flip),b,1543,a)]. 1549 x * T(y,(x \ 1) \ 1) = y * x. [para(1543(a,2),113(a,1,2))]. 1550 T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)). [para(655(a,1),1543(a,1,2,1))]. 1551 T(x / (1 / (1 / y)),y) = (1 / (1 / y)) \ x. [hyper(408,a,1544,a),flip(a)]. 1552 ((x \ 1) \ 1) \ y = T(y,x) * (1 / x). [hyper(227,a,1126,a(flip),b,1541,a(flip)),flip(a)]. 1553 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [hyper(227,a,633,a(flip),b,1545,a(flip)),flip(a)]. 1554 (1 / x) * (y * (x \ 1)) = (x \ y) * (1 / x). [para(626(a,1),1545(a,1,2))]. 1555 T(x,x \ 1) \ y = T(y,x) * (1 / x). [hyper(227,a,740,a,b,1552,a(flip)),flip(a)]. 1556 T(1 / x,y) * (1 / y) = 1 / (x * y). [hyper(227,a,1117,a(flip),b,1552,a(flip))]. 1557 T(x \ (1 / T(y,y \ 1)),T(y,y \ 1)) = T(x \ 1,y) * (1 / y). [hyper(407,a,1555,a)]. 1558 1 / ((1 / x) * (y * x)) = T(1 / y,x). [hyper(18,a,335,a,b,1556,a),flip(a)]. 1560 1 / T(x,x * y) = T(1 / x,y). [para(640(a,2),1558(a,1,2))]. 1561 T(1 / x,x \ y) = 1 / T(x,y). [para(14(a,1),1560(a,1,2,2)),flip(a)]. 1562 T(x,x * y) = T(1 / x,y) \ 1. [para(1560(a,1),65(a,1,1)),flip(a)]. 1563 T(1 / x,y) \ 1 != z | T(x,x * y) = z. [para(1560(a,1),281(a,1,1)),flip(b)]. 1564 T((1 / 1) \ (x * y),(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). [para(340(a,1),1561(a,1,1))]. 1565 T(x,x * y) = y \ ((1 / x) \ y). [hyper(227,a,655,a(flip),b,1562,a)]. 1566 T(x \ 1,(x \ 1) * y) = T(x,y) \ 1. [para(62(a,1),1562(a,2,1,1))]. 1567 T(x,x * y) = L(T(x,y),y,y). [hyper(227,a,1317,a,b,1565,a)]. 1568 (1 / x) \ (T(y,x) \ 1) = (y \ 1) * x. [hyper(72,a,1566,a(flip),b,640,a(flip))]. 1569 T((x \ 1) * y,y) = (T(x,y) \ 1) * y. [para(1566(a,1),656(a,1,1)),flip(a)]. 1570 T(T(x,y) \ 1,y \ 1) = x \ 1. [hyper(18,a,1537,a,b,1568,a(flip)),flip(a)]. 1571 ((1 / x) * (1 / x)) \ (T(y,x) \ 1) = (1 / (1 / x)) * ((y \ 1) * x). [para(1568(a,1),1007(a,1,2)),flip(a)]. 1572 T((x \ y) \ 1,x \ 1) = (y / x) \ 1. [para(115(a,1),1570(a,1,1,1))]. 1573 (T(x,y \ 1) \ 1) * y = y * (x \ 1). [para(1570(a,1),1549(a,1,2)),flip(a)]. 1574 (T(x,y) \ 1) * (1 / y) = (1 / y) * (x \ 1). [para(1570(a,1),1545(a,1,2)),flip(a)]. 1575 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(1570(a,1),1573(a,1,1,1)),flip(a)]. 1576 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(1572(a,1),1573(a,1,1,1))]. 1577 1 / (T(x,y) / (1 / x)) = x \ (T(x,y) \ 1). [hyper(227,a,1129,a,b,1426,a(flip)),flip(a)]. 1578 T(1 / T(x,y),y \ 1) = 1 / x. [para(1460(a,1),160(a,1,1))]. 1579 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(1477(a,2),207(a,1,1)),flip(b)]. 1580 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(102(a,1),1477(a,2,1,2))]. 1581 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(219(a,1),1477(a,2,1,2))]. 1582 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(379(a,1),1477(a,2,1,2))]. 1583 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(479(a,1),1477(a,2,1,2))]. 1584 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(157(a,1),1482(a,2,1,2))]. 1585 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(1482(a,1),109(a,1,1))]. 1587 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(511(a,1),1482(a,2,1,2))]. 1588 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(1482(a,1),215(a,1,1))]. 1589 ((1 / x) * y) * (z / x) = (x \ (y * z)) / x. [para(16(a,1),1502(a,1,1,2,2)),flip(a)]. 1591 ((1 / x) * (1 / (y * z))) * y = y \ ((y / x) * (1 / z)). [para(325(a,1),1508(a,1,1,2))]. 1592 (x \ ((x / y) * z)) \ 1 = x \ ((z / x) \ y). [para(1508(a,1),314(a,1,1))]. 1593 ((x \ (x \ 1)) * (y / z)) * z = z \ ((z / (x * x)) * y). [para(986(a,1),1508(a,1,1,1))]. 1594 (1 / x) * ((y / x) \ 1) = (x * y) \ x. [para(60(a,1),1523(a,2,1,1))]. 1595 (((x / y) * z) \ x) \ 1 = ((z / x) \ y) \ x. [para(1523(a,1),250(a,1,1))]. 1596 ((1 / x) \ y) \ (y \ 1) = y \ (x \ (y \ 1)). [para(65(a,1),1526(a,1,2,1)),flip(a)]. 1597 T((1 / x) \ (y \ 1),y) = (1 / (1 / y)) \ x. [para(1074(a,1),1551(a,1,1))]. 1598 (x \ (y \ x)) * (1 / x) = (1 / x) * (y \ 1). [para(124(a,1),1554(a,1,2)),flip(a)]. 1599 (T(x,y) \ 1) * (1 / x) = (1 / x) * (T(x,y) \ 1). [para(131(a,1),1574(a,1,1,1))]. 1600 ((x \ y) \ y) * (1 / y) = (1 / y) * ((x \ 1) \ 1). [para(787(a,1),1574(a,1,1))]. 1601 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(167,a,1575,a),flip(a)]. 1602 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(1601(a,1),62(a,1,2))]. 1603 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(65(a,1),1601(a,2,1,1))]. 1604 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),1601(a,1,1,1)),flip(a)]. 1605 T(((x / y) \ 1) \ 1,x) = (x \ y) \ 1. [para(644(a,1),1601(a,1,1)),flip(a)]. 1606 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(143(a,1),1602(a,1,2,1)),flip(a)]. 1607 (T(x,y \ 1) \ 1) \ y = y * ((x \ 1) \ 1). [para(1602(a,1),692(a,1,1))]. 1608 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(1605(a,1),659(a,1,2,1)),flip(a)]. 1609 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(1606(a,1),62(a,1,2))]. 1610 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(227,a,1444,a,b,1609,a(flip)),flip(a)]. 1611 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),1609(a,1,2,2)),flip(a)]. 1612 ((1 / (x * y)) * x) * ((y * z) / (x * y)) = L(z,y,x) / (x * y). [para(28(a,2),1589(a,2,1))]. 1613 (x / y) \ (((1 / y) * z) \ 1) = ((y \ (z * x)) / y) \ 1. [para(1589(a,1),123(a,1,1)),flip(a)]. 1614 (x \ ((x * y) * z)) / x = L(y,x,x) * (z / x). [para(1021(a,1),1589(a,1,1)),flip(a)]. 1615 x \ ((y / x) \ (z \ x)) = (x \ (z * y)) \ 1. [para(62(a,1),1592(a,1,1,2,1)),flip(a)]. 1616 ((x \ ((x / y) * z)) \ 1) * (x \ ((x / y) * z)) = K(x \ ((z / x) \ y),x \ ((x / y) * z)). [para(1592(a,1),182(a,1,1)),flip(a)]. 1617 (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((x / y) \ (((x / y) / z) * 1)) \ 1. [para(1079(a,2),1592(a,2,2,1)),flip(a)]. 1618 L(((x \ 1) \ (((x \ 1) / y) * z)) \ 1,x,x) = x * ((z / (x \ 1)) \ y). [para(1592(a,2),1387(a,1,1))]. 1619 T((1 / x) \ (y \ 1),y) = ((y \ 1) \ 1) \ x. [hyper(227,a,1126,a(flip),b,1597,a)]. 1620 (x \ ((y / x) \ x)) * (1 / x) = (x * y) \ x. [hyper(227,a,1594,a(flip),b,1598,a)]. 1621 (1 / x) * ((x * (x / y)) \ 1) = (x \ (y / x)) * (1 / x). [para(963(a,1),1598(a,1,1,2)),flip(a)]. 1622 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(1604(a,1),161(a,1,1,2))]. 1623 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(1611(a,1),113(a,1,2)),flip(a)]. 1624 (x * (y * z)) \ ((z / (x * (y * z))) \ ((x * y) \ (x * (y * z)))) = a(x,y,z) \ 1. [para(24(a,2),1615(a,2,1))]. 1625 ((x \ y) \ 1) * (1 / x) = (x * y) \ x. [para(660(a,1),1620(a,1,1))]. 1626 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(1240(a,1),90(a,1,1,2,1))]. 1627 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(665(a,1),172(a,1,2,2))]. 1628 (x * y) \ (y * (y \ x)) = L(y \ 1,T(x,y),y). [para(1244(a,1),172(a,1,2,2))]. 1629 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(227,a,433,a(flip),b,174,a(flip)),flip(a)]. 1630 (x * y) * (y \ (x \ z)) = R(1 / z,x,y) \ 1. [para(314(a,1),262(a,1,2))]. 1631 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(381(a,2),100(a,1,2))]. 1632 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(227,a,102,a(flip),b,382,a)]. 1633 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(382(a,1),100(a,1,2))]. 1636 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(102(a,1),468(a,1,2,1))]. 1637 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(219(a,1),468(a,1,2,1))]. 1638 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),471(a,1,2))]. 1639 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(381(a,2),471(a,1,2))]. 1640 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(113(a,1),485(a,1,1,1)),flip(a)]. 1641 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(485(a,2),209(a,1,2))]. 1642 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(226(a,1),500(a,1,1,1)),flip(a)]. 1643 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(515(a,1),776(a,1,2,1,2)),flip(a)]. 1644 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(515(a,1),902(a,2,1))]. 1645 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(515(a,1),1575(a,1,2,1,1)),flip(a)]. 1646 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(113(a,1),526(a,1,2))]. 1647 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(480(a,1),533(a,1,2,1)),flip(a)]. 1648 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [para(511(a,1),537(a,1,1,1)),flip(a)]. 1649 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(538(a,1),209(a,1,2))]. 1651 ((x / y) * y) * z != u * w | T(u,w) = w \ (x * z). [para(113(a,1),548(a,2)),flip(b)]. 1652 (x \ y) * ((z \ 1) \ 1) != u | (z \ ((1 / y) * x)) \ 1 = u. [para(250(a,1),568(a,1,1))]. 1654 (1 / (x * y)) * ((z \ 1) \ 1) != u | (z \ ((y \ (x \ 1)) \ 1)) \ 1 = u. [para(1062(a,1),568(a,1,1))]. 1655 (x \ (y \ (z \ 1))) / u != w | ((z * y) * x) \ (1 / u) = w. [para(123(a,1),569(a,1,1,2))]. 1656 ((x \ 1) / y) \ (1 / y) = y / (y * (1 / x)). [hyper(570,a,1068,a)]. 1657 (x \ (1 / y)) \ (1 / y) = y / (y * (1 / x)). [para(318(a,1),1656(a,1,1))]. 1658 T(x,x \ (1 / y)) = y / (y * (1 / x)). [hyper(285,a,1657,a)]. 1662 T(x \ y,x) \ ((1 / z) * u) != w | T(y \ x,x) / (u \ z) = w. [para(985(a,1),582(a,1,1))]. 1663 (1 / x) \ L(y,z,z) != u | x / ((z * y) \ z) = u. [para(1021(a,1),582(a,1,2))]. 1664 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(583(a,2),462(a,1,2)),flip(a)]. 1665 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(408,a,584,a),flip(a)]. 1667 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(584(a,2),309(a,1,1))]. 1668 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(113(a,1),588(a,2)),flip(b)]. 1670 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(227,a,534,a(flip),b,605,a(flip)),flip(a)]. 1671 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(227,a,593,a(flip),b,606,a(flip)),flip(a)]. 1672 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(72,a,606,a(flip),b,402,a)]. 1673 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(73,a,610,a(flip),b,184,a)]. 1675 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(710(a,1),430(a,1,1))]. 1676 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [hyper(227,a,376,a(flip),b,711,a),flip(a)]. 1677 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(72,a,89,a(flip),b,719,a),flip(a)]. 1678 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(309(a,1),721(a,1))]. 1679 (x \ y) \ 1 != z | (y \ 1) * T(x,x \ 1) = z. [para(257(a,1),748(a,1))]. 1680 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(62(a,1),773(a,1,1,1))]. 1681 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(113(a,1),823(a,1,1))]. 1682 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(837(a,1),100(a,1,2))]. 1683 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(227,a,40,a,b,845,a)]. 1684 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(887(a,1),154(a,1))]. 1686 (x \ (x \ 1)) * y != z | (1 / x) * (x \ y) = z. [para(999(a,1),978(a,1))]. 1687 L(x,y * x,1 / (y * x)) = y * ((x \ y) \ 1). [hyper(227,a,970,a(flip),b,1042,a)]. 1688 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(235(a,2),1112(a,2,2))]. 1689 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1113(a,1),828(a,1,2))]. 1690 ((x \ 1) \ 1) \ y != z | 1 / ((y \ 1) * x) = z. [para(62(a,1),1118(a,1,2))]. 1692 L(x * y,y,y) != z | x / (1 / y) = z. [para(1305(a,1),1147(a,1))]. 1693 x * (((1 / y) * z) * x) != u | (x / y) * (z * x) = u. [para(675(a,2),1179(a,1))]. 1694 (x \ 1) * L(y * (x \ 1),z,u) = x \ L(y / x,z,u). [para(1030(a,1),1358(a,1,2,1))]. 1695 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(1348(a,1),1358(a,1,2,1))]. 1696 ((x * (1 / y)) / z) \ x != u | (z / x) * (x * y) = u. [para(676(a,1),1414(a,1,1,1))]. 1697 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),1487(a,2,1,2,1))]. 1698 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),1487(a,2,1,2))]. 1699 L(x \ 1,T(y,x),x) = (y * x) \ y. [para(14(a,1),1628(a,1,2)),flip(a)]. 1700 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(1675(a,1),20(a,1))]. 1701 L(x,y * x,y * x) = y * ((x \ y) \ 1). [hyper(1152,a,1687,a)]. 1702 T(x,K(x,1 / x)) = x. [hyper(227,a,1530,a(flip),b,1688,a(flip))]. 1703 T(1 / x,K(x \ 1,x)) = 1 / x. [para(1513(a,1),1702(a,1,2))]. 1704 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1703(a,1),176(a,1,2,1)),flip(a)]. 1706 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [hyper(227,a,665,a(flip),b,431,a)]. 1707 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(156(a,1),684(a,1,1,2))]. 1708 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [hyper(73,a,156,a(flip),b,1707,a)]. 1709 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [hyper(334,a,1708,a)]. 1710 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1709(a,1),14(a,1,2))]. 1711 T(x,x * ((y * x) \ y)) = x. [hyper(227,a,640,a,b,1710,a(flip)),flip(a)]. 1712 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(14(a,1),1711(a,1,2,2,1))]. 1713 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1711(a,1),840(a,1,1,2))]. 1714 T(x / y,(x / y) * (y / x)) = x / y. [para(963(a,1),1711(a,1,2,2))]. 1715 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(420,a,1712,a(flip),b,640,a(flip))]. 1716 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(72,a,1714,a(flip),b,640,a(flip))]. 1717 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [hyper(580,a,1716,a)]. 1718 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(62(a,1),1717(a,1,1)),flip(a)]. 1719 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [hyper(1251,a,687,a)]. 1720 (1 / x) * L(1 / x,y,y) = ((y * x) \ y) / x. [para(1301(a,1),734(a,2,1))]. 1722 (x \ 1) * (((y \ 1) \ 1) * (z \ 1)) = ((y * (1 / z)) \ x) \ 1. [para(333(a,1),751(a,1,2))]. 1723 (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = (((z \ (y / x)) \ 1) \ (x * (y \ 1))) \ 1. [para(752(a,1),970(a,1,1,1)),flip(a)]. 1726 (1 / x) \ (((1 / y) * z) * T((1 / y) * z,u)) = x / ((z * T((1 / y) * z,u)) \ y). [para(1083(a,2),342(a,1,2))]. 1727 x * ((1 / y) * T(x * (1 / y),y)) = (x * (1 / y)) * ((y \ 1) * x). [para(1395(a,1),1083(a,1,2)),flip(a)]. 1728 (x \ 1) * (1 / ((1 / y) / z)) = ((z * y) \ x) \ 1. [para(65(a,1),1123(a,1,1,1,2)),flip(a)]. 1729 K((x \ 1) * (1 / (y / z)),(z * (y \ 1)) \ x) = (((z * (y \ 1)) \ x) \ 1) * ((z * (y \ 1)) \ x). [para(1123(a,1),182(a,1,1))]. 1730 (((x \ 1) * (1 / (y / z))) \ 1) \ ((z * (y \ 1)) \ x) = ((1 \ ((z * (y \ 1)) \ x)) \ 1) * ((z * (y \ 1)) \ x). [para(1123(a,1),1406(a,1,1,1))]. 1731 ((x \ (y \ 1)) \ 1) * ((1 / z) * u) = 1 / ((u \ z) / (y * x)). [para(123(a,1),1131(a,1,1,1))]. 1732 ((x \ 1) \ 1) * (((1 / y) * z) * u) = 1 / ((u \ (z \ y)) / x). [para(313(a,1),1131(a,1,2,1))]. 1734 (x * ((y \ 1) \ z)) \ x = x \ (x / (y / (1 / z))). [para(1145(a,1),1367(a,1,2)),flip(a)]. 1735 (x * y) \ ((y / z) \ 1) = y \ ((y / (x \ z)) \ 1). [hyper(311,a,1178,a)]. 1736 (x \ (y \ z)) * (z \ 1) = z * ((y * (x * z)) \ 1). [hyper(324,a,1180,a)]. 1737 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(1251,a,1205,a)]. 1738 (x \ 1) * L(x \ 1,y,z) = x \ L(1 / x,y,z). [hyper(398,a,1263,a)]. 1739 (1 / x) \ (y \ (1 / y)) = x * (y \ (1 / y)). [hyper(227,a,1280,a(flip),b,1284,a(flip)),flip(a)]. 1740 x / ((1 / y) \ y) = x * (y \ (1 / y)). [hyper(227,a,1490,a(flip),b,1739,a(flip)),flip(a)]. 1741 x / (y \ (1 / y)) = x * ((1 / y) \ y). [hyper(305,a,1740,a)]. 1742 L(R(x,y,z),y,y) = (((1 / x) \ y) * z) / (y * z). [hyper(227,a,44,a(flip),b,1309,a(flip)),flip(a)]. 1743 T(x,x * T(x \ 1,y)) = x. [hyper(167,a,1409,a)]. 1744 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1743(a,1),895(a,1,1))]. 1745 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(395,a,1476,a),flip(a)]. 1746 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),1493(a,1,1,2,1,2))]. 1747 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(1493(a,1),207(a,1,1)),flip(b)]. 1749 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(65(a,1),1494(a,1,2,2,1,2))]. 1750 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(110(a,1),1500(a,1,1,1))]. 1751 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(515(a,1),1500(a,1,1)),flip(a)]. 1752 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(260(a,1),1522(a,1,1)),flip(a)]. 1753 ((x \ 1) \ (1 / y)) \ x = (1 / x) \ ((x \ 1) * y). [hyper(227,a,1454,a,b,1542,a),flip(a)]. 1754 (x \ 1) \ (y / (1 / x)) = ((x \ 1) \ 1) * (y * x). [hyper(72,a,1548,a(flip),b,1393,a(flip))]. 1755 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(30(a,2),1608(a,1,1,1,1)),flip(a)]. 1756 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(1608(a,1),62(a,1,2))]. 1757 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(1622(a,1),207(a,1,1)),flip(b)]. 1758 T(((x / y) \ 1) \ 1,y) != z | ((y \ x) \ 1) \ 1 = z. [para(1622(a,1),289(a,1,1)),flip(b)]. 1759 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(102(a,2),1623(a,2,2,2,2))]. 1760 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(853,a,1647,a),flip(a)]. 1761 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(78,a,1647,a)]. 1762 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),1647(a,2,2,1))]. 1763 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(778,a,1648,a),flip(a)]. 1764 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(773,a,1648,a)]. 1766 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),1672(a,1,2,1)),flip(a)]. 1767 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(227,a,429,a(flip),b,1673,a)]. 1768 T(x,x * L(x \ 1,y,z)) = x. [hyper(35,a,1719,a)]. 1769 (x * ((y \ (z \ 1)) \ u)) \ x = x \ (x / ((z * y) / (1 / u))). [para(123(a,1),1734(a,1,1,2,1))]. 1770 (x * y) \ (z * (y \ 1)) = y \ ((y / (x \ z)) \ 1). [para(125(a,1),1735(a,1,2))]. 1771 (x \ (y \ z)) * (z \ 1) = z * ((x * z) \ (y \ 1)). [para(123(a,1),1736(a,2,2))]. 1772 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1737,a)]. 1773 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(65(a,1),1772(a,1,2,2,1))]. 1774 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1773(a,1),840(a,1,1,2))]. 1775 (((x * y) \ x) \ 1) * L(((x * y) \ x) \ 1,z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). [para(1026(a,2),1738(a,2,2,1))]. 1776 (x \ (x / (y \ 1))) / (y \ 1) = 1 / (y \ L(1 / y,x,x)). [para(1738(a,1),1036(a,1,2)),flip(a)]. 1777 (x \ 1) * ((y * x) \ y) = x \ L(1 / x,y,y). [para(1301(a,1),1738(a,1,2))]. 1778 (x \ 1) * ((y * x) \ y) = x \ (y \ (y / x)). [para(1371(a,1),1777(a,2,2))]. 1779 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1106(a,1),1745(a,1,1,1))]. 1781 ((x \ 1) \ 1) \ y = y * (1 / T(x,y)). [para(1067(a,1),1752(a,1,2)),flip(a)]. 1782 ((x \ 1) \ y) \ y = 1 / T(x,y). [hyper(789,a,1781,a)]. 1783 (((x \ y) \ 1) \ 1) \ (y \ 1) = (y \ 1) * (x * (y \ 1)). [para(448(a,1),1781(a,2,2))]. 1784 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(227,a,803,a,b,1782,a),flip(a)]. 1785 ((x \ 1) \ y) * (1 / T(x,y)) = y. [para(1782(a,1),14(a,1,2))]. 1786 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(1784(a,2),62(a,1,2))]. 1787 (1 / (x \ (y \ 1))) \ (((x \ (y \ 1)) \ 1) * z) = (1 / (z * (y * x))) \ (x \ (y \ 1)). [para(1137(a,1),1753(a,1,1)),flip(a)]. 1788 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),1756(a,1,2,2,1,1))]. 1789 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(1760(a,1),14(a,1,2)),flip(a)]. 1790 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1262(a,1),1760(a,1,2,1,2))]. 1791 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(1761(a,1),205(a,1,2)),flip(b)]. 1793 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(54(a,1),1763(a,1,1,1)),flip(a)]. 1794 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(16(a,1),1764(a,2,1,1))]. 1795 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(1766(a,1),423(a,1,2))]. 1796 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(227,a,1647,a(flip),b,1767,a)]. 1797 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(1767(a,1),16(a,1,1))]. 1798 (x * y) \ (z * (y \ 1)) = y \ ((x \ z) * (y \ 1)). [para(125(a,1),1770(a,2,2))]. 1799 (x \ ((1 / (y \ (x \ 1))) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ (y \ 1)). [hyper(227,a,753,a,b,1771,a(flip)),flip(a)]. 1800 (1 / x) * ((y * (1 / x)) \ (z \ 1)) = (y \ (z \ (1 / x))) * x. [para(65(a,1),1771(a,1,2)),flip(a)]. 1801 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1779(a,1),115(a,1,1))]. 1802 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [hyper(1546,a,1794,a)]. 1803 (x * y) \ (z * (y \ 1)) = (y \ 1) * ((x \ z) / y). [hyper(227,a,1391,a(flip),b,1798,a)]. 1804 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(62(a,1),1802(a,1,1,2)),flip(a)]. 1805 (x \ 1) * ((y \ (z \ x)) / x) = (y * x) \ (z \ 1). [para(124(a,1),1803(a,1,2)),flip(a)]. 1806 a(x,y,z) * (z \ ((x * y) \ 1)) = (x * (y * z)) \ 1. [para(123(a,1),256(a,1,2))]. 1807 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(636(a,1),310(a,1,2,2))]. 1808 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(219(a,1),469(a,1,2,1))]. 1809 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(102(a,1),470(a,1,2,1))]. 1810 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(219(a,1),470(a,1,2,1))]. 1811 (x * y) * L(x * y,z,u) = x * (y * L(x * y,z,u)). [para(956(a,1),470(a,1,2,1))]. 1812 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(227,a,86,a(flip),b,473,a)]. 1813 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(538(a,1),473(a,1,2))]. 1814 L(x \ (y / z),x,1 / y) != u | (x \ y) / z = u. [para(487(a,2),581(a,1))]. 1815 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(501(a,1),20(a,1))]. 1816 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(110(a,1),501(a,1,1,1))]. 1817 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(110(a,1),502(a,1,1,1))]. 1818 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(531(a,2),19(a,1))]. 1819 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(480(a,1),532(a,1,2,1)),flip(a)]. 1820 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(534(a,1),532(a,1,2,1))]. 1821 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(512(a,1),535(a,1,1,1))]. 1822 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(536(a,2),20(a,1))]. 1823 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(511(a,1),536(a,1,1,1)),flip(a)]. 1825 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(539(a,1),473(a,1,2))]. 1827 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(540(a,1),473(a,1,2))]. 1828 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(401(a,1),592(a,1,2,1))]. 1829 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(481(a,1),592(a,1,2,1))]. 1830 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [para(1828(a,1),279(a,1,1))]. 1831 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(404,a,607,a)]. 1832 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(404,a,608,a)]. 1833 (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). [hyper(405,a,611,a)]. 1834 (x / (y * z)) \ (x / z) = R(y,z,x \ 1). [para(263(a,1),761(a,1,1))]. 1835 ((x * y) / (z * y)) \ x = R(z,y,(x * y) \ 1). [para(15(a,1),1834(a,1,2))]. 1836 (x * y) * ((1 / y) * (1 / y)) = R(x,y,1 \ 1) * (1 / y). [para(1834(a,1),909(a,1,1)),flip(a)]. 1837 ((x * y) / (z * y)) \ x = R(z,y,y \ (x \ 1)). [para(123(a,1),1835(a,2,3))]. 1838 R(L(x,y,y),1 / y,(1 / y) \ (z \ 1)) = ((z * (1 / y)) / (x / y)) \ z. [para(1318(a,1),1837(a,1,1,2)),flip(a)]. 1839 (x * (x \ (y \ 1))) * ((x \ (y \ 1)) \ (x \ z)) = (((y * x) / ((1 / z) * x)) \ y) \ 1. [para(1837(a,2),1630(a,2,1))]. 1841 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(697(a,1),856(a,1,1)),flip(a)]. 1842 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(865(a,1),461(a,1,2)),flip(a)]. 1843 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(868(a,1),494(a,1,1)),flip(a)]. 1844 x \ (T(y * x,y) * z) != u | (y * (z / x)) * x = u. [para(1209(a,2),921(a,1,2,1))]. 1845 ((x \ (y / x)) \ 1) \ 1 = (y \ x) \ (1 / x). [hyper(1291,a,1466,a)]. 1846 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1341(a,1),827(a,1,1,2))]. 1847 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / z) \ (((y \ z) \ z) \ 1)) * x). [para(1600(a,1),1396(a,1,1)),flip(a)]. 1848 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(385(a,1),1484(a,1,1,2))]. 1849 (1 / (x * y)) \ x != z | ((x \ 1) \ y) * x = z. [para(1172(a,1),1521(a,1))]. 1850 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(1584(a,1),109(a,1,1))]. 1851 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),1751(a,1,1,1)),flip(a)]. 1852 a(x,y,z) * (z \ (y \ (x \ 1))) = (x * (y * z)) \ 1. [para(123(a,1),1806(a,1,2,2))]. 1853 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1812(a,1),19(a,1)),flip(a)]. 1854 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(227,a,855,a,b,1841,a),flip(a)]. 1855 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1854(a,2,1)),flip(a)]. 1856 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(876,a,1855,a)]. 1857 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1855,a)]. 1858 K(x,y) / (x \ 1) = x * K(x,y). [hyper(73,a,1855,a(flip),b,639,a)]. 1859 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1855(a,1),210(a,1,2))]. 1860 (1 / x) \ K(x,y) = K(x,y) * x. [para(1855(a,1),1537(a,1,1)),flip(a)]. 1861 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1855(a,1),1549(a,1,2)),flip(a)]. 1862 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1857(a,1),210(a,1,2))]. 1863 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1857(a,1),380(a,2,1))]. 1865 K(x \ 1,x) * x = 1 / (1 / x). [hyper(227,a,1444,a(flip),b,1861,a)]. 1866 T(x,K(x \ 1,y)) = x. [hyper(167,a,1861,a)]. 1867 T(1 / x,K(x,y)) = 1 / x. [para(65(a,1),1866(a,1,2,1))]. 1868 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1867(a,1),868(a,1,1)),flip(a)]. 1869 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(227,a,156,a(flip),b,1863,a)]. 1870 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(35,a,1869,a)]. 1871 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,z)) = T(K(y,z),((x * y) \ x) \ 1). [para(1870(a,1),1245(a,2,1))]. 1872 a(x,y,z) \ ((y * z) \ (x \ 1)) = z \ (y \ (x \ 1)). [hyper(72,a,123,a(flip),b,1852,a)]. 1873 (x \ y) * (z * (x \ 1)) = x \ ((y * z) / x). [hyper(1418,a,138,a),flip(a)]. 1874 ((x \ 1) \ y) * ((z \ 1) * ((x \ 1) \ 1)) = ((x \ 1) \ 1) * ((x \ (z / y)) \ 1). [para(752(a,1),138(a,1,2)),flip(a)]. 1875 x \ (((x * y) * z) / x) = y * (z * (x \ 1)). [para(13(a,1),1873(a,1,1)),flip(a)]. 1876 1 / (x \ ((y * z) / x)) = (x / z) / (x \ y). [para(1873(a,1),327(a,1,2))]. 1877 (x \ y) * ((z * x) * (x \ 1)) = x \ (x / (z \ (y \ x))). [para(1175(a,1),1873(a,2,2))]. 1878 (x \ 1) \ ((y * (z * (u \ 1))) / (x \ 1)) = ((x \ 1) \ y) * ((x \ (u / z)) \ 1). [para(752(a,1),1873(a,1,2)),flip(a)]. 1879 x * (y * (z * (x \ 1))) = ((x * y) * z) / x. [para(1875(a,1),14(a,1,2))]. 1881 (x / y) / (x \ z) = x / (x \ (z * y)). [hyper(1283,a,1876,a),flip(a)]. 1882 x / (x \ ((x * y) * z)) = (x / z) / y. [para(13(a,1),1881(a,1,2)),flip(a)]. 1883 ((x / y) / z) \ x = x \ ((x * z) * y). [para(1882(a,1),65(a,1,1))]. 1884 1 / (x \ ((x * y) * z)) = (1 / x) * ((x / z) / y). [para(1882(a,1),337(a,1,2)),flip(a)]. 1885 (x \ ((x * y) * z)) / x = (x * ((x / z) / y)) \ x. [para(1882(a,1),963(a,1,1,2)),flip(a)]. 1886 (x * y) \ (((x * y) * z) * y) = (x / z) \ (x * y). [para(15(a,1),1883(a,1,1,1)),flip(a)]. 1887 ((x / y) / (z \ (z \ 1))) \ x = x \ ((x / (z * z)) * y). [para(987(a,1),1883(a,2,2,1))]. 1888 x \ ((x * y) * ((1 / x) * z)) = (((x / z) * x) / y) \ x. [para(1181(a,1),1883(a,1,1,1)),flip(a)]. 1889 (1 / x) \ (x \ ((x * y) * z)) = (((x / z) / y) / x) \ x. [para(1883(a,1),1199(a,1,2))]. 1890 x \ ((x * y) * L(z,x,x)) = ((x * (1 / z)) / y) \ x. [para(1315(a,1),1883(a,1,1,1)),flip(a)]. 1891 (x * ((x / y) / z)) \ x = L(z,x,x) * (y / x). [hyper(227,a,1614,a(flip),b,1885,a(flip))]. 1892 (x * ((x / T(y,x)) / z)) \ x = L(z,x,x) * ((1 / x) * y). [hyper(227,a,651,a(flip),b,1891,a)]. 1893 (L(x,y,y) * (z / y)) / (1 / y) = (y \ ((y / z) / x)) \ 1. [hyper(73,a,1891,a(flip),b,1625,a)]. 1894 (T(x,y) * (((1 / y) * x) / z)) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). [para(631(a,1),1891(a,1,1,2,1))]. 1895 (T(x,y) * (T(x / y,x) / z)) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). [para(649(a,2),1891(a,1,1,2,1))]. 1896 L(T(x,y / z),y,y) * (z / y) = (y * ((1 / x) * (y / z))) \ y. [para(1202(a,1),1891(a,1,1,2)),flip(a)]. 1897 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1758,a,434,a),flip(a)]. 1898 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),1897(a,2,1,1))]. 1899 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(17,a,424,a,b,451,a),flip(a)]. 1901 (1 / x) * (y * ((1 / x) * y)) = (y \ x) \ ((1 / x) * y). [hyper(958,a,706,a)]. 1903 ((x \ y) \ ((1 / y) * x)) \ 1 = ((1 / y) * x) \ (x \ y). [para(706(a,1),314(a,1,1))]. 1904 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [hyper(227,a,668,a(flip),b,718,a)]. 1905 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(718(a,1),1768(a,1,2))]. 1906 ((x \ 1) \ y) * L(1 / T(x,y),z,u) = L(x \ 1,z,u) * ((x \ 1) \ y). [para(1782(a,1),718(a,1,2,1))]. 1907 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(668(a,1),1905(a,1,2))]. 1908 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [para(1907(a,1),1244(a,1,1))]. 1909 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(227,a,732,a(flip),b,726,a)]. 1910 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,177,a,b,726,a),flip(a)]. 1912 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(72,a,1910,a(flip),b,329,a),flip(a)]. 1913 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(227,a,1228,a(flip),b,727,a)]. 1914 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(1489,a,1913,a)]. 1915 L(x \ 1,x,x \ 1) = 1 / x. [hyper(763,a,1443,a)]. 1916 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1915(a,1),40(a,2,1))]. 1917 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1915(a,1),45(a,1,1)),flip(a)]. 1918 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1916(a,1),473(a,1,2))]. 1919 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1917(a,1),473(a,1,2))]. 1920 T(x,x * (y * T(y \ 1,x))) = x. [para(849(a,1),772(a,1,2))]. 1921 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(394,a,886,a),flip(a)]. 1923 T(x,y) * (x * z) = x * (T(x,y) * z). [para(175(a,1),1921(a,1,2)),flip(a)]. 1924 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(586,a,1923,a),flip(a)]. 1925 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(308,a,1923,a),flip(a)]. 1926 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(227,a,86,a(flip),b,1923,a)]. 1927 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(72,a,86,a(flip),b,1923,a)]. 1928 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),1923(a,1,2)),flip(a)]. 1930 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(113(a,1),1923(a,1,2)),flip(a)]. 1931 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1923(a,1,1)),flip(a)]. 1932 T(x,y) \ (x * (T(x,y) * z)) != u * w | u \ (x * z) = w. [para(1923(a,1),307(a,1,2))]. 1933 T(x,y) \ (x * (T(x,y) * z)) != u * w | (x * z) / w = u. [para(1923(a,1),458(a,1,2))]. 1934 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(78,a,1924,a)]. 1936 T(x,y) * T(y,x) = x * y. [para(1252(a,1),1925(a,1,2)),flip(a)]. 1937 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(420,a,xx,b,1936,a),flip(a)]. 1938 T(x,T(y,x)) = T(x,y). [hyper(389,a,1936,a)]. 1939 (x * y) / T(y,x) = T(x,y). [hyper(85,a,1936,a)]. 1940 T(x,y) \ (x * y) = T(y,x). [hyper(78,a,1936,a)]. 1941 T(x,x \ y) \ y = T(x \ y,x). [hyper(72,a,14,a(flip),b,1936,a)]. 1942 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(1936(a,1),24(a,2,2,1)),flip(a)]. 1943 T(x,T(y / x,z)) * T(x \ y,z) = x * T(y / x,z). [para(178(a,1),1936(a,1,2))]. 1944 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(1936(a,1),109(a,1,2))]. 1945 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(599,a,1938,a),flip(a)]. 1946 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(227,a,1241,a,b,1938,a),flip(a)]. 1947 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(227,a,1227,a,b,1938,a),flip(a)]. 1948 R(T(x,T(y,R(x,z,u))),z,u) = T(R(x,z,u),y). [hyper(227,a,42,a,b,1938,a(flip)),flip(a)]. 1949 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(1938(a,1),38(a,1,1)),flip(a)]. 1950 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),1938(a,1,2))]. 1951 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),1938(a,1,2))]. 1952 T(x,y / x) = T(x,x \ y). [para(115(a,1),1938(a,1,2)),flip(a)]. 1953 T(x,x / (y \ 1)) = T(x,y * x). [para(628(a,1),1938(a,1,2)),flip(a)]. 1954 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(1938(a,1),176(a,1,2,1))]. 1955 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(1938(a,1),177(a,1,2,1))]. 1956 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(834(a,1),1938(a,1,2))]. 1957 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(1938(a,1),394(a,1,2,1))]. 1958 T(x,x * (y \ 1)) = T(x,y \ x). [para(1201(a,1),1938(a,1,2)),flip(a)]. 1959 T(x,(1 / y) \ x) = T(x,x * y). [para(1209(a,1),1938(a,1,2))]. 1960 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [para(1214(a,1),1938(a,1,2)),flip(a)]. 1961 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(1938(a,1),1265(a,1,2,1))]. 1962 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),1940(a,1,1)),flip(a)]. 1964 (x / y) * T(y,y \ x) = y * (x / y). [para(1952(a,1),113(a,1,2))]. 1965 x / T(y,x / y) = y \ x. [para(1952(a,2),190(a,1,2))]. 1966 T(x,y / x) != z | (x \ y) \ y = z. [para(1952(a,2),416(a,1))]. 1968 (x * (y / x)) * x = y * T(x,x \ y). [para(1952(a,1),899(a,2,2))]. 1969 x / T(y \ x,y) = (y \ x) \ x. [para(62(a,1),1965(a,1,2,2))]. 1971 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(1945(a,1),865(a,1,1))]. 1972 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1946(a,1,2,1))]. 1973 T(x,T(y,x)) != z | T(x,y) = z. [para(1947(a,1),1242(a,1))]. 1976 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),1949(a,1,2))]. 1977 T(x,T(x * y,y)) = T(x,x * y). [para(1237(a,1),1950(a,1,2)),flip(a)]. 1978 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(1938(a,1),1950(a,1,2)),flip(a)]. 1979 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,461,a,b,1926,a)]. 1980 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(17,a,237,a,b,1926,a)]. 1981 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1926(a,1),282(a,1,2)),flip(b)]. 1982 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(1934(a,1),205(a,1,2)),flip(b)]. 1983 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(227,a,1949,a(flip),b,1937,a)]. 1984 T(x,y) * T(T(y,x),x) = y * x. [para(1983(a,1),14(a,1,2))]. 1985 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(40(a,2),1983(a,1,1))]. 1986 (x * (y / x)) * x = (x \ 1) \ y. [hyper(227,a,788,a(flip),b,1968,a)]. 1987 (x * T(y,y \ x)) / y = y * (x / y). [hyper(85,a,1968,a)]. 1988 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [hyper(72,a,1968,a(flip),b,824,a)]. 1990 (x * (y / x)) * x != z | (x \ 1) \ y = z. [para(1968(a,2),885(a,1))]. 1991 x * (((x \ 1) * y) / x) = y / x. [hyper(73,a,13,a(flip),b,1986,a),flip(a)]. 1992 (x \ 1) \ (y * x) = (x * y) * x. [para(15(a,1),1986(a,1,1,2)),flip(a)]. 1993 ((x \ 1) * y) / x = x \ (y / x). [hyper(78,a,1991,a),flip(a)]. 1994 (x \ (y / x)) * x = (x \ 1) * y. [para(1991(a,1),66(a,1,1,2))]. 1995 ((x * ((1 / (x \ 1)) \ y)) * x) / (x \ 1) = y * (x / (x \ 1)). [hyper(73,a,1992,a(flip),b,918,a(flip))]. 1996 (x \ 1) * ((x * y) * x) = y * x. [para(1992(a,1),14(a,1,2))]. 1997 (x \ (y / x)) * x != z | (x \ 1) * y = z. [para(1993(a,1),207(a,1,1)),flip(b)]. 1999 (x \ 1) * (y * x) = (x \ y) * x. [para(15(a,1),1994(a,1,1,2)),flip(a)]. 2000 ((x \ 1) * y) \ ((x \ (y / x)) * (x * z)) = L(z,x,x \ (y / x)). [para(1994(a,1),28(a,2,1)),flip(a)]. 2002 (x \ 1) * y != z * x | (x * z) * x = y. [para(1996(a,1),19(a,1)),flip(a)]. 2003 (x \ 1) \ (y * x) != z | (x * y) * x = z. [para(1996(a,1),282(a,1,2)),flip(b)]. 2005 (x * y) / (1 / x) = x * (y * x). [para(1996(a,1),1394(a,1,2)),flip(a)]. 2006 x \ (y / (1 / x)) = (x \ y) * x. [hyper(1419,a,1999,a)]. 2007 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (1 / x) * (y * ((x \ 1) \ 1)). [para(1057(a,1),1999(a,1,1)),flip(a)]. 2008 (((x * y) \ 1) \ 1) \ y = 1 / ((y \ x) * y). [para(1999(a,1),1078(a,1,2)),flip(a)]. 2009 x * ((x \ y) * x) = y / (1 / x). [para(1999(a,1),1394(a,1,2))]. 2010 (x * y) / (1 / y) = y * (T(x,y) * y). [para(113(a,1),2005(a,1,1))]. 2011 (((1 / x) * y) * z) / (((y \ x) \ 1) \ 1) = ((1 / x) * y) * (z * ((1 / x) * y)). [para(1064(a,1),2005(a,1,2))]. 2012 (x \ (y * (1 / x))) * x = x \ y. [para(15(a,1),2006(a,1,2)),flip(a)]. 2013 ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). [para(62(a,1),2006(a,1,2,2)),flip(a)]. 2014 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(227,a,1187,a,b,2009,a),flip(a)]. 2016 x * ((x \ y) / x) = y * (1 / x). [para(2012(a,1),61(a,1,2,1))]. 2017 (x \ (1 / (x / y))) * x = x \ ((y \ 1) \ 1). [para(1079(a,1),2012(a,1,1,2))]. 2018 (x * y) * (1 / x) = x * (y / x). [para(13(a,1),2016(a,1,2,1)),flip(a)]. 2019 (x * T(y,x)) * (1 / x) = x * ((1 / x) * y). [hyper(227,a,651,a(flip),b,2018,a)]. 2020 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(709(a,1),1987(a,1,1,2))]. 2021 (x * y) / (1 / y) = x * (y * y). [hyper(227,a,907,a(flip),b,2010,a)]. 2022 (x * (1 / y)) / y = x / (y * y). [hyper(562,a,2021,a),flip(a)]. 2023 (x / y) * (y * y) != z | x / (1 / y) = z. [para(2021(a,1),409(a,1))]. 2024 (x / (y * y)) * y = x * (1 / y). [para(2022(a,1),16(a,1,1))]. 2025 T(x / (y * y),y) = (y \ x) / y. [hyper(166,a,2024,a,b,2016,a)]. 2027 T(x / ((y * (z \ 1)) * (y * (z \ 1))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). [hyper(227,a,341,a(flip),b,2025,a)]. 2028 (1 / x) * (y / (x * x)) = ((x \ y) / x) / x. [hyper(73,a,2025,a(flip),b,625,a(flip)),flip(a)]. 2029 T(x / ((y / z) * (y / z)),y / z) = T(x * (z * (y \ 1)),x) / (y / z). [para(1218(a,2),2025(a,2,1))]. 2030 T(x / (x / y),x) = L(y,y \ x,y). [hyper(166,a,2014,a,b,461,a)]. 2032 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(2030(a,2),40(a,2,1)),flip(a)]. 2033 (x \ y) * x != z | (x \ 1) * (y * x) = z. [para(15(a,1),1997(a,1,1,2))]. 2034 x * (y * y) != z | (x * y) / (1 / y) = z. [para(15(a,1),2023(a,1,1))]. 2035 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,461,a,b,1930,a)]. 2037 T(x,y) * (y * x) = x * (x * y). [para(1936(a,1),1930(a,1,2)),flip(a)]. 2038 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1972(a,2,2))]. 2039 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),2038(a,1,2,1))]. 2040 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(227,a,1950,a(flip),b,1978,a)]. 2041 ((x \ (y \ 1)) \ 1) \ x = 1 / ((x \ y) * x). [para(123(a,1),2008(a,1,1,1))]. 2043 (x * y) * (1 / y) = y * ((1 / y) * x). [para(113(a,1),2019(a,1,1))]. 2044 (x * ((1 / x) * y)) \ 1 = (1 / x) \ ((y * x) \ 1). [para(2043(a,1),123(a,1,1))]. 2046 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),2039(a,2,2)),flip(a)]. 2047 T(x,y) / (y \ x) = (x * y) / x. [hyper(73,a,2046,a,b,xx)]. 2048 ((x * y) / x) \ T(x,y) = y \ x. [hyper(72,a,2046,a,b,xx)]. 2049 T(x,x / y) / y = (x * (x / y)) / x. [hyper(330,a,2046,a(flip))]. 2050 ((x * (x / y)) / x) * y = T(x,x / y). [para(65(a,1),2046(a,2,2)),flip(a)]. 2051 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(388(a,1),2046(a,2,2)),flip(a)]. 2052 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(414(a,1),2046(a,2,2)),flip(a)]. 2053 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),2047(a,1,2)),flip(a)]. 2056 T(T(x,x / y) / y,x) = x / y. [para(2049(a,2),160(a,1,1))]. 2057 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(2049(a,1),207(a,1,1)),flip(b)]. 2059 T(x \ T(y,y / x),y) = T(y / x,x). [para(2056(a,1),178(a,1,1)),flip(a)]. 2060 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(227,a,1491,a(flip),b,2050,a(flip)),flip(a)]. 2061 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(72,a,2050,a(flip),b,1491,a(flip))]. 2062 T(x \ T(y,y / x),y) = x \ y. [hyper(227,a,115,a(flip),b,2059,a)]. 2063 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(62(a,1),2062(a,1,1,2,2))]. 2064 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(65(a,1),2060(a,1,2,1,2))]. 2065 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(1487(a,2),2060(a,1,2))]. 2066 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(2061(a,1),205(a,1,2)),flip(b)]. 2067 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(2061(a,1),392(a,1,2))]. 2068 (((x \ 1) \ y) \ 1) * y = 1 / ((y \ x) * y). [hyper(227,a,1406,a(flip),b,2041,a(flip)),flip(a)]. 2069 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(2053(a,1),1629(a,1,1))]. 2070 x * R(y,x,T(y,x)) = T(y * x,y). [para(2069(a,1),165(a,1,2))]. 2071 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(2069(a,1),408(a,1))]. 2072 ((x \ 1) * (1 / y)) * x = 1 / ((x \ y) * x). [para(1070(a,1),2068(a,1,1))]. 2073 R(T(x,T(y,R(x,z,u))),z,u) = R(T(x,y),z,u). [hyper(227,a,42,a,b,1948,a)]. 2078 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(1108(a,1),2073(a,2,1))]. 2081 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(429(a,1),1928(a,1,2))]. 2082 L(T(x,y),T(y,x),x) = T(x,y * x). [hyper(17,a,843,a(flip),b,1954,a)]. 2083 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(829(a,1),1954(a,1,2))]. 2084 L(x,T(y,x),x) * y = y * T(x,y * x). [para(2082(a,1),176(a,1,2)),flip(a)]. 2085 x * T(y,x * y) != z * x | L(y,T(x,y),y) = z. [para(2084(a,1),20(a,1))]. 2086 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1955(a,1),171(a,1,1,2))]. 2087 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(682(a,1),1980(a,1,2))]. 2088 ((1 / x) * y) \ (x \ 1) = (1 / x) \ ((y * x) \ 1). [hyper(311,a,2044,a)]. 2090 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(2081(a,2),19(a,2))]. 2091 ((1 / x) * y) \ (x \ 1) = (1 / x) \ (x \ (y \ 1)). [para(123(a,1),2088(a,2,2))]. 2092 ((1 / x) * y) \ (x \ 1) = x * ((1 / x) * (y \ 1)). [hyper(227,a,1374,a(flip),b,2091,a)]. 2093 ((1 / (x * y)) * z) \ (y \ (x \ 1)) = (x * y) * ((1 / (x * y)) * (z \ 1)). [para(123(a,1),2092(a,1,2))]. 2094 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(209,a,2065,a)]. 2095 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(2037(a,1),900(a,1,1))]. 2096 K(x * y,T(y,x)) = K(y * x,y). [hyper(284,a,2095,a),flip(a)]. 2097 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(2095(a,1),284(a,1))]. 2098 (1 / (x * y)) * (y \ (x \ 1)) = (x * y) \ (y \ (x \ 1)). [para(123(a,1),1016(a,2,2))]. 2099 (x \ 1) * ((y \ 1) * (1 / x)) = ((1 / y) \ x) \ (x \ 1). [para(317(a,1),1125(a,2,1))]. 2100 x / ((y \ 1) * (z / y)) = (1 / x) \ ((y / z) * y). [para(1532(a,1),1188(a,1,2))]. 2101 (x \ y) / (((1 / y) * x) * y) = ((y * x) \ y) * (x \ y). [para(313(a,1),1189(a,1,2,1))]. 2102 (x * (y \ x)) \ (x * (y \ 1)) = (y \ 1) \ (y \ (1 / x)). [para(318(a,1),1269(a,2,2))]. 2103 (x \ (y \ 1)) * (x \ (y \ 1)) = (y * x) \ (1 / (y * x)). [para(123(a,1),1281(a,1,1))]. 2104 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / y) \ ((T(x,y) \ 1) \ 1)). [para(1574(a,1),1281(a,1,1,1)),flip(a)]. 2105 x \ ((x / (y * y)) * z) = ((y * y) \ (z / x)) * x. [para(990(a,1),1593(a,1,1)),flip(a)]. 2106 (x / y) \ (((1 / y) * z) \ 1) = y * ((y \ (z * x)) \ 1). [hyper(227,a,125,a(flip),b,1613,a)]. 2107 (1 / x) * ((x * (x / y)) \ 1) = ((x \ y) / x) / x. [hyper(227,a,1433,a(flip),b,1621,a)]. 2108 (1 / x) * ((x / y) \ (x \ 1)) = ((x \ y) / x) / x. [para(123(a,1),2107(a,1,2))]. 2109 (x / y) \ (x \ 1) = y / (x * x). [hyper(17,a,2028,a,b,2108,a)]. 2110 (x \ y) / (y * y) = x \ (y \ 1). [para(62(a,1),2109(a,1,1)),flip(a)]. 2111 (x * x) * ((y \ x) \ 1) = (y \ (x \ 1)) \ 1. [para(2110(a,1),125(a,1,1)),flip(a)]. 2112 (x \ (y \ 1)) * y = (x \ y) * (1 / y). [para(2110(a,1),2024(a,1,1))]. 2113 ((x \ 1) \ y) \ x = (y \ x) * (1 / x). [hyper(227,a,1454,a,b,2112,a(flip)),flip(a)]. 2114 x \ (((1 / x) \ (y * x)) * (1 / (y * x))) = (((y * x) \ 1) * y) * x. [hyper(72,a,2112,a(flip),b,47,a(flip))]. 2115 ((x \ y) \ x) * (1 / x) = (y \ 1) * x. [para(249(a,1),2112(a,1,1)),flip(a)]. 2118 ((x \ y) * (1 / y)) / ((z \ (x \ (y \ 1))) * y) != u | R(z,z \ (x \ (y \ 1)),y) = u. [para(2112(a,1),867(a,1,1))]. 2119 ((x \ 1) \ y) * (1 / y) = y * (((y \ x) \ 1) \ 1). [hyper(227,a,1522,a(flip),b,2113,a(flip))]. 2120 x * (((x \ (1 / y)) \ 1) \ 1) = (y \ x) * (1 / x). [para(65(a,1),2119(a,1,1,1)),flip(a)]. 2121 ((x * (y \ 1)) \ z) * (1 / z) = z * (((z \ (y / x)) \ 1) \ 1). [para(125(a,1),2119(a,1,1,1))]. 2122 (x \ ((1 / y) * z)) * (1 / ((1 / y) * z)) = ((1 / y) * z) * ((((z \ y) / x) \ 1) \ 1). [para(344(a,1),2120(a,1,2,1,1)),flip(a)]. 2123 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(78,a,1664,a)]. 2124 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(271(a,1),1664(a,1,2))]. 2125 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(773,a,1667,a),flip(a)]. 2126 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(440,a,1676,a)]. 2127 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(73,a,2126,a,b,429,a)]. 2128 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(219(a,1),1695(a,1,2)),flip(a)]. 2129 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(62(a,1),1718(a,1,2)),flip(a)]. 2130 (((x \ y) \ 1) \ 1) \ (y \ 1) = y \ (x / y). [hyper(227,a,1361,a(flip),b,1783,a)]. 2131 (((x \ y) \ 1) \ 1) \ (y \ 1) != z | y \ (x / y) = z. [para(1783(a,2),1418(a,1))]. 2132 (x * y) * L(x * y,y,y) = x * ((1 / y) \ (x * y)). [para(1368(a,1),1811(a,2,2))]. 2133 (x * y) * (x / (1 / y)) = x * ((1 / y) \ (x * y)). [para(1314(a,1),2132(a,1,2))]. 2134 (x * y) * (x / (1 / y)) = x * (y * (x / (1 / y))). [para(1375(a,1),2133(a,2,2))]. 2135 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(227,a,715,a(flip),b,1821,a)]. 2136 R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. [para(1823(a,1),20(a,1))]. 2137 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),1829(a,1,2,1)),flip(a)]. 2138 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),1831(a,2,1))]. 2139 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(2138(a,1),250(a,1,1)),flip(a)]. 2140 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1914(a,1),2139(a,1,1)),flip(a)]. 2141 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(713(a,1),1832(a,1,2)),flip(a)]. 2142 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(723(a,1),1833(a,1,1))]. 2143 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(227,a,1491,a(flip),b,1848,a)]. 2144 x \ (x / (y \ (z \ x))) = (x \ z) * L(y,x,x). [para(1028(a,1),1877(a,1,2)),flip(a)]. 2145 x * ((x \ y) * L(z,x,x)) = x / (z \ (y \ x)). [para(2144(a,1),14(a,1,2))]. 2146 x * ((x \ y) * L(z,x,x)) != u | x / (z \ (y \ x)) = u. [para(2144(a,1),205(a,1,2)),flip(b)]. 2147 T((x \ y) * L(z,x,x),x) = 1 / T(z \ (y \ x),x). [para(2144(a,1),991(a,1,1))]. 2148 1 / ((x \ y) * L(z,x,x)) = x / (x \ (y * (z * x))). [para(2144(a,1),1292(a,1,2))]. 2149 x / (y \ (z \ x)) != u * w | u \ (x * ((x \ z) * L(y,x,x))) = w. [para(2145(a,1),457(a,1))]. 2150 ((1 / ((x \ y) * L(z,x,x))) \ x) * ((x \ y) * L(z,x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(2145(a,1),619(a,2,2))]. 2151 ((x / y) * (z * z)) \ x = x \ ((x / (z * z)) * y). [para(982(a,1),1887(a,1,1))]. 2152 ((x / y) * (z * z)) \ x = ((z * z) \ (y / x)) * x. [hyper(227,a,2105,a(flip),b,2151,a)]. 2153 x \ ((x * y) * ((1 / x) * z)) = (y / x) * z. [hyper(227,a,1413,a(flip),b,1888,a)]. 2154 (x / y) * ((1 / y) \ z) = y \ ((y * x) * z). [para(14(a,1),2153(a,1,2,2)),flip(a)]. 2155 x \ ((x * y) * (1 / z)) = (y / x) * (x / z). [para(337(a,1),2153(a,1,2,2))]. 2156 x \ ((y / z) * ((1 / z) \ u)) = x \ (z \ ((z * y) * u)). [hyper(72,a,2154,a,b,14,a)]. 2158 x * ((1 / x) * ((x * y) * z)) = (((x / z) / y) / x) \ x. [hyper(227,a,1374,a(flip),b,1889,a(flip)),flip(a)]. 2159 (x \ y) \ ((1 / y) * x) = (1 / y) * ((x / y) * x). [para(624(a,1),1901(a,1,2)),flip(a)]. 2160 ((1 / x) * ((y / x) * y)) \ 1 = ((1 / x) * y) \ (y \ x). [para(2159(a,1),1903(a,1,1))]. 2161 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1931(a,1,2,1))]. 2162 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(160(a,1),1931(a,1,2,1)),flip(a)]. 2163 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(588,a,2161,a)]. 2164 (1 / x) * ((x \ 1) * y) = x \ (x \ y). [hyper(227,a,1360,a(flip),b,2161,a)]. 2165 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(227,a,64,a(flip),b,2161,a)]. 2166 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(65(a,1),2165(a,1,2,1))]. 2167 (1 / x) * K(x \ 1,x) = x \ 1. [para(182(a,2),2165(a,1,2))]. 2168 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(2167(a,1),28(a,2,1)),flip(a)]. 2169 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(2167(a,1),100(a,1,1))]. 2170 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(2167(a,1),495(a,2,2))]. 2171 (x \ 1) \ ((x \ 1) \ y) = x * (((x \ 1) \ 1) * y). [hyper(301,a,2164,a),flip(a)]. 2172 x \ (x \ ((y \ 1) \ 1)) = (1 / x) * ((y \ x) \ 1). [para(257(a,1),2164(a,1,2)),flip(a)]. 2173 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(227,a,65,a(flip),b,2166,a)]. 2175 x * ((1 / x) * ((y \ x) \ 1)) = x \ ((y \ 1) \ 1). [para(2172(a,1),14(a,1,2))]. 2177 (x \ 1) * ((y \ 1) * (1 / x)) = x \ (y \ (x \ 1)). [hyper(227,a,1596,a(flip),b,2099,a)]. 2178 (x \ 1) \ (y \ ((x \ 1) \ 1)) = ((x \ 1) \ 1) * ((y \ 1) * x). [para(62(a,1),2177(a,1,2,2)),flip(a)]. 2179 x \ ((1 / y) \ (x \ 1)) = (x \ 1) * (y * (1 / x)). [para(65(a,1),2177(a,1,2,1)),flip(a)]. 2180 x \ ((x * (1 / y)) \ 1) = (x \ 1) * (y * (1 / x)). [para(123(a,2),2179(a,1,2))]. 2181 (x * (x * (1 / y))) \ x = y * (1 / x). [hyper(1427,a,2180,a)]. 2182 (x * (1 / y)) \ (1 / x) = (y * (1 / x)) * (1 / x). [para(2181(a,1),1003(a,1,1)),flip(a)]. 2183 ((x * y) \ x) * (y \ x) = (y \ x) / T(y,x). [para(625(a,2),2101(a,1,2)),flip(a)]. 2184 (x * (y \ x)) \ (x * (y \ 1)) = L(1 / x,y,1 / y). [hyper(227,a,1347,a(flip),b,2102,a)]. 2185 (x * (y \ x)) \ (x * (y \ 1)) = y \ (y / x). [hyper(227,a,1377,a(flip),b,2184,a)]. 2186 (x / y) \ (((1 / y) * z) \ 1) = ((z * x) / y) \ y. [hyper(227,a,663,a(flip),b,2106,a)]. 2187 ((x * y) / z) \ z = (y / z) \ (x \ z). [para(250(a,1),2186(a,1,2)),flip(a)]. 2188 (1 / (x * (y \ z))) \ x = (y / x) \ ((1 / z) \ x). [para(328(a,1),2187(a,1,1))]. 2189 (x / y) \ ((1 / z) \ y) = ((y \ 1) \ (x \ z)) * y. [hyper(1849,a,2188,a),flip(a)]. 2190 ((((x \ 1) \ (y \ z)) \ x) \ 1) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(2189(a,2),1625(a,2,1))]. 2191 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(858,a,2123,a)]. 2192 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(72,a,423,a(flip),b,2123,a(flip))]. 2193 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(2123(a,1),858(a,1))]. 2194 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(227,a,1793,a(flip),b,2191,a)]. 2195 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(227,a,1706,a(flip),b,2191,a)]. 2196 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(73,a,2191,a,b,429,a)]. 2197 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(682(a,1),2191(a,1,1))]. 2198 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(62(a,1),2192(a,1,2,1,2))]. 2200 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(2047(a,1),2192(a,1,2,1,2))]. 2201 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(2194(a,2),16(a,1,1)),flip(a)]. 2202 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1527(a,1),2194(a,1,1))]. 2203 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),2195(a,2,2))]. 2204 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(160(a,1),2195(a,2,2))]. 2205 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1169(a,1),2196(a,1,1,1))]. 2206 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(13(a,1),2198(a,1,2,1)),flip(a)]. 2207 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(731(a,1),2203(a,2,2))]. 2208 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(2206(a,2),14(a,1,2)),flip(a)]. 2209 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(156(a,2),2206(a,1,1,1))]. 2210 T(x,x * K(y,x)) = x. [para(2208(a,2),1920(a,1,2,2))]. 2211 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,2210,a)]. 2213 K(x,y) / (y \ 1) = y * K(x,y). [hyper(1235,a,2211,a)]. 2214 (x * K(y,x)) \ K(y,x) = x \ 1. [para(2211(a,1),1233(a,1,1))]. 2215 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2213(a,1),1664(a,1,1)),flip(a)]. 2216 T(x \ 1,K(y,x)) = x \ 1. [hyper(1203,a,2214,a)]. 2217 T(K(x,y),y \ 1) = K(x,y). [hyper(35,a,2216,a)]. 2218 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2216(a,1),380(a,2,1))]. 2219 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2217(a,1),1545(a,1,2)),flip(a)]. 2220 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(2217(a,1),1573(a,1,1,1))]. 2221 K(1 / x,K(y,x)) = 1. [hyper(71,a,2219,a,b,92,a),flip(a)]. 2222 K(x,K(y,x \ 1)) = 1. [para(62(a,1),2221(a,1,1))]. 2223 T(x,K(y,x \ 1)) = x. [hyper(37,a,2222,a)]. 2224 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2223(a,1),176(a,1,2,1)),flip(a)]. 2225 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(2223(a,1),1202(a,1,2)),flip(a)]. 2226 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),2218(a,1,1,1))]. 2227 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(2209(a,2),413(a,1,2)),flip(a)]. 2228 T(x \ y,K(z,y \ x)) = x \ y. [hyper(227,a,375,a(flip),b,2226,a)]. 2229 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2228(a,1),113(a,1,2))]. 2230 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),2125(a,1,1,1))]. 2231 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(429(a,1),2125(a,1,1))]. 2232 (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1528(a,1),2125(a,1,1,1))]. 2233 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(182(a,2),2230(a,1,1))]. 2234 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(65(a,1),2135(a,1,1,1,2))]. 2235 x * L((x \ 1) \ 1,y,z) = (1 / x) \ L(x,y,z). [para(660(a,1),2137(a,1,2,1))]. 2236 x * L(T(x,x \ 1),y,z) = (1 / x) \ L(x,y,z). [para(114(a,2),2235(a,1,2,1))]. 2237 x * L(T(x,x \ 1),y,y) = x / ((y * x) \ y). [hyper(227,a,1026,a(flip),b,2236,a)]. 2238 x * (y * ((x \ y) \ 1)) = x / ((y * x) \ y). [para(1399(a,1),2237(a,1,2))]. 2239 x * (y * ((x \ y) \ 1)) = (y \ (y / x)) \ x. [hyper(227,a,1499,a(flip),b,2238,a)]. 2240 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(2165(a,1),2141(a,1,1)),flip(a)]. 2241 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(227,a,156,a(flip),b,2240,a),flip(a)]. 2242 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(156(a,1),2241(a,2,2,1)),flip(a)]. 2243 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [para(2242(a,1),1558(a,1,2)),flip(a)]. 2244 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(2243(a,1),38(a,1,1)),flip(a)]. 2245 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(85,a,2142,a)]. 2246 x / ((y \ ((z / u) * ((1 / u) \ w))) \ x) = y \ (u \ ((u * z) * w)). [hyper(227,a,62,a,b,2156,a(flip)),flip(a)]. 2247 (x \ ((x / y) / z)) \ 1 = (1 / x) * ((x * z) * y). [hyper(17,a,663,a,b,2158,a),flip(a)]. 2248 x * ((1 / x) * ((x * y) * z)) != u | (((x / z) / y) / x) \ x = u. [para(2247(a,1),694(a,1,2))]. 2249 ((1 / x) * y) \ (y \ x) = ((y / x) * y) \ x. [hyper(338,a,2160,a),flip(a)]. 2250 T(x,x \ 1) / x = K(x,x \ 1). [para(1528(a,1),2202(a,1,1)),flip(a)]. 2251 K(x,1 / x) = K(x,x \ 1). [hyper(227,a,1111,a(flip),b,2250,a(flip)),flip(a)]. 2252 K(x,x \ 1) * x = T(x,x \ 1). [para(2250(a,1),16(a,1,1))]. 2253 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),2250(a,1,1))]. 2254 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1514,a,2251,a),flip(a)]. 2255 K(x,x \ 1) = x * (1 / x). [hyper(403,a,2251,a),flip(a)]. 2256 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(227,a,1148,a,b,2251,a(flip)),flip(a)]. 2257 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(227,a,768,a,b,2251,a(flip)),flip(a)]. 2258 x \ K(x,x \ 1) = 1 / x. [hyper(72,a,2251,a(flip),b,235,a(flip))]. 2259 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(62(a,1),2251(a,1,2)),flip(a)]. 2260 K(x,x \ 1) != y | x * (1 / x) = y. [para(2251(a,1),403(a,1))]. 2261 (x \ 1) * K(x,x \ 1) = 1 / x. [para(2251(a,1),1116(a,1,2))]. 2262 K(x,x \ 1) * (1 / (1 / x)) = x. [para(2251(a,1),1149(a,1,1))]. 2263 K(x,x \ 1) = (x \ 1) * x. [hyper(227,a,800,a,b,2255,a)]. 2265 K(x,x \ 1) \ 1 = K(1 / x,x). [para(2255(a,2),96(a,1,1))]. 2266 K(x,x \ 1) * x = (x \ 1) \ 1. [para(2255(a,2),1986(a,1,1))]. 2267 (1 / (1 / x)) * K(x,x \ 1) = x. [para(2255(a,2),2173(a,1,2))]. 2269 K(x * y,(x * y) \ 1) = (y \ (x \ 1)) * (x * y). [para(123(a,1),2263(a,2,1))]. 2270 ((x * K(y,y \ 1)) * y) / T(y,y \ 1) = R(x,K(y,y \ 1),y). [para(2252(a,1),30(a,2,2)),flip(a)]. 2271 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(2252(a,1),100(a,1,1))]. 2272 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(2252(a,1),464(a,1,1))]. 2273 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(2252(a,1),474(a,1,2,2))]. 2274 K(x,x \ 1) \ x = 1 / (1 / x). [para(2256(a,1),65(a,1,1))]. 2275 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1859,a,2261,a)]. 2276 (x \ 1) * y != 1 / x | K(x,x \ 1) = y. [para(2261(a,1),19(a,1)),flip(a)]. 2277 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2262(a,1),100(a,1,1))]. 2278 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2262(a,1),102(a,2,1))]. 2280 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(2266(a,1),459(a,1,1))]. 2281 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(2267(a,1),100(a,1,1))]. 2282 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(2267(a,1),109(a,1,2))]. 2283 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(2275(a,1),523(a,1,1))]. 2284 K(1 / x,x) = K(x \ 1,x). [para(65(a,1),2254(a,1,2))]. 2285 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(227,a,2265,a,b,2284,a(flip)),flip(a)]. 2286 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(62(a,1),2284(a,1,1)),flip(a)]. 2287 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(2285(a,1),263(a,1,2,2))]. 2288 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(227,a,2284,a,b,2257,a(flip)),flip(a)]. 2289 K(x * y,y \ (x \ 1)) = (y \ (x \ 1)) * (x * y). [hyper(227,a,1899,a(flip),b,2269,a(flip)),flip(a)]. 2290 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(2204(a,2),114(a,1,2))]. 2291 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2224(a,1),19(a,1)),flip(a)]. 2292 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),2245(a,1,1,1)),flip(a)]. 2293 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2129(a,1),2292(a,1,2,1,2))]. 2294 (x * (y * z)) * ((x * y) \ 1) = T(L(z,y,x),y \ (x \ 1)). [para(123(a,1),678(a,2,2))]. 2295 T(T(x,y / z),z * (y \ 1)) = R(x,y / z,z * (y \ 1)). [para(125(a,1),814(a,2,3))]. 2296 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(227,a,469,a(flip),b,839,a(flip)),flip(a)]. 2297 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(177(a,1),2296(a,1,2)),flip(a)]. 2298 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(588,a,2297,a)]. 2299 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(545,a,2297,a)]. 2300 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(308,a,2297,a),flip(a)]. 2301 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(78,a,2297,a)]. 2302 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),2297(a,1,2)),flip(a)]. 2303 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(2299(a,1),281(a,1,1)),flip(b)]. 2304 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(166,a,109,a(flip),b,2300,a),flip(a)]. 2305 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),2304(a,1,2))]. 2306 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(78,a,2305,a)]. 2307 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(385(a,1),848(a,1,1,1))]. 2308 T(x / (x / y),y \ x) = y. [hyper(852,a,1964,a)]. 2309 T(T(x / (x / y),z),y \ x) = T(y,z). [para(2308(a,1),38(a,1,1)),flip(a)]. 2310 T(x / (x / (x / y)),y) = x / y. [para(65(a,1),2308(a,1,2))]. 2311 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(2308(a,1),113(a,1,2)),flip(a)]. 2312 ((x \ y) * x) / (x \ y) = y / (y / x). [para(2308(a,1),161(a,1,1,2))]. 2313 ((x \ y) * x) / (x \ y) != z | y / (y / x) = z. [para(2308(a,1),297(a,1,1,2)),flip(b)]. 2314 ((x \ y) * x) / (x \ y) != z * u | z \ (y / (y / x)) = u. [para(2308(a,1),559(a,1,1,2))]. 2315 (x * (y / x)) / x = y / (y / (y / x)). [para(2310(a,1),161(a,1,1,2))]. 2316 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(2310(a,1),868(a,1,1))]. 2320 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(2315(a,1),1584(a,1,1))]. 2321 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(479(a,1),862(a,1,2,1)),flip(a)]. 2322 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(482(a,1),864(a,1,2,1)),flip(a)]. 2323 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(866(a,1),461(a,1,2)),flip(a)]. 2324 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(869(a,1),494(a,1,1)),flip(a)]. 2325 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(227,a,501,a(flip),b,893,a(flip))]. 2326 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(227,a,502,a(flip),b,894,a(flip))]. 2327 L(((1 / x) \ y) * z,x,x) = (x * (y * (z / x))) * x. [hyper(2003,a,1354,a),flip(a)]. 2328 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(100(a,1),1481(a,1,1,1,1))]. 2329 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(1580(a,1),100(a,1,2))]. 2330 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(1580(a,1),209(a,1,2))]. 2331 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(1581(a,1),100(a,1,2))]. 2333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(1582(a,1),462(a,1,2)),flip(a)]. 2334 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(73,a,1587,a(flip),b,185,a),flip(a)]. 2335 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(1640(a,1),471(a,1,2))]. 2336 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(1644(a,1),719(a,1,2))]. 2337 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(227,a,860,a(flip),b,1681,a)]. 2338 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(2337(a,1),65(a,1,1))]. 2340 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(227,a,433,a(flip),b,1698,a)]. 2341 (x \ (x / (y \ 1))) / (y \ 1) = 1 / (y \ (x \ (x / y))). [para(1371(a,1),1776(a,2,2,2))]. 2342 (x \ (x / (y \ 1))) / (y \ 1) = (1 / (x \ (x / y))) * y. [hyper(227,a,313,a(flip),b,2341,a)]. 2343 (x \ (x / (y \ 1))) / (y \ 1) = ((1 / (x / y)) * x) * y. [para(313(a,1),2342(a,2,1))]. 2344 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(227,a,1151,a(flip),b,1807,a)]. 2345 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2344(a,1),14(a,1,2))]. 2346 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2251(a,1),2345(a,1,1))]. 2347 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2274(a,2),2346(a,1,2,1))]. 2348 (x * y) * ((1 / y) * (1 / y)) = R(x,y,1) * (1 / y). [para(50(a,1),1836(a,2,1,3))]. 2350 (x * y) * ((1 / y) * (1 / y)) = x * (1 / y). [para(371(a,1),2348(a,2,1))]. 2351 (x * y) * (1 * (y \ (1 / y))) = x * (1 / y). [para(926(a,1),2350(a,1,2))]. 2352 (x * y) * (y \ (1 / y)) = x * (1 / y). [para(11(a,1),2351(a,1,2))]. 2353 (x / y) * (1 / y) = x * (y \ (1 / y)). [hyper(306,a,2352,a),flip(a)]. 2354 x * (y \ (1 / y)) != z * (1 / y) | z * y = x. [para(2352(a,1),20(a,1)),flip(a)]. 2355 (x / y) \ (1 / x) = y * (x \ (1 / x)). [hyper(227,a,1002,a,b,2353,a(flip)),flip(a)]. 2356 (x * (y \ (1 / y))) * y = x * (y \ 1). [para(2355(a,1),319(a,1,1))]. 2357 (((x \ 1) \ y) * (x \ (1 / x))) * x = y * K((x \ 1) \ y,x \ 1). [hyper(227,a,236,a,b,2356,a)]. 2358 (((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x))) * x = ((x \ 1) \ 1) * y. [hyper(227,a,1994,a(flip),b,2356,a)]. 2359 ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = (((x \ 1) \ 1) * y) / x. [hyper(73,a,1994,a(flip),b,2356,a),flip(a)]. 2360 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(227,a,386,a(flip),b,1868,a)]. 2361 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),2360(a,1,1,1))]. 2362 T(x \ y,K(x / y,z)) = T(y / x,x). [para(2361(a,1),178(a,1,1)),flip(a)]. 2363 T(x \ y,K(x / y,z)) = x \ y. [hyper(227,a,115,a(flip),b,2362,a)]. 2364 (x * (T(x / y,x) / z)) \ x = L(z,x,x) * ((1 / x) * y). [para(1223(a,1),1892(a,1,1,2,1))]. 2365 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(18,a,898,a(flip),b,1944,a)]. 2366 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(2365(a,1),46(a,1,1)),flip(a)]. 2367 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(2366(a,1),1944(a,1,1)),flip(a)]. 2368 (x * (y * z)) * ((x * y) \ 1) = L(T(z,y \ (x \ 1)),y,x). [hyper(227,a,40,a,b,2294,a)]. 2369 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(227,a,777,a(flip),b,2316,a)]. 2370 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(2315(a,2),2369(a,1,2))]. 2371 (x * (y * z)) * (y \ (x \ 1)) = L(T(z,y \ (x \ 1)),y,x). [para(123(a,1),2368(a,1,2))]. 2372 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),497(a,1,1,1))]. 2373 R(T(x \ y,x * z),x,z) != u | T((x * z) \ (y * z),x) = u. [para(42(a,2),884(a,1))]. 2374 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(102(a,1),930(a,1,2,1))]. 2375 (x * y) * L(x * y,z,u) != w | x * (y * L(x * y,z,u)) = w. [para(956(a,1),931(a,1,2,1))]. 2376 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1171(a,1,2)),flip(a)]. 2377 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(62(a,1),2376(a,1,2,1,1)),flip(a)]. 2378 (x * ((x \ 1) * y)) * x = x * (x \ (y / (x \ 1))). [para(62(a,1),1277(a,1,2,1)),flip(a)]. 2379 (x * ((x \ 1) * y)) * x = y / (x \ 1). [hyper(227,a,14,a(flip),b,2378,a)]. 2381 ((x * (y / (z \ 1))) * (z \ 1)) / (z \ 1) = (z * (((1 / (z \ 1)) \ x) * y)) * z. [para(121(a,1),2379(a,1,1,2)),flip(a)]. 2382 T(((1 / (x \ 1)) \ y) * (1 / x),x) = (x \ (1 / x)) * y. [para(1257(a,1),1403(a,2,1))]. 2383 T((x \ y) * (1 / x),x) = (x \ (1 / x)) * y. [para(62(a,1),2382(a,1,1,1,1))]. 2384 (x \ (1 / x)) * y = (x \ 1) * (x \ y). [hyper(227,a,1395,a(flip),b,2383,a(flip))]. 2385 ((x \ y) \ ((1 / y) * x)) * z = ((x \ y) \ 1) * ((x \ y) \ z). [para(313(a,1),2384(a,1,1,2))]. 2386 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(227,a,671,a(flip),b,1492,a)]. 2387 (1 / x) \ (1 / (y * (z \ (u \ x)))) = (u * (z * x)) / (y * x). [para(756(a,1),1501(a,1,2))]. 2388 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(227,a,429,a(flip),b,1642,a)]. 2389 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(395,a,1682,a),flip(a)]. 2390 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(176(a,1),2389(a,1,2)),flip(a)]. 2391 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(1668,a,2390,a),flip(a)]. 2392 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(588,a,2390,a)]. 2393 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(586,a,2390,a),flip(a)]. 2394 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(308,a,2390,a),flip(a)]. 2395 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(78,a,2390,a)]. 2396 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(72,a,86,a(flip),b,2390,a)]. 2397 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(2255(a,2),2390(a,1,2))]. 2398 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(78,a,2393,a)]. 2399 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(72,a,32,a,b,2393,a),flip(a)]. 2401 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(2395(a,1),2340(a,1,1,1)),flip(a)]. 2402 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(2255(a,2),2396(a,1,2))]. 2403 L(x,y,z) * (x \ (L(x,y,z) \ u)) != w | x \ u = w. [para(2398(a,1),205(a,1,2)),flip(b)]. 2404 x * (L(x,y,z) \ (x \ u)) != w | L(x,y,z) \ u = w. [para(2398(a,2),205(a,1,2)),flip(b)]. 2405 L(x,y,z) * (x \ 1) != u | x \ L(x,y,z) = u. [para(52(a,1),2403(a,1,2,2))]. 2406 (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. [para(718(a,2),2405(a,1))]. 2407 x * (L(x,y,z) \ u) != w | L(x,y,z) \ (x * u) = w. [para(13(a,1),2404(a,1,2,2))]. 2408 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(227,a,2224,a(flip),b,2397,a(flip)),flip(a)]. 2410 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(161(a,1),1749(a,1,2,2))]. 2411 (1 / x) * ((y * (1 / x)) \ ((1 / z) \ 1)) = (y \ (z / x)) * x. [para(339(a,1),1800(a,2,1,2))]. 2412 (1 / x) * ((y * (1 / x)) \ T(z * z,1)) = (y \ (((z * z) \ 1) \ (1 / x))) * x. [para(1338(a,1),1800(a,1,2,2))]. 2413 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(78,a,1842,a)]. 2414 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(72,a,113,a(flip),b,1842,a),flip(a)]. 2415 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),1842(a,2,2,1,2))]. 2416 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(78,a,2415,a),flip(a)]. 2417 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(271(a,1),2415(a,1,2)),flip(a)]. 2418 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(2191(a,2),2415(a,1,2)),flip(a)]. 2419 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(457,a,2418,a),flip(a)]. 2420 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(227,a,1762,a(flip),b,2418,a(flip))]. 2421 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),2418(a,1,2,1)),flip(a)]. 2422 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),2418(a,2,2,1,2,2))]. 2423 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),2419(a,1,1,2))]. 2424 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(32(a,2),2419(a,1,1,2,2))]. 2425 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(65(a,1),2419(a,2,2,2,1))]. 2426 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),2417(a,1,2,1)),flip(a)]. 2427 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(73,a,429,a(flip),b,1843,a)]. 2428 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1918(a,1),711(a,1,2))]. 2429 ((x * (x \ y)) * x) / (x \ 1) = y * (x / (x \ 1)). [para(62(a,1),1995(a,1,1,1,2,1))]. 2430 (x * y) / (y \ 1) = x * (y / (y \ 1)). [para(14(a,1),2429(a,1,1,1))]. 2431 (1 / (x * y)) \ y = x * (y / (y \ 1)). [hyper(334,a,2430,a)]. 2433 (1 / (x * y)) \ y = x * ((1 / y) \ y). [para(317(a,1),2431(a,2,2))]. 2434 (x * ((1 / y) \ y)) / y = x / (1 / y). [hyper(73,a,2433,a(flip),b,1142,a(flip))]. 2435 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(227,a,1585,a(flip),b,2051,a(flip)),flip(a)]. 2436 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1491(a,1),2435(a,1,1))]. 2437 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(664(a,1),2436(a,1,1,2,1))]. 2438 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),2162(a,1,1)),flip(a)]. 2439 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(588,a,2438,a)]. 2440 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(72,a,86,a(flip),b,2438,a)]. 2441 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(863,a,2439,a),flip(a)]. 2442 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(1485,a,2307,a),flip(a)]. 2443 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(2057,a,2334,a),flip(a)]. 2444 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),2443(a,1,1,1,2)),flip(a)]. 2445 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [para(13(a,1),2336(a,1,2,1)),flip(a)]. 2446 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(429(a,1),2336(a,2,1))]. 2447 (x * T(y,z)) * y = (x * y) * T(y,z). [para(430(a,1),2445(a,1,1))]. 2448 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(591,a,2447,a)]. 2449 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(420,a,87,a(flip),b,2447,a)]. 2450 (x * T(y,x * y)) * y = y * (x * y). [hyper(227,a,113,a(flip),b,2447,a)]. 2451 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(227,a,87,a(flip),b,2447,a)]. 2452 T(x * T(y,x * y),y) = x * y. [hyper(166,a,2447,a,b,113,a(flip))]. 2453 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(78,a,2447,a)]. 2454 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(73,a,87,a(flip),b,2447,a)]. 2455 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(73,a,69,a(flip),b,2447,a),flip(a)]. 2456 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(72,a,87,a(flip),b,2447,a)]. 2457 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),2447(a,1,1,2)),flip(a)]. 2459 x * T(y,x * y) = (1 / y) \ x. [hyper(18,a,619,a,b,2450,a)]. 2460 T(x,y * x) = T(1 / x,y) \ 1. [hyper(17,a,659,a,b,2459,a)]. 2461 T(x,y * x) = T(x,x * y). [hyper(227,a,1562,a,b,2460,a)]. 2462 T(x,y * x) != z | T(x,x * y) = z. [para(2460(a,2),1563(a,1))]. 2464 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(227,a,42,a,b,2461,a(flip)),flip(a)]. 2465 T(x,(x \ y) * x) = T(x,y). [para(14(a,1),2461(a,2,2))]. 2466 T(T(x,x * y),z) = T(T(x,z),y * x). [para(2461(a,1),38(a,1,1))]. 2467 T(T(x,y * x),z) = T(T(x,z),x * y). [para(2461(a,2),38(a,1,1))]. 2468 x * T(y,x * y) = L(y,x,y) * x. [para(2461(a,2),838(a,1,2))]. 2469 R(T(x,x * y),y,x) = T(x,y). [para(2461(a,1),891(a,1,1))]. 2470 R(T(x,y),x \ y,x) = T(x,x \ y). [para(2465(a,1),891(a,1,1))]. 2471 T(x,(x \ 1) * (y * x)) = T(x,y). [para(1999(a,2),2465(a,1,2))]. 2472 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(2469(a,1),177(a,1,2)),flip(a)]. 2473 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(2469(a,1),1955(a,1,2)),flip(a)]. 2474 L(x,T(y,x),x) = L(x,y,x). [hyper(2085,a,2468,a)]. 2475 L(x,y,(y * x) / y) = L(x,y,x). [hyper(1700,a,2468,a)]. 2476 T(L(x,y,x) * y,x) = y * x. [para(2468(a,1),2452(a,1,1))]. 2477 (L(x,y,x) * y) * x = x * (y * x). [para(2468(a,1),2450(a,1,1))]. 2478 (x * (y * x)) / x = L(x,y,x) * y. [para(2476(a,1),161(a,1,1,2))]. 2479 T(x,L(x,y,x) * y) = T(x,y * x). [para(2476(a,1),1938(a,1,2)),flip(a)]. 2480 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(227,a,114,a(flip),b,2470,a)]. 2481 L(R(x,y,x),y,x) = x. [hyper(1815,a,2477,a)]. 2482 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(72,a,2478,a,b,xx)]. 2483 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(227,a,2461,a(flip),b,2479,a)]. 2484 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(842(a,1),2479(a,1,2))]. 2486 T((x / y) * T(y,x),y) = x. [hyper(166,a,2451,a,b,113,a(flip))]. 2487 (x / y) * T(y,x) = (y * x) / y. [hyper(73,a,113,a(flip),b,2451,a),flip(a)]. 2489 T(x * T(x \ y,y),x \ y) = y. [para(62(a,1),2486(a,1,1,1))]. 2490 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(420,a,xx,b,2487,a),flip(a)]. 2491 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(73,a,2487,a(flip),b,113,a)]. 2493 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(411(a,1),2487(a,1,1)),flip(a)]. 2494 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(1939(a,1),2487(a,1,1)),flip(a)]. 2495 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(2487(a,1),2425(a,2,2))]. 2496 T(T(x,y),y \ x) = x. [para(770(a,1),2489(a,1,1))]. 2497 T(T(x,y \ x),y) = x. [hyper(439,a,2496,a)]. 2498 T(x,y) * (y \ x) = (y \ x) * x. [para(2496(a,1),113(a,1,2)),flip(a)]. 2499 T(x,y \ x) = (y * x) / y. [para(2496(a,1),193(a,1,1,2)),flip(a)]. 2500 T(T(x,y),x / y) = x. [para(65(a,1),2497(a,1,1,2))]. 2501 (x * y) / x != z | T(y,x \ y) = z. [para(2497(a,1),297(a,1,1,2)),flip(b)]. 2502 T(x,T(y,y / x)) = T(x,y). [para(2500(a,1),1950(a,1,2)),flip(a)]. 2503 T(x,y \ x) = y * (x * (y \ 1)). [hyper(227,a,1278,a,b,2499,a)]. 2504 (x * y) / ((x * y) * x) = T(y,x \ y) * ((x * y) \ 1). [para(2499(a,2),781(a,1,1)),flip(a)]. 2505 T((x * y) / x,x) * (y * (x \ 1)) = (x \ ((x * y) / x)) * ((x * y) / x). [para(1258(a,1),2498(a,1,2))]. 2506 x * ((y * (x \ y)) / y) = T(y,x \ y). [para(1216(a,2),2503(a,2,2)),flip(a)]. 2507 T(x,y \ x) != z | (y * x) / y = z. [para(2503(a,2),1287(a,1))]. 2508 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(2453(a,1),1851(a,1,1)),flip(a)]. 2509 ((x / T(y,z)) / y) * T(y,z) != u | x / y = u. [para(2454(a,1),409(a,1))]. 2510 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1553(a,1),2455(a,1,1,1))]. 2511 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(439,a,2466,a),flip(a)]. 2512 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(2467(a,1),439(a,1))]. 2513 T(x,x / y) = T(x,y \ x). [hyper(2066,a,2506,a)]. 2514 T(x,x / (1 / y)) = T(x,x * y). [hyper(227,a,1959,a(flip),b,2513,a)]. 2515 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(227,a,1953,a(flip),b,2513,a(flip))]. 2516 T(x,(y \ x) \ x) = T(x,y). [para(62(a,1),2513(a,1,2)),flip(a)]. 2517 T(x,x / (x / y)) = T(x,y). [para(65(a,1),2513(a,2,2))]. 2518 T(T(x,y \ x) / y,x) = x / y. [para(2513(a,1),2056(a,1,1,1))]. 2519 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),2516(a,1,2))]. 2520 (x / y) \ T(x,y) = (x * y) / x. [hyper(72,a,2517,a(flip),b,2064,a)]. 2521 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),2519(a,1,2,2))]. 2522 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [hyper(227,a,2517,a,b,2514,a),flip(a)]. 2523 T(x,(1 / y) * x) = T(x,y \ x). [para(65(a,1),2515(a,1,2,1)),flip(a)]. 2524 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),2520(a,1,1)),flip(a)]. 2525 T(x,x * (1 / y)) = T(x,y \ x). [hyper(2462,a,2523,a)]. 2526 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(2511(a,2),439(a,1))]. 2527 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,503,a,b,2472,a),flip(a)]. 2528 x \ T(y * x,y) = R(y,x,y). [hyper(2071,a,2527,a)]. 2529 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(1938(a,1),2527(a,1,3))]. 2530 x * R(y,x,y) = T(y * x,y). [para(2527(a,1),2070(a,1,2))]. 2531 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),2528(a,1,2,1)),flip(a)]. 2532 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(2528(a,1),102(a,1,1)),flip(a)]. 2533 x \ T(y * x,y) != z | R(y,x,y) = z. [para(2530(a,1),282(a,1,2)),flip(b)]. 2534 R(x,T(y,x),x) = R(x,y,x). [hyper(227,a,2365,a(flip),b,2529,a(flip))]. 2535 R(x,y / x,x) = R(x,x \ y,x). [para(115(a,1),2534(a,1,2)),flip(a)]. 2536 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(227,a,2531,a(flip),b,2535,a)]. 2537 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(15(a,1),2536(a,1,2)),flip(a)]. 2538 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(838(a,1),2508(a,1,1,2))]. 2539 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(227,a,2465,a(flip),b,2484,a)]. 2540 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(2539(a,1),2508(a,1,1))]. 2541 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [para(14(a,1),2522(a,1,2,2,2)),flip(a)]. 2542 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(2524(a,1),888(a,1,1))]. 2543 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(2542(a,1),94(a,1,1))]. 2544 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(227,a,2444,a(flip),b,2541,a(flip)),flip(a)]. 2545 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [para(2544(a,1),16(a,1,1))]. 2546 T(x,y) * (x \ y) = (x * y) / x. [para(2517(a,1),2545(a,1,1))]. 2547 T(x / y,T(y,x)) = y \ x. [hyper(166,a,2487,a,b,2546,a)]. 2548 T(x,y) \ ((x * y) / x) = x \ y. [hyper(78,a,2546,a)]. 2549 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(93(a,1),2546(a,1,2))]. 2550 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(2546(a,1),474(a,1,1))]. 2551 T(x,y) * y = x * ((x * y) / x). [para(2546(a,1),1925(a,1,2)),flip(a)]. 2552 T(x \ y,T(x,y)) = T(x \ y,x). [para(2547(a,1),178(a,1,1)),flip(a)]. 2553 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),2551(a,2,2,1))]. 2554 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(2552(a,1),113(a,1,2))]. 2556 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(2552(a,2),858(a,1,2,2))]. 2557 (x / y) * T(y,z) != u | (x * T(y,z)) / y = u. [para(15(a,1),2509(a,1,1,1))]. 2558 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(2483(a,1),2538(a,1,1))]. 2559 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),2457(a,1,2))]. 2560 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(160(a,1),2457(a,1,2)),flip(a)]. 2561 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(181(a,1),2457(a,1,2)),flip(a)]. 2562 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(591,a,2559,a)]. 2563 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(73,a,87,a(flip),b,2559,a)]. 2565 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(227,a,2311,a(flip),b,2562,a)]. 2566 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(227,a,2020,a(flip),b,2565,a(flip)),flip(a)]. 2567 ((x \ y) * x) * (y / x) = y * (x \ y). [para(2565(a,1),16(a,1,1))]. 2568 (x * y) / ((x * y) * x) = T(y,x \ y) * (y \ (x \ 1)). [para(123(a,1),2504(a,2,2))]. 2569 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2347(a,1),1797(a,1,1))]. 2570 ((1 / x) * ((y / x) * y)) * z = ((y \ x) \ 1) * ((y \ x) \ z). [para(2159(a,1),2385(a,1,1))]. 2571 (x * (y * z)) / (u * z) = z / (u * (y \ (x \ z))). [hyper(350,a,2387,a),flip(a)]. 2572 (x * (y * z)) / (u * z) != w | z / (u * (y \ (x \ z))) = w. [para(2387(a,1),350(a,1))]. 2573 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(227,a,1637,a(flip),b,2388,a)]. 2574 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [para(115(a,1),2388(a,1,1,1)),flip(a)]. 2575 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(227,a,1637,a(flip),b,2574,a(flip)),flip(a)]. 2576 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(227,a,1636,a(flip),b,2574,a(flip))]. 2577 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(227,a,849,a(flip),b,2574,a(flip))]. 2578 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(1647(a,1),2575(a,1,2)),flip(a)]. 2579 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1764(a,1),2575(a,1,2)),flip(a)]. 2580 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(2233(a,2),2575(a,1,2)),flip(a)]. 2581 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(161(a,1),2576(a,1,1,1,2)),flip(a)]. 2582 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(113(a,1),2581(a,1,2))]. 2583 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(167,a,2582,a)]. 2584 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(73,a,2583,a,b,xx)]. 2585 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(72,a,2583,a,b,236,a)]. 2586 x * (T((x \ y) * x,x) / x) = T(y,x). [para(2583(a,2),61(a,1,2,1))]. 2587 T(x * y,y) / y = y \ T(y * x,y). [para(13(a,1),2584(a,1,1,1,1))]. 2588 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(2584(a,1),207(a,1,1)),flip(b)]. 2589 x \ T(x * (y / x),x) = T(y,x) / x. [para(66(a,1),2584(a,1,1,1)),flip(a)]. 2592 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),2586(a,1,2,1,1,1))]. 2593 T(x * (y / x),x) = x * (T(y,x) / x). [para(66(a,1),2586(a,1,2,1,1)),flip(a)]. 2594 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(430(a,1),2587(a,1,1,1)),flip(a)]. 2595 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(717(a,1),2587(a,1,1,1)),flip(a)]. 2596 x * ((1 / x) * (y * x)) = T(x * y,x). [hyper(227,a,651,a(flip),b,2592,a(flip)),flip(a)]. 2597 T(x * (y / x),x) = x * (y / T(x,y)). [para(1222(a,1),2593(a,2,2))]. 2598 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),2585(a,1,2,1,1))]. 2599 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(59(a,1),2580(a,1,1,1,2)),flip(a)]. 2601 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(182(a,2),2599(a,2,1))]. 2602 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(2286(a,1),2601(a,1,2,1))]. 2603 (1 / x) * ((y * (1 / x)) \ z) = (y \ (z / x)) * x. [para(65(a,1),2411(a,1,2,2))]. 2604 (((x * y) \ x) \ (z / x)) * x = (1 / x) * ((y \ (1 / x)) \ z). [para(1003(a,1),2603(a,1,2,1)),flip(a)]. 2605 a(x,1 / y,(x * (1 / y)) \ z) = (x * ((x \ (z / y)) * y)) \ z. [para(2603(a,1),91(a,1,1,2)),flip(a)]. 2606 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),2413(a,1,2,2,1,2)),flip(a)]. 2607 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(227,a,429,a(flip),b,2427,a)]. 2608 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(715(a,1),2442(a,1,1))]. 2609 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(227,a,1637,a(flip),b,2446,a(flip)),flip(a)]. 2610 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(166,a,2446,a(flip),b,1637,a(flip)),flip(a)]. 2611 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),2446(a,1,2,1,2))]. 2613 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),2610(a,1,2,1,2)),flip(a)]. 2614 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(72,a,2613,a,b,xx)]. 2615 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),2614(a,1,2,1,2,1))]. 2617 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(2589(a,1),2615(a,2,1))]. 2618 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(2617(a,1),14(a,1,2)),flip(a)]. 2619 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(2618(a,2),282(a,1,2)),flip(b)]. 2620 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(227,a,1637,a(flip),b,2611,a(flip)),flip(a)]. 2621 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(2611(a,1),2424(a,2,2))]. 2622 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),2620(a,1,2)),flip(a)]. 2623 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(85,a,2622,a)]. 2624 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(731(a,1),2623(a,1,1,2,1))]. 2625 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(227,a,32,a,b,2621,a),flip(a)]. 2626 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(271(a,1),2625(a,1,1)),flip(a)]. 2627 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(2227(a,2),2625(a,1,1)),flip(a)]. 2628 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(114(a,1),2627(a,1,1,2,2)),flip(a)]. 2629 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(375(a,1),2627(a,1,1,2,2,1))]. 2630 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(114(a,1),2629(a,1,1,2,2)),flip(a)]. 2631 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(2494(a,2),1957(a,1))]. 2632 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(1747,a,2510,a)]. 2633 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(2549(a,1),20(a,1))]. 2634 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),2560(a,1,1,2)),flip(a)]. 2635 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(591,a,2634,a)]. 2636 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(65(a,1),2561(a,1,1,2)),flip(a)]. 2637 ((x / y) / (z / (z / y))) * y = x / (z / (z / y)). [hyper(589,a,2636,a),flip(a)]. 2638 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(429(a,1),2573(a,1,1))]. 2639 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(2619,a,2594,a),flip(a)]. 2640 (((x * y) \ x) \ (z / x)) * x = ((x / z) * (y \ 1)) \ x. [hyper(227,a,1525,a(flip),b,2604,a)]. 2641 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),2606(a,1,1))]. 2642 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(11(a,1),2607(a,1,1,2,1,2)),flip(a)]. 2643 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(113(a,1),2607(a,1,1)),flip(a)]. 2644 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(1636(a,1),2607(a,1,1)),flip(a)]. 2645 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(2193,a,2642,a)]. 2646 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(2645(a,2),16(a,1,1))]. 2647 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),2645(a,1,1,2,2))]. 2648 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(2063(a,1),2645(a,2,1,2))]. 2649 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(59(a,1),2646(a,1,1,1,2))]. 2650 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(227,a,427,a(flip),b,2649,a)]. 2651 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1915(a,1),2608(a,1,1,2)),flip(a)]. 2652 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(2255(a,2),2651(a,2,1))]. 2653 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),2609(a,1,2,2,1,2,2))]. 2654 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(273(a,1),2609(a,2,1,2,1))]. 2655 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(664(a,1),2632(a,1,2,1))]. 2656 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(2638(a,1),283(a,1,2))]. 2657 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(1647(a,1),2638(a,1,1)),flip(a)]. 2658 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(2124(a,2),2638(a,1,1))]. 2659 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),2658(a,2,2,2,1,2))]. 2661 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),2659(a,2,2))]. 2662 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(271(a,1),2659(a,2,2))]. 2663 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,109,a(flip),b,2661,a)]. 2665 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1473(a,1),2662(a,1,1,1))]. 2666 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(2663(a,1),20(a,1)),flip(a)]. 2667 R(x,y / z,z * (y \ 1)) != u | (x * (y / z)) * (z * (y \ 1)) = u. [para(322(a,1),214(a,1)),flip(b)]. 2668 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(1583(a,1),461(a,1,2)),flip(a)]. 2669 L(x,y,z) / (z * y) = (1 / y) * ((y * x) / (z * y)). [para(335(a,1),1612(a,1,1)),flip(a)]. 2671 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(486(a,1),1638(a,1,2,1))]. 2672 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(432(a,1),1744(a,1,2)),flip(a)]. 2673 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(432(a,1),2672(a,1,2)),flip(a)]. 2674 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(2673(a,1),46(a,1,1)),flip(a)]. 2675 L(T(x,y / z),y,y) * (z / y) != u | L((y / z) \ x,y,y) = u. [para(1896(a,2),1412(a,1))]. 2676 ((x * K(y,y \ 1)) / T(y,y \ 1)) * y = R(x,K(y,y \ 1),y). [hyper(227,a,2448,a(flip),b,2270,a(flip)),flip(a)]. 2677 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(227,a,502,a(flip),b,2367,a)]. 2678 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(2305(a,1),2677(a,1,1))]. 2679 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),2401(a,2,1))]. 2680 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(2679(a,1),430(a,1,1)),flip(a)]. 2681 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,176,a,b,2680,a),flip(a)]. 2682 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(14(a,1),883(a,2,1,1,2))]. 2683 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(227,a,429,a(flip),b,2682,a)]. 2684 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(15(a,1),2683(a,1,1,1,2))]. 2685 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(1678,a,2684,a)]. 2686 T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). [para(2258(a,1),2685(a,1,1,1)),flip(a)]. 2687 T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). [hyper(227,a,1665,a(flip),b,2686,a)]. 2688 T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). [para(2259(a,1),2687(a,1,1,2,1))]. 2689 T(x,y \ 1) * T(x,y \ 1) = (y * x) * (x * (y \ 1)). [para(113(a,1),943(a,1,2)),flip(a)]. 2690 (x \ (y \ 1)) * (z * (x \ (y \ 1))) = (y * x) \ (z / (y * x)). [hyper(227,a,1281,a(flip),b,1340,a)]. 2691 ((1 / x) * y) * (1 / ((y \ x) / z)) = (z \ (y \ x)) \ (1 / (y \ x)). [hyper(227,a,1466,a(flip),b,1497,a)]. 2692 x / (y \ ((((x \ 1) \ 1) \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). [para(1058(a,1),1507(a,1,2,2,1,1))]. 2693 T(x \ (1 / T(y,y \ 1)),T(y,y \ 1)) = T(x,y) \ (1 / y). [hyper(227,a,1512,a(flip),b,1557,a)]. 2694 T(x \ (y \ 1),T(y,y \ 1)) = T(x,y) \ (1 / y). [para(190(a,1),2693(a,1,1,2))]. 2695 T(1 \ (x * y),(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). [para(59(a,1),1564(a,1,1,1))]. 2696 T(x * y,(y \ (x \ 1)) \ z) = 1 / T(y \ (x \ 1),z). [para(50(a,1),2695(a,1,1))]. 2698 ((1 / x) * (1 / x)) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). [para(1058(a,1),1571(a,2,1))]. 2699 (x * (1 / y)) * ((y \ 1) * x) = x * ((1 / y) * ((y \ 1) * x)). [para(1395(a,1),1727(a,1,2,2)),flip(a)]. 2700 (x * (1 / y)) * ((y \ 1) * x) = x * (y \ (y \ x)). [para(2164(a,1),2699(a,2,2))]. 2701 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(1579,a,1816,a),flip(a)]. 2702 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(1485,a,1816,a)]. 2703 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(717(a,1),2701(a,1,1))]. 2704 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(548,a,2703,a)]. 2705 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(78,a,2703,a)]. 2706 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(73,a,87,a(flip),b,2703,a)]. 2707 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(72,a,87,a(flip),b,2703,a)]. 2708 ((x \ 1) * y) * L(y,x,x) = (x \ y) * y. [para(1349(a,1),2703(a,1,1)),flip(a)]. 2709 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(2704(a,1),292(a,1,2)),flip(b)]. 2710 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(2705(a,1),1851(a,1,1)),flip(a)]. 2711 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(100(a,1),2706(a,1,1)),flip(a)]. 2712 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(2710(a,1),719(a,1,2))]. 2713 T((x * y) / x,L(x,y,x)) = y. [hyper(166,a,2711,a,b,2478,a(flip))]. 2714 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(78,a,2711,a),flip(a)]. 2716 T(x,L(y,x,y)) = T(x,y). [para(2713(a,1),191(a,1,1)),flip(a)]. 2717 T(x,T(y,y * x)) = T(x,y). [hyper(227,a,1956,a,b,2716,a(flip)),flip(a)]. 2718 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(2716(a,1),113(a,1,2))]. 2719 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(2717(a,1),176(a,1,2,1))]. 2720 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(2717(a,1),177(a,1,2,1))]. 2723 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(227,a,2083,a,b,2718,a(flip)),flip(a)]. 2725 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(2461(a,2),2723(a,1,2))]. 2727 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(1489,a,1817,a)]. 2728 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(227,a,177,a(flip),b,1820,a)]. 2729 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(664(a,1),2728(a,1,2,1,2))]. 2730 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(1747,a,1850,a)]. 2731 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(109(a,1),1850(a,1,2))]. 2732 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(227,a,1704,a,b,1919,a(flip)),flip(a)]. 2733 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(2040(a,1),1961(a,1,1))]. 2734 T(x,T(y,T(x,z))) = T(x,y). [hyper(227,a,1265,a(flip),b,2733,a(flip))]. 2736 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(181(a,1),2734(a,1,2,2))]. 2739 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(2736(a,1),2032(a,1,1))]. 2740 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(1985(a,2),439(a,1))]. 2741 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != (1 / x) * z | y * ((x \ 1) \ 1) = z. [para(2007(a,2),19(a,1))]. 2742 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(1588,a,2052,a)]. 2743 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(671(a,1),2742(a,1,1))]. 2744 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(161(a,1),2743(a,1,1,2)),flip(a)]. 2745 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(2743(a,1),293(a,1,1)),flip(b)]. 2746 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(2744(a,1),661(a,1,2,1)),flip(a)]. 2747 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(2744(a,1),1132(a,1,1,2,1))]. 2748 K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(2255(a,2),2232(a,1,1))]. 2749 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(65(a,1),2234(a,1,2)),flip(a)]. 2750 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),2749(a,2,1,1))]. 2751 T(1 / x,L(x,y,z) / x) = 1 / x. [para(2750(a,1),1768(a,1,2))]. 2752 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(2750(a,1),1830(a,1,1)),flip(a)]. 2753 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(2751(a,1),433(a,1,1,2)),flip(a)]. 2754 1 / L(((x / y) * ((1 / y) \ z)) \ u,u,u) = u \ (y \ ((y * x) * z)). [para(1034(a,2),2246(a,1,2))]. 2755 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(78,a,2321,a)]. 2756 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(14(a,1),2322(a,2,2,1,2))]. 2757 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(78,a,2323,a)]. 2758 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),2324(a,2,1,1,1))]. 2759 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(227,a,723,a(flip),b,2758,a)]. 2760 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(723(a,1),2759(a,1,1))]. 2761 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(85,a,2760,a),flip(a)]. 2762 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),2761(a,1,1)),flip(a)]. 2763 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(227,a,469,a(flip),b,2328,a)]. 2764 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(113(a,1),2763(a,1,1,1,1,2))]. 2765 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(177(a,1),2764(a,2,2))]. 2766 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(78,a,2333,a)]. 2767 ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = 1 / (x * (y \ (1 / x))). [hyper(227,a,1072,a(flip),b,2359,a)]. 2768 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(62(a,1),2377(a,1,1,1)),flip(a)]. 2769 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(634(a,1),2410(a,1,2))]. 2770 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1609(a,1),2769(a,1,1,1,2))]. 2771 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(161(a,1),2770(a,1,1))]. 2773 ((1 / x) * y) * (1 / ((y \ x) / z)) = (z \ (y \ x)) \ ((1 / x) * y). [para(313(a,1),2691(a,2,2))]. 2774 x / (y \ ((z \ 1) * (1 / (x \ 1)))) = (z * (y / (1 / x))) * (1 / x). [para(1070(a,1),2692(a,1,2,2))]. 2775 (1 * (x \ (1 / x))) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). [para(926(a,1),2698(a,1,1))]. 2776 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(715(a,1),2702(a,2,1))]. 2777 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(723(a,1),2727(a,2,1))]. 2778 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(1491(a,1),2730(a,2,1))]. 2779 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),2755(a,1,2,2,1,2)),flip(a)]. 2780 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(28(a,2),2779(a,1,1)),flip(a)]. 2781 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),2757(a,1,2,2,1,2)),flip(a)]. 2782 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),2766(a,1,2,2,1))]. 2783 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(445,a,2782,a)]. 2785 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(227,a,2386,a(flip),b,2783,a)]. 2786 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(62(a,1),2783(a,1,2,1)),flip(a)]. 2787 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(811(a,1),2783(a,1,2)),flip(a)]. 2788 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1342(a,1),2783(a,1,2)),flip(a)]. 2789 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(732(a,1),2788(a,1,2,1))]. 2790 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = ((z \ (x \ y)) \ ((1 / y) * x)) \ 1. [para(2773(a,1),123(a,1,1)),flip(a)]. 2791 ((1 / x) * y) * (1 / ((y \ x) / T(z,z \ (y \ x)))) = T(z \ (y \ x),z) \ ((1 / x) * y). [para(1941(a,1),2773(a,2,1))]. 2792 (x * (y / (1 / z))) * (1 / z) = z / (y \ ((x \ 1) * z)). [para(62(a,1),2774(a,1,2,2,2)),flip(a)]. 2793 (x \ (1 / x)) \ (T(y,x) \ 1) = ((x \ 1) \ 1) * ((y \ 1) * x). [para(11(a,1),2775(a,1,1))]. 2794 ((x \ 1) \ 1) * ((y \ 1) * x) = x * ((x \ 1) \ (T(y,x) \ 1)). [hyper(227,a,1511,a(flip),b,2793,a(flip))]. 2795 ((x \ 1) \ 1) * ((y \ 1) * x) = x * ((x \ y) \ 1). [para(1259(a,1),2794(a,2,2))]. 2796 ((x \ 1) \ 1) * ((y \ 1) * x) = (y / x) \ x. [hyper(227,a,663,a(flip),b,2795,a)]. 2797 (x \ 1) \ (y \ ((x \ 1) \ 1)) = (y / x) \ x. [hyper(227,a,2178,a,b,2796,a(flip)),flip(a)]. 2798 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(227,a,1810,a(flip),b,2776,a(flip)),flip(a)]. 2799 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(227,a,1633,a(flip),b,2776,a(flip))]. 2800 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(166,a,2776,a(flip),b,1810,a(flip)),flip(a)]. 2801 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),2776(a,1,2,1,2))]. 2802 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(2776(a,2),167(a,2)),flip(a)]. 2803 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),2800(a,1,2,1,2)),flip(a)]. 2804 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(72,a,2803,a,b,xx)]. 2805 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),2804(a,1,2,1,2,1)),flip(a)]. 2807 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(2589(a,1),2805(a,1,1)),flip(a)]. 2808 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(227,a,2595,a(flip),b,2807,a(flip))]. 2809 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(227,a,1810,a(flip),b,2801,a(flip)),flip(a)]. 2810 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(166,a,2801,a(flip),b,471,a(flip))]. 2812 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(73,a,2756,a(flip),b,2809,a(flip)),flip(a)]. 2813 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1915(a,1),2809(a,2,1,2))]. 2814 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(2652(a,1),2813(a,1,2))]. 2815 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,100,a(flip),b,2814,a)]. 2816 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(2255(a,2),2814(a,2,1))]. 2817 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(17,a,2408,a(flip),b,2816,a)]. 2818 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),2816(a,1,2,2)),flip(a)]. 2819 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),2816(a,1,2,2))]. 2820 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(2259(a,1),2816(a,1,2,1))]. 2821 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(227,a,2271,a,b,2818,a(flip)),flip(a)]. 2822 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(2815(a,1),19(a,1)),flip(a)]. 2823 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),2812(a,1,1)),flip(a)]. 2824 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(17,a,478,a,b,2821,a),flip(a)]. 2825 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(2254(a,1),2824(a,1,2)),flip(a)]. 2826 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(227,a,1808,a(flip),b,2777,a(flip)),flip(a)]. 2827 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(166,a,2777,a(flip),b,2323,a),flip(a)]. 2828 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(166,a,2777,a(flip),b,1808,a(flip)),flip(a)]. 2829 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(72,a,2777,a(flip),b,2323,a),flip(a)]. 2830 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),2777(a,1,2,1,2))]. 2831 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),2777(a,1,2,1)),flip(a)]. 2834 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(833(a,1),2777(a,1,2,1)),flip(a)]. 2835 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),2831(a,1,1,2,1))]. 2836 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(548,a,2835,a)]. 2837 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(78,a,2835,a)]. 2838 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(2836(a,1),292(a,1,2)),flip(b)]. 2839 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(2837(a,1),1851(a,1,1)),flip(a)]. 2840 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(2839(a,1),177(a,1,2)),flip(a)]. 2841 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(2839(a,1),719(a,1,2))]. 2843 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(2530(a,1),2841(a,1,1))]. 2844 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(227,a,2473,a,b,2843,a(flip)),flip(a)]. 2845 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(227,a,2678,a(flip),b,2843,a(flip)),flip(a)]. 2846 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(2845(a,1),282(a,1,2))]. 2847 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(2844(a,1),2532(a,1,2))]. 2848 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),2828(a,1,2,1,2)),flip(a)]. 2849 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(73,a,2848,a,b,723,a)]. 2850 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(72,a,2848,a,b,xx)]. 2851 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),2849(a,1,1,1,2,1)),flip(a)]. 2854 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(227,a,1808,a(flip),b,2830,a(flip)),flip(a)]. 2856 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(14(a,1),2778(a,1,2,1)),flip(a)]. 2858 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(227,a,24,a,b,489,a),flip(a)]. 2859 ((x * y) * z) * ((x * (y * z)) \ 1) = T(a(x,y,z),(y * z) \ (x \ 1)). [para(123(a,1),677(a,2,2))]. 2860 L(x,y,z) \ (1 / (z * y)) != u * (1 / (z * y)) | (z * (y * x)) \ (z * y) = u. [para(1104(a,1),20(a,1))]. 2861 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1853,a,1446,a(flip))]. 2862 (1 / x) \ ((L(x,x,x) \ y) * z) = (y * (z / (1 / x))) * (1 / x). [para(11(a,1),1509(a,1,2,1,1,1))]. 2863 L(((x \ 1) \ ((x \ (1 / y)) * z)) \ 1,x,x) = x * ((z / (x \ 1)) \ y). [para(318(a,1),1618(a,1,1,1,2,1))]. 2864 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(227,a,2163,a(flip),b,2168,a(flip)),flip(a)]. 2865 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(516(a,1),2437(a,2,2))]. 2866 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),2865(a,2,2,1))]. 2867 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2655(a,1),2866(a,1,1))]. 2868 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(207,a,2867,a)]. 2871 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(183(a,1),2624(a,1,1))]. 2872 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1516(a,1),2871(a,1,1))]. 2873 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(2744(a,1),2746(a,1,1)),flip(a)]. 2874 1 / (((((x / y) * ((1 / y) \ z)) \ u) * (1 / u)) * u) = u \ (y \ ((y * x) * z)). [para(1379(a,2),2754(a,1,2))]. 2875 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(2846,a,2847,a)]. 2876 ((x * y) * z) * ((y * z) \ (x \ 1)) = T(a(x,y,z),(y * z) \ (x \ 1)). [para(123(a,1),2859(a,1,2))]. 2877 (x / ((y / x) \ x)) \ ((y / x) \ x) = ((1 / x) * (y / x)) \ ((x \ y) \ 1). [para(313(a,1),1266(a,1,1)),flip(a)]. 2878 1 / ((x * y) * (y \ (y / x))) = x * (1 / (x * y)). [para(13(a,1),1455(a,1,1)),flip(a)]. 2879 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1774(a,1),1496(a,1,1))]. 2880 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(1486,a,2879,a)]. 2881 x \ ((x * (y * (z / (x \ 1)))) / x) = (x \ 1) \ ((x \ y) * z). [para(62(a,1),1505(a,1,2,1,1)),flip(a)]. 2882 x \ ((x * (y * ((1 / z) \ x))) / x) = (x \ 1) \ ((x \ y) * z). [para(317(a,1),2881(a,1,2,1,2,2))]. 2883 (x * ((1 / y) \ z)) * (z \ 1) = (z \ 1) \ ((z \ x) * y). [hyper(1295,a,2882,a)]. 2884 (x \ (((1 / 1) \ (x * y)) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ (y \ 1)). [para(340(a,1),1799(a,1,1,2,1))]. 2885 T(x / (y * (z \ (y / z))),y / z) = T(x * (z * (y \ 1)),x) / (y / z). [para(926(a,1),2029(a,1,1,2))]. 2886 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(2490(a,1),2200(a,1,2,1))]. 2887 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2886(a,1),14(a,1,2))]. 2888 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(227,a,2416,a(flip),b,2887,a(flip))]. 2889 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(2547(a,1),2888(a,1,1)),flip(a)]. 2890 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(2556,a,2889,a),flip(a)]. 2891 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(227,a,767,a(flip),b,2890,a(flip))]. 2892 K(x,T(y,y * x)) = K(x,y). [hyper(227,a,767,a(flip),b,2891,a(flip))]. 2893 K(x \ (x * y),z) = K(y,T(z,z * y)). [hyper(227,a,767,a,b,2892,a),flip(a)]. 2894 K(x,T(y,x * y)) = K(x,y). [para(2461(a,2),2892(a,1,2))]. 2895 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),2894(a,1,2,2))]. 2896 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(227,a,2778,a(flip),b,2329,a(flip))]. 2897 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(12(a,1),2329(a,1,2,1,2,2))]. 2898 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(2067,a,2897,a)]. 2899 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(2066,a,2897,a),flip(a)]. 2900 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(100(a,1),2897(a,1,1))]. 2901 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(227,a,2783,a,b,2898,a)]. 2902 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(73,a,2898,a(flip),b,665,a)]. 2903 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(2898(a,2),2436(a,1,1)),flip(a)]. 2904 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(2901(a,1),14(a,1,2))]. 2905 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(62(a,1),2904(a,1,2,2,1)),flip(a)]. 2906 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(108(a,2),2905(a,1,2))]. 2908 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(2632(a,1),2899(a,1,2))]. 2909 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),2906(a,2,2,2))]. 2910 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(2909(a,1),785(a,1,1,2)),flip(a)]. 2911 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(732(a,1),2902(a,1,1,2,1))]. 2912 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(227,a,2868,a(flip),b,2908,a)]. 2913 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2655(a,2),2912(a,1,2))]. 2914 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),2910(a,2,1))]. 2916 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(26(a,2),2335(a,1,2,1)),flip(a)]. 2917 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(2035(a,1),2916(a,1,2))]. 2918 (x * y) * T(K(y,x),x) = y * x. [para(953(a,1),2917(a,1,2)),flip(a)]. 2919 T(K(x,y),y) = K(x,y). [hyper(238,a,2918,a),flip(a)]. 2920 T(x,K(y,x)) = x. [hyper(35,a,2919,a)]. 2921 (1 / x) * K(y,x) = K(y,x) / x. [hyper(73,a,2919,a(flip),b,625,a(flip)),flip(a)]. 2922 K(x,y) * y = y * K(x,y). [para(2919(a,1),113(a,1,2)),flip(a)]. 2923 (x * K(y,x)) / x = K(y,x). [para(2919(a,1),161(a,1,1,2))]. 2924 (x * K(y,x)) / x != z | K(y,x) = z. [para(2919(a,1),297(a,1,1,2)),flip(b)]. 2925 x * (K(y,x) \ 1) = K(y,x) \ x. [para(2919(a,1),659(a,1,2,1))]. 2926 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2919(a,1),176(a,1,2,1)),flip(a)]. 2927 T(T(x,y),K(z,x)) = T(x,y). [para(2920(a,1),38(a,1,1)),flip(a)]. 2928 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2920(a,1),175(a,1,2,1)),flip(a)]. 2929 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(2920(a,1),251(a,1,1)),flip(a)]. 2930 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2920(a,1),176(a,1,2,1)),flip(a)]. 2931 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2920(a,1),177(a,1,2,1)),flip(a)]. 2932 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2920(a,1),394(a,1,2,1))]. 2933 T(x,y \ T(y,x)) = x. [para(2195(a,1),2920(a,1,2))]. 2934 T(x,x \ ((y * x) / y)) = x. [para(2495(a,1),2920(a,1,2))]. 2935 T(x \ T(x,y),y) = x \ T(x,y). [hyper(35,a,2933,a)]. 2936 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2922(a,1),109(a,1,2))]. 2937 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2923(a,1),517(a,1,1,1))]. 2938 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,2927,a)]. 2939 ((x * y) / x) / y = y \ ((x * y) / x). [para(2934(a,1),190(a,1,2))]. 2940 T(x,y) * K(z,x) != u * T(x,y) | K(z,x) = u. [para(2938(a,1),169(a,1,2)),flip(b)]. 2941 T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. [para(2938(a,1),210(a,1,2))]. 2942 T(K(x,T(y,z)),y) = K(x,T(y,z)). [para(2496(a,1),2938(a,1,2))]. 2943 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(72,a,2921,a(flip),b,2219,a)]. 2944 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(72,a,2925,a(flip),b,2220,a)]. 2945 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(2925(a,1),19(a,1))]. 2946 x * (y \ T(y,x)) != z | (y \ T(y,x)) * x = z. [para(2935(a,1),210(a,1,2))]. 2947 T(x,K(y,T(x,z))) = x. [hyper(35,a,2942,a)]. 2948 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(949,a,2943,a)]. 2949 (1 / x) * (x * K(y,x)) = K(y,x). [para(2943(a,1),948(a,1,1))]. 2950 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(2944(a,1),1762(a,1,2,1))]. 2951 (1 / x) \ K(y,x) = x * K(y,x). [para(2948(a,1),65(a,1,1))]. 2954 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(72,a,2949,a(flip),b,133,a(flip)),flip(a)]. 2955 x * (((y * x) / y) / x) = (y * x) / y. [para(2939(a,2),14(a,1,2))]. 2956 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(1488(a,1),2939(a,1,1)),flip(a)]. 2958 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(686(a,1),2955(a,1,2))]. 2960 T(x,L(K(y,x),z,u)) = x. [hyper(167,a,2926,a)]. 2961 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(167,a,2930,a)]. 2962 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(227,a,245,a(flip),b,2950,a(flip))]. 2964 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(227,a,418,a(flip),b,2962,a(flip))]. 2965 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2937(a,2),1789(a,1,1,2))]. 2966 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1712(a,1),2423(a,2,2,2))]. 2967 (x \ ((x * y) / x)) * ((x * y) / x) = y * (y * (x \ 1)). [para(160(a,1),2505(a,1,1)),flip(a)]. 2968 (x * y) * (x \ ((x * y) / x)) = x * (y * (y * (x \ 1))). [para(2967(a,1),952(a,1,2)),flip(a)]. 2969 (x * y) * (y * (x \ 1)) = x * (y * (y * (x \ 1))). [para(1258(a,1),2968(a,1,2))]. 2970 T(x,y \ 1) * T(x,y \ 1) = y * (x * (x * (y \ 1))). [hyper(227,a,2689,a,b,2969,a(flip)),flip(a)]. 2971 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(2285(a,1),2569(a,1,2))]. 2972 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(2285(a,1),2971(a,2,1,2))]. 2973 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1444(a,1),2972(a,2,1))]. 2975 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(2286(a,1),2602(a,2,1))]. 2976 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(78,a,2975,a)]. 2978 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(14(a,1),2648(a,2,1))]. 2979 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(227,a,1085,a(flip),b,2978,a)]. 2980 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2979(a,1),2216(a,1,2))]. 2981 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(2980(a,1),113(a,1,2))]. 2982 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(550,a,2981,a)]. 2983 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(312,a,2981,a),flip(a)]. 2984 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(227,a,698,a(flip),b,2982,a(flip)),flip(a)]. 2985 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(1679,a,2984,a)]. 2986 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [hyper(571,a,2984,a)]. 2987 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(42(a,2),2984(a,1,1,2))]. 2988 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2984(a,1,1,2)),flip(a)]. 2989 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(2909(a,1),2984(a,1,1,2)),flip(a)]. 2991 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(166,a,664,a,b,2986,a)]. 2992 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(227,a,424,a,b,2991,a)]. 2993 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(644(a,1),2991(a,1,2))]. 2995 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2993(a,1,2))]. 2996 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(227,a,1788,a,b,2995,a)]. 2997 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(114(a,2),2996(a,2,2,2)),flip(a)]. 2998 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(2997(a,1),65(a,1,1))]. 2999 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2988(a,1,1)),flip(a)]. 3000 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2999(a,1,1,2)),flip(a)]. 3001 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),3000(a,1,1)),flip(a)]. 3002 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3001(a,1),62(a,1,2))]. 3004 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2989(a,2,1))]. 3006 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3004(a,1),2914(a,1,2))]. 3007 T(x,K(x,y)) = x. [hyper(18,a,1244,a,b,3006,a),flip(a)]. 3009 T(K(x,y),x) = K(x,y). [hyper(35,a,3007,a)]. 3010 K(x,y) * x = x * K(x,y). [para(3007(a,1),113(a,1,2))]. 3011 K(x,y) * x != z | x * K(x,y) = z. [para(3007(a,1),210(a,1,2))]. 3012 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3007(a,1),175(a,1,2,1)),flip(a)]. 3013 T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). [para(3007(a,1),116(a,2,1,1))]. 3014 K(x,y) \ (x \ K(x,y)) = x \ 1. [para(3007(a,1),655(a,1,1)),flip(a)]. 3015 K(x,y) * (x \ 1) = x \ K(x,y). [para(3007(a,1),659(a,1,2,1))]. 3016 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3007(a,1),176(a,1,2,1)),flip(a)]. 3017 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3007(a,1),177(a,1,2,1)),flip(a)]. 3018 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3007(a,1),433(a,1,1,2)),flip(a)]. 3019 (1 / x) * K(x,y) = K(x,y) / x. [para(3007(a,1),1202(a,1,2)),flip(a)]. 3020 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3007(a,1),395(a,1,2,1))]. 3021 T(x,y \ ((x * y) / x)) = x. [para(2785(a,1),3007(a,1,2))]. 3022 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3009(a,1),177(a,1,2,1)),flip(a)]. 3023 T(x,T(y,x) \ y) = x. [para(161(a,1),3021(a,1,2,2))]. 3024 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3023(a,1),113(a,1,2))]. 3026 K(x,y) * (x \ 1) != z | x \ K(x,y) = z. [para(3014(a,1),205(a,1,2)),flip(b)]. 3027 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1862,a,3015,a)]. 3028 (K(x,y) / x) * L(z,K(x,y),1 / x) = (1 / x) * (K(x,y) * z). [para(3019(a,1),100(a,1,1))]. 3030 T(K(x,y),T(T(x,z),u)) = K(x,y). [hyper(35,a,3013,a)]. 3031 T(K(x,y),(z * x) / z) = K(x,y). [hyper(35,a,3018,a)]. 3032 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),3031(a,1,2,1))]. 3033 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(227,a,2744,a,b,3024,a(flip)),flip(a)]. 3034 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3024(a,1),2873(a,1,2,1))]. 3035 T(x / y,K(y \ x,z)) = x / y. [hyper(35,a,3032,a)]. 3038 T(K(x,y),L(x,z,u)) = K(x,y). [hyper(167,a,3016,a)]. 3039 L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. [para(3038(a,1),396(a,1,2,1))]. 3040 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(167,a,3017,a)]. 3041 K(x,R(K(x,y),z,u)) = 1. [hyper(71,a,3022,a,b,92,a),flip(a)]. 3042 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3024(a,1),3034(a,2,1))]. 3043 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(42(a,2),2987(a,2,1))]. 3044 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(113(a,1),2657(a,1,2)),flip(a)]. 3045 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(2588,a,3044,a)]. 3046 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(66(a,1),3045(a,1,1))]. 3047 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),3046(a,2,2,1,2)),flip(a)]. 3048 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),3047(a,1,2,1)),flip(a)]. 3049 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(93(a,1),3047(a,1,2,1)),flip(a)]. 3050 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(3047(a,1),441(a,1,2))]. 3051 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(3047(a,1),2471(a,1,2))]. 3052 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(1973,a,3051,a)]. 3053 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(3048(a,2),19(a,1))]. 3054 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(78,a,2668,a)]. 3055 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),2668(a,2,2,1,2,2))]. 3056 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(2783(a,2),2668(a,1,2))]. 3057 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(12(a,1),3056(a,2,2,1,2,2))]. 3058 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),3057(a,1,2,2,1,2)),flip(a)]. 3059 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(166,a,2778,a(flip),b,3058,a(flip))]. 3060 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(227,a,2783,a(flip),b,3059,a),flip(a)]. 3061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(2786(a,1),3059(a,1,1)),flip(a)]. 3062 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(2898(a,2),3059(a,1,1))]. 3063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(2363(a,1),3061(a,1,2,1,2)),flip(a)]. 3064 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(62(a,1),3063(a,2,2,1))]. 3065 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),3064(a,1,1,2))]. 3066 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),3065(a,1,2,1))]. 3067 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),3066(a,2,2))]. 3069 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,3067,a)]. 3070 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(3067(a,1),113(a,1,2))]. 3072 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(3067(a,1),210(a,1,2))]. 3073 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(3067(a,1),175(a,1,2,1)),flip(a)]. 3074 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(3067(a,1),176(a,1,2,1)),flip(a)]. 3075 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(3067(a,1),177(a,1,2,1)),flip(a)]. 3076 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(3067(a,1),395(a,1,2,1))]. 3077 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(3069(a,1),210(a,1,2))]. 3078 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(3069(a,1),177(a,1,2,1)),flip(a)]. 3079 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(3069(a,1),396(a,1,2,1))]. 3080 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),3060(a,2,1,2,1))]. 3081 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(664(a,1),3080(a,1,2,1))]. 3082 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(2255(a,2),3081(a,2,1))]. 3083 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(3082(a,1),2913(a,1,2))]. 3084 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(17,a,2992,a(flip),b,3083,a)]. 3085 T(x,K(y,y \ 1)) = x. [hyper(35,a,3084,a)]. 3086 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(73,a,3084,a(flip),b,625,a(flip)),flip(a)]. 3087 K(x,x \ 1) * y = y * K(x,x \ 1). [para(3084(a,1),113(a,1,2)),flip(a)]. 3088 K(x,x \ 1) * y != z * K(x,x \ 1) | y = z. [para(3084(a,1),168(a,1,2)),flip(a)]. 3090 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(3084(a,1),210(a,1,2))]. 3091 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(3084(a,1),174(a,1,1,2))]. 3093 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(3085(a,1),210(a,1,2))]. 3094 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3085(a,1),654(a,1))]. 3096 K(x,x \ 1) * (y \ 1) != z | y \ K(x,x \ 1) = z. [para(3085(a,1),1249(a,1))]. 3098 T(x,K(y \ 1,y)) = x. [para(2254(a,1),3085(a,1,2))]. 3099 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(3053,a,3098,a),flip(a)]. 3100 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(654,a,3098,a)]. 3101 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,3098,a)]. 3102 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(3098(a,1),169(a,1,2))]. 3103 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(3098(a,1),210(a,1,2))]. 3105 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(227,a,2626,a,b,3101,a(flip)),flip(a)]. 3106 T((x \ 1) * x,y) = K(x \ 1,x). [para(182(a,1),3101(a,1,1))]. 3107 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(3101(a,1),168(a,1,2)),flip(a)]. 3108 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(3101(a,1),210(a,1,2))]. 3109 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(227,a,2817,a(flip),b,3087,a(flip))]. 3110 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(72,a,3087,a(flip),b,471,a)]. 3111 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(123(a,1),3087(a,2,2,2))]. 3112 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(3087(a,2),491(a,1,2))]. 3113 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,3099,a)]. 3114 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(3099(a,1),100(a,1,1))]. 3115 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(3099(a,2),491(a,1,2))]. 3116 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(3099(a,1),453(a,1,1))]. 3117 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(3099(a,2),720(a,1,1))]. 3118 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(3099(a,1),872(a,1,2))]. 3120 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(3105(a,1),2196(a,1,1))]. 3121 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [hyper(227,a,3087,a,b,3086,a(flip)),flip(a)]. 3123 (1 / x) \ (y * K(z \ 1,z)) = x / (y \ K(z,z \ 1)). [para(3116(a,1),317(a,1,2)),flip(a)]. 3124 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(227,a,1093,a(flip),b,3120,a)]. 3125 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3124(a,1),16(a,1,1))]. 3126 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(331,a,3125,a)]. 3128 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [para(3126(a,1),1442(a,1,1))]. 3129 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3126(a,1),1610(a,1,2))]. 3131 x * (T(x,y) / x) = T(x,y). [hyper(18,a,2973,a,b,3129,a),flip(a)]. 3133 T(x,y) / x = x \ T(x,y). [hyper(78,a,3131,a),flip(a)]. 3134 K(x,T(x,y) / x) = 1. [hyper(71,a,3131,a(flip),b,237,a),flip(a)]. 3135 (x \ T(x,y)) * x = T(x,y). [para(3131(a,1),66(a,1,1,2))]. 3137 T(1 / x,T(x,y)) = x \ 1. [hyper(72,a,3134,a(flip),b,2087,a),flip(a)]. 3138 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(2745,a,3133,a),flip(a)]. 3139 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1297,a,3133,a)]. 3140 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(683,a,3133,a),flip(a)]. 3141 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(227,a,1793,a,b,3133,a(flip)),flip(a)]. 3142 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3133(a,1),207(a,1,1)),flip(b)]. 3144 (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(3133(a,1),683(a,1))]. 3145 K(x,x \ T(x,y)) = 1. [para(3133(a,1),3134(a,1,2))]. 3146 T(x,x \ T(x,y)) = x. [hyper(37,a,3145,a)]. 3147 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(2195(a,2),3146(a,1,2))]. 3148 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(227,a,2903,a,b,3135,a(flip)),flip(a)]. 3149 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3135(a,1),28(a,2,1)),flip(a)]. 3150 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),3135(a,1,1,2))]. 3151 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(227,a,65,a(flip),b,3137,a)]. 3152 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3137(a,1),178(a,1,1)),flip(a)]. 3153 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3137(a,1),2197(a,1,1)),flip(a)]. 3154 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3151(a,1),1531(a,1,1)),flip(a)]. 3155 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3152(a,1),2625(a,1,1,2)),flip(a)]. 3156 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3154(a,1),1943(a,1,1))]. 3157 T(x,x / (y * x)) = T(x,x / (x * y)). [para(157(a,1),3148(a,1,2))]. 3159 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(227,a,2191,a,b,3140,a),flip(a)]. 3160 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3140(a,1),855(a,2,1)),flip(a)]. 3161 L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. [para(3140(a,1),857(a,1,1))]. 3165 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3152(a,1),3153(a,1,2)),flip(a)]. 3166 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(227,a,271,a(flip),b,3165,a)]. 3171 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3138(a,1),785(a,1,1)),flip(a)]. 3172 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3138(a,1),1094(a,1,2)),flip(a)]. 3174 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(227,a,3002,a(flip),b,3172,a)]. 3175 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(161(a,1),3174(a,2,1))]. 3176 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3033(a,1),3175(a,1,1))]. 3178 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3176(a,1),62(a,1,2))]. 3179 (x * (T(y,x) \ y)) * (y \ T(y,x)) != z | z = x. [para(3176(a,1),205(a,1,2))]. 3180 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3176(a,1),3042(a,1,2)),flip(a)]. 3181 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(2206(a,1),3178(a,1,2,2))]. 3182 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3149(a,1),1979(a,1,2)),flip(a)]. 3183 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3182(a,2),19(a,1))]. 3184 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3174(a,1),3171(a,1,2)),flip(a)]. 3185 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(161(a,1),3184(a,1,1,2)),flip(a)]. 3186 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(161(a,1),3185(a,1,2,1)),flip(a)]. 3187 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3186(a,1),14(a,1,2))]. 3188 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(123(a,1),3111(a,1,1,2))]. 3190 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1169(a,1),3155(a,1,1))]. 3191 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),3190(a,2,1))]. 3192 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(227,a,3106,a(flip),b,3191,a)]. 3194 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3192(a,1),2205(a,1,1)),flip(a)]. 3195 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(227,a,3124,a(flip),b,3194,a)]. 3197 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3195(a,1),3192(a,1,1))]. 3200 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(14(a,1),2729(a,1,2,1)),flip(a)]. 3201 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(1633(a,1),2799(a,1,1))]. 3202 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(401(a,1),3201(a,1,1,2,2)),flip(a)]. 3203 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(401(a,1),3202(a,1,2,2)),flip(a)]. 3204 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(2255(a,2),3203(a,1,1,2))]. 3205 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(2255(a,2),3204(a,2,2))]. 3206 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(78,a,3205,a)]. 3207 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(3206(a,1),1851(a,1,1)),flip(a)]. 3208 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(2259(a,1),2820(a,2,1))]. 3209 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(78,a,3208,a)]. 3210 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(227,a,1447,a,b,3209,a(flip)),flip(a)]. 3211 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),2827(a,1,1))]. 3212 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),3211(a,1,2,1,1))]. 3213 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(13(a,1),3212(a,2,1,2,1))]. 3214 (x / ((y / x) \ x)) \ ((y / x) \ x) = ((x \ y) / x) \ ((x \ y) \ 1). [para(637(a,1),2877(a,2,1))]. 3215 (x / ((y / x) \ x)) \ ((y / x) \ x) = x / ((x \ y) * (x \ y)). [hyper(227,a,2109,a(flip),b,3214,a)]. 3216 x / ((x \ y) * (x \ y)) = (y / x) \ ((y / x) \ x). [para(62(a,1),3215(a,1,1)),flip(a)]. 3218 (x \ 1) * ((y * (x \ 1)) \ (z \ 1)) = (x \ ((1 \ (x * z)) * y)) \ 1. [para(59(a,1),2884(a,1,1,2,1,1)),flip(a)]. 3219 (x \ 1) * ((y * (x \ 1)) \ (z \ 1)) = (x \ ((x * z) * y)) \ 1. [para(50(a,1),3218(a,2,1,2,1))]. 3221 (x \ ((x * (1 / y)) * z)) \ 1 = (x \ 1) * ((z * (x \ 1)) \ y). [para(65(a,1),3219(a,1,2,2)),flip(a)]. 3222 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(227,a,200,a(flip),b,2966,a)]. 3224 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(3222(a,1),2127(a,1,1)),flip(a)]. 3225 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(227,a,1715,a(flip),b,3224,a(flip)),flip(a)]. 3226 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(410,a,3225,a)]. 3227 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),3225(a,1,1,2))]. 3228 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),3226(a,1,3))]. 3229 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),3227(a,2,2))]. 3230 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(410,a,3229,a)]. 3231 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(3229(a,1),14(a,1,2))]. 3232 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(3229(a,1),62(a,1,2))]. 3233 L(x \ 1,x,y / (x * y)) = 1 / x. [para(968(a,1),3230(a,1,3))]. 3234 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(3230(a,1),382(a,1,1)),flip(a)]. 3235 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(157(a,2),3233(a,1,3))]. 3236 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(3235(a,1),383(a,1,2))]. 3237 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(156(a,2),3231(a,1,1,1)),flip(a)]. 3238 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(3232(a,1),2201(a,2,1,1,2)),flip(a)]. 3239 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(602,a,3237,a)]. 3240 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1343,a,3236,a)]. 3241 T(1 / (1 / x),y / (x * y)) = x. [para(157(a,1),3240(a,1,2))]. 3242 T(x,y / (x * y)) = T(x,x \ 1). [para(3241(a,1),1531(a,1,1)),flip(a)]. 3243 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(227,a,114,a(flip),b,3242,a)]. 3244 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(72,a,3242,a,b,449,a)]. 3245 T(x,(x \ y) / y) = T(x,x \ 1). [para(14(a,1),3242(a,1,2,2))]. 3246 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(3242(a,1),2650(a,2,1))]. 3247 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),3243(a,1,2,2))]. 3248 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(3243(a,2),452(a,1,2))]. 3249 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(945(a,1),3243(a,1,2))]. 3250 T(x,(y * x) \ y) = T(x,x \ 1). [para(967(a,1),3245(a,1,2))]. 3251 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(227,a,114,a(flip),b,3250,a)]. 3252 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(92(a,1),3250(a,1,2,1))]. 3253 T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),3247(a,1,2))]. 3254 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(65(a,1),3249(a,1,2))]. 3255 T(x \ y,y \ x) \ 1 = (1 / y) * x. [para(3249(a,2),1060(a,1,1))]. 3256 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(3249(a,1),2417(a,1,2)),flip(a)]. 3257 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(3249(a,2),2630(a,2,1,2,2)),flip(a)]. 3258 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(227,a,737,a(flip),b,3253,a(flip)),flip(a)]. 3259 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(109(a,1),3258(a,2,1,1,2))]. 3260 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3258(a,2),1543(a,1,2))]. 3261 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(227,a,3157,a(flip),b,3260,a)]. 3262 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(157(a,2),3260(a,2,2)),flip(a)]. 3263 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(3254(a,1),2638(a,1,1,2))]. 3264 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(227,a,2436,a,b,3262,a(flip)),flip(a)]. 3265 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),3252(a,1,2)),flip(a)]. 3266 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(416,a,3265,a),flip(a)]. 3267 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(227,a,3069,a(flip),b,3266,a(flip))]. 3268 1 / (1 / K(x,y)) = K(x,y). [hyper(1107,a,3267,a)]. 3271 K(x,y) \ 1 != z | 1 / K(x,y) = z. [para(3268(a,1),281(a,1,1)),flip(b)]. 3273 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(854,a,3228,a)]. 3275 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(227,a,2629,a(flip),b,3257,a(flip))]. 3276 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),3275(a,1,1,1)),flip(a)]. 3277 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),3263(a,2,2,2,1,2))]. 3279 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(271(a,1),3277(a,2,2))]. 3281 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),3276(a,1,1,1)),flip(a)]. 3282 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),3281(a,2,2))]. 3284 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),3054(a,1,2,2,1,2,2)),flip(a)]. 3285 ((x \ (y / z)) \ 1) / ((x \ y) \ 1) = R(z,y \ 1,(x \ 1) \ 1). [para(752(a,1),750(a,1,1))]. 3286 R(x,y \ 1,(z \ 1) \ 1) != u | (z \ (y / x)) \ (z \ y) = u. [para(3285(a,1),300(a,1))]. 3287 (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,y \ T(y,z)). [para(1095(a,1),1098(a,1,3)),flip(a)]. 3288 R(x,T(y,x) \ y,y \ T(y,x)) = x. [hyper(3179,a,3287,a)]. 3289 R((x * y) / x,T(z,y) \ z,z \ T(z,y)) = (x * y) / x. [para(3288(a,1),1482(a,2,1,2))]. 3290 (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)) = (x * y) / x. [hyper(227,a,3287,a,b,3289,a(flip)),flip(a)]. 3292 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(65(a,1),2370(a,2,1,2))]. 3293 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2732(a,1),2665(a,1,1))]. 3294 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(227,a,2744,a(flip),b,2747,a)]. 3295 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3024(a,1),3294(a,1,1,2,1))]. 3296 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(227,a,3024,a(flip),b,3295,a)]. 3297 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3176(a,1),3296(a,1,1,2))]. 3298 (x * (y \ T(y,x))) \ (x * x) != x * z | T(y,x) \ y = z. [para(3297(a,2),19(a,1))]. 3299 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3259(a,1),510(a,1,1))]. 3300 (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = ((y / x) \ z) * 1. [para(263(a,1),323(a,2,1,1))]. 3301 (x * (y \ 1)) * ((z * (y / x)) * (x * (y \ 1))) = (y / x) \ z. [hyper(227,a,12,a(flip),b,3300,a)]. 3302 (T(x / y,x) * ((1 / y) * x)) * z = (((1 / y) * x) \ (x \ y)) \ z. [para(250(a,1),993(a,1,1,2)),flip(a)]. 3303 (T(x / y,x) * ((1 / y) * x)) * z = (((x / y) * x) \ y) \ z. [para(2249(a,1),3302(a,2,1))]. 3304 T(x / y,x) * ((1 / y) * x) = (1 / y) * ((x / y) * x). [hyper(18,a,706,a,b,3303,a)]. 3305 (T(x / y,x) * ((1 / y) * x)) * z = ((x \ y) \ 1) * ((x \ y) \ z). [para(3304(a,2),2570(a,1,1))]. 3306 ((x \ y) \ 1) * ((x \ y) \ z) != u * z | T(x / y,x) * ((1 / y) * x) = u. [para(3305(a,1),20(a,1))]. 3307 T(x / y,x) \ ((((1 / y) * x) * ((1 / y) * x)) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). [hyper(227,a,1353,a(flip),b,1039,a)]. 3308 T(x / y,x) \ (((x \ y) \ ((1 / y) * x)) * z) = (1 / ((1 / y) * x)) \ z. [para(706(a,1),1039(a,1,2,1))]. 3309 T(x / y,x) \ (((x \ y) \ ((1 / y) * x)) * z) = (((x \ y) \ 1) \ 1) \ z. [para(1064(a,1),3308(a,2,1))]. 3310 T(x / y,x) \ (((x \ y) \ 1) * ((x \ y) \ z)) = (((x \ y) \ 1) \ 1) \ z. [para(2385(a,1),3309(a,1,2))]. 3311 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(1159,a,742,a)]. 3312 ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = T(y,x \ 1) * T(y,x \ 1). [para(1535(a,1),1538(a,2,2))]. 3313 (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((x / y) \ ((x / y) / z)) \ 1. [para(12(a,1),1617(a,2,1,2))]. 3314 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(113(a,1),1639(a,1,2,1,1)),flip(a)]. 3315 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(166,a,2830,a(flip),b,3314,a),flip(a)]. 3316 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1907(a,1),3315(a,1,2,1,1)),flip(a)]. 3317 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1790(a,1,2,1)),flip(a)]. 3318 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(115(a,1),3317(a,1,1)),flip(a)]. 3319 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(115(a,1),3318(a,1,2)),flip(a)]. 3320 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),3319(a,1,1)),flip(a)]. 3321 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),3320(a,1,2)),flip(a)]. 3322 ((x \ 1) \ 1) * ((x \ (y / z)) \ 1) = ((x \ 1) \ z) * ((x \ y) \ 1). [para(257(a,1),1874(a,1,2)),flip(a)]. 3323 (x \ 1) \ ((1 / (y * (z * (u \ 1)))) \ x) = ((x \ 1) \ y) * ((x \ (u / z)) \ 1). [para(317(a,1),1878(a,1,2))]. 3324 (1 / (((1 / x) * y) * z)) \ ((y \ x) \ 1) = ((1 / x) * y) * (z * ((1 / x) * y)). [hyper(334,a,2011,a)]. 3325 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(227,a,3147,a(flip),b,2290,a(flip))]. 3327 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3325(a,1),14(a,1,2))]. 3328 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(732(a,1),3325(a,1,1,1,1))]. 3329 ((x * (y / (z \ 1))) * (z \ 1)) / (z \ 1) = (z * ((z \ x) * y)) * z. [para(62(a,1),2381(a,2,1,2,1,1))]. 3330 (x * ((x \ y) * z)) * x = y * (z / (x \ 1)). [hyper(293,a,3329,a)]. 3332 (x * y) * (z / (x \ 1)) = (x * (y * z)) * x. [para(13(a,1),3330(a,1,1,2,1)),flip(a)]. 3333 (x * (y * (z \ 1))) * x = (x * y) * (z \ x). [para(253(a,1),3332(a,1,2)),flip(a)]. 3334 (x * y) * ((1 / z) \ x) = (x * (y * z)) * x. [para(317(a,1),3332(a,1,2))]. 3335 (x * (y * (x \ z))) * x = (x * y) * T(z,x). [para(1229(a,2),3332(a,1,2)),flip(a)]. 3336 (x * y) * (z \ x) = x * ((z / y) \ x). [hyper(227,a,1268,a(flip),b,3333,a(flip))]. 3338 (x * y) * ((1 / z) \ x) != u * x | x * (y * z) = u. [para(3334(a,2),20(a,1))]. 3339 (x * x) * T(y,x) = (x * y) * x. [para(14(a,1),3335(a,1,1,2)),flip(a)]. 3340 T((1 / x) / x,1 / x) * T(y,1 / x) = ((1 / x) * y) * (1 / x). [hyper(227,a,643,a,b,3339,a(flip)),flip(a)]. 3341 (x * (y / x)) * x = (x * x) * (x \ y). [para(115(a,1),3339(a,1,2)),flip(a)]. 3342 (x * (y * (1 / x))) * x = (x * x) * ((x \ 1) * y). [para(1395(a,1),3339(a,1,2)),flip(a)]. 3343 (x * x) * (x \ y) = (x \ 1) \ y. [hyper(1990,a,3341,a),flip(a)]. 3344 (x * ((1 / x) * y)) * x = (x * x) * (x \ T(y,x)). [para(631(a,1),3341(a,1,1,2))]. 3345 (x * x) * (x \ y) != z | (x \ 1) \ y = z. [para(3341(a,1),1990(a,1))]. 3346 (x * x) * (x \ T(y,x)) = y / (1 / x). [hyper(227,a,1423,a(flip),b,3343,a)]. 3347 (((x \ y) \ 1) * y) / ((y \ x) \ y) = (y \ x) * (y \ x). [hyper(73,a,1406,a(flip),b,3343,a)]. 3348 (x * x) \ ((y * (x \ y)) \ (y * (x \ 1))) = x \ ((x \ 1) / y). [hyper(72,a,1269,a,b,3343,a)]. 3349 (x * x) \ T(x * y,x \ 1) = x \ T(y,x \ 1). [hyper(72,a,685,a(flip),b,3343,a)]. 3350 (x * x) \ ((y \ 1) \ 1) = x \ ((y \ x) \ 1). [hyper(72,a,260,a(flip),b,3343,a)]. 3351 x \ ((x \ 1) * y) = (x * x) \ y. [hyper(72,a,13,a(flip),b,3343,a),flip(a)]. 3352 (1 / x) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(72,a,3343,a(flip),b,1017,a),flip(a)]. 3353 ((x / y) * (x / y)) * y = ((x / y) \ 1) \ x. [para(65(a,1),3343(a,1,2))]. 3354 x * ((x * x) \ y) = (x \ 1) * y. [para(3351(a,1),14(a,1,2))]. 3355 (x * y) * (((x * y) * (x * y)) \ z) = (y \ (x \ 1)) * z. [para(123(a,1),3354(a,2,1))]. 3356 x * (1 / ((y \ x) * x)) = (x \ 1) * y. [para(1006(a,2),3354(a,1,2))]. 3357 x * ((1 / x) * (x \ y)) = (x \ 1) * y. [para(1007(a,2),3354(a,1,2))]. 3358 (x \ 1) * (x / y) = x * (1 / (y * x)). [para(1009(a,1),3354(a,1,2)),flip(a)]. 3359 (x \ 1) * (x * y) = x * ((1 / x) * y). [para(1014(a,1),3354(a,1,2)),flip(a)]. 3360 (x \ (y \ 1)) * (((y * x) \ (1 / (y * x))) \ z) = ((x \ (y \ 1)) \ 1) * z. [para(2103(a,1),3354(a,1,2,1))]. 3361 x \ ((x \ 1) \ y) = x * ((1 / x) * y). [hyper(227,a,1374,a(flip),b,3352,a(flip))]. 3362 (x \ (y \ 1)) * ((y * x) / z) = (y * x) * (1 / (z * (y * x))). [para(123(a,1),3358(a,1,1))]. 3363 (x * (y \ 1)) * ((y / x) / z) = (y / x) * (1 / (z * (y / x))). [para(125(a,1),3358(a,1,1))]. 3364 (x \ ((x / y) * z)) * (1 / (u * (x \ ((x / y) * z)))) = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [para(1592(a,1),3358(a,1,1)),flip(a)]. 3365 (1 / x) * ((1 / (1 / x)) * y) = x * ((1 / x) * y). [hyper(615,a,3359,a),flip(a)]. 3366 (x \ 1) * (x * y) = (y * x) * (1 / x). [hyper(227,a,2043,a,b,3359,a)]. 3367 (x \ (y \ 1)) * ((y * x) * z) = (y * x) * ((1 / (y * x)) * z). [para(123(a,1),3359(a,1,1))]. 3368 (x * (y \ 1)) * ((y / x) * z) = (y / x) * ((1 / (y / x)) * z). [para(125(a,1),3359(a,1,1))]. 3369 T(x / y,x) * ((1 / T(x / y,x)) * z) = (T(x / y,x) \ 1) * (((1 / y) * x) * z). [para(643(a,1),3359(a,1,2)),flip(a)]. 3370 ((x * y) / ((x \ 1) * z)) * (x * ((1 / x) * y)) = ((x * y) / z) * (x * y). [para(3359(a,1),1176(a,1,2))]. 3371 (x * ((1 / x) * y)) \ (x \ 1) = (x * (x * y)) \ x. [para(3359(a,1),1453(a,1,1))]. 3372 x \ ((x \ 1) \ y) = (y * x) * (1 / x). [hyper(227,a,2043,a,b,3361,a)]. 3373 x * (x * ((1 / x) * y)) = (x \ 1) \ y. [para(3361(a,1),14(a,1,2))]. 3374 (x * y) \ ((y \ (x \ 1)) \ z) = (x * y) * ((1 / (x * y)) * z). [para(123(a,1),3361(a,1,2,1))]. 3375 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [hyper(227,a,1395,a,b,3366,a(flip)),flip(a)]. 3376 x \ ((x \ 1) \ (y / x)) = y * (1 / x). [hyper(227,a,87,a(flip),b,3372,a)]. 3377 (x \ 1) \ ((1 / x) \ y) = x * (x * y). [para(14(a,1),3373(a,1,2,2)),flip(a)]. 3378 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(2921(a,1),3373(a,1,2,2))]. 3379 (x \ 1) \ (y / x) = x * (y * (1 / x)). [para(3376(a,1),14(a,1,2)),flip(a)]. 3380 ((x \ 1) \ 1) \ (x \ y) = (x \ 1) * ((x \ 1) * y). [para(62(a,1),3377(a,1,2,1))]. 3381 ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). [hyper(227,a,2013,a,b,3379,a(flip)),flip(a)]. 3382 (x * (y * (1 / x))) / x = x * ((y / x) / x). [hyper(73,a,3379,a(flip),b,1986,a)]. 3383 (x * (y \ 1)) \ (z / (y / x)) = (y / x) * (z * (1 / (y / x))). [para(125(a,1),3379(a,1,1))]. 3384 1 / (x * (y * (1 / x))) != z | (1 / (y / x)) * (x \ 1) = z. [para(3379(a,1),316(a,1,2))]. 3385 (x \ 1) \ (((y / x) / (x \ 1)) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. [para(3379(a,1),660(a,2,1))]. 3386 (x \ 1) \ ((y / ((1 / x) * (1 / x))) / x) = x * (y * (1 / (1 / x))). [para(2024(a,1),3379(a,2,2))]. 3387 (x * (y \ (x / y))) * y = ((x / y) \ 1) \ x. [para(926(a,1),3353(a,1,1))]. 3388 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(14(a,1),3375(a,1,1,1)),flip(a)]. 3389 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(3375(a,2),20(a,1))]. 3390 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(72,a,3378,a(flip),b,1926,a),flip(a)]. 3392 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [hyper(2033,a,3381,a)]. 3393 ((x \ 1) \ y) * (x \ (1 / x)) = (x * (y * (1 / x))) / x. [hyper(73,a,3381,a(flip),b,2356,a),flip(a)]. 3394 (x * (1 / y)) * (y \ 1) = (x / y) / y. [hyper(1293,a,3382,a)]. 3395 (x * (1 / (y \ (z \ 1)))) * ((y \ (z \ 1)) \ 1) = (1 / (x / (y \ (z \ 1)))) \ (z * y). [hyper(227,a,340,a(flip),b,3394,a)]. 3396 (x * (1 / (y \ (1 / z)))) * (z * ((y \ 1) \ 1)) = (x / (y \ (1 / z))) / (y \ (1 / z)). [para(320(a,1),3394(a,1,2))]. 3397 (x * (y \ (x / y))) * y = (y * (x \ 1)) \ x. [para(125(a,1),3387(a,2,1))]. 3398 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(3388(a,1),20(a,1))]. 3399 (x * (y \ x)) / y = x * (y \ (x / y)). [hyper(73,a,780,a(flip),b,3397,a)]. 3400 T(((1 / x) \ y) * (x \ (((1 / x) \ y) / x)),x) = (y * ((x \ ((1 / x) \ y)) / x)) * x. [para(3399(a,1),917(a,1,1))]. 3401 (x * ((1 / x) * y)) * x = y / (1 / x). [hyper(227,a,3346,a(flip),b,3344,a)]. 3402 (x \ y) / (1 / x) = ((x \ 1) * y) * x. [para(3357(a,1),3401(a,1,1)),flip(a)]. 3403 ((x \ 1) * (x * y)) * x = y / (1 / x). [para(3359(a,2),3401(a,1,1))]. 3404 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(227,a,3293,a(flip),b,3403,a(flip)),flip(a)]. 3405 (1 / x) * (1 / (y / x)) = x * ((1 / x) * (1 / y)). [para(351(a,1),3365(a,1,2))]. 3406 1 / (((x \ y) \ 1) * x) = (x \ 1) * ((x \ 1) * y). [hyper(1690,a,3380,a)]. 3408 (((x \ y) \ 1) * y) / ((x \ y) * y) = (y \ x) * (y \ x). [para(961(a,1),3347(a,1,2))]. 3409 (x * y) * ((x * (y * (x * y))) \ z) = (y \ (x \ 1)) * z. [para(940(a,1),3355(a,1,2,1))]. 3410 (x \ (y \ 1)) / ((y * (((y \ 1) * x) * (y * ((y \ 1) * x)))) \ (y \ 1)) = y * ((y \ 1) * x). [hyper(73,a,950,a(flip),b,3409,a)]. 3411 (x * x) \ (x \ (x / y)) = x \ ((x \ 1) / y). [para(2185(a,1),3348(a,1,2))]. 3412 (x * x) \ (x \ (x / y)) = x \ (x \ (1 / y)). [para(318(a,1),3411(a,2,2))]. 3413 1 / ((x * y) * y) = y \ (y \ (1 / x)). [hyper(227,a,1015,a(flip),b,3412,a(flip)),flip(a)]. 3414 x * (1 / ((y * x) * x)) = x \ (1 / y). [para(3413(a,2),14(a,1,2))]. 3415 x \ (1 / (y / x)) = x * (1 / (y * x)). [para(16(a,1),3414(a,1,2,2,1)),flip(a)]. 3416 x * (x * (1 / (y * x))) = 1 / (y / x). [para(3415(a,1),14(a,1,2))]. 3417 (1 / x) * (1 / (y * (1 / x))) = x * (1 / (y * x)). [hyper(17,a,1141,a,b,3416,a)]. 3418 x * (x * (1 / (1 / T(y,x)))) = 1 / ((1 / (y * x)) / x). [para(336(a,1),3416(a,1,2,2,2))]. 3419 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = (1 / (z / (1 / y))) / x. [para(3416(a,1),328(a,1,1)),flip(a)]. 3420 (x * (1 / (y * x))) / (x \ (z \ (x * (1 / (y * x))))) = (z * (1 / (y / x))) / (x * (1 / (y * x))). [para(3416(a,1),1175(a,1,1,2)),flip(a)]. 3421 (1 / x) * ((x \ 1) \ (1 / y)) = x * (1 / (y * x)). [para(1120(a,1),3417(a,1,2))]. 3422 (((1 / (x * (1 / y))) \ y) \ 1) \ (1 / z) = 1 / (z * (y * (1 / (x * y)))). [para(3417(a,1),1138(a,1,2,2)),flip(a)]. 3423 (1 / x) * ((x \ 1) \ ((y * y) \ (1 / z))) = x * (1 / ((z * (y * y)) * x)). [para(1010(a,1),3421(a,1,2,2))]. 3424 x * (x * ((T(y,x) \ 1) \ 1)) = 1 / ((1 / (y * x)) / x). [para(1058(a,1),3418(a,1,2,2))]. 3425 1 / ((1 / (x * y)) / y) = y * (((x \ 1) \ 1) * y). [para(1575(a,1),3424(a,1,2)),flip(a)]. 3426 1 / ((1 / (x * y)) / y) = (y / (1 / x)) * y. [hyper(227,a,1077,a(flip),b,3425,a)]. 3427 (x \ 1) * ((y / (1 / z)) * y) = ((y * (z * y)) \ x) \ 1. [para(3426(a,1),1728(a,1,2))]. 3428 ((x * y) \ (y \ 1)) \ 1 = (y / (1 / x)) * y. [hyper(17,a,751,a,b,3427,a),flip(a)]. 3429 ((1 / x) / (1 / y)) * (1 / x) = ((y * (1 / x)) \ x) \ 1. [hyper(17,a,754,a(flip),b,3427,a)]. 3430 ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = (y \ 1) / (1 / x). [hyper(255,a,3428,a)]. 3431 ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = ((1 / (x / y)) \ x) \ 1. [para(1079(a,1),3429(a,2,1,1))]. 3432 ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = y \ (1 / (1 / x)). [hyper(227,a,318,a(flip),b,3430,a)]. 3433 ((x * (y \ 1)) \ ((y \ 1) \ 1)) \ y = y \ ((x \ 1) \ 1). [para(1058(a,1),3432(a,2,2))]. 3434 ((x \ (y / x)) \ 1) \ x = x \ ((y \ 1) \ 1). [para(1425(a,1),3433(a,1,1))]. 3435 (((x / y) \ y) \ 1) * y = y \ ((x \ 1) \ 1). [hyper(227,a,1406,a(flip),b,3434,a(flip)),flip(a)]. 3436 ((x / y) \ y) \ 1 = y \ (1 / (y / x)). [hyper(18,a,2017,a,b,3435,a)]. 3437 ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = T(y * x,(x \ (y \ 1)) \ z) \ 1. [hyper(72,a,3374,a(flip),b,659,a)]. 3438 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ u) = ((x * y) * z) * ((1 / ((x * y) * z)) * u). [para(123(a,1),3374(a,1,2,1,2))]. 3440 ((x \ (y \ 1)) \ z) / (((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z))) = (1 / (y * x)) \ ((x \ (y \ 1)) \ z). [para(3374(a,1),793(a,1,2,2))]. 3441 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(227,a,3239,a(flip),b,3404,a)]. 3442 (x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x. [hyper(227,a,376,a(flip),b,3441,a)]. 3443 K((x * y) \ x,y) = K(y \ 1,y). [hyper(238,a,3442,a)]. 3444 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(14(a,1),3443(a,1,1,1)),flip(a)]. 3445 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),3443(a,1,1,1))]. 3446 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),3443(a,1,1,1)),flip(a)]. 3447 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(963(a,1),3443(a,1,1)),flip(a)]. 3448 K(x / (y * x),y) = K(y \ 1,y). [para(968(a,1),3443(a,1,1))]. 3449 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(2491(a,1),3445(a,1,1,2)),flip(a)]. 3450 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(227,a,767,a(flip),b,3444,a)]. 3451 K(1 / (x \ y),x \ y) = K(y \ x,x \ y). [hyper(227,a,2284,a,b,3444,a(flip)),flip(a)]. 3452 T(x,K(y \ z,z \ y)) = x. [para(3444(a,1),3098(a,1,2))]. 3453 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(3444(a,1),3256(a,1,2))]. 3454 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(3389,a,3452,a),flip(a)]. 3455 (1 / x) * K(y \ z,z \ y) = K(y \ z,z \ y) / x. [hyper(654,a,3452,a)]. 3456 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),3447(a,2,1))]. 3457 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(313(a,1),3451(a,1,1))]. 3458 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(62(a,1),3457(a,1,1,1)),flip(a)]. 3459 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(227,a,3197,a(flip),b,3446,a(flip))]. 3461 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(32(a,1),3459(a,1,2))]. 3462 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3461(a,1),3453(a,1,2)),flip(a)]. 3463 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(3450(a,1),2426(a,1,2))]. 3464 T((1 / x) / x,1 / x) * T(y,1 / x) = (x \ y) / x. [hyper(227,a,1326,a(flip),b,3340,a)]. 3465 T(x \ (x \ 1),1 / x) * T(y,1 / x) = (x \ y) / x. [para(988(a,1),3464(a,1,1,1))]. 3466 T(x \ (x \ 1),x \ 1) * T(y,1 / x) = (x \ y) / x. [para(1539(a,1),3465(a,1,1))]. 3467 (x \ T(x \ 1,x)) * T(y,1 / x) = (x \ y) / x. [para(771(a,1),3466(a,1,1))]. 3468 (x \ (1 / x)) * T(y,1 / x) = (x \ y) / x. [para(798(a,1),3467(a,1,1,2))]. 3469 (x \ (1 / x)) * T(y,x \ 1) = (x \ y) / x. [para(1539(a,1),3468(a,1,2))]. 3470 (x \ 1) * (x \ T(y,x \ 1)) = (x \ y) / x. [hyper(227,a,2384,a(flip),b,3469,a(flip)),flip(a)]. 3471 (x \ 1) \ (((1 / (y / x)) \ x) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. [para(317(a,1),3385(a,1,2,1))]. 3472 (x \ 1) \ ((y / (1 * (x \ (1 / x)))) / x) = x * (y * (1 / (1 / x))). [para(926(a,1),3386(a,1,2,1,2))]. 3473 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1927(a,1),3390(a,1,2))]. 3474 ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = (x / (x \ y)) \ 1. [para(796(a,1),3431(a,2,1))]. 3475 ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = (x \ y) * (x \ 1). [hyper(227,a,125,a(flip),b,3474,a)]. 3476 ((1 / x) / (1 / ((y \ 1) \ 1))) * (1 / x) = x \ (y / x). [hyper(227,a,1257,a(flip),b,3475,a)]. 3477 ((1 / x) / (y \ 1)) * (1 / x) = x \ (y / x). [para(62(a,1),3476(a,1,1,2))]. 3479 ((1 / (1 / x)) \ y) * (1 / x) = x \ (y / x). [para(317(a,1),3477(a,1,1))]. 3480 (1 / x) * (y * (1 / x)) = x \ (y / x). [hyper(674,a,3479,a)]. 3481 (((x \ 1) \ 1) \ y) * (1 / x) = x \ (y / x). [para(1058(a,1),3479(a,1,1,1))]. 3482 (x \ 1) \ ((x * ((1 / x) * y)) \ (x \ 1)) = (x * (y * (1 / x))) \ 1. [para(1536(a,1),3471(a,1,2,1))]. 3483 (x \ 1) \ ((y / (x \ (1 / x))) / x) = x * (y * (1 / (1 / x))). [para(11(a,1),3472(a,1,2,1,2))]. 3484 (x \ 1) \ ((y * ((1 / x) \ x)) / x) = x * (y * (1 / (1 / x))). [para(1741(a,1),3483(a,1,2,1))]. 3485 (x \ 1) \ (y / (1 / x)) = x * (y * (1 / (1 / x))). [para(2434(a,1),3484(a,1,2))]. 3486 ((x \ 1) \ 1) * (y * x) = x * (y * (1 / (1 / x))). [hyper(227,a,1754,a(flip),b,3485,a(flip)),flip(a)]. 3487 ((x \ 1) \ 1) * (y * x) = x * (y * ((x \ 1) \ 1)). [para(1058(a,1),3486(a,2,2,2))]. 3488 ((x \ 1) \ 1) * (y * x) = ((x \ 1) \ y) * x. [hyper(227,a,1517,a(flip),b,3487,a)]. 3489 (x \ 1) \ ((x * (x * y)) \ x) = (x * (y * (1 / x))) \ 1. [para(3371(a,1),3482(a,1,2))]. 3490 (x \ (y \ 1)) * ((y * x) * (((y * x) \ 1) \ z)) = ((x \ (y \ 1)) \ 1) * z. [para(1511(a,1),3360(a,1,2))]. 3491 ((((x \ 1) \ 1) * y) / ((1 / x) * z)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(1057(a,1),3370(a,1,1,2,1))]. 3492 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = ((y \ 1) * (1 / z)) / x. [para(1129(a,1),3419(a,2,1))]. 3494 (x \ (y \ 1)) * ((y * x) * ((x \ (y \ 1)) \ z)) = ((x \ (y \ 1)) \ 1) * z. [para(123(a,1),3490(a,1,2,2,1))]. 3495 1 / (x * (((1 / y) * (1 / (z * (1 / y)))) \ y)) = ((z \ 1) \ y) \ (1 / x). [hyper(227,a,1122,a(flip),b,3492,a)]. 3496 (x * y) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (x * y)) * ((y \ (x \ 1)) \ z). [hyper(72,a,3494,a(flip),b,3367,a(flip))]. 3498 1 / (x * ((y * (1 / (z * y))) \ y)) = ((z \ 1) \ y) \ (1 / x). [para(3417(a,1),3495(a,1,2,2,1))]. 3499 1 / (x * (y / (1 / z))) = ((y \ 1) \ z) \ (1 / x). [para(1133(a,1),3498(a,1,2,2))]. 3500 (x \ (((y * y) \ 1) \ (1 / z))) * z = (1 / z) * ((x * (1 / z)) \ (y * y)). [para(144(a,1),2412(a,1,2,2)),flip(a)]. 3501 (x \ (((y * y) \ 1) \ (1 / z))) * z = (1 / z) * (((x * (1 / z)) \ y) * y). [para(939(a,1),3500(a,2,2))]. 3502 (x \ ((y \ (y \ 1)) \ (1 / z))) * z = (1 / z) * (((x * (1 / z)) \ y) * y). [para(123(a,1),3501(a,1,1,2,1))]. 3503 (1 / x) * (((y * (1 / x)) \ z) * z) = (y \ ((z * z) * (1 / x))) * x. [para(992(a,1),3502(a,1,1,2)),flip(a)]. 3504 (1 / x) * (((y * (1 / x)) \ z) * z) = (y \ (z * (z / x))) * x. [para(1040(a,1),3503(a,2,1,2))]. 3505 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),2641(a,1,2,1,1)),flip(a)]. 3506 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(1637(a,1),3505(a,1,2))]. 3507 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(2656,a,3506,a),flip(a)]. 3508 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),3507(a,1,2,1,2)),flip(a)]. 3509 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(161(a,1),3508(a,1,1,2,1,2)),flip(a)]. 3510 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(166,a,2776,a(flip),b,2671,a(flip)),flip(a)]. 3511 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),2671(a,1,2,1,2)),flip(a)]. 3512 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(166,a,2801,a(flip),b,3511,a),flip(a)]. 3513 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(78,a,3512,a)]. 3514 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(227,a,377,a(flip),b,3512,a(flip))]. 3515 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(3512(a,1),19(a,1))]. 3516 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(375(a,1),3513(a,1,2,1,2))]. 3517 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(726(a,1),2829(a,2,2,1))]. 3518 1 / (((((x / y) * (y * L(z,y,y))) \ u) * (1 / u)) * u) = u \ (y \ ((y * x) * z)). [para(1368(a,2),2874(a,1,2,1,1,1,2))]. 3519 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2778(a,1),2896(a,1,2)),flip(a)]. 3520 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(227,a,3264,a(flip),b,3519,a(flip))]. 3521 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(1240(a,1),3213(a,1,2,1))]. 3522 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),3238(a,1,1,1))]. 3523 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(73,a,3251,a(flip),b,3522,a),flip(a)]. 3525 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(227,a,2253,a(flip),b,3523,a)]. 3526 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),3525(a,1,2,1)),flip(a)]. 3527 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),3525(a,1,2,1))]. 3528 K(x,y / (x * y)) = K(x,x \ 1). [para(968(a,1),3525(a,1,2))]. 3529 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(3525(a,1),3463(a,1,2))]. 3530 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(227,a,768,a,b,3527,a(flip)),flip(a)]. 3531 K(x,y / (x * y)) = x \ T(x,z / (x * z)). [hyper(227,a,3244,a,b,3528,a)]. 3532 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(227,a,3456,a,b,3528,a(flip)),flip(a)]. 3533 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(2260,a,3526,a)]. 3534 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(2547(a,2),3526(a,2,2)),flip(a)]. 3535 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(3531(a,2),3248(a,1))]. 3536 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(16(a,1),3535(a,1,2,2))]. 3537 (x \ y) * (1 / (x \ y)) = 1 * K(x \ y,y \ x). [hyper(227,a,11,a,b,3533,a)]. 3538 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(72,a,3458,a(flip),b,3533,a)]. 3539 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(3250(a,1),3529(a,2,2))]. 3540 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(3251(a,1),3529(a,2,2))]. 3542 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(3090,a,3539,a)]. 3543 (x * K(y,y \ 1)) / T(y,y \ 1) = x / y. [hyper(591,a,3539,a)]. 3544 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(306,a,3539,a),flip(a)]. 3545 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(227,a,3205,a,b,3539,a(flip)),flip(a)]. 3546 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(72,a,3539,a(flip),b,3205,a)]. 3551 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(306,a,3540,a),flip(a)]. 3552 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(227,a,3205,a,b,3540,a(flip)),flip(a)]. 3554 R(x,K(y,y \ 1),y) = (x / y) * y. [para(3543(a,1),2676(a,1,1)),flip(a)]. 3555 R(x,K(y,y \ 1),y) = x. [hyper(227,a,16,a(flip),b,3554,a)]. 3557 R(x,K(y \ 1,y),1 / y) = x. [para(2254(a,1),3555(a,1,2))]. 3558 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(3557(a,1),1448(a,1,1)),flip(a)]. 3559 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(3087(a,2),3545(a,1,1))]. 3560 L(x,K(x,x \ 1),y) = x. [hyper(2273,a,3546,a)]. 3561 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(2254(a,1),3560(a,1,2))]. 3562 ((1 / x) / y) * ((y \ 1) \ 1) = K(y,y \ 1) / x. [hyper(227,a,3086,a(flip),b,3551,a)]. 3563 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(3087(a,2),3552(a,1,1))]. 3564 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(85,a,3558,a)]. 3565 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(73,a,16,a(flip),b,3558,a),flip(a)]. 3566 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,2559,a(flip),b,3558,a)]. 3567 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(227,a,3542,a,b,3559,a)]. 3568 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(3108,a,3566,a)]. 3569 R(x,y \ 1,y) / y = x * (1 / y). [hyper(2666,a,3566,a)]. 3570 R(x,1 / y,K(y \ 1,y)) = x. [hyper(2170,a,3566,a)]. 3571 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(2257(a,1),3570(a,1,3))]. 3572 R(x / (1 / y),y \ 1,y) = x * y. [hyper(2136,a,3569,a)]. 3573 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1822,a,3569,a),flip(a)]. 3574 (x * (1 / y)) * y = R(x,y \ 1,y). [para(3569(a,1),16(a,1,1))]. 3575 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(227,a,609,a(flip),b,3573,a(flip))]. 3576 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(3571(a,1),2282(a,1,1)),flip(a)]. 3577 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(3564(a,1),3572(a,1,1))]. 3578 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(306,a,3576,a),flip(a)]. 3579 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(227,a,2637,a(flip),b,3578,a(flip))]. 3580 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2993(a,1),3575(a,1,1)),flip(a)]. 3582 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3532(a,1),3246(a,1,1))]. 3583 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(3093,a,3582,a)]. 3584 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(588,a,3582,a)]. 3585 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(308,a,3582,a),flip(a)]. 3586 K(x,x \ 1) * (x * y) = T(y * x,x \ 1). [hyper(227,a,1437,a,b,3582,a)]. 3587 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(227,a,244,a(flip),b,3582,a)]. 3588 L(x,y,K(y,y \ 1)) = x. [hyper(2272,a,3582,a(flip))]. 3589 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(227,a,2818,a(flip),b,3582,a(flip)),flip(a)]. 3590 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(183(a,1),3582(a,1,2))]. 3593 L(x,K(y \ 1,y),1 / y) = x. [hyper(227,a,2825,a(flip),b,3588,a(flip)),flip(a)]. 3594 L(x,1 / y,K(1 / y,y)) = x. [para(65(a,1),3588(a,1,3,2))]. 3595 L(x,1 / y,K(y \ 1,y)) = x. [para(2254(a,1),3588(a,1,3))]. 3597 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(72,a,3593,a(flip),b,2864,a),flip(a)]. 3598 L(x,K(y,y \ 1),1 / (1 / y)) = x. [para(2257(a,1),3593(a,1,2))]. 3599 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3593(a,1),2169(a,1,2)),flip(a)]. 3600 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(2288(a,1),3594(a,1,3))]. 3601 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(227,a,3210,a(flip),b,3595,a(flip)),flip(a)]. 3602 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3595(a,1),1446(a,1,2)),flip(a)]. 3603 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3595(a,1),2861(a,1,1,2))]. 3604 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3598(a,1),2281(a,1,2)),flip(a)]. 3605 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(227,a,2278,a(flip),b,3600,a(flip)),flip(a)]. 3606 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3600(a,1),2277(a,1,2)),flip(a)]. 3607 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),3603(a,1,1)),flip(a)]. 3608 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),3603(a,1,1))]. 3609 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3603(a,1),713(a,1,2))]. 3610 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [para(3603(a,1),603(a,1,2))]. 3611 L(x,y,y \ 1) = L(x,y,y). [hyper(1144,a,3607,a),flip(a)]. 3612 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(476,a,3607,a)]. 3613 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(78,a,3607,a)]. 3615 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3607(a,1),241(a,1,1))]. 3616 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(62(a,1),3612(a,1,3)),flip(a)]. 3617 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(227,a,244,a(flip),b,3583,a)]. 3618 (T(x,x \ 1) * y) / T(x,x \ 1) = (x * y) / x. [hyper(73,a,3583,a(flip),b,3544,a)]. 3619 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [para(3584(a,1),329(a,1,2))]. 3620 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(1982,a,3585,a),flip(a)]. 3621 x * (K(x,x \ 1) * y) = T(y * x,x \ 1). [hyper(227,a,2818,a(flip),b,3586,a(flip)),flip(a)]. 3622 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(72,a,14,a(flip),b,3587,a),flip(a)]. 3623 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(227,a,2818,a(flip),b,3587,a(flip)),flip(a)]. 3625 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(17,a,3156,a(flip),b,3589,a)]. 3627 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3597(a,1),14(a,1,2))]. 3628 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [hyper(78,a,3599,a)]. 3629 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(227,a,3113,a(flip),b,3599,a(flip)),flip(a)]. 3632 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(3103,a,3601,a)]. 3634 T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). [para(3601(a,1),2688(a,1,1,2))]. 3636 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(3103,a,3602,a)]. 3638 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(636(a,1),3602(a,1,2))]. 3639 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3602(a,1),466(a,1,1))]. 3641 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(72,a,14,a(flip),b,3604,a),flip(a)]. 3643 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(3605(a,1),14(a,1,2))]. 3645 K(x,x \ 1) * (1 / y) = x * ((1 / x) / y). [para(337(a,1),3606(a,1,2))]. 3646 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(236(a,1),3606(a,1,2))]. 3647 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(3610(a,1),207(a,1,1)),flip(b)]. 3648 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(2620(a,1),3610(a,1,2))]. 3649 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(114(a,1),3620(a,1,2,1))]. 3650 (1 / (x * y)) \ (y \ 1) = K(y,y \ 1) * x. [hyper(17,a,808,a,b,3621,a),flip(a)]. 3651 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(17,a,3392,a(flip),b,3623,a)]. 3652 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [para(3087(a,1),3623(a,1,2))]. 3653 ((x \ 1) \ 1) * (x * y) = x * (((x \ 1) \ 1) * y). [para(3587(a,1),3623(a,1,2)),flip(a)]. 3654 (1 / ((x / y) \ y)) \ ((y \ (1 / (y / x))) * z) = K(((x / y) \ y) \ 1,(x / y) \ y) * z. [para(3436(a,1),3628(a,1,2,1))]. 3655 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(227,a,3098,a,b,3629,a),flip(a)]. 3656 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(3565(a,1),3629(a,1,2))]. 3657 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(227,a,2951,a(flip),b,3632,a)]. 3658 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(3632(a,1),3558(a,1,1))]. 3659 K(x,x \ 1) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(227,a,1126,a(flip),b,3641,a)]. 3660 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3641(a,1),3563(a,1,1))]. 3661 x * (1 / ((y \ 1) * x)) = K(x,x \ 1) * y. [para(345(a,2),3643(a,1,2))]. 3662 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) * y. [para(1058(a,1),3643(a,1,2,1))]. 3663 K(x,x \ 1) / y = x * ((1 / x) / y). [hyper(227,a,3121,a(flip),b,3645,a(flip)),flip(a)]. 3664 K(x,x \ 1) / y = x * (1 / (y * x)). [para(325(a,1),3663(a,2,2))]. 3665 (1 / x) * K(y,y \ 1) = y * (1 / (x * y)). [hyper(3094,a,3664,a)]. 3666 x * (K(y,y \ 1) / z) = x * (y * (1 / (z * y))). [hyper(21,a,3664,a)]. 3667 K(x * y,y \ (x \ 1)) / z = (x * y) * (1 / (z * (x * y))). [para(123(a,1),3664(a,1,1,2))]. 3668 (x \ y) * (1 / (z * (x \ y))) = K(x \ y,y \ x) / z. [para(3526(a,1),3664(a,1,1)),flip(a)]. 3669 (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. [hyper(3093,a,3649,a)]. 3670 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(72,a,65,a(flip),b,3649,a)]. 3672 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3649(a,1),3563(a,1,1)),flip(a)]. 3673 (1 / T(x,K(y,y \ 1) * z)) \ (y * (1 / (z * y))) = (y * (1 / (z * y))) * x. [para(3650(a,1),704(a,1,1,2,2))]. 3674 (x * (1 / (y * x))) * ((K(x,x \ 1) * y) * z) = L(z,x * (1 / (y * x)),x * (1 / (y * x))). [para(3650(a,1),1396(a,1,2,1))]. 3675 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(3093,a,3651,a)]. 3676 K(x,x \ 1) * (y \ 1) = (y \ x) * (1 / x). [para(124(a,1),3651(a,1,2))]. 3677 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [hyper(227,a,3617,a,b,3652,a),flip(a)]. 3678 ((x \ 1) \ 1) \ (x * y) = K(x,x \ 1) * y. [para(13(a,1),3659(a,1,2)),flip(a)]. 3679 K(x,x \ 1) * ((y * z) \ (z \ 1)) = x * (1 / (((z / (1 / y)) * z) * x)). [para(3428(a,1),3661(a,1,2,2,1)),flip(a)]. 3680 (x * y) * ((1 / (x * y)) * (K(z,z \ 1) \ 1)) = (z * (1 / ((x * y) * z))) \ (y \ (x \ 1)). [para(3665(a,1),2093(a,1,1)),flip(a)]. 3681 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(306,a,3675,a),flip(a)]. 3682 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(3675(a,1),498(a,1,1))]. 3683 x \ K(y,y \ 1) = (x \ y) * (1 / y). [hyper(3096,a,3676,a)]. 3684 ((1 / x) \ y) * (1 / y) = K(y,y \ 1) * x. [para(65(a,1),3676(a,1,2)),flip(a)]. 3685 K(x,x \ 1) * (y \ (z \ 1)) = ((z * y) \ x) * (1 / x). [para(123(a,1),3676(a,1,2))]. 3686 K(x,x \ 1) * (y * (z \ 1)) = ((z / y) \ x) * (1 / x). [para(125(a,1),3676(a,1,2))]. 3687 (((1 / x) * y) \ z) * (1 / z) = K(z,z \ 1) * (y \ x). [para(250(a,1),3676(a,1,2)),flip(a)]. 3688 T(x * ((y \ z) * (1 / z)),x) = (y / K(z,z \ 1)) \ x. [para(3676(a,1),1218(a,1,1,2))]. 3689 (x \ y) * (1 / y) != z | x \ K(y,y \ 1) = z. [para(3676(a,1),3096(a,1))]. 3690 x \ K(y * z,z \ (y \ 1)) = (x \ (y * z)) * (1 / (y * z)). [para(123(a,1),3683(a,1,2,2))]. 3691 x \ (K(y * x,(y * x) \ 1) * x) = (((y * x) \ 1) * y) * x. [para(3684(a,1),2114(a,1,2))]. 3692 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3609(a,1),3327(a,1,1,1,1))]. 3693 (1 / (x * y)) * ((x \ 1) \ 1) = K(x,x \ 1) / y. [para(325(a,1),3562(a,1,1))]. 3694 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [hyper(166,a,3567,a,b,2819,a)]. 3696 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [hyper(227,a,1539,a,b,3634,a(flip)),flip(a)]. 3697 x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. [para(3634(a,2),14(a,1,2))]. 3698 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(3638(a,1),28(a,2,1)),flip(a)]. 3699 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(227,a,3098,a,b,3656,a),flip(a)]. 3701 (1 / x) * (y * ((x \ 1) \ 1)) = (x \ y) * x. [hyper(227,a,2007,a(flip),b,3672,a(flip)),flip(a)]. 3702 (1 / x) \ ((x \ y) * x) != z | y * ((x \ 1) \ 1) = z. [para(3701(a,1),282(a,1,2)),flip(b)]. 3703 (1 / ((x * (y \ 1)) \ z)) * (1 * ((((x * (y \ 1)) \ z) \ 1) \ 1)) = ((z \ 1) * (1 / (y / x))) * ((x * (y \ 1)) \ z). [para(1123(a,1),3701(a,2,1))]. 3704 R(x,y,K(x,x \ 1)) = x. [hyper(495,a,3677,a)]. 3705 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(3704(a,1),42(a,2,1))]. 3706 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(227,a,3207,a(flip),b,3705,a(flip))]. 3708 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(2259(a,1),3706(a,1,2,2))]. 3709 T(x,K(x,x \ 1) * y) = T(x,y). [para(3087(a,2),3706(a,1,2))]. 3710 (x \ ((y \ (x \ 1)) \ 1)) \ 1 = K(x,x \ 1) / y. [hyper(1654,a,3693,a)]. 3711 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(227,a,2748,a,b,3697,a(flip)),flip(a)]. 3712 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(17,a,2976,a(flip),b,3711,a)]. 3713 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(17,a,13,a(flip),b,3711,a)]. 3714 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(72,a,3711,a(flip),b,3619,a)]. 3715 (x \ 1) \ ((1 / x) * y) = K(x,x \ 1) * y. [para(13(a,1),3711(a,1,2)),flip(a)]. 3716 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [para(3712(a,1),14(a,1,2))]. 3717 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(227,a,3628,a(flip),b,3713,a(flip)),flip(a)]. 3718 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(72,a,3713,a(flip),b,3628,a(flip))]. 3719 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(17,a,3628,a(flip),b,3713,a(flip)),flip(a)]. 3720 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(3107,a,3717,a)]. 3721 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(3103,a,3717,a)]. 3722 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(17,a,3602,a,b,3717,a)]. 3723 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(3717(a,1),19(a,1)),flip(a)]. 3724 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [para(3087(a,1),3717(a,1,2))]. 3725 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(3717(a,1),3102(a,1)),flip(a),flip(b)]. 3726 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(3542(a,1),3717(a,1,2))]. 3727 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(3587(a,1),3717(a,1,2))]. 3728 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(3641(a,1),3717(a,1,2))]. 3729 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(3649(a,1),3717(a,1,2))]. 3730 (x * K(y \ 1,y)) \ x = K(y,y \ 1). [hyper(1102,a,3718,a)]. 3731 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(227,a,3587,a(flip),b,3718,a)]. 3732 K(x,x \ 1) * (K(x \ 1,x) * y) != z | z = y. [para(3718(a,1),282(a,1))]. 3734 T(x,K(x \ 1,x) \ y) = T(x,y). [para(3718(a,2),3709(a,1,2))]. 3735 T(x,K(x \ 1,x) * y) = T(x,y). [para(13(a,1),3734(a,1,2)),flip(a)]. 3736 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3602(a,1),3735(a,1,2)),flip(a)]. 3737 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(3093,a,3719,a)]. 3738 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(3719(a,1),3563(a,1,1)),flip(a)]. 3739 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(3719(a,1),3589(a,1,2)),flip(a)]. 3740 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(3719(a,1),3604(a,1,2)),flip(a)]. 3741 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(3719(a,1),3623(a,1,2)),flip(a)]. 3742 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(3093,a,3720,a)]. 3743 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(3088,a,3720,a)]. 3744 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(17,a,3649,a,b,3720,a)]. 3745 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(17,a,3606,a,b,3720,a)]. 3746 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [hyper(17,a,3542,a,b,3720,a)]. 3747 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(73,a,3720,a(flip),b,3087,a(flip))]. 3748 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(3720(a,1),19(a,1)),flip(a)]. 3749 K(x,x \ 1) \ y != z | y * K(x \ 1,x) = z. [para(3720(a,1),282(a,1,2)),flip(b)]. 3750 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(3565(a,1),3720(a,1,2))]. 3751 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(3721(a,1),3558(a,1,1)),flip(a)]. 3752 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(17,a,3602,a,b,3724,a)]. 3753 (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). [hyper(17,a,3128,a,b,3724,a)]. 3754 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(73,a,3724,a(flip),b,3099,a(flip))]. 3755 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(3576(a,1),3724(a,1,2))]. 3756 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(3730(a,1),205(a,1,2))]. 3757 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [hyper(18,a,3540,a,b,3742,a)]. 3758 (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. [para(3747(a,1),293(a,1))]. 3759 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) != u | x / (z * K(y \ 1,y)) = u. [para(3754(a,1),595(a,1,1,1))]. 3761 (1 / x) * ((x \ 1) \ y) = y * K(x,x \ 1). [hyper(227,a,3087,a(flip),b,3716,a)]. 3762 K(x,x \ 1) * (x \ y) = (1 / x) * L(y,x,x). [para(1346(a,1),3716(a,1,2)),flip(a)]. 3763 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(2822,a,3722,a)]. 3764 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(3722(a,1),3589(a,1,2)),flip(a)]. 3765 ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(3722(a,1),3623(a,1,2)),flip(a)]. 3766 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1818,a,3763,a)]. 3767 L(x,1 / y,y) = L(x,y,y). [hyper(227,a,1392,a(flip),b,3766,a)]. 3768 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(62(a,1),3766(a,1,2)),flip(a)]. 3770 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(1860(a,1),3728(a,1,2))]. 3771 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(227,a,2233,a(flip),b,3729,a(flip)),flip(a)]. 3772 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3739(a,1),741(a,1,1))]. 3773 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3126(a,1),3740(a,1,2,1))]. 3774 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(72,a,3741,a(flip),b,3113,a(flip))]. 3776 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(227,a,1752,a,b,3744,a)]. 3777 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [hyper(73,a,3442,a(flip),b,3745,a(flip))]. 3778 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(3444(a,1),3745(a,1,2))]. 3779 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3745(a,1),3558(a,1,1))]. 3780 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(744(a,1),3746(a,1,1)),flip(a)]. 3781 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1609(a,1),3750(a,1,2,2))]. 3782 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(2276,a,3753,a)]. 3783 T(x,y) * (((T(x,y) \ 1) \ 1) \ z) = K(x,x \ 1) * z. [para(3782(a,1),3662(a,2,1))]. 3784 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3782(a,1),3675(a,1,2))]. 3785 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3126(a,1),3755(a,1,1))]. 3786 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(18,a,505,a,b,3757,a)]. 3787 ((x * x) \ (1 / y)) \ (z * (1 / ((y * (x * x)) * z))) = K(z,z \ 1). [hyper(72,a,3423,a(flip),b,3761,a(flip))]. 3788 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(488,a,3768,a),flip(a)]. 3789 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(17,a,1752,a,b,3771,a)]. 3790 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [hyper(18,a,3279,a,b,3780,a),flip(a)]. 3791 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(18,a,2662,a,b,3780,a),flip(a)]. 3792 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(1796(a,1),3780(a,1,1)),flip(a)]. 3793 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(3789(a,2),62(a,1,2))]. 3794 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(72,a,3791,a(flip),b,2124,a(flip)),flip(a)]. 3795 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(3696(a,1),3793(a,1,2))]. 3796 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(227,a,3254,a(flip),b,3794,a(flip)),flip(a)]. 3798 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(3749,a,3622,a(flip)),flip(a)]. 3799 ((x \ 1) \ 1) \ ((x \ 1) \ K(y,x)) = K(y,x). [hyper(17,a,3657,a(flip),b,3798,a)]. 3800 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(3798(a,1),19(a,1))]. 3801 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(419(a,1),3798(a,1,2)),flip(a)]. 3802 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(3799(a,1),14(a,1,2))]. 3803 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(227,a,3652,a,b,3802,a(flip)),flip(a)]. 3804 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(3099(a,2),3758(a,1))]. 3805 (1 / x) * L(y,x,x) = ((x \ 1) \ 1) \ y. [hyper(227,a,3659,a(flip),b,3762,a(flip))]. 3806 ((x \ 1) \ 1) \ (x \ y) = (1 / x) * ((1 / x) * y). [para(1020(a,1),3805(a,1,2)),flip(a)]. 3807 ((x \ 1) \ 1) \ (x / y) = (1 / x) * (1 / (y / x)). [para(1468(a,1),3805(a,1,2)),flip(a)]. 3808 R(x \ y,y \ 1,y) = (x \ 1) * ((y \ 1) \ 1). [para(124(a,1),3786(a,1,1)),flip(a)]. 3809 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(3247(a,2),3786(a,1,2))]. 3810 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3774(a,1),3788(a,1,1))]. 3811 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(3669(a,1),3804(a,1,2)),flip(b)]. 3812 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(227,a,2964,a(flip),b,3808,a)]. 3813 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(227,a,1713,a(flip),b,3777,a(flip)),flip(a)]. 3815 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(14(a,1),3813(a,1,2,1))]. 3816 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(13(a,1),3815(a,1,2))]. 3817 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(236(a,1),3779(a,1,1)),flip(a)]. 3818 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(62(a,1),3790(a,1,2,1,1,2)),flip(a)]. 3819 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(65(a,1),3795(a,1,2,2,1)),flip(a)]. 3820 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(3796(a,1),62(a,1,2))]. 3821 ((x \ (x / (1 / y))) \ 1) \ 1 = x \ (x / (y \ 1)). [para(65(a,1),3796(a,2,2,2,1))]. 3822 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [hyper(17,a,3378,a,b,3803,a)]. 3823 (1 / x) * ((1 / x) * y) = (x \ 1) * ((x \ 1) * y). [hyper(227,a,3380,a(flip),b,3806,a(flip))]. 3824 ((x \ 1) \ 1) \ (x / y) = x * ((1 / x) * (1 / y)). [hyper(227,a,3405,a(flip),b,3807,a)]. 3825 (1 / x) \ ((y \ x) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(334,a,3818,a)]. 3826 (x * (((x \ y) \ 1) \ 1)) \ 1 != z | (((y \ x) \ 1) \ 1) * (x \ 1) = z. [para(3818(a,1),324(a,1,1))]. 3827 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(3819(a,1),62(a,1,2))]. 3828 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(143(a,1),3820(a,1,2,2,2)),flip(a)]. 3829 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(3821(a,1),139(a,1,2,2))]. 3830 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(250(a,2),3825(a,1,2,1))]. 3831 1 / (x * (y * (((y \ z) \ 1) \ 1))) = ((z \ y) * (1 / y)) / x. [para(3825(a,1),326(a,1,2,2))]. 3832 x / (y * (((y \ z) \ 1) \ 1)) = (1 / x) \ ((z \ y) * (1 / y)). [para(3825(a,1),340(a,1,2))]. 3833 (1 / ((1 / x) * y)) \ (((1 / z) \ ((1 / x) * y)) \ 1) = ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1). [para(344(a,1),3825(a,2,2,1,1))]. 3834 x * (x * (((x \ y) \ 1) \ 1)) = (x * x) * ((y \ x) \ 1). [para(3825(a,1),1017(a,1,2))]. 3835 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [para(3827(a,2),14(a,1,2))]. 3837 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [para(3828(a,1),62(a,1,2))]. 3838 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(73,a,3835,a(flip),b,1623,a)]. 3839 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [para(3837(a,2),14(a,1,2))]. 3840 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(62(a,1),3838(a,1,1,1,2)),flip(a)]. 3841 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [hyper(227,a,3579,a,b,3839,a),flip(a)]. 3842 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(62(a,1),3839(a,1,2,2,2,2)),flip(a)]. 3843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),3842(a,2,2,2,2))]. 3844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(3842(a,1),65(a,1,1))]. 3845 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(32(a,2),3844(a,1,1,2,2,2))]. 3846 K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. [para(15(a,1),3536(a,1,2))]. 3847 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2577(a,1),3577(a,2,1))]. 3848 x * ((x \ y) / (1 / x)) = y * ((x \ 1) \ 1). [hyper(3702,a,1375,a),flip(a)]. 3849 (x * y) * ((x \ 1) \ 1) = x * (y / (1 / x)). [para(13(a,1),3848(a,1,2,1)),flip(a)]. 3850 x * (((x \ 1) * y) * x) = y * ((x \ 1) \ 1). [para(3402(a,1),3848(a,1,2))]. 3851 1 / (x * (y / (1 / x))) = (x \ 1) / (x * y). [para(3849(a,1),263(a,1,2))]. 3852 (x * ((1 / x) * y)) * ((x \ 1) \ 1) = x * ((1 / x) * (y * x)). [para(1294(a,1),3849(a,2,2))]. 3853 ((x \ 1) \ y) * ((x \ 1) \ 1) = x * (y * x). [para(14(a,1),3850(a,1,2,1)),flip(a)]. 3854 1 / (x * (y / (1 / x))) = x \ (1 / (x * y)). [hyper(227,a,318,a(flip),b,3851,a)]. 3855 (x \ ((1 / y) * (x \ 1))) \ 1 = x * (y * x). [hyper(1652,a,3853,a)]. 3856 (x \ 1) \ (y / (x \ 1)) = x * (y * x). [hyper(227,a,1257,a(flip),b,3853,a(flip)),flip(a)]. 3857 (x \ 1) \ (y \ x) = x * ((y \ 1) * x). [para(253(a,1),3856(a,1,2))]. 3858 x * (((x * (x * y)) \ 1) * x) = (x * (y * (1 / x))) \ 1. [hyper(227,a,3489,a(flip),b,3857,a(flip))]. 3859 (x \ 1) \ (y \ x) != x * z | (y \ 1) * x = z. [para(3857(a,2),19(a,1))]. 3860 (x * (y \ 1)) \ (z \ (y / x)) = (y / x) * ((z \ 1) * (y / x)). [para(125(a,1),3857(a,1,1))]. 3861 ((x \ 1) \ y) \ (1 / y) = y \ (1 / (y * x)). [hyper(227,a,3499,a(flip),b,3854,a(flip)),flip(a)]. 3862 1 / (x * (y * (z / (1 / y)))) = (y \ (1 / (y * z))) / x. [hyper(73,a,3854,a(flip),b,335,a),flip(a)]. 3863 (x \ (y * (x \ 1))) \ 1 = x * ((y \ 1) * x). [para(62(a,1),3855(a,1,1,2,1))]. 3864 ((x \ 1) * ((1 / y) / x)) \ 1 = x * (y * x). [para(1391(a,1),3855(a,1,1))]. 3865 ((x \ 1) \ (y \ z)) \ ((1 / z) * y) = (y \ z) \ (1 / ((y \ z) * x)). [para(313(a,1),3861(a,1,2))]. 3866 ((x \ 1) \ ((y \ x) \ 1)) \ (1 / ((y \ x) \ 1)) = ((y \ x) \ 1) \ (1 / (((x \ y) \ 1) \ x)). [para(1406(a,2),3861(a,2,2,2))]. 3867 (x \ (y * (x \ 1))) \ 1 = ((1 / x) \ (y \ 1)) * x. [hyper(227,a,619,a,b,3863,a)]. 3868 x * (((y \ x) \ 1) * x) = (x \ (y \ 1)) \ 1. [para(124(a,1),3863(a,1,1,2)),flip(a)]. 3869 (x \ 1) * ((1 / y) / x) = 1 / (x * (y * x)). [para(3864(a,1),62(a,1,2)),flip(a)]. 3870 (x \ (y * (x \ 1))) \ 1 = (x / ((y \ 1) \ 1)) * x. [para(317(a,2),3867(a,2,1))]. 3871 (x / ((T(y,x) \ 1) \ 1)) * x = (x \ (x \ y)) \ 1. [para(1244(a,1),3870(a,1,1,2)),flip(a)]. 3872 (x / T((y \ 1) \ 1,x)) * x = (x \ (x \ y)) \ 1. [para(1601(a,1),3871(a,1,1,2))]. 3873 (x \ (x \ y)) \ 1 = ((y \ 1) * x) * x. [para(1196(a,1),3872(a,1,1)),flip(a)]. 3874 (x \ (x \ ((y \ 1) \ 1))) \ 1 = ((1 / y) * x) * x. [para(1057(a,1),3873(a,2,1,1))]. 3875 ((1 / x) * ((y \ x) \ 1)) \ 1 = ((1 / y) * x) * x. [para(2172(a,1),3874(a,1,1))]. 3876 ((x \ y) \ 1) \ y = ((1 / x) * y) * y. [hyper(338,a,3875,a)]. 3877 ((1 / (1 / T(x,y \ 1))) * y) * y = ((y * x) \ 1) \ y. [para(692(a,1),3876(a,1,1,1)),flip(a)]. 3878 (((1 / x) * (1 / y)) * (1 / y)) \ 1 = y * ((((x \ (1 / y)) \ 1) \ 1) \ 1). [para(3876(a,1),320(a,1,1))]. 3879 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(227,a,3526,a(flip),b,3534,a)]. 3880 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(227,a,1003,a(flip),b,3685,a)]. 3881 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [hyper(3748,a,3880,a)]. 3882 x * (((x \ (y / (1 / z))) \ 1) \ 1) = K(x,x \ 1) * ((y \ 1) \ z). [hyper(227,a,2121,a(flip),b,3687,a(flip)),flip(a)]. 3883 T(x * ((y \ z) * (1 / z)),x) = (y * K(z \ 1,z)) \ x. [para(3747(a,1),3688(a,2,1))]. 3884 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(1609(a,1),3773(a,2,1))]. 3885 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(17,a,3256,a,b,3776,a),flip(a)]. 3886 T(x,y) * (T((x \ 1) \ 1,y) \ z) = K(x,x \ 1) * z. [para(1601(a,1),3783(a,1,2,1))]. 3887 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(669(a,1),3784(a,1,1))]. 3888 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3885(a,1),3785(a,1,1))]. 3889 x \ ((y \ (x \ 1)) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(72,a,2111,a(flip),b,3834,a)]. 3890 (x * (((x \ y) \ 1) \ 1)) \ 1 = K(x,x \ 1) / y. [para(3889(a,1),3710(a,1,1))]. 3891 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(136(a,1),3841(a,1,1)),flip(a)]. 3892 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(1609(a,1),3845(a,1,1,2))]. 3893 x * (((x * y) \ (x \ 1)) * x) = (x * (y * (1 / x))) \ 1. [para(123(a,1),3858(a,1,2,1))]. 3894 ((1 / (1 / T(x,y \ 1))) * y) * y = (x \ (y \ 1)) \ y. [para(123(a,1),3877(a,2,1))]. 3895 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(72,a,14,a(flip),b,3884,a),flip(a)]. 3896 ((1 / x) * y) * (T(((y / x) \ 1) \ 1,y) \ z) = K(y / x,(y / x) \ 1) * z. [hyper(227,a,643,a(flip),b,3886,a(flip)),flip(a)]. 3897 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(113(a,1),3892(a,1,1)),flip(a)]. 3898 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(3897(a,1),65(a,1,1))]. 3899 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(62(a,1),3898(a,1,1,1,1,2)),flip(a)]. 3900 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(3899(a,1),65(a,1,1))]. 3901 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3607(a,1),3900(a,1,1,1,1))]. 3902 x * (((x * y) \ x) * (1 / x)) = (x * (y * (1 / x))) \ 1. [para(2112(a,1),3893(a,1,2))]. 3903 (((T(x,y \ 1) \ 1) \ 1) * y) * y = (x \ (y \ 1)) \ y. [para(1058(a,1),3894(a,1,1,1))]. 3904 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3895(a,1),3741(a,1,2))]. 3905 (x * (y * (1 / x))) \ 1 = x * (y \ (1 / x)). [para(1003(a,1),3902(a,1,2)),flip(a)]. 3906 1 / (x * (y \ (1 / x))) = x * (y * (1 / x)). [para(3905(a,1),62(a,1,2))]. 3907 ((x \ 1) \ (y / (x \ 1))) * (x \ (1 / x)) = x * (y * (1 / x)). [hyper(227,a,2767,a,b,3906,a(flip)),flip(a)]. 3908 (T((x \ 1) \ 1,y \ 1) * y) * y = (x \ (y \ 1)) \ y. [para(1601(a,1),3903(a,1,1,1))]. 3909 ((1 / x) \ ((y \ 1) \ 1)) * x = (y \ (x \ 1)) \ x. [para(1537(a,1),3908(a,1,1))]. 3910 (x \ (y \ 1)) \ y = (y / (1 / x)) * y. [para(1066(a,1),3909(a,1,1)),flip(a)]. 3911 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(227,a,3234,a(flip),b,3816,a(flip)),flip(a)]. 3913 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(62(a,1),3911(a,1,1))]. 3914 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). [para(156(a,2),3911(a,2,2,2)),flip(a)]. 3915 (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). [para(3914(a,1),143(a,1,1,1))]. 3916 L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(190(a,1),3915(a,1,1,1,1)),flip(a)]. 3917 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(3913(a,2),3843(a,1,2))]. 3918 x / L(y,y \ 1,x) = x * (1 / y). [para(62(a,1),3917(a,2,2,2))]. 3919 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(3918(a,1),65(a,1,1)),flip(a)]. 3920 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(227,a,159,a,b,3919,a),flip(a)]. 3921 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(62(a,1),3920(a,1,2)),flip(a)]. 3922 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(114(a,2),3921(a,1,2))]. 3923 x \ K((1 / y) * z,z \ ((1 / y) \ 1)) = (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1). [para(1064(a,1),3690(a,2,2))]. 3924 x \ (K(y * x,x \ (y \ 1)) * x) = (((y * x) \ 1) * y) * x. [para(123(a,1),3691(a,1,2,1,2))]. 3925 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(3530(a,1),3778(a,1,2))]. 3926 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(227,a,3453,a,b,3830,a)]. 3927 (((x \ 1) \ y) * (1 / y)) / z = 1 / (z * (y * (1 / (x * y)))). [para(1062(a,1),3831(a,1,2,2,2)),flip(a)]. 3928 (1 / x) \ (((y \ 1) \ z) * (1 / z)) = x / (z * (1 / (y * z))). [para(1062(a,1),3832(a,1,2,2)),flip(a)]. 3929 (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = x * ((1 / x) * ((1 / y) * x)). [para(3824(a,2),3852(a,1,1))]. 3930 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,3583,a,b,3887,a)]. 3931 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(227,a,418,a(flip),b,3930,a(flip)),flip(a)]. 3932 (x * (y * (1 / x))) * x = ((x \ 1) \ 1) * y. [para(3907(a,1),2358(a,1,1))]. 3933 (x * x) * ((x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(227,a,3342,a(flip),b,3932,a(flip)),flip(a)]. 3934 T((1 / x) / x,1 / x) = ((((1 / x) \ 1) \ 1) * y) / (((1 / x) \ 1) * y). [hyper(73,a,3933,a(flip),b,643,a),flip(a)]. 3935 T(K(x * y,y \ (x \ 1)),y) = (((x * y) \ 1) * x) * y. [hyper(283,a,3924,a)]. 3936 T(K(x * y,y \ (x \ 1)),y) = ((y \ (x \ 1)) * x) * y. [para(123(a,1),3935(a,2,1,1))]. 3937 T(K(x * y,y \ (x \ 1)),y) = ((y \ x) * (1 / x)) * y. [para(2112(a,1),3936(a,2,1))]. 3939 (x * (((x \ y) \ 1) \ 1)) / z = 1 / (z * (x * (1 / (y * x)))). [para(2119(a,1),3927(a,1,1))]. 3940 ((1 / x) * y) \ (((z \ 1) \ u) * (1 / u)) = (y \ x) / (u * (1 / (z * u))). [para(313(a,1),3928(a,1,1))]. 3941 1 / (x * (y * (1 / (z * y)))) = (((y \ z) \ 1) / y) \ (1 / x). [hyper(570,a,3939,a),flip(a)]. 3942 1 / (x * (y * (1 / (z * y)))) = ((y \ z) \ (1 / y)) \ (1 / x). [para(318(a,1),3941(a,2,1))]. 3943 1 / (x * (y * (1 / (z * y)))) = ((z \ y) * (1 / y)) \ (1 / x). [para(1101(a,1),3942(a,2,1))]. 3944 (((1 / (x * (1 / y))) \ y) \ 1) \ (1 / z) = ((x \ y) * (1 / y)) \ (1 / z). [hyper(227,a,3422,a,b,3943,a(flip)),flip(a)]. 3945 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(227,a,3764,a(flip),b,3590,a)]. 3946 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(3846,a,3448,a)]. 3947 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(3946(a,1),3670(a,1,1))]. 3948 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(3258(a,2),3947(a,2,1)),flip(a)]. 3949 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(227,a,3731,a(flip),b,3948,a)]. 3950 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [para(3949(a,1),62(a,1,2)),flip(a)]. 3951 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(65(a,1),3949(a,1,1,1))]. 3952 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(227,a,155,a,b,3950,a),flip(a)]. 3953 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3952(a,2),3264(a,2,2)),flip(a)]. 3954 R(x,1 / x,y) \ y = (x \ 1) * y. [para(65(a,1),3951(a,2,1,1))]. 3955 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3954(a,1),62(a,1,2)),flip(a)]. 3956 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(227,a,155,a,b,3955,a)]. 3957 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3956(a,1),1516(a,1,1))]. 3958 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(227,a,1516,a(flip),b,3957,a(flip))]. 3959 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(1684,a,3958,a),flip(a)]. 3960 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3959(a,2),95(a,1,2,2))]. 3961 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(2786(a,1),3953(a,2,1))]. 3962 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3961(a,2),3011(a,1))]. 3963 x * (((x \ (y / (1 / z))) \ 1) \ 1) != u | ((y \ 1) \ z) * K(x,x \ 1) = u. [para(3882(a,2),3093(a,1))]. 3964 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(2259(a,1),3925(a,1,2))]. 3965 (((x \ y) \ 1) \ 1) * (y \ 1) = K(y,y \ 1) / x. [hyper(3826,a,3890,a)]. 3966 (((x \ y) \ 1) \ 1) * (y \ 1) = y * (1 / (x * y)). [hyper(227,a,3664,a(flip),b,3965,a)]. 3967 (((x \ y) * (1 / y)) \ z) \ 1 = (z \ 1) * (y * (1 / (x * y))). [para(3966(a,1),1722(a,1,2)),flip(a)]. 3968 x * (1 / (((y / (1 / z)) * y) * x)) = ((y * (z * y)) \ x) * (1 / x). [hyper(227,a,3685,a(flip),b,3679,a(flip))]. 3969 x * ((((y \ (1 / x)) \ 1) \ 1) \ 1) = (1 / x) \ ((1 / x) \ y). [hyper(576,a,3878,a),flip(a)]. 3970 x * (((x * ((y \ 1) \ 1)) \ 1) \ 1) = (1 / x) \ ((1 / x) \ y). [para(320(a,1),3969(a,1,2,1,1))]. 3971 x * ((((y \ 1) \ 1) \ (x \ 1)) \ 1) = (1 / x) \ ((1 / x) \ y). [para(123(a,1),3970(a,1,2,1))]. 3972 x * (((x \ 1) \ 1) * (1 / (y \ 1))) = (1 / x) \ ((1 / x) \ y). [para(1070(a,1),3971(a,1,2))]. 3973 (1 / x) \ ((1 / x) \ y) = x * (((x \ 1) \ 1) * y). [para(62(a,1),3972(a,1,2,2)),flip(a)]. 3974 x * ((x \ (1 / y)) * L(1 / y,x,x)) = x / (y * (((y \ 1) \ 1) * x)). [para(3973(a,1),2145(a,2,2))]. 3975 (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = x * ((1 / x) * (1 / (x \ y))). [para(313(a,2),3929(a,2,2,2))]. 3976 T((1 / x) / x,1 / x) = ((x \ 1) * y) / (((1 / x) \ 1) * y). [para(65(a,1),3934(a,2,1,1,1))]. 3977 T((1 / x) / x,1 / x) = ((x \ 1) * y) / (x * y). [para(65(a,1),3976(a,2,2,1))]. 3979 T(x \ (x \ 1),1 / x) = ((x \ 1) * y) / (x * y). [para(988(a,1),3977(a,1,1))]. 3980 T(x \ (x \ 1),x \ 1) = ((x \ 1) * y) / (x * y). [hyper(227,a,1539,a(flip),b,3979,a(flip)),flip(a)]. 3981 x \ T(x \ 1,x) = ((x \ 1) * y) / (x * y). [hyper(1330,a,3980,a)]. 3982 ((x \ 1) * y) / (x * y) = x \ (1 / x). [para(798(a,1),3981(a,1,2)),flip(a)]. 3983 (x \ y) \ (1 / (x \ y)) = (y \ x) * (y \ x). [hyper(227,a,3408,a(flip),b,3982,a(flip))]. 3985 ((x \ y) \ 1) * ((x \ y) \ z) = ((y \ x) * (y \ x)) * z. [para(3983(a,1),2384(a,1,1)),flip(a)]. 3986 T(x / y,x) * ((1 / y) * x) = (y \ x) * (y \ x). [hyper(3306,a,3985,a)]. 3987 (((x * (y * z)) \ (x * y)) * ((x * (y * z)) \ (x * y))) * u = (L(z,y,x) \ 1) * (((x * y) \ (x * (y * z))) \ u). [para(28(a,2),3985(a,1,1,1)),flip(a)]. 3988 (((x / y) * x) \ y) \ z = ((y \ x) * (y \ x)) * z. [para(3986(a,1),3303(a,1,1)),flip(a)]. 3989 x \ ((y / x) * y) = (x \ y) * (x \ y). [hyper(974,a,3988,a)]. 3990 x * ((x \ y) * (x \ y)) = (y / x) * y. [para(3989(a,1),14(a,1,2))]. 3991 (x \ y) \ ((x \ y) \ 1) = ((y / x) * y) \ x. [para(3990(a,1),984(a,1,1)),flip(a)]. 3992 x / ((y \ z) * (y \ z)) = x * (((z / y) * z) \ y). [para(3991(a,1),987(a,1,2)),flip(a)]. 3993 (x / y) \ ((x / y) \ y) = y * (((x / y) * x) \ y). [hyper(227,a,3216,a(flip),b,3992,a(flip)),flip(a)]. 3994 ((1 / x) * y) \ (z * (((z \ u) \ 1) \ 1)) = (y \ x) / (z * (1 / (u * z))). [para(2119(a,1),3940(a,1,2))]. 3995 (((x \ 1) \ 1) \ (x / y)) * ((x \ 1) \ 1) = (1 / x) * (1 / ((x \ y) / x)). [hyper(227,a,3405,a,b,3975,a)]. 3996 (x / y) * ((x \ 1) \ 1) = 1 / ((x \ y) / x). [hyper(2741,a,3995,a)]. 3997 ((x \ 1) \ y) * ((x \ (z / u)) \ 1) = (x \ 1) \ (((z / u) / y) \ x). [para(327(a,1),3323(a,1,2,1)),flip(a)]. 3998 (x \ 1) \ (((y / z) / 1) \ x) = ((x \ 1) \ z) * ((x \ y) \ 1). [hyper(227,a,3322,a(flip),b,3997,a(flip))]. 3999 ((x \ 1) \ y) * ((x \ z) \ 1) = (x \ 1) \ ((z / y) \ x). [para(60(a,1),3998(a,1,2,1)),flip(a)]. 4000 ((x \ 1) \ y) * ((x \ z) \ 1) = x * (((z / y) \ 1) * x). [hyper(227,a,3857,a(flip),b,3999,a)]. 4001 ((x \ 1) \ y) * ((x \ z) \ 1) = x * ((y * (z \ 1)) * x). [para(125(a,1),4000(a,2,2,1))]. 4002 (((x \ (y \ z)) \ 1) \ 1) \ ((y \ z) \ 1) = ((1 / z) * y) * (x * ((1 / z) * y)). [para(1071(a,1),3324(a,1,1))]. 4003 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(227,a,421,a,b,3817,a),flip(a)]. 4004 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(1602(a,1),3888(a,2,2,2))]. 4005 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(62(a,1),4004(a,2,2))]. 4007 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(1049(a,1),3916(a,1,1))]. 4008 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(3922(a,1),4007(a,2,1,1))]. 4009 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(4008(a,1),1055(a,1,2))]. 4010 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(4009(a,1),2628(a,2,1,2))]. 4011 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(227,a,767,a(flip),b,4010,a)]. 4013 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(114(a,1),4011(a,2,1))]. 4014 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(156(a,1),4013(a,1,2,1))]. 4015 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(227,a,1871,a,b,4014,a(flip)),flip(a)]. 4016 T(K(x,y),x) = K((x \ 1) \ 1,y). [hyper(227,a,3282,a(flip),b,4014,a(flip)),flip(a)]. 4017 K((x \ 1) \ 1,y) = K(x,y). [hyper(227,a,3009,a(flip),b,4016,a(flip))]. 4018 K(1 / x,y) = K(x \ 1,y). [para(65(a,1),4017(a,1,1,1)),flip(a)]. 4019 K((x \ (y \ 1)) \ 1,z) = K(y * x,z). [para(123(a,1),4017(a,1,1,1))]. 4020 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(227,a,3160,a,b,4018,a),flip(a)]. 4021 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(4018(a,1),3010(a,2,2))]. 4022 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(227,a,103,a,b,4020,a(flip)),flip(a)]. 4023 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4020(a,1),3161(a,1))]. 4025 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(4021(a,1),3770(a,1,2))]. 4026 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(3647,a,4025,a)]. 4027 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(4026(a,1),1856(a,1,1))]. 4028 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(95(a,2),4027(a,1,1,2))]. 4029 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(227,a,4017,a(flip),b,4015,a)]. 4030 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(3829(a,1),3964(a,2,1))]. 4031 ((1 / x) * y) * (z * ((1 / x) * y)) = (y \ x) \ (z / (y \ x)). [hyper(2131,a,4002,a),flip(a)]. 4032 (x * (y * z)) \ ((z / (x * (y * z))) \ L(z,y,x)) = a(x,y,z) \ 1. [para(28(a,2),1624(a,1,2,2))]. 4033 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(1588,a,1643,a),flip(a)]. 4034 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),4033(a,1,2,1,2,2)),flip(a)]. 4035 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(1491(a,1),4033(a,2,1))]. 4036 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(306,a,4034,a),flip(a)]. 4037 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(4034(a,1),306(a,1))]. 4038 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(2066,a,4036,a),flip(a)]. 4039 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(227,a,2331,a(flip),b,4036,a(flip)),flip(a)]. 4040 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(513(a,2),4039(a,2,1,2,1)),flip(a)]. 4041 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2778(a,1),4039(a,1,2)),flip(a)]. 4042 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(2060(a,1),4037(a,1))]. 4044 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(306,a,4035,a),flip(a)]. 4045 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(227,a,1623,a(flip),b,1759,a(flip))]. 4046 (T(x,y) * (1 / (z * (x \ y)))) \ T(x,y) = L(z,T(x,y),T(x,y)) * (y / T(x,y)). [para(328(a,1),1894(a,1,1,2))]. 4047 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(227,a,468,a(flip),b,2493,a)]. 4048 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(636(a,1),4047(a,2,2))]. 4049 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(1328,a,4048,a)]. 4050 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(4048(a,1),2440(a,1,1)),flip(a)]. 4051 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(4048(a,1),4049(a,1,1,2))]. 4052 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(13(a,1),4051(a,1,1))]. 4054 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3133(a,1),4052(a,1,1))]. 4055 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3133(a,1),4054(a,2,2))]. 4056 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(4055(a,1),16(a,1,1))]. 4057 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(16(a,1),2802(a,1,2,1,2))]. 4058 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(2856(a,1),3520(a,1,2)),flip(a)]. 4059 L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x * (y \ z),T(y,z),T(y,z)). [hyper(1322,a,4046,a),flip(a)]. 4060 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(4057,a,2671,a)]. 4061 T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(2548(a,1),4060(a,1,1,2,1)),flip(a)]. 4062 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(131(a,1),4061(a,1,1))]. 4063 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(131(a,1),4062(a,1,2,1,1)),flip(a)]. 4064 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(227,a,3510,a(flip),b,4063,a)]. 4065 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),4064(a,1,1,2,1)),flip(a)]. 4066 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),4065(a,1,1,2,1)),flip(a)]. 4067 (x * ((y \ 1) \ 1)) \ ((1 / (1 / x)) * y) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). [para(313(a,1),1134(a,1,2))]. 4068 ((1 / 1) \ (x * y)) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (z * (x * y))) \ (y \ (x \ 1)). [para(340(a,1),1787(a,1,1))]. 4069 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(182(a,2),1813(a,1,2,1,1))]. 4070 (((x * y) / ((1 / z) * y)) \ x) \ 1 = (x \ 1) * ((y \ (x \ 1)) \ (y \ z)). [hyper(556,a,1839,a),flip(a)]. 4072 (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1) = ((1 / y) * z) * ((((z \ y) / x) \ 1) \ 1). [para(1064(a,1),2122(a,1,2))]. 4073 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(3597(a,1),2654(a,1,2,2,1,2))]. 4074 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(1488(a,1),2956(a,1,2)),flip(a)]. 4075 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(227,a,2872,a(flip),b,4074,a(flip))]. 4076 T(x / y,x) * ((1 / T(x / y,x)) * z) = (x \ y) * (((1 / y) * x) * z). [para(644(a,1),3369(a,2,1))]. 4077 (x * ((1 / 1) \ (y * z))) * ((z \ (y \ 1)) \ 1) = (1 / (x / (z \ (y \ 1)))) \ (y * z). [para(340(a,1),3395(a,1,1,2))]. 4078 (x * ((1 / (1 / y)) * z)) * (y * ((z \ 1) \ 1)) = (x / (z \ (1 / y))) / (z \ (1 / y)). [para(313(a,1),3396(a,1,1,2))]. 4079 T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * ((x \ ((1 / x) \ y)) / x)) * x. [para(1535(a,1),3400(a,1,1,2,2))]. 4080 T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * (L(y,x,x) / x)) * x. [para(1364(a,1),4079(a,2,1,2,1))]. 4081 T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (y * (y * (1 / x))) * x. [para(1381(a,1),4080(a,2,1,2))]. 4082 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(3738(a,1),3772(a,1,2)),flip(a)]. 4083 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(227,a,26,a,b,4082,a)]. 4084 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(3717(a,1),4083(a,1,1)),flip(a)]. 4085 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),4044(a,2,2,1,2,1))]. 4086 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(85,a,4085,a)]. 4087 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),4086(a,1,1,2,1,2,2)),flip(a)]. 4088 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(4048(a,1),4050(a,1,2,1)),flip(a)]. 4089 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3133(a,1),4088(a,1,1,2))]. 4090 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3133(a,1),4089(a,2,2,1,2))]. 4091 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(3298,a,4090,a),flip(a)]. 4092 (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = (1 \ (y \ (1 / x))) * (1 / (y \ (1 / x))). [para(1058(a,1),4067(a,1,2,1))]. 4093 (1 \ (x * y)) \ (((y \ (x \ 1)) \ 1) * z) = (1 / (z * (x * y))) \ (y \ (x \ 1)). [para(59(a,1),4068(a,1,1,1))]. 4094 (1 / (x * (y * z))) \ (z \ (y \ 1)) = (y * z) \ (((z \ (y \ 1)) \ 1) * x). [para(50(a,1),4093(a,1,1)),flip(a)]. 4096 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(227,a,2657,a(flip),b,4069,a)]. 4097 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(3718(a,1),4096(a,1,2,1))]. 4098 (x * (1 \ (y * z))) * ((z \ (y \ 1)) \ 1) = (1 / (x / (z \ (y \ 1)))) \ (y * z). [para(59(a,1),4077(a,1,1,2,1))]. 4099 (1 / (x / (y \ (z \ 1)))) \ (z * y) = (x * (z * y)) * ((y \ (z \ 1)) \ 1). [para(50(a,1),4098(a,1,1,2)),flip(a)]. 4101 (1 / ((1 / x) \ (y * z))) \ (y * z) = (x * (y * z)) * ((z \ (y \ 1)) \ 1). [para(340(a,1),4099(a,1,1,2))]. 4102 ((1 / (x * y)) * (1 / z)) \ (x * y) = (z * (x * y)) * ((y \ (x \ 1)) \ 1). [para(313(a,1),4101(a,1,1))]. 4103 (((x * y) \ (1 / z)) \ 1) * (x * y) = (z * (x * y)) * ((y \ (x \ 1)) \ 1). [hyper(227,a,1405,a(flip),b,4102,a(flip)),flip(a)]. 4104 (x * (((y * z) \ 1) \ 1)) * (y * z) = (x * (y * z)) * ((z \ (y \ 1)) \ 1). [para(320(a,1),4103(a,1,1))]. 4105 (x * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)) = (x / (z \ (1 / y))) / (z \ (1 / y)). [para(1058(a,1),4078(a,1,1,2,1))]. 4106 (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = (y \ (1 / x)) * (1 / (y \ (1 / x))). [para(50(a,1),4092(a,2,1))]. 4107 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(227,a,2753,a(flip),b,846,a(flip)),flip(a)]. 4109 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(4107(a,1),1491(a,1,1)),flip(a)]. 4110 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(227,a,715,a(flip),b,4109,a)]. 4111 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(227,a,2787,a(flip),b,4110,a(flip))]. 4112 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(227,a,500,a(flip),b,847,a)]. 4113 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1641,a,4112,a)]. 4114 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),4113(a,1,2)),flip(a)]. 4115 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2920(a,1),4114(a,1,1,1)),flip(a)]. 4116 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,92,a(flip),b,4115,a)]. 4117 x / K(y,x) = K(y,x) \ x. [hyper(85,a,4116,a)]. 4118 (K(x,y) \ 1) \ y = y * K(x,y). [hyper(72,a,4116,a(flip),b,1999,a)]. 4121 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1641,a,2422,a),flip(a)]. 4122 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(849(a,1),4121(a,2,2))]. 4123 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(464,a,4122,a)]. 4124 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(2446(a,1),2647(a,2,1))]. 4125 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(2611(a,1),4124(a,2,1,1))]. 4126 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(227,a,30,a,b,4125,a),flip(a)]. 4127 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(4125(a,2),506(a,1))]. 4128 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [hyper(227,a,3445,a(flip),b,4126,a)]. 4129 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3768(a,1),3801(a,1,1))]. 4130 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3616(a,1),4129(a,1,1))]. 4131 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3800,a,4130,a)]. 4132 (((x \ ((x / y) * z)) * 1) \ 1) * (x \ ((x / y) * z)) = K(x \ ((z / x) \ y),x \ ((x / y) * z)). [para(12(a,2),1616(a,1,1,1))]. 4133 K(x \ ((y / x) \ z),x \ ((x / z) * y)) = (x \ ((y / x) \ z)) * (x \ ((x / z) * y)). [para(1592(a,1),1616(a,1,1)),flip(a)]. 4134 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(182(a,2),1825(a,1,2,1,1))]. 4135 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(182(a,2),1827(a,1,2,1,1))]. 4136 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2674(a,1),1846(a,1,1))]. 4137 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2078(a,1),4136(a,1,1))]. 4138 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1341(a,1),4137(a,2,1))]. 4140 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(4138(a,2),773(a,1))]. 4141 T(x / (y * ((z \ 1) * (y * (z \ 1)))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). [para(940(a,1),2027(a,1,1,2))]. 4142 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(2302(a,1),2086(a,1,1))]. 4143 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(2326(a,1),4142(a,1,2))]. 4144 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(825,a,4143,a),flip(a)]. 4146 T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * (1 / (x \ (y \ z))). [para(190(a,1),2791(a,1,2,2)),flip(a)]. 4147 T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * ((1 / (y \ z)) * x). [para(313(a,1),4146(a,2,2))]. 4148 T(x \ (y \ z),x) \ ((1 / z) * y) = ((1 / z) * y) * (((1 / z) * y) * x). [para(313(a,1),4147(a,2,2,1))]. 4149 T((x \ y) \ z,z) / (x \ y) = ((1 / y) * x) * (((1 / y) * x) * z). [hyper(1662,a,4148,a)]. 4150 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(732(a,1),3328(a,2,1))]. 4151 (x \ (y \ 1)) / ((y * (((y \ 1) * x) * L(x,y,y))) \ (y \ 1)) = y * ((y \ 1) * x). [para(1389(a,1),3410(a,1,2,1,2,2))]. 4152 (x \ (y \ 1)) / ((y * ((y \ x) * x)) \ (y \ 1)) = y * ((y \ 1) * x). [para(2708(a,1),4151(a,1,2,1,2))]. 4153 (x \ (y \ 1)) / ((x * x) \ (y \ 1)) = y * ((y \ 1) * x). [para(938(a,1),4152(a,1,2,1))]. 4154 (1 / (x \ (y \ 1))) \ (y * (x * x)) = y * ((y \ 1) * x). [hyper(573,a,4153,a)]. 4156 ((1 / 1) \ (x * y)) \ (x * (y * y)) = x * ((x \ 1) * y). [para(340(a,1),4154(a,1,1))]. 4157 (1 \ (x * y)) \ (x * (y * y)) = x * ((x \ 1) * y). [para(59(a,1),4156(a,1,1,1))]. 4158 (x * y) \ (x * (y * y)) = x * ((x \ 1) * y). [para(50(a,1),4157(a,1,1))]. 4160 x \ L(y,y,x) = (x \ 1) * y. [hyper(554,a,4158,a)]. 4161 L(L(x,x,y),y,y) = x. [hyper(1357,a,4160,a)]. 4162 x * L(y,y,x) = (1 / x) \ y. [hyper(72,a,4161,a(flip),b,1021,a),flip(a)]. 4163 L(x,y,y) = L(x,x,y). [para(4161(a,1),1386(a,1,1))]. 4164 x * (y * L(y,x,x)) = (x * y) * y. [para(4161(a,1),470(a,1,2)),flip(a)]. 4165 L(x,x,y * x) = y * ((x \ y) \ 1). [hyper(227,a,1701,a(flip),b,4163,a(flip))]. 4166 L(1 / x,1 / x,y) = y \ (y / x). [hyper(227,a,1371,a(flip),b,4163,a(flip))]. 4167 (x * y) * L(L(y,x,x),z,u) = x * (y * L(y,z,u)). [para(4163(a,2),470(a,1,2,1))]. 4168 x \ ((x * y) * y) = y * L(y,x,x). [hyper(78,a,4164,a)]. 4169 (((1 / x) * (x * (y * x))) * y) * x = (y * x) * L(y * x,x,x). [hyper(17,a,120,a,b,4164,a),flip(a)]. 4170 (x \ y) \ ((z * y) / (x \ y)) = ((x \ y) \ z) * L(x,x,y * x). [para(4165(a,2),1873(a,1,2)),flip(a)]. 4171 L(1 / x,1 / x,y) = 1 / L(x,y,y). [hyper(227,a,1033,a,b,4166,a)]. 4172 L(1 / x,1 / x,y) = 1 / L(x,x,y). [para(4163(a,1),4171(a,2,2))]. 4173 ((x \ y) \ 1) * L(L((x \ 1) \ 1,y \ 1,y \ 1),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [para(257(a,1),4167(a,1,1))]. 4174 (x \ y) * L(L(L(y,x,x),x \ 1,x \ 1),z,u) = (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)). [para(1349(a,1),4167(a,1,1))]. 4175 (((1 / x) * (x * (y * x))) * y) * x = (y * x) * (y / (1 / x)). [para(1314(a,1),4169(a,2,2))]. 4176 (((1 / x) * (x * (y * x))) * y) * x = y * (x * (y / (1 / x))). [hyper(227,a,2134,a(flip),b,4175,a)]. 4177 (L(x * y,y,y) * x) * y = x * (y * (x / (1 / y))). [para(1021(a,1),4176(a,1,1,1))]. 4178 ((x / (1 / y)) * x) * y = x * (y * (x / (1 / y))). [para(1314(a,1),4177(a,1,1,1))]. 4179 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (((1 / x) / (1 / (x * y))) * (1 / x)) * (x * y). [hyper(227,a,2247,a,b,4178,a),flip(a)]. 4180 x * L(y / (1 / (y \ x)),y \ x,y) = ((y / (1 / (y \ x))) * y) * (y \ x). [hyper(227,a,461,a,b,4178,a),flip(a)]. 4181 1 / (((x / (1 / y)) * x) * y) = (y \ (1 / (y * x))) / x. [para(4178(a,2),3862(a,1,2))]. 4182 x * L(y / (1 / (y \ x)),y \ x,y) = ((y / ((1 / x) * y)) * y) * (y \ x). [para(313(a,1),4180(a,2,1,1,2))]. 4183 x * L(y / (1 / (y \ x)),y \ x,y) = ((y \ (y / (1 / x))) * y) * (y \ x). [para(944(a,1),4182(a,2,1,1))]. 4184 ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = (1 / T(x \ (y \ 1),z)) \ 1. [para(2696(a,1),3437(a,2,1))]. 4185 ((x \ (y \ 1)) \ z) \ ((y * x) * ((1 / (y * x)) * z)) = T(x \ (y \ 1),z). [hyper(227,a,65,a(flip),b,4184,a)]. 4187 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(93(a,1),3517(a,1,1))]. 4188 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(93(a,1),4187(a,1,2,1,1))]. 4189 ((1 / x) * (y / x)) \ ((x \ (1 / (x / y))) * z) = K(((y / x) \ x) \ 1,(y / x) \ x) * z. [para(313(a,1),3654(a,1,1))]. 4190 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2254(a,1),3781(a,1,1))]. 4191 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3126(a,1),4190(a,1,1))]. 4192 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(65(a,1),4191(a,2,2))]. 4196 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(4192(a,1),3741(a,1,2))]. 4197 ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = ((x \ 1) \ 1) \ (1 / ((x \ y) \ 1)). [para(260(a,1),3866(a,1,1)),flip(a)]. 4198 ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = ((x \ 1) \ 1) \ (x \ y). [para(62(a,1),4197(a,2,2))]. 4200 ((x \ y) \ 1) \ (1 / (((y \ x) \ 1) \ y)) = (x \ 1) * ((x \ 1) * y). [hyper(227,a,3380,a(flip),b,4198,a)]. 4202 ((x \ y) \ 1) \ (1 / (((x \ y) \ 1) * y)) = (x \ 1) * ((x \ 1) * y). [para(1406(a,1),4200(a,1,2,2))]. 4203 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(227,a,2826,a(flip),b,4134,a)]. 4204 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(227,a,2798,a(flip),b,4135,a)]. 4205 T(x / (y * (z \ (y / z))),y * (z \ 1)) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). [para(1361(a,1),4141(a,1,1,2,2))]. 4206 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(((y / x) \ x) \ 1,(y / x) \ x) * z. [para(637(a,1),4189(a,1,1))]. 4207 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x \ (1 / (x / y)),(y / x) \ x) * z. [para(3436(a,1),4206(a,2,1,1))]. 4208 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1819(a,1),4203(a,2,1))]. 4209 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(3718(a,1),4208(a,1,2,1))]. 4210 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(3542(a,1),4209(a,1,2,1))]. 4211 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1695(a,1),4204(a,2,1))]. 4212 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(3718(a,1),4211(a,1,2,1))]. 4213 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(3542(a,1),4212(a,1,2,1))]. 4214 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(3544(a,1),4213(a,1,2,1))]. 4215 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(227,a,502,a(flip),b,1479,a)]. 4216 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(2374,a,4215,a)]. 4217 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1053(a,1),4216(a,2,1,1))]. 4218 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3812(a,1),4217(a,1,2,2))]. 4219 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(588,a,4218,a),flip(a)]. 4220 K(x,(y \ 1) \ 1) = K(x,y). [hyper(227,a,741,a(flip),b,4219,a),flip(a)]. 4221 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(227,a,4084,a,b,4220,a(flip)),flip(a)]. 4222 K(x,1 / y) = K(x,y \ 1). [para(65(a,1),4220(a,1,2,1)),flip(a)]. 4223 K(x,(y * (z \ 1)) \ 1) = K(x,z / y). [para(125(a,1),4220(a,1,2,1))]. 4224 K(x,1 / (1 / y)) = K(x,y). [para(143(a,1),4220(a,1,2)),flip(a)]. 4225 1 * K(x,y \ 1) = K(x,1 / y). [hyper(227,a,11,a,b,4222,a),flip(a)]. 4227 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(227,a,2789,a,b,4222,a(flip)),flip(a)]. 4228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(72,a,4222,a(flip),b,2789,a),flip(a)]. 4230 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(4222(a,2),2225(a,1,2))]. 4232 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3840(a,1),4224(a,1,2))]. 4234 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(3649(a,1),4221(a,1,1)),flip(a)]. 4235 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(3651(a,1),4221(a,1,1))]. 4236 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(3694(a,2),4221(a,1,1))]. 4237 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4225(a,1),74(a,1)),flip(b)]. 4239 K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). [para(123(a,1),4223(a,1,2))]. 4240 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3714(a,1),4234(a,1,1))]. 4241 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(3722(a,1),4236(a,1,1,1))]. 4243 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(227,a,3960,a,b,4232,a(flip)),flip(a)]. 4244 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(227,a,1795,a,b,4240,a(flip)),flip(a)]. 4245 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [hyper(227,a,2954,a,b,4228,a)]. 4246 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(4245(a,2),282(a,1,2)),flip(b)]. 4247 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(3118,a,3117,a),flip(a)]. 4248 (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = ((y \ x) \ 1) * ((y \ x) \ 1). [para(257(a,1),996(a,2,2))]. 4249 (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = (y \ x) \ (1 / (y \ x)). [hyper(227,a,1257,a(flip),b,4248,a)]. 4250 (x \ 1) * (((y \ 1) \ 1) * ((x \ 1) * ((y \ 1) \ 1))) = (x \ y) * (x \ y). [hyper(227,a,3983,a(flip),b,4249,a)]. 4251 (x \ 1) * (((y \ 1) \ 1) * ((y \ x) \ 1)) = (x \ y) * (x \ y). [para(257(a,1),4250(a,1,2,2))]. 4252 (x \ 1) * (y * ((1 * (x \ 1)) * y)) = (x \ y) * (x \ y). [para(4001(a,1),4251(a,1,2))]. 4253 (x \ 1) * (y * ((x \ 1) * y)) = (x \ y) * (x \ y). [para(11(a,1),4252(a,1,2,2,1))]. 4254 ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = z \ (z / ((x \ y) * (x \ y))). [para(4253(a,1),997(a,1,2,2)),flip(a)]. 4255 ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = z \ (z * (((y / x) * y) \ x)). [para(3992(a,1),4254(a,2,2))]. 4256 ((x \ 1) * y) \ (((x \ 1) * y) \ 1) = ((y / x) * y) \ x. [hyper(227,a,13,a(flip),b,4255,a)]. 4257 ((x \ 1) * y) \ (y \ ((x \ 1) \ 1)) = ((y / x) * y) \ x. [para(123(a,1),4256(a,1,2))]. 4258 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1706(a,1),2215(a,2,2))]. 4259 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2213(a,1),4258(a,1,2,1,2))]. 4260 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(32(a,2),4259(a,1,2,1))]. 4261 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2920(a,1),4260(a,1,2,1)),flip(a)]. 4262 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),2293(a,1,2,1)),flip(a)]. 4263 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(1757,a,3299,a)]. 4264 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(2048(a,1),3449(a,2,1))]. 4265 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(227,a,3879,a(flip),b,4264,a)]. 4266 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(227,a,3197,a(flip),b,4265,a(flip)),flip(a)]. 4268 K(x / y,y / x) = K(y \ x,x \ y). [hyper(227,a,3447,a(flip),b,4266,a(flip)),flip(a)]. 4269 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(3536,a,4268,a)]. 4270 (x / y) * (1 / (z * (x / y))) = K(y \ x,x \ y) / z. [para(4269(a,1),3664(a,1,1)),flip(a)]. 4271 (x \ (y / z)) * (1 / (y / z)) = x \ K(z \ y,y \ z). [para(4269(a,1),3683(a,1,2)),flip(a)]. 4272 ((1 / x) * y) * (T(((y / x) \ 1) \ 1,y) \ z) = K(x \ y,y \ x) * z. [para(4269(a,1),3896(a,2,1))]. 4273 (x * (y \ 1)) * ((y / x) / z) = K(x \ y,y \ x) / z. [hyper(227,a,3363,a,b,4270,a(flip)),flip(a)]. 4274 x \ K(x \ (x * y),(x * y) \ x) = (y * (x \ 1)) * (1 / ((x * y) / x)). [para(1258(a,1),4271(a,1,1)),flip(a)]. 4275 ((1 / x) * y) * (((y \ x) \ 1) \ z) = K(x \ y,y \ x) * z. [para(1605(a,1),4272(a,1,2,1))]. 4276 (x * (y \ 1)) * (1 / ((y * x) / y)) = y \ K(x,(y * x) \ y). [para(13(a,1),4274(a,1,2,1)),flip(a)]. 4278 (x * (y \ 1)) * (1 / ((y * x) / y)) = y \ K(x,x \ 1). [para(3525(a,1),4276(a,2,2))]. 4279 (x * (y \ 1)) * (1 / ((y * x) / y)) = (y \ x) * (1 / x). [hyper(227,a,3683,a(flip),b,4278,a)]. 4281 (x * (y \ 1)) * ((y / x) / y) = (y \ x) * (1 / x). [para(1288(a,1),4279(a,1,2))]. 4282 K(x \ y,y \ x) / y = (y \ x) * (1 / x). [hyper(227,a,4273,a(flip),b,4281,a(flip)),flip(a)]. 4283 ((x \ y) * (1 / y)) * x = K(y \ x,x \ y). [para(4282(a,1),16(a,1,1))]. 4284 ((x \ y) * (1 / y)) * x != z | K(y \ x,x \ y) = z. [para(4282(a,1),207(a,1,1)),flip(b)]. 4285 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(1793(a,1),3648(a,1,2,1))]. 4286 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(4073(a,1),4285(a,1,1))]. 4287 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(4286(a,1),16(a,1,1))]. 4288 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(4287(a,1),3698(a,1,2))]. 4289 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(282,a,4288,a)]. 4291 L(K(x,1 / y),T(z,u) / z,K(z \ 1,z)) = K(x,y \ 1). [hyper(227,a,4222,a(flip),b,4289,a)]. 4292 (((x \ y) \ 1) \ 1) \ (((1 / z) \ ((1 / y) * x)) \ 1) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). [para(1064(a,1),3833(a,1,1))]. 4293 K(x \ ((y / x) \ z),x \ ((x / z) * y)) / (x \ ((x / z) * y)) = T((x \ ((x / z) * y)) \ 1,1). [hyper(73,a,4132,a(flip),b,1194,a)]. 4294 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = ((1 / ((1 / (x * y)) * x)) * (1 / x)) * (x * y). [para(325(a,1),4179(a,2,1,1))]. 4295 (((x \ y) \ 1) \ 1) \ ((z / (x \ y)) \ 1) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). [para(342(a,1),4292(a,1,2,1))]. 4296 (((x \ y) \ 1) \ 1) \ ((x \ y) * (z \ 1)) = ((1 / y) * x) * ((((x \ y) / z) \ 1) \ 1). [para(125(a,1),4295(a,1,2))]. 4297 ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = K(y \ x,(y \ x) \ 1) * (z \ 1). [hyper(227,a,3678,a(flip),b,4296,a(flip))]. 4298 ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = K(y \ x,x \ y) * (z \ 1). [para(3526(a,1),4297(a,2,1))]. 4299 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = ((1 / (1 / y)) * (1 / x)) * (x * y). [para(335(a,1),4294(a,2,1,1,2))]. 4301 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (1 / (x / y)) * (x * y). [para(351(a,1),4299(a,2,1))]. 4302 (x * ((y \ x) \ 1)) * L(((x * y) \ x) \ 1,z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). [para(970(a,1),1775(a,1,1))]. 4303 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(4030(a,1),3847(a,1,1))]. 4304 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(1706(a,1),4303(a,2,1,2))]. 4305 (x * ((y \ x) \ 1)) * L(x * ((y \ x) \ 1),z,u) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). [para(970(a,1),4302(a,1,2,1))]. 4306 x * (((y \ x) \ 1) * L(x * ((y \ x) \ 1),z,u)) = ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u). [hyper(2375,a,4305,a)]. 4307 ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = x * ((y \ x) \ L(x / (y \ x),z,u)). [para(1694(a,1),4306(a,1,2)),flip(a)]. 4308 ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = x * ((y \ x) \ L(y,z,u)). [para(62(a,1),4307(a,2,2,2,1))]. 4309 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(4227(a,1),2911(a,1,1)),flip(a)]. 4310 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(227,a,1858,a(flip),b,4309,a)]. 4311 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(227,a,3157,a,b,4310,a(flip)),flip(a)]. 4312 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(227,a,42,a,b,4311,a(flip)),flip(a)]. 4313 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(3243(a,1),4312(a,1,1)),flip(a)]. 4314 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(72,a,1910,a,b,4313,a)]. 4316 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(227,a,1689,a(flip),b,4314,a(flip)),flip(a)]. 4317 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(4314(a,1),3043(a,1,1)),flip(a)]. 4318 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(227,a,4227,a,b,4316,a),flip(a)]. 4319 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2880(a,2),4318(a,1,2))]. 4320 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(4317(a,1),4140(a,1))]. 4321 K(x \ ((x / y) * z),((x / y) * z) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [hyper(227,a,3668,a(flip),b,3364,a(flip)),flip(a)]. 4322 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3602(a,1),3639(a,1,2)),flip(a)]. 4323 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(4322(a,2),474(a,1))]. 4324 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(3675(a,1),3682(a,1,2)),flip(a)]. 4325 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(4324(a,2),506(a,1))]. 4326 ((x / (x \ (y * (z * x)))) \ x) * ((x \ y) * L(z,x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(2148(a,1),2150(a,1,1,1))]. 4327 ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))) = (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)). [hyper(615,a,4326,a),flip(a)]. 4330 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(3708(a,1),2428(a,1,2,2,2)),flip(a)]. 4331 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(3561(a,1),4330(a,1,1)),flip(a)]. 4332 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(227,a,3655,a,b,4331,a),flip(a)]. 4334 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(4332(a,2),4022(a,1,2))]. 4335 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3699(a,1),4334(a,1,2))]. 4336 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(4335(a,1),4028(a,1,1,2))]. 4337 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(227,a,4027,a(flip),b,4336,a(flip))]. 4338 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(15(a,1),4337(a,1,2)),flip(a)]. 4339 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(2563(a,1),4338(a,1,2))]. 4340 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(3681(a,1),4339(a,1,2))]. 4341 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3617(a,1),4340(a,1,2))]. 4342 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(227,a,469,a(flip),b,2834,a)]. 4343 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(177(a,1),4342(a,2,2))]. 4344 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(3085(a,1),3110(a,1,2,1,1))]. 4345 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3692(a,1,1,1))]. 4347 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(4345(a,1),20(a,1)),flip(a)]. 4348 T((x \ 1) \ T(x,x \ 1),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [para(1519(a,2),1458(a,1,1))]. 4349 ((1 / (x / y)) \ ((z \ 1) \ 1)) \ ((y * (x \ 1)) \ z) = ((1 \ ((y * (x \ 1)) \ z)) \ 1) * ((y * (x \ 1)) \ z). [para(123(a,1),1730(a,1,1))]. 4350 ((((x \ y) \ z) * (1 / z)) \ 1) * (1 / ((z \ 1) \ (x \ y))) = ((x / z) \ ((1 / y) \ z)) \ ((z \ 1) \ (x \ y)). [para(2113(a,1),2190(a,1,1,1))]. 4351 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(4029(a,1),3181(a,1,2)),flip(a)]. 4352 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(227,a,4117,a(flip),b,4351,a)]. 4353 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(4352(a,1),3180(a,1,1)),flip(a)]. 4354 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3140(a,1),4353(a,1,2))]. 4355 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(2208(a,2),4354(a,1,2)),flip(a)]. 4356 1 / (x \ K(y,x)) = K(y,x) \ x. [para(4355(a,1),62(a,1,2))]. 4357 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1907(a,1),3316(a,2,1))]. 4358 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(227,a,1909,a(flip),b,4357,a)]. 4360 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1909(a,1),4358(a,1,1))]. 4361 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,4360,a)]. 4362 T(T((x \ 1) \ x,x),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [para(771(a,2),4348(a,1,1,1))]. 4363 T(T(x * x,x),x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [para(705(a,1),4362(a,1,1,1,1))]. 4364 (x * x) \ T(((T(x,x \ 1) * y) / T(x,x \ 1)) * x,x \ 1) = y / T(x,x \ 1). [para(1237(a,1),4363(a,1,1))]. 4365 (x * x) \ T(((x * y) / x) * x,x \ 1) = y / T(x,x \ 1). [para(3618(a,1),4364(a,1,2,1,1))]. 4366 (x * x) \ T(x * y,x \ 1) = y / T(x,x \ 1). [para(16(a,1),4365(a,1,2,1))]. 4367 x / T(y,y \ 1) = y \ T(x,y \ 1). [hyper(227,a,3349,a(flip),b,4366,a(flip))]. 4369 ((1 \ ((x * (y \ 1)) \ z)) \ 1) * ((x * (y \ 1)) \ z) = ((y / x) / (1 / z)) \ ((x * (y \ 1)) \ z). [para(1066(a,1),4349(a,1,1)),flip(a)]. 4370 (((x * (y \ 1)) \ z) \ 1) * ((x * (y \ 1)) \ z) = ((y / x) / (1 / z)) \ ((x * (y \ 1)) \ z). [para(50(a,1),4369(a,1,1,1))]. 4371 K((x \ 1) * (1 / (y / z)),(z * (y \ 1)) \ x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). [hyper(227,a,1729,a,b,4370,a(flip)),flip(a)]. 4372 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). [para(1123(a,1),4370(a,1,1))]. 4373 ((1 / x) \ (((y \ z) \ x) \ 1)) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(123(a,1),4350(a,1,1))]. 4374 (x * (((x \ (y \ z)) \ 1) \ 1)) * (1 / ((x \ 1) \ (y \ z))) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(3825(a,1),4373(a,1,1))]. 4375 (x * (((x \ (y \ z)) \ 1) \ 1)) * ((1 / (y \ z)) * (x \ 1)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(313(a,1),4374(a,1,2))]. 4376 (x * (((x \ (y \ z)) \ 1) \ 1)) * (((1 / z) * y) * (x \ 1)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(313(a,1),4375(a,1,2,1))]. 4377 (((x * (y * z)) \ (x * y)) * ((x * (y * z)) \ (x * y))) * u != w * (((x * y) \ (x * (y * z))) \ u) | L(z,y,x) \ 1 = w. [para(3987(a,2),20(a,1))]. 4378 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(65(a,1),4003(a,1,1,3))]. 4379 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(3573(a,1),4378(a,1,1))]. 4380 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(227,a,4039,a(flip),b,4040,a)]. 4381 T(x / y,x) \ (((1 / y) * (x * ((1 / y) * x))) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). [para(940(a,1),3307(a,1,2,1))]. 4382 ((x \ (y \ 1)) \ z) / T(x \ (y \ 1),z) = (1 / (y * x)) \ ((x \ (y \ 1)) \ z). [para(4185(a,1),3440(a,1,2))]. 4383 ((x \ (y \ 1)) \ z) / T(x \ (y \ 1),z) = (y * x) * ((y * x) * z). [hyper(227,a,1420,a(flip),b,4382,a)]. 4384 ((1 / x) * (y * (z \ 1))) * (1 * ((((y * (z \ 1)) \ x) \ 1) \ 1)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(313(a,1),3703(a,1,1))]. 4385 T(x / y,x) \ (((1 / y) * ((x / y) * x)) * ((((1 / y) * x) \ 1) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). [para(624(a,1),4381(a,1,2,1,2))]. 4386 T(x / y,x) \ (((1 / y) * ((x / y) * x)) * ((x \ y) \ z)) = ((1 / y) * x) * (((1 / y) * x) * z). [para(250(a,1),4385(a,1,2,2,1))]. 4387 T(x / y,x) \ (((x \ y) \ 1) * ((x \ y) \ ((x \ y) \ z))) = ((1 / y) * x) * (((1 / y) * x) * z). [para(2570(a,1),4386(a,1,2))]. 4388 (((x \ y) \ 1) \ 1) \ ((x \ y) \ z) = ((1 / y) * x) * (((1 / y) * x) * z). [hyper(227,a,3310,a(flip),b,4387,a(flip)),flip(a)]. 4389 ((x \ y) \ 1) * (((x \ y) \ 1) * z) = ((1 / y) * x) * (((1 / y) * x) * z). [hyper(227,a,3380,a(flip),b,4388,a(flip)),flip(a)]. 4390 ((1 / x) * (y * (z \ 1))) * (1 * (((x \ 1) * (1 / (z / y))) \ 1)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(1123(a,1),4384(a,1,2,2,1))]. 4391 ((1 / x) * (y * (z \ 1))) * (1 * ((1 / (z / y)) \ ((x \ 1) \ 1))) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(123(a,1),4390(a,1,2,2))]. 4392 ((1 / x) * (y * (z \ 1))) * (1 * ((z / y) / (1 / x))) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(1066(a,1),4391(a,1,2,2))]. 4393 ((1 / x) * (y * (z \ 1))) * ((z / y) / (1 / x)) = ((x \ 1) * (1 / (z / y))) * ((y * (z \ 1)) \ x). [para(11(a,1),4392(a,1,2))]. 4394 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(109(a,1),2731(a,1,1,1,2,2)),flip(a)]. 4395 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(227,a,1491,a(flip),b,4394,a)]. 4396 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(227,a,4035,a(flip),b,4395,a)]. 4397 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(1491(a,1),4396(a,1,1))]. 4398 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2778(a,1),4397(a,2,1))]. 4399 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,109,a,b,4398,a)]. 4400 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(14(a,1),4399(a,1,2,1)),flip(a)]. 4401 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(227,a,2255,a,b,4400,a)]. 4402 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(732(a,1),4401(a,1,1,2,1))]. 4403 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(4227(a,1),4402(a,1,1))]. 4404 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(30(a,2),2762(a,2,2,1,1))]. 4405 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(2777(a,1),4404(a,1,1))]. 4406 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(2830(a,1),4405(a,1,1,1))]. 4407 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(506,a,4406,a),flip(a)]. 4408 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(28(a,2),2780(a,2,2,1,1))]. 4409 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1809(a,1),4408(a,1,2))]. 4410 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1633(a,1),4409(a,1,2,2))]. 4411 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(474,a,4410,a),flip(a)]. 4413 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(812(a,1),4411(a,1,2))]. 4414 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(12(a,1),4413(a,1,2,2)),flip(a)]. 4415 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(4111(a,1),4414(a,1,1)),flip(a)]. 4416 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(30(a,2),2823(a,2,2,1,1))]. 4417 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(2776(a,1),4416(a,1,1))]. 4418 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(2801(a,1),4417(a,1,1,1))]. 4419 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(506,a,4418,a),flip(a)]. 4420 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1344(a,1),4419(a,1,2))]. 4421 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(12(a,1),4420(a,1,2,2)),flip(a)]. 4422 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(4319(a,1),4421(a,1,1)),flip(a)]. 4423 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(4316(a,1),4422(a,2,1))]. 4424 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(227,a,4403,a(flip),b,4423,a)]. 4425 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,2255,a(flip),b,4424,a)]. 4426 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(227,a,2140,a,b,4425,a(flip)),flip(a)]. 4427 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(4426(a,1),62(a,1,2)),flip(a)]. 4428 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(62(a,1),4426(a,1,1,1,2)),flip(a)]. 4429 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(139(a,1),4426(a,1,1,1)),flip(a)]. 4430 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(1609(a,1),4426(a,1,1,1))]. 4431 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(62(a,1),4427(a,1,1,2)),flip(a)]. 4432 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(4428(a,1),65(a,1,1))]. 4433 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(4429(a,1),65(a,1,1)),flip(a)]. 4434 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(4431(a,1),1544(a,1,2))]. 4435 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(512(a,1),4433(a,2,1,1))]. 4436 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(4433(a,2),1543(a,1,2))]. 4437 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(3572(a,1),4433(a,2,1,1))]. 4438 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(4433(a,2),1645(a,1,1))]. 4439 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(2287(a,1),4434(a,1,2,1)),flip(a)]. 4440 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(851(a,1),4430(a,1,1)),flip(a)]. 4441 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(227,a,3580,a,b,4437,a(flip)),flip(a)]. 4442 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3116(a,1),4439(a,1,2,1)),flip(a)]. 4443 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(215,a,4438,a),flip(a)]. 4444 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(1576(a,1),4443(a,2,1))]. 4445 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(227,a,4263,a(flip),b,4444,a(flip)),flip(a)]. 4446 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(227,a,1755,a(flip),b,4444,a(flip)),flip(a)]. 4447 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(4433(a,2),4446(a,1,1))]. 4448 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3462(a,1),4447(a,2,1))]. 4449 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(4435(a,1),4448(a,1,1))]. 4450 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3462(a,1),4445(a,2,1))]. 4451 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),4449(a,1,2,1))]. 4452 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1046,a,4451,a),flip(a)]. 4454 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(100(a,1),2900(a,1,2,1,2,1))]. 4455 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(2330,a,4454,a),flip(a)]. 4456 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(2897(a,1),4455(a,2,2))]. 4457 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(464,a,4456,a),flip(a)]. 4458 (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). [hyper(78,a,4456,a)]. 4459 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(14(a,1),4457(a,1,2,1)),flip(a)]. 4460 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(227,a,2255,a,b,4459,a)]. 4461 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(2787(a,1),4460(a,1,1))]. 4462 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(227,a,4415,a,b,4461,a(flip)),flip(a)]. 4463 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,2255,a(flip),b,4462,a)]. 4464 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(227,a,2752,a,b,4463,a(flip)),flip(a)]. 4465 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(4464(a,1),62(a,1,2)),flip(a)]. 4466 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(62(a,1),4464(a,1,1,1,2)),flip(a)]. 4467 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. [para(3268(a,1),4464(a,1,1,1)),flip(a)]. 4469 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(219(a,1),4465(a,2,2,2))]. 4470 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(4465(a,2),4045(a,1,2))]. 4471 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(4466(a,1),65(a,1,1))]. 4472 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(62(a,1),4471(a,1,1,1,1)),flip(a)]. 4474 x \ (1 / (x * (L(1 / y,z,u) \ 1))) = (L(y \ 1,z,u) \ x) \ (1 / x). [para(4471(a,1),3861(a,1,1,1)),flip(a)]. 4475 (x \ 1) * L((y \ 1) \ 1,z,u) = (L(y,z,u) \ x) \ 1. [para(4472(a,2),257(a,1,2))]. 4476 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(479(a,1),4472(a,2,1,1))]. 4478 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [hyper(2406,a,4475,a),flip(a)]. 4479 L(L((x \ 1) \ 1,y,z),u,u) = u * ((L(x,y,z) \ u) \ 1). [para(4475(a,1),1389(a,1,2)),flip(a)]. 4480 ((x \ y) \ 1) * L((x \ 1) \ 1,z,u) = (x \ (L(x,z,u) \ y)) \ 1. [para(2398(a,1),4475(a,2,1))]. 4481 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(4478(a,1),62(a,1,2))]. 4482 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [hyper(316,a,4481,a)]. 4483 x / L(x,y,z) = L(x,y,z) \ x. [hyper(820,a,4482,a)]. 4484 (L(x,y,z) \ x) * L(x,y,z) = x. [para(4483(a,1),16(a,1,1))]. 4485 (x \ ((L(x,y,z) \ x) * u)) \ 1 = x \ ((u / x) \ L(x,y,z)). [para(4483(a,1),1592(a,1,1,2,1))]. 4486 (x \ 1) * (L(x,y,z) \ x) = x * (1 / (L(x,y,z) * x)). [para(4483(a,1),3358(a,1,2))]. 4487 (x \ 1) * (L(x,y,z) \ x) = x * (1 / (x * L(x,y,z))). [para(265(a,1),4486(a,2,2,2))]. 4488 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(4469(a,1),100(a,1,2))]. 4489 L((x * (y \ 1)) \ x,z,u) = x * ((L(y,z,u) \ x) \ 1). [hyper(227,a,1304,a(flip),b,4479,a(flip)),flip(a)]. 4490 L(x * ((y \ x) \ 1),z,u) = x * ((L(y,z,u) \ x) \ 1). [para(1220(a,1),4489(a,1,1))]. 4491 L(x * ((y \ x) \ 1),z \ y,z) = x * ((y \ x) \ 1). [para(953(a,1),4490(a,2,2,1,1))]. 4492 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(3249(a,2),4476(a,1,1))]. 4493 (x \ 1) \ L(1 / (x \ 1),y,z) = (x \ (L(x,y,z) \ 1)) \ 1. [hyper(227,a,1738,a(flip),b,4480,a(flip)),flip(a)]. 4494 (x \ (L(x,y,z) \ 1)) \ 1 = (x \ 1) \ L(x,y,z). [para(62(a,1),4493(a,1,2,1)),flip(a)]. 4495 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(227,a,865,a(flip),b,4492,a(flip)),flip(a)]. 4496 (L(x \ 1,y,z) \ u) \ (1 / u) = u \ (L(1 / x,y,z) / u). [para(263(a,1),4474(a,1,2)),flip(a)]. 4497 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. [para(4470(a,1),209(a,1))]. 4498 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. [para(4458(a,1),474(a,1))]. 4499 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(136(a,1),3891(a,1,2,2,2,2))]. 4500 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(4497,a,4499,a),flip(a)]. 4502 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(4488(a,1),4500(a,2,2))]. 4503 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(52(a,1),4502(a,2,2,2,2,2,2,2))]. 4505 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(62(a,1),4503(a,2,2,2,2,2))]. 4506 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(2255(a,2),4505(a,2,2,2))]. 4507 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(4506(a,1),19(a,1)),flip(a)]. 4508 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / y) \ T((x \ 1) \ 1,y)). [para(1601(a,1),2104(a,2,2,2))]. 4509 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((1 / ((x \ 1) \ 1)) \ y). [para(805(a,1),4508(a,2,2))]. 4510 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = (((1 / y) * (x \ 1)) \ z) * ((x \ 1) \ y). [para(62(a,1),4509(a,2,2,1))]. 4511 ((T(x,y) \ 1) * (1 / y)) \ (z / ((T(x,y) \ 1) * (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). [hyper(227,a,623,a(flip),b,4510,a)]. 4513 ((1 / x) * (y \ 1)) \ (z / ((T(y,x) \ 1) * (1 / x))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). [para(1574(a,1),4511(a,1,1))]. 4514 ((1 / x) * (y \ 1)) \ (z / ((1 / x) * (y \ 1))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). [para(1574(a,1),4513(a,1,2,2))]. 4515 ((1 / x) * (y \ 1)) \ ((1 / z) \ (y / (1 / x))) = ((y \ 1) \ x) * (z * ((y \ 1) \ x)). [para(341(a,1),4514(a,1,2))]. 4516 (x / (1 / y)) * (((1 / z) \ 1) * (x / (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). [hyper(227,a,3860,a(flip),b,4515,a(flip)),flip(a)]. 4517 (x / (1 / y)) * (z * (x / (1 / y))) = ((x \ 1) \ y) * (z * ((x \ 1) \ y)). [para(65(a,1),4516(a,1,2,1))]. 4519 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(4262(a,1),2207(a,1,1,2))]. 4520 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(16(a,1),4519(a,1,1,2))]. 4522 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(731(a,1),4520(a,1,1)),flip(a)]. 4524 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(4522(a,1),4150(a,1,1))]. 4525 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(72,a,4524,a(flip),b,3006,a)]. 4526 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(4246,a,4525,a),flip(a)]. 4527 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(4526(a,1),3267(a,1,1))]. 4528 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(4320,a,4527,a)]. 4529 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(227,a,4075,a,b,4528,a(flip)),flip(a)]. 4530 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(4528(a,1),4128(a,1,1))]. 4531 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(4529(a,1),14(a,1,2))]. 4532 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(227,a,4427,a(flip),b,4531,a)]. 4533 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(17,a,2009,a,b,4532,a),flip(a)]. 4534 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1444,a,b,4532,a),flip(a)]. 4535 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(4533(a,1),331(a,1))]. 4536 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(4533(a,1),4450(a,1,1))]. 4537 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(226(a,1),4534(a,1,1,1)),flip(a)]. 4538 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(4536(a,1),20(a,1))]. 4539 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(4017(a,1),4536(a,1,1))]. 4540 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(4017(a,1),4530(a,1,1)),flip(a)]. 4541 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2286(a,1),4539(a,2,1,2))]. 4543 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(227,a,4534,a(flip),b,4540,a(flip))]. 4544 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(227,a,4017,a(flip),b,4543,a)]. 4545 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(4544(a,1),109(a,1,1)),flip(a)]. 4546 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(464,a,4545,a)]. 4547 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,4541,a(flip),b,4545,a)]. 4548 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,3087,a,b,4547,a)]. 4551 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(4548(a,1),4541(a,1,1)),flip(a)]. 4552 L(x,y,K(z,z \ 1)) = x. [para(4548(a,1),4546(a,1,3))]. 4555 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(227,a,4344,a,b,4552,a(flip)),flip(a)]. 4556 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(227,a,102,a(flip),b,4552,a(flip)),flip(a)]. 4558 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(4552(a,1),100(a,1,2))]. 4559 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(4552(a,1),523(a,1,2))]. 4560 (K(x,x \ 1) * y) * z != u | K(x,x \ 1) * (y * z) = u. [para(4552(a,1),209(a,1,2))]. 4561 K(x,x \ 1) * y != (K(x,x \ 1) * z) * u | z * u = y. [para(4552(a,1),456(a,1,2)),flip(a)]. 4562 L(x,y,K(z \ 1,z)) = x. [para(2254(a,1),4552(a,1,3))]. 4563 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(4552(a,1),2280(a,1,2))]. 4564 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(4552(a,1),2283(a,1,2)),flip(a)]. 4565 L(x,y,K(z \ u,u \ z)) = x. [para(3526(a,1),4552(a,1,3))]. 4567 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(4323,a,4562,a),flip(a)]. 4570 L(x,y,K(z \ 1,z)) = u \ (u * x). [hyper(227,a,13,a,b,4562,a)]. 4572 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(4562(a,1),100(a,1,2))]. 4573 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(4562(a,1),523(a,1,2))]. 4574 K(x \ 1,x) * y != (K(x \ 1,x) * z) * u | z * u = y. [para(4562(a,1),456(a,1,2)),flip(a)]. 4575 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(4562(a,1),3114(a,1,2))]. 4577 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(4565(a,1),100(a,1,2))]. 4578 K(x \ y,y \ x) * z != (K(x \ y,y \ x) * u) * w | u * w = z. [para(4565(a,1),456(a,1,2)),flip(a)]. 4579 L(x \ (y / z),x,y \ 1) = (x \ y) / z. [hyper(1814,a,4567,a),flip(a)]. 4580 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(227,a,3615,a,b,4567,a(flip)),flip(a)]. 4581 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(62(a,1),4567(a,1,3)),flip(a)]. 4582 L(x,y,(z * (u \ 1)) \ 1) = L(x,y,u / z). [para(263(a,1),4567(a,1,3)),flip(a)]. 4583 L(x,y,(z \ u) \ 1) = L(x,y,(1 / u) * z). [para(313(a,1),4567(a,1,3)),flip(a)]. 4584 L(x,y,(z * (u \ z)) \ 1) = L(x,y,(z \ u) * (1 / z)). [para(1432(a,1),4567(a,1,3)),flip(a)]. 4585 L(x,y,K(z \ 1,z)) != u | u = x. [para(4570(a,2),282(a,1))]. 4588 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | y \ z = u. [para(102(a,1),4585(a,1)),flip(b)]. 4589 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(4247(a,2),4585(a,1)),flip(b)]. 4590 K(x,y \ 1) != z | K(x,1 / y) = z. [para(4291(a,1),4585(a,1)),flip(b)]. 4594 L(x \ y,x,z \ 1) = (x \ z) / (y \ z). [para(62(a,1),4579(a,1,1,2))]. 4595 ((x \ 1) * y) \ ((x \ 1) * z) = (y \ x) / (z \ x). [hyper(227,a,102,a(flip),b,4594,a(flip)),flip(a)]. 4596 (x \ y) / ((x * z) \ y) = L(z,x,y \ 1). [para(13(a,1),4594(a,1,1)),flip(a)]. 4597 x / ((y * z) \ (y * x)) = L(z,y,(y * x) \ 1). [para(13(a,1),4596(a,1,1))]. 4598 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(227,a,3087,a(flip),b,4563,a)]. 4600 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(3093,a,4564,a)]. 4601 L(x,y,z / (1 / u)) = L(x,y,(z \ 1) \ u). [para(250(a,1),4582(a,1,3)),flip(a)]. 4602 L(x,y,z \ (1 / (z / u))) = L(x,y,(1 / z) * (u / z)). [para(3436(a,1),4583(a,1,3))]. 4603 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(65(a,1),4598(a,1,2)),flip(a)]. 4604 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(765(a,1),4600(a,1,1)),flip(a)]. 4605 x / ((y * z) \ (y * x)) = L(z,y,x \ (y \ 1)). [para(123(a,1),4597(a,2,3))]. 4606 L(a(x,y,z),x * (y * z),u \ ((x * (y * z)) \ 1)) = u / (((x * y) * z) \ ((x * (y * z)) * u)). [para(89(a,1),4605(a,1,2,1)),flip(a)]. 4608 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(73,a,4551,a(flip),b,109,a)]. 4609 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(3737(a,1),4551(a,1,1)),flip(a)]. 4612 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(4555(a,1),1851(a,1,1)),flip(a)]. 4613 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(3720(a,1),4556(a,1,1)),flip(a)]. 4615 K(x,x \ 1) * ((y \ 1) * z) = ((y \ x) * (1 / x)) * z. [para(3676(a,1),4558(a,1,1)),flip(a)]. 4616 (x * (1 / (y * x))) * (K(x,x \ 1) * (y * z)) = L(z,x * (1 / (y * x)),x * (1 / (y * x))). [para(4558(a,1),3674(a,1,2))]. 4617 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(3087(a,1),4559(a,1,1))]. 4618 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(4572(a,1),30(a,2,1,1)),flip(a)]. 4619 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(3729(a,1),4572(a,1,1)),flip(a)]. 4620 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1865(a,1),4573(a,1,1)),flip(a)]. 4621 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(190(a,1),4620(a,1,2)),flip(a)]. 4622 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(4538,a,4575,a)]. 4623 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(4575(a,1),28(a,2,1)),flip(a)]. 4624 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(4575(a,1),474(a,1,2,2))]. 4625 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(4535,a,4622,a)]. 4626 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(226(a,1),4622(a,1,2)),flip(a)]. 4627 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(4622(a,1),816(a,1,2))]. 4630 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(4625(a,1),3881(a,1,2))]. 4631 (((1 / x) \ 1) * (1 / y)) \ (((1 / x) \ 1) * z) = (y / x) / (z \ (1 / x)). [para(339(a,1),4595(a,2,1))]. 4632 ((((x \ y) \ 1) \ 1) * (y \ 1)) \ ((((x \ y) \ 1) \ 1) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [para(260(a,1),4595(a,2,1))]. 4633 (((x / y) \ 1) * (x * x)) \ (((x / y) \ 1) * z) = (1 / (y * x)) / (z \ (x / y)). [para(1009(a,1),4595(a,2,1))]. 4634 (((x / y) \ 1) * (y \ 1)) \ (((x / y) \ 1) * z) = (y * (x * (1 / y))) / (z \ (x / y)). [para(3379(a,1),4595(a,2,1))]. 4635 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(227,a,3091,a(flip),b,4617,a(flip))]. 4637 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) != u | y / (z * K(x \ 1,x)) = u. [para(4617(a,1),3759(a,1,1))]. 4639 L(x,y,z \ (1 / (z / u))) = L(x,y,(z \ u) / z). [para(637(a,1),4602(a,2,3))]. 4640 K(x,x \ 1) * y != ((z \ x) * (1 / x)) * u | (z \ 1) * u = y. [para(4615(a,1),19(a,1)),flip(a)]. 4641 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,3636,a,b,4627,a),flip(a)]. 4643 R(x,y,z) / x = x \ R(x,y,z). [hyper(1416,a,4641,a)]. 4644 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [para(4641(a,1),250(a,1,1))]. 4645 x \ R(x,y,z) != u | R(x,y,z) / x = u. [para(4641(a,1),1416(a,1))]. 4646 (x \ R(x,y,z)) * x = R(x,y,z). [para(4643(a,1),16(a,1,1))]. 4647 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(4643(a,1),520(a,1,1))]. 4648 T(x,x \ R(x,y,z)) = x. [hyper(269,a,4646,a)]. 4649 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(817,a,4644,a)]. 4650 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(406,a,4649,a)]. 4651 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,4650,a)]. 4652 x \ (K(y \ 1,y) * z) != u | (K(y,y \ 1) * x) \ z = u. [para(3717(a,1),4588(a,1,1))]. 4653 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(3454(a,1),4577(a,1,1))]. 4654 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(18,a,3632,a,b,4630,a)]. 4655 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(227,a,4649,a(flip),b,4654,a)]. 4656 x / R(x,y,z) = R(x,y,z) \ x. [hyper(350,a,4655,a)]. 4657 (R(x,y,z) \ x) * R(x,y,z) = x. [para(4656(a,1),16(a,1,1))]. 4658 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4647(a,2),1604(a,1,1,1,1))]. 4659 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(4653(a,2),150(a,1)),flip(b)]. 4660 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(227,a,4559,a(flip),b,4608,a(flip)),flip(a)]. 4661 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(4572(a,1),4618(a,1,1))]. 4662 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(227,a,4573,a(flip),b,4661,a(flip)),flip(a)]. 4663 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),4662(a,1,2)),flip(a)]. 4664 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(227,a,4210,a(flip),b,4663,a)]. 4665 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(3723,a,4663,a(flip))]. 4666 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(4663(a,2),3732(a,1,2)),flip(b)]. 4667 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(3717(a,1),4665(a,1,2,1)),flip(a)]. 4668 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(227,a,3087,a(flip),b,4667,a)]. 4669 (x * (1 / y)) \ (((1 / x) \ 1) * z) = (y / x) / (z \ (1 / x)). [para(65(a,1),4631(a,1,1,1))]. 4670 (x / y) / (z \ (1 / y)) = (y * (1 / x)) \ (y * z). [para(65(a,1),4669(a,1,2,1)),flip(a)]. 4673 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(3726(a,1),4664(a,1,1)),flip(a)]. 4674 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(85,a,4673,a)]. 4675 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),4673(a,1,1,2,1)),flip(a)]. 4676 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),4674(a,1,1,1)),flip(a)]. 4677 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(512(a,1),4675(a,2,1,2))]. 4678 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(3572(a,1),4675(a,2,1,2))]. 4679 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4676(a,1),14(a,1,2)),flip(a)]. 4680 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4679(a,2),4380(a,1,1))]. 4681 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(73,a,4677,a(flip),b,184,a)]. 4682 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(227,a,4304,a(flip),b,4678,a(flip))]. 4683 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(73,a,4678,a(flip),b,3574,a),flip(a)]. 4684 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4678(a,1),4379(a,1,1)),flip(a)]. 4685 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),4682(a,1,1)),flip(a)]. 4686 x * (y \ T(y,x)) = (y * x) / y. [hyper(85,a,4685,a),flip(a)]. 4687 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(73,a,14,a(flip),b,4685,a),flip(a)]. 4688 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,113,a(flip),b,4685,a)]. 4689 (x \ T(x,y)) * y = (x * y) / x. [hyper(2946,a,4686,a)]. 4690 x \ ((y * x) / y) = y \ T(y,x). [hyper(78,a,4686,a)]. 4691 ((x * y) / x) * (T(x,y) \ x) = y. [hyper(18,a,3290,a,b,4686,a),flip(a)]. 4692 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,2958,a,b,4686,a),flip(a)]. 4693 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,2955,a,b,4686,a),flip(a)]. 4694 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(4686(a,1),1627(a,1,2))]. 4695 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3140(a,1),4686(a,1,2)),flip(a)]. 4696 (T(x,y) \ x) * ((x * y) / x) = y. [para(4686(a,1),3187(a,1,2))]. 4697 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4686(a,1),4056(a,1,1))]. 4698 ((x * y) / x) \ y = T(x,y) \ x. [para(4686(a,1),4091(a,1,1))]. 4699 T(x,y) * (y \ T(y,x)) = x. [para(1938(a,1),4688(a,1,2,2))]. 4700 T(x,T(y,x)) \ x = y \ T(y,x). [para(4688(a,1),4091(a,1,1)),flip(a)]. 4701 T(x,y) \ x = y \ T(y,x). [hyper(78,a,4699,a)]. 4703 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(227,a,3159,a,b,4701,a),flip(a)]. 4704 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(227,a,3140,a(flip),b,4701,a)]. 4705 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(4701(a,2),3144(a,1))]. 4707 (x * y) / x = y * (T(y,x) \ y). [para(4701(a,2),4686(a,1,2)),flip(a)]. 4708 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4690(a,1),2743(a,1,1)),flip(a)]. 4709 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(4347,a,4696,a)]. 4710 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4698(a,1),2441(a,1,2,2,1))]. 4711 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4700(a,2),4686(a,1,2)),flip(a)]. 4712 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(2314,a,4707,a),flip(a)]. 4713 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(2313,a,4707,a)]. 4714 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(72,a,224,a(flip),b,4707,a(flip)),flip(a)]. 4715 T(x * (T(x,y) \ x),y) = x. [para(4707(a,1),160(a,1,1))]. 4716 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4707(a,1),1286(a,1,1))]. 4717 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(4707(a,1),1286(a,2,2)),flip(a)]. 4718 T(x * (T(x,y) \ x),y) = L(R(x,z,x),z,x). [hyper(227,a,2481,a,b,4715,a)]. 4720 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),4687(a,1,2,2))]. 4721 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4703(a,2),1086(a,1,1))]. 4723 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4704(a,2),2625(a,1,1))]. 4724 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(78,a,4720,a)]. 4726 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(62(a,1),4721(a,1,1,1,2)),flip(a)]. 4727 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(227,a,3135,a(flip),b,4708,a)]. 4728 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3962,a,4727,a),flip(a)]. 4729 x * ((y * (x \ 1)) / y) = T(y,x \ 1) / y. [hyper(73,a,4727,a(flip),b,3953,a(flip)),flip(a)]. 4730 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3952(a,1),4727(a,1,2))]. 4731 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(227,a,4058,a(flip),b,4730,a(flip)),flip(a)]. 4732 T(x,x / (x * y)) = T(x,y \ 1). [hyper(227,a,3261,a(flip),b,4730,a(flip)),flip(a)]. 4733 T(x,x / (y * x)) = T(x,y \ 1). [hyper(227,a,3260,a(flip),b,4730,a(flip)),flip(a)]. 4734 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(4042,a,4732,a)]. 4737 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(420,a,4732,a(flip),b,4038,a)]. 4738 T(x,(x * y) \ x) = T(x,y \ 1). [hyper(227,a,2513,a(flip),b,4732,a(flip)),flip(a)]. 4739 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(72,a,4732,a(flip),b,2904,a),flip(a)]. 4740 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4732(a,1),3062(a,1,1,2))]. 4741 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(72,a,4733,a(flip),b,2094,a)]. 4742 T(x,(y \ x) \ 1) = T(x,x \ y). [para(945(a,1),4733(a,1,2)),flip(a)]. 4743 T(T(x,y \ 1),x * y) = x. [para(4738(a,1),2497(a,1,1))]. 4744 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4742(a,1),1804(a,1,1))]. 4745 K(x \ y,x) \ x = x * K(x,y / x). [hyper(227,a,4726,a(flip),b,4728,a(flip)),flip(a)]. 4746 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(114(a,2),4728(a,1,2,1))]. 4747 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(72,a,4741,a,b,2553,a)]. 4748 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(72,a,4741,a,b,xx)]. 4749 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(65(a,1),4741(a,2,2,1))]. 4750 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(385(a,2),4741(a,2,2)),flip(a)]. 4751 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(4741(a,2),111(a,1,1,1)),flip(a)]. 4752 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(4741(a,2),1968(a,1,1)),flip(a)]. 4753 K(x \ y,x) \ 1 = K(x,y / x). [hyper(2945,a,4745,a)]. 4754 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),4753(a,1,1,1)),flip(a)]. 4756 K(T(x,y),y) \ 1 = K(y,x). [para(161(a,1),4754(a,1,2)),flip(a)]. 4757 K(T(x,y),y) * K(y,x) = 1. [para(4756(a,1),14(a,1,2))]. 4758 K(T(x,y),y) = K(y,x) \ 1. [para(4756(a,1),3267(a,1,1)),flip(a)]. 4759 x * K(T(y,x),x) = K(x,y) \ x. [para(4756(a,1),4118(a,1,1)),flip(a)]. 4760 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4757(a,1),282(a,1,2)),flip(b)]. 4761 K(T(x,y),y) = K(x,(x * y) / x). [hyper(227,a,4754,a,b,4758,a)]. 4762 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(227,a,4756,a(flip),b,4758,a)]. 4763 K(T(x,y),y) * z = K(x,(x * y) / x) * z. [hyper(22,a,4761,a)]. 4764 K(T(x,y),T(y,x)) = K(x,y). [para(1938(a,1),4762(a,1,1))]. 4765 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(115(a,1),4760(a,1,1,1))]. 4767 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4758(a,2),4760(a,1))]. 4769 K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. [para(4758(a,2),4765(a,1))]. 4770 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(4498,a,4692,a)]. 4771 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(227,a,2143,a,b,4692,a(flip)),flip(a)]. 4772 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4692(a,1),4041(a,2,2,1))]. 4773 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [para(4716(a,1),62(a,1,2))]. 4774 T((x * y) / x,T(x,y)) = L(R(y,z,y),z,y). [para(4711(a,2),4718(a,1,1))]. 4775 ((x * (1 / y)) / x) * y = T(x,y \ 1) / x. [hyper(1495,a,4729,a)]. 4777 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4737(a,1),3792(a,2,1,2))]. 4778 K(x,(x * y) / x) * (K(T(x,y),y) \ z) = z. [hyper(205,a,4763,a)]. 4779 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4773(a,1),2418(a,2,2,1,2))]. 4780 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,z,y),z,y). [para(2524(a,1),4774(a,1,1))]. 4781 (K(x,y) \ 1) * (K(T(y,x),x) \ z) = z. [para(4754(a,1),4778(a,1,1))]. 4782 K(T(x,y),y) != z | K(y,x) \ 1 = z. [para(4781(a,1),154(a,1))]. 4785 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(65(a,1),4750(a,2,2,2))]. 4786 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(2574(a,1),4695(a,2,2))]. 4787 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,1670,a,b,4731,a),flip(a)]. 4789 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(227,a,4739,a(flip),b,4740,a),flip(a)]. 4790 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4746(a,2),19(a,1))]. 4791 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(227,a,3672,a(flip),b,4787,a(flip))]. 4792 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(155(a,2),4791(a,1,2))]. 4793 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(73,a,4792,a(flip),b,1481,a),flip(a)]. 4794 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(227,a,2481,a(flip),b,4780,a)]. 4795 K(x,x \ T(x * y,y)) = K(x,y). [para(4794(a,1),2895(a,1,2)),flip(a)]. 4796 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(227,a,2543,a,b,4795,a(flip))]. 4797 K(x,y) = T(y * x,y) \ T(x * y,y). [para(2530(a,1),4796(a,2,1))]. 4798 K(x \ T(x * y,x),x) = K(y,x). [hyper(227,a,2598,a(flip),b,4797,a),flip(a)]. 4799 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4798(a,1,1,2,1))]. 4800 K(x \ (y \ x),x) = K(y \ 1,x). [para(1201(a,1),4798(a,1,1,2))]. 4801 K(x \ (y / (x \ 1)),x) = K(y,x). [para(1231(a,1),4798(a,1,1,2))]. 4802 K((x / y) \ 1,x) = K(x \ y,x). [para(65(a,1),4800(a,1,1,2)),flip(a)]. 4803 K(x * (y \ 1),y) = K(y \ x,y). [para(15(a,1),4801(a,1,1,2)),flip(a)]. 4804 K(x * (1 / y),y) = K(y \ x,y). [hyper(227,a,4235,a,b,4803,a(flip)),flip(a)]. 4805 x * K(x * (y \ 1),y) = (y \ x) * y. [para(4803(a,2),236(a,1,2))]. 4806 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(666(a,2),4803(a,1,1))]. 4807 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(62(a,1),4804(a,1,1,2)),flip(a)]. 4808 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(48(a,1),4805(a,1,2,1)),flip(a)]. 4809 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(65(a,1),4805(a,1,2,1,2)),flip(a)]. 4810 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4807(a,1),236(a,1,2)),flip(a)]. 4811 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(14(a,1),4810(a,2,2,1))]. 4812 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(227,a,2535,a(flip),b,4751,a(flip)),flip(a)]. 4813 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(227,a,2579,a(flip),b,4683,a(flip)),flip(a)]. 4814 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(227,a,3658,a(flip),b,4744,a)]. 4815 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4692(a,1),4770(a,1,1))]. 4816 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3958(a,1),4785(a,1,2))]. 4817 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4816(a,1),4243(a,1,2)),flip(a)]. 4818 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(227,a,4244,a(flip),b,4817,a),flip(a)]. 4819 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4786(a,2),19(a,1))]. 4820 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(227,a,4697,a(flip),b,4793,a(flip)),flip(a)]. 4821 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(227,a,3050,a(flip),b,4820,a(flip)),flip(a)]. 4822 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),4821(a,1,1,1)),flip(a)]. 4823 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),4822(a,1,1,1)),flip(a)]. 4824 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(227,a,4580,a(flip),b,4709,a(flip)),flip(a)]. 4825 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3736(a,1),4824(a,2,1))]. 4826 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(227,a,4823,a(flip),b,4825,a(flip))]. 4827 (x * y) / (y * x) = T(y,x) \ y. [para(2471(a,1),4826(a,1,1)),flip(a)]. 4828 T(x,y / x) \ x = y / (x * (y / x)). [hyper(409,a,4827,a),flip(a)]. 4829 (T(x,y) \ x) * (x * y) = y * x. [para(4827(a,1),16(a,1,1))]. 4830 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),4827(a,1,2)),flip(a)]. 4831 K(x,y) = T(T(y,x) \ y,y * x). [hyper(166,a,4829,a,b,92,a),flip(a)]. 4834 K(x,y) = T(x \ T(x,y),y * x). [para(4701(a,1),4831(a,2,1))]. 4835 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(227,a,4789,a,b,4834,a),flip(a)]. 4836 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(227,a,4714,a(flip),b,4828,a(flip))]. 4837 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),4830(a,1,1)),flip(a)]. 4838 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(227,a,4724,a(flip),b,4837,a)]. 4839 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(227,a,4771,a(flip),b,4838,a(flip))]. 4840 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3052(a,1),4835(a,1,2,2,1))]. 4841 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4840(a,1),14(a,1,2)),flip(a)]. 4842 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4790,a,4841,a)]. 4843 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(227,a,4818,a,b,4842,a(flip)),flip(a)]. 4844 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(227,a,4220,a(flip),b,4843,a)]. 4845 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(227,a,4240,a,b,4844,a(flip)),flip(a)]. 4846 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(227,a,4802,a,b,4845,a(flip)),flip(a)]. 4847 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),4845(a,1,1,2)),flip(a)]. 4848 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),4847(a,2,1))]. 4849 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(62(a,1),4847(a,1,1,1)),flip(a)]. 4850 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(1671(a,1),4848(a,1,1))]. 4851 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(227,a,4807,a(flip),b,4849,a(flip)),flip(a)]. 4852 (((x \ 1) \ y) * (x \ (1 / x))) * x = y * K(x * y,x \ 1). [para(4849(a,1),2357(a,2,2))]. 4853 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(227,a,4241,a(flip),b,4850,a(flip)),flip(a)]. 4854 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4853(a,1),4756(a,1,1))]. 4855 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4760,a,4854,a),flip(a)]. 4856 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(227,a,4341,a(flip),b,4855,a(flip))]. 4857 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4839(a,1),3150(a,1,1))]. 4858 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3142,a,4857,a),flip(a)]. 4859 T(x,(x / y) \ 1) = T(x,x \ y). [para(65(a,1),4858(a,1,2,2)),flip(a)]. 4860 x \ ((y \ (z \ y)) \ (z \ y)) = x \ T(y,z \ 1). [para(4858(a,1),418(a,1,2)),flip(a)]. 4861 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4858(a,1),4747(a,1,1))]. 4862 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4858(a,1),4752(a,1,2)),flip(a)]. 4863 (x / y) \ T(x,x \ y) = x * (y / x). [para(4859(a,1),4749(a,1,2))]. 4864 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),4863(a,2,2))]. 4865 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),4864(a,1,2,2))]. 4866 (x / (y * x)) \ T(x,y) = x * y. [para(1938(a,1),4865(a,1,2))]. 4867 T(x,y) = (x / (y * x)) * (x * y). [para(4866(a,1),14(a,1,2)),flip(a)]. 4869 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(73,a,4867,a,b,384,a)]. 4870 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(764,a,4869,a)]. 4871 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),4870(a,1,3)),flip(a)]. 4872 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4871(a,1),388(a,1,1))]. 4873 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4872(a,1),887(a,1,2))]. 4874 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(3613(a,1),4861(a,2,2))]. 4875 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4862(a,1),4812(a,2,1))]. 4876 ((x * (y * (1 / x))) / x) * x = y * K(x * y,x \ 1). [para(3393(a,1),4852(a,1,1))]. 4877 x * K(y * x,y \ 1) = y * (x * (1 / y)). [hyper(207,a,4876,a)]. 4880 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(227,a,4660,a(flip),b,4635,a(flip))]. 4881 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(3084(a,1),4880(a,1,3)),flip(a)]. 4882 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(2259(a,1),4881(a,1,2)),flip(a)]. 4884 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(2259(a,1),4882(a,1,3)),flip(a)]. 4885 (((x / y) \ x) * x) \ (((x / y) \ 1) * z) = (1 / (y * x)) / (z \ (x / y)). [para(913(a,1),4633(a,1,1))]. 4886 (1 / (x * y)) / (z \ (y / x)) = (x * y) \ (((y / x) \ 1) * z). [para(65(a,1),4885(a,1,1,1)),flip(a)]. 4887 (1 / (x * y)) / (z \ (y / x)) = (x * y) \ ((x * (y \ 1)) * z). [para(125(a,1),4886(a,2,2,1))]. 4889 (x * y) \ ((x * (y \ 1)) * z) != u | 1 / ((z \ (y / x)) * (x * y)) = u. [para(4887(a,1),349(a,1))]. 4890 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),4684(a,2,1,1,2))]. 4891 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(65(a,1),4890(a,2,2))]. 4892 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(227,a,2644,a(flip),b,4779,a(flip))]. 4893 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(113(a,1),4892(a,2,1,2))]. 4894 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4717(a,1),4893(a,1,2,1))]. 4895 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4806(a,1),4894(a,1,2)),flip(a)]. 4896 T(x,(y \ x) * y) = x. [hyper(2633,a,4895,a)]. 4897 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(1293,a,4895,a)]. 4898 ((x \ y) * x) / y != z | (1 / y) * ((x \ y) * x) = z. [para(4896(a,1),1207(a,1,2))]. 4899 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),4897(a,1,1,1)),flip(a)]. 4900 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(227,a,767,a(flip),b,4899,a(flip)),flip(a)]. 4902 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4698(a,1),4710(a,2,2))]. 4903 ((x * (y \ 1)) * (x \ 1)) \ (((y / x) \ 1) * z) = (x * (y * (1 / x))) / (z \ (y / x)). [para(125(a,1),4634(a,1,1,1))]. 4904 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3551(a,1),4777(a,1,1,1))]. 4905 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4603(a,1),4904(a,1,1,1))]. 4906 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),4905(a,1,1))]. 4907 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4748(a,1),4906(a,2,1))]. 4908 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(227,a,16,a(flip),b,4907,a)]. 4911 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4908(a,1),3558(a,1,1)),flip(a)]. 4912 (x \ (y \ 1)) * (1 / (y \ 1)) = (x \ y) * (1 / y). [hyper(227,a,2112,a(flip),b,4911,a(flip)),flip(a)]. 4913 (x * (y * (x * y))) \ (1 / (x \ 1)) = (x * y) \ ((y \ x) * (1 / x)). [hyper(72,a,4912,a(flip),b,3409,a),flip(a)]. 4915 T(x \ 1,y \ 1) \ (((x / y) \ 1) * z) = (y * (x * (1 / y))) / (z \ (x / y)). [para(639(a,1),4903(a,1,1))]. 4916 T(x \ 1,y \ 1) \ ((y * (x \ 1)) * z) = (y * (x * (1 / y))) / (z \ (x / y)). [para(125(a,1),4915(a,1,2,1))]. 4917 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(4575(a,1),4623(a,1,2))]. 4918 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(1158,a,4917,a)]. 4919 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(4585,a,4918,a)]. 4921 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(3099(a,2),4919(a,1,3))]. 4922 L(x,y,z * (1 / u)) = L(x,y,z * (u \ 1)). [para(3566(a,1),4919(a,1,3)),flip(a)]. 4923 L(x,y,z * ((u \ 1) \ 1)) = L(x,y,z * u). [para(3757(a,1),4919(a,1,3)),flip(a)]. 4924 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3727(a,1),4921(a,1,3)),flip(a)]. 4925 L(x,y,(z \ u) * (1 / u)) = L(x,y,z \ 1). [para(124(a,1),4922(a,2,3))]. 4926 L(x,y,z / (z \ u)) = L(x,y,z * (u \ z)). [para(1464(a,1),4923(a,1,3))]. 4927 L(x,y,T(z * u,u \ 1)) = L(x,y,u * z). [para(1404(a,2),4924(a,1,3))]. 4928 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(226(a,1),4537(a,2,2))]. 4929 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(227,a,4266,a(flip),b,4928,a)]. 4930 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(226(a,1),4929(a,1,2))]. 4931 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(2259(a,1),4604(a,2,2))]. 4932 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(62(a,1),4931(a,1,1))]. 4933 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(227,a,4908,a(flip),b,4932,a)]. 4934 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(709(a,1),4933(a,1,2,2,2))]. 4935 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(270(a,1),4933(a,1,2,2,2))]. 4936 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(227,a,4621,a(flip),b,4935,a(flip)),flip(a)]. 4937 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4936(a,1),4609(a,1,2,1))]. 4938 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(227,a,3646,a(flip),b,4937,a(flip)),flip(a)]. 4939 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4938(a,1),4891(a,1,1))]. 4940 ((x \ y) * x) / y = K(x \ y,x). [hyper(227,a,4897,a(flip),b,4939,a(flip))]. 4941 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(4898,a,4940,a)]. 4942 K(x \ y,x) * y = (x \ y) * x. [para(4940(a,1),16(a,1,1))]. 4943 T(x,K(y \ x,y)) = x. [hyper(443,a,4942,a)]. 4944 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4942(a,1),3049(a,2,2))]. 4945 T(x * y,K(y,x)) = x * y. [para(13(a,1),4943(a,1,2,1))]. 4946 K(x,y) \ (x * y) = y * x. [hyper(417,a,4945,a)]. 4947 K(x,y) = (x * y) / (y * x). [para(4945(a,1),243(a,1,2)),flip(a)]. 4948 K(x,y) * (y * x) = x * y. [para(4946(a,1),14(a,1,2))]. 4949 K(x,y) = T(y,x) \ y. [hyper(227,a,4827,a(flip),b,4947,a)]. 4950 K(x \ (x / y),x) = K(y \ 1,x). [hyper(227,a,4703,a,b,4949,a),flip(a)]. 4951 K(x,y) = ((y * x) / y) \ x. [hyper(227,a,4698,a,b,4949,a)]. 4952 K(x,y) = (1 / T(y,x)) * y. [hyper(227,a,1090,a,b,4949,a)]. 4953 K(x,y) = y / T(y,x). [hyper(227,a,1085,a,b,4949,a)]. 4954 K(x,y) = y * (T(y,x) \ 1). [hyper(227,a,664,a,b,4949,a)]. 4955 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(227,a,123,a,b,4949,a),flip(a)]. 4956 x \ (y / (y / x)) = K(x \ y,x). [hyper(227,a,4712,a(flip),b,4949,a),flip(a)]. 4957 x * T(x \ 1,y) = K(x \ 1,y). [hyper(227,a,4704,a(flip),b,4949,a),flip(a)]. 4958 K(x,y) = x \ T(x,y). [hyper(227,a,4701,a(flip),b,4949,a)]. 4959 K(T(x,y),y) = x \ T(x,y). [hyper(227,a,4700,a(flip),b,4949,a)]. 4961 K(x,y) / y = 1 / T(y,x). [hyper(73,a,4949,a,b,1090,a)]. 4962 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(72,a,4949,a,b,2985,a)]. 4963 T(x,y) \ 1 = x \ K(y,x). [hyper(72,a,4949,a,b,664,a),flip(a)]. 4964 T(x,y) * K(y,x) = x. [para(4949(a,2),14(a,1,2))]. 4965 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4949(a,2,1)),flip(a)]. 4966 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4949(a,2,1)),flip(a)]. 4967 T(x,y) = x / K(y,x). [para(4949(a,2),62(a,1,2)),flip(a)]. 4970 K(x,y) * T(y,x) = y. [para(4949(a,2),1081(a,1,1))]. 4971 T(x,y) = K(y,x) \ x. [para(4949(a,2),1086(a,1,1)),flip(a)]. 4972 T(x,y) = (K(y,x) / x) \ 1. [para(4949(a,2),1096(a,1,1,1)),flip(a)]. 4973 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(2525(a,1),4949(a,2,1))]. 4974 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4949(a,2),2983(a,1,2))]. 4975 ((x * y) / x) * K(y,x) = y. [para(4949(a,2),4691(a,1,2))]. 4976 K(x,y) * ((y * x) / y) = x. [para(4949(a,2),4696(a,1,1))]. 4977 (x * y) / x = y * K(x,y). [para(4949(a,2),4707(a,2,2))]. 4978 T(x * K(y,x),y) = x. [para(4949(a,2),4715(a,1,1,2))]. 4980 x / (x / y) = y * K(y \ x,y). [para(4949(a,2),4713(a,2,2))]. 4981 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4949(a,2),4717(a,1,2,2)),flip(a)]. 4982 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4949(a,2),4705(a,1))]. 4983 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4949(a,2),4723(a,1,1)),flip(a)]. 4984 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4953(a,2),2771(a,1,2))]. 4985 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [hyper(420,a,4958,a,b,665,a),flip(a)]. 4986 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(227,a,4815,a,b,4958,a),flip(a)]. 4988 K(x,y) = ((x * y) / x) / y. [hyper(227,a,4693,a,b,4958,a)]. 4989 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(227,a,4692,a,b,4958,a),flip(a)]. 4990 K(x,y) = y \ ((x * y) / x). [hyper(227,a,4690,a,b,4958,a)]. 4991 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(227,a,3141,a,b,4958,a)]. 4992 K(x,y) = (1 / x) * T(x,y). [hyper(227,a,3139,a,b,4958,a)]. 4993 K(x,y) = T(x,y) / x. [hyper(227,a,3133,a,b,4958,a)]. 4994 K(x,y) = T(x,y) * (x \ 1). [hyper(227,a,665,a,b,4958,a)]. 4995 T(x,y) \ K(x,y) = x \ 1. [hyper(72,a,4958,a,b,665,a)]. 4996 T(x,y) = x * K(x,y). [para(4958(a,2),14(a,1,2)),flip(a)]. 4997 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4958(a,2,2)),flip(a)]. 4999 T(x,y) / K(x,y) = x. [para(4958(a,2),62(a,1,2))]. 5000 x * K(y,z) != T(y,z) | x = y. [para(4958(a,2),84(a,1,2))]. 5001 x * K(x,y) != z | T(x,y) = z. [para(4958(a,2),205(a,1,2)),flip(b)]. 5002 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(4958(a,2),102(a,1,1)),flip(a)]. 5004 T(x,y) = K(x,y) * x. [para(4958(a,2),3135(a,1,1)),flip(a)]. 5005 K(x,y) * x != z | T(x,y) = z. [para(4958(a,2),3142(a,1,1))]. 5006 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(4958(a,2),4261(a,1,2))]. 5007 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(4495(a,1),4958(a,2,2)),flip(a)]. 5008 (x * K(y,x)) * y = y * x. [para(4958(a,2),4685(a,1,1,2))]. 5009 T(x,y) * K(y,T(x,y)) = x. [para(4958(a,2),4688(a,1,2))]. 5010 (x * y) / x = K(x,y) * y. [para(4958(a,2),4689(a,1,1)),flip(a)]. 5011 (x \ y) * K(x,x \ y) = y / x. [para(4958(a,2),4687(a,1,2))]. 5014 T(x,y) \ x != z | K(y,x) = z. [para(4964(a,1),282(a,1,2)),flip(b)]. 5017 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(710(a,1),4964(a,1,1))]. 5018 x * T(y,z) != y | K(z,y) = x. [para(4964(a,1),2940(a,1)),flip(a)]. 5019 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(4224(a,1),4967(a,2,2)),flip(a)]. 5020 K(x,y / x) * (x \ y) = y / x. [para(115(a,1),4970(a,1,2))]. 5021 x / T(x,y) != z | K(y,x) = z. [para(4970(a,1),293(a,1,1)),flip(b)]. 5022 T(x,y) = 1 / (x \ K(y,x)). [hyper(227,a,4356,a,b,4971,a)]. 5023 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4971(a,2),4188(a,1,2,1))]. 5024 T(T(x * K(y,x),z),y) = T(x,z). [para(4978(a,1),38(a,1,1)),flip(a)]. 5025 (x * K(y,x)) \ (y * x) = y. [para(4978(a,1),162(a,1,2,2))]. 5027 (x * y) / x != z | y * K(x,y) = z. [para(4978(a,1),297(a,1,1,2)),flip(b)]. 5028 T(x * K(y,x),z) * y = y * T(x,z). [para(4978(a,1),175(a,1,2,1)),flip(a)]. 5029 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4978(a,1),193(a,1,1,2,1)),flip(a)]. 5030 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4978(a,1),176(a,1,2,1)),flip(a)]. 5031 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4978(a,1),177(a,1,2,1)),flip(a)]. 5032 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(4978(a,1),428(a,1,2,1,1)),flip(a)]. 5033 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(4978(a,1),719(a,1,2,1)),flip(a)]. 5034 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4978(a,1),1476(a,1,2,1)),flip(a)]. 5035 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4978(a,1),1951(a,1,2,1)),flip(a)]. 5036 T(K(x,y) * y,x) = y. [para(2922(a,2),4978(a,1,1))]. 5037 T(x \ K(y,x \ 1),y) = x \ 1. [para(2954(a,1),4978(a,1,1))]. 5038 T(K(x,y \ 1) / y,x) = 1 / y. [para(4230(a,1),4978(a,1,1))]. 5040 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(227,a,4775,a,b,4993,a),flip(a)]. 5046 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(227,a,2734,a,b,4996,a(flip)),flip(a)]. 5047 T(x,y) != x * z | K(x,y) = z. [para(4996(a,2),19(a,1))]. 5048 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4996(a,2),30(a,2,2)),flip(a)]. 5049 x \ T(x,y) != z | K(x,y) = z. [para(4996(a,2),282(a,1,2)),flip(b)]. 5053 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4996(a,2),495(a,2,2))]. 5054 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(4018(a,1),4996(a,2,2)),flip(a)]. 5055 (x \ y) \ y = K(x,y / x) * x. [hyper(1966,a,5004,a)]. 5056 K(x / y,x) \ ((1 / y) * x) = x / y. [hyper(647,a,5004,a)]. 5057 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(439,a,5004,a),flip(a)]. 5059 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(227,a,40,a,b,5004,a(flip))]. 5061 x * (K(y,x) * y) = y * x. [para(5004(a,1),113(a,1,2))]. 5065 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5004(a,2),523(a,1,1))]. 5067 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5004(a,2),474(a,1,2,2))]. 5068 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5004(a,2),495(a,2,2))]. 5069 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(5004(a,2),604(a,1,2))]. 5070 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5004(a,2),2838(a,1,1))]. 5071 T(x,y) != z | x * K(x,y) = z. [para(5004(a,2),3011(a,1))]. 5073 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(4948(a,1),474(a,1,1))]. 5074 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4948(a,1),466(a,1,1))]. 5075 K(x,y) = x * (((y * x) / y) \ 1). [hyper(227,a,670,a,b,4951,a)]. 5076 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(72,a,4951,a,b,670,a),flip(a)]. 5077 T(x \ 1,y) * x = K(x \ y,x). [para(795(a,1),4952(a,2,1)),flip(a)]. 5079 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4954(a,2),28(a,2,2,2)),flip(a)]. 5080 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4954(a,2),101(a,1,2,2)),flip(a)]. 5081 (x \ y) * ((1 / y) * x) = K(y \ x,x \ y). [para(3255(a,1),4954(a,2,2)),flip(a)]. 5082 K(T(x,y),y) = K(x,y). [hyper(227,a,4958,a,b,4959,a)]. 5083 x * K(T(x,y),y) = T(x,y). [para(4959(a,2),14(a,1,2))]. 5084 K(x,y) \ 1 = K(y,x). [hyper(4782,a,5082,a)]. 5085 K(x,y / x) = K(x,x \ y). [hyper(4769,a,5082,a)]. 5086 K(x,T(y,x)) = K(x,y). [hyper(4767,a,5082,a),flip(a)]. 5087 K(x \ (y * x),x) = K(y,x). [para(32(a,1),5082(a,1,1))]. 5088 K(x / y,y) = K(y \ x,y). [para(115(a,1),5082(a,1,1)),flip(a)]. 5090 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(889(a,1),5082(a,1,1)),flip(a)]. 5091 K(x * (y \ 1),x) = K(y \ x,x). [para(1201(a,1),5082(a,1,1)),flip(a)]. 5092 K(x / (x / y),y \ x) = K(y,y \ x). [para(2308(a,1),5082(a,1,1)),flip(a)]. 5093 K(x \ (y * T(x,z)),x) = K((y / x) * T(x,z),x). [para(2449(a,1),5082(a,1,1))]. 5094 K(x,y) * K(y,x) = 1. [para(5082(a,1),4757(a,1,1))]. 5095 K(x,y) \ x = x * K(y,x). [para(5082(a,1),4759(a,1,2)),flip(a)]. 5096 K(x,y) \ 1 != z | K(y,x) = z. [para(5082(a,1),4760(a,1,1))]. 5097 K(x,T(y,x)) != z | K(x,y) = z. [para(5082(a,1),4767(a,1))]. 5098 K(x,y) != z | K(y,x) \ 1 = z. [para(5082(a,1),4782(a,1))]. 5100 K(x * K(y,x),y) = K(x,y). [para(4978(a,1),5082(a,1,1)),flip(a)]. 5101 1 / K(x,y) = K(y,x). [hyper(3271,a,5084,a)]. 5102 (x \ K(y,z)) \ (x \ 1) = K(z,y). [hyper(567,a,5084,a)]. 5104 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(72,a,5084,a(flip),b,48,a),flip(a)]. 5105 (x \ K(y,z)) * K(z,y) = x \ 1. [para(5084(a,1),124(a,1,2))]. 5106 (K(x,y) / z) \ 1 = z * K(y,x). [para(5084(a,1),125(a,2,2))]. 5107 1 / K(x,y) != z | K(y,x) = z. [para(5084(a,1),292(a,1,2)),flip(b)]. 5108 1 / (x * K(y,z)) = K(z,y) / x. [para(5084(a,1),263(a,1,2,2))]. 5110 x \ K(y,z) != u | (K(z,y) * x) \ 1 = u. [para(5084(a,1),288(a,1,2))]. 5111 1 / (x * (y * K(z,u))) = (K(u,z) / y) / x. [para(5084(a,1),327(a,1,2,2,2))]. 5112 (1 / x) \ (K(y,z) * u) = x / (u \ K(z,y)). [para(5084(a,1),340(a,1,2,2)),flip(a)]. 5113 (1 / x) \ (K(y,z) / u) = x / (u * K(z,y)). [para(5084(a,1),341(a,1,2,2)),flip(a)]. 5114 (x * K(y,z)) \ K(z,y) = K(z,y) * (x \ K(z,y)). [para(5084(a,1),780(a,1,1,2))]. 5115 (K(x,y) * z) \ z = T(K(y,x),z). [para(5084(a,1),1193(a,1,1)),flip(a)]. 5117 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5084(a,1),2929(a,2,2))]. 5119 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),5086(a,1,2))]. 5121 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(180(a,1),5086(a,1,2)),flip(a)]. 5122 K(x,T(y,x \ y)) = K(x,y). [para(2497(a,1),5086(a,1,2)),flip(a)]. 5123 K(x,y * K(x,y)) = K(x,y). [para(4978(a,1),5086(a,1,2)),flip(a)]. 5124 K(x,y) * z != 1 | K(y,x) = z. [para(5094(a,1),19(a,1)),flip(a)]. 5126 (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. [para(5101(a,1),338(a,1,1,1))]. 5127 K(x,y) \ (1 / z) != u | K(y,x) / z = u. [para(5101(a,1),350(a,1,1))]. 5128 K(x,y) \ z != u | K(y,x) / (z \ 1) = u. [para(5101(a,1),580(a,1,1))]. 5129 T(K(x,y) \ z,K(y,x)) = z * K(y,x). [para(5101(a,1),621(a,1,1,1))]. 5130 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5101(a,1),625(a,2,1,1)),flip(a)]. 5131 T(K(x,y) \ z,K(y,x)) != u | z * K(y,x) = u. [para(5101(a,1),641(a,1,1,1))]. 5132 ((x \ 1) \ 1) * K(y,z) = 1 / (K(z,y) / x). [para(5101(a,1),1079(a,1,2))]. 5133 (K(x,y) * z) \ z != u | T(K(y,x),z) = u. [para(5101(a,1),1226(a,1,1,1))]. 5134 ((K(x,y) / z) * u) \ K(x,y) = K(y,x) * ((u / K(x,y)) \ z). [para(5101(a,1),1523(a,1,1)),flip(a)]. 5135 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5101(a,1),4441(a,1,2,2))]. 5137 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4963(a,1),292(a,1,2)),flip(b)]. 5138 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4963(a,1),3512(a,1,2,1))]. 5139 (x / y) * K(y \ x,y) = y \ x. [para(14(a,1),4975(a,1,1,1))]. 5142 K(x,y) = x / ((y * x) / y). [hyper(85,a,4976,a),flip(a)]. 5145 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(89(a,1),4976(a,1,2,1))]. 5147 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4819,a,4977,a)]. 5148 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(2631,a,4977,a),flip(a)]. 5149 T(x,y \ x) = x * K(y,x). [hyper(2501,a,4977,a)]. 5150 (1 / x) \ (y / (y * x)) = K(y,1 / x). [hyper(701,a,4977,a)]. 5151 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(72,a,4977,a,b,1926,a)]. 5152 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,4977,a)]. 5153 T(x * K(y,x),y) != z | z = x. [para(4977(a,1),289(a,1,1))]. 5154 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(109(a,1),4977(a,1,1))]. 5155 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4977(a,1),110(a,1,1))]. 5156 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4977(a,2),492(a,1,2))]. 5157 T(x * K(y * x,x),y) = R(x,y,x). [para(4977(a,1),881(a,2,1)),flip(a)]. 5158 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4977(a,1),1477(a,1,1))]. 5159 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4977(a,1),1482(a,1,1))]. 5160 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4977(a,1),844(a,1,1))]. 5161 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4977(a,1),1683(a,1,1,1))]. 5163 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4977(a,1),1478(a,1,1))]. 5164 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(2447(a,1),4977(a,1,1))]. 5165 x * (y * K(x,y)) = T(x,y) * y. [para(4977(a,1),2551(a,2,2)),flip(a)]. 5166 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4977(a,1),2635(a,2,1,2))]. 5168 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(2703(a,1),4977(a,1,1))]. 5169 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4977(a,1),2714(a,2,1)),flip(a)]. 5170 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(2835(a,1),4977(a,1,1))]. 5171 ((x * y) / x) / y != z | K(x,y) = z. [para(4977(a,2),2924(a,1,1))]. 5172 (x / y) / (y \ x) = K(y,y \ x). [para(14(a,1),4988(a,2,1,1)),flip(a)]. 5173 ((1 / x) / (1 / (y * x))) / y = K(1 / (y * x),y). [para(335(a,1),4988(a,2,1,1)),flip(a)]. 5174 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(1746(a,1),4988(a,2,1)),flip(a)]. 5175 (T(a(x,y,z),(y * z) \ (x \ 1)) / ((x * y) * z)) / ((y * z) \ (x \ 1)) = K((x * y) * z,(y * z) \ (x \ 1)). [para(2876(a,1),4988(a,2,1,1)),flip(a)]. 5176 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4990(a,2),308(a,1,2,2))]. 5178 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(4481(a,1),4992(a,2,1)),flip(a)]. 5179 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4994(a,2),474(a,1,2,2))]. 5180 T(x,y * x) * (x \ 1) = K(x,x * y). [para(2461(a,2),4994(a,2,1)),flip(a)]. 5181 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5084(a,1),4994(a,2,2)),flip(a)]. 5182 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(4995(a,1),205(a,1,2)),flip(b)]. 5183 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,2840,a,b,5008,a)]. 5184 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(18,a,890,a,b,5008,a)]. 5185 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(5008(a,1),89(a,1,1))]. 5186 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4017(a,1),5008(a,1,1,2))]. 5189 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [hyper(227,a,4239,a,b,5085,a(flip)),flip(a)]. 5191 x * K(y,y \ x) = y * (x / y). [para(5085(a,1),237(a,1,2))]. 5194 (x * (y / x)) \ y = K(x \ y,x). [hyper(227,a,96,a,b,5088,a(flip)),flip(a)]. 5195 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5095(a,1),102(a,1,1))]. 5199 K(x,y \ x) = K(y,x). [hyper(17,a,4996,a(flip),b,5149,a(flip)),flip(a)]. 5200 T(x,y \ x) != x * z | K(y,x) = z. [para(5149(a,2),19(a,1))]. 5201 K(x * y,y) = K(x,x * y). [para(13(a,1),5199(a,1,2))]. 5202 K(x / y,x) = K(x,y). [para(65(a,1),5199(a,1,2)),flip(a)]. 5203 K((x * y) \ (z \ 1),y \ (x \ (z \ 1))) = K(a(z,x,y),(x * y) \ (z \ 1)). [para(1872(a,1),5199(a,1,2))]. 5204 T(K(x,y),K(z,y)) = K(x,y). [para(5199(a,1),3067(a,1,2))]. 5205 K(x \ y,y) = 1 / K(x,y). [para(5199(a,1),5101(a,1,2)),flip(a)]. 5206 T(x / y,K(x,y)) = x / y. [para(5202(a,1),3007(a,1,2))]. 5207 T(K(x,y),K(x,z)) = K(x,y). [para(5202(a,1),3069(a,1,2))]. 5208 T(x,K(y,y * T(x,z))) = x. [para(5201(a,1),2947(a,1,2))]. 5209 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(5204(a,1),113(a,1,2))]. 5211 K(x \ y,y) = K(y,x). [hyper(227,a,5101,a(flip),b,5205,a)]. 5212 K(x / y,x) = K(y \ x,x). [hyper(227,a,5202,a,b,5211,a),flip(a)]. 5213 K((x \ y) \ y,y) = K(x,y). [hyper(227,a,5199,a(flip),b,5211,a)]. 5214 K(x,(y \ x) \ x) = K(x,y). [hyper(227,a,5199,a,b,5211,a(flip)),flip(a)]. 5215 K(x,x / y) = K(y,x). [hyper(227,a,768,a(flip),b,5211,a(flip))]. 5216 K(x * y,x) = K(y,x * y). [hyper(227,a,767,a(flip),b,5211,a(flip))]. 5217 K(x,x / y) = K(x,y \ x). [hyper(227,a,5199,a,b,5215,a)]. 5218 K(x,y) * (x / y) != z | (x / y) * K(x,y) = z. [para(5206(a,1),210(a,1,2))]. 5219 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(5207(a,1),113(a,1,2))]. 5221 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,5208,a)]. 5222 K(x * y,T(y,x)) = K(x * y,y). [para(1962(a,2),5214(a,1,2))]. 5224 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),5014(a,1,1))]. 5225 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),5014(a,1,1))]. 5227 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4703(a,2),5014(a,1))]. 5230 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),5049(a,1,2))]. 5232 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(829(a,2),5049(a,1,2))]. 5236 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(249(a,2),5096(a,1))]. 5237 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),5097(a,1,2))]. 5239 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1851(a,1),5097(a,1,2))]. 5242 K(x \ y,y) != z | K(y,x) = z. [para(5205(a,2),5107(a,1))]. 5243 K(a(x,y,z),(x * y) * z) != u | K((x * y) * z,x * (y * z)) = u. [para(24(a,2),5242(a,1,1))]. 5245 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(4127,a,4950,a)]. 5246 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(227,a,2645,a(flip),b,4950,a(flip)),flip(a)]. 5247 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(227,a,2419,a(flip),b,4950,a(flip)),flip(a)]. 5248 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4950(a,1),2418(a,2,2))]. 5249 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(4950(a,1),2421(a,1,2))]. 5250 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4950(a,1),2420(a,1,2))]. 5251 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4950(a,1),2646(a,1,1))]. 5252 x / (y * (x / y)) = K(y \ x,y). [hyper(227,a,4836,a,b,4956,a(flip)),flip(a)]. 5253 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(1649,a,4957,a)]. 5255 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4957(a,1),849(a,2,2))]. 5257 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4957(a,1),1676(a,2,2))]. 5258 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4957(a,1),2231(a,1,1))]. 5259 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4957(a,1),2611(a,2,1))]. 5260 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4957(a,1),2620(a,2,1))]. 5262 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(73,a,4974,a(flip),b,140,a(flip))]. 5264 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(227,a,2954,a(flip),b,4980,a),flip(a)]. 5265 (x * K(x \ y,x)) * (y / x) = y. [para(4980(a,1),16(a,1,1))]. 5267 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4980(a,1),2566(a,1,2))]. 5268 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4799(a,1),4980(a,2,2))]. 5271 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [para(5011(a,1),2214(a,1,1))]. 5273 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(4651(a,1),5038(a,1,1,1))]. 5274 T(x,y * K(y,z)) = T(x,T(y,z)). [para(5046(a,1),2040(a,1,2))]. 5275 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(5046(a,2),5001(a,1))]. 5277 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5075(a,2),2297(a,2,2))]. 5278 (x \ y) \ K(x \ y,x) = (y / x) \ 1. [para(14(a,1),5076(a,1,1,1)),flip(a)]. 5279 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5076(a,1),1898(a,1,2))]. 5280 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(2478(a,1),5076(a,1,1)),flip(a)]. 5281 x * T(1 / x,y) = K(x \ y,x). [hyper(227,a,802,a(flip),b,5077,a(flip)),flip(a)]. 5282 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5076(a,1),5091(a,1,1,2)),flip(a)]. 5283 ((K(x,y) * z) \ u) * u = (z \ K(y,x)) * (u * u). [para(5104(a,1),913(a,1,1)),flip(a)]. 5284 (x \ K(y,z)) * L(u,K(z,y) * x,K(z,y) * x) = (K(z,y) * x) \ u. [para(5104(a,1),1349(a,1,1))]. 5285 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5104(a,1),1543(a,1,2,1))]. 5286 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(3015(a,1),5104(a,1,1))]. 5289 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(3012(a,1),5108(a,1,2))]. 5290 K(x,y) / x = 1 / ((y * x) / y). [para(4977(a,2),5108(a,1,2)),flip(a)]. 5291 (K(x,y) * z) * T(K(y,x),z) = z. [para(5115(a,1),14(a,1,2))]. 5292 x * ((K(y,z) * x) \ x) = K(z,y) * x. [para(5115(a,2),113(a,1,2))]. 5293 K(x,y) * (y \ K(y,x)) = y \ 1. [para(5117(a,1),48(a,1,2))]. 5294 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5117(a,1),2965(a,2,2,2))]. 5298 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5165(a,1),30(a,2,2)),flip(a)]. 5299 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5191(a,1),102(a,2,1))]. 5300 (x * (y / x)) * K(x \ y,x) = y. [para(5194(a,1),14(a,1,2))]. 5301 K(x * y,y) = K(y * x,y). [hyper(2097,a,5222,a),flip(a)]. 5302 K(x * y,y) != z | K(y * x,y) = z. [para(5222(a,1),2097(a,1))]. 5303 K((x \ 1) * y,y) = K(x \ y,y). [hyper(227,a,5091,a(flip),b,5301,a)]. 5304 T(x * K(x * y,x),y * x) = x. [para(5301(a,1),4978(a,1,1,2))]. 5305 K(x \ y,x) * (x * (y / x)) = y. [para(5252(a,1),16(a,1,1))]. 5308 K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). [para(5279(a,1),190(a,1,2))]. 5309 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5279(a,1),175(a,1,2,1))]. 5310 T(x,x \ y) \ 1 = T(1 / x,y). [hyper(17,a,4954,a(flip),b,5281,a),flip(a)]. 5311 K(x,y) / x = (y / x) / y. [hyper(227,a,1288,a(flip),b,5290,a)]. 5312 (K(x,y) / x) * y = y / x. [para(5311(a,2),16(a,1,1))]. 5313 (K(a(x,y,z),(x * y) * z) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. [hyper(72,a,134,a(flip),b,5312,a)]. 5314 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(5207(a,1),5291(a,1,2))]. 5315 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(85,a,5293,a)]. 5316 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5293(a,1),293(a,1,1)),flip(b)]. 5317 ((x \ y) \ y) \ 1 = T(1 / x,y). [hyper(227,a,740,a(flip),b,5310,a(flip)),flip(a)]. 5318 T(1 / (x / y),x) = (y \ x) \ 1. [para(709(a,1),5310(a,1,1)),flip(a)]. 5319 T(((x \ y) \ y) * z,(x \ y) \ y) = z / T(1 / x,y). [para(5317(a,1),1231(a,2,2))]. 5320 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / z) \ T(1 / y,z)) * x). [para(5317(a,1),1847(a,2,2,1,2))]. 5321 (1 / (x / y)) * x = x * ((y \ x) \ 1). [para(5318(a,1),113(a,1,2)),flip(a)]. 5322 T(x * K(x * y,x),y) = R(x,y,x). [para(5301(a,1),5157(a,1,1,2))]. 5323 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5303(a,1),5157(a,1,1,2))]. 5324 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(5273(a,1),3315(a,1,1)),flip(a)]. 5325 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(180(a,1),5275(a,1,2))]. 5327 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5322(a,1),38(a,1,1)),flip(a)]. 5328 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(4955(a,1),4407(a,2,1,2,1))]. 5329 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(4978(a,1),4962(a,1,1,1)),flip(a)]. 5330 K(x * (1 / y),x) = K(y \ x,x). [hyper(227,a,4949,a,b,4973,a)]. 5331 K(x * (1 / y),x) != z | K(y \ x,x) = z. [para(4973(a,2),5014(a,1))]. 5332 K(x * (1 / y),x) = K(x / y,x). [hyper(227,a,5212,a,b,5330,a)]. 5333 K((1 / x) * y,y) = K(x \ y,y). [hyper(227,a,5301,a,b,5330,a(flip)),flip(a)]. 5334 K((x \ 1) \ y,y) = K(y * x,y). [para(62(a,1),5330(a,1,1,2)),flip(a)]. 5335 K(x * y,x) = K(x,y \ 1). [hyper(5242,a,5334,a),flip(a)]. 5336 K(x * y,y) = K(y,x \ 1). [hyper(227,a,5301,a,b,5335,a(flip)),flip(a)]. 5337 K(x,y \ 1) = K(y,x * y). [hyper(227,a,5216,a(flip),b,5335,a(flip))]. 5338 K(x,(x \ y) \ 1) = K(y,x). [para(14(a,1),5335(a,1,1)),flip(a)]. 5339 K(x * K(y,z),x) = K(x,K(z,y)). [para(5084(a,1),5335(a,2,2))]. 5340 K(x,y \ 1) = K(y,y * x). [hyper(227,a,5201,a(flip),b,5336,a(flip))]. 5341 K(x,y \ 1) != z | K(x * y,x) = z. [para(5336(a,1),5302(a,1))]. 5342 K(x \ 1,y * (x \ 1)) = K(y,x). [hyper(227,a,4220,a(flip),b,5337,a(flip))]. 5343 K(x,y \ 1) * y = T(y,x * y). [para(5337(a,2),5004(a,2,1)),flip(a)]. 5344 K(x,y * x) = K(x,x * y). [hyper(227,a,5337,a(flip),b,5340,a(flip)),flip(a)]. 5345 K(x \ y,x \ 1) = K(x,y). [para(14(a,1),5340(a,2,2))]. 5346 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5344(a,1,2)),flip(a)]. 5347 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(89(a,1),5344(a,2,2))]. 5348 K(x,y * (1 / x)) = K(x,x \ y). [para(2016(a,1),5346(a,1,2))]. 5349 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(62(a,1),5348(a,1,2,2)),flip(a)]. 5351 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4977(a,1),4981(a,1,1))]. 5352 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(4984(a,1),62(a,1,2))]. 5355 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(227,a,4399,a(flip),b,4989,a(flip)),flip(a)]. 5356 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(227,a,4087,a(flip),b,4989,a(flip)),flip(a)]. 5357 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4989(a,1),2897(a,2,2))]. 5359 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4989(a,1),3055(a,1,2))]. 5362 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4991(a,2),2611(a,2,1))]. 5363 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,5008,a,b,5028,a),flip(a)]. 5364 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,2840,a,b,5028,a)]. 5365 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,430,a,b,5028,a),flip(a)]. 5366 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(227,a,4875,a,b,5029,a)]. 5367 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(227,a,5010,a(flip),b,5029,a),flip(a)]. 5368 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(72,a,5029,a,b,4977,a(flip))]. 5369 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(5029(a,2),289(a,1,1)),flip(b)]. 5370 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5029(a,2),4951(a,2,1)),flip(a)]. 5371 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5029(a,2),5027(a,1))]. 5372 (x / (x * y)) * y = K(x,y \ 1). [para(700(a,1),5040(a,1,1))]. 5373 K(x \ y,y) \ ((1 / x) * y) = y / x. [para(5212(a,1),5056(a,1,1))]. 5375 x / T(x,y \ 1) = K(y,1 / x). [hyper(703,a,5150,a)]. 5376 K(x \ 1,y) = K(x,1 / y). [hyper(5021,a,5375,a)]. 5377 K(x,1 / y) != z | K(x \ 1,y) = z. [para(5375(a,1),5021(a,1))]. 5378 K(x \ 1,y) = K(x,y \ 1). [hyper(227,a,4222,a(flip),b,5376,a)]. 5379 K(x \ 1,y \ 1) = K(x,y). [para(62(a,1),5376(a,2,2))]. 5380 K(x \ 1,y) != z | K(x,y \ 1) = z. [para(5376(a,2),4237(a,1))]. 5381 K(x \ 1,K(y,z)) = K(x,K(z,y)). [para(5101(a,1),5376(a,2,2))]. 5382 K(1 / x,y) = K(x,y \ 1). [hyper(227,a,4018,a,b,5378,a(flip)),flip(a)]. 5383 K(1 / x,y \ 1) = K(x,y). [hyper(227,a,768,a(flip),b,5378,a(flip))]. 5384 x \ K(x,y \ 1) = T(x \ 1,y). [hyper(72,a,5378,a(flip),b,4957,a)]. 5385 T(x,y \ 1) \ 1 = x \ K(y,x \ 1). [hyper(72,a,5378,a(flip),b,4954,a(flip)),flip(a)]. 5386 (1 / x) \ (y * K(z,z \ 1)) = x / (y \ K(z,z \ 1)). [para(5378(a,1),3123(a,1,2,2))]. 5387 K(x,x \ 1) * (y * (1 / x)) = y * (x \ 1). [para(5378(a,1),3568(a,1,1))]. 5388 K(x,x \ 1) * (y * K(x,x \ 1)) = y. [para(5378(a,1),3720(a,1,2,2))]. 5389 K(x,x \ 1) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(5378(a,1),3811(a,1,1))]. 5390 T(x * ((y \ z) * (1 / z)),x) = (y * K(z,z \ 1)) \ x. [para(5378(a,1),3883(a,2,1,2))]. 5391 K(x,x * (y \ 1)) = K(y,x). [hyper(227,a,5340,a(flip),b,5379,a(flip)),flip(a)]. 5392 K(x * K(y,z),u \ 1) = K(K(z,y) / x,u). [para(5106(a,1),5379(a,1,1))]. 5393 K(x,y \ 1) != z | K(x \ 1,y) = z. [para(5382(a,1),4023(a,1))]. 5395 K(x,(1 / y) * x) = K(y,x). [hyper(227,a,5337,a(flip),b,5383,a(flip)),flip(a)]. 5396 K(x,(1 / y) * x) = K(x,y \ x). [hyper(227,a,5199,a,b,5395,a)]. 5397 x \ K(x,y \ (z \ 1)) = T(x \ 1,z * y). [para(123(a,1),5384(a,1,2,2))]. 5398 K(x,(y \ 1) \ x) = K(x,y * x). [para(62(a,1),5396(a,1,2,1)),flip(a)]. 5399 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(227,a,5344,a(flip),b,5398,a)]. 5400 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(4644(a,1),5399(a,1,2,1))]. 5401 K(x,K(y,z)) != u | K(x \ 1,K(z,y)) = u. [para(5101(a,1),5377(a,1,2))]. 5402 K(x \ (y \ 1),z) != u | K(y * x,z \ 1) = u. [para(123(a,1),5380(a,1,1))]. 5404 K(x,x * y) != z | K(x,y * x) = z. [para(5180(a,1),5182(a,1))]. 5405 K(x,y \ 1) != z | K(y,x * y) = z. [para(5340(a,2),5404(a,1))]. 5407 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(4222(a,1),5262(a,1,2))]. 5408 (x \ y) \ K(x \ y,x) = x * (y \ 1). [hyper(227,a,125,a(flip),b,5278,a)]. 5409 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [para(5308(a,1),744(a,1,1))]. 5410 x \ (x / (1 / y)) = x * ((y \ x) \ 1). [hyper(227,a,1192,a,b,5321,a(flip)),flip(a)]. 5411 (x * ((y \ x) \ 1)) \ 1 = x \ (x / y). [para(5321(a,1),250(a,1,1))]. 5412 (x \ (x / (y \ 1))) / (y \ 1) = (x * ((y \ x) \ 1)) * y. [para(5321(a,1),2343(a,2,1))]. 5413 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4961(a,2),5352(a,1,2))]. 5414 ((K(x,y \ 1) \ 1) \ y) * (1 / y) = y * (((T(y,x \ 1) \ 1) \ 1) \ 1). [para(5385(a,2),2119(a,2,2,1,1))]. 5415 (K(x,x \ 1) / y) * (z * K(x,x \ 1)) = (1 / y) * z. [hyper(1693,a,5388,a)]. 5416 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5407(a,1),16(a,1,1)),flip(a)]. 5417 (x * y) \ ((x * y) / (1 / x)) = (x * y) * (y \ 1). [para(13(a,1),5410(a,2,2,1))]. 5418 x * L(y / (1 / (y \ x)),y \ x,y) = ((y * ((x \ y) \ 1)) * y) * (y \ x). [para(5410(a,1),4183(a,2,1,1))]. 5419 ((x \ y) \ 1) \ (y \ 1) = y \ (y / x). [hyper(311,a,5411,a)]. 5420 ((x \ (y / z)) \ 1) \ (z * (y \ 1)) = (y / z) \ ((y / z) / x). [para(125(a,1),5419(a,1,2))]. 5424 T(x,y) * K(x * y,x) = R(x,y,x). [para(2096(a,1),5184(a,1,2))]. 5425 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(2941,a,5424,a)]. 5426 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5424(a,1),28(a,2,2,2)),flip(a)]. 5427 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4123(a,2),5227(a,1))]. 5428 K(x / y,x) != z | K(y \ x,x) = z. [para(5332(a,1),5331(a,1))]. 5430 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5227,a,4983,a)]. 5432 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(65(a,1),5430(a,2,1,1))]. 5433 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(4017(a,1),5430(a,2,1))]. 5434 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(5104(a,1),5430(a,2,1,1))]. 5435 K(x * K(y,x \ 1),z) = T(K(x,z),y). [para(5416(a,1),5432(a,1,1))]. 5436 K((x \ y) \ y,z) = T(K(x,z),y). [para(787(a,1),5433(a,1,1))]. 5438 T(K(x / y,z),x) = K(y \ x,z). [para(65(a,1),5436(a,1,1,1)),flip(a)]. 5439 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5436(a,2),152(a,1)),flip(b)]. 5440 K(T(x,x \ y),z) = T(K(x,z),y). [para(114(a,2),5436(a,1,1))]. 5441 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(227,a,2961,a(flip),b,5438,a(flip)),flip(a)]. 5442 K(x \ 1,y) != z | K(1 / x,y) = z. [para(5438(a,1),152(a,1)),flip(b)]. 5443 K((x \ (y \ 1)) \ 1,z) != u | K(y * x,z) = u. [para(123(a,1),5439(a,1,1,1))]. 5445 K(x \ 1,K(y,z)) != u | K(x,K(z,y)) = u. [para(5381(a,1),5439(a,1))]. 5446 T(K(x,y),z) \ 1 != u | K(y,x * K(z,x \ 1)) = u. [para(5435(a,1),5096(a,1,1))]. 5447 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,5008,a,b,5030,a),flip(a)]. 5449 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,5008,a,b,5031,a),flip(a)]. 5451 (x * K(y,z)) / (u * K(w,v5)) = (K(z,y) / x) \ (K(v5,w) / u). [para(5108(a,1),5113(a,1,1)),flip(a)]. 5452 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(227,a,769,a(flip),b,5147,a)]. 5453 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(73,a,5158,a,b,5010,a(flip))]. 5454 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5158(a,2),4951(a,2,1)),flip(a)]. 5455 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5158(a,2),5142(a,2,2)),flip(a)]. 5456 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(5158(a,2),5171(a,1,1))]. 5457 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(72,a,5159,a,b,4977,a(flip))]. 5458 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5159(a,2),1286(a,1,1))]. 5459 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5159(a,2),4951(a,2,1)),flip(a)]. 5460 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [para(1647(a,1),5246(a,1,1)),flip(a)]. 5461 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(1636(a,1),5246(a,1,1))]. 5462 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1791,a,5248,a)]. 5463 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(853,a,5248,a),flip(a)]. 5464 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(73,a,5248,a(flip),b,429,a)]. 5465 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(227,a,1794,a(flip),b,5251,a)]. 5467 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),5251(a,2,2,1))]. 5469 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(5267(a,2),2567(a,1,1))]. 5470 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5268(a,1),2739(a,1,1,1))]. 5471 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [hyper(287,a,5285,a)]. 5472 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(227,a,4856,a(flip),b,5349,a(flip))]. 5473 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4982,a,5472,a)]. 5474 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(5472(a,2),4808(a,2,2))]. 5475 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5363(a,1),282(a,1,2)),flip(b)]. 5477 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4980(a,2),5368(a,1,2,1))]. 5478 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5301(a,1),5368(a,1,2,1,2))]. 5479 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5363(a,1),5370(a,1,1,1))]. 5480 (x * (1 / y)) * (1 / y) = (x * (y \ 1)) * (y \ 1). [para(5387(a,1),3751(a,1,1)),flip(a)]. 5481 ((T(x,y) \ 1) \ 1) \ 1 = x \ K(x,y \ (x \ 1)). [hyper(227,a,1059,a(flip),b,5397,a),flip(a)]. 5482 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4957,a,b,5473,a)]. 5483 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(227,a,1784,a(flip),b,5482,a)]. 5484 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(5482(a,1),3512(a,1,2,1,1))]. 5485 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(5482(a,2),3512(a,1,1))]. 5486 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),5483(a,1,2))]. 5488 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(4648(a,1),4966(a,1,1,1)),flip(a)]. 5489 (x * (y * z)) \ ((x * y) * L(T(z,u),y,x)) = L(K(L(z,y,x),u),L(z,y,x),x * y). [para(4997(a,1),489(a,1,1)),flip(a)]. 5491 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(4996(a,2),5079(a,1,2)),flip(a)]. 5492 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(13(a,1),5131(a,1,1))]. 5493 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5169(a,2),2482(a,1,1))]. 5494 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(227,a,42,a,b,5327,a)]. 5495 K(x \ (y * (z \ 1)),u) != w | K((z / y) * x,u \ 1) = w. [para(125(a,1),5402(a,1,1,2))]. 5496 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5301(a,2),5494(a,1,1,1,2))]. 5497 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4958(a,2),4986(a,1,1))]. 5498 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(65(a,1),5497(a,1,1,2)),flip(a)]. 5499 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4220(a,1),5497(a,1,1)),flip(a)]. 5501 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(375(a,1),5499(a,1,2,1)),flip(a)]. 5502 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(5496(a,1),5032(a,1,1))]. 5503 ((x / y) * K(z,u)) \ K(u,z) = (K(u,z) * y) * (x \ K(u,z)). [hyper(227,a,3336,a,b,5114,a)]. 5504 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5166(a,1),408(a,1,1))]. 5505 (1 / ((1 / (x * y)) * y)) / x = K(1 / (x * y),x). [para(325(a,1),5173(a,1,1))]. 5507 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4957(a,1),5245(a,1,1))]. 5508 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4991(a,2),5245(a,1,1)),flip(a)]. 5509 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(110(a,1),5507(a,2,1,1))]. 5510 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(4017(a,1),5507(a,1,1)),flip(a)]. 5511 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5508(a,1),5507(a,1,1)),flip(a)]. 5512 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5510(a,1),5084(a,1,1)),flip(a)]. 5513 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(227,a,2653,a(flip),b,5253,a(flip)),flip(a)]. 5514 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(113(a,1),5253(a,1,2))]. 5516 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3166(a,1),5258(a,1,1))]. 5518 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5258(a,2),5260(a,1,2))]. 5519 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4849(a,1),5264(a,1,2))]. 5520 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(5519(a,2),65(a,1,1))]. 5521 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [para(5356(a,1),16(a,1,1))]. 5522 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(2331(a,1),5356(a,1,1))]. 5523 (x * y) \ (x * (y * x)) = (x * y) * (y \ 1). [para(2005(a,1),5417(a,1,2))]. 5524 L(x,y,x) = (x * y) * (y \ 1). [hyper(474,a,5523,a)]. 5525 L(x,y,y) = L(x,y,x). [hyper(227,a,1028,a(flip),b,5524,a),flip(a)]. 5526 L(x,y,x) = y * ((y \ 1) * x). [hyper(1402,a,5525,a),flip(a)]. 5527 L(x,y,x) = L(x,x,y). [hyper(227,a,4163,a(flip),b,5525,a(flip))]. 5528 (x * y) * L(x,y,y) = x * (y * x). [para(5525(a,2),100(a,1,2))]. 5529 (x \ (x / y)) / (y * x) = 1 / (y * (x * y)). [para(5528(a,1),1036(a,1,2)),flip(a)]. 5530 ((x \ (y / x)) \ ((x \ (y / x)) / x)) / (x * (x \ (y / x))) = 1 / (x * ((x \ 1) * y)). [para(1994(a,1),5529(a,2,2,2))]. 5531 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5462(a,1),14(a,1,2))]. 5532 x \ T(x * y,z) = y * K(x * y,z). [para(4019(a,1),5462(a,2,2))]. 5533 x * (y * K(x * y,z)) = T(x * y,z). [para(5532(a,1),14(a,1,2))]. 5534 x * (y * K(x * y,z)) != u | T(x * y,z) = u. [para(5532(a,1),205(a,1,2)),flip(b)]. 5535 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(252(a,1),5532(a,1,2)),flip(a)]. 5536 (x * y) * (y / (x * y)) = y * K(x * y,x \ 1). [hyper(17,a,4731,a,b,5533,a),flip(a)]. 5537 (x * (1 / y)) \ (1 / x) = (y * (x \ 1)) * (x \ 1). [hyper(227,a,2182,a,b,5480,a(flip)),flip(a)]. 5538 x * (((T(x,y) \ 1) \ 1) \ 1) = K(x,y \ (x \ 1)). [para(5481(a,2),14(a,1,2))]. 5539 (1 / (1 / T(x,y))) / x = K(1 / (x * y),x). [para(336(a,1),5505(a,1,1,2))]. 5540 K(1 / (x * y),x) != z | 1 / (x * (1 / T(x,y))) = z. [para(5539(a,1),349(a,1))]. 5541 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(65(a,1),5518(a,1,2,1,1))]. 5542 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(4017(a,1),5518(a,1,2,1))]. 5543 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(227,a,5359,a,b,5521,a)]. 5544 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5084(a,1),5531(a,1,2,2,1,1,2))]. 5545 (x * y) * (y \ (y / x)) = y * K(x * y,x \ 1). [para(944(a,1),5536(a,1,2))]. 5546 K(x,y \ (x \ 1)) = x * (1 / T(x,y)). [para(1057(a,1),5538(a,1,2)),flip(a)]. 5547 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5076(a,1),5543(a,1,1,2))]. 5548 (x * y) * (y \ (y / x)) = x * (y * (1 / x)). [hyper(227,a,4877,a(flip),b,5545,a)]. 5549 L(1 / x,y,x) = y \ (y / x). [hyper(464,a,5548,a)]. 5550 1 / (x * (y * (1 / x))) = x * (1 / (x * y)). [para(5548(a,1),2878(a,1,2))]. 5551 L(1 / x,1 / x,y) = L(1 / x,y,x). [hyper(227,a,4166,a,b,5549,a),flip(a)]. 5552 x * L(1 / y,x,y) = x / y. [para(5549(a,2),14(a,1,2))]. 5553 L(1 / x,y,x) \ (1 / y) = ((y / x) \ y) * (1 / y). [para(5549(a,2),1101(a,1,1))]. 5554 (x / y) / (L(1 / z,y,z) \ (1 / y)) = (y * (1 / x)) \ (y / z). [para(5552(a,1),4670(a,2,2))]. 5555 L(1 / x,y,x) = 1 / L(x,x,y). [hyper(227,a,4172,a(flip),b,5551,a(flip))]. 5556 L(1 / x,y,x) / z = 1 / (z * L(x,x,y)). [hyper(73,a,5555,a,b,335,a)]. 5557 (1 / (x / y)) * (y \ 1) = y * (1 / (y * x)). [hyper(3384,a,5550,a)]. 5558 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5100(a,2),5195(a,1,2))]. 5559 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(227,a,5323,a(flip),b,5366,a(flip))]. 5560 (1 / (1 / x)) \ y != z | ((x \ 1) \ 1) \ y = z. [para(3641(a,1),5389(a,1))]. 5565 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(5091(a,1),5459(a,1,1,1,2))]. 5567 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(721,a,5502,a)]. 5568 1 / (x * (1 / T(x,y))) = K(x * y,x \ 1). [hyper(5540,a,5382,a)]. 5569 (T(x,y) \ 1) \ (1 / x) = K(x * y,x \ 1). [hyper(1121,a,5568,a)]. 5570 ((x * (T(x,y) \ 1)) \ x) * (1 / x) = K(x * y,x \ 1). [hyper(227,a,1003,a,b,5569,a(flip)),flip(a)]. 5571 ((T(x,y) \ 1) * (T(x,y) \ 1)) * K(x * y,x \ 1) = ((T(x,y) \ 1) \ 1) \ (1 / x). [para(5569(a,1),3343(a,1,2))]. 5572 L(1 / x,y,x) \ (1 / y) = x * (1 / y). [hyper(227,a,140,a(flip),b,5553,a)]. 5574 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5219(a,1),5135(a,2,1,1))]. 5575 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(42(a,2),5250(a,2,2))]. 5576 ((1 / x) * y) \ ((z \ u) \ u) = (y \ x) / T(1 / z,u). [hyper(1329,a,5319,a)]. 5578 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(4989(a,1),5355(a,1,1))]. 5579 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(65(a,1),5578(a,1,1,2)),flip(a)]. 5580 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5578(a,1),109(a,1,1))]. 5581 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4220(a,1),5578(a,1,1)),flip(a)]. 5582 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(227,a,5512,a(flip),b,5581,a(flip)),flip(a)]. 5583 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(5581(a,1),4996(a,2,2))]. 5584 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(5582(a,1),5520(a,1,1,2,2))]. 5585 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(14(a,1),5357(a,1,2,1))]. 5586 (1 / x) \ (y * K(z,z \ 1)) = x / ((y \ z) * (1 / z)). [para(3683(a,1),5386(a,2,2))]. 5587 ((x * K(y,y \ 1)) \ z) * ((x \ y) * (1 / y)) = ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))). [para(5390(a,1),1236(a,1,1))]. 5588 (x * K(y,y \ 1)) \ (1 / z) != u | ((x \ y) * (1 / y)) / z = u. [para(5390(a,1),1234(a,1))]. 5589 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(4656(a,2),5400(a,1,2,1))]. 5590 (x * ((y \ x) \ 1)) * y = L(y,x,x) / (y \ 1). [para(1370(a,1),5412(a,1,1)),flip(a)]. 5591 (x * ((y \ x) \ 1)) * y = (1 / L(y,x,x)) \ y. [hyper(227,a,317,a(flip),b,5590,a)]. 5592 (x * ((y \ x) \ 1)) * y = (x \ (x / y)) \ y. [para(1033(a,1),5591(a,2,1))]. 5593 (K(x,x \ 1) / y) * (K(x,x \ 1) * z) = (1 / y) * z. [para(3087(a,2),5415(a,1,2))]. 5594 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5036(a,1),5434(a,1,1,1)),flip(a)]. 5595 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(5594(a,1),113(a,1,2)),flip(a)]. 5596 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5475,a,5478,a),flip(a)]. 5597 K(x \ R(x,y,z),R(x,u,w)) = 1. [hyper(227,a,52,a(flip),b,5488,a)]. 5598 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5488(a,2),199(a,1))]. 5600 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(71,a,5597,a,b,5094,a),flip(a)]. 5602 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5248(a,1),5513(a,1,1))]. 5603 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(3811,a,5516,a),flip(a)]. 5604 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(17,a,3926,a(flip),b,5535,a)]. 5605 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5547(a,2,2,2,1))]. 5606 (K(x,y) \ y) * (1 / y) = K(y * x,y \ 1). [para(4954(a,2),5570(a,1,1,1))]. 5607 K(x * y,x \ 1) = T(x,y) * (1 / x). [para(4971(a,2),5606(a,1,1)),flip(a)]. 5608 T(x,y) \ K(x * y,x \ 1) = 1 / x. [hyper(72,a,5607,a,b,xx)]. 5609 (1 / x) * ((1 / x) * (1 / K(x * y,x \ 1))) = 1 / (T(x,y) / (1 / x)). [para(5607(a,2),3416(a,1,2,2,2))]. 5610 T(x,y) * (1 / x) != z | K(x * y,x \ 1) = z. [para(5608(a,1),205(a,1,2)),flip(b)]. 5612 (1 / x) * K(x \ 1,x * y) = T(x,y) \ 1. [para(5608(a,1),5105(a,1,1))]. 5613 (1 / x) * K(x,(x * y) \ 1) = T(x,y) \ 1. [para(5378(a,1),5612(a,1,2))]. 5614 (1 / x) * K(x,y \ (x \ 1)) = T(x,y) \ 1. [para(123(a,1),5613(a,1,2,2))]. 5615 ((x \ y) / T(1 / z,(1 / y) * x)) * (1 / ((1 / y) * x)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). [para(5576(a,1),1598(a,1,1))]. 5616 (x * (1 / (y * x))) * (K(x,x \ 1) * z) = (1 / y) * z. [para(3664(a,1),5593(a,1,1))]. 5617 (x \ ((1 / y) * z)) * (((z \ y) \ 1) \ 1) = x \ K(y \ z,z \ y). [para(5604(a,1),3923(a,1,2)),flip(a)]. 5618 K(x,x \ 1) * ((1 / y) \ z) = (x * (1 / (y * x))) \ z. [hyper(72,a,14,a(flip),b,5616,a),flip(a)]. 5619 ((1 / x) \ y) * K(z,z \ 1) = (z * (1 / (x * z))) \ y. [hyper(3093,a,5618,a)]. 5622 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(227,a,3516,a,b,5080,a(flip)),flip(a)]. 5623 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4957(a,1),5427(a,1,1))]. 5624 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(5623,a,xx),flip(a)]. 5625 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(4017(a,1),5624(a,1,1)),flip(a)]. 5626 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5084(a,1),5624(a,1,1,1)),flip(a)]. 5627 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5432(a,1),5624(a,1,1)),flip(a)]. 5628 L(K(x,y),x,z) = K(((z * x) \ z) \ 1,y). [para(156(a,1),5625(a,1,1,1)),flip(a)]. 5629 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5625(a,1),5084(a,1,1)),flip(a)]. 5630 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(227,a,5499,a(flip),b,5629,a(flip))]. 5631 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(227,a,4467,a,b,5630,a(flip)),flip(a)]. 5632 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5631(a,1),281(a,1,1)),flip(b)]. 5634 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5160(a,1),5470(a,1,1)),flip(a)]. 5635 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(227,a,40,a,b,5634,a)]. 5636 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5635(a,1),44(a,1,1)),flip(a)]. 5637 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(4802(a,1),5509(a,1,1))]. 5638 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(16(a,1),5637(a,2,1,1,2))]. 5639 (K(x,y \ 1) * z) * u != w * (z * u) | K(x,R(y,z,u) \ 1) = w. [para(5580(a,1),20(a,1))]. 5640 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(2838,a,5154,a),flip(a)]. 5641 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(5164(a,1),1750(a,1,1,1))]. 5642 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(585(a,1),5511(a,1,1,1)),flip(a)]. 5643 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(65(a,1),5541(a,2,1,1))]. 5644 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),5643(a,1,2,2)),flip(a)]. 5646 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(420,a,5644,a,b,xx),flip(a)]. 5647 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(73,a,5644,a,b,xx)]. 5649 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(4017(a,1),5542(a,2,1))]. 5651 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),5649(a,1,2,2))]. 5653 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5248(a,2),5544(a,1,2))]. 5654 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5463(a,1),5544(a,1,2)),flip(a)]. 5655 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(330,a,5602,a)]. 5656 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5090(a,1),5640(a,1,2)),flip(a)]. 5657 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(227,a,5148,a(flip),b,5656,a)]. 5658 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),5657(a,1,1,1)),flip(a)]. 5659 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(78,a,5653,a)]. 5660 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(5654(a,2),19(a,1))]. 5661 (x / y) / (z * (1 / y)) = (y * (1 / x)) \ (y / z). [para(5572(a,1),5554(a,1,2))]. 5662 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(2465(a,1),5658(a,1,1)),flip(a)]. 5663 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(227,a,2554,a(flip),b,5662,a)]. 5665 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5123(a,1),5329(a,2,2))]. 5666 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5117(a,1),5665(a,1,2))]. 5667 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(5647(a,1),5461(a,2,1,1))]. 5668 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5522(a,1,1,2,2,1))]. 5669 ((1 / x) * y) * ((((y \ x) / z) \ 1) \ 1) = z \ K(x \ y,y \ x). [hyper(227,a,4072,a(flip),b,5617,a(flip)),flip(a)]. 5670 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5622(a,1),14(a,1,2))]. 5671 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(227,a,44,a(flip),b,5636,a)]. 5672 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(872,a,5646,a)]. 5673 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5672(a,1),5627(a,1,1,1)),flip(a)]. 5674 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(227,a,5432,a(flip),b,5673,a)]. 5675 K(x \ y,y \ x) * (z \ 1) = z \ K(y \ x,x \ y). [hyper(227,a,4298,a(flip),b,5669,a(flip)),flip(a)]. 5676 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5168(a,1),881(a,2,1)),flip(a)]. 5677 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5371,a,5676,a)]. 5678 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5170(a,1),1750(a,1,1,1))]. 5679 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(1482(a,2),5277(a,1,2,2,1))]. 5680 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(227,a,5459,a(flip),b,5565,a(flip))]. 5681 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(44(a,1),5680(a,1,1))]. 5682 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(13(a,1),5641(a,2,1,1))]. 5683 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(3321(a,1),5679(a,1,2))]. 5684 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(452,a,5007,a)]. 5685 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(227,a,3526,a(flip),b,5684,a(flip)),flip(a)]. 5686 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(227,a,4930,a,b,5685,a(flip)),flip(a)]. 5687 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(227,a,4626,a,b,5686,a(flip)),flip(a)]. 5688 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(227,a,4266,a(flip),b,5687,a(flip)),flip(a)]. 5689 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(227,a,5685,a,b,5688,a)]. 5690 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(65(a,1),5655(a,1,1,1,1,2)),flip(a)]. 5691 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(227,a,5033,a(flip),b,5185,a)]. 5692 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(5691(a,1),282(a,1,2)),flip(b)]. 5693 K(x * (y * z),(z \ (y \ (x \ 1))) \ 1) = K(a(x,y,z),(y * z) \ (x \ 1)). [hyper(5402,a,5203,a)]. 5694 x * L(y / (1 / (y \ x)),y \ x,y) = ((x \ 1) \ y) * (y \ x). [para(1267(a,1),5418(a,2,1))]. 5695 x * L(y / ((1 / x) * y),y \ x,y) = ((x \ 1) \ y) * (y \ x). [para(313(a,1),5694(a,1,2,1,2))]. 5696 x * L(y \ (y / (1 / x)),y \ x,y) = ((x \ 1) \ y) * (y \ x). [para(944(a,1),5695(a,1,2,1))]. 5697 x * L(y * ((x \ y) \ 1),y \ x,y) = ((x \ 1) \ y) * (y \ x). [para(5410(a,1),5696(a,1,2,1))]. 5698 ((x \ 1) \ y) * (y \ x) = x * (y * ((x \ y) \ 1)). [para(4491(a,1),5697(a,1,2)),flip(a)]. 5699 ((x \ 1) \ y) * (y \ x) = (y \ (y / x)) \ x. [hyper(227,a,2239,a(flip),b,5698,a)]. 5701 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(13(a,1),5678(a,2,1,1))]. 5702 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5108(a,1),5034(a,2,1))]. 5703 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4978(a,1),5702(a,1,1,1))]. 5704 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(5703(a,1),65(a,1,1))]. 5705 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(2481(a,1),5704(a,1,1,2))]. 5706 (x \ R(y,z,u)) * K((R(y,z,u) \ 1) \ 1,w) = x \ R(T(y,w),z,u). [para(249(a,1),5575(a,1,2,1,1))]. 5708 (x \ R(y,z,u)) * K(R(y,z,u),w) = x \ R(T(y,w),z,u). [para(4017(a,1),5706(a,1,2))]. 5709 L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))). [para(100(a,1),5489(a,1,2)),flip(a)]. 5710 (((x / y) * y) \ (x / y)) / (y * (y \ (x / y))) = 1 / (y * ((y \ 1) * x)). [para(1099(a,1),5530(a,1,1))]. 5711 (x \ (x / y)) / (y * (y \ (x / y))) = 1 / (y * ((y \ 1) * x)). [para(16(a,1),5710(a,1,1,1))]. 5712 (x \ (x / y)) / (x / y) = 1 / (y * ((y \ 1) * x)). [para(14(a,1),5711(a,1,2))]. 5713 ((x / y) * x) \ (x / y) = 1 / (y * ((y \ 1) * x)). [hyper(971,a,5712,a)]. 5715 ((x / y) * x) \ (x / y) = 1 / L(x,y,y). [para(1389(a,1),5713(a,2,2))]. 5716 ((x / y) * x) \ (x / y) != z | y \ (y / x) = z. [para(5715(a,2),1035(a,1))]. 5717 (T(x,y) \ (1 / T(x,y))) * K(x * y,x \ 1) = ((T(x,y) \ 1) \ 1) \ (1 / x). [para(1257(a,1),5571(a,1,1))]. 5718 (T(x,y) \ 1) * (T(x,y) \ K(x * y,x \ 1)) = ((T(x,y) \ 1) \ 1) \ (1 / x). [hyper(227,a,2384,a(flip),b,5717,a(flip)),flip(a)]. 5719 ((T(x,y) \ 1) \ 1) \ (1 / x) = (T(x,y) \ 1) * (1 / x). [para(5608(a,1),5718(a,1,2)),flip(a)]. 5721 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5362(a,1),5667(a,1,1,2))]. 5722 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(227,a,768,a(flip),b,5721,a)]. 5724 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(5722(a,1),16(a,1,1))]. 5726 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(113(a,1),5724(a,1,2)),flip(a)]. 5727 K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. [para(4970(a,1),5724(a,1,2)),flip(a)]. 5728 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(2481(a,1),5705(a,1,2))]. 5729 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(227,a,5449,a(flip),b,5728,a)]. 5730 L(x,y * (1 / (z * y)),y * (1 / (z * y))) = (1 / z) * (z * x). [hyper(227,a,5616,a(flip),b,4616,a(flip))]. 5732 L(x,y * (1 / (z * y)),y * (1 / (z * y))) = L(x,z,z). [hyper(227,a,1021,a(flip),b,5730,a)]. 5733 L(a(x,y,z),x * (y * z),u \ ((y * z) \ (x \ 1))) = u / (((x * y) * z) \ ((x * (y * z)) * u)). [para(123(a,1),4606(a,1,3,2))]. 5734 (x * (1 / (y * x))) \ ((((y \ x) \ 1) \ 1) * z) = ((y \ 1) \ 1) / (z \ ((y \ x) \ 1)). [para(3966(a,1),4632(a,1,1))]. 5735 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(215,a,4680,a),flip(a)]. 5737 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(227,a,4772,a(flip),b,5735,a(flip))]. 5738 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4734(a,1),5737(a,1,1)),flip(a)]. 5739 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(1543(a,1),5738(a,1,2,1,2)),flip(a)]. 5740 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(1543(a,1),5739(a,1,1)),flip(a)]. 5741 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),5740(a,1,2,2)),flip(a)]. 5742 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),5741(a,1,2)),flip(a)]. 5743 L(x,y \ T(y,z),y) = x. [hyper(861,a,5742,a)]. 5744 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(85,a,5742,a)]. 5747 x * (K(x,y) * z) = T(x,y) * z. [para(4958(a,2),5742(a,1,2,1))]. 5748 L(x,y,y \ T(y,z)) = x. [hyper(3183,a,5743,a)]. 5749 L(x,T(y,T(z,y)) \ y,z) = x. [para(4700(a,2),5743(a,1,2))]. 5750 L(x,K(y,z),y) = x. [para(4958(a,2),5743(a,1,2))]. 5751 L(x,K(y,z),y) = L(x,u,K(w,w \ 1)). [hyper(227,a,4552,a,b,5750,a)]. 5754 L(x,K(y,z),z) = x. [para(5199(a,1),5750(a,1,2))]. 5756 L(x,K(y,z),1 / y) = x. [para(5383(a,1),5750(a,1,2))]. 5757 K(x,y) * (1 / x) = K(x,y) / x. [para(5750(a,1),5552(a,1,2))]. 5758 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5754(a,1),100(a,1,2))]. 5762 L(x,y,K(y,z)) = x. [para(4958(a,2),5748(a,1,3))]. 5765 L(x,y,K(y,z)) = 1 * x. [hyper(227,a,11,a,b,5762,a)]. 5766 (K(x,y) * x) * z = K(x,y) * (x * z). [para(5762(a,1),100(a,1,2))]. 5769 L(x,y,K(z,y)) = x. [para(5199(a,1),5762(a,1,3))]. 5770 L(x,y / z,K(y,z)) = x. [para(5202(a,1),5762(a,1,3))]. 5773 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5769(a,1),100(a,1,2))]. 5775 (1 / x) * (K(x,y) * z) = (K(x,y) / x) * z. [para(5756(a,1),3028(a,1,2)),flip(a)]. 5779 L(x,y,K(y,z)) != u | u = x. [para(5765(a,2),74(a,1))]. 5780 K(x,y) * (x / y) = T(x,y) / y. [para(5770(a,1),5065(a,1,2)),flip(a)]. 5781 L(x,y,K(z,y)) != u | u = x. [para(5199(a,1),5779(a,1,3))]. 5782 L(x,T(y,z) \ y,(y * z) / y) = x. [para(160(a,1),5749(a,1,2,1,2))]. 5783 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(586,a,5747,a),flip(a)]. 5784 T(x,y) * (K(x,y) \ z) = x * z. [hyper(308,a,5747,a),flip(a)]. 5785 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(227,a,5138,a(flip),b,5747,a)]. 5787 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(72,a,5424,a(flip),b,5747,a),flip(a)]. 5788 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(72,a,14,a(flip),b,5747,a),flip(a)]. 5789 K(x / y,z) * x = y * T(y \ x,z). [hyper(17,a,2081,a,b,5747,a)]. 5790 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,1930,a,b,5747,a)]. 5791 T(x,y) * (x \ z) = K(x,y) * z. [hyper(17,a,1925,a,b,5747,a),flip(a)]. 5792 K(x,y) * (x * z) = z * T(T(x,z),y). [hyper(17,a,1921,a,b,5747,a)]. 5793 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(17,a,2725,a(flip),b,5747,a)]. 5794 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,2723,a(flip),b,5747,a)]. 5795 K(x,y) * (x * z) = T(x,y) * z. [hyper(17,a,1923,a(flip),b,5747,a)]. 5796 T(x,y) * z != x * u | K(x,y) * z = u. [para(5747(a,1),19(a,1))]. 5797 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5747(a,1),24(a,2,2,1)),flip(a)]. 5798 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(113(a,1),5747(a,1,2)),flip(a)]. 5799 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(5747(a,1),282(a,1,2)),flip(b)]. 5800 ((x * y) * (K(y,z) * u)) / (T(y,z) * u) != w | R(x,y,K(y,z) * u) = w. [para(5747(a,1),506(a,1,2))]. 5801 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(3070(a,1),5747(a,1,2))]. 5802 (x / y) * K(x,y) = T(x,y) / y. [hyper(5218,a,5780,a)]. 5803 (x \ y) / (T(x,z) \ y) = K(x,z). [para(5783(a,1),62(a,1,2))]. 5804 K(x,y) * (T(x,y) \ z) != u | x \ z = u. [para(5783(a,1),205(a,1,2)),flip(b)]. 5805 T(x,y) * z != x * u | K(x,y) \ u = z. [para(5784(a,1),19(a,1)),flip(a)]. 5806 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5788(a,1),19(a,1))]. 5807 K(x / y,y) * ((y \ x) \ z) = (x / y) \ z. [para(115(a,1),5788(a,1,2,1))]. 5809 K(x,y) \ (x \ z) != u | T(x,y) \ z = u. [para(5788(a,1),282(a,1,2)),flip(b)]. 5810 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(1680,a,5791,a)]. 5811 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(227,a,5219,a,b,5791,a)]. 5813 x \ (K(x,y) \ z) = T(x,y) \ z. [hyper(72,a,14,a(flip),b,5791,a),flip(a)]. 5814 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(227,a,5747,a,b,5791,a(flip)),flip(a)]. 5815 (x * y) / ((x * y) * x) = K(y,x \ y) * (x \ 1). [hyper(227,a,2568,a,b,5791,a(flip)),flip(a)]. 5817 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(72,a,5791,a(flip),b,5747,a)]. 5818 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),5791(a,1,2)),flip(a)]. 5819 (x \ y) * ((y / x) \ z) = K(y / x,x) * z. [para(115(a,1),5791(a,1,1))]. 5822 ((K(x,y) * z) \ T(x,y)) * T(x,y) = (x \ z) \ T(x,y). [para(5791(a,1),950(a,1,1,1))]. 5823 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4958(a,2),5791(a,1,2)),flip(a)]. 5824 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(227,a,5747,a,b,5795,a)]. 5825 K(x,x \ y) * (x * z) = ((x \ y) \ y) * z. [hyper(227,a,244,a(flip),b,5795,a)]. 5826 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),5795(a,2,1))]. 5827 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5795(a,1),308(a,1))]. 5829 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(176(a,1),5795(a,1,2))]. 5830 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(177(a,1),5795(a,1,2))]. 5831 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(5795(a,1),466(a,1,1))]. 5832 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5795(a,1),484(a,1,2))]. 5834 K(x \ 1,y) * ((1 / x) * z) = T(1 / x,y) * z. [para(4018(a,1),5795(a,1,1))]. 5835 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5803(a,1,2,1))]. 5836 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(72,a,5782,a(flip),b,4902,a),flip(a)]. 5837 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2932,a,5794,a)]. 5838 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(72,a,5794,a(flip),b,5006,a)]. 5839 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(72,a,5837,a(flip),b,5747,a),flip(a)]. 5840 R(x,x \ T(x,y),z) = x. [hyper(867,a,5744,a)]. 5842 R(x,K(x,y),z) = x. [para(4958(a,2),5840(a,1,2))]. 5843 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(5842(a,1),501(a,1,1,1)),flip(a)]. 5844 R(x,K(y,x),z) = x. [para(5199(a,1),5842(a,1,2))]. 5845 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5844(a,1),500(a,1,1,1)),flip(a)]. 5847 L(x,K(y,z),y) != u | u = x. [para(5751(a,2),360(a,1))]. 5852 L(x,K(y,z),z) != u | u = x. [para(5199(a,1),5847(a,1,2))]. 5853 ((x * y) / x) * z = y * (K(x,y) * z). [para(4977(a,2),5758(a,1,1))]. 5854 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4980(a,2),5758(a,1,1))]. 5855 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5011(a,1),5758(a,1,1)),flip(a)]. 5856 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(5639,a,5766,a)]. 5857 R(K(x,y),x,z) = K(x,y). [hyper(495,a,5766,a)]. 5858 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(5857(a,1),5642(a,1,1)),flip(a)]. 5859 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),5856(a,1,2,1))]. 5860 R(K(x,y),y,z) = K(x,y). [hyper(495,a,5773,a)]. 5861 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2922(a,1),5773(a,1,1))]. 5862 K(x,y) * (y * z) = ((x * y) / x) * z. [para(5010(a,2),5773(a,1,1)),flip(a)]. 5863 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(166,a,5789,a,b,5248,a(flip))]. 5864 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(73,a,1647,a(flip),b,5789,a)]. 5865 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(73,a,1636,a(flip),b,5789,a)]. 5866 K((x \ y) / y,z) = K(x \ 1,z). [hyper(18,a,5258,a,b,5789,a)]. 5867 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,5251,a,b,5789,a),flip(a)]. 5868 K(x / (y * x),z) = K(y \ 1,z). [hyper(18,a,5259,a(flip),b,5789,a)]. 5870 K((x * y) \ x,z) = K(y \ 1,z). [para(967(a,1),5866(a,1,1))]. 5871 K(1 / (x / y),z) = K(y / x,z). [hyper(5442,a,5867,a)]. 5873 K(x * (y \ 1),z) = K(x / y,z). [para(125(a,1),5867(a,1,1))]. 5874 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5867(a,1),5084(a,1,1)),flip(a)]. 5875 K(x / (y * x),z) = K(y,z \ 1). [hyper(227,a,5378,a(flip),b,5868,a)]. 5877 K((x \ y) \ 1,z) = K(y \ x,z). [para(945(a,1),5868(a,1,1)),flip(a)]. 5881 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(113(a,1),5870(a,1,1,1)),flip(a)]. 5883 K(x * (y * (z \ 1)),u) = K(x / (z / y),u). [para(125(a,1),5873(a,1,1,2))]. 5884 K(x / ((1 / y) * z),u) = K(x * (z \ y),u). [para(250(a,1),5873(a,1,1,2)),flip(a)]. 5885 K(x / T(y,x),z) = K(y \ x,z). [para(659(a,1),5873(a,1,1)),flip(a)]. 5886 K(T(x,y) / y,z) = K(y \ x,z). [para(1244(a,1),5873(a,1,1)),flip(a)]. 5888 K(x \ y,z \ 1) = K(y \ x,z). [para(945(a,1),5875(a,1,1)),flip(a)]. 5889 K(x / (y * x),z) != u | K(y \ 1,z) = u. [para(5875(a,2),5393(a,1))]. 5890 K((x \ 1) \ y,z) = K(x * y,z). [hyper(5443,a,5877,a),flip(a)]. 5892 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(227,a,3526,a(flip),b,5877,a)]. 5893 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(227,a,767,a(flip),b,5877,a)]. 5894 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(227,a,5247,a,b,5877,a(flip)),flip(a)]. 5895 (x \ y) \ K(y \ x,z) = T((x \ y) \ 1,z). [hyper(72,a,5877,a(flip),b,4957,a)]. 5896 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(102(a,2),5877(a,1,1,1))]. 5900 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(5877(a,1),5084(a,1,1)),flip(a)]. 5902 x * T(x \ y,z) = y * K(x \ y,z). [para(5877(a,1),5248(a,2,2))]. 5903 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(5877(a,1),5443(a,1))]. 5904 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(5877(a,1),5462(a,2,2))]. 5905 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5877(a,1),5624(a,1,1)),flip(a)]. 5906 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5877(a,1),5690(a,1,2))]. 5907 K((1 / x) * y,z) = K(x \ y,z). [para(1202(a,1),5885(a,1,1))]. 5908 K(T(x / y,x),z) = K(y \ x,z). [para(1223(a,1),5885(a,1,1))]. 5909 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(227,a,5885,a,b,5886,a)]. 5910 K(x,(y \ z) * x) = K(z \ y,x). [hyper(5405,a,5888,a)]. 5911 K(x,x * (y \ z)) = K(z \ y,x). [hyper(227,a,5340,a(flip),b,5888,a(flip)),flip(a)]. 5912 K(x \ y,x \ 1) != z | K(x,y) = z. [para(5888(a,2),5242(a,1))]. 5913 ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z). [para(5890(a,1),4996(a,2,2)),flip(a)]. 5914 L(K(x,y),x,z) = K(x,y). [hyper(227,a,5628,a,b,5893,a(flip)),flip(a)]. 5917 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5893(a,1),5054(a,1,2))]. 5918 (x * y) * K(y,z) = x * T(y,z). [para(5893(a,1),5249(a,1,2))]. 5920 a(x,y,K(y,z)) = 1. [hyper(34,a,5914,a)]. 5921 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(227,a,5002,a,b,5914,a(flip)),flip(a)]. 5922 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(227,a,5709,a(flip),b,5914,a(flip)),flip(a)]. 5923 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5914(a,1),592(a,1,2,1))]. 5924 L(x \ T(x,y),x,z) = K(x,y). [para(4958(a,1),5914(a,1,1))]. 5926 a(x,y,K(z,y)) = 1. [para(5199(a,1),5920(a,1,3))]. 5927 a(x,y,K(y * z,z)) = 1. [para(5201(a,2),5920(a,1,3))]. 5928 a(x,y,K(z,y * z)) = 1. [para(5337(a,1),5920(a,1,3))]. 5929 a(x,y \ 1,K(y,z)) = 1. [para(5379(a,1),5920(a,1,3))]. 5930 L(K(x,y),y,z) = K(x,y). [hyper(33,a,5926,a)]. 5931 L(K(x * y,y),x,z) = K(x * y,y). [hyper(33,a,5927,a)]. 5932 L(K(x,y * x),y,z) = K(x,y * x). [hyper(33,a,5928,a)]. 5933 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,5929,a)]. 5934 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(227,a,5501,a(flip),b,5930,a(flip)),flip(a)]. 5935 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(5930(a,1),45(a,1,1)),flip(a)]. 5936 (x * y) * K(z,y) = x * (y * K(z,y)). [para(5930(a,1),100(a,1,2))]. 5938 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(227,a,483,a(flip),b,5924,a(flip)),flip(a)]. 5939 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(227,a,5497,a(flip),b,5933,a(flip)),flip(a)]. 5940 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(5933(a,1),100(a,1,2))]. 5941 K((1 / x) * y,x \ 1) = K(x,y). [hyper(227,a,5345,a(flip),b,5907,a)]. 5942 K(x \ ((1 / x) \ y),z) = K(y,z). [para(14(a,1),5907(a,1,1)),flip(a)]. 5944 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(5907(a,1),4805(a,1,2))]. 5945 K((x \ y) \ y,z) = K(T(x,y),z). [para(62(a,1),5908(a,1,1,1)),flip(a)]. 5946 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(227,a,5199,a,b,5911,a),flip(a)]. 5947 R(x,y,K(y,z)) = x. [hyper(5053,a,5918,a)]. 5949 (x / y) * T(y,z) = x * K(y,z). [hyper(306,a,5918,a),flip(a)]. 5953 (x * (y \ z)) * K(y \ z,y \ 1) = x * (z * (y \ 1)). [para(626(a,1),5918(a,2,2))]. 5954 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(5918(a,1),527(a,1,2))]. 5955 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5918(a,1),498(a,1,1))]. 5957 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4970(a,1),5918(a,1,1)),flip(a)]. 5960 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(5947(a,1),4343(a,1,1,1))]. 5962 R(x,y,K(z,y \ 1)) = x. [para(5337(a,2),5947(a,1,3))]. 5966 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5921(a,1),205(a,1,2)),flip(b)]. 5967 K(x * (y \ z),x) = K(x,z \ y). [hyper(5341,a,5934,a)]. 5968 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(4590,a,5934,a)]. 5971 K(x \ y,z \ u) = K(y \ x,u \ z). [hyper(227,a,5888,a(flip),b,5934,a(flip))]. 5972 K(x * (y * z),(y \ (x \ 1)) \ z) = K(a(x,y,z),(y * z) \ (x \ 1)). [hyper(227,a,5693,a(flip),b,5934,a(flip))]. 5973 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),5934(a,1,2,1)),flip(a)]. 5974 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),5934(a,2,2))]. 5975 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),5934(a,1,2,1)),flip(a)]. 5977 K(x,(y \ (y / z)) \ 1) = K(x,z). [para(65(a,1),5934(a,2,2))]. 5978 K(x,((y / z) * u) \ y) = K(x,y \ ((u / y) \ z)). [para(1592(a,1),5934(a,1,2)),flip(a)]. 5980 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(5934(a,1),4811(a,2,2))]. 5981 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5934(a,1),5359(a,1,2))]. 5982 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(5934(a,1),5543(a,2,2))]. 5983 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(5934(a,1),5578(a,1,1)),flip(a)]. 5984 R(x,y \ z,K(u,z \ y)) = x. [para(5934(a,1),5962(a,1,3))]. 5985 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(5984(a,1),491(a,1,1))]. 5986 (1 / x) * ((y / x) \ T(y,z)) = K(y,z). [hyper(227,a,1523,a,b,5938,a(flip)),flip(a)]. 5987 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [hyper(72,a,5938,a(flip),b,1523,a)]. 5989 K((x \ y) \ T(y,x),z) = K(x,z). [para(1208(a,2),5942(a,1,1,2))]. 5990 K(T(x,y),z) = T(K(x,z),y). [hyper(227,a,5436,a(flip),b,5945,a(flip))]. 5991 K(T(x,y * x),z) = K(T(x,y),z). [para(1962(a,2),5945(a,1,1)),flip(a)]. 5992 K(T(x,K(y,z)),y) = K(x,y). [hyper(227,a,3067,a(flip),b,5990,a)]. 5993 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(227,a,5440,a(flip),b,5990,a(flip))]. 5994 x * K(T(y,x),z) = K(y,z) * x. [para(5990(a,2),113(a,1,2))]. 5996 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5990(a,1),5004(a,2,1)),flip(a)]. 5997 T(K(x,y),z) \ 1 = K(y,T(x,z)). [para(5990(a,1),5084(a,1,1))]. 5998 T(K(x,y),z) \ 1 != u | K(y,T(x,z)) = u. [para(5990(a,1),5096(a,1,1))]. 5999 (K(x,y) * z) * K(T(y,z),x) = z. [para(5990(a,2),5291(a,1,2))]. 6000 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(5992(a,1),5004(a,2,1)),flip(a)]. 6001 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(5992(a,1),5837(a,1,2))]. 6002 (x * T(y,z)) / y = x * K(y,z). [hyper(2557,a,5949,a)]. 6003 (x / T(y,z)) * K(y,z) = x / y. [hyper(2509,a,5949,a),flip(a)]. 6005 (x / T(y,z)) \ (x / y) = K(y,z). [hyper(72,a,2455,a(flip),b,5949,a(flip))]. 6007 (x * K(y,z)) * y = x * T(y,z). [para(5949(a,1),2451(a,1,1))]. 6008 (x * K(y,z)) \ (x * T(y,z)) = y. [para(5949(a,1),2456(a,1,1))]. 6009 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(5949(a,1),2449(a,1,1)),flip(a)]. 6010 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(227,a,5211,a,b,5967,a),flip(a)]. 6011 K(x,(1 / y) * z) = K(x,y \ z). [para(313(a,1),5968(a,1,2))]. 6012 K(x,T(y / z,y)) = K(x,z \ y). [para(642(a,2),5968(a,1,2))]. 6013 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(792(a,1),5968(a,1,2))]. 6014 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(5968(a,1),4809(a,2,2))]. 6016 K(x,(y / z) \ 1) = K(x,z / y). [para(963(a,1),5973(a,1,2)),flip(a)]. 6017 K(x,y / (z * y)) = K(x,z \ 1). [para(968(a,1),5973(a,1,2))]. 6019 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(227,a,5930,a,b,5974,a),flip(a)]. 6020 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(227,a,4807,a,b,5974,a(flip)),flip(a)]. 6021 K(x,L(y,z,z)) = K(x,y). [para(1031(a,1),5977(a,1,2))]. 6022 K(x,L(y,z \ 1,z)) = K(x,y). [para(1401(a,1),5977(a,1,2))]. 6023 K(x,T(T(y,z),z \ 1)) = K(x,y). [para(1023(a,2),6021(a,1,2))]. 6024 K(x,y * (z \ 1)) = K(x,y / z). [para(1030(a,1),6021(a,1,2))]. 6025 K(x,y / (1 / z)) = K(x,y * z). [para(1314(a,1),6021(a,1,2))]. 6026 K(x,(y \ 1) \ z) = K(x,y * z). [para(1348(a,1),6021(a,1,2))]. 6027 K(x,T(y,y * z)) = K(x,T(y,z)). [para(1567(a,2),6021(a,1,2))]. 6028 K(x,L(y,z,z \ 1)) = K(x,y). [para(3611(a,2),6021(a,1,2))]. 6029 T(x,L(y,z,z)) = K(x,y) * x. [para(6021(a,1),5004(a,2,1))]. 6030 K(x,L(y,z,y)) = K(x,y). [para(5525(a,1),6021(a,1,2))]. 6031 K(x,R(y,z,y)) = K(x,y). [para(2875(a,1),6030(a,1,2)),flip(a)]. 6032 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(227,a,5101,a,b,6031,a)]. 6033 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(2540(a,1),6031(a,1,2))]. 6034 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(6031(a,1),5449(a,1,2)),flip(a)]. 6035 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(605(a,1),6022(a,1,2)),flip(a)]. 6036 T(x,L(y,z,z)) = T(x,y). [hyper(227,a,5004,a,b,6029,a)]. 6037 T(x,L(y,z,z)) != u | T(x,y) = u. [para(6029(a,2),5005(a,1))]. 6038 T(x,(1 / y) * z) = T(x,y \ z). [para(1020(a,1),6036(a,1,2))]. 6039 T(x,y * (z \ 1)) = T(x,y / z). [para(1030(a,1),6036(a,1,2))]. 6040 T(x,(y \ z) \ 1) = T(x,z \ y). [para(1034(a,1),6036(a,1,2))]. 6041 T(x,(y \ z) / z) = T(x,y \ 1). [para(1300(a,1),6036(a,1,2))]. 6042 T(x,(y * z) \ y) = T(x,z \ 1). [para(1301(a,1),6036(a,1,2))]. 6043 T(x,y / (1 / z)) = T(x,y * z). [para(1314(a,1),6036(a,1,2))]. 6044 T(x,(y \ 1) \ z) = T(x,y * z). [para(1348(a,1),6036(a,1,2))]. 6045 T(x,T(y,y * z)) = T(x,T(y,z)). [para(1567(a,2),6036(a,1,2))]. 6046 T(x,L(y,z,y)) = T(x,y). [para(5525(a,1),6036(a,1,2))]. 6047 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(408,a,6046,a),flip(a)]. 6050 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(6046(a,1),113(a,1,2))]. 6051 T(x,R(y,z,y)) = T(x,y). [para(2875(a,1),6046(a,1,2)),flip(a)]. 6052 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(408,a,6051,a),flip(a)]. 6053 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(6051(a,1),113(a,1,2))]. 6054 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(2540(a,1),6051(a,1,2))]. 6055 T(x,(y * z) / y) = T(x,y / (y / z)). [para(3292(a,1),6051(a,1,2))]. 6056 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6032(a,2),5107(a,1))]. 6057 K(R(x,y,x),z) = K(x,z). [para(2537(a,1),5989(a,1,1))]. 6058 K(T(x,x * y),z) = K(T(x,y),z). [para(2558(a,1),6057(a,1,1)),flip(a)]. 6059 x * K(R(x,y,x),z) = T(x,z). [para(6057(a,2),4996(a,2,2)),flip(a)]. 6060 K(x,y) * R(x,z,x) = T(R(x,z,x),y). [para(6057(a,1),5004(a,2,1)),flip(a)]. 6061 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(6057(a,1),5729(a,1,1,1,1))]. 6062 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(72,a,6059,a(flip),b,5683,a),flip(a)]. 6063 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2291,a,5994,a),flip(a)]. 6064 x * K(T(y,z),u) != K(y,u) * z | x = z. [para(5994(a,1),20(a,2))]. 6065 K((x * y) / x,z) * x = x * K(y,z). [para(160(a,1),5994(a,1,2,1)),flip(a)]. 6066 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(5997(a,1),4954(a,2,2)),flip(a)]. 6067 x * K(T(y,z),u) != z | K(u,y) * z = x. [para(5999(a,1),20(a,1)),flip(a)]. 6068 x * T(y * K(x,z),x) = y * T(x,z). [para(6002(a,1),165(a,1,2,1))]. 6069 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6002(a,1),207(a,1,1)),flip(b)]. 6070 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6002(a,1),408(a,1,1))]. 6072 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [para(4934(a,1),6003(a,1,1))]. 6074 T(x \ 1,y) \ (1 / x) = K(x,x \ y). [para(795(a,1),6005(a,1,1))]. 6075 R(x,K(y,z),y) = x. [hyper(5068,a,6007,a)]. 6077 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(227,a,2928,a,b,6007,a)]. 6080 x / R(y,y \ x,y) = (y \ x) * K(y,x). [hyper(18,a,5663,a,b,6007,a),flip(a)]. 6081 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6007(a,1),24(a,2,1,2)),flip(a)]. 6082 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6007(a,1),156(a,2,1))]. 6084 T(x,y) * T(x,y) = x * T(T(x,y),y). [para(5083(a,1),6007(a,1,1))]. 6088 R(x,K(y,z),z) = x. [para(5199(a,1),6075(a,1,2))]. 6090 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6088(a,1),2936(a,1,1)),flip(a)]. 6092 L(x,K(x,y),z) = x. [hyper(5067,a,6008,a)]. 6093 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(227,a,5558,a(flip),b,6092,a(flip)),flip(a)]. 6094 L(T(x,y),K(x,z),u) = T(x,y). [para(6092(a,1),40(a,2,1))]. 6095 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6092(a,1),470(a,1,2,1))]. 6098 L(x,K(y,x),z) = x. [para(5199(a,1),6092(a,1,2))]. 6100 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6098(a,1),469(a,1,2,1))]. 6101 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6098(a,1),470(a,1,2,1))]. 6103 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6094(a,1),45(a,1,1)),flip(a)]. 6104 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6094(a,1),931(a,1,2,1))]. 6105 K(x,(1 / x) * y) = K(x,y / x). [hyper(227,a,5085,a,b,6011,a)]. 6106 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [para(263(a,1),6011(a,1,2,1)),flip(a)]. 6107 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(62(a,1),6012(a,1,2,1)),flip(a)]. 6108 K(x * (y / z),x) = K(x,z / y). [hyper(5341,a,6016,a)]. 6109 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(227,a,5668,a,b,6016,a(flip)),flip(a)]. 6110 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(110(a,2),6016(a,1,2,1))]. 6111 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(6016(a,1),5578(a,1,1)),flip(a)]. 6113 K(x,y / (z * y)) = K(x,1 / z). [hyper(227,a,4222,a,b,6017,a)]. 6116 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(264(a,1),6023(a,1,2,1))]. 6117 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(2497(a,1),6023(a,1,2,1))]. 6118 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [para(1566(a,1),6027(a,1,2))]. 6119 K(x,T(y,z * y)) = K(x,T(y,z)). [para(2461(a,2),6027(a,1,2))]. 6120 K(x,T(y,y * x)) != z | K(x,y) = z. [para(6027(a,2),5097(a,1))]. 6121 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(1020(a,1),6037(a,1,2))]. 6122 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(1029(a,2),6037(a,1,2))]. 6123 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(1030(a,1),6037(a,1,2))]. 6124 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(1034(a,1),6037(a,1,2))]. 6126 T(x,(y * z) \ y) != u | T(x,z \ 1) = u. [para(1301(a,1),6037(a,1,2))]. 6127 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(1348(a,1),6037(a,1,2))]. 6128 T(x,y * z) != u | T(x,(y \ 1) \ z) = u. [para(1387(a,1),6037(a,1,2))]. 6129 T(x,T(y,z) / z) = T(x,z \ y). [para(631(a,2),6038(a,1,2))]. 6130 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [para(794(a,1),6038(a,1,2))]. 6131 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [para(1190(a,1),6038(a,1,2))]. 6132 T(x,y \ z) * (z \ y) = ((1 / y) * z) \ x. [para(6038(a,1),1260(a,1,1))]. 6133 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(2225(a,1),6038(a,1,2))]. 6134 T(x / (y * (z \ (y / z))),y / z) = (1 / ((y * (z \ 1)) \ x)) \ (z / y). [hyper(227,a,4205,a(flip),b,6039,a(flip))]. 6135 R(x,y / z,z * (y \ 1)) = T(T(x,y / z),z / y). [hyper(227,a,2295,a(flip),b,6039,a(flip)),flip(a)]. 6137 T(x,(y / z) \ 1) = T(x,z / y). [para(125(a,2),6039(a,1,2))]. 6138 T(T(x,y \ z),z \ y) = L(x,y \ z,y \ z). [hyper(1136,a,6040,a),flip(a)]. 6140 T(x,(y \ z) \ z) = T(x,T(y,z)). [hyper(227,a,1550,a(flip),b,6040,a(flip))]. 6143 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6040(a,1),416(a,1))]. 6145 ((x \ y) * T(z,y \ x)) * (x \ y) = (x \ y) * ((x \ y) * z). [para(6040(a,1),1276(a,1,1,2))]. 6146 ((x \ y) \ 1) * ((x \ y) \ T(z,y \ x)) = ((x \ y) \ z) / (x \ y). [para(6040(a,1),3470(a,1,2,2))]. 6148 T(x,(y * z) * y) = T(x,y * (z * y)). [para(2005(a,1),6043(a,1,2)),flip(a)]. 6150 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(1958(a,1),6045(a,1,2)),flip(a)]. 6151 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1052(a,1),6056(a,1,2))]. 6152 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(2540(a,1),6056(a,1,2))]. 6153 K(1 / x,(1 / (1 / x)) * y) = K(1 / x,y * x). [hyper(227,a,6025,a(flip),b,6105,a)]. 6154 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(227,a,5211,a,b,6108,a),flip(a)]. 6155 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(6113(a,2),4237(a,1))]. 6156 (x / y) / ((x / y) * z) = 1 / T(z,y / x). [para(6137(a,1),689(a,1,2)),flip(a)]. 6157 T(x,y / z) * (z / y) = (1 / (z / y)) \ x. [para(6137(a,1),1537(a,1,1))]. 6158 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(408,a,6140,a),flip(a)]. 6159 K(x,y \ 1) != z | K(y,y * x) = z. [para(13(a,1),5912(a,1,1))]. 6160 L(K(x * y,y),x,z) = K(y * x,y). [hyper(227,a,5301,a(flip),b,5931,a)]. 6161 K(x \ (x * y),z) != u | K(y,z) = u. [para(2893(a,2),6120(a,1))]. 6162 T(x,y) \ (1 / y) = T(x \ (y \ 1),y). [hyper(6122,a,2694,a),flip(a)]. 6164 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5104(a,1),6151(a,1,2,1))]. 6165 K(x \ y,z \ 1) != u | K(y \ x,z) = u. [para(5888(a,1),6151(a,1))]. 6166 K(x * y,y) != z | K(x,x * y) = z. [para(5336(a,2),6159(a,1))]. 6168 K(x * y,x) != z | K(y * x,x) = z. [para(6160(a,1),357(a,1)),flip(b)]. 6169 L(K(x * y,x),y,z) = K(x * y,x). [para(5301(a,1),6160(a,1,1))]. 6170 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),6161(a,1,1,2))]. 6172 K((x \ y) \ (x \ 1),z) != u | K(y \ 1,z) = u. [para(124(a,1),6161(a,1,1,2))]. 6175 K(((x * y) \ x) \ 1,z) != u | K(y,z) = u. [para(5877(a,2),6161(a,1))]. 6176 K(x,x / y) != z | K(y,x) = z. [para(5211(a,1),6170(a,1))]. 6177 K(x,y \ x) != z | K(y,x) = z. [para(5217(a,1),6176(a,1))]. 6178 K((x * y) * z,a(x,y,z)) != u | K(x * (y * z),(x * y) * z) = u. [para(24(a,2),6177(a,1,2))]. 6182 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5792(a,2),394(a,1))]. 6185 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(227,a,5106,a,b,5823,a),flip(a)]. 6186 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(227,a,3012,a(flip),b,5823,a)]. 6188 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(227,a,5802,a(flip),b,5853,a(flip))]. 6190 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(5795(a,1),5853(a,2,2))]. 6191 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(227,a,86,a(flip),b,5861,a)]. 6193 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(227,a,5758,a(flip),b,5861,a(flip))]. 6194 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5011(a,1),5861(a,1,1)),flip(a)]. 6195 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(308,a,5862,a),flip(a)]. 6198 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5874(a,2),5096(a,1))]. 6199 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(227,a,5433,a(flip),b,5881,a(flip))]. 6203 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(5894(a,1),479(a,1,1))]. 6206 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [para(2643(a,1),5894(a,1,2))]. 6207 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5900(a,2),5096(a,1))]. 6208 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5902(a,2),282(a,1,2)),flip(b)]. 6211 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5365(a,1),5909(a,1,1,1))]. 6212 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(227,a,5152,a,b,5936,a)]. 6213 (x * y) * K(x,y) = T(x,y) * y. [hyper(227,a,5165,a(flip),b,5936,a)]. 6214 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5011(a,1),5936(a,2,2))]. 6215 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(5936(a,1),6007(a,1,1))]. 6216 K(x,x * ((y * z) \ y)) = K(x,z \ x). [para(13(a,1),5946(a,1,2,1)),flip(a)]. 6218 (1 / x) * (y * (x / y)) = K(y,y \ x). [para(4863(a,1),5986(a,1,2))]. 6219 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(62(a,1),5987(a,2,1))]. 6220 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(65(a,1),6013(a,2,2,2))]. 6221 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(6047(a,1),113(a,1,2)),flip(a)]. 6222 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(115(a,1),6050(a,1,2))]. 6223 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(6052(a,1),113(a,1,2)),flip(a)]. 6224 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [para(6052(a,1),161(a,1,1,2))]. 6225 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(115(a,1),6053(a,1,2))]. 6227 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5504,a,6055,a),flip(a)]. 6228 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(227,a,42,a,b,6060,a)]. 6230 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [para(6066(a,1),5314(a,1,1))]. 6231 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6027(a,1),6066(a,1,2))]. 6232 ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = y * T(T(y,x \ 1),x \ 1). [hyper(227,a,3312,a,b,6084,a(flip)),flip(a)]. 6233 x * T(T(x,y \ 1),y \ 1) = y * (x * (x * (y \ 1))). [hyper(227,a,2970,a(flip),b,6084,a(flip))]. 6234 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(227,a,5936,a,b,6090,a)]. 6235 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(5918(a,1),6090(a,1,1)),flip(a)]. 6237 (x * y) / (y * K(z,y)) = x * K(y,z). [para(6093(a,1),62(a,1,2))]. 6238 x / (y * K(z,y)) = (x / y) * K(y,z). [para(6093(a,1),277(a,1,2))]. 6239 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6040(a,1),6117(a,1,2)),flip(a)]. 6240 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(65(a,1),6130(a,2,2,2))]. 6241 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5469(a,1),6148(a,1,2)),flip(a)]. 6242 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(6186(a,1),19(a,1))]. 6243 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(6186(a,1),5104(a,1,1))]. 6246 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(5011(a,1),6191(a,1,1))]. 6248 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6193(a,1),109(a,2,1))]. 6249 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(6193(a,1),308(a,1))]. 6250 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(6193(a,1),5074(a,1,2))]. 6251 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(72,a,5795,a(flip),b,6195,a)]. 6252 (1 / (x * y)) * ((y \ (x \ 1)) \ z) = K(x * y,y \ (x \ 1)) * z. [para(248(a,1),6195(a,1,1,1))]. 6253 K(x,(y / z) \ x) = K(x,x * (z / y)). [para(963(a,1),6216(a,1,2,2)),flip(a)]. 6254 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(301,a,6218,a)]. 6256 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(72,a,6228,a(flip),b,5791,a)]. 6258 (x * y) / ((z * y) / z) = x * K(y,z). [para(4977(a,2),6237(a,1,2))]. 6261 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5011(a,1),6238(a,1,2)),flip(a)]. 6262 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(30(a,2),6253(a,1,2,1)),flip(a)]. 6263 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(227,a,5166,a(flip),b,6258,a(flip)),flip(a)]. 6264 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4980(a,2),6263(a,1,1,2))]. 6265 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5011(a,1),6263(a,1,1,2))]. 6266 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(3072,a,5787,a)]. 6267 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5787(a,1),3072(a,1))]. 6268 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5301(a,2),5787(a,1,2))]. 6269 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(5934(a,1),5787(a,1,1))]. 6270 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5424(a,1),5799(a,1,2))]. 6271 T(x,y) * z != u | K(x,y) * (x * z) = u. [para(13(a,1),5827(a,1,2))]. 6272 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(3072,a,5839,a)]. 6273 K((x \ y) / y,z) != u | K(x \ 1,z) = u. [para(14(a,1),5889(a,1,1,2))]. 6275 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(5939(a,1),4996(a,2,2))]. 6278 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(109(a,1),5966(a,1,1))]. 6279 (x * (y * y)) * K(y,z) != u | ((1 / x) \ y) * T(y,z) = u. [para(909(a,1),5966(a,1,1))]. 6280 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6019(a,1),357(a,1)),flip(b)]. 6281 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6212(a,1),6069(a,1,1))]. 6283 T(x,y * (z \ (u \ 1))) != w | T(x,y / (u * z)) = w. [para(123(a,1),6123(a,1,2,2))]. 6285 T(x,(y * z) / y) != u | T(x,y / (y / z)) = u. [para(1270(a,1),6123(a,1,2))]. 6288 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(745(a,2),6152(a,1))]. 6289 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(2392(a,1),6152(a,1,2,2))]. 6291 K(x,y \ (y / z)) != u | K(x,z \ 1) = u. [para(944(a,1),6155(a,1,2))]. 6293 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5378(a,2),6165(a,1))]. 6294 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(963(a,1),6175(a,1,1,1))]. 6295 L(K(x,y),x,z) != u | K(x,y) = u. [para(5628(a,2),6175(a,1))]. 6299 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),6182(a,1,2))]. 6300 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(125(a,1),6198(a,1,2))]. 6301 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(5668(a,2),6198(a,1))]. 6302 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(102(a,2),6207(a,1,2,1))]. 6304 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(4222(a,2),6207(a,1))]. 6306 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),6266(a,1,1,1)),flip(a)]. 6307 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5301(a,2),6266(a,1,1))]. 6308 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6007(a,1),6268(a,1,2,1))]. 6309 L(K(x,y),y,z) != u | K(x,y) = u. [para(6019(a,2),6280(a,1))]. 6312 K(x,((y * z) * u) \ (y * (z * u))) != w | K(x,a(y,z,u) \ 1) = w. [para(134(a,1),6291(a,1,2,2))]. 6313 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5863(a,2),6293(a,1))]. 6315 K(x / y,z \ 1) != u | K(y / x,z) = u. [para(5378(a,1),6294(a,1))]. 6316 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(5638(a,2),6294(a,1))]. 6317 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(313(a,1),6304(a,1,2))]. 6318 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(642(a,2),6304(a,1,2))]. 6321 K(T(x / y,x),z) != u | K(y \ x,z) = u. [para(5990(a,2),6313(a,1))]. 6322 K(x,y * z) != u | K(x,(y \ 1) \ z) = u. [para(62(a,1),6317(a,1,2,1))]. 6323 K(x,(y * z) \ z) != u | K(x,z \ (y \ z)) = u. [para(1190(a,1),6317(a,1,2))]. 6324 K(x,((y / z) * u) \ y) != w | K(x,y \ ((u / y) \ z)) = w. [para(1523(a,1),6317(a,1,2))]. 6325 K((1 / x) * y,z) != u | K(x \ y,z) = u. [para(629(a,1),6321(a,1,1))]. 6326 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(649(a,1),6321(a,1,1))]. 6327 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(1223(a,2),6321(a,1,1))]. 6329 K(x / (x \ y),z) != u | K((y / x) \ x,z) = u. [para(1224(a,1),6325(a,1,1))]. 6331 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(5088(a,1),5807(a,1,1))]. 6332 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(227,a,5309,a,b,5811,a(flip)),flip(a)]. 6333 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. [para(5088(a,1),5819(a,2,1))]. 6335 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(5836(a,1),14(a,1,2))]. 6340 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(72,a,14,a(flip),b,5855,a),flip(a)]. 6342 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5795(a,1),5855(a,1,2))]. 6343 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(x * (y * (z \ 1))) \ 1). [hyper(2260,a,5883,a)]. 6344 K((x / y) * x,z) = K(x * (y \ x),z). [para(1181(a,1),5884(a,1,1))]. 6347 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(227,a,4036,a(flip),b,5981,a),flip(a)]. 6348 K(x,y / z) * y = y * K(x,z \ y). [para(6016(a,1),5982(a,1,1))]. 6349 T(K(x,y / z),y) = K(x,z \ y). [hyper(166,a,6348,a,b,xx)]. 6350 K(T(x,y),y / z) = K(x,z \ y). [hyper(18,a,5994,a(flip),b,6348,a)]. 6353 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(6349(a,1),5996(a,1,1))]. 6354 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(1480(a,1),6350(a,1,1))]. 6355 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(227,a,2931,a(flip),b,6034,a)]. 6356 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5510(a,1),6034(a,2,2))]. 6358 K((x \ 1) * (1 / (y / z)),(y / z) * x) = ((y / z) / (1 / x)) \ ((z * (y \ 1)) \ x). [hyper(227,a,4371,a(flip),b,6106,a(flip))]. 6359 (x / y) * T(T(z,x / y),y / x) = (1 / (x / y)) \ z. [hyper(438,a,6157,a)]. 6360 T(T(x,y / z),z / y) = L(x,z / y,z / y). [hyper(166,a,6157,a,b,1368,a)]. 6361 L(T(x,y / z),u,w) * (z / y) = (1 / (z / y)) \ L(x,u,w). [para(40(a,2),6157(a,1,1))]. 6363 (x * y) / (1 / x) = y * (T(x,y) * x). [hyper(2023,a,6190,a)]. 6364 (x * y) / (1 / x) = y * (x * T(x,y)). [para(187(a,1),6363(a,2,2))]. 6365 x * (y * T(y,x)) = y * (x * y). [hyper(227,a,2005,a(flip),b,6364,a(flip))]. 6366 x * (y * (z * T(y * z,x))) = (y * z) * (x * (y * z)). [para(1083(a,1),6365(a,1,2))]. 6370 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(73,a,6214,a(flip),b,6234,a)]. 6372 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(73,a,6215,a(flip),b,109,a)]. 6373 (x / R(y,z,y)) * y != u | y * (R(y,z,y) \ x) = u. [para(6224(a,1),207(a,1,1)),flip(b)]. 6374 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(227,a,6066,a(flip),b,6231,a(flip))]. 6375 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(14(a,1),6374(a,1,1)),flip(a)]. 6376 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(6375(a,1),6161(a,1))]. 6377 K(x,K(y,z)) != u | K(y \ x,K(y,z)) = u. [para(14(a,1),6376(a,1,1))]. 6379 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6235(a,1),5298(a,1,1))]. 6380 (x / y) * ((y \ x) \ ((1 / K(y,y \ x)) \ z)) = (K(y,y \ x) * K(y,y \ x)) * z. [hyper(227,a,1017,a(flip),b,6246,a)]. 6382 ((x / y) * ((y \ x) \ K(y,y \ x))) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). [para(6246(a,2),3339(a,1,1))]. 6383 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(2550,a,6251,a),flip(a)]. 6386 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(15(a,1),6265(a,1,1)),flip(a)]. 6390 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),6331(a,1,2))]. 6391 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(13(a,1),6333(a,1,2)),flip(a)]. 6394 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4949(a,2),6335(a,2,1))]. 6395 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,5814,a,b,6394,a)]. 6396 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(17,a,5824,a(flip),b,6394,a)]. 6397 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),6394(a,1,2)),flip(a)]. 6399 K(x,y) * (x \ y) = y * (x \ 1). [hyper(707,a,6395,a),flip(a)]. 6401 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4977(a,1),6395(a,1,1))]. 6402 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(227,a,5791,a,b,6396,a)]. 6404 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(72,a,6397,a(flip),b,5791,a),flip(a)]. 6407 x / (K(y,z) * (y \ x)) = y * K(z,y). [para(6401(a,1),62(a,1,2))]. 6408 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(6407(a,1),281(a,1,1)),flip(b)]. 6409 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(2518(a,1),6353(a,1,2))]. 6410 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(409,a,6370,a),flip(a)]. 6411 K(x \ y,x) * ((y / x) * (y / x)) = (y / x) * (x \ y). [hyper(227,a,275,a,b,6391,a)]. 6417 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(227,a,1927,a(flip),b,6404,a)]. 6418 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(227,a,2439,a(flip),b,6417,a(flip)),flip(a)]. 6419 x * (T(x,y) \ z) = K(y,x) * z. [hyper(227,a,6195,a(flip),b,6418,a(flip))]. 6420 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(72,a,6195,a(flip),b,6418,a(flip))]. 6421 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(17,a,5853,a(flip),b,6418,a(flip)),flip(a)]. 6422 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(227,a,5209,a,b,6419,a)]. 6423 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(72,a,5023,a(flip),b,6419,a),flip(a)]. 6424 T(x,y) \ (x * z) = K(y,x) * z. [hyper(17,a,6193,a(flip),b,6419,a)]. 6425 K(x,y) * (T(y,x) * z) = y * z. [para(13(a,1),6419(a,1,2)),flip(a)]. 6426 (x * x) \ (K(y,x) * z) = (1 / x) * (T(x,y) \ z). [para(6419(a,1),1014(a,1,2))]. 6427 T(x,y) * (K(y,x) * z) = x * z. [para(6419(a,1),1926(a,1,2))]. 6428 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(6419(a,1),6193(a,1,2)),flip(a)]. 6429 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(6420(a,1),5827(a,1,2))]. 6430 ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). [hyper(227,a,740,a(flip),b,6421,a),flip(a)]. 6431 K(x \ y,1 / x) * ((1 / x) \ z) = (1 / T(x,y)) \ z. [para(1561(a,1),6421(a,2,1))]. 6432 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4958(a,2),6421(a,1,2)),flip(a)]. 6433 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(5086(a,1),6421(a,1,1))]. 6434 (x * y) / (T(x,z) * y) = K(z,x). [hyper(1933,a,6424,a)]. 6435 K(x,y) \ (y * z) = T(y,x) * z. [hyper(1932,a,6424,a)]. 6436 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),6424(a,1,1))]. 6438 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(6424(a,1),1981(a,1))]. 6440 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(6425(a,1),282(a,1,2)),flip(b)]. 6441 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(6425(a,1),466(a,1,1)),flip(a)]. 6442 T(x,y) * (T(y,x) * z) = x * (y * z). [para(6425(a,1),5747(a,1,2)),flip(a)]. 6443 K(x,y) \ z = K(y,x) * z. [hyper(5805,a,6427,a)]. 6444 K(x,y) * (K(y,x) * z) = z. [hyper(5796,a,6427,a)]. 6445 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(2090,a,6427,a)]. 6446 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(17,a,5801,a(flip),b,6427,a)]. 6447 (x \ y) * (K(y,y * (x \ 1)) * z) = (y * (x \ 1)) * z. [para(1201(a,1),6427(a,1,1))]. 6448 T(x \ y,x) * (K(y,(1 / x) * y) * z) = ((1 / x) * y) * z. [para(1339(a,2),6427(a,1,1))]. 6449 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(2229(a,1),6427(a,1,2))]. 6451 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(5128,a,6443,a)]. 6452 K(x,y) * (1 / z) = K(x,y) / z. [hyper(5127,a,6443,a),flip(a)]. 6453 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(5110,a,6443,a)]. 6454 (x * K(y,z)) \ x = K(z,y). [hyper(1102,a,6443,a)]. 6455 x / (K(y,z) * x) = K(z,y). [hyper(458,a,6443,a)]. 6456 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(420,a,6443,a,b,xx),flip(a)]. 6457 x * K(T(y,x),z) = K(z,y) \ x. [hyper(227,a,5994,a,b,6443,a),flip(a)]. 6458 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(227,a,5209,a,b,6443,a)]. 6459 ((1 / K(x,y)) \ z) * (u * K(x,y)) = K(y,x) \ ((z * u) * K(x,y)). [hyper(227,a,47,a,b,6443,a),flip(a)]. 6461 K(x,y \ x) * ((1 / y) * x) = x / y. [hyper(227,a,5373,a(flip),b,6443,a(flip))]. 6462 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(166,a,6443,a(flip),b,659,a),flip(a)]. 6463 K(x,y) * (K(y,x) * z) != u | u = z. [para(6443(a,1),205(a,1,2))]. 6464 x / (K(y,z) * x) != u | K(z,y) = u. [para(6443(a,1),292(a,1,2)),flip(b)]. 6465 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(6443(a,1),313(a,1,2))]. 6467 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(6443(a,2),100(a,1,1))]. 6468 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(6443(a,1),219(a,1,1,2))]. 6469 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(6443(a,1),219(a,1,1))]. 6471 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(6443(a,1),309(a,1,1,3))]. 6472 (1 / x) * ((K(y,z) * (1 / x)) \ u) = (K(z,y) * (u / x)) * x. [para(6443(a,1),2603(a,2,1))]. 6473 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(6443(a,1),4647(a,1,1))]. 6474 (K(x,y) \ 1) \ z = K(x,y) * z. [para(5084(a,2),6443(a,1,1))]. 6477 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6443(a,1),5129(a,1,1))]. 6478 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(6443(a,2),5130(a,1,1))]. 6479 K(x,y \ 1) \ z = K(y,x \ 1) * z. [para(5378(a,1),6443(a,1,1))]. 6480 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(6443(a,1),5127(a,1))]. 6481 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6443(a,1),5131(a,1,1))]. 6482 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(6443(a,1),5299(a,1,1))]. 6483 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(6443(a,1),5934(a,1,2,1))]. 6484 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(6443(a,1),5809(a,1))]. 6485 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(6443(a,1),6207(a,1,2,1))]. 6486 K(x,y) * (K(y,z) * T(y,x)) = T(y,z). [hyper(17,a,6186,a,b,6444,a)]. 6487 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(17,a,6066,a,b,6444,a)]. 6488 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(17,a,5724,a,b,6444,a)]. 6489 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,3070,a(flip),b,6444,a)]. 6490 K(x,y) * z != u | K(y,x) * u = z. [para(6444(a,1),19(a,1)),flip(a)]. 6491 K(x,y) \ z != u | K(y,x) * z = u. [para(6444(a,1),282(a,1,2)),flip(b)]. 6492 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(6444(a,1),109(a,1,2))]. 6493 (K(x,y) * z) \ K(x,y) = z \ 1. [para(6444(a,1),5104(a,1,1)),flip(a)]. 6495 K(x,y) / (1 / z) = (z \ K(y,x)) \ 1. [hyper(73,a,6454,a(flip),b,1625,a)]. 6496 (x * K(y,z)) * K(z,y) = x. [para(6454(a,1),14(a,1,2))]. 6497 x / K(y,z) = x * K(z,y). [para(6454(a,1),62(a,1,2))]. 6498 x * K(y,z) != u | u * K(z,y) = x. [para(6454(a,1),84(a,1,2)),flip(b)]. 6499 (x * K(y,z)) * K(z,y) != u | u = x. [para(6454(a,1),205(a,1,2))]. 6500 x / K(y,z) != u | x * K(z,y) = u. [para(6454(a,1),292(a,1,2)),flip(b)]. 6503 (K(x,y) * z) \ z = K(y,T(x,z)). [para(5994(a,1),6454(a,1,1))]. 6504 (x / y) \ (x / T(y,z)) = K(z,y). [para(6003(a,1),6454(a,1,1))]. 6505 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5902(a,2),6454(a,1,1))]. 6506 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(6455(a,1),2502(a,1,2,2))]. 6507 x / (y * T(y \ x,z)) = K(z,x / y). [para(5789(a,1),6455(a,1,2))]. 6508 x * K(y,T(z,x)) = K(y,z) * x. [hyper(6067,a,6496,a),flip(a)]. 6509 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(6064,a,6496,a)]. 6510 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(166,a,6496,a,b,6444,a)]. 6511 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,6003,a,b,6496,a)]. 6512 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,5918,a,b,6496,a)]. 6513 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(18,a,5130,a,b,6496,a)]. 6514 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(18,a,5105,a,b,6496,a)]. 6515 (x * K(y,z)) / z = x / T(z,y). [hyper(73,a,6496,a(flip),b,5949,a),flip(a)]. 6516 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6496(a,1),24(a,2,1,2)),flip(a)]. 6517 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6496(a,1),282(a,1,2)),flip(b)]. 6519 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6496(a,1),100(a,1,1))]. 6521 x \ ((x * K(y,z)) * (K(z,y) * u)) != w | L(u,K(z,y),x * K(y,z)) = w. [para(6496(a,1),474(a,1,1))]. 6524 (x * K(y,z)) * T(z,y) = x * z. [para(6496(a,1),6007(a,1,1)),flip(a)]. 6525 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(227,a,5129,a,b,6497,a),flip(a)]. 6526 x / K(y,z) != x * u | K(z,y) = u. [para(6497(a,2),19(a,1))]. 6527 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6497(a,1),226(a,1,1))]. 6530 ((K(x,y) / z) * u) \ K(x,y) = K(y,x) * ((u * K(y,x)) \ z). [para(6497(a,1),5134(a,2,2,1))]. 6531 (1 / x) * ((1 / x) * (1 * K(x \ 1,x * y))) = 1 / (T(x,y) / (1 / x)). [para(6497(a,1),5609(a,1,2,2))]. 6533 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),6434(a,1,2,1))]. 6534 K(x,y) * ((1 / z) * u) = K(x,y) / (u \ z). [para(250(a,1),6451(a,1,2)),flip(a)]. 6537 L(K(x,y),z,z) = K(x,y). [hyper(18,a,1318,a,b,6452,a),flip(a)]. 6538 ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = R(x,K(y,z),1 / u). [para(6452(a,1),30(a,2,2)),flip(a)]. 6539 L(K(x,y),z \ 1,z) = K(x,y). [hyper(1400,a,6537,a)]. 6540 L(K(x,y),z,1 / z) = K(x,y). [hyper(1162,a,6537,a)]. 6541 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(1154,a,6537,a)]. 6542 (x \ (y \ 1)) * K(z,u) = (y * x) \ K(z,u). [hyper(72,a,6537,a(flip),b,1396,a),flip(a)]. 6543 (1 / x) \ K(y,z) = x * K(y,z). [hyper(72,a,6537,a(flip),b,1021,a)]. 6544 ((1 / x) * y) \ K(z,u) = (y \ x) * K(z,u). [hyper(72,a,6537,a(flip),b,1398,a(flip))]. 6545 (x * x) * K(y,z) = x * (x * K(y,z)). [para(6537(a,1),100(a,1,2))]. 6547 x / (K(y,z) \ (u \ x)) = x * ((x \ u) * K(y,z)). [para(6537(a,1),2145(a,1,2,2)),flip(a)]. 6548 L(K(x,y),z \ 1,z) = u \ (u * K(x,y)). [hyper(227,a,13,a,b,6539,a)]. 6549 K(x,x \ 1) * K(y,z) = x * ((1 / x) * K(y,z)). [para(6539(a,1),3945(a,1,2))]. 6550 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(6540(a,1),594(a,1,2))]. 6551 (1 / x) \ L(K(y,z),u,w) = x * L(K(y,z),u,w). [para(6540(a,1),592(a,1,2,1))]. 6552 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(6456(a,1),2809(a,1,2,2,1))]. 6553 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(6456(a,1),2854(a,1,2,2,1))]. 6554 x / K(y,T(z,x)) = K(y,z) \ x. [hyper(227,a,6497,a,b,6457,a(flip)),flip(a)]. 6555 K(x,T(y,z)) = T(K(x,y),z). [hyper(5998,a,6462,a)]. 6556 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [hyper(5446,a,6462,a)]. 6557 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6462(a,1),184(a,1,2)),flip(a)]. 6558 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6462(a,1),5998(a,1))]. 6559 K(T(x,y),z) = K(x,T(z,y)). [hyper(227,a,5990,a,b,6555,a),flip(a)]. 6560 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(227,a,5436,a,b,6555,a),flip(a)]. 6561 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(227,a,5430,a,b,6555,a),flip(a)]. 6562 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(227,a,5993,a(flip),b,6555,a)]. 6563 K(x / y,T(z,x)) = K(y \ x,z). [hyper(227,a,5438,a(flip),b,6555,a)]. 6564 K(x,T(y,K(x,z))) = K(x,y). [hyper(227,a,5207,a(flip),b,6555,a)]. 6565 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(227,a,3040,a(flip),b,6555,a)]. 6566 K(x,T(y,T(T(x,z),u))) = K(x,y). [hyper(227,a,3030,a(flip),b,6555,a)]. 6567 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,6555,a)]. 6568 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(227,a,6230,a,b,6555,a(flip)),flip(a)]. 6569 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [hyper(227,a,6118,a,b,6555,a(flip)),flip(a)]. 6570 K(x,T(y,y \ z)) = T(K(x,y),z). [hyper(227,a,6033,a,b,6555,a(flip)),flip(a)]. 6571 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),6555(a,1,2))]. 6573 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(6555(a,2),711(a,1,2,2))]. 6574 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(6555(a,2),1938(a,1,2))]. 6575 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6555(a,1),3041(a,1,2,1))]. 6576 x * T(K(x,y),z) = T(x,T(y,z)). [para(6555(a,1),4996(a,2,2)),flip(a)]. 6577 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(6555(a,1),5001(a,1,2))]. 6578 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(6555(a,2),5477(a,1,1))]. 6579 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [para(6555(a,2),5997(a,1,1))]. 6580 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(6555(a,2),5996(a,1,1))]. 6582 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(6555(a,2),6555(a,1,2))]. 6583 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(21,a,6559,a)]. 6584 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(227,a,6454,a,b,6559,a(flip)),flip(a)]. 6585 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(227,a,5479,a,b,6559,a(flip)),flip(a)]. 6586 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(227,a,6058,a(flip),b,6559,a(flip))]. 6587 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(72,a,6559,a(flip),b,4954,a(flip)),flip(a)]. 6588 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),6559(a,2,2))]. 6589 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),6559(a,1,1))]. 6590 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),6559(a,1,1)),flip(a)]. 6591 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),6559(a,2,2))]. 6592 K((x * y) / x,T(z,x)) = K(y,z). [para(160(a,1),6559(a,1,1)),flip(a)]. 6593 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(132(a,1),6559(a,2,2))]. 6594 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(247(a,1),6559(a,1,1))]. 6595 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(1480(a,1),6559(a,1,1)),flip(a)]. 6596 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(6559(a,2),5001(a,1,2))]. 6597 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. [para(6559(a,1),5137(a,1,2,2))]. 6598 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(6559(a,1),5057(a,1,1))]. 6599 a(x,y,K(z,T(y,u))) = 1. [para(6559(a,1),5926(a,1,3))]. 6600 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(6559(a,1),6421(a,1,1))]. 6601 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(6559(a,1),6443(a,1,1))]. 6602 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(6559(a,1),6497(a,1,2))]. 6603 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,6599,a)]. 6604 a(x,T(y,z),K(u,y)) = 1. [para(2496(a,1),6599(a,1,3,2))]. 6605 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,6604,a)]. 6606 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(42(a,2),6564(a,1,2))]. 6607 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(115(a,1),6565(a,1,2)),flip(a)]. 6608 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(1201(a,1),6565(a,1,2)),flip(a)]. 6609 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(6565(a,1),6318(a,1))]. 6610 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(227,a,5426,a,b,6605,a(flip)),flip(a)]. 6611 (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. [para(6605(a,1),931(a,1,2,1))]. 6613 (K(x,y \ 1) * y) * (1 / y) = y * (((T(y,x \ 1) \ 1) \ 1) \ 1). [para(6474(a,1),5414(a,1,1))]. 6614 ((x * K(y,z)) \ 1) \ 1 = (x \ 1) \ K(y,z). [para(48(a,1),6493(a,1,1)),flip(a)]. 6615 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(6503(a,1),5133(a,1))]. 6616 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6504(a,1),205(a,1,2)),flip(b)]. 6619 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(72,a,6508,a,b,6419,a)]. 6620 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [hyper(21,a,6508,a)]. 6621 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(17,a,6444,a,b,6508,a(flip)),flip(a)]. 6622 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(6508(a,1),19(a,1))]. 6624 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(2521(a,1),6508(a,1,2,2))]. 6625 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3035(a,1),6508(a,1,2,2))]. 6626 K(x,y) * (x \ y) = (x \ y) * K(x,y). [para(5122(a,1),6508(a,1,2)),flip(a)]. 6627 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(6555(a,2),6508(a,1,2,2))]. 6628 x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). [hyper(227,a,5853,a(flip),b,6511,a(flip)),flip(a)]. 6629 (x / T(y,z)) / T(z,y) = (x / y) / z. [hyper(73,a,6511,a(flip),b,5949,a)]. 6630 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(72,a,6511,a(flip),b,5854,a(flip)),flip(a)]. 6632 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(1651,a,6512,a),flip(a)]. 6633 (x / T(y,z)) * y = x * K(z,y). [hyper(306,a,6512,a),flip(a)]. 6634 (K(x,y) * K(y,z)) * T(y,x) = T(y,z). [hyper(18,a,6077,a(flip),b,6512,a)]. 6637 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6512(a,1),498(a,1,2)),flip(a)]. 6638 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6512(a,1),6007(a,1,1)),flip(a)]. 6639 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). [hyper(166,a,6514,a,b,659,a),flip(a)]. 6641 1 / (K(x,y) / z) = (z \ 1) \ K(y,x). [hyper(227,a,5132,a(flip),b,6514,a(flip)),flip(a)]. 6643 (((1 / x) * y) * z) \ K(u,w) = (z \ (y \ x)) * K(u,w). [para(314(a,1),6514(a,1,1)),flip(a)]. 6645 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6515(a,1),2030(a,1,1,2))]. 6646 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6515(a,1),2032(a,1,1,1,2))]. 6647 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6515(a,1),5949(a,1,1))]. 6648 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6515(a,1),6264(a,1,1)),flip(a)]. 6649 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(78,a,6524,a)]. 6650 (x / y) \ T(x,z) = y * K(x,z). [hyper(17,a,5986,a,b,6541,a),flip(a)]. 6653 (x \ y) * K(y,z) = x \ T(y,z). [hyper(227,a,6219,a(flip),b,6543,a(flip))]. 6655 x \ ((x * K(y,z)) * u) = (K(y,z) * (u / x)) * x. [para(6543(a,1),918(a,1,2,1))]. 6656 (x * (K(y,z) * (u / x))) * x = L((x * K(y,z)) * u,x,x). [para(6543(a,1),2327(a,1,1,1)),flip(a)]. 6657 (x * (1 / (x * y))) \ K(z,u) = (x * (y * (1 / x))) * K(z,u). [para(5550(a,1),6543(a,1,1))]. 6658 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(227,a,6555,a,b,6562,a)]. 6665 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(6566(a,1),5004(a,2,1))]. 6666 K(x,T(y,z / y)) = T(K(x,y),z). [para(1952(a,2),6570(a,1,2))]. 6667 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(115(a,1),6574(a,1,2,2)),flip(a)]. 6668 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(6579(a,1),5096(a,1))]. 6669 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(227,a,6559,a(flip),b,6586,a)]. 6670 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(6273,a,6590,a),flip(a)]. 6671 K(x / T(y,z),y) = K(T(y,z) \ x,y). [para(186(a,1),6590(a,1,2))]. 6672 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(132(a,1),6590(a,1,2))]. 6673 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(6590(a,1),5004(a,2,1)),flip(a)]. 6674 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(6590(a,1),5005(a,1,1))]. 6675 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(6590(a,2),6161(a,1))]. 6676 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(1480(a,1),6591(a,1,1))]. 6677 R(x,K(y,z),T(z,u)) = x. [para(6592(a,1),6088(a,1,2))]. 6678 x * K(y,z) != u * z | x / T(z,y) = u. [para(6633(a,1),20(a,1))]. 6679 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(6633(a,1),283(a,1,2))]. 6680 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [para(4934(a,1),6633(a,1,1)),flip(a)]. 6682 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(6559(a,1),6649(a,1,1,2))]. 6683 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(227,a,6213,a(flip),b,6650,a)]. 6684 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [para(135(a,1),6650(a,1,1))]. 6685 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(18,a,6496,a,b,6653,a),flip(a)]. 6686 (x \ T(y,z)) * y = (x \ y) * T(y,z). [para(6653(a,1),6007(a,1,1))]. 6687 (x \ T(y,z)) \ (x \ y) = K(z,y). [para(6653(a,1),6454(a,1,1))]. 6688 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),6658(a,1,2))]. 6689 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(6658(a,1),4996(a,2,2))]. 6690 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6042(a,1),6658(a,1,2))]. 6691 (T(x,y) / z) \ x = z * K(y,x). [hyper(615,a,6685,a),flip(a)]. 6693 K(x,y) * z != u | K(y,x) \ z = u. [para(14(a,1),6463(a,1,2)),flip(b)]. 6694 K(x \ y,x) * ((y / x) * z) != u | (x \ y) * z = u. [para(6194(a,1),6463(a,1,2)),flip(b)]. 6695 (x * y) / ((K(z,u \ 1) * x) * y) != w | K(R(u,x,y) \ 1,z) = w. [para(5580(a,1),6464(a,1,2))]. 6696 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(32(a,2),6491(a,1))]. 6699 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(6559(a,1),6491(a,1,1))]. 6700 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(6559(a,1),6498(a,1,2))]. 6703 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(6559(a,1),6500(a,1,2))]. 6704 (x / (x / y)) \ y != z | K(y,y \ x) = z. [para(4980(a,2),6517(a,1,1))]. 6705 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5447(a,1),6517(a,1,1))]. 6706 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5449(a,1),6517(a,1,1))]. 6707 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(5902(a,2),6517(a,1,1))]. 6709 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5990(a,2),6558(a,1))]. 6710 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(6562(a,2),6558(a,1))]. 6711 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [para(1201(a,1),6595(a,1,2)),flip(a)]. 6713 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(6555(a,1),6668(a,1))]. 6715 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(6586(a,2),6709(a,1))]. 6716 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(227,a,3070,a,b,6432,a)]. 6717 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(6442(a,1),1942(a,1,1))]. 6718 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(1762(a,1),6445(a,1,2))]. 6719 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(5110,a,6458,a)]. 6720 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6458(a,1),5574(a,1,2))]. 6721 K(x,y) * ((1 / x) * y) = y / x. [para(5199(a,1),6461(a,1,1))]. 6722 (x * y) * ((1 / (x * y)) * (K(z,z \ 1) * 1)) = (z * (1 / ((x * y) * z))) \ (y \ (x \ 1)). [para(6479(a,1),3680(a,1,2,2))]. 6723 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(6486(a,1),6463(a,1,2)),flip(b)]. 6724 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [hyper(227,a,6555,a(flip),b,6487,a)]. 6726 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(1637(a,1),6505(a,1,1))]. 6727 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(2574(a,1),6505(a,1,1))]. 6728 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(2446(a,1),6505(a,1,1))]. 6729 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(3509(a,1),6505(a,1,1))]. 6730 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(2574(a,1),6507(a,1,2))]. 6731 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(2643(a,1),6507(a,1,2))]. 6732 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(18,a,5008,a,b,6513,a),flip(a)]. 6733 K(K(x,y),z) = K(z,K(y,x)). [hyper(17,a,4996,a(flip),b,6732,a)]. 6734 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6732(a,1),5153(a,1,1))]. 6735 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5098,a,6733,a)]. 6736 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6733(a,1),5096(a,1,1))]. 6737 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6733(a,1),5795(a,1,1))]. 6738 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6735(a,1),5096(a,1))]. 6742 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(4851(a,1),6556(a,1,2,2))]. 6743 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(264(a,1),6561(a,1,1,1)),flip(a)]. 6744 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(6568(a,1),6499(a,1,1)),flip(b)]. 6746 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(6569(a,2),6558(a,1))]. 6747 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(6555(a,1),6571(a,2,1))]. 6748 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(227,a,6186,a,b,6580,a(flip)),flip(a)]. 6749 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [hyper(420,a,6583,a(flip),b,6633,a),flip(a)]. 6750 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(6587(a,1),3200(a,1,2))]. 6751 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(6668,a,6588,a)]. 6752 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(42(a,2),6593(a,1,1))]. 6753 x / R(y,y \ x,y) = K(y,x) * (y \ x). [hyper(227,a,6080,a,b,6626,a),flip(a)]. 6754 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(6066(a,1),6634(a,1,1))]. 6757 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(72,a,100,a(flip),b,6638,a)]. 6759 T(x \ 1,K(y,z)) \ (1 / x) = K(x * K(y,z),x \ 1). [para(6639(a,1),5569(a,1,1))]. 6760 ((x \ 1) \ K(y,z)) \ (K(u,w) * v5) = (K(z,y) / x) / (v5 \ K(w,u)). [para(6641(a,1),5112(a,1,1))]. 6761 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(227,a,5004,a,b,6665,a)]. 6762 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4978(a,1),6761(a,1,2,2,1))]. 6763 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [para(6024(a,2),6667(a,1,2))]. 6764 (x \ y) * (z / (T(y,u) \ z)) = (x \ T(y,u)) * y. [para(62(a,2),6686(a,2,2)),flip(a)]. 6766 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(227,a,4996,a,b,6689,a)]. 6767 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(6689(a,2),5001(a,1))]. 6768 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(6766(a,1),4997(a,1,2,1))]. 6769 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(2308(a,1),6716(a,1,2)),flip(a)]. 6770 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(5221(a,1),6747(a,2,1))]. 6774 K(x,y) * K(y,z) != u | T(y,x) \ T(y,z) = u. [para(4958(a,2),6484(a,1,2))]. 6775 L(K(x,y),z \ 1,z) != u | K(x,y) = u. [para(6548(a,2),282(a,1)),flip(b)]. 6777 ((1 / x) / y) \ K(z,u) != w | (y * x) * K(z,u) = w. [para(325(a,2),6550(a,1,1))]. 6778 T(x / y,x) \ K(z,u) != w | (x \ y) * K(z,u) = w. [para(642(a,2),6550(a,1,1))]. 6780 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(137(a,1),6616(a,1,1))]. 6781 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(6591(a,1),6616(a,1,2))]. 6782 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(14(a,1),6675(a,1,1,1))]. 6787 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5084(a,1),6736(a,1))]. 6788 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(227,a,6401,a,b,6753,a)]. 6789 T(x,(x \ y) \ z) != u | T(x,T(z / (x \ y),y)) = u. [para(115(a,1),6767(a,1,2))]. 6791 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(132(a,1),6782(a,1,2))]. 6794 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(2531(a,1),6788(a,1,2))]. 6795 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(227,a,5151,a,b,6422,a(flip)),flip(a)]. 6796 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6422(a,1),4924(a,2,3))]. 6797 (x \ y) * (T(T(x \ y,x),x) \ z) = (y / x) * (T(x \ y,x) \ z). [para(6433(a,1),5855(a,1,2))]. 6798 K(x,y) * (T(z,u) / u) = K(x,y) / (z \ u). [hyper(227,a,651,a,b,6534,a(flip)),flip(a)]. 6799 (x \ (y \ (z \ 1))) * K(u,w) = ((z * y) * x) \ K(u,w). [para(123(a,1),6542(a,1,1,2))]. 6800 ((K(x,y) / z) * u) \ K(w,v5) = (u \ (z * K(y,x))) * K(w,v5). [para(5106(a,1),6542(a,1,1,2)),flip(a)]. 6801 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(2839(a,1),6589(a,1,1)),flip(a)]. 6802 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6510(a,1),6606(a,1,2,1))]. 6805 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(227,a,6116,a(flip),b,6690,a(flip))]. 6806 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(6794(a,1),65(a,1,1))]. 6807 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6795(a,1),101(a,1,2,2,1))]. 6808 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5351(a,1),6806(a,1,1))]. 6809 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4977(a,2),6808(a,1,1,2))]. 6812 (x / (y \ z)) / ((1 / z) * y) = T(T(x,y \ z),z \ y). [hyper(227,a,1319,a,b,6138,a),flip(a)]. 6815 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(1637(a,1),6208(a,1,2))]. 6816 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(2414(a,1),6208(a,1,2))]. 6817 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(227,a,4996,a,b,6275,a)]. 6819 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(863,a,6383,a),flip(a)]. 6828 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(6443(a,1),6699(a,1))]. 6829 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6497(a,1),6703(a,1))]. 6830 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(1637(a,1),6707(a,1,1))]. 6832 K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. [para(655(a,1),6746(a,1,2))]. 6833 K(x,y) * K(z,x) != u | T(x,z) \ T(x,y) = u. [para(3070(a,2),6774(a,1))]. 6835 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(5990(a,1),6828(a,1,1))]. 6836 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(5990(a,1),6829(a,1,2))]. 6837 (x * y) / ((x * y) * x) = K(x,y) * (x \ 1). [para(5199(a,1),5815(a,2,1))]. 6838 (x * y) / ((x * y) * x) != z | x \ K(x,y) = z. [para(6837(a,2),3026(a,1))]. 6839 K(T(x,y) \ 1,y \ 1) * ((1 / T(x,y)) * z) = (1 / x) * z. [para(1578(a,1),5834(a,2,1))]. 6840 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(3027(a,1),5940(a,2,2))]. 6841 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(18,a,3333,a,b,6840,a)]. 6842 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(6678,a,5944,a)]. 6844 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(6842(a,1),6003(a,1,1))]. 6845 K(x \ ((x / y) * z),x \ ((z / x) \ y)) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [para(5978(a,1),4321(a,1,1))]. 6846 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(5985(a,1),5670(a,1,2))]. 6848 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6109(a,1),514(a,1,1))]. 6849 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5787(a,1),6188(a,1,2))]. 6850 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(6444(a,1),6488(a,1,2,2)),flip(a)]. 6851 x / (K(y,z) * (u \ x)) = x * ((x \ u) * K(z,y)). [para(6443(a,1),6547(a,1,2))]. 6852 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [hyper(1421,a,6551,a)]. 6853 K(x,y \ R(x,z,u)) != w | K(x,R(x,z,u) / y) = w. [para(6608(a,1),6300(a,1))]. 6854 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(17,a,5944,a,b,6680,a),flip(a)]. 6855 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(6172,a,6854,a),flip(a)]. 6856 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(6855(a,1),5022(a,2,2,2))]. 6857 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(6684(a,1),14(a,1,2))]. 6858 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),6688(a,2,2))]. 6859 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [hyper(6835,a,6737,a(flip)),flip(a)]. 6860 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6737(a,2),6835(a,1))]. 6861 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(227,a,6556,a(flip),b,6742,a(flip))]. 6862 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6861(a,2),5181(a,1,1))]. 6863 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(227,a,6619,a(flip),b,6749,a(flip))]. 6864 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(6805(a,1),5677(a,1,2))]. 6865 R(K(x,y),z,x \ 1) = K(x,y). [hyper(495,a,6841,a)]. 6866 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(464,a,6841,a)]. 6867 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(213,a,6841,a)]. 6868 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(166,a,6841,a,b,5651,a)]. 6870 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(6866(a,1),1632(a,1,1)),flip(a)]. 6872 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [hyper(17,a,6072,a,b,6844,a)]. 6873 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(227,a,6254,a,b,6872,a),flip(a)]. 6874 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(227,a,6424,a,b,6850,a),flip(a)]. 6875 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(227,a,5533,a(flip),b,6850,a)]. 6876 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(6444(a,1),6850(a,2,2))]. 6877 (x * y) / (K(z,u) * y) = y * ((y \ x) * K(u,z)). [hyper(227,a,1182,a,b,6851,a(flip)),flip(a)]. 6878 (x * ((x \ y) * K(z,u))) \ 1 = (K(u,z) * (y \ x)) * (x \ 1). [para(6851(a,1),125(a,1,1))]. 6880 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5630(a,1),6852(a,1,1))]. 6881 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [hyper(2860,a,6880,a)]. 6882 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(1102,a,6880,a)]. 6883 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(282,a,6880,a)]. 6884 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(6882(a,1),62(a,1,2))]. 6886 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(461(a,1),6882(a,1,1))]. 6887 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6883(a,1),282(a,1,2)),flip(b)]. 6888 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(295,a,6884,a),flip(a)]. 6890 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5994(a,1),6881(a,1,1,2))]. 6891 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(6888(a,1),19(a,1)),flip(a)]. 6892 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(227,a,5022,a,b,6856,a)]. 6893 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(13(a,1),6892(a,1,2,2,1)),flip(a)]. 6894 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(2128(a,1),6892(a,1,2,2,1)),flip(a)]. 6895 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [para(123(a,1),6893(a,1,2))]. 6896 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(6126,a,6895,a),flip(a)]. 6899 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),6858(a,1,2,1,2)),flip(a)]. 6900 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6744,a,6862,a),flip(a)]. 6901 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6787,a,6900,a),flip(a)]. 6902 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(227,a,6374,a(flip),b,6901,a)]. 6903 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),6868(a,2,2))]. 6904 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(6490,a,6876,a)]. 6905 (x * ((x \ y) * K(z,u))) \ 1 = (K(u,z) * x) * ((y * x) \ 1). [para(6877(a,1),125(a,1,1))]. 6906 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5239,a,6899,a)]. 6907 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(6904(a,1),2765(a,1,1,1,1))]. 6908 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6294,a,5858,a)]. 6910 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(65(a,1),6908(a,1,1,2,1)),flip(a)]. 6911 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(107(a,2),6908(a,1,1))]. 6912 K(R(x,x \ 1,y),z) = K(x,z). [hyper(227,a,367,a(flip),b,6911,a)]. 6913 R(K(x,y),z,x) = K(x,y). [hyper(227,a,6057,a(flip),b,6911,a(flip))]. 6914 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6911(a,1,1,2)),flip(a)]. 6915 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5817(a,1),6911(a,1,1,2))]. 6916 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(6420(a,1),6911(a,1,1,2)),flip(a)]. 6917 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6911(a,1),6454(a,1,1,2)),flip(a)]. 6918 (K(x,y) * z) * x = K(x,y) * (z * x). [para(6913(a,1),109(a,1,1)),flip(a)]. 6920 K(R(x,x \ 1,y),L(z,u,u \ 1)) = K(x,z). [hyper(227,a,6028,a(flip),b,6912,a)]. 6921 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6914(a,1),46(a,1,1)),flip(a)]. 6922 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(6253(a,1),6914(a,1,1))]. 6923 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(6658(a,1),6914(a,1,1))]. 6924 L(x,y,K(x,z)) = x. [hyper(464,a,6918,a)]. 6925 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(227,a,5790,a(flip),b,6918,a)]. 6926 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(166,a,6918,a,b,6333,a)]. 6927 (K(x,y) * (z * x)) \ 1 = x \ ((K(x,y) * z) \ 1). [para(6918(a,1),123(a,1,1))]. 6928 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(6918(a,1),156(a,2,1)),flip(a)]. 6929 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(6193(a,1),6918(a,1,1))]. 6930 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(6924(a,1),45(a,1,1)),flip(a)]. 6931 (K(x,y) * z) * x != u | K(x,y) * (z * x) = u. [para(6924(a,1),209(a,1,2))]. 6932 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6924(a,1),469(a,1,2,1))]. 6933 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(6924(a,1),470(a,1,2,1))]. 6934 L(x,y,K(z,x)) = x. [para(5199(a,1),6924(a,1,3))]. 6935 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(6934(a,1),45(a,1,1)),flip(a)]. 6936 (K(x,y) * z) * y = K(x,y) * (z * y). [para(6934(a,1),100(a,1,2))]. 6937 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(166,a,6925,a,b,5747,a)]. 6939 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5788(a,1),6925(a,1,1)),flip(a)]. 6940 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(5791(a,2),6925(a,1,1))]. 6941 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(6936(a,1),5793(a,1,2,2))]. 6942 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(5660,a,6937,a),flip(a)]. 6943 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(14(a,1),6937(a,1,1)),flip(a)]. 6944 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(38(a,1),6937(a,2,2))]. 6945 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),6937(a,2,2))]. 6946 K(x,y) * T(K(x,z) * y,x) = K(x,z) * y. [para(6937(a,2),5727(a,1,2))]. 6947 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(853,a,6943,a),flip(a)]. 6948 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(6943(a,1),2638(a,1,1)),flip(a)]. 6949 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6070,a,6947,a)]. 6950 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(227,a,5949,a,b,6947,a),flip(a)]. 6951 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(6947(a,2),5799(a,1,2))]. 6952 T(x * T(x \ y,x),z) = (x \ T(y,z)) * x. [hyper(227,a,3509,a(flip),b,6939,a(flip)),flip(a)]. 6953 K(T(x,y) \ z,x) = z \ ((x \ z) * x). [hyper(72,a,6939,a(flip),b,5902,a(flip)),flip(a)]. 6955 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(227,a,93,a(flip),b,6953,a)]. 6956 K(x / T(y,z),y) = K(y \ x,y). [hyper(227,a,6671,a,b,6955,a(flip)),flip(a)]. 6960 K(x \ (y * T(x,z)),x) = K(y,x). [para(15(a,1),6956(a,1,1)),flip(a)]. 6961 K((x / y) * T(y,z),y) = K(x,y). [hyper(227,a,5093,a(flip),b,6960,a(flip)),flip(a)]. 6963 K(x * T(y,z),y) = K(x * y,y). [para(15(a,1),6961(a,1,1,1))]. 6964 K(x * K(y,z),y) = K(x,y). [para(5949(a,1),6961(a,1,1))]. 6965 K(x * K(y,z),z) = K(x,z). [para(5199(a,1),6964(a,1,1,2))]. 6967 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(6964(a,1),5459(a,1,1,1,2)),flip(a)]. 6968 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(5888(a,1),6964(a,1,1,2))]. 6970 K(K(x,y) * z,x) = K(z,x). [para(6508(a,1),6964(a,1,1))]. 6971 K(K(x,y) * z,y) = K(z,y). [para(6509(a,1),6964(a,1,1)),flip(a)]. 6972 K(x * T(y,z),z) = K(x * y,z). [para(6512(a,1),6964(a,1,1)),flip(a)]. 6973 K(x \ K(y,z),y) = K(x \ 1,y). [para(6514(a,1),6964(a,1,1))]. 6974 K(x \ T(y,z),y) = K(x \ y,y). [para(6653(a,1),6964(a,1,1))]. 6976 K(x * K(y,z),z) = 1 / K(z,x). [hyper(227,a,5101,a,b,6965,a)]. 6978 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5625(a,1),6965(a,1,1,2))]. 6979 K(K(x,y) \ z,x) = K(z,x). [para(6457(a,1),6965(a,1,1))]. 6980 K(x * K(y,T(z,u)),z) = K(x,z). [para(6559(a,1),6965(a,1,1,2))]. 6981 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(6592(a,1),6965(a,1,1,2))]. 6984 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5579(a,1),6970(a,1,1,1))]. 6985 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6970(a,1),5914(a,1,1))]. 6987 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(6754(a,1),6970(a,1,1))]. 6990 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(6592(a,1),6971(a,1,1,1))]. 6991 K(K(x,y) * z,x) != u | K(z,x) = u. [para(6979(a,1),6161(a,1))]. 6992 K(x * T(y,z),y) = K(y * x,y). [hyper(227,a,5301,a(flip),b,6963,a)]. 6993 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(6963(a,2),5496(a,1,1,1,2))]. 6994 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(6052(a,1),6972(a,1,1,2)),flip(a)]. 6995 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5498(a,1),6973(a,1,1,2))]. 6996 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(6973(a,1),5902(a,2,2)),flip(a)]. 6997 K(x \ T(y,z),y) = K(y,x). [hyper(227,a,5211,a(flip),b,6974,a)]. 6998 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(115(a,1),6974(a,1,1,2)),flip(a)]. 6999 K(x \ (y * K(z,y)),y) = K(x \ y,y). [para(5149(a,1),6974(a,1,1,2))]. 7000 K(x \ y,T(y,z)) = K(T(y,z),x). [para(2496(a,1),6997(a,1,1,2))]. 7001 K(x * K(y,z),z) != u | K(x,z) = u. [para(6976(a,2),5107(a,1))]. 7002 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(92(a,1),6980(a,1,1)),flip(a)]. 7003 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5463(a,1),6980(a,1,1))]. 7004 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(6240(a,1),6987(a,1,1)),flip(a)]. 7005 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),6992(a,1,1)),flip(a)]. 7006 K(x * ((y * z) / y),z) = K(z * x,z). [para(2499(a,1),6992(a,1,1,2))]. 7007 K(x \ y,T(y,z)) = K(y,T(x,z)). [hyper(227,a,6559,a(flip),b,7000,a)]. 7008 K(T(x,y) \ T(z,u),z) = K(x \ z,T(z,y)). [hyper(227,a,6997,a,b,7007,a),flip(a)]. 7009 K(x * (y * K(z,u)),u) = K(x * y,u). [para(100(a,1),6978(a,1,1))]. 7010 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6888(a,1),6978(a,1,1)),flip(a)]. 7011 K((K(x,y) * z) * u,x) = K(z * u,x). [para(109(a,1),6984(a,1,1))]. 7012 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6914(a,1),6984(a,1,1,1))]. 7014 K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. [para(6340(a,1),6991(a,1,1))]. 7015 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(2420(a,1),7001(a,1,1))]. 7018 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4948(a,1),7012(a,1,1))]. 7019 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(6425(a,1),7012(a,1,1)),flip(a)]. 7020 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(6512(a,1),6981(a,1,1)),flip(a)]. 7021 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(6425(a,1),6990(a,1,1)),flip(a)]. 7022 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5011(a,1),6999(a,1,1,2))]. 7023 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7003(a,1),5364(a,1,1,2))]. 7024 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5999(a,1),7009(a,1,1,2)),flip(a)]. 7025 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7024(a,1),5455(a,1,2,1,2)),flip(a)]. 7026 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7024(a,1),5457(a,1,2,1,2)),flip(a)]. 7027 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(6995(a,1),5454(a,1,1,1,2)),flip(a)]. 7028 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7015(a,1,1,2))]. 7029 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(166,a,6940,a,b,1925,a)]. 7031 K(x,K(x,y) * z) = K(x,z). [hyper(5018,a,6946,a)]. 7032 K(x,K(x,y) \ z) = K(x,z). [para(14(a,1),7031(a,1,2)),flip(a)]. 7033 K(x,K(y,x) * z) = K(x,z). [para(5199(a,1),7031(a,1,2,1))]. 7034 K(x,K(x \ 1,y) * z) = K(x,z). [para(5376(a,2),7031(a,1,2,1))]. 7035 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(5579(a,1),7031(a,1,2,1))]. 7036 K(x,T(y,x) \ z) = K(x,y \ z). [para(6421(a,1),7031(a,1,2))]. 7037 K(x,K(y,x) \ z) = K(x,z). [para(6443(a,2),7031(a,1,2))]. 7038 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6754(a,1),7031(a,1,2))]. 7039 K(x,T(y,x) / z) = K(x,y / z). [para(5465(a,1),7033(a,1,2))]. 7040 K(x,y * K(z,x)) = K(x,y). [para(6065(a,1),7033(a,1,2))]. 7042 K(x,y * K(x,z)) = K(x,y). [para(5202(a,1),7040(a,1,2,2))]. 7044 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7040(a,1),5860(a,1,1))]. 7045 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6261(a,1),7040(a,1,2))]. 7048 K(x,y \ T(x,z)) = K(x,y \ x). [para(6685(a,1),7040(a,1,2)),flip(a)]. 7049 K(x,y * K(x,z)) = x \ T(x,y). [hyper(227,a,4958,a(flip),b,7042,a)]. 7051 T(x,K(x \ 1,y) * z) = x * K(x,z). [para(7034(a,1),4996(a,2,2))]. 7052 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(6421(a,1),7034(a,1,2))]. 7053 T(x,T(y,x) \ z) = x * K(x,y \ z). [para(7036(a,1),4996(a,2,2))]. 7054 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(115(a,1),7038(a,1,2,2)),flip(a)]. 7055 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(882(a,1),7038(a,1,2,2))]. 7056 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(6045(a,1),7038(a,1,2))]. 7057 K(x,(y / x) / z) = K(x,(x \ y) / z). [para(115(a,1),7039(a,1,2,1)),flip(a)]. 7058 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7049(a,2),5049(a,1))]. 7059 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(109(a,1),7035(a,1,2))]. 7060 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(6914(a,1),7035(a,1,2,1))]. 7061 K(x,y * K(z,x)) != u | K(x,y) = u. [para(5199(a,1),7058(a,1,2,2))]. 7062 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(5199(a,1),7060(a,1,2,1))]. 7063 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5788(a,1),7060(a,1,2)),flip(a)]. 7064 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(6754(a,1),7060(a,1,2))]. 7065 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(2420(a,1),7061(a,1,2))]. 7067 K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. [para(6261(a,1),7061(a,1,2))]. 7068 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(6065(a,1),7062(a,1,2))]. 7069 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(227,a,4996,a,b,7051,a)]. 7072 T(x,K(y,x) * z) = T(x,z). [para(5342(a,1),7069(a,1,2,1))]. 7074 T(x,K(x,y) * z) = T(x,z). [para(5379(a,1),7069(a,1,2,1))]. 7075 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(6340(a,1),7069(a,1,2)),flip(a)]. 7076 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(6421(a,1),7069(a,1,2))]. 7078 T(x,y * K(z,x)) = T(x,y). [para(6065(a,1),7072(a,1,2))]. 7080 T(x,T(x,y) \ z) = T(x,x \ z). [para(6421(a,1),7072(a,1,2))]. 7081 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7072(a,1),6819(a,1,3))]. 7082 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7074(a,1),5363(a,1,1))]. 7084 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7074(a,1),6559(a,1,1)),flip(a)]. 7085 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(6754(a,1),7074(a,1,2))]. 7086 T(x,y \ T(z,x)) = T(x,y \ z). [para(6718(a,1),7074(a,1,2)),flip(a)]. 7087 T(x,y * K(x,z)) = T(x,y). [para(5202(a,1),7078(a,1,2,2))]. 7088 T(x,y \ K(x,z)) = T(x,y \ 1). [para(5105(a,1),7078(a,1,2)),flip(a)]. 7092 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7078(a,1),4997(a,1,2,1)),flip(a)]. 7093 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6261(a,1),7078(a,1,2))]. 7094 T(x,y * T(x,z)) = T(x,y * x). [para(6512(a,1),7078(a,1,2)),flip(a)]. 7096 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7087(a,1),176(a,1,2,1))]. 7097 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7087(a,1),1951(a,1,2,1))]. 7099 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5498(a,1),7087(a,1,2,2))]. 7101 T(x,T(x,y) \ z) = (x \ z) \ z. [hyper(227,a,114,a(flip),b,7080,a)]. 7103 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),7085(a,1,2,2)),flip(a)]. 7104 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(115(a,1),7086(a,1,2,2)),flip(a)]. 7105 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(7088(a,1),6342(a,1,2,1))]. 7106 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(227,a,2465,a(flip),b,7094,a)]. 7107 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [para(2496(a,1),7101(a,1,2,1))]. 7109 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [para(7106(a,1),2508(a,1,1))]. 7110 T(x,y * (z * K(x,u))) = T(x,y * z). [para(100(a,1),7099(a,1,2))]. 7112 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(7053(a,2),5001(a,1))]. 7113 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(227,a,6658,a(flip),b,7054,a)]. 7114 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),7113(a,1,2,2)),flip(a)]. 7115 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(134(a,1),7113(a,1,2,2)),flip(a)]. 7116 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(6041(a,1),7113(a,1,2))]. 7117 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [hyper(227,a,6658,a(flip),b,7114,a)]. 7118 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7114(a,1),6508(a,1,2))]. 7119 K(x,(y * x) * z) = K(x,(x * y) * z). [para(4948(a,1),7059(a,1,2,1)),flip(a)]. 7120 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(227,a,6559,a(flip),b,7084,a)]. 7121 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(227,a,6766,a(flip),b,7103,a)]. 7122 T(x,T(y,z * x)) = T(x,T(y,z)). [para(15(a,1),7121(a,1,2,2)),flip(a)]. 7123 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(62(a,1),7121(a,1,2,2)),flip(a)]. 7124 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(115(a,1),7122(a,1,2)),flip(a)]. 7125 T(T(x,x \ y),z) = (T(x,z) \ y) \ y. [hyper(439,a,7107,a)]. 7126 T(x,y * (z * x)) = T(x,y * (x * z)). [para(92(a,1),7110(a,1,2,2)),flip(a)]. 7127 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(5199(a,1),7120(a,1,2,2,1))]. 7128 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(5579(a,1),7120(a,1,2,2,1))]. 7129 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7123(a,1),7038(a,1,2))]. 7130 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(7125(a,2),62(a,1,2))]. 7132 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(709(a,1),7125(a,1,1)),flip(a)]. 7133 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(6065(a,1),7127(a,1,2,2))]. 7135 T(x / (x / y),z) \ x = x / T(y,z). [para(270(a,1),7130(a,1,2,1)),flip(a)]. 7136 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7132(a,1),6107(a,1,2)),flip(a)]. 7137 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(5202(a,1),7133(a,1,2,2,2))]. 7138 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(5625(a,1),7133(a,1,2,2,2))]. 7139 x / (x / T(y,z)) = T(x / (x / y),z). [para(7135(a,1),62(a,1,2))]. 7140 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5413(a,1),7135(a,1,1,1))]. 7143 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(115(a,1),7064(a,1,2,2)),flip(a)]. 7144 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(227,a,114,a(flip),b,7109,a)]. 7146 T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. [para(115(a,1),7112(a,1,2,1))]. 7147 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(2243(a,1),6950(a,1,1,1)),flip(a)]. 7148 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(113(a,1),6952(a,1,1))]. 7149 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [hyper(420,a,7148,a,b,xx),flip(a)]. 7150 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(73,a,7148,a,b,xx)]. 7152 (x \ T(x * y,z)) * x = T(y * x,z). [para(13(a,1),7148(a,1,1,1)),flip(a)]. 7153 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(7148(a,2),20(a,1))]. 7154 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(7148(a,1),113(a,1,2))]. 7156 (x \ T(x * (y / x),z)) * x = T(y,z). [para(66(a,1),7148(a,1,1)),flip(a)]. 7157 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(7148(a,2),293(a,1,1)),flip(b)]. 7158 T(x * y,z) / y = y \ T(y * x,z). [para(13(a,1),7150(a,1,1,1,1))]. 7160 x \ T(x * (y / x),z) = T(y,z) / x. [para(66(a,1),7150(a,1,1,1)),flip(a)]. 7163 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(4657(a,1),7150(a,1,1,1))]. 7164 T(x \ T(x * y,z),x) = x \ T(y * x,z). [hyper(420,a,xx,b,7152,a)]. 7166 x * (T(y * x,z) / x) = T(x * y,z). [para(7152(a,1),61(a,1,2,1))]. 7168 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(7152(a,1),2465(a,1,2))]. 7169 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5659(a,1),7152(a,1,1))]. 7170 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(7152(a,1),7117(a,1,2,2))]. 7171 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(227,a,4097,a,b,7156,a(flip)),flip(a)]. 7173 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(227,a,1647,a,b,7158,a),flip(a)]. 7176 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(7158(a,1),4813(a,1,2))]. 7177 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(4948(a,1),7158(a,1,1,1)),flip(a)]. 7178 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(7158(a,1),6782(a,1,1))]. 7179 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(7160(a,1),164(a,1,2,2))]. 7180 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [para(7160(a,1),5864(a,1,1)),flip(a)]. 7181 T(x * y,z) != x * u | T(y * x,z) / x = u. [para(7166(a,1),19(a,1))]. 7182 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6386(a,1),6968(a,1,1)),flip(a)]. 7183 x / K(y \ z,T(z,u)) != x * w | K(z,T(y,u) \ T(z,v5)) = w. [para(7008(a,1),6526(a,1,2))]. 7184 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(7021(a,1),5368(a,1,2,1,2)),flip(a)]. 7185 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(7056(a,1),6508(a,1,2))]. 7186 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5966,a,7118,a),flip(a)]. 7187 T(K(x,y),z * x) = T(K(x,y),z). [hyper(166,a,7118,a(flip),b,6567,a(flip))]. 7189 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7187(a,2),6558(a,1))]. 7190 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(6555(a,2),7189(a,1))]. 7191 K((x \ y) * y,T(z,y * y)) != u | K((x \ y) * y,T(z,x)) = u. [para(938(a,1),7190(a,1,2,2))]. 7192 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(115(a,1),7129(a,1,2,2)),flip(a)]. 7194 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(115(a,1),7154(a,1,2,1,2)),flip(a)]. 7195 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5070,a,7163,a)]. 7196 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(5532(a,1),7164(a,1,1))]. 7197 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5904(a,1),7164(a,1,1))]. 7198 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(115(a,1),7179(a,1,2,2,1)),flip(a)]. 7199 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(227,a,6563,a(flip),b,6910,a)]. 7200 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(16(a,1),6910(a,2,1,1))]. 7201 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6910(a,2,1,2))]. 7202 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(6563(a,1),6910(a,1,1)),flip(a)]. 7203 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(109(a,1),7128(a,1,2,2))]. 7204 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(100(a,1),7138(a,1,2,2))]. 7205 T(x \ 1,y) / x != z | x \ T(1 / x,y) = z. [para(259(a,1),7157(a,1,1,1))]. 7206 K((x * y) / z,x) = K(x / (z / y),x). [hyper(227,a,5860,a(flip),b,7201,a(flip))]. 7207 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(227,a,5212,a(flip),b,7206,a)]. 7209 x \ ((K(x,y) * z) \ 1) = (z * x) \ K(y,x). [hyper(5126,a,6927,a),flip(a)]. 7210 (x * y) \ K(z,y) = y \ (x \ K(z,y)). [para(5104(a,1),7209(a,1,2)),flip(a)]. 7211 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(227,a,5957,a(flip),b,6944,a)]. 7212 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(7022(a,1),5459(a,1,1,1,2))]. 7213 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),7029(a,1,1,2)),flip(a)]. 7214 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),7063(a,1,2,1))]. 7215 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(6490,a,7171,a),flip(a)]. 7218 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1710(a,1),7173(a,2,1,1))]. 7220 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(227,a,4681,a,b,7194,a(flip)),flip(a)]. 7221 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(113(a,2),7194(a,2,2)),flip(a)]. 7222 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(157(a,2),7194(a,1,1,1,2))]. 7223 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(7194(a,1),6730(a,1,2))]. 7224 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(227,a,5735,a(flip),b,7198,a(flip))]. 7225 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(156(a,2),7198(a,2,2,2,1))]. 7226 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(92(a,1),7204(a,1,2,2,2))]. 7227 K(T(x,y * (z * K(u,w))),w) = (v5 * K(w,T(x,y * z))) \ v5. [para(7204(a,1),6454(a,1,1,2)),flip(a)]. 7228 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(2850(a,1),7213(a,1,2)),flip(a)]. 7229 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(227,a,5918,a,b,7215,a),flip(a)]. 7230 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(3087(a,1),7215(a,1,1))]. 7231 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [hyper(227,a,6016,a,b,7223,a)]. 7232 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(522(a,1),5859(a,1,2,1)),flip(a)]. 7233 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(227,a,5905,a(flip),b,5896,a(flip)),flip(a)]. 7234 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(227,a,6603,a(flip),b,7233,a(flip))]. 7235 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),7233(a,2,1,1))]. 7236 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),7233(a,2,1,2))]. 7237 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(65(a,1),7233(a,1,1,1)),flip(a)]. 7238 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(102(a,2),7233(a,2,1))]. 7239 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(6309,a,7238,a),flip(a)]. 7240 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(2858(a,2),7238(a,2,1))]. 7241 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(479(a,1),7239(a,1,1)),flip(a)]. 7242 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(227,a,6010,a(flip),b,7241,a(flip))]. 7243 L(K(x * (y \ z),x),y \ z,u) = K(y \ (z * x),x). [hyper(227,a,6169,a,b,7242,a),flip(a)]. 7244 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(7242(a,1),5453(a,1,1,1,2))]. 7245 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(104(a,2),7237(a,1,1))]. 7246 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(227,a,28,a(flip),b,7245,a)]. 7247 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),7245(a,1,1,2)),flip(a)]. 7248 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(7245(a,1),5084(a,1,1)),flip(a)]. 7249 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7245(a,1),6850(a,1,2,1)),flip(a)]. 7250 L(K(x,y),z,K(x,u)) = K(x,y). [para(6924(a,1),7245(a,1,1)),flip(a)]. 7251 L(K(x,y),z,K(u,x)) = K(x,y). [para(6934(a,1),7245(a,1,1)),flip(a)]. 7252 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7250(a,1),40(a,2,1))]. 7253 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7250(a,1),100(a,1,2))]. 7254 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7251(a,1),100(a,1,2))]. 7255 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(227,a,6985,a(flip),b,7247,a(flip))]. 7256 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7247(a,1),525(a,1,2))]. 7257 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7247(a,1),7099(a,1,2,2))]. 7258 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(472(a,1),7257(a,1,2))]. 7259 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(7257(a,1),4965(a,1,1,1)),flip(a)]. 7260 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(227,a,5674,a(flip),b,7252,a(flip)),flip(a)]. 7262 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5199(a,1),7260(a,1,2,1))]. 7263 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5508(a,1),7262(a,1,2,1))]. 7264 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(6065(a,1),7262(a,1,2))]. 7265 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5625(a,1),7264(a,1,2,2))]. 7266 K(L(x,K(y,z),u),y) = K(x,y). [hyper(227,a,6970,a(flip),b,7255,a)]. 7268 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(219(a,1),7266(a,1,1))]. 7269 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(227,a,5630,a(flip),b,7248,a)]. 7270 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7248(a,2),5632(a,1))]. 7271 L(K(x,y),z,y) = K(x,y). [hyper(227,a,6030,a(flip),b,7269,a(flip))]. 7272 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),7269(a,1,2,2)),flip(a)]. 7273 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(62(a,1),7269(a,1,2,2)),flip(a)]. 7274 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(541(a,1),7269(a,1,2))]. 7275 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6002(a,1),7269(a,1,2,2)),flip(a)]. 7276 L(K(x,y),z,K(u,y)) = K(x,y). [para(6934(a,1),7269(a,1,2)),flip(a)]. 7277 a(x,y,K(z,x)) = 1. [hyper(34,a,7271,a)]. 7278 K(L(x,y,z),z) = K(x,z). [hyper(227,a,7247,a(flip),b,7271,a(flip)),flip(a)]. 7279 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(227,a,7235,a(flip),b,7271,a(flip))]. 7280 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7271(a,1),100(a,1,2))]. 7282 a(x,y,K(x,z)) = 1. [para(5202(a,1),7277(a,1,3))]. 7283 a(x,y,K(z,x \ 1)) = 1. [para(5378(a,1),7277(a,1,3))]. 7284 L(K(x,y),z,x) = K(x,y). [hyper(33,a,7282,a)]. 7285 a(x,y,K(x * z,z)) = 1. [para(5201(a,2),7282(a,1,3))]. 7286 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),7278(a,1,1))]. 7287 T(x * K(y,x),L(y,z,x)) = x. [para(7278(a,1),4978(a,1,1,2))]. 7288 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7278(a,1),5459(a,1,1,1,2)),flip(a)]. 7289 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(227,a,13,a,b,7284,a)]. 7290 K(L(x,y,x),z) = K(x,z). [hyper(227,a,7247,a(flip),b,7284,a(flip)),flip(a)]. 7291 (x * y) * K(x,z) = x * (y * K(x,z)). [para(7284(a,1),100(a,1,2))]. 7292 L(K(x * y,y),z,x) = K(x * y,y). [hyper(33,a,7285,a)]. 7293 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(227,a,7114,a,b,7290,a)]. 7294 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7290(a,1),5059(a,1,1))]. 7295 K(L(x,x,y),z) = K(x,z). [para(5527(a,1),7290(a,1,1))]. 7296 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(227,a,7247,a(flip),b,7276,a(flip)),flip(a)]. 7297 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7276(a,1),100(a,1,2))]. 7299 T(x,L(y,z,x)) = T(x,y). [para(7287(a,1),5024(a,1,1)),flip(a)]. 7300 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(219(a,1),7299(a,1,2))]. 7301 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(479(a,1),7299(a,1,2)),flip(a)]. 7302 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7296(a,1),4972(a,2,1,1))]. 7303 L(K(x,y),z,x) != u | K(x,y) = u. [para(7289(a,2),282(a,1)),flip(b)]. 7304 K(L(x,y,x),z) != u | K(x,z) = u. [para(7247(a,1),7303(a,1))]. 7305 K(x,y) != z | K(R(x,u,x),y) = z. [para(2875(a,1),7304(a,1,1))]. 7306 K(x,L(y,z,x)) = K(x,y). [hyper(7303,a,7272,a),flip(a)]. 7307 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(227,a,5935,a,b,7272,a(flip)),flip(a)]. 7308 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(227,a,7251,a(flip),b,7272,a(flip))]. 7309 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(227,a,7250,a(flip),b,7272,a(flip))]. 7310 T(x,K(y,L(x,z,u))) = x. [para(7272(a,1),2960(a,1,2))]. 7311 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(7272(a,1),6978(a,1,1,2))]. 7312 K(x,L(y,z,x)) != u | K(x,y) = u. [para(7272(a,1),7303(a,1))]. 7313 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),7306(a,1,2))]. 7314 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(219(a,1),7306(a,1,2))]. 7315 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(479(a,1),7306(a,1,2)),flip(a)]. 7316 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7306(a,1),7247(a,1,1)),flip(a)]. 7317 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7310(a,1),6559(a,1,1)),flip(a)]. 7318 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7308(a,1,2))]. 7320 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(219(a,1),7312(a,1,2))]. 7322 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(236(a,1),7311(a,1,1))]. 7323 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),7279(a,2,1,2))]. 7324 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7279(a,1),5453(a,1,1,1,2))]. 7325 x \ (y * K(z,x)) = (x \ y) * K(z,x). [hyper(600,a,7280,a)]. 7326 R(x,y,K(z,x)) = x. [hyper(495,a,7280,a)]. 7327 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7326(a,1),500(a,1,1,1)),flip(a)]. 7328 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7326(a,1),501(a,1,1,1)),flip(a)]. 7330 R(x,y,T(K(z,x),u)) = x. [para(2627(a,1),7326(a,1,3))]. 7331 R(x,y,K(x,z)) = x. [para(5202(a,1),7326(a,1,3))]. 7332 R(x \ 1,y,K(x,z)) = x \ 1. [para(5345(a,1),7326(a,1,3))]. 7334 R(x,y,K(z,T(x,u))) = x. [para(6559(a,1),7326(a,1,3))]. 7336 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7331(a,1),46(a,1,1)),flip(a)]. 7337 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7331(a,1),500(a,1,1,1)),flip(a)]. 7338 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7331(a,1),501(a,1,1,1)),flip(a)]. 7339 x \ (y * T(K(z,x),u)) = (x \ y) * T(K(z,x),u). [para(7330(a,1),491(a,1,1))]. 7340 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7334(a,1),501(a,1,1,1)),flip(a)]. 7341 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(7332(a,1),109(a,1,1)),flip(a)]. 7342 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(227,a,5798,a,b,7291,a),flip(a)]. 7343 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7291(a,1),6007(a,1,1))]. 7344 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3020,a,7294,a)]. 7345 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(72,a,7294,a(flip),b,5791,a)]. 7346 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(7146,a,7301,a)]. 7348 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(227,a,6727,a,b,7314,a(flip)),flip(a)]. 7349 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(183(a,1),7314(a,1,2,1)),flip(a)]. 7350 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7314(a,1),6347(a,2,2))]. 7351 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(7028,a,7323,a)]. 7352 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(6679,a,7325,a)]. 7353 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(5583(a,1),7344(a,2,1))]. 7354 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(3569(a,1),7346(a,1,2,1)),flip(a)]. 7355 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(7014,a,7351,a)]. 7356 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(227,a,7323,a(flip),b,7351,a(flip))]. 7357 ((x \ y) / T(x,z)) * x = T(y / T(x,z),x). [hyper(227,a,6633,a,b,7352,a),flip(a)]. 7358 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(227,a,7242,a(flip),b,7355,a)]. 7359 K((x * y) \ (z * y),y) = K(x \ z,y). [para(15(a,1),7355(a,1,1,1)),flip(a)]. 7360 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(227,a,7242,a(flip),b,7356,a(flip)),flip(a)]. 7361 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(15(a,1),7358(a,1,1,1)),flip(a)]. 7362 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(227,a,7356,a(flip),b,7359,a(flip)),flip(a)]. 7363 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7362(a,1),5453(a,1,1,1,2))]. 7364 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [para(7362(a,1),5902(a,2,2))]. 7365 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7362(a,2),7028(a,1))]. 7366 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(227,a,4972,a,b,7302,a)]. 7367 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(102(a,1),7366(a,1,2))]. 7368 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(6295,a,7273,a),flip(a)]. 7369 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(102(a,1),7273(a,2,2))]. 7370 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(219(a,1),7273(a,2,2))]. 7371 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(479(a,1),7273(a,2,2))]. 7372 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(102(a,1),7368(a,1,2))]. 7373 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(219(a,1),7368(a,1,2))]. 7374 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(479(a,1),7368(a,1,2)),flip(a)]. 7375 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(7372(a,1),4996(a,2,2))]. 7376 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(227,a,5946,a(flip),b,7374,a(flip))]. 7377 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(5486(a,2),7374(a,1,2,1))]. 7378 K(x,y \ ((y * z) * x)) = K(x,x * z). [para(13(a,1),7376(a,2,2,2))]. 7379 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(7376(a,1),7247(a,1,1))]. 7380 K(x,y \ ((y * z) * x)) = K(x,z * x). [hyper(227,a,5344,a,b,7378,a)]. 7381 L(K(x,y * x),y,z) = K(x,u \ ((u * y) * x)). [hyper(227,a,5932,a,b,7380,a),flip(a)]. 7382 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(166,a,5949,a,b,7342,a)]. 7383 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(166,a,7342,a(flip),b,5795,a)]. 7385 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(161(a,1),7382(a,1,1)),flip(a)]. 7386 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7382(a,1),191(a,1,1))]. 7387 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(227,a,6576,a,b,7385,a)]. 7388 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7385(a,1),7317(a,1,2))]. 7389 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(227,a,6000,a,b,7386,a(flip)),flip(a)]. 7390 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7386(a,1),2474(a,1,2)),flip(a)]. 7391 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(5204(a,1),7386(a,1,1)),flip(a)]. 7392 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(227,a,6054,a(flip),b,7391,a(flip)),flip(a)]. 7393 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(7181,a,7383,a)]. 7394 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7387(a,2),6577(a,1))]. 7395 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(6723,a,7389,a)]. 7396 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(7157,a,7393,a)]. 7397 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [para(7393(a,1),16(a,1,1)),flip(a)]. 7398 K(x,K(y,z)) = K(z,K(y,x)). [hyper(18,a,6754,a,b,7395,a)]. 7399 K(K(x,y),z) = K(x,K(y,z)). [hyper(6738,a,7398,a)]. 7400 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(5445,a,7398,a),flip(a)]. 7401 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(5401,a,7398,a)]. 7402 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(227,a,6902,a,b,7398,a),flip(a)]. 7403 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7398(a,1),4971(a,2,1)),flip(a)]. 7404 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7398(a,1),4996(a,2,2)),flip(a)]. 7407 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7398(a,1),6487(a,1,2))]. 7408 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7398(a,1),6735(a,1,1))]. 7410 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7398(a,1),6568(a,1,1))]. 7411 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7398(a,1),6724(a,1,2))]. 7412 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7398(a,1),6737(a,1,1))]. 7413 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7398(a,1),6859(a,1,1))]. 7414 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(227,a,5510,a(flip),b,7399,a)]. 7415 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(7399(a,1),4964(a,1,2))]. 7416 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7399(a,1),5001(a,1,2))]. 7418 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7399(a,1),5626(a,2,1))]. 7419 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7399(a,1),5918(a,1,2))]. 7420 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7399(a,1),6787(a,1))]. 7421 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(6970(a,1),7399(a,1,1)),flip(a)]. 7422 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(7032(a,1),7399(a,1,1)),flip(a)]. 7423 K(x,K(y,z * y)) = K(y,K(x,z)). [para(5337(a,1),7400(a,1,2))]. 7424 K(x,K(y,y * z)) = K(y,K(x,z)). [para(5340(a,1),7400(a,1,2))]. 7425 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(227,a,5624,a,b,7401,a(flip)),flip(a)]. 7426 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(227,a,7398,a,b,7402,a(flip)),flip(a)]. 7427 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7404(a,1),7137(a,1,2,2))]. 7428 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6736,a,7408,a)]. 7429 K(K(x,y),z) = K(y,K(z,x)). [hyper(5096,a,7408,a)]. 7430 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7408(a,1),6736(a,1))]. 7431 K(x \ y,K(x,z)) = K(x,K(y,z)). [hyper(6377,a,7428,a)]. 7432 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(227,a,7400,a,b,7428,a),flip(a)]. 7433 K(K(x,y),z) = K(y,K(x,z)). [hyper(227,a,7399,a,b,7428,a),flip(a)]. 7434 K(x,K(y,z)) = K(z,K(x,y)). [hyper(227,a,7398,a,b,7428,a)]. 7435 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7428(a,1),5004(a,2,1)),flip(a)]. 7436 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7428(a,1),5280(a,1,2))]. 7437 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7428(a,1),6724(a,1,2))]. 7438 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7031(a,1),7428(a,1,2)),flip(a)]. 7439 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7309(a,1),7428(a,1,2)),flip(a)]. 7440 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7428(a,1),7404(a,1,2))]. 7441 K(K(x,y),z) = K(x,K(z,y)). [hyper(227,a,7398,a,b,7429,a)]. 7442 K(K(x,y),z) = K(z,K(x,y)). [hyper(227,a,7398,a,b,7433,a)]. 7443 K(x,K(y,z)) = K(x,K(z,y)). [hyper(227,a,7429,a(flip),b,7433,a(flip))]. 7444 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7433(a,1),4948(a,1,1))]. 7445 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5510(a,1),7433(a,1,1)),flip(a)]. 7446 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7433(a,1),6787(a,1))]. 7447 x * K(K(y,z),x) = T(x,K(y,z)). [para(7433(a,2),7404(a,1,2))]. 7448 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(5445,a,7434,a),flip(a)]. 7449 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(5401,a,7434,a)]. 7450 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(227,a,7400,a,b,7434,a),flip(a)]. 7451 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(227,a,6066,a,b,7434,a),flip(a)]. 7452 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(227,a,6375,a(flip),b,7434,a)]. 7453 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(227,a,7401,a,b,7434,a(flip)),flip(a)]. 7454 K(x,K(y,z)) * y = T(y,K(z,x)). [para(7434(a,1),5004(a,2,1)),flip(a)]. 7455 K(x,K(y,y / z)) = K(y,K(x,z)). [para(5215(a,2),7434(a,1,2))]. 7457 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5460(a,1),7434(a,1,2)),flip(a)]. 7458 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7434(a,2),5724(a,1,1))]. 7459 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7434(a,2),6230(a,1,1))]. 7460 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7434(a,2),6182(a,1,1))]. 7461 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(6559(a,1),7434(a,1,2))]. 7462 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7434(a,2),6515(a,1,1,2))]. 7463 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(7434(a,2),6653(a,1,2))]. 7464 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7434(a,1),6487(a,1,2))]. 7465 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7434(a,1),7404(a,1,2))]. 7466 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7441(a,1),6787(a,1))]. 7467 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(71,a,7442,a,b,6444,a),flip(a)]. 7468 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7442(a,1),4996(a,2,2)),flip(a)]. 7469 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7442(a,1),6421(a,1,1))]. 7470 x / K(y,K(z,u)) = x * K(y,K(z,u)). [para(7442(a,1),6497(a,1,2))]. 7471 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7442(a,1),6693(a,1,1))]. 7473 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7442(a,1),6787(a,1))]. 7474 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(227,a,5178,a,b,7443,a),flip(a)]. 7475 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7443(a,1),5004(a,2,1)),flip(a)]. 7476 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(5199(a,1),7443(a,1,2)),flip(a)]. 7478 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7443(a,1),6487(a,1,2))]. 7479 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7415(a,1),7110(a,1,2,2)),flip(a)]. 7480 K(x,K(y,y * z)) = K(y,K(z,x)). [hyper(227,a,7443,a,b,7424,a)]. 7481 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(227,a,7428,a,b,7424,a)]. 7482 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [para(7376(a,2),7424(a,1,2))]. 7483 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(89(a,1),7426(a,1,2,2))]. 7484 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(5910(a,1),7426(a,1,2))]. 7485 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(227,a,7443,a,b,7432,a(flip)),flip(a)]. 7486 T(x,K(y,z)) = T(x,K(z,y)). [hyper(227,a,7404,a(flip),b,7440,a(flip))]. 7487 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6734,a,7486,a)]. 7488 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(6696,a,7486,a)]. 7489 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6481,a,7486,a),flip(a)]. 7490 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(5492,a,7486,a)]. 7491 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(5131,a,7486,a),flip(a)]. 7492 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(227,a,7385,a(flip),b,7486,a)]. 7493 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7486(a,1),439(a,1,1))]. 7494 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(7486(a,1),439(a,1))]. 7496 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7486(a,1),6513(a,1,1))]. 7497 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(7486(a,1),6734(a,1,1))]. 7499 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7486(a,1),7386(a,1,1))]. 7500 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(7487(a,1),169(a,1,2)),flip(b)]. 7501 T(K(x,y),z) * z = z * K(x,y). [para(7487(a,1),1984(a,1,2))]. 7502 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7487(a,1),6734(a,1,1)),flip(b)]. 7503 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(7450(a,1),4996(a,2,2))]. 7504 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(6016(a,1),7450(a,1,2))]. 7505 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(7452(a,1),5004(a,2,1))]. 7506 K(1 / x,K(y,z)) = K(x,K(y,z)). [hyper(6170,a,7453,a),flip(a)]. 7507 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(227,a,7434,a,b,7455,a(flip)),flip(a)]. 7509 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(7480(a,1),6230(a,1,1))]. 7510 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7480(a,1),6487(a,1,2))]. 7511 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(7376(a,2),7481(a,1,2))]. 7512 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(72,a,7485,a(flip),b,4900,a(flip))]. 7513 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5514(a,2),7485(a,1,2))]. 7514 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7492(a,1),6513(a,1,1))]. 7515 K(x,T(y,z)) * z = z * K(x,y). [hyper(6835,a,7501,a)]. 7516 T(T(K(x,y),z),z) = K(x,y). [hyper(166,a,7501,a,b,xx)]. 7517 T(K(x,y \ z),z) = K(x,z / y). [hyper(18,a,6348,a,b,7501,a)]. 7518 T(K(x,T(y,z)),z) = K(x,y). [hyper(18,a,6508,a(flip),b,7501,a)]. 7520 K(x,y) * (z * z) = z * (z * K(x,y)). [para(7501(a,1),907(a,1,2)),flip(a)]. 7521 K(x,y \ z) * z = z * K(x,z / y). [para(6349(a,1),7501(a,1,1))]. 7522 K(x,T(T(y,z),z)) = K(x,y). [hyper(227,a,6747,a,b,7516,a(flip)),flip(a)]. 7523 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7516(a,1),176(a,1,2,1)),flip(a)]. 7524 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7516(a,1),177(a,1,2,1)),flip(a)]. 7525 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7516(a,1),194(a,1,2,2,1))]. 7526 K(T(x,y),T(z,y)) = K(x,z). [hyper(6713,a,7518,a)]. 7527 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6313,a,7518,a)]. 7529 T(K(x,y \ z),y) = K(x,z / y). [para(115(a,1),7518(a,1,1,2))]. 7530 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7518(a,1),177(a,1,2,1)),flip(a)]. 7531 T(K(x,y),z \ 1) = K(x,T(y,z)). [para(6023(a,1),7518(a,1,1))]. 7532 K(x \ y,T(z,x)) = K(y / x,z). [hyper(6782,a,7522,a)]. 7533 K((x * y) / x,z) = K(y,T(z,x)). [hyper(6675,a,7522,a),flip(a)]. 7534 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(227,a,6589,a,b,7522,a(flip)),flip(a)]. 7535 K(x,T(y \ z,z)) = K(x,z / y). [hyper(227,a,7136,a(flip),b,7522,a(flip)),flip(a)]. 7536 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),7522(a,1,2,1))]. 7537 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(1237(a,1),7522(a,1,2,1))]. 7538 K(x,T(y,z \ y)) = K(x,T(y,z)). [para(2496(a,1),7522(a,1,2,1))]. 7540 K(T(x,y \ 1),z) = K(x,T(z,y)). [hyper(227,a,6023,a(flip),b,7526,a(flip)),flip(a)]. 7541 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(40(a,2),7526(a,1,1))]. 7542 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7526(a,1,2))]. 7543 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),7526(a,1,2))]. 7544 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),7526(a,1,2))]. 7545 K(x,(y * z) / y) = K(T(x,y),z). [para(160(a,1),7526(a,1,2)),flip(a)]. 7547 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1851(a,1),7526(a,1,2))]. 7548 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(2308(a,1),7526(a,1,2))]. 7549 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(2309(a,1),7526(a,1,1)),flip(a)]. 7550 K(x * K(y,x),z) = K(x,T(z,y)). [para(4978(a,1),7526(a,1,1)),flip(a)]. 7551 K(x,y * K(z,y)) = K(T(x,z),y). [para(4978(a,1),7526(a,1,2)),flip(a)]. 7552 x * K(T(x,y),T(z,y)) = T(x,z). [para(7526(a,2),4996(a,2,2)),flip(a)]. 7553 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5024(a,1),7526(a,1,1)),flip(a)]. 7554 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7526(a,1),5367(a,1,1)),flip(a)]. 7555 K(x,T(y,z)) * (z * K(y,x)) = z. [para(7526(a,1),6621(a,1,2,2))]. 7556 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(7211(a,1),7526(a,1,1))]. 7557 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(7526(a,1),7247(a,1,1))]. 7558 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(7287(a,1),7526(a,1,1))]. 7559 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(7526(a,1),7272(a,1,1))]. 7560 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(62(a,1),7507(a,1,2,1)),flip(a)]. 7561 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(73,a,7515,a(flip),b,5791,a)]. 7562 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7515(a,1),720(a,1,2,1)),flip(a)]. 7563 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7515(a,1),5747(a,1,2)),flip(a)]. 7564 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6666(a,1),7515(a,1,1))]. 7565 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7189,a,7517,a)]. 7566 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7517(a,1),6313(a,1))]. 7568 K(x / (x / y),z) = K(y,T(z,x)). [hyper(6170,a,7527,a),flip(a)]. 7570 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(227,a,6027,a(flip),b,7527,a(flip)),flip(a)]. 7572 x / K(x / y,z) = K(y \ x,z) \ x. [para(7527(a,1),6554(a,1,2))]. 7573 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7074(a,1),7527(a,1,2))]. 7574 K(x * y,(x \ 1) / y) = ((y \ x) * (1 / x)) * y. [hyper(227,a,3937,a(flip),b,7529,a(flip))]. 7576 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(6558,a,7531,a)]. 7577 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(7531(a,2),6615(a,1))]. 7579 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(24(a,2),7532(a,1,1)),flip(a)]. 7580 K((x \ y) * y,T(z,y \ x)) = K(y / (y \ x),z). [para(961(a,1),7532(a,1,1))]. 7582 K(x \ y,(1 / z) \ x) = K(y / x,x * z). [para(1209(a,1),7532(a,1,2))]. 7584 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(2524(a,1),7533(a,1,1))]. 7585 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7533(a,1),6675(a,1))]. 7586 K(x,y / (y / z)) = K(x,T(z,y)). [para(65(a,1),7535(a,1,2,1)),flip(a)]. 7587 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),7536(a,1,2,1)),flip(a)]. 7588 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(7536(a,1),6615(a,1))]. 7591 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7078(a,1),7544(a,1,1))]. 7592 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(227,a,5174,a,b,7545,a(flip)),flip(a)]. 7593 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(1482(a,2),7545(a,1,2))]. 7594 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(7545(a,1),5017(a,1,2))]. 7595 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(6559(a,1),7550(a,1,1,2))]. 7596 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(7551(a,1),5274(a,1,2,2)),flip(a)]. 7597 T(x,T(T(y,z),z)) = T(x,y). [hyper(6596,a,7552,a)]. 7598 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5037(a,1),7552(a,1,2,2)),flip(a)]. 7599 T(x,T(y \ z,y)) = T(x,z / y). [para(115(a,1),7597(a,1,2,1))]. 7600 T(x,(y * z) / y) = T(x,T(z,y)). [para(160(a,1),7597(a,1,2,1)),flip(a)]. 7601 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(178(a,1),7597(a,1,2,1))]. 7602 T(x,T(y * z,z)) = T(x,(1 / z) \ y). [para(621(a,1),7597(a,1,2,1))]. 7603 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(2496(a,1),7597(a,1,2,1))]. 7604 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4978(a,1),7597(a,1,2,1)),flip(a)]. 7606 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(7597(a,1),6863(a,1,1,2))]. 7607 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7597(a,1),7186(a,2,2))]. 7608 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7555(a,1),7203(a,1,2,2,1)),flip(a)]. 7609 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(7560(a,1),4996(a,2,2))]. 7611 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(38(a,1),7568(a,2,2))]. 7612 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7139(a,1),7568(a,1,1))]. 7613 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(227,a,7116,a(flip),b,7576,a(flip)),flip(a)]. 7616 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(7586(a,2),6668(a,1))]. 7619 T(x,y / (y / z)) = T(x,T(z,y)). [hyper(6285,a,7600,a)]. 7620 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(1482(a,2),7600(a,1,2))]. 7621 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(5603(a,1),7600(a,1,2,1)),flip(a)]. 7622 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(227,a,6150,a,b,7603,a(flip)),flip(a)]. 7623 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(6128,a,7604,a)]. 7624 T(x,T(y \ z,z)) = T(x,z / y). [para(62(a,1),7619(a,1,2,2)),flip(a)]. 7625 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [para(1572(a,1),7622(a,1,2)),flip(a)]. 7626 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6040(a,1),7622(a,1,2))]. 7627 T(x,y / (y * z)) = T(x,y \ (z \ y)). [para(966(a,1),7624(a,1,2)),flip(a)]. 7631 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7433(a,2),7420(a,1))]. 7635 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(6559(a,1),7446(a,1,2))]. 7636 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7400(a,2),7466(a,1))]. 7637 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7423(a,2),7466(a,1))]. 7638 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(5211(a,2),7473(a,1,2))]. 7639 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(5178(a,2),7473(a,1))]. 7640 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(6559(a,1),7473(a,1,2))]. 7641 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(6590(a,2),7473(a,1,2))]. 7642 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(7507(a,2),7473(a,1))]. 7644 T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. [para(6477(a,1),7497(a,1,1)),flip(b)]. 7645 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(115(a,1),7585(a,1,2,1))]. 7646 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(6555(a,1),7585(a,1))]. 7647 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(6559(a,2),7585(a,1))]. 7648 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(6563(a,1),7585(a,1))]. 7649 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(6590(a,1),7585(a,1))]. 7650 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(6595(a,1),7585(a,1))]. 7651 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(6589(a,2),7585(a,1))]. 7652 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7136(a,1),7585(a,1))]. 7653 K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. [para(7293(a,1),7585(a,1))]. 7654 K(x,T(T(y,z),z \ 1)) != u | K(x,y) = u. [para(7576(a,2),7585(a,1))]. 7658 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),7647(a,1,2))]. 7659 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(40(a,2),7647(a,1,1))]. 7661 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),7647(a,1,2))]. 7662 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),7647(a,1,2))]. 7663 K((x \ y) * y,T(z,x)) != u | K(y * (y / x),z) = u. [para(951(a,1),7647(a,1,1))]. 7664 K(T(x,y \ 1),z) != u | K(x,T(z,y)) = u. [para(6023(a,1),7647(a,1))]. 7666 x \ T(y,K(x,z)) = T(x \ y,K(z,x)). [hyper(227,a,7486,a,b,7396,a)]. 7667 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(6658(a,1),7403(a,1,1,2))]. 7668 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(227,a,7531,a,b,7407,a)]. 7669 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(71,a,6595,a(flip),b,7407,a),flip(a)]. 7670 K(x,K(y,R(x,z,u))) = 1. [hyper(71,a,6565,a(flip),b,7407,a),flip(a)]. 7671 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7407(a,1),19(a,1))]. 7672 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7670,a)]. 7673 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7672(a,1),38(a,1,1)),flip(a)]. 7674 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(6564(a,1),7410(a,1,1,2)),flip(a)]. 7675 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7411(a,2),6558(a,1))]. 7676 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7037(a,1),7411(a,1,2,2)),flip(a)]. 7677 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(227,a,7399,a(flip),b,7421,a)]. 7678 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(227,a,7399,a(flip),b,7422,a)]. 7679 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(6615,a,7427,a)]. 7680 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(6559(a,1),7437(a,1,2,2))]. 7681 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(227,a,7428,a,b,7438,a)]. 7682 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(3077,a,7451,a)]. 7683 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7459(a,1),5747(a,1,2)),flip(a)]. 7684 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(227,a,7431,a(flip),b,7461,a(flip))]. 7685 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7113(a,1),7461(a,2,2))]. 7686 K(x,y / z) * K(x,K(y,y / z)) = K(x,z \ y). [hyper(227,a,6012,a(flip),b,7464,a)]. 7687 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(6591(a,1),7464(a,1,2,2))]. 7688 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(7468(a,1),5457(a,1,2,1))]. 7689 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7478(a,1),5163(a,1,1)),flip(a)]. 7690 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(7484(a,1),7473(a,1))]. 7691 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(7489(a,1),175(a,1,2,1)),flip(a)]. 7693 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(227,a,6850,a(flip),b,7496,a)]. 7694 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(227,a,4996,a,b,7503,a)]. 7695 T(x,K(y,y \ z)) = T(x,K(z,y)). [para(5338(a,1),7694(a,1,2)),flip(a)]. 7696 T(x,K(y,y * z)) = T(x,K(z,y)). [para(5340(a,1),7694(a,1,2))]. 7697 T(x,K(y \ 1,z)) = T(x,K(y,z)). [para(5378(a,2),7694(a,1,2))]. 7698 T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)). [para(7694(a,1),7499(a,1,1))]. 7699 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(227,a,7486,a,b,7695,a)]. 7700 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7695(a,2),7502(a,1))]. 7701 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(227,a,7486,a,b,7696,a)]. 7702 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7696(a,1),7499(a,1,1))]. 7703 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(7697(a,2),7502(a,1))]. 7704 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(227,a,7489,a(flip),b,7701,a(flip))]. 7705 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(227,a,7454,a(flip),b,7505,a)]. 7706 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(227,a,6763,a,b,7705,a(flip)),flip(a)]. 7707 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),7705(a,1,2,2)),flip(a)]. 7708 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(227,a,7486,a,b,7707,a)]. 7709 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(7708(a,1),7499(a,1,1))]. 7710 T(K(x,y),z * z) = K(x,y). [hyper(166,a,7520,a,b,6545,a)]. 7712 K(x,T(y,z * z)) = K(x,y). [hyper(7646,a,7710,a),flip(a)]. 7713 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(6299,a,7607,a)]. 7714 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(73,a,7607,a(flip),b,5790,a(flip))]. 7715 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(6562(a,1),7607(a,1,1))]. 7716 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(227,a,7465,a(flip),b,7609,a)]. 7717 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(7716(a,1),7496(a,1,1))]. 7720 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(5207(a,1),7666(a,1,2)),flip(a)]. 7721 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5199(a,1),7677(a,1,1,1))]. 7722 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7677(a,1),5947(a,1,3))]. 7723 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7515(a,1),7677(a,1,1))]. 7724 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7430,a,7678,a)]. 7725 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(6340(a,1),7681(a,1,2,2)),flip(a)]. 7726 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7682(a,1),6499(a,1,1)),flip(b)]. 7727 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(73,a,245,a(flip),b,7713,a)]. 7729 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7087(a,1),7714(a,1,1,2)),flip(a)]. 7730 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(7720(a,1),7499(a,1,1)),flip(a)]. 7731 K(x,x * K(y,z)) = K(x,K(y,z)). [hyper(6166,a,7723,a)]. 7732 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(227,a,5339,a,b,7731,a),flip(a)]. 7733 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(6555(a,1),7724(a,1,2))]. 7734 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(7732(a,1),5494(a,1,1,1,2))]. 7735 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(115(a,1),7388(a,1,2,2)),flip(a)]. 7736 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(7486(a,1),7394(a,1))]. 7737 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(227,a,7550,a(flip),b,7558,a)]. 7738 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(479(a,1),7737(a,1,2,2)),flip(a)]. 7739 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(7548(a,2),7616(a,1))]. 7740 K(x,K(y,z \ (u \ 1))) != w | K(x,K(y,u * z)) = w. [para(123(a,1),7636(a,1,2,2))]. 7741 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(6017(a,2),7636(a,1,2))]. 7742 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(7428(a,1),7642(a,1))]. 7743 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6560(a,2),7648(a,1))]. 7745 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(264(a,1),7649(a,1,2))]. 7746 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(6559(a,2),7649(a,1))]. 7747 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(771(a,1),7652(a,1,2))]. 7750 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(1247(a,1),7654(a,1,2))]. 7752 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(6559(a,1),7664(a,1))]. 7753 K(x,y \ z) != u | K(x,(1 / y) * z) = u. [para(65(a,1),7750(a,1,2,1))]. 7754 K(x,(y \ (z \ 1)) \ u) != w | K(x,(z * y) * u) = w. [para(123(a,1),7750(a,1,2,1))]. 7755 K(x,(y * (z \ 1)) \ u) != w | K(x,(z / y) * u) = w. [para(125(a,1),7750(a,1,2,1))]. 7756 K(x,y / z) != u | K(x,y * (z \ 1)) = u. [para(4239(a,1),7750(a,1))]. 7758 K(x,T(y,z \ (u \ 1))) != w | K(x,T(y,u * z)) = w. [para(123(a,1),7752(a,1,2,2))]. 7759 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(655(a,1),7752(a,1,2,2))]. 7760 K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. [para(7345(a,1),5804(a,1,2))]. 7761 (T(x,y) \ y) / x = (x \ y) / T(x,y). [hyper(73,a,1254,a(flip),b,7357,a)]. 7762 T(x \ y,y) / x = (x \ y) / T(x,y). [para(1221(a,1),7761(a,1,1))]. 7763 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(227,a,4996,a,b,7375,a)]. 7764 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),7763(a,1,2,1)),flip(a)]. 7765 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7764(a,1),6239(a,1,2))]. 7766 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6497(a,2),7444(a,1,2))]. 7767 (x / y) \ T(x,K(z,u)) != w | y * K(z,K(u,x)) = w. [para(7463(a,1),615(a,1))]. 7768 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7430,a,7482,a)]. 7769 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(2298(a,1),7511(a,1,2,2))]. 7770 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(7599(a,1),7514(a,1,1))]. 7771 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(2308(a,1),7534(a,1,1,1)),flip(a)]. 7772 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7534(a,1),7012(a,1,1,1))]. 7774 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(2681(a,1),7541(a,1,1))]. 7775 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(2681(a,1),7542(a,1,2))]. 7776 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(7554(a,1),7526(a,1,1))]. 7777 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(227,a,6511,a(flip),b,7564,a)]. 7778 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5204(a,1),7777(a,1,1))]. 7779 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(227,a,7207,a(flip),b,7570,a)]. 7781 (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K((1 / y) / x,x * y). [para(7582(a,1),3537(a,2,2))]. 7782 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(7649,a,7584,a)]. 7783 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(7538(a,1),7595(a,1,1,2))]. 7784 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(7685(a,2),7430(a,1))]. 7785 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)). [para(7699(a,1),7698(a,1,1))]. 7786 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(2512,a,7709,a)]. 7787 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(7730(a,1),210(a,1,2))]. 7788 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(5600(a,1),7766(a,1,1,2))]. 7789 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(7768(a,1),7668(a,1,2)),flip(a)]. 7790 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(6438,a,7778,a)]. 7791 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(7786(a,1),175(a,1,2))]. 7792 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6500,a,7256,a)]. 7793 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(72,a,7256,a(flip),b,6497,a(flip))]. 7795 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(100(a,1),7265(a,1,2))]. 7796 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(62(a,1),7270(a,1,2,2))]. 7797 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7272(a,1),7307(a,1,1))]. 7798 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(227,a,7235,a(flip),b,7797,a(flip))]. 7799 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(227,a,7247,a(flip),b,7316,a)]. 7800 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(479(a,1),7799(a,1,2)),flip(a)]. 7802 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7356(a,1),7365(a,1))]. 7803 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(6107(a,1),7369(a,1,1)),flip(a)]. 7804 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(227,a,7235,a(flip),b,7371,a(flip))]. 7805 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(7371(a,1),40(a,2,1))]. 7806 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(7371(a,1),100(a,1,2))]. 7807 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(7371(a,1),5852(a,1)),flip(b)]. 7808 L(K(x,x * y),y,z) = K(x,u \ ((u * y) * x)). [para(5344(a,1),7381(a,1,1))]. 7809 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7461(a,2),7416(a,1,2))]. 7812 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(7684(a,2),7640(a,1))]. 7813 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(6902(a,1),7675(a,1,2))]. 7814 (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. [para(7793(a,1),205(a,1,2)),flip(b)]. 7815 K(L(x \ y,x,z / y),x) != u | K((z / y) \ (x \ z),x) = u. [para(483(a,2),7802(a,1,1))]. 7816 L(K(x,x * (y \ z)),y \ z,u) = K(x,y \ (z * x)). [para(14(a,1),7808(a,2,2,2,1))]. 7817 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(166,a,7253,a,b,5726,a)]. 7819 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7254(a,1),1851(a,1,1,2))]. 7820 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(227,a,6979,a(flip),b,7268,a)]. 7822 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(5199(a,1),7820(a,1,1,1,2))]. 7823 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(6509(a,1),7820(a,1,1,1)),flip(a)]. 7824 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7792(a,1),7820(a,1,1,1)),flip(a)]. 7825 K(T(x * K(y * K(z,u),w),y * K(z,u)),u) = K(y \ (x * T(y * K(z,u),w)),u). [para(6009(a,1),7822(a,1,1))]. 7826 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(7822(a,1),6454(a,1,1,2)),flip(a)]. 7827 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7297(a,1),7488(a,1,2))]. 7828 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(464,a,7327,a)]. 7829 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(464,a,7337,a)]. 7830 x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). [para(6555(a,2),7339(a,1,2,2))]. 7831 L(K(x,y),z,x \ 1) = K(x,y). [hyper(464,a,7341,a)]. 7832 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(227,a,7371,a(flip),b,7831,a(flip))]. 7833 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(227,a,7272,a(flip),b,7831,a(flip)),flip(a)]. 7834 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),7348(a,1,1,1,1,2))]. 7835 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(227,a,7198,a(flip),b,7350,a(flip))]. 7836 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(7373(a,1),6673(a,1,1))]. 7837 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7412(a,2),6835(a,1))]. 7838 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(17,a,5724,a,b,7413,a)]. 7839 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5630(a,1),7418(a,1,1)),flip(a)]. 7840 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6496(a,1),7419(a,1,1)),flip(a)]. 7841 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7449(a,1),7425(a,1,1))]. 7842 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(7453(a,1),7425(a,1,1))]. 7843 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(227,a,7841,a(flip),b,7842,a(flip))]. 7844 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(227,a,7839,a(flip),b,7842,a(flip)),flip(a)]. 7845 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(7430,a,7843,a)]. 7846 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(227,a,7428,a,b,7844,a)]. 7848 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(227,a,7428,a,b,7845,a)]. 7849 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(219(a,1),7845(a,2,2,2))]. 7852 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(7846(a,2),7430(a,1))]. 7853 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(956(a,1),7848(a,1,2,2)),flip(a)]. 7854 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(6559(a,1),7509(a,1,1,2))]. 7855 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5333(a,1),7513(a,2,2))]. 7856 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(73,a,6888,a(flip),b,7523,a),flip(a)]. 7857 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(42(a,1),7524(a,1,1))]. 7858 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(2740,a,7525,a)]. 7859 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(5369,a,7858,a),flip(a)]. 7860 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(774,a,7858,a)]. 7861 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7087(a,1),7530(a,1,1,1,2))]. 7862 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(227,a,7612,a(flip),b,7549,a(flip))]. 7863 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(13(a,1),7862(a,1,2,2)),flip(a)]. 7864 K(x * y,x \ (1 / y)) = ((y \ x) * (1 / x)) * y. [para(318(a,1),7574(a,1,2))]. 7865 K((x \ y) * y,T(z,y \ x)) != u | K((x / y) \ y,z) = u. [para(7580(a,2),6329(a,1))]. 7866 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(7593(a,1),4996(a,2,2))]. 7868 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(7596(a,1),4953(a,2,2))]. 7869 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(227,a,6133,a,b,7598,a(flip)),flip(a)]. 7870 K(x,T(((y * K(z,x)) * u) / w,y * u)) != v5 | K(x,w \ ((y * K(z,x)) * u)) = v5. [para(7608(a,1),6318(a,1))]. 7871 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),7620(a,2,2))]. 7872 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(227,a,7410,a(flip),b,7674,a)]. 7873 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6525(a,1),7872(a,1,2))]. 7874 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(227,a,7411,a(flip),b,7676,a)]. 7876 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(2461(a,1),7680(a,1,2,2,2))]. 7877 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(227,a,7521,a(flip),b,7717,a)]. 7878 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(7727(a,1),5938(a,1,1,1))]. 7879 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(227,a,7714,a(flip),b,7729,a)]. 7880 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6410(a,1),7879(a,1,2,1)),flip(a)]. 7881 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(1483(a,1),7738(a,1,2,2)),flip(a)]. 7882 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(7653,a,7782,a(flip))]. 7883 K(T(x * y,y) / x,z) = K(y,z). [hyper(7304,a,7882,a),flip(a)]. 7884 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),7883(a,1,1,1,1))]. 7885 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(227,a,7595,a(flip),b,7783,a(flip))]. 7886 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(7626(a,1),7885(a,1,2))]. 7887 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(7790(a,1),3473(a,1,2)),flip(a)]. 7888 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(5660,a,7817,a),flip(a)]. 7889 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7435(a,1),7817(a,1,1)),flip(a)]. 7890 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(227,a,6454,a(flip),b,7826,a)]. 7891 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(7826(a,2),6517(a,1))]. 7892 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(92(a,1),7890(a,1,2,1))]. 7893 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(5202(a,1),7890(a,1,2,1,2))]. 7894 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5625(a,1),7890(a,1,2,1,2))]. 7895 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5999(a,1),7890(a,1,2,1)),flip(a)]. 7896 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6386(a,1),7890(a,1,2,1)),flip(a)]. 7897 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(6592(a,1),7890(a,1,2,1,2))]. 7898 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(227,a,7314,a(flip),b,7892,a)]. 7899 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(7892(a,2),7320(a,1))]. 7900 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(7893(a,1),4996(a,2,2))]. 7901 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),7895(a,1,2)),flip(a)]. 7902 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(173(a,1),7898(a,1,2)),flip(a)]. 7903 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(227,a,4996,a,b,7900,a)]. 7904 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(6509(a,1),7903(a,1,2,1)),flip(a)]. 7905 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7792(a,1),7903(a,1,2,1)),flip(a)]. 7906 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(227,a,7367,a(flip),b,7904,a(flip))]. 7908 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4942(a,1),7906(a,1,2,2))]. 7909 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4948(a,1),7906(a,1,2,2))]. 7910 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5807(a,1),7906(a,1,2,2))]. 7911 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(7908(a,1),4965(a,1,1,1)),flip(a)]. 7912 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(7908(a,1),7765(a,1,2)),flip(a)]. 7913 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(227,a,7346,a,b,7909,a),flip(a)]. 7914 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(7909(a,1),4997(a,1,2,1))]. 7915 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(7913(a,1),4965(a,1,1,1))]. 7916 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(7300(a,2),7912(a,1,2))]. 7917 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(6710,a,7916,a),flip(a)]. 7918 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(227,a,5596,a,b,7917,a)]. 7919 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(227,a,5596,a,b,7918,a(flip)),flip(a)]. 7920 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(13(a,1),7919(a,1,2,2)),flip(a)]. 7921 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(5139(a,1),7891(a,1,2,1))]. 7922 K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. [para(5994(a,1),7891(a,1,2,1))]. 7923 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6386(a,1),7891(a,1,2,1))]. 7925 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(100(a,1),7894(a,1,2,1))]. 7926 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(102(a,2),7899(a,1,2))]. 7927 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(7921,a,7315,a)]. 7928 K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. [para(7315(a,1),7921(a,1))]. 7929 (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). [hyper(2303,a,7830,a),flip(a)]. 7930 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(7835(a,1),19(a,1))]. 7931 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). [para(7838(a,1),7164(a,1,1,2,1)),flip(a)]. 7932 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(6307(a,1),7840(a,1,1))]. 7933 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(166,a,7857,a(flip),b,2553,a(flip))]. 7935 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(17,a,4996,a(flip),b,7859,a)]. 7936 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(227,a,7846,a(flip),b,7935,a(flip))]. 7937 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(227,a,7848,a,b,7936,a)]. 7938 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7272(a,1),7937(a,1,2)),flip(a)]. 7939 K(x * y,x \ (1 / y)) != z | K(x \ y,y \ x) = z. [para(7864(a,2),4284(a,1))]. 7940 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5047,a,7869,a)]. 7941 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(4846(a,1),7940(a,1,2,1)),flip(a)]. 7942 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(2312(a,1),7871(a,1,2,1)),flip(a)]. 7943 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(227,a,7874,a(flip),b,7873,a)]. 7945 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6497(a,1),7943(a,1,2))]. 7946 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(5796,a,7877,a)]. 7947 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7398(a,1),7946(a,1,1))]. 7948 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7434(a,2),7946(a,1,1))]. 7949 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(7481(a,1),7947(a,1,1))]. 7950 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7948(a,1),5048(a,1,1,1))]. 7951 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(5625(a,1),7888(a,2,2))]. 7952 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(7888(a,2),6454(a,1,1))]. 7953 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7896(a,1),5315(a,1,2,2))]. 7954 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(7910(a,1),4965(a,1,1,1))]. 7955 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(5994(a,1),7925(a,1,2,1,2))]. 7956 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(227,a,7843,a,b,7938,a(flip)),flip(a)]. 7957 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6496(a,1),7952(a,1,1,1))]. 7958 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(7957(a,1),14(a,1,2)),flip(a)]. 7959 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(227,a,7683,a(flip),b,7958,a)]. 7960 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(7959(a,2),19(a,1))]. 7962 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [para(5922(a,1),14(a,1,2))]. 7963 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(227,a,6111,a(flip),b,6110,a(flip)),flip(a)]. 7964 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),7963(a,2,2,1))]. 7965 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),7963(a,2,2,2))]. 7966 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(62(a,1),7963(a,1,1,2)),flip(a)]. 7967 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(4656(a,1),7963(a,1,1,2))]. 7968 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(227,a,6913,a(flip),b,7965,a(flip))]. 7969 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5217(a,1),7965(a,1,1))]. 7970 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(227,a,7045,a(flip),b,7968,a)]. 7971 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(107(a,2),7966(a,1,2))]. 7972 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(227,a,6917,a(flip),b,7971,a(flip)),flip(a)]. 7973 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),7971(a,1,2,2)),flip(a)]. 7974 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(32(a,2),7971(a,1,2,2)),flip(a)]. 7975 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(142(a,1),7971(a,1,2,2)),flip(a)]. 7976 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(6420(a,1),7971(a,1,2,2)),flip(a)]. 7977 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(227,a,7044,a(flip),b,7973,a(flip))]. 7978 K(x,R(y,z,x)) = K(x,y). [hyper(227,a,6913,a(flip),b,7973,a(flip))]. 7979 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(227,a,6865,a(flip),b,7973,a(flip))]. 7980 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(227,a,5857,a(flip),b,7973,a(flip))]. 7981 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(227,a,5507,a(flip),b,7973,a(flip)),flip(a)]. 7982 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(7973(a,1),42(a,2,1))]. 7983 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(7040(a,1),7973(a,1,1))]. 7984 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7526(a,1),7973(a,1,1))]. 7985 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7563(a,2),7973(a,1,2))]. 7986 K(x,(y / x) / z) = K(x,y / (z * x)). [para(226(a,1),7978(a,1,2)),flip(a)]. 7987 T(x,R(y,z,x)) = x * K(x,y). [para(7978(a,1),4996(a,2,2))]. 7988 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(7973(a,1),7978(a,1,2))]. 7989 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(7979(a,1),4996(a,2,2))]. 7990 T(x,R(y,z,x)) = T(x,y). [hyper(227,a,4996,a,b,7987,a)]. 7994 T(x,(y * x) / z) = T(x,y / (z / x)). [para(514(a,1),7990(a,1,2))]. 7995 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(739(a,1),7990(a,1,2))]. 7996 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(868(a,1),7990(a,1,2))]. 8000 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(871(a,1),7988(a,1,2,2))]. 8001 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(227,a,4996,a,b,7989,a)]. 8002 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(871(a,1),8001(a,1,2))]. 8003 K(x,(x \ y) / z) = K(x,y / (z * x)). [hyper(227,a,7057,a(flip),b,7986,a(flip)),flip(a)]. 8004 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(227,a,7093,a(flip),b,7994,a)]. 8005 K(x,(x * y) / (z * x)) = K(x,y / z). [para(13(a,1),8003(a,1,2,1)),flip(a)]. 8006 K(x,(x \ y) / (z / x)) = K(x,y / z). [para(16(a,1),8003(a,2,2,2))]. 8007 K(x,(x \ y) / (x \ z)) = K(x,y / z). [hyper(7067,a,8006,a)]. 8008 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(227,a,8003,a(flip),b,8007,a(flip)),flip(a)]. 8009 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(13(a,1),8007(a,1,2,1)),flip(a)]. 8010 K(x,y / (z * x)) = K(x,y / (x * z)). [para(13(a,1),8008(a,1,2,2,1))]. 8011 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(227,a,7970,a,b,8009,a),flip(a)]. 8012 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(110(a,2),8010(a,2,2)),flip(a)]. 8013 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(8011(a,1),4996(a,2,2)),flip(a)]. 8014 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(227,a,7040,a(flip),b,7977,a)]. 8016 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8014(a,1,2))]. 8017 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(994,a,7972,a)]. 8018 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7972(a,1),14(a,1,2))]. 8020 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(7972(a,1),950(a,1,1)),flip(a)]. 8021 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(227,a,7124,a(flip),b,7995,a(flip)),flip(a)]. 8022 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(227,a,7104,a(flip),b,8021,a)]. 8023 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(102(a,2),8022(a,1,2))]. 8024 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [para(109(a,1),8017(a,1,2))]. 8025 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(552,a,8020,a)]. 8026 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(227,a,6016,a,b,7969,a)]. 8027 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(227,a,5857,a(flip),b,7969,a(flip))]. 8028 R(K(x,(y / z) \ x),x,u) = K(x,(x * z) / y). [hyper(227,a,5857,a,b,8027,a),flip(a)]. 8029 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(227,a,6253,a(flip),b,8027,a)]. 8030 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(227,a,8011,a,b,8027,a(flip)),flip(a)]. 8031 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(227,a,8009,a(flip),b,8027,a(flip)),flip(a)]. 8032 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(227,a,8011,a,b,8029,a(flip)),flip(a)]. 8033 x * K(x,x * (y / z)) = T(x,(y * x) / z). [para(8029(a,1),8013(a,1,2))]. 8034 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(7588,a,8030,a)]. 8035 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(227,a,7565,a,b,8030,a(flip)),flip(a)]. 8036 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8031,a)]. 8037 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8031(a,1,2,2)),flip(a)]. 8038 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(8032(a,1),7561(a,1,1,2))]. 8039 T(x,(y * x) / z) != u | T(x,x * (y / z)) = u. [para(8033(a,1),5001(a,1))]. 8040 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(227,a,5121,a(flip),b,8012,a(flip)),flip(a)]. 8042 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(8028(a,1),372(a,1)),flip(b)]. 8043 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8011(a,2),8042(a,1))]. 8045 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7565(a,2),8043(a,1))]. 8046 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(227,a,6555,a,b,7982,a)]. 8047 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(227,a,7880,a(flip),b,7996,a)]. 8048 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(6242,a,8036,a)]. 8049 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(227,a,8004,a,b,8048,a(flip)),flip(a)]. 8050 T(x,(y / z) \ x) = T(x,x * (z / y)). [hyper(8039,a,8049,a),flip(a)]. 8051 T(x,(y / (z * y)) \ x) = T(x,x * z). [para(15(a,1),8050(a,2,2,2))]. 8052 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),8046(a,2,2))]. 8053 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(6555(a,2),8052(a,1,1))]. 8054 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8053(a,1,2)),flip(a)]. 8055 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(868(a,1),8053(a,2,2))]. 8056 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(227,a,367,a(flip),b,8054,a)]. 8057 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(227,a,6555,a(flip),b,8056,a)]. 8058 R(x,y / z,z * (y \ 1)) = L(x,z / y,z / y). [hyper(227,a,6360,a(flip),b,6135,a)]. 8059 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(72,a,6443,a,b,6467,a)]. 8060 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(6443(a,1),6468(a,1,1))]. 8061 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [para(6468(a,1),7296(a,1,1))]. 8062 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(6468(a,1),7308(a,1,2))]. 8063 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(227,a,7823,a(flip),b,8061,a(flip))]. 8066 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5199(a,1),8063(a,1,1,2,1))]. 8067 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5788(a,1),8063(a,1,1,2)),flip(a)]. 8069 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7526(a,1),8063(a,1,1,2,1))]. 8070 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7515(a,1),8063(a,1,1,2))]. 8072 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5467(a,1),8066(a,1,1,2))]. 8073 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7526(a,1),8070(a,1,1,2,2))]. 8074 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7792(a,1),8070(a,1,1,2)),flip(a)]. 8075 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(170(a,1),8072(a,1,1)),flip(a)]. 8076 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(7922,a,8062,a),flip(a)]. 8078 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4948(a,1),8076(a,1,2,2)),flip(a)]. 8079 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5788(a,1),8076(a,1,2,2)),flip(a)]. 8080 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8076(a,1),6555(a,2,1))]. 8081 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(7555(a,1),8076(a,1,2,2)),flip(a)]. 8082 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(227,a,7927,a,b,8078,a),flip(a)]. 8083 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(227,a,7315,a,b,8078,a),flip(a)]. 8084 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(227,a,7376,a(flip),b,8078,a(flip))]. 8085 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(14(a,1),8078(a,2,2,2))]. 8086 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(5625(a,1),8081(a,1,2,2,2))]. 8087 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6386(a,1),8081(a,1,2,2)),flip(a)]. 8088 K(x,y \ (z \ K(u,x))) = K(x,y \ (z \ 1)). [para(6514(a,1),8081(a,1,2,2))]. 8089 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(13(a,1),8083(a,1,2,1)),flip(a)]. 8090 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [para(1999(a,2),8085(a,1,2,2))]. 8091 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(8085(a,1),7511(a,1,2)),flip(a)]. 8092 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [hyper(227,a,7832,a,b,8090,a(flip)),flip(a)]. 8093 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [para(13(a,1),8092(a,1,2,1)),flip(a)]. 8094 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(227,a,8085,a(flip),b,8093,a)]. 8095 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(100(a,1),8086(a,1,2,2))]. 8096 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4948(a,1),8069(a,1,1,2)),flip(a)]. 8097 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(466(a,1),8074(a,2,1))]. 8098 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(227,a,6555,a,b,8080,a)]. 8099 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(6323,a,8087,a),flip(a)]. 8101 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(5994(a,1),8095(a,1,2,2,2))]. 8102 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(227,a,7779,a(flip),b,8096,a)]. 8103 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6007(a,1),8096(a,1,1,2)),flip(a)]. 8104 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(227,a,7234,a(flip),b,8102,a(flip))]. 8105 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(227,a,5282,a(flip),b,8104,a(flip)),flip(a)]. 8106 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(6168,a,8105,a)]. 8107 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5004(a,2),8098(a,1,2,1,2))]. 8108 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [para(4948(a,1),8098(a,1,2,1,2)),flip(a)]. 8109 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(6598(a,1),8098(a,1,2,1,2))]. 8110 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(466(a,1),8101(a,1,2))]. 8111 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(227,a,8035,a(flip),b,8108,a(flip))]. 8112 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(227,a,8031,a,b,8111,a)]. 8113 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8111(a,2),6508(a,2,1)),flip(a)]. 8114 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8112(a,2),6622(a,1,1))]. 8115 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(227,a,6677,a(flip),b,6527,a(flip))]. 8116 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3625(a,1),8115(a,1,2)),flip(a)]. 8117 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5425(a,1),8115(a,1,2)),flip(a)]. 8118 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5794(a,1),8115(a,1,2)),flip(a)]. 8119 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(8117(a,1),6007(a,1,1)),flip(a)]. 8120 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(8117(a,1),7010(a,1,1,2))]. 8122 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(825,a,6717,a),flip(a)]. 8123 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(6717(a,1),825(a,1))]. 8124 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(227,a,4144,a(flip),b,8122,a)]. 8125 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6780,a,6508,a)]. 8126 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(6046(a,1),8125(a,1,2,1))]. 8127 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(6789,a,7301,a)]. 8128 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(72,a,6864,a(flip),b,5801,a),flip(a)]. 8129 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(6864(a,1),28(a,2,2,2)),flip(a)]. 8130 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7320,a,6906,a)]. 8131 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(227,a,5682,a(flip),b,6993,a(flip)),flip(a)]. 8134 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(8131(a,1),2306(a,1,1))]. 8135 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(8131(a,1),6031(a,1,2))]. 8136 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(42(a,1),8135(a,1,2))]. 8137 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(2558(a,1),8136(a,1,2,1)),flip(a)]. 8138 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(7144(a,1),8136(a,1,2,1))]. 8139 K(x,T(T(y,z) \ 1,u)) = K(x,T(T(y \ 1,z),u)). [para(1566(a,1),8137(a,1,2,1))]. 8140 K(x,T(T((y / z) \ 1,z),u)) = K(x,T((z \ y) \ 1,u)). [para(115(a,1),8139(a,1,2,1,1)),flip(a)]. 8141 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(5212(a,1),7200(a,1,1))]. 8142 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(227,a,7828,a(flip),b,7236,a(flip))]. 8143 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7236(a,1),461(a,1,2)),flip(a)]. 8144 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(227,a,8067,a(flip),b,8142,a)]. 8146 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [para(1244(a,1),8144(a,1,1,1)),flip(a)]. 8147 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8144(a,1),7434(a,2,2))]. 8148 K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. [para(7243(a,1),357(a,1)),flip(b)]. 8149 K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. [para(7241(a,2),8148(a,1))]. 8150 K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. [para(7351(a,2),8148(a,1))]. 8151 K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. [para(7355(a,2),8148(a,1))]. 8152 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7246(a,2),474(a,1))]. 8153 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(6455(a,1),7274(a,1,2,1,2)),flip(a)]. 8154 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(6775,a,7370,a),flip(a)]. 8155 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(227,a,7829,a(flip),b,7370,a(flip))]. 8156 K(x,(y * z) \ 1) != u | K(x,z \ (y \ 1)) = u. [para(7370(a,1),6775(a,1))]. 8157 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(7052(a,1),7370(a,1,1))]. 8158 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7314(a,1),7370(a,1,1))]. 8159 L(K(x,x \ (y \ z)),y \ z,y) != u | K(x,y \ (x \ z)) = u. [para(7370(a,2),7899(a,1))]. 8160 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7896(a,1),7370(a,1,1))]. 8161 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(8082(a,1),7370(a,1,1))]. 8162 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8083(a,1),7370(a,1,1))]. 8163 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(227,a,8079,a(flip),b,8155,a)]. 8165 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(102(a,1),7796(a,1,2))]. 8166 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(2391(a,1),7803(a,1,2)),flip(a)]. 8167 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(7816(a,1),357(a,1)),flip(b)]. 8168 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(2396(a,1),8167(a,1,2))]. 8170 K(x,y \ (x * z)) != u | K(x,x * (y \ z)) = u. [para(8078(a,1),8167(a,1))]. 8173 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(227,a,5119,a(flip),b,7902,a)]. 8175 (x * (y * y)) * K(y,z) = x * (y * T(y,z)). [para(7295(a,1),7962(a,1,2))]. 8176 (x * ((y / z) * (y / z))) * K(y / z,z) = x * ((y / z) * (z \ y)). [para(115(a,1),8175(a,2,2,2))]. 8177 K(x,y) \ ((z * (x * x)) \ 1) = (z * (x * T(x,y))) \ 1. [para(8175(a,1),123(a,1,1)),flip(a)]. 8178 (x * ((y * (1 / z)) * (y * (1 / z)))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). [para(1395(a,1),8175(a,2,2,2))]. 8179 ((x * (y * T(y,z))) \ (K(y,z) \ 1)) \ 1 = (K(y,z) / (1 / (x * (y * y)))) * K(y,z). [para(8175(a,1),3428(a,1,1,1))]. 8180 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8031(a,1),7964(a,1,1))]. 8181 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(8026(a,1),42(a,2,1))]. 8182 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(100(a,1),8059(a,1,2,2))]. 8183 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(227,a,6647,a(flip),b,8119,a(flip)),flip(a)]. 8184 (x \ K(y,z)) * (T(z,y) * T(z,y)) = (z \ x) \ T(z,y). [hyper(227,a,5283,a(flip),b,5822,a(flip)),flip(a)]. 8185 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(227,a,2719,a(flip),b,5829,a)]. 8186 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(227,a,2720,a(flip),b,5830,a)]. 8187 L(x,K(y,z),L(y,u,w)) = x. [hyper(464,a,5843,a)]. 8188 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3016(a,1),5843(a,1,1))]. 8189 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(227,a,6469,a(flip),b,8187,a(flip)),flip(a)]. 8190 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3100,a,b,5906,a),flip(a)]. 8191 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(62(a,1),8190(a,2,1,2))]. 8192 (x * (y \ z)) * K(y,z) = x * (z * (y \ 1)). [para(5345(a,1),5953(a,1,2))]. 8193 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(227,a,5191,a(flip),b,5980,a)]. 8194 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(227,a,4814,a,b,8193,a(flip)),flip(a)]. 8195 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(709(a,1),8194(a,1,1))]. 8196 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(227,a,2566,a(flip),b,8195,a)]. 8197 ((x \ y) * x) \ (x \ y) = y \ (y / x). [para(8196(a,1),65(a,1,1))]. 8198 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(410,a,8197,a)]. 8199 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(13(a,1),8198(a,1,3)),flip(a)]. 8200 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(227,a,4694,a(flip),b,8199,a(flip)),flip(a)]. 8201 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(8200(a,1),2810(a,1,1,2))]. 8202 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(3515,a,8201,a)]. 8203 (x * y) \ T(x,y) = (y * x) \ x. [hyper(227,a,5491,a(flip),b,8202,a(flip)),flip(a)]. 8204 T(x,y) = (x * y) * ((y * x) \ x). [para(8203(a,1),14(a,1,2)),flip(a)]. 8206 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7195(a,1),6061(a,1,1))]. 8207 R(x,K(y,z),R(z,u,w)) = x. [hyper(495,a,6100,a)]. 8208 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(227,a,6527,a(flip),b,8207,a(flip)),flip(a)]. 8209 R(x,K(y,z),L(z,u,w)) = x. [hyper(495,a,6101,a)]. 8210 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(6592(a,1),8209(a,1,2))]. 8211 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(8210(a,1),528(a,1,1))]. 8212 x * T(T(x,y \ 1),y \ 1) = ((y * x) * x) / y. [hyper(227,a,1879,a(flip),b,6233,a)]. 8214 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6332(a,1),4005(a,1,2))]. 8215 (x / y) * L(z,y / x,y / x) = (1 / (x / y)) \ z. [para(6360(a,1),6359(a,1,2))]. 8216 x * ((x \ y) * (L(z,x,x) * T((x \ y) * L(z,x,x),x))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(2145(a,1),6366(a,2,2))]. 8217 K(x \ y,x) * (y * (x \ (y / x))) = (y / x) * (x \ y). [para(926(a,1),6411(a,1,2))]. 8218 (x / y) * (y \ x) != z | (y \ x) * (x / y) = z. [para(6411(a,1),6694(a,1))]. 8219 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(6433(a,1),6428(a,1,2)),flip(a)]. 8220 K(x,y \ x) * (K(x,y \ x) * z) = (y \ x) * (T(y \ T(x,y),x) \ z). [para(771(a,1),8219(a,2,2,1,1))]. 8221 T(x * (T(T(x,y),y) \ z),K(y,x)) != u | (1 / (K(y,x) * z)) \ K(y,x) = u. [para(8219(a,1),1250(a,1,1))]. 8222 K(x \ y,x \ 1) * ((1 / x) \ z) = (1 / T(x,y)) \ z. [para(4222(a,1),6431(a,1,1))]. 8223 (x \ y) * (K(x,y) * z) = (y * (x \ 1)) * z. [para(5391(a,1),6447(a,1,2,1))]. 8224 (x * (y \ 1)) * ((1 / y) * x) = (y \ x) * (x / y). [para(6721(a,1),8223(a,1,2)),flip(a)]. 8226 ((1 / (x / ((1 / y) * z))) * (((1 / y) * z) \ 1)) \ K(u,w) = ((1 / (((1 / y) * z) * x)) \ (z \ y)) * K(u,w). [para(5557(a,2),6643(a,1,1))]. 8227 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(227,a,7214,a(flip),b,6676,a)]. 8229 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(113(a,1),6726(a,1,1,2))]. 8230 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(1637(a,1),6726(a,1,1,2))]. 8231 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(2643(a,1),6726(a,1,1,2))]. 8232 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(8229(a,2),7899(a,1))]. 8233 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(227,a,40,a,b,6757,a)]. 8234 T(x \ 1,K(y,z)) \ (1 / x) = K(x * K(z,y),x \ 1). [para(7486(a,1),6759(a,1,1))]. 8235 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(6770(a,2),6558(a,1))]. 8236 (((1 / x) * y) * (1 / z)) \ ((1 / x) * y) = T(T(z,y \ x),x \ y). [hyper(995,a,6812,a)]. 8237 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(5747(a,1),6874(a,1,2))]. 8238 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(227,a,6914,a(flip),b,6923,a(flip))]. 8239 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(71,a,8238,a,b,6489,a),flip(a)]. 8240 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(495,a,6932,a)]. 8241 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4948(a,1),6932(a,1,1)),flip(a)]. 8242 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(227,a,6914,a(flip),b,8240,a(flip)),flip(a)]. 8243 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8242(a,1),5004(a,2,1)),flip(a)]. 8244 x * K(y,R(z,u,R(z,w,v5))) = (K(z,y) / x) \ 1. [para(8242(a,1),5106(a,1,1,1)),flip(a)]. 8245 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(17,a,5106,a(flip),b,8244,a)]. 8246 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7661,a,8245,a),flip(a)]. 8247 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7647,a,8246,a),flip(a)]. 8249 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(495,a,6933,a)]. 8250 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(227,a,6914,a(flip),b,8249,a(flip)),flip(a)]. 8251 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(7651,a,8250,a),flip(a)]. 8252 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(7647,a,8251,a),flip(a)]. 8254 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8252(a,1),4972(a,2,1,1))]. 8255 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(227,a,4972,a,b,8254,a)]. 8256 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(227,a,8120,a(flip),b,6994,a(flip))]. 8257 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(227,a,7005,a(flip),b,8256,a)]. 8258 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8257(a,1,1,2)),flip(a)]. 8259 K(x * R(y,z,y),y) = K(y * x,y). [hyper(227,a,7018,a(flip),b,8258,a(flip)),flip(a)]. 8260 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8259(a,1),5022(a,2,2,2))]. 8261 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(227,a,5022,a,b,8260,a)]. 8262 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(227,a,4996,a(flip),b,8261,a)]. 8263 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5047,a,8262,a)]. 8264 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(227,a,2578,a,b,7176,a(flip)),flip(a)]. 8265 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(227,a,1637,a,b,7221,a(flip)),flip(a)]. 8266 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(17,a,4996,a(flip),b,7229,a),flip(a)]. 8268 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3587(a,1),8266(a,1,1))]. 8269 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(3649(a,1),8266(a,1,1)),flip(a)]. 8272 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3711(a,1),8266(a,1,1)),flip(a)]. 8273 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3722(a,1),8266(a,1,1))]. 8274 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(3880(a,1),8266(a,1,1))]. 8277 K(((x * K(y,z)) \ 1) * u,w) = K((K(z,y) / x) * u,w). [para(5106(a,1),8268(a,1,1,1,1))]. 8278 K((x \ 1) * y,z) = K(x \ y,z). [hyper(5903,a,8269,a)]. 8281 K((1 / x) \ y,z) = K(x * y,z). [para(65(a,1),8278(a,1,1,1)),flip(a)]. 8282 K(x \ (1 / y),z) = K(y * x,z \ 1). [hyper(6165,a,8281,a)]. 8283 K(x * (1 / y),z) = K(x / y,z). [para(339(a,1),8281(a,1,1)),flip(a)]. 8284 K(T(x * y,x),z) = K(y * x,z). [para(1209(a,2),8281(a,1,1))]. 8285 K(x * (1 / (y * x)),z) = K(y,z \ 1). [hyper(227,a,5875,a(flip),b,8283,a)]. 8286 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(7664,a,8284,a)]. 8287 K(x * y,T(z,y)) = K(y * x,z). [hyper(7647,a,8284,a),flip(a)]. 8288 K(x * y,T(z,x)) = K(y * x,z). [hyper(6709,a,8284,a)]. 8289 K(x * y,z) * x = x * K(y * x,z). [para(8284(a,1),5994(a,1,2)),flip(a)]. 8290 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(8284(a,1),7647(a,1))]. 8291 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),8287(a,1,1)),flip(a)]. 8292 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(429(a,1),8287(a,1,1))]. 8293 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(5918(a,1),8287(a,1,1))]. 8294 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(8287(a,1),7585(a,1))]. 8295 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [hyper(227,a,7018,a(flip),b,8288,a)]. 8297 x * (y * K(y * x,z)) != u | T(x * y,T(z,x)) = u. [para(8288(a,1),5534(a,1,2,2))]. 8298 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(8288(a,1),7185(a,1,2)),flip(a)]. 8299 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5464(a,1),8291(a,1,1,2)),flip(a)]. 8300 K((1 / x) \ y,z) != u | K(x * y,z) = u. [para(8272(a,2),5903(a,1))]. 8301 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(8273(a,1),6325(a,1))]. 8302 K(x \ (1 / y),z) != u | K(y * x,z \ 1) = u. [para(8274(a,2),5402(a,1))]. 8303 K(x \ ((1 / y) * z),u) = K((z \ y) * x,u \ 1). [para(313(a,1),8282(a,1,1,2))]. 8304 K(x * y,y \ (x \ 1)) = K(y * x,y \ (x \ 1)). [hyper(18,a,3188,a,b,8289,a),flip(a)]. 8305 K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. [para(131(a,1),8294(a,1,2))]. 8307 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(5359(a,2),8294(a,1,1))]. 8308 K((x / y) \ y,z) != u | K(y * (x \ y),z) = u. [para(1199(a,1),8300(a,1,1))]. 8309 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(3284(a,1),8286(a,1,1)),flip(a)]. 8310 K((x \ 1) * (1 / y),z) != u | K(y * x,z \ 1) = u. [para(8278(a,2),8302(a,1))]. 8311 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8295(a,1),5183(a,1,2))]. 8312 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8295(a,2),7437(a,2,1))]. 8313 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(8298(a,2),6454(a,1,1))]. 8314 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(8313(a,1),5292(a,1,2)),flip(a)]. 8315 K(x,T(y * z,y)) = K(x,z * y). [hyper(17,a,6624,a,b,8314,a(flip)),flip(a)]. 8316 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(227,a,6026,a,b,8315,a)]. 8317 K(x,T(y * z,z)) = K(x,z * y). [hyper(227,a,7537,a,b,8315,a(flip)),flip(a)]. 8318 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),8315(a,1,2,1)),flip(a)]. 8319 K(x,(y \ 1) * z) = K(x,y \ z). [para(1201(a,1),8315(a,1,2)),flip(a)]. 8320 K(x,(1 / y) \ z) = K(x,y * z). [para(1209(a,1),8315(a,1,2))]. 8321 K(x,y / (z \ 1)) = K(x,y * z). [para(1231(a,1),8315(a,1,2))]. 8322 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(8315(a,1),6587(a,2,2))]. 8323 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(8317(a,1),6580(a,1,1))]. 8324 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(7152(a,1),8318(a,1,2)),flip(a)]. 8325 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [hyper(6322,a,8319,a)]. 8326 K(x,(y \ 1) / z) = K(x,y \ (z \ 1)). [hyper(6300,a,8319,a)]. 8327 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [hyper(227,a,6011,a,b,8319,a),flip(a)]. 8330 K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). [para(250(a,1),8319(a,1,2,1)),flip(a)]. 8331 K(x,(y / z) \ z) = K(x,z * (y \ z)). [para(1200(a,1),8319(a,1,2)),flip(a)]. 8333 K(x,(1 / (1 / y)) * z) = K(x,y * z). [hyper(7753,a,8320,a)]. 8334 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [hyper(7756,a,8321,a)]. 8336 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [para(8321(a,1),7443(a,1,2)),flip(a)]. 8337 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [para(8321(a,1),7504(a,1,2)),flip(a)]. 8338 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8316(a,2),7750(a,1))]. 8339 K(x,(y \ z) \ (z \ 1)) = K(x,z \ (y / z)). [para(2130(a,1),8325(a,1,2)),flip(a)]. 8340 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4432(a,1),8325(a,1,2,1)),flip(a)]. 8341 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(253(a,1),8326(a,1,2)),flip(a)]. 8342 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(318(a,1),8326(a,1,2))]. 8343 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(14(a,1),8327(a,1,2)),flip(a)]. 8344 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(3607(a,1),8327(a,1,2)),flip(a)]. 8345 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x \ (1 / (x / y)),x * (y \ x)) * z. [para(8331(a,1),4207(a,2,1))]. 8346 K(1 / x,y * x) = K(1 / x,x * y). [hyper(227,a,6153,a(flip),b,8333,a(flip)),flip(a)]. 8347 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(114(a,2),8334(a,1,2,2))]. 8348 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(8334(a,1),7706(a,1,2))]. 8349 K(x,y \ (1 / (1 / z))) = K(x,y \ z). [para(143(a,1),8341(a,1,2,2)),flip(a)]. 8350 K(x * y,x \ (y \ 1)) = K(x \ y,y \ x). [hyper(7939,a,8342,a),flip(a)]. 8351 K(x * y,x \ (y \ 1)) != z | K(x \ y,y \ x) = z. [para(8342(a,1),7939(a,1))]. 8352 K(x,(1 / (y * z)) \ (z \ 1)) = K(x,y). [para(1457(a,2),8343(a,1,2))]. 8353 K(x,K(y \ 1,y) * z) = K(x,z). [para(3627(a,1),8343(a,1,2))]. 8354 K(x,K(y,y \ 1) * z) = K(x,z). [para(2257(a,1),8353(a,1,2,1))]. 8355 K(x,y * K(z,z \ 1)) = K(x,y). [para(3724(a,1),8353(a,1,2)),flip(a)]. 8356 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(7230(a,2),8354(a,1,2))]. 8359 x * K(1 / y,z * y) = x * K(1 / y,y * z). [hyper(21,a,8346,a)]. 8360 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(227,a,8274,a,b,8347,a)]. 8362 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(7537(a,2),8338(a,1))]. 8363 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(6565(a,1),8362(a,1))]. 8364 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(7613(a,1),8362(a,1))]. 8365 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(6723,a,8323,a)]. 8366 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(8324(a,1),5097(a,1))]. 8367 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(227,a,7443,a,b,8336,a)]. 8368 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),8337(a,2,2,2))]. 8369 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8348(a,1),5138(a,1,1))]. 8370 K(x * y,y \ (x \ 1)) = K(y \ x,x \ y). [hyper(227,a,8304,a,b,8350,a(flip)),flip(a)]. 8371 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3752(a,1),8356(a,1,2,1))]. 8372 T(x,T(y * z,z)) = T(x,z * y). [hyper(17,a,6748,a,b,8365,a),flip(a)]. 8373 T(x,(1 / y) \ z) = T(x,y * z). [hyper(227,a,7602,a(flip),b,8372,a(flip)),flip(a)]. 8374 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [hyper(227,a,6044,a,b,8373,a)]. 8375 T(x,(y \ 1) * z) = T(x,y \ z). [para(62(a,1),8373(a,1,2,1)),flip(a)]. 8376 T(x,T(y * z,y)) = T(x,z * y). [para(1209(a,2),8373(a,1,2))]. 8377 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [hyper(6128,a,8375,a)]. 8380 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(8375(a,1),6574(a,1,2,2))]. 8381 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(8375(a,1),6669(a,1,2))]. 8382 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(227,a,7702,a,b,8376,a(flip)),flip(a)]. 8383 T(x,(1 / y) \ z) != u | T(x,y * z) = u. [para(8374(a,2),6127(a,1))]. 8384 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3258(a,2),8377(a,1,2,1))]. 8385 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(7493,a,8382,a)]. 8386 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(8385(a,1),6734(a,1,1)),flip(b)]. 8387 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(1209(a,2),8383(a,1,2))]. 8388 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(7702(a,2),8387(a,1))]. 8389 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(8367(a,2),7473(a,1))]. 8390 K(x,K(y,(z \ 1) / (u / z))) != w | K(y,K(x,u)) = w. [para(8368(a,2),7430(a,1))]. 8391 (x \ (y \ 1)) * (y * x) = K(x \ y,y \ x). [hyper(227,a,2289,a(flip),b,8370,a(flip)),flip(a)]. 8392 (x * y) * (1 / (z * (x * y))) = K(y \ x,x \ y) / z. [para(8370(a,1),3667(a,1,1)),flip(a)]. 8393 (x \ (y * z)) * (1 / (y * z)) = x \ K(z \ y,y \ z). [para(8370(a,1),3690(a,1,2)),flip(a)]. 8394 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(7443(a,1),8388(a,1,1,2))]. 8395 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(7481(a,1),8388(a,1,1,2))]. 8396 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7522(a,1),8388(a,1,1,2))]. 8397 x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). [para(5871(a,1),8359(a,1,2)),flip(a)]. 8398 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4941(a,1),8371(a,1,2,1)),flip(a)]. 8399 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(72,a,8311,a(flip),b,5801,a),flip(a)]. 8400 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8311(a,1),5845(a,1,1)),flip(a)]. 8401 K(x * y,y \ (x \ 1)) != z | K(y \ x,x \ y) = z. [para(8304(a,2),8351(a,1))]. 8402 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(8363,a,8263,a)]. 8403 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(7305,a,8402,a)]. 8404 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(227,a,8051,a(flip),b,8384,a)]. 8405 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [hyper(227,a,4996,a(flip),b,8404,a)]. 8406 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(5047,a,8405,a)]. 8407 x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z * y)) = u. [para(7231(a,2),6198(a,1))]. 8408 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(464,a,7328,a)]. 8409 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(227,a,7272,a(flip),b,8408,a(flip)),flip(a)]. 8410 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(227,a,7247,a(flip),b,8408,a(flip)),flip(a)]. 8411 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(1971(a,1),8410(a,1,1))]. 8412 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(464,a,7338,a)]. 8413 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7338(a,1),6517(a,1,1))]. 8414 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(227,a,7247,a(flip),b,8412,a(flip)),flip(a)]. 8415 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5510(a,1),7414(a,1,1)),flip(a)]. 8416 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5510(a,1),7445(a,1,2)),flip(a)]. 8417 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(227,a,8415,a,b,8416,a(flip)),flip(a)]. 8418 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7428(a,1),8417(a,1,1))]. 8419 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8418(a,2),5001(a,1,2))]. 8420 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(5578(a,1),8418(a,2,2))]. 8421 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(5857(a,1),8418(a,2,2))]. 8422 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(227,a,7541,a(flip),b,7557,a)]. 8424 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(113(a,1),8422(a,1,2))]. 8425 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(163(a,1),8422(a,1,2)),flip(a)]. 8426 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(227,a,7371,a(flip),b,8424,a(flip))]. 8427 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7526(a,1),8424(a,1,1))]. 8428 K(L(x,x \ 1,y),z) = K(x,z). [hyper(227,a,359,a(flip),b,8425,a)]. 8429 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(7659,a,8428,a),flip(a)]. 8430 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(8429(a,1),7647(a,1))]. 8431 K(L(x,x \ K(y,x),z),u) != w | K(x,u) = w. [para(4963(a,1),8430(a,1,1,2))]. 8432 L(K(x,y),K(z,x),u) = K(x,y). [hyper(8431,a,8425,a),flip(a)]. 8433 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(8432(a,1),44(a,1,1)),flip(a)]. 8434 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8432(a,1),100(a,1,2))]. 8435 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8432(a,1),469(a,1,2,1))]. 8436 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(8432(a,1),470(a,1,2,1))]. 8437 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6498,a,8434,a)]. 8438 R(x,K(y,z),K(z,u)) = x. [hyper(495,a,8434,a)]. 8439 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(227,a,8183,a(flip),b,8434,a(flip))]. 8440 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(3070(a,2),8434(a,2,2))]. 8441 R(x,T(K(y,z),u),K(z,w)) = x. [para(2627(a,1),8438(a,1,2))]. 8442 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(8438(a,1),4343(a,1,1,1))]. 8443 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5625(a,1),8438(a,1,2))]. 8444 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6555(a,1),8441(a,1,3))]. 8445 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(8443(a,1),492(a,1,1))]. 8446 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8444(a,1),1646(a,1,1)),flip(a)]. 8447 L(K(x,y),K(z,y),u) = K(x,y). [hyper(6891,a,8437,a)]. 8449 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(3070(a,2),8437(a,1,1,2))]. 8450 L(K(x,y),K(y,z),u) = K(x,y). [para(5202(a,1),8447(a,1,2))]. 8451 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(8450(a,1),100(a,1,2))]. 8452 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7526(a,1),8450(a,1,2))]. 8453 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(8452(a,1),209(a,1,2))]. 8454 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(166,a,8440,a,b,711,a)]. 8456 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6511(a,1),8440(a,1,1)),flip(a)]. 8457 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,8437,a,b,8449,a(flip)),flip(a)]. 8458 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(8449(a,1),6499(a,1,1)),flip(b)]. 8459 R(x,K(y,z),K(u,y)) = x. [hyper(495,a,8451,a)]. 8460 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(227,a,8440,a,b,8451,a)]. 8461 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3660(a,1),8451(a,1,1))]. 8462 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6496(a,1),8451(a,1,1)),flip(a)]. 8463 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(8459(a,1),2372(a,1,2,2)),flip(a)]. 8464 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(8457(a,1),19(a,1)),flip(a)]. 8465 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(8457(a,1),293(a,1,1)),flip(b)]. 8466 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [hyper(6829,a,8460,a),flip(a)]. 8467 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(8462(a,1),5076(a,1,1,1))]. 8468 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(6272(a,1),8439(a,1,2)),flip(a)]. 8469 x * (R(x,y,x) \ z) = z * (x \ L(x,y,x)). [hyper(6373,a,8468,a)]. 8470 x / R(x,y,x) = x \ L(x,y,x). [hyper(70,a,730,a(flip),b,8468,a(flip)),flip(a)]. 8471 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8470(a,1),3809(a,1,1,2,1))]. 8472 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [hyper(72,a,5791,a(flip),b,8469,a)]. 8473 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7294(a,1),8472(a,1,2)),flip(a)]. 8474 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(227,a,6062,a,b,8473,a(flip)),flip(a)]. 8475 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(8473(a,1),8206(a,1,1))]. 8476 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(8474(a,1),6158(a,1,1,2,1))]. 8477 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(227,a,7542,a(flip),b,7559,a)]. 8479 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(227,a,7275,a(flip),b,8477,a(flip)),flip(a)]. 8480 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(113(a,1),8477(a,1,2))]. 8481 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(163(a,1),8477(a,1,2)),flip(a)]. 8482 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(5949(a,1),8477(a,1,2))]. 8483 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(227,a,7235,a(flip),b,8480,a(flip))]. 8484 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8480(a,1),100(a,1,2))]. 8485 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(5747(a,1),8480(a,1,2))]. 8487 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(6508(a,1),8479(a,1,2,2))]. 8488 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(227,a,7269,a(flip),b,8482,a)]. 8489 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(227,a,8069,a(flip),b,7573,a(flip)),flip(a)]. 8490 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7648,a,8489,a),flip(a)]. 8492 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8490(a,1),6454(a,1,1,2)),flip(a)]. 8493 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(227,a,6454,a(flip),b,8492,a)]. 8494 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(6194(a,1),8493(a,1,2,1))]. 8495 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(227,a,7897,a(flip),b,7591,a(flip)),flip(a)]. 8496 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7662,a,8495,a),flip(a)]. 8498 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4977(a,1),7592(a,1,1,1,2))]. 8499 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(227,a,7403,a(flip),b,7667,a(flip))]. 8500 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8499(a,1,2,2)),flip(a)]. 8501 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(227,a,8238,a(flip),b,7771,a)]. 8502 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(110(a,1),8501(a,1,1)),flip(a)]. 8503 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(227,a,7550,a(flip),b,7776,a)]. 8504 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). [hyper(227,a,7625,a(flip),b,7785,a)]. 8505 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z). [hyper(227,a,6137,a(flip),b,8504,a)]. 8506 T(T(x,K(y,z)),z \ y) = T(x,y / z). [hyper(6124,a,8505,a)]. 8507 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(8325(a,1),8506(a,1,1,2))]. 8508 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(7168(a,2),7791(a,1,2))]. 8509 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(5923(a,2),7800(a,2,2,2)),flip(a)]. 8511 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),7834(a,1,1,1,1)),flip(a)]. 8512 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(2312(a,1),7866(a,1,2,1))]. 8513 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(227,a,4953,a,b,7868,a)]. 8514 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5304(a,1),8513(a,2,1,2,1))]. 8515 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(5991(a,1),8513(a,2,1,2))]. 8516 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(7887(a,1),479(a,1,1,1))]. 8517 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(227,a,8029,a(flip),b,7949,a)]. 8518 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(227,a,7543,a(flip),b,7984,a)]. 8519 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7984(a,2),7661(a,1))]. 8521 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8518(a,1,2)),flip(a)]. 8522 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(227,a,7976,a,b,8521,a(flip)),flip(a)]. 8524 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5202(a,1),8522(a,1,2,1))]. 8525 R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). [para(4942(a,1),8524(a,1,2))]. 8526 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(112(a,1),8519(a,1,2,1))]. 8527 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(227,a,6559,a,b,8109,a)]. 8528 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(227,a,8107,a(flip),b,8109,a)]. 8530 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(8116(a,1),3116(a,1,1)),flip(a)]. 8531 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [para(1195(a,1),8140(a,1,2,1)),flip(a)]. 8532 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(13(a,1),8531(a,1,2,1,1)),flip(a)]. 8533 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(963(a,1),8532(a,1,2,1)),flip(a)]. 8534 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(227,a,7434,a(flip),b,8147,a)]. 8535 K(x,y) \ (((1 / z) * (x * x)) \ 1) = (x * T(x,y)) \ z. [hyper(227,a,250,a(flip),b,8177,a)]. 8536 (x \ K(y,z)) * (z * T(T(z,y),y)) = (z \ x) \ T(z,y). [para(6084(a,1),8184(a,1,2))]. 8537 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7344(a,1),8189(a,1,1)),flip(a)]. 8538 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8537(a,1),6427(a,1,2))]. 8539 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(6355(a,2),8208(a,1,2))]. 8540 K(x,y) * ((1 / x) \ z) = (1 / T(x,y)) \ z. [para(5345(a,1),8222(a,1,1))]. 8541 K(x,y) * ((1 / T(y,x)) \ z) = (1 / y) \ z. [hyper(6490,a,8540,a)]. 8542 T(x,y) \ ((1 / T(x,y)) \ z) = x \ ((1 / x) \ z). [hyper(72,a,8540,a(flip),b,5791,a)]. 8543 (1 / T(x,y)) \ (1 / z) = K(x,y) * (x / z). [para(339(a,1),8540(a,1,2)),flip(a)]. 8545 K(x,y) * (x / z) = T(x,y) / z. [hyper(350,a,8543,a),flip(a)]. 8546 K(x,y) * (T(y,x) / z) = y / z. [hyper(6490,a,8545,a)]. 8547 (x \ y) \ (T(y / x,x) / z) = (y / x) \ ((y / x) / z). [hyper(72,a,8545,a(flip),b,5819,a)]. 8548 T(x,y) / (z \ x) = K(x,y) * z. [para(62(a,1),8545(a,1,2)),flip(a)]. 8549 K((1 / x) * y,x \ 1) * (((1 / x) * y) / z) = (y / x) / z. [para(1533(a,1),8545(a,2,1))]. 8550 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(7434(a,2),8545(a,1,1))]. 8551 x / (y \ T(x,z)) = K(z,x) * y. [para(62(a,1),8546(a,1,2)),flip(a)]. 8552 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(6733(a,1),8546(a,1,1))]. 8554 (K(x,y) * z) \ T(x,y) = z \ x. [para(8548(a,1),65(a,1,1))]. 8556 (K(x,y) * z) \ x = (z \ x) * K(y,x). [para(8548(a,1),6691(a,1,1))]. 8558 (x * x) \ (K(y,x) * z) = 1 / ((z \ T(x,y)) * x). [para(8551(a,1),1009(a,1,2))]. 8559 L(x \ y,x,K(y,z)) = x \ y. [hyper(5069,a,8554,a)]. 8560 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(5795(a,1),8554(a,1,1))]. 8561 (x \ y) \ T(x,z) = (y \ x) * T(x,z). [para(8554(a,1),5822(a,1,1)),flip(a)]. 8562 a(K(x,y),z,z \ x) = 1. [hyper(34,a,8559,a)]. 8564 a(K(x * y,z),x,y) = 1. [para(13(a,1),8562(a,1,3))]. 8565 a(K(x,y),z,z \ y) = 1. [para(5199(a,1),8562(a,1,1))]. 8566 a(K(x,K(y,z * u)),z,u) = 1. [para(7398(a,1),8564(a,1,1))]. 8567 a(K(x,y),z,z \ y) = K(u,K(w,v5)) * K(u,K(w,v5)). [hyper(227,a,7467,a,b,8565,a)]. 8568 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(4949(a,2),8556(a,2,1))]. 8569 (x * (T(x / y,x) / z)) \ x = L(z,T(x,y),T(x,y)) * (y / T(x,y)). [hyper(227,a,1895,a(flip),b,8560,a(flip))]. 8570 (x \ y) \ T(x,z) = (y \ T(x,z)) * x. [hyper(227,a,6686,a,b,8561,a)]. 8571 (x \ 1) \ T(x,y) = x * T(x,y). [para(50(a,1),8561(a,2,1))]. 8573 ((1 / x) * y) * T((1 / x) * y,z) = (y \ x) \ T((1 / x) * y,z). [para(250(a,1),8571(a,1,1)),flip(a)]. 8574 x * (T(y,K(z,u)) / w) != y / w | K(y,K(u,z)) = x. [para(8552(a,1),20(a,1)),flip(a)]. 8575 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7399(a,1),8568(a,2,1))]. 8576 L(x,T(y,z),T(y,z)) = y \ ((1 / y) \ x). [hyper(1365,a,8542,a)]. 8577 L(x,T(y,z),T(y,z)) = L(x,y,y). [hyper(227,a,1364,a(flip),b,8576,a)]. 8578 L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x * (y \ z),y,y). [hyper(227,a,4059,a,b,8577,a(flip)),flip(a)]. 8579 (x * x) \ (K(y,x) * z) = 1 / ((z \ x) * T(x,y)). [para(6686(a,1),8558(a,2,2))]. 8580 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4978(a,1),8233(a,2,1))]. 8581 T(x \ 1,K(y,z)) \ (1 / x) = K(K(y,z) / x,x). [hyper(227,a,5392,a(flip),b,8234,a)]. 8582 T(x \ 1,K(y,z)) \ (1 / x) = K(x \ K(y,z),x). [hyper(227,a,5088,a(flip),b,8581,a)]. 8583 K(x \ K(y,z),x) = K(x,x \ K(y,z)). [hyper(227,a,6074,a(flip),b,8582,a(flip))]. 8584 ((x / y) * K(z,z \ K(u,w))) \ K(z,z \ K(u,w)) = (K(z,z \ K(u,w)) * y) * (x \ K(z,z \ K(u,w))). [para(8583(a,1),5503(a,1,1,2))]. 8585 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5124,a,8239,a),flip(a)]. 8586 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(2835(a,2),8241(a,1,2))]. 8587 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(227,a,42,a,b,8243,a)]. 8588 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(227,a,7364,a(flip),b,8265,a(flip))]. 8589 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [hyper(227,a,7194,a(flip),b,8588,a(flip))]. 8590 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(15(a,1),8588(a,1,1,1,2)),flip(a)]. 8591 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,8589,a)]. 8592 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5117(a,1),8277(a,1,1,1)),flip(a)]. 8593 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(7752,a,8292,a)]. 8594 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(227,a,7772,a(flip),b,8293,a)]. 8595 K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((x / y) * z)) * (1 / (u * (((1 / y) * (z / x)) * x))). [para(1508(a,1),8392(a,1,1)),flip(a)]. 8596 (x * (y * z)) \ K(y \ x,x \ y) = L(z,y,x) \ (1 / (x * y)). [hyper(227,a,1104,a(flip),b,8393,a(flip))]. 8597 x \ K(y \ x,x \ y) = y * (1 / (x * y)). [para(13(a,1),8393(a,1,1)),flip(a)]. 8598 x * (y * (1 / (x * y))) != z | K(y \ x,x \ y) = z. [para(8597(a,1),205(a,1,2)),flip(b)]. 8599 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(227,a,7450,a(flip),b,8420,a)]. 8600 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8420(a,2),7475(a,1,1))]. 8601 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7400(a,1),8599(a,1,1))]. 8602 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7450(a,1),8599(a,1,1))]. 8603 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(227,a,8417,a(flip),b,8601,a(flip)),flip(a)]. 8604 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(227,a,8421,a(flip),b,8602,a(flip))]. 8605 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(227,a,8418,a(flip),b,8602,a(flip)),flip(a)]. 8606 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(8602(a,2),4996(a,2,2)),flip(a)]. 8607 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8427(a,2),7659(a,1))]. 8608 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(112(a,1),8607(a,1,2,1))]. 8609 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(7272(a,1),8608(a,1))]. 8610 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(227,a,8118,a(flip),b,8456,a)]. 8611 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(227,a,8487,a(flip),b,8485,a)]. 8613 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8498(a,1),16(a,1,1))]. 8614 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(8084(a,1),8517(a,1,2))]. 8615 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [hyper(8526,a,8525,a),flip(a)]. 8616 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(4647(a,1),8615(a,2,2))]. 8617 K(x,y) \ ((x * x) \ z) = (x * T(x,y)) \ z. [para(250(a,1),8535(a,1,2))]. 8618 K(x,y) * ((y * y) \ z) = (y * T(y,x)) \ z. [hyper(6491,a,8617,a)]. 8619 K(x,y / x) * (((y / x) * (y / x)) \ z) = ((y / x) * (x \ y)) \ z. [para(115(a,1),8618(a,2,1,2))]. 8620 K(x,y * (1 / x)) * (((y * (1 / x)) * (y * (1 / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. [para(1395(a,1),8618(a,2,1,2))]. 8621 (x \ K(y,z)) * (z * T(T(z,y),y)) = (x \ T(z,y)) * z. [hyper(227,a,8570,a(flip),b,8536,a)]. 8622 (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). [para(115(a,1),8547(a,1,2,1)),flip(a)]. 8623 ((x \ (y / z)) \ 1) \ (z * (y \ 1)) = (z \ y) \ ((z \ y) / x). [hyper(227,a,5420,a,b,8622,a(flip)),flip(a)]. 8624 (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = ((y \ x) \ ((y \ x) / z)) \ 1. [para(8622(a,1),3313(a,2,1))]. 8625 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7429(a,1),8575(a,2,2))]. 8626 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(72,a,8587,a(flip),b,5814,a),flip(a)]. 8627 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8587(a,1),6929(a,1,1,2)),flip(a)]. 8628 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(8590(a,1),8496(a,1,2,2))]. 8629 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(13(a,1),8628(a,1,2,2,1,1))]. 8630 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8613(a,1),6455(a,1,2))]. 8632 (x \ K(y,z)) * (z * T(T(z,y),y)) = (x \ z) * (u / (T(z,y) \ u)). [hyper(227,a,6764,a,b,8621,a)]. 8633 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(8490(a,1),8630(a,1,2,1,2,2)),flip(a)]. 8634 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(6057(a,1),5826(a,1,1))]. 8635 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5826(a,1),6464(a,1,2))]. 8636 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5826(a,1),7060(a,1,2))]. 8637 K(x * (y * z),a(x,y,z) \ 1) != u | K((x * y) * z,x * (y * z)) = u. [para(5975(a,1),6177(a,1))]. 8638 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(7479(a,1),6001(a,1,1)),flip(a)]. 8639 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(227,a,5837,a(flip),b,8638,a)]. 8641 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(227,a,7390,a(flip),b,8639,a(flip)),flip(a)]. 8643 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(115(a,1),8641(a,1,2)),flip(a)]. 8644 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6082(a,2),5179(a,1))]. 8646 ((1 / x) \ y) * T(y,z) = x * (y * T(y,z)). [hyper(6279,a,8175,a)]. 8647 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(506,a,6379,a),flip(a)]. 8648 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7447(a,1),8647(a,1,3)),flip(a)]. 8649 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(7292(a,1),6573(a,2,1))]. 8650 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(227,a,6559,a(flip),b,6801,a)]. 8651 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(227,a,4997,a(flip),b,7092,a)]. 8652 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(5994(a,1),8651(a,1,2))]. 8653 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5625(a,1),8652(a,1,2,1))]. 8654 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(7611(a,1),7199(a,1,1))]. 8655 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(227,a,8094,a(flip),b,7349,a(flip))]. 8656 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(2475(a,1),7594(a,1,1))]. 8657 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(8656(a,1),7009(a,1,1,2)),flip(a)]. 8658 K(x * L(y,z,y),y) = K(y * x,y). [hyper(227,a,7006,a(flip),b,8657,a)]. 8660 K(x * (L(x,y,x) \ z),x) = K(z,x). [hyper(227,a,7322,a(flip),b,8658,a(flip))]. 8661 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(8660(a,1),4978(a,1,1,2))]. 8662 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(8661(a,1),5024(a,1,1)),flip(a)]. 8663 T(x,L(x,y,x) * z) = T(x,x * z). [para(13(a,1),8662(a,1,2,2)),flip(a)]. 8665 T(x,L(x,y,x) * z) = x * K(x,x * z). [hyper(227,a,4996,a(flip),b,8663,a)]. 8667 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5047,a,8665,a)]. 8668 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(6508(a,1),7689(a,1,1,2)),flip(a)]. 8669 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(7658,a,7774,a),flip(a)]. 8670 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(227,a,6555,a,b,7805,a)]. 8671 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(227,a,7956,a(flip),b,7849,a(flip)),flip(a)]. 8672 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(720(a,1),7901(a,1,2))]. 8673 K(x,a(K(x,y),z,u)) = 1. [hyper(227,a,6575,a(flip),b,8672,a(flip))]. 8675 K(a(K(x,y),z,u),x) = 1. [hyper(71,a,8673,a,b,5094,a),flip(a)]. 8676 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,8673,a)]. 8678 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(37,a,8675,a)]. 8679 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(8676(a,1),113(a,1,2))]. 8680 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8676(a,1),5994(a,1,2,1)),flip(a)]. 8681 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8678(a,1),5994(a,1,2,1)),flip(a)]. 8682 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8075(a,1),7399(a,1,1)),flip(a)]. 8683 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(8128(a,1),6446(a,1,2))]. 8684 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(6513(a,1),8134(a,1,2,1))]. 8685 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8419,a,8606,a)]. 8686 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(466(a,1),8426(a,2,2))]. 8687 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(7280(a,1),8484(a,2,2))]. 8688 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7585,a,8502,a)]. 8689 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(227,a,8242,a(flip),b,8650,a(flip)),flip(a)]. 8691 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),8689(a,1,2,2)),flip(a)]. 8692 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(227,a,7143,a(flip),b,8691,a(flip)),flip(a)]. 8694 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),8692(a,1,2,2)),flip(a)]. 8695 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(227,a,7407,a,b,8694,a)]. 8696 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7671,a,8695,a)]. 8697 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),8696(a,1,2,2)),flip(a)]. 8698 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(109(a,1),8696(a,1,2,2))]. 8699 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7690,a,8697,a)]. 8700 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(65(a,1),8699(a,1,2,2)),flip(a)]. 8701 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7741,a,8700,a),flip(a)]. 8702 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7430,a,8698,a)]. 8703 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(8698(a,1),7459(a,1,1))]. 8704 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(227,a,7428,a,b,8702,a)]. 8705 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(7119(a,2),8704(a,1,2))]. 8706 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(7726,a,8703,a),flip(a)]. 8707 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),8706(a,1,2,2,1)),flip(a)]. 8708 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(6715,a,8707,a),flip(a)]. 8709 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(227,a,8414,a(flip),b,8669,a(flip)),flip(a)]. 8711 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),8709(a,1,2,2)),flip(a)]. 8712 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(227,a,7735,a,b,8711,a(flip)),flip(a)]. 8714 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(136(a,1),8712(a,1,2,2)),flip(a)]. 8715 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(523(a,1),8712(a,1,2,2))]. 8716 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(227,a,7226,a(flip),b,8714,a(flip)),flip(a)]. 8717 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),8716(a,1,2,2,2)),flip(a)]. 8718 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(8717(a,1),7645(a,1))]. 8719 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(6555(a,2),8670(a,1,1))]. 8720 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(7194(a,2),8687(a,2,2))]. 8721 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(227,a,7202,a(flip),b,8688,a),flip(a)]. 8722 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(65(a,1),8721(a,1,1,1)),flip(a)]. 8723 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),8722(a,1,1,2)),flip(a)]. 8725 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(8723(a,1),8526(a,1))]. 8726 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6295,a,8719,a)]. 8727 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(227,a,8035,a(flip),b,8726,a)]. 8728 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(8726(a,2),8045(a,1))]. 8729 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),8727(a,1,2,1,1)),flip(a)]. 8730 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(2312(a,1),8729(a,1,2,1)),flip(a)]. 8731 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(2320(a,2),8729(a,1,2,1)),flip(a)]. 8732 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5810(a,1),5865(a,1,1,2)),flip(a)]. 8733 (1 / (x / y)) \ L(z,y,y) = L((y / x) \ z,y,y). [hyper(2675,a,6361,a),flip(a)]. 8734 (x / y) / ((y * z) \ y) = L((y / x) \ z,y,y). [hyper(1663,a,8733,a)]. 8735 L((x / y) \ (x * (1 / z)),x,x) = (y / x) / (z * (1 / x)). [para(2181(a,1),8734(a,1,2)),flip(a)]. 8736 T(x \ y,x) * (K(x,y) * z) = ((1 / x) * y) * z. [para(5395(a,1),6448(a,1,2,1))]. 8737 K(x \ y,x) * ((x \ y) * (K(x,y) * z)) = ((1 / x) * y) * z. [hyper(6271,a,8736,a)]. 8738 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(227,a,6559,a(flip),b,6585,a)]. 8739 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(6585(a,2),6709(a,1))]. 8740 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(227,a,6630,a(flip),b,6625,a(flip))]. 8741 K(R(x,y,z),x * (u \ 1)) != w | K(R(x,y,z),u \ x) = w. [para(5565(a,1),6706(a,1))]. 8743 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(227,a,8636,a(flip),b,6711,a(flip))]. 8745 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(227,a,6608,a(flip),b,8743,a)]. 8746 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(227,a,6354,a,b,8745,a(flip)),flip(a)]. 8748 K(x,R(T(x,y),z,u) / w) = K(x,R(x,z,u) / w). [hyper(6853,a,8746,a(flip)),flip(a)]. 8749 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. [para(8748(a,2),6609(a,1))]. 8750 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(65(a,1),6728(a,1,1,1,2,1))]. 8751 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5810(a,1),6729(a,1,1,1)),flip(a)]. 8752 (x \ (y * K(z,u))) * K(u,z) = K(z,u) * ((x * K(z,u)) \ y). [hyper(227,a,6530,a(flip),b,6800,a(flip))]. 8753 K(T(x,y),y) * ((1 / T(x,y)) * z) = (1 / x) * z. [para(5379(a,1),6839(a,1,1))]. 8754 K(x,y) * ((1 / T(x,y)) * z) = (1 / x) * z. [para(5082(a,1),8753(a,1,1))]. 8755 T(x,y) * ((1 / T(x,y)) * z) = x * ((1 / x) * z). [para(8754(a,1),5747(a,1,2)),flip(a)]. 8756 (x / y) * ((1 / (x / y)) * z) = (x \ y) * (((1 / y) * x) * z). [hyper(227,a,4076,a(flip),b,8755,a(flip))]. 8757 ((x \ y) * K(z,u)) \ (x \ 1) = (K(u,z) * (y \ x)) * (x \ 1). [hyper(311,a,6878,a)]. 8759 (K(x,y) * (z \ u)) * (u \ 1) = (K(x,y) * u) * ((z * u) \ 1). [hyper(227,a,6878,a(flip),b,6905,a(flip)),flip(a)]. 8760 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(227,a,6914,a(flip),b,6922,a(flip))]. 8761 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(227,a,429,a(flip),b,6948,a)]. 8762 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6420(a,1),7081(a,1,2))]. 8763 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(6420(a,1),8762(a,2,2))]. 8764 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(8763(a,1),461(a,1,2)),flip(a)]. 8765 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(1240(a,1),8764(a,1,2,1))]. 8766 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(1240(a,1),8765(a,2,2,2))]. 8767 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8766(a,1),1626(a,1,1))]. 8768 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(7105(a,1),5913(a,1,2,1))]. 8769 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),7169(a,1,1,2,1)),flip(a)]. 8770 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(92(a,1),7177(a,1,2,1)),flip(a)]. 8771 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(8770(a,1),16(a,1,1))]. 8772 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(6684(a,1),8771(a,1,1))]. 8773 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(7220(a,1),6731(a,1,2))]. 8774 K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. [para(8773(a,1),8407(a,1))]. 8775 K(T(x,y * (z * K(u,w))),w) = K(x,T(w,y * z)). [hyper(227,a,6584,a(flip),b,7227,a)]. 8777 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(7288(a,2),6706(a,1))]. 8778 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [hyper(7636,a,7457,a),flip(a)]. 8779 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(7160(a,1),8778(a,1,2,1)),flip(a)]. 8780 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7434(a,2),7458(a,2,2,1))]. 8781 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(7691(a,1),7186(a,1,2)),flip(a)]. 8782 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(7704(a,1),7693(a,1,1))]. 8783 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(7769(a,2),7690(a,1))]. 8784 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(227,a,6390,a(flip),b,7770,a)]. 8785 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(72,a,8784,a(flip),b,5747,a)]. 8786 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(227,a,7411,a(flip),b,7789,a)]. 8787 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(7577,a,8786,a)]. 8788 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),8787(a,1,2,2)),flip(a)]. 8789 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(8788(a,1),4997(a,1,2,1))]. 8790 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(50(a,1),7804(a,2,1))]. 8791 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(8790(a,1),7484(a,1,2)),flip(a)]. 8792 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7806(a,1),19(a,1)),flip(a)]. 8793 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(227,a,7476,a(flip),b,7855,a)]. 8794 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(65(a,1),8793(a,1,2,2,1,2))]. 8795 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(227,a,8327,a(flip),b,8794,a(flip)),flip(a)]. 8796 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(7809,a,7876,a),flip(a)]. 8797 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(227,a,7392,a(flip),b,8796,a(flip))]. 8798 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8519,a,7985,a),flip(a)]. 8800 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4964(a,1),8798(a,1,2,2)),flip(a)]. 8801 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(6508(a,1),8798(a,1,2,2))]. 8802 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(227,a,7974,a,b,8800,a(flip)),flip(a)]. 8803 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7040(a,1),8802(a,1,1))]. 8804 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8801(a,1),6454(a,1,1,2)),flip(a)]. 8805 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(227,a,6454,a(flip),b,8804,a)]. 8806 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(227,a,6915,a(flip),b,8805,a(flip)),flip(a)]. 8808 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(227,a,6911,a(flip),b,8806,a)]. 8809 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5199(a,1),8808(a,1,2,1))]. 8810 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(7555(a,1),8808(a,1,2)),flip(a)]. 8811 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(227,a,6916,a(flip),b,8809,a(flip)),flip(a)]. 8813 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(13(a,1),8811(a,1,1,2)),flip(a)]. 8814 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(8667(a,1),8813(a,1,1))]. 8815 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(7784,a,8000,a)]. 8816 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(7641,a,8815,a),flip(a)]. 8817 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(227,a,7768,a(flip),b,8816,a)]. 8818 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(227,a,7725,a(flip),b,8817,a(flip)),flip(a)]. 8819 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(7690,a,8818,a)]. 8820 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8818(a,1),7407(a,1,2))]. 8821 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(227,a,8534,a,b,8819,a(flip)),flip(a)]. 8822 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7466,a,8821,a)]. 8823 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(7675,a,8820,a),flip(a)]. 8824 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(227,a,7738,a(flip),b,8823,a(flip)),flip(a)]. 8825 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),8823(a,1,2,2,1)),flip(a)]. 8826 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),8825(a,1,2,2)),flip(a)]. 8827 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(720(a,1),8826(a,1,2,2))]. 8828 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(7650,a,8827,a),flip(a)]. 8830 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(8828(a,1),4996(a,2,2))]. 8831 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(227,a,4996,a,b,8830,a)]. 8832 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(8831(a,1),7878(a,1,1,1))]. 8833 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(227,a,7561,a(flip),b,8038,a(flip))]. 8834 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(227,a,8047,a(flip),b,8833,a(flip)),flip(a)]. 8835 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(8143(a,2),6517(a,1,1))]. 8836 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(2530(a,1),8185(a,1,2))]. 8837 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(2530(a,1),8186(a,1,2))]. 8838 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(227,a,4452,a,b,8191,a(flip)),flip(a)]. 8839 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(8214(a,1),453(a,1,1)),flip(a)]. 8840 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(227,a,7194,a(flip),b,8264,a(flip)),flip(a)]. 8841 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(6555(a,2),8398(a,2,2))]. 8842 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(6559(a,1),8466(a,1,1,2))]. 8843 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(227,a,8130,a(flip),b,8511,a(flip))]. 8844 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8585(a,1),8512(a,2,2))]. 8845 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(227,a,7866,a,b,8844,a),flip(a)]. 8846 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(227,a,7871,a(flip),b,8845,a(flip))]. 8847 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(227,a,7942,a,b,8846,a(flip)),flip(a)]. 8848 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(114(a,1),8847(a,1,2,1))]. 8849 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(8530(a,1),8848(a,1,2,1,1))]. 8850 K(x,y) * (((1 / x) * y) / z) = (y / x) / z. [para(5941(a,1),8549(a,1,1))]. 8851 K(x,y) * (1 / (z * (y \ x))) = (y / x) / z. [para(328(a,1),8850(a,1,2))]. 8852 K(x,y) / (z * (y \ x)) = (y / x) / z. [hyper(6480,a,8851,a)]. 8854 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(7432(a,1),8600(a,1,1,1)),flip(a)]. 8855 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8418(a,1),8854(a,2,1))]. 8856 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(227,a,5004,a,b,8855,a)]. 8857 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(7703,a,8856,a),flip(a)]. 8858 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(227,a,8685,a(flip),b,8857,a(flip))]. 8859 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(7502,a,8858,a)]. 8860 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8858(a,1),7817(a,2,2))]. 8861 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(8859(a,1),7502(a,1))]. 8863 (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = ((x \ y) \ ((x \ y) / z)) \ 1. [para(8623(a,1),1723(a,2,1))]. 8864 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(7920(a,1),8649(a,1,2,2))]. 8865 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [hyper(227,a,6620,a(flip),b,8864,a(flip))]. 8866 K(x \ y,x) * ((y * (x \ 1)) * z) = ((1 / x) * y) * z. [para(8223(a,1),8737(a,1,2))]. 8867 (K(x \ y,x) * (y * (x \ 1))) / (1 / (y * (x \ 1))) = ((1 / x) * y) * (y * (x \ 1)). [hyper(2034,a,8866,a)]. 8868 K(x \ y,x) * (y * ((x \ 1) * (y * (x \ 1)))) = ((1 / x) * y) * (y * (x \ 1)). [para(940(a,1),8866(a,1,2))]. 8869 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(7002(a,1),8738(a,1,1,1,1,2))]. 8870 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(8751(a,2),14(a,1,2))]. 8871 ((1 / x) \ ((1 / y) * K(z,u))) * K(u,z) = K(z,u) * ((K(z,u) \ x) / y). [para(344(a,1),8752(a,2,2))]. 8873 (x * (y \ 1)) * ((y / x) * z) = (y \ x) * (((1 / x) * y) * z). [hyper(227,a,3368,a,b,8756,a(flip)),flip(a)]. 8874 (K(x,y) * (z \ u)) * (u \ 1) = (K(x,y) * u) * (u \ (z \ 1)). [para(123(a,1),8759(a,2,2))]. 8875 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(13(a,1),8761(a,1,2,2,1,2))]. 8876 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(8769(a,2),20(a,1))]. 8877 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(8390,a,8779,a),flip(a)]. 8878 K(x,(T(y,z) / u) / (y / u)) * (y / w) = T(y,K(x,z)) / w. [para(8877(a,2),8550(a,1,1))]. 8879 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(308,a,8780,a),flip(a)]. 8880 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(8458,a,8782,a),flip(a)]. 8881 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(227,a,8740,a(flip),b,8785,a)]. 8882 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(227,a,8500,a(flip),b,8797,a(flip)),flip(a)]. 8883 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(6558,a,8882,a)]. 8884 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(227,a,8034,a(flip),b,8883,a)]. 8885 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(227,a,5589,a(flip),b,8884,a)]. 8886 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(8841(a,2),7812(a,1))]. 8887 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(8870(a,1),7042(a,1,2)),flip(a)]. 8888 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5202(a,1),8887(a,1,2,1,1))]. 8889 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(7515(a,1),8888(a,1,2,1))]. 8890 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(8870(a,1),8889(a,1,2,1)),flip(a)]. 8891 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(6425(a,1),8890(a,1,2,1,1)),flip(a)]. 8892 ((x \ y) * K(z,u)) \ (x \ 1) = (K(u,z) * x) * (x \ (y \ 1)). [hyper(227,a,8757,a,b,8874,a(flip)),flip(a)]. 8893 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5362(a,1),8875(a,1,2)),flip(a)]. 8894 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / w) = x / w. [hyper(6490,a,8878,a)]. 8895 R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = ((T(y,K(x,z)) / w) * w) / y. [para(8878(a,1),111(a,1,1,1)),flip(a)]. 8896 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7434(a,2),8879(a,1,2,1))]. 8897 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8574,a,8894,a),flip(a)]. 8898 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(8438(a,1),5954(a,1,1))]. 8899 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(227,a,8399,a(flip),b,8898,a)]. 8900 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(227,a,8128,a(flip),b,8898,a)]. 8901 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(227,a,1988,a(flip),b,8898,a(flip))]. 8902 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(8898(a,2),3077(a,1))]. 8904 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(227,a,6306,a,b,8901,a(flip)),flip(a)]. 8905 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),8904(a,1,2,2)),flip(a)]. 8906 x \ R(x,T(y,x),x) = a(x,y,x). [para(161(a,1),8905(a,1,2)),flip(a)]. 8907 x \ R(x,y,x) = a(x,y,x). [para(2534(a,1),8906(a,1,2))]. 8908 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(6270,a,8907,a)]. 8909 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(6267,a,8907,a)]. 8910 R(x,y,x) / x = a(x,y,x). [hyper(4645,a,8907,a)]. 8911 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(227,a,6256,a,b,8907,a(flip)),flip(a)]. 8912 x * a(x,y,x) = R(x,y,x). [para(8907(a,1),14(a,1,2))]. 8915 a(x,y,x) * x = R(x,y,x). [para(8907(a,1),4646(a,1,1))]. 8916 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(5559(a,1),8907(a,1,2)),flip(a)]. 8917 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(8907(a,1),6600(a,1,2)),flip(a)]. 8918 T(x * y,x) / x = y * a(x,y,x). [para(8907(a,1),6849(a,1,2)),flip(a)]. 8919 x \ R(x,y,x) != z | a(x,y,x) = z. [para(8912(a,1),282(a,1,2)),flip(b)]. 8920 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(6498,a,8908,a)]. 8921 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(6490,a,8908,a)]. 8922 K(x,x * y) * a(x,y,x) = K(x,y). [para(8908(a,1),6489(a,1,2))]. 8923 (x * y) * a(y,x,y) = T(y * x,y). [para(8908(a,1),6857(a,1,2))]. 8924 (x / y) * a(y,z,y) = x / L(y,z,y). [para(8908(a,1),8610(a,1,2))]. 8925 a(x,y,x) * (y * x) = T(x * y,x). [para(8908(a,1),8772(a,1,1))]. 8926 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(8908(a,1),8880(a,2,2))]. 8927 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6498,a,8909,a)]. 8928 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(227,a,2851,a,b,8918,a(flip)),flip(a)]. 8929 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(8918(a,1),115(a,1,1))]. 8930 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(8918(a,2),172(a,1,2,2))]. 8931 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(8918(a,2),465(a,1,2,2))]. 8932 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(8918(a,2),1158(a,1,2,2,2))]. 8933 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5787(a,2),8919(a,1))]. 8934 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(6266(a,2),8919(a,1))]. 8935 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(14(a,1),8920(a,1,2,2))]. 8936 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(227,a,5301,a,b,8921,a)]. 8937 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),8922(a,1,1,2))]. 8938 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(8923(a,1),1677(a,1,1,2))]. 8939 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(7114(a,1),8927(a,1,2))]. 8940 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(2480(a,1),8911(a,1,2)),flip(a)]. 8941 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(8911(a,1),4646(a,1,1))]. 8942 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),8924(a,1,1)),flip(a)]. 8943 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(2709,a,8942,a)]. 8944 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(8942(a,1),65(a,1,1))]. 8945 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(227,a,6221,a(flip),b,8943,a(flip)),flip(a)]. 8946 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),8943(a,1,1)),flip(a)]. 8947 a(x,y,x) \ x = L(x,y,x). [hyper(4588,a,8944,a)]. 8948 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(897(a,1),8944(a,1,2))]. 8949 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(2407,a,8945,a)]. 8950 L(x,y,x) \ x = x \ R(x,y,x). [hyper(72,a,8912,a(flip),b,8945,a),flip(a)]. 8951 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(227,a,8538,a,b,8945,a(flip)),flip(a)]. 8952 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(8949(a,1),14(a,1,2))]. 8953 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),8952(a,1,2)),flip(a)]. 8954 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,2394,a,b,8953,a),flip(a)]. 8955 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(72,a,8954,a(flip),b,6222,a(flip))]. 8957 a(x,x \ (y \ x),x) != z | a(x,y \ 1,x) = z. [para(8916(a,2),8919(a,1))]. 8958 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(6490,a,8926,a)]. 8959 K(x * y,x) * (K(x,y) * z) != a(x,y,x) * u | T(z,a(x,y,x)) = u. [para(8926(a,2),167(a,2)),flip(a)]. 8960 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) != z | a(x,y \ 1,x) = z. [para(8940(a,1),8957(a,1))]. 8961 K(x * y,x) * (K(x,y) * z) != u | z * a(x,y,x) = u. [para(8958(a,1),6463(a,1,2)),flip(b)]. 8962 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(8946(a,1),8958(a,1,2)),flip(a)]. 8963 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(8951(a,2),19(a,1))]. 8964 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8951(a,1),6425(a,1,2))]. 8965 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(8918(a,1),8928(a,1,1)),flip(a)]. 8966 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(7973(a,1),6248(a,1,1))]. 8967 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6007(a,1),6372(a,1,2))]. 8968 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(506,a,8967,a),flip(a)]. 8969 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(5011(a,1),8968(a,1,2)),flip(a)]. 8970 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6482(a,1),7278(a,1,1))]. 8971 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(6482(a,1),7312(a,1,2))]. 8972 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7515(a,1),6492(a,1,1,3)),flip(a)]. 8973 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(8433(a,1),6519(a,1,2)),flip(a)]. 8974 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5230,a,6768,a),flip(a)]. 8975 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(227,a,6594,a,b,8974,a(flip)),flip(a)]. 8976 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(8975(a,1),6649(a,1,1,2)),flip(a)]. 8977 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(2414(a,1),6830(a,1,1,2))]. 8978 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(227,a,6870,a(flip),b,6928,a(flip))]. 8980 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7515(a,1),8978(a,1,3))]. 8981 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(8644,a,8980,a)]. 8984 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(8981(a,1),3514(a,1,1,2))]. 8986 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(8981(a,1),4411(a,1,1))]. 8989 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(227,a,5459,a(flip),b,6967,a)]. 8990 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(5199(a,1),8989(a,1,2,2))]. 8991 K(x,T(y,z) \ T(x,u)) = K(T(x,z),y \ x). [hyper(7183,a,6497,a)]. 8992 K(x,T(y,z) \ T(x,u)) != w | K(x,T(y \ x,z)) = w. [para(8991(a,2),6709(a,1))]. 8993 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(8992,a,7048,a),flip(a)]. 8995 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(227,a,6035,a(flip),b,8993,a)]. 8996 K((x \ y) * y,T(z,x)) = K((x \ y) * y,z). [hyper(7191,a,7712,a)]. 8997 K((x \ y) * y,z) = K(y * (y / x),z). [hyper(7663,a,8996,a),flip(a)]. 8998 K(x * (x / y),T(z,x \ y)) = K((y / x) \ x,z). [hyper(7865,a,8997,a),flip(a)]. 8999 K((x / y) \ y,y \ (x / y)) = K(y * (y / x),y \ (y \ x)). [para(1285(a,1),8998(a,1,2)),flip(a)]. 9000 K(x \ (y * y),(y * y) \ x) = K(y * (y / x),y \ (y \ x)). [hyper(227,a,5689,a(flip),b,8999,a(flip)),flip(a)]. 9001 K(x * (x / y),x \ (x \ y)) != z | K(x * (y \ x),x \ (y / x)) = z. [para(8999(a,1),8308(a,1))]. 9002 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7547(a,1),7669(a,1,2))]. 9003 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(6555(a,2),7562(a,1,1))]. 9004 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(72,a,7688,a(flip),b,8020,a(flip))]. 9005 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4996(a,2),7734(a,1,1,1))]. 9006 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6734,a,9005,a)]. 9007 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(7933(a,1),1969(a,1,2))]. 9008 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7967(a,1),8603(a,1,2)),flip(a)]. 9009 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(6998(a,1),8141(a,1,1))]. 9010 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(5595(a,2),8153(a,2,2,1))]. 9011 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(5605(a,2),8153(a,2,2,1))]. 9012 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(227,a,7370,a(flip),b,8157,a(flip))]. 9013 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(113(a,1),9012(a,1,2,1)),flip(a)]. 9014 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(160(a,1),9012(a,1,2,1,2)),flip(a)]. 9015 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [hyper(227,a,8094,a(flip),b,9013,a(flip))]. 9016 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(227,a,8093,a(flip),b,9013,a(flip))]. 9017 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(16(a,1),9015(a,1,2,1)),flip(a)]. 9018 K(x,y \ (z * x)) = K(x,(x / y) * z). [hyper(7755,a,9016,a),flip(a)]. 9019 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(227,a,7376,a(flip),b,9016,a)]. 9020 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(2396(a,1),9018(a,1,2)),flip(a)]. 9021 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(9017(a,1),7370(a,1,1))]. 9022 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(9019(a,1),4996(a,2,2))]. 9023 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(9022(a,2),5001(a,1))]. 9024 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(227,a,4017,a,b,8161,a)]. 9025 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(227,a,6555,a,b,8181,a)]. 9026 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(227,a,8732,a,b,8668,a)]. 9027 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(6571(a,1),8668(a,1,1))]. 9028 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [hyper(227,a,8813,a(flip),b,8814,a(flip))]. 9029 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(227,a,8654,a(flip),b,9003,a(flip)),flip(a)]. 9030 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9003(a,1),5582(a,1,1)),flip(a)]. 9031 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9004(a,1),5584(a,1,1))]. 9032 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(227,a,5860,a(flip),b,9009,a(flip))]. 9033 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(7566,a,9032,a)]. 9035 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(9033(a,1),6454(a,1,1,2))]. 9036 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(6517,a,9035,a)]. 9037 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(6555(a,2),9025(a,1,1))]. 9038 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(38(a,1),9026(a,1,1,2))]. 9039 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9026(a,1),6880(a,1,1)),flip(a)]. 9040 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(8708(a,1),9027(a,1,1,1))]. 9041 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(227,a,5857,a(flip),b,9037,a(flip))]. 9043 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(227,a,6220,a(flip),b,9041,a(flip))]. 9044 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(227,a,8078,a,b,9043,a)]. 9045 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(62(a,1),9043(a,1,2,1,1)),flip(a)]. 9046 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(62(a,1),9044(a,1,2,1,1)),flip(a)]. 9047 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(7928,a,9045,a)]. 9048 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(227,a,8089,a(flip),b,9046,a(flip))]. 9049 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(62(a,1),9047(a,1,2,1)),flip(a)]. 9050 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(6715,a,9048,a),flip(a)]. 9051 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6880(a,1),9050(a,1,2))]. 9052 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7648,a,9049,a)]. 9053 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(227,a,9036,a(flip),b,9052,a(flip)),flip(a)]. 9054 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(65(a,1),9053(a,2,2))]. 9055 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(227,a,8380,a(flip),b,5785,a)]. 9056 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(7182(a,2),6014(a,2,2))]. 9057 ((x \ y) * (x \ y)) * T(z,x \ y) = ((y \ x) \ z) / (y \ x). [hyper(227,a,3985,a(flip),b,6146,a(flip)),flip(a)]. 9058 ((x \ y) \ z) / (x \ y) = ((y \ x) * z) * (y \ x). [hyper(227,a,3339,a(flip),b,9057,a(flip))]. 9059 ((x \ y) \ z) / (x \ y) != u * (y \ x) | (y \ x) * z = u. [para(9058(a,2),20(a,1))]. 9060 T((x \ y) \ z,z) / (x \ y) = ((y \ x) * T(z,x \ y)) * (y \ x). [para(771(a,2),9058(a,1,1))]. 9061 ((x \ y) \ K(y \ x,z)) / (x \ y) = T(y \ x,z) * (y \ x). [para(4996(a,2),9058(a,2,1))]. 9062 T((x \ y) \ 1,z) / (x \ y) = T(y \ x,z) * (y \ x). [para(5895(a,1),9061(a,1,1))]. 9063 (x \ y) \ T(1 / (x \ y),z) = T(y \ x,z) * (y \ x). [hyper(7205,a,9062,a)]. 9064 (x \ y) \ T((1 / y) * x,z) = T(y \ x,z) * (y \ x). [para(313(a,1),9063(a,1,2,1))]. 9065 (x \ y) \ T((1 / y) * x,z) = (y \ x) * T(y \ x,z). [hyper(227,a,187,a(flip),b,9064,a)]. 9067 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6263(a,1),6227(a,1,1))]. 9068 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(5265(a,1),6241(a,1,2,2))]. 9069 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(5795(a,1),6250(a,1,2,2)),flip(a)]. 9070 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(9069(a,2),1157(a,1))]. 9071 (1 / (x * y)) * ((y \ (x \ 1)) \ z) = K(y \ x,x \ y) * z. [para(8370(a,1),6252(a,2,1))]. 9072 K(x,L(y \ L(y,z,u),y,u * z)) != w | K(x,a(u,z,y) \ 1) = w. [para(490(a,2),6312(a,1,2))]. 9073 K(x,y) \ ((z * u) * K(y,x)) = (K(x,y) \ z) * (u * K(y,x)). [para(5101(a,1),6459(a,1,1,1)),flip(a)]. 9074 K(x,y) \ ((z * u) * K(y,x)) = (K(y,x) * z) * (u * K(y,x)). [para(6443(a,1),9073(a,2,1))]. 9075 (K(x,y) * z) * (u * K(x,y)) = K(x,y) * ((z * u) * K(x,y)). [hyper(6491,a,9074,a),flip(a)]. 9076 (x * y) * K(z \ u,u \ z) = x * (y * K(z \ u,u \ z)). [hyper(4578,a,9075,a(flip)),flip(a)]. 9077 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [hyper(4574,a,9075,a(flip)),flip(a)]. 9078 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [hyper(4561,a,9075,a(flip)),flip(a)]. 9079 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(3725,a,9077,a)]. 9080 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(3108,a,9077,a)]. 9081 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [hyper(600,a,9077,a)]. 9082 R(x,y,K(z \ 1,z)) = x. [hyper(495,a,9077,a)]. 9083 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(227,a,3113,a,b,9077,a)]. 9084 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(9077(a,1),4575(a,1,1))]. 9085 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(9077(a,1),4613(a,1,1))]. 9086 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(4637,a,9082,a)]. 9087 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(4589,a,9082,a),flip(a)]. 9088 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3759,a,9082,a),flip(a)]. 9089 R(x,K(y \ 1,y),z) = x. [hyper(227,a,4884,a,b,9082,a(flip)),flip(a)]. 9090 R(x,y,K(z,z \ 1)) = x. [para(2257(a,1),9082(a,1,3))]. 9091 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(9082(a,1),3115(a,1,1))]. 9093 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(9089(a,1),109(a,1,1)),flip(a)]. 9095 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(4325,a,9090,a)]. 9098 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(227,a,4612,a(flip),b,9090,a(flip))]. 9099 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(9090(a,1),491(a,1,1))]. 9100 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(9090(a,1),3112(a,1,1))]. 9101 T(x,K(y \ 1,y) * z) = T(x,z). [para(3099(a,2),9087(a,1,2))]. 9102 T(x,K(y,y \ 1) * z) = T(x,z). [para(3721(a,1),9087(a,1,2)),flip(a)]. 9103 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(3881(a,1),9087(a,1,2)),flip(a)]. 9105 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(62(a,1),9095(a,1,3)),flip(a)]. 9106 R(x,y,(z * (1 / u)) \ 1) = R(x,y,(u \ 1) \ (1 / z)). [para(1120(a,1),9095(a,1,3)),flip(a)]. 9107 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(227,a,4434,a(flip),b,9098,a)]. 9109 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(3109(a,1),9098(a,1,2))]. 9110 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3583(a,1),9098(a,1,2))]. 9111 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4506(a,1),9098(a,1,2))]. 9113 T(x,K(y \ z,z \ y) * u) = T(x,u). [para(3444(a,1),9101(a,1,2,1))]. 9114 T(x,(((y \ 1) \ 1) \ z) * u) = T(x,(y \ z) * u). [para(4619(a,1),9101(a,1,2))]. 9115 (x \ (y / z)) \ (x \ y) = R(z,y \ 1,x). [hyper(3286,a,9105,a)]. 9116 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(9105(a,1),109(a,1,1))]. 9117 K((x \ (1 / y)) / z,T(u,x \ (y \ 1))) = K(z \ (x \ (1 / y)),u). [para(9103(a,1),6563(a,1,2))]. 9118 T(x,K(y \ z,z \ y) / (u * w)) = T(x,w \ (u \ 1)). [hyper(6283,a,9113,a)]. 9119 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(3675(a,1),9111(a,1,2,2))]. 9120 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(4507,a,9078,a)]. 9121 K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). [hyper(3090,a,9078,a)]. 9122 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(464,a,9078,a)]. 9123 (x * y) * K(z,z \ 1) = x * (K(z,z \ 1) * y). [para(3087(a,2),9078(a,2,2))]. 9124 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(8608,a,9122,a)]. 9125 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(9124(a,1),5059(a,1,1))]. 9126 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(72,a,9120,a(flip),b,2255,a(flip))]. 9128 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(72,a,9126,a(flip),b,2402,a(flip)),flip(a)]. 9129 (x \ (1 / L(x,y,z))) * x = L(x,y,z) \ 1. [para(9128(a,1),259(a,1,1))]. 9130 x \ (1 / L(x,y,y)) = ((y * x) \ y) / x. [hyper(73,a,1025,a(flip),b,9129,a),flip(a)]. 9131 ((x * y) \ x) / y = y \ (x \ (x / y)). [para(1033(a,1),9130(a,1,2)),flip(a)]. 9132 (1 / x) * L(1 / x,y,y) = x \ (y \ (y / x)). [hyper(227,a,1720,a,b,9131,a(flip)),flip(a)]. 9133 (1 / x) * (y \ (y / x)) = x \ (y \ (y / x)). [para(1371(a,1),9132(a,1,2))]. 9134 (x \ (y \ (y / x))) \ 1 != z | (y \ (y / x)) \ x = z. [para(9133(a,1),338(a,1,1))]. 9135 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [para(3099(a,2),9079(a,1,2,2))]. 9136 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(3566(a,1),9079(a,1,2,2))]. 9137 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(3721(a,1),9079(a,1,2,2))]. 9138 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(9083(a,1),9081(a,1,2))]. 9139 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(3099(a,2),9086(a,1,2))]. 9140 x / (y * K(z,z \ 1)) = K(z,z \ 1) * (x / y). [para(5378(a,1),9086(a,1,2,2))]. 9141 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(3757(a,1),9088(a,2,2))]. 9142 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(4652,a,9091,a)]. 9144 L(x,K(y \ 1,y),z) = x. [hyper(464,a,9093,a)]. 9147 L(x,K(y,y \ 1),z) = x. [para(2257(a,1),9144(a,1,2))]. 9148 L(x,K(y \ z,z \ y),u) = x. [para(3444(a,1),9144(a,1,2))]. 9152 a(x,K(y,y \ 1),z) = 1. [hyper(34,a,9147,a)]. 9153 (x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z). [hyper(227,a,6469,a(flip),b,9147,a(flip)),flip(a)]. 9154 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(9147(a,1),100(a,1,2))]. 9155 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [hyper(227,a,3087,a,b,9099,a)]. 9156 (x \ (1 / y)) * K(z,z \ 1) = x \ (z * (1 / (y * z))). [para(3665(a,1),9099(a,1,2)),flip(a)]. 9157 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(227,a,3087,a,b,9100,a)]. 9159 x \ (K(y,y \ 1) * z) != u | K(y,y \ 1) * (x \ z) = u. [para(9100(a,2),3090(a,1))]. 9160 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(9100(a,2),8355(a,1,2))]. 9161 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(3542(a,1),9160(a,1,2,2))]. 9162 K(x,y \ (z \ (1 / u))) = K(x,y \ (z \ (u \ 1))). [para(3880(a,1),9160(a,1,2,2))]. 9163 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4556(a,1),9160(a,1,2)),flip(a)]. 9164 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(3651(a,1),9163(a,1,2,1))]. 9165 T(x,(((y \ 1) \ K(z,u)) \ w) * v5) = T(x,((y * K(z,u)) \ w) * v5). [para(6614(a,1),9114(a,1,2,1,1))]. 9166 (x \ 1) * (y * K(z,z \ 1)) = ((x \ z) * (1 / z)) * y. [hyper(4640,a,9121,a)]. 9167 K(x,x \ 1) * (y * (1 / z)) = y * (x * (1 / (z * x))). [para(3665(a,1),9121(a,2,2))]. 9168 (x * (K(y,y \ 1) * z)) / u = K(y,y \ 1) * ((x * z) / u). [para(9123(a,1),4617(a,1,1))]. 9169 K(x,x \ 1) * (y * (K(x,x \ 1) * z)) = y * z. [para(9123(a,1),5388(a,1,2))]. 9170 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(9123(a,1),8355(a,1,2))]. 9171 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(9123(a,1),9099(a,1,2))]. 9172 K(x,x \ 1) * (y * (z * u)) = y * (z * (K(x,x \ 1) * u)). [para(9123(a,1),9121(a,2,2))]. 9173 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(3711(a,1),9170(a,1,2,2)),flip(a)]. 9174 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(227,a,2408,a(flip),b,9125,a(flip)),flip(a)]. 9176 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(9137(a,2),24(a,2,2,1)),flip(a)]. 9178 K(x,x \ 1) * (y * (z \ 1)) = y * ((z \ x) * (1 / x)). [para(3676(a,1),9137(a,2,2))]. 9179 x / (K(y,y \ 1) * z) = K(y,y \ 1) * (x / z). [para(5378(a,1),9139(a,1,2,1))]. 9180 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(227,a,3099,a,b,9142,a)]. 9181 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(9142(a,2),9087(a,1,2))]. 9182 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(9137(a,1),9142(a,1,1))]. 9183 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(3649(a,1),9181(a,1,2,1)),flip(a)]. 9184 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(3651(a,1),9181(a,1,2,1))]. 9185 (x * K(y,y \ 1)) \ z = K(y,y \ 1) * (x \ z). [para(5378(a,1),9153(a,2,1))]. 9186 K(x,x \ 1) * ((1 / y) \ z) = y / ((z \ x) * (1 / x)). [hyper(227,a,5586,a(flip),b,9155,a(flip))]. 9187 K(x,x \ 1) * (y \ (1 / z)) = y \ (x * (1 / (z * x))). [para(3665(a,1),9155(a,1,2)),flip(a)]. 9188 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(9157(a,2),3093(a,1))]. 9189 K(x,x \ 1) * (y \ ((z \ 1) * u)) = y \ (((z \ x) * (1 / x)) * u). [para(4615(a,1),9157(a,1,2)),flip(a)]. 9190 K(x,y \ ((z \ u) \ 1)) = K(x,y \ ((u \ 1) * z)). [para(749(a,1),9161(a,1,2,2))]. 9191 K(x,x \ 1) * (y * ((z \ x) * (1 / x))) = y * (z \ 1). [para(3676(a,1),9169(a,1,2,2))]. 9192 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(5076(a,2),9173(a,2,2,2)),flip(a)]. 9193 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(114(a,1),9174(a,2,1))]. 9194 K(x,x \ 1) * (y / (x * z)) = y / T(z * x,x \ 1). [para(3586(a,1),9179(a,1,2)),flip(a)]. 9195 (K(x,x \ 1) * y) \ z = K(x,x \ 1) * (y \ z). [para(5378(a,1),9180(a,2,1))]. 9196 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(227,a,7354,a,b,9184,a(flip)),flip(a)]. 9197 K(x,x \ 1) * (y \ (1 / z)) = ((y \ x) * (1 / x)) / z. [hyper(5588,a,9185,a),flip(a)]. 9198 (K(x,x \ 1) * (y \ z)) * ((y \ x) * (1 / x)) = ((y \ x) * (1 / x)) * (z * ((y \ x) * (1 / x))). [para(9185(a,1),5587(a,1,1))]. 9199 K((x \ y) * z,z \ ((y \ 1) * x)) = K(z \ (x \ y),(x \ y) \ z). [hyper(8401,a,9190,a),flip(a)]. 9200 K(x,((y \ z) * u) \ 1) = K(x,u \ ((z \ 1) * y)). [hyper(227,a,8154,a,b,9190,a(flip)),flip(a)]. 9201 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(78,a,9193,a)]. 9202 (K(x,x \ 1) * y) \ (z \ 1) = ((z * y) \ x) * (1 / x). [hyper(227,a,3685,a(flip),b,9195,a)]. 9203 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(227,a,1801,a,b,9201,a(flip)),flip(a)]. 9204 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(3398,a,9203,a)]. 9205 T(x,x \ L(x,y,z)) = x. [hyper(269,a,9204,a)]. 9206 L(x,y,z) / x = x \ L(x,y,z). [hyper(85,a,9204,a)]. 9207 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(18,a,684,a,b,9204,a)]. 9208 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(1042(a,1),9205(a,1,2,2))]. 9209 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(1298,a,9206,a)]. 9210 (x \ L(x,y,z)) * x != u | L(x,y,z) = u. [para(9206(a,1),207(a,1,1)),flip(b)]. 9211 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [para(963(a,1),9208(a,1,2,2,1))]. 9212 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(9208(a,1),4934(a,1,2))]. 9213 1 / (L(x,y,z) \ x) = x \ L(x,y,z). [hyper(577,a,9209,a)]. 9214 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [para(9209(a,1),250(a,1,1))]. 9215 T(x,L(y,z,u) \ y) / (L(y,z,u) \ y) = (y \ L(y,z,u)) * x. [para(9213(a,1),631(a,2,1))]. 9216 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(227,a,8950,a(flip),b,9214,a)]. 9217 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [para(9214(a,1),1908(a,1,2)),flip(a)]. 9218 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(9211(a,1),163(a,1,2))]. 9219 R(x,y,(1 / z) \ (u \ 1)) = R(x,y,(z \ 1) \ (1 / u)). [para(123(a,1),9106(a,1,3))]. 9220 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(9136(a,1),8266(a,1,1))]. 9221 K(x * (y * (1 / z)),u) = K(x / (z / y),u). [hyper(227,a,5883,a(flip),b,9220,a)]. 9222 K(x * ((y \ z) * (1 / z)),u) = K(x / y,u). [para(62(a,1),9221(a,2,1,2))]. 9223 K(x * ((y \ 1) * z),u) = K(x / (z \ y),u). [para(2115(a,1),9222(a,1,1,2))]. 9224 K(x / (y \ (1 / z)),u) = K(x * (z * y),u). [para(65(a,1),9223(a,1,1,2,1)),flip(a)]. 9225 K((x \ (1 / y)) / z,u) = K(z * (y * x),u \ 1). [hyper(6315,a,9224,a)]. 9226 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(2267(a,1),9141(a,1,1)),flip(a)]. 9227 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5008(a,1),9226(a,1,2)),flip(a)]. 9228 ((1 / x) \ (1 / y)) * K(z * u,(z * u) \ 1) = x / ((1 / (y * (z * u))) \ (u \ (z \ 1))). [hyper(227,a,760,a,b,9156,a)]. 9229 (L(x,y * (1 / (z * y)),y * (1 / (z * y))) * (u / (y * (1 / (z * y))))) / K(y,y \ 1) = ((y * (1 / (z * y))) * (((y * (1 / (z * y))) / u) / x)) \ (1 / z). [hyper(73,a,1891,a(flip),b,9156,a)]. 9230 (x \ (1 / y)) * K(z * u,u \ (z \ 1)) = x \ ((z * u) * (1 / (y * (z * u)))). [para(123(a,1),9156(a,1,2,2))]. 9231 (1 / (K(x,x \ 1) / (y \ (1 / z)))) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(9156(a,1),5557(a,2,2,2))]. 9232 (x \ 1) * (y * K(z,z \ 1)) != u * y | (x \ z) * (1 / z) = u. [para(9166(a,2),20(a,1))]. 9233 K(x,x \ 1) * (y * ((1 / z) * u)) = y * (x * (1 / ((u \ z) * x))). [para(313(a,1),9167(a,1,2,2))]. 9234 ((x / y) \ z) * (1 / z) = y * ((x \ z) * (1 / z)). [hyper(227,a,3686,a(flip),b,9178,a(flip)),flip(a)]. 9235 (((x / y) / z) \ x) * (1 / x) = z * (y * (1 / x)). [para(65(a,1),9234(a,2,2,1))]. 9236 (x * ((y \ z) * (1 / z))) \ 1 = (1 / z) \ (((y / x) \ z) \ 1). [para(9234(a,1),123(a,1,1))]. 9237 (x \ 1) * (((y \ 1) \ z) * (1 / z)) = ((y \ x) \ z) * (1 / z). [para(253(a,1),9234(a,1,1,1)),flip(a)]. 9238 (x \ ((x * y) * z)) * (1 / x) = y * (z * (1 / x)). [para(1883(a,1),9235(a,1,1))]. 9239 (x * (y * (1 / z))) / (1 / z) = z \ ((z * x) * y). [hyper(85,a,9238,a)]. 9240 (1 / x) \ (y * (z * (1 / x))) = ((x * y) * z) * (x \ 1). [hyper(72,a,9238,a(flip),b,1554,a)]. 9242 (1 / x) / (y \ (z \ (1 / x))) = x \ ((x * z) * y). [hyper(227,a,1175,a(flip),b,9239,a(flip)),flip(a)]. 9243 x \ ((x * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). [para(1318(a,1),9239(a,1,1,2)),flip(a)]. 9244 1 / ((x \ (y \ (1 / z))) * z) = z \ ((z * y) * x). [hyper(349,a,9242,a)]. 9245 1 / ((x \ (y \ (1 / (z \ 1)))) * (z \ 1)) = (z * z) * (z \ (((z \ 1) * y) * x)). [hyper(227,a,3343,a,b,9244,a)]. 9246 (x \ ((x * y) * z)) \ 1 = (z \ (y \ (1 / x))) * x. [para(9244(a,1),65(a,1,1))]. 9247 (x \ ((x * (1 / y)) * z)) \ 1 = (z \ (y / x)) * x. [para(339(a,1),9246(a,2,1,2))]. 9248 (x \ ((x * ((y \ 1) \ 1)) * (1 / z))) \ 1 = (z / (((1 / x) \ 1) * y)) * x. [para(1127(a,1),9246(a,2,1))]. 9249 (x \ 1) * ((y * (x \ 1)) \ z) = (y \ (z / x)) * x. [hyper(227,a,3221,a(flip),b,9247,a(flip)),flip(a)]. 9250 ((x \ ((x * (1 / y)) * z)) / u) \ 1 = u * ((z \ (y / x)) * x). [para(9247(a,1),125(a,2,2))]. 9251 (x * (y \ (z / x))) * x = (y * (x \ 1)) \ z. [hyper(2002,a,9249,a)]. 9252 ((x \ 1) \ (y / (z \ 1))) * (z \ 1) = ((z \ 1) \ 1) * (((z \ x) \ 1) \ y). [para(257(a,1),9249(a,1,2,1)),flip(a)]. 9253 ((((x \ 1) * y) \ (x \ 1)) \ (z / x)) * x = (x \ 1) * ((y \ (x \ 1)) \ z). [para(950(a,1),9249(a,1,2,1)),flip(a)]. 9254 x / ((y \ (x / z)) * z) = R(y,z \ 1,x). [para(9249(a,1),1332(a,2,2)),flip(a)]. 9255 ((x \ 1) \ K(y,z)) \ ((x * (K(z,y) \ (u / x))) * x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). [hyper(72,a,9251,a,b,5284,a)]. 9256 (x * (y \ 1)) \ (z * y) = (y * (x \ z)) * y. [para(15(a,1),9251(a,1,1,2,2)),flip(a)]. 9258 (x * (y / z)) / (1 / z) = ((z * (1 / y)) / x) \ z. [hyper(227,a,1890,a(flip),b,9243,a(flip))]. 9259 ((x * (1 / y)) / (z * (1 / y))) \ x = R(z,1 / y,y / x). [hyper(1165,a,9258,a),flip(a)]. 9260 ((x * (1 / y)) / L(z,x,x)) \ x = (x \ ((x / y) / z)) \ 1. [hyper(227,a,1893,a(flip),b,9258,a(flip))]. 9261 ((((x * (1 / y)) / z) \ x) \ u) * (1 / u) = (1 / x) * (((z * (y / x)) \ u) * (1 / u)). [para(9258(a,1),9234(a,1,1,1))]. 9262 x / ((y \ z) * (1 / z)) = (z * (1 / (x * z))) \ y. [hyper(227,a,5618,a(flip),b,9186,a(flip))]. 9263 (1 / x) * ((y / x) \ ((z \ u) * (1 / u))) = (((u * (1 / (x * u))) \ z) * y) \ x. [para(9262(a,1),1523(a,2,1,1))]. 9264 L(x,(y * (1 / (1 * y))) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). [para(9262(a,1),3767(a,1,2))]. 9265 (1 / x) \ (y * (1 / (z * y))) = K(y,y \ 1) * (x / z). [para(339(a,1),9187(a,1,2)),flip(a)]. 9266 ((x \ y) * (1 / y)) / z = x \ (y * (1 / (z * y))). [hyper(227,a,9187,a(flip),b,9197,a(flip))]. 9267 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (1 / (((x \ (y \ (z \ 1))) * z) * z))). [hyper(2118,a,9266,a)]. 9268 (x * y) \ (x * (1 / (z * x))) = (y \ (1 / x)) / z. [para(1003(a,1),9266(a,1,1)),flip(a)]. 9269 (x \ y) \ (x * (1 / (z * x))) = ((y \ 1) * x) / z. [para(2115(a,1),9266(a,1,1)),flip(a)]. 9270 K(x,y) \ (y * (1 / (z * y))) = K(y * x,y \ 1) / z. [para(5606(a,1),9266(a,1,1)),flip(a)]. 9271 ((x \ 1) * y) / (z \ y) = (y \ x) \ ((y \ 1) * z). [para(3356(a,1),9269(a,1,2)),flip(a)]. 9272 (x \ (1 / y)) \ ((x \ 1) * z) = (y * x) / (z \ x). [para(65(a,1),9271(a,1,1,1)),flip(a)]. 9273 ((1 / x) \ (1 / y)) \ (((1 / x) \ 1) * (1 / z)) = (y * (1 / x)) / (z / x). [para(339(a,1),9272(a,2,2))]. 9274 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(291,a,9217,a),flip(a)]. 9276 1 / (x * L(x,y,z)) = x \ (L(x,y,z) \ 1). [hyper(72,a,9274,a(flip),b,4487,a(flip)),flip(a)]. 9277 (x \ (L(x,y,z) \ 1)) \ 1 = x * L(x,y,z). [para(9276(a,1),65(a,1,1))]. 9278 (x \ 1) \ L(x,y,z) = x * L(x,y,z). [hyper(227,a,4494,a(flip),b,9277,a(flip)),flip(a)]. 9279 ((x * y) \ x) \ L(L(y,x,x),z,u) = L(y,x,x) * L(L(y,x,x),z,u). [para(1025(a,1),9278(a,1,1))]. 9280 T(((x * y) * z) * (x \ 1),x) = (y * (z * (1 / x))) * x. [para(9240(a,1),621(a,1,1))]. 9281 (x \ 1) \ (((x * y) * z) * (x \ 1)) = x * (x * (y * (z * (1 / x)))). [para(9240(a,1),3377(a,1,2))]. 9282 K(x,x \ 1) * (T(y,K(x,x \ 1) * z) / z) = (x * (1 / (z * x))) * y. [hyper(227,a,3673,a(flip),b,9265,a(flip))]. 9283 K(x * y,x \ 1) / z = T(x,y) * (1 / (z * x)). [hyper(6440,a,9270,a),flip(a)]. 9284 T(x,x \ y) * (1 / (z * x)) = K(y,x \ 1) / z. [para(14(a,1),9283(a,1,1,1)),flip(a)]. 9285 (T(x,y) * (1 / ((z * u) * x))) \ (K(x * y,x \ 1) / u) = R(z,u,K(x * y,x \ 1) \ 1). [para(9283(a,1),1834(a,1,1))]. 9286 (x * (y * (1 / z))) * z = (1 / z) * ((z * x) * y). [hyper(1415,a,9280,a),flip(a)]. 9287 T(((1 / x) \ y) * (x \ T(y,x \ 1)),x) = (1 / x) * ((x * y) * y). [hyper(227,a,4081,a,b,9286,a(flip)),flip(a)]. 9288 x * ((1 / x) * ((x * y) * z)) = ((1 / x) \ y) * L(z,x,x). [para(9286(a,1),1383(a,1,2))]. 9289 (1 / (x * y)) * (((x * y) * y) * y) = (1 / (x / y)) * (x * y). [para(3416(a,1),9286(a,1,1)),flip(a)]. 9290 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(9116(a,1),20(a,1))]. 9291 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),9196(a,1,2,2)),flip(a)]. 9292 R(x,1 / y,(1 / y) \ (z \ 1)) = R(x,1 / y,y / z). [hyper(227,a,1837,a(flip),b,9259,a(flip)),flip(a)]. 9293 R(x,1 / y,(y \ 1) \ (1 / z)) = R(x,1 / y,y / z). [hyper(227,a,9219,a(flip),b,9292,a(flip)),flip(a)]. 9294 ((x * (1 / y)) / L(z,x,x)) \ x = (1 / x) * ((x * z) * y). [hyper(227,a,2247,a(flip),b,9260,a)]. 9295 ((1 / x) \ y) * L(z,x,x) = (((x / z) / y) / x) \ x. [hyper(2248,a,9288,a),flip(a)]. 9296 (((T(x,x \ 1) / y) / z) / T(x,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,T(x,x \ 1),T(x,x \ 1)). [para(190(a,1),9295(a,1,1,1)),flip(a)]. 9297 (L(x,y,y) / y) * (y * z) = (1 / y) * ((y * x) * z). [hyper(1696,a,9294,a)]. 9298 (x * (1 / y)) * (y * z) = (1 / y) * ((y * x) * z). [para(1381(a,1),9297(a,1,1))]. 9299 (1 / x) \ L(((y * (1 / x)) \ 1) \ (x * z),y * (1 / x),y * (1 / x)) = (x * y) * z. [hyper(72,a,1387,a,b,9298,a(flip))]. 9300 (1 / (x \ 1)) * (((x \ 1) * y) * L(z,x,x)) = (y * (1 / (x \ 1))) * (x \ z). [para(1349(a,1),9298(a,1,2)),flip(a)]. 9301 (1 / x) * ((x * (((x \ 1) \ 1) \ y)) * z) = (x \ (y / x)) * (x * z). [para(3481(a,1),9298(a,1,1)),flip(a)]. 9302 K(x \ y,y \ x) / (z \ u) = (K(x \ y,y \ x) / u) * z. [hyper(18,a,1173,a,b,9076,a),flip(a)]. 9303 (K(x \ y,y \ x) / (z * u)) * z = K(x \ y,y \ x) / u. [hyper(18,a,1176,a(flip),b,9076,a)]. 9304 x * K(y \ z,z \ y) != u * (w * K(y \ z,z \ y)) | u * w = x. [para(9076(a,1),20(a,1)),flip(a)]. 9305 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(73,a,9084,a(flip),b,109,a)]. 9306 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(4624,a,9085,a),flip(a)]. 9307 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(4668(a,2),9107(a,1,2))]. 9308 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),9138(a,2,1))]. 9309 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(825,a,9171,a),flip(a)]. 9311 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y,y \ 1). [para(5378(a,1),9182(a,2,2))]. 9312 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5186(a,1),9227(a,1,2)),flip(a)]. 9313 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(2768(a,1),9312(a,2,2))]. 9314 ((x \ y) * (1 / y)) \ (z \ 1) = (1 / y) \ (((x / z) \ y) \ 1). [hyper(311,a,9236,a)]. 9315 (x \ 1) * (y * (((y \ z) \ 1) \ 1)) = ((z \ x) \ y) * (1 / y). [para(2119(a,1),9237(a,1,2))]. 9316 (L(1 / x,y,y) * (z / y)) \ 1 = y * ((z \ (x / y)) * y). [para(1614(a,1),9250(a,1,1))]. 9317 ((x \ (x / y)) * (z / x)) \ 1 = x * ((z \ (y / x)) * x). [para(1371(a,1),9316(a,1,1,1))]. 9318 (x / y) \ ((y \ (y / z)) \ 1) = y * ((x \ (z / y)) * y). [hyper(311,a,9317,a)]. 9319 x * ((y \ (z / x)) * x) = (y / x) \ L(z,x,x). [para(1031(a,1),9318(a,1,2)),flip(a)]. 9320 (K(x \ y,y \ x) / z) / u = K(x \ y,y \ x) / (u * z). [hyper(85,a,9303,a)]. 9321 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3121(a,1),9307(a,1,2,1))]. 9322 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(227,a,4442,a(flip),b,9321,a(flip)),flip(a)]. 9324 ((x * y) \ z) * K(x,x \ 1) = T(y * x,x \ 1) \ z. [para(3621(a,1),9311(a,1,1)),flip(a)]. 9325 K(x,x \ 1) * (y / ((x * z) \ u)) = y / (T(z * x,x \ 1) \ u). [para(9324(a,1),9140(a,1,2)),flip(a)]. 9326 ((x \ y) * (1 / y)) \ (z \ 1) = y * (((y \ (x / z)) \ 1) \ 1). [hyper(227,a,3825,a(flip),b,9314,a)]. 9327 ((x \ (1 / y)) \ z) * (1 / z) = y * (z * (((z \ x) \ 1) \ 1)). [hyper(615,a,9315,a),flip(a)]. 9328 (((x \ 1) \ y) \ z) * (1 / z) = (y \ 1) * (z * (1 / (x * z))). [para(1062(a,1),9315(a,1,2,2)),flip(a)]. 9329 (x * y) * (1 / ((z * u) * (x * y))) = (K(y \ x,x \ y) / u) / z. [hyper(227,a,8392,a,b,9320,a),flip(a)]. 9330 (K(x \ y,y \ x) / (z * u)) * z != w * v5 | w \ (K(x \ y,y \ x) / u) = v5. [para(9320(a,1),278(a,1,1))]. 9331 x * (((x \ (y / (1 / z))) \ 1) \ 1) = ((y \ x) * (1 / x)) \ z. [para(65(a,1),9326(a,1,2)),flip(a)]. 9332 (((1 / ((x \ (1 / y)) * (1 / z))) \ z) \ 1) \ (1 / u) = (y * (z * (((z \ x) \ 1) \ 1))) \ (1 / u). [para(9327(a,1),3944(a,2,1))]. 9333 ((x \ 1) \ y) \ K(z,z \ 1) = (y \ 1) * (z * (1 / (x * z))). [hyper(3689,a,9328,a)]. 9334 ((x \ 1) \ y) * K(z,z \ 1) = ((x \ z) * (1 / z)) \ y. [hyper(3963,a,9331,a)]. 9335 (((1 / x) \ y) * (1 / y)) \ z = (x \ z) * K(y,y \ 1). [para(65(a,1),9334(a,1,1,1)),flip(a)]. 9336 ((x \ (y \ 1)) \ z) * K(u,u \ 1) = (((y * x) \ u) * (1 / u)) \ z. [para(123(a,1),9334(a,1,1,1))]. 9337 ((x \ 1) \ y) * (K(z,z \ 1) * u) = (((x \ z) * (1 / z)) \ y) * u. [para(9334(a,1),9154(a,1,1)),flip(a)]. 9338 (((1 / x) \ (y / z)) * (1 / (y / z))) \ u = (x \ u) * K(z \ y,y \ z). [para(4269(a,1),9335(a,2,2))]. 9339 T(x,y * x) * (1 / x) = x * (((T(x,y \ 1) \ 1) \ 1) \ 1). [para(5343(a,1),6613(a,1,1))]. 9340 T(x,y * x) * (1 / x) = x * (1 / T(x,y \ 1)). [para(1057(a,1),9339(a,2,2))]. 9341 T(x,x * y) * (1 / x) = x * (1 / T(x,y \ 1)). [para(2461(a,1),9340(a,1,1))]. 9342 K(x * (x * y),x \ 1) = x * (1 / T(x,y \ 1)). [hyper(5610,a,9341,a)]. 9343 K(x * (x * y),x \ 1) = K(x,(y \ 1) \ (x \ 1)). [hyper(227,a,5546,a,b,9342,a)]. 9344 K(x * (x * y),x \ 1) = K(x,x \ y). [hyper(227,a,5189,a(flip),b,9343,a)]. 9345 (x * (x * y)) / ((x * (x * y)) * x) = K(x,x \ y) / x. [hyper(73,a,9344,a(flip),b,5372,a),flip(a)]. 9346 K(x,x \ y) / x = x \ K(x,x * y). [hyper(6838,a,9345,a),flip(a)]. 9347 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(8024(a,1),6695(a,1))]. 9348 (x \ y) * (T(T((1 / x) * y,y),x) \ z) = (y / x) * (T(x \ y,x) \ z). [para(1339(a,1),6797(a,1,2,1,1))]. 9349 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(227,a,6449,a(flip),b,6846,a(flip))]. 9352 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,9349,a)]. 9354 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),9352(a,1,2,1))]. 9355 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(408,a,9354,a),flip(a)]. 9356 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,9354,a)]. 9359 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(156(a,2),9356(a,1,1,2))]. 9360 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(227,a,8984,a(flip),b,9359,a(flip)),flip(a)]. 9361 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(555,a,9355,a)]. 9363 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9360(a,1),3273(a,1,1))]. 9364 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(227,a,9212,a(flip),b,9361,a(flip))]. 9365 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(9361(a,1),65(a,1,1))]. 9366 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7074(a,1),7082(a,1,2,2)),flip(a)]. 9367 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(227,a,5363,a(flip),b,9366,a)]. 9369 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(227,a,5364,a(flip),b,9367,a(flip))]. 9370 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(4944(a,1),7115(a,1,2)),flip(a)]. 9371 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(227,a,3521,a(flip),b,7228,a)]. 9372 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(227,a,4965,a(flip),b,7259,a)]. 9373 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(6508(a,1),9372(a,1,1))]. 9374 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(354(a,1),9373(a,1,1,1,1))]. 9375 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(6718(a,1),9374(a,1,1)),flip(a)]. 9376 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(115(a,1),9375(a,1,1,2)),flip(a)]. 9377 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(464,a,7340,a)]. 9378 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(227,a,8995,a(flip),b,7377,a(flip)),flip(a)]. 9379 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(227,a,9046,a(flip),b,9378,a),flip(a)]. 9380 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(227,a,6035,a(flip),b,9379,a(flip))]. 9381 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(227,a,7601,a(flip),b,7621,a(flip)),flip(a)]. 9382 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(227,a,6041,a(flip),b,9381,a)]. 9384 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(227,a,8377,a(flip),b,9382,a)]. 9385 (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(1 / (x * y),x * y). [para(325(a,1),7781(a,2,2,1))]. 9386 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7836(a,1),6674(a,1))]. 9388 (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). [hyper(227,a,6750,a(flip),b,7929,a)]. 9389 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(227,a,7932,a(flip),b,9388,a(flip)),flip(a)]. 9390 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(7813,a,9389,a),flip(a)]. 9391 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(227,a,8917,a(flip),b,9390,a(flip)),flip(a)]. 9392 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(7532(a,1),9391(a,1,1))]. 9393 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7953(a,1),5316(a,1))]. 9394 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(7980(a,1),7975(a,1,1))]. 9395 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(8014(a,1),7975(a,1,1))]. 9396 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(7291(a,2),8103(a,1,1,2))]. 9397 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(1938(a,1),8124(a,1,1))]. 9398 (x * (y * (z \ (y / z)))) * K(y / z,z) = x * ((y / z) * (z \ y)). [para(926(a,1),8176(a,1,1,2))]. 9399 L(x,(1 / y) * z,(1 / y) * z) = T(T(x,z \ y),y \ z). [hyper(1322,a,8236,a)]. 9400 L(x,(1 / y) * z,(1 / y) * z) = T(T(x,y \ z),z \ y). [hyper(227,a,38,a,b,9399,a)]. 9401 ((1 / x) * y) * ((y \ x) * z) = T(T(z,y \ x),x \ y). [hyper(227,a,1398,a(flip),b,9399,a(flip)),flip(a)]. 9402 L(x,(1 / y) * z,(1 / y) * z) = L(x,y \ z,y \ z). [hyper(227,a,6138,a(flip),b,9400,a)]. 9403 ((1 / x) * y) * ((y \ x) * z) = L(z,x \ y,x \ y). [hyper(227,a,1398,a(flip),b,9402,a(flip)),flip(a)]. 9404 (((1 / x) * y) * z) * ((z \ (y \ x)) * u) = L(u,(y \ x) \ z,(y \ x) \ z). [para(313(a,1),9403(a,1,1,1))]. 9405 x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). [para(5871(a,1),8397(a,1,2))]. 9406 x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. [para(9405(a,1),20(a,2))]. 9407 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(3078(a,2),8435(a,2,2))]. 9408 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(6496(a,1),8436(a,1,1)),flip(a)]. 9409 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(6884(a,1),8445(a,1,1))]. 9410 ((1 / x) * y) * T((1 / x) * y,z) = (x \ y) * T(x \ y,z). [hyper(227,a,9065,a(flip),b,8573,a)]. 9411 x / ((y * T((1 / z) * y,u)) \ z) = (1 / x) \ ((z \ y) * T(z \ y,u)). [para(9410(a,1),1726(a,1,2)),flip(a)]. 9412 K(x,x \ y) * (((y / x) * (y / x)) \ z) = ((y / x) * (x \ y)) \ z. [para(5085(a,1),8619(a,1,1))]. 9413 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7434(a,1),8625(a,1,1,1))]. 9414 (x \ K(y,z)) * (T(z,y) * T(z,y)) = (x \ z) * (u / (T(z,y) \ u)). [para(6084(a,2),8632(a,1,2))]. 9415 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5949(a,1),8750(a,1,1,1)),flip(a)]. 9416 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6095(a,1),9415(a,2,1))]. 9417 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(7740,a,8791,a)]. 9418 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(7638,a,9417,a),flip(a)]. 9419 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(7690,a,9418,a)]. 9420 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5347(a,2),9419(a,2,2))]. 9421 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(4266(a,1),8838(a,1,1,2))]. 9422 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(4659,a,9421,a),flip(a)]. 9423 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(114(a,2),9422(a,1,2,2))]. 9424 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(73,a,8018,a(flip),b,8973,a)]. 9425 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(227,a,6682,a(flip),b,8976,a)]. 9426 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9425(a,2,2))]. 9427 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(1962(a,2),9426(a,1,2,1)),flip(a)]. 9428 T((x \ y) \ z,z) / (x \ y) = (y \ x) * ((y \ x) * z). [hyper(227,a,6145,a(flip),b,9060,a)]. 9429 ((x \ y) \ z) / T(x \ y,z) = (y \ x) * ((y \ x) * z). [hyper(227,a,7762,a(flip),b,9428,a(flip)),flip(a)]. 9430 ((1 / x) * y) * (((1 / x) * y) * z) = (x \ y) * ((x \ y) * z). [hyper(227,a,4149,a(flip),b,9428,a(flip)),flip(a)]. 9431 ((x \ 1) \ y) * (((x \ 1) \ y) * z) = (x * y) * ((x * y) * z). [hyper(227,a,4383,a(flip),b,9429,a(flip))]. 9432 ((x \ y) \ 1) * (((x \ y) \ 1) * z) = (y \ x) * ((y \ x) * z). [hyper(227,a,4389,a,b,9430,a(flip)),flip(a)]. 9433 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (y \ ((x \ 1) \ 1)) * ((y \ ((x \ 1) \ 1)) * z). [para(1600(a,2),9430(a,1,1))]. 9434 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (1 / (y * x)) * ((((x \ 1) \ 1) \ (1 / y)) * z). [para(1117(a,1),9431(a,1,1)),flip(a)]. 9435 ((((x \ y) \ y) \ 1) \ (1 / y)) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). [para(1600(a,1),9431(a,2,2,1))]. 9436 ((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * (((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * z) = (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z). [para(2175(a,1),9431(a,2,1))]. 9437 K((x \ (1 / y)) / z,T(u,y * x)) = K(z \ (x \ (1 / y)),u). [hyper(7758,a,9117,a)]. 9438 K(x * (y * z),T(u,y * z) \ 1) = K(x \ (z \ (1 / y)),u). [hyper(227,a,9225,a(flip),b,9437,a(flip)),flip(a)]. 9439 K(x * (y * z),T(u \ 1,y * z)) = K(x \ (z \ (1 / y)),u). [hyper(6746,a,9438,a)]. 9440 K(x \ (y \ (1 / z)),u) != w | K((z * y) * x,u \ 1) = w. [para(9439(a,1),8290(a,1))]. 9441 T(x,(((y \ 1) \ K(z,u)) \ (K(z,u) * y)) * w) = T(x,K(K(z,u),y) * w). [para(26(a,2),9165(a,2,2,1))]. 9442 (x * (1 / (y * x))) \ ((z \ 1) * u) = (1 / y) \ (((z \ x) * (1 / x)) * u). [hyper(17,a,5618,a,b,9189,a)]. 9443 (1 / x) * (K(y,y \ 1) * z) = y * (1 / ((z \ x) * y)). [hyper(17,a,9172,a(flip),b,9233,a(flip)),flip(a)]. 9444 (1 / x) * (y * (z * (1 / (u * z)))) = z * (1 / (((y * (1 / u)) \ x) * z)). [para(9167(a,1),9443(a,1,2))]. 9445 x * (x * (y * (z * (1 / x)))) = T((x * y) * z,x \ 1). [hyper(283,a,9281,a),flip(a)]. 9446 (1 / x) * ((K(x,x \ 1) * y) * z) = (x \ (y / x)) * (x * z). [para(3662(a,1),9301(a,1,2,1))]. 9447 (1 / x) * (K(x,x \ 1) * (y * z)) = (x \ (y / x)) * (x * z). [para(4558(a,1),9446(a,1,2))]. 9448 (K(x,x \ 1) / x) * (y * z) = (x \ (y / x)) * (x * z). [hyper(227,a,5775,a(flip),b,9447,a(flip)),flip(a)]. 9449 (x \ K(x,x * 1)) * (y * z) = (x \ (y / x)) * (x * z). [para(9346(a,1),9448(a,1,1))]. 9450 (x \ K(x,x)) * (y * z) = (x \ (y / x)) * (x * z). [para(12(a,1),9449(a,1,1,2,2))]. 9451 (x \ (y / x)) * (x * z) = (x \ 1) * (y * z). [para(128(a,1),9450(a,1,1,2)),flip(a)]. 9453 L(x,y,y \ (z / y)) = ((y \ 1) * z) \ ((y \ 1) * (z * x)). [para(9451(a,1),2000(a,1,2)),flip(a)]. 9454 L(x,y,y \ (z / y)) != u | L(x,z,y \ 1) = u. [para(9453(a,2),474(a,1))]. 9455 L(x,y,z * (y \ 1)) != u | L(x,y * z,y \ 1) = u. [para(1258(a,1),9454(a,1,3))]. 9456 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4954(a,2),9313(a,1,2)),flip(a)]. 9457 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(227,a,5019,a(flip),b,9456,a)]. 9458 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3931(a,1),9457(a,1,2))]. 9459 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(9458(a,1),65(a,1,1))]. 9460 (((x * y) * ((1 / (x * y)) * 1)) \ z) * K(u,u \ 1) = ((((y \ (x \ 1)) * (x * y)) \ u) * (1 / u)) \ z. [para(3374(a,1),9336(a,1,1,1))]. 9461 ((x \ y) * (1 / y)) \ 1 = ((x \ 1) \ y) * (1 / y). [hyper(9232,a,9337,a),flip(a)]. 9462 ((x \ 1) \ y) * (z * K(u,u \ 1)) = (((x \ u) * (1 / u)) \ y) * z. [para(3087(a,1),9337(a,1,2))]. 9463 (((x \ y) * (1 / y)) \ z) * ((1 / u) * w) = ((x \ 1) \ z) * (K(y,y \ 1) / (w \ u)). [para(6534(a,1),9337(a,1,2)),flip(a)]. 9464 (((x \ 1) \ y) * (1 / y)) \ ((1 / ((x \ y) * (1 / y))) \ z) = ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z). [para(9461(a,1),3377(a,1,1))]. 9465 (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(x * y,(x * y) \ 1). [para(5382(a,1),9385(a,2,2))]. 9466 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(227,a,8073,a(flip),b,9396,a(flip))]. 9468 (x * (y * (z \ (y / z)))) * K(z \ y,z) = x * ((y / z) * (z \ y)). [para(5088(a,1),9398(a,1,2))]. 9469 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(227,a,3074,a(flip),b,9409,a)]. 9470 K(x,x \ y) * ((y * (x \ (y / x))) \ z) = ((y / x) * (x \ y)) \ z. [para(926(a,1),9412(a,1,2,1))]. 9471 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(7889(a,1),9413(a,1,1))]. 9472 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7434(a,1),9471(a,2,1))]. 9473 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7428(a,1),9472(a,2,2))]. 9474 (x \ K(y,z)) * ((T(z,y) \ 1) \ T(z,y)) = (x \ z) * (u / (T(z,y) \ u)). [para(705(a,2),9414(a,1,2))]. 9475 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(227,a,8360,a(flip),b,9423,a(flip))]. 9476 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(7750,a,9475,a),flip(a)]. 9477 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(227,a,8190,a,b,9476,a(flip)),flip(a)]. 9478 K((x \ 1) \ y,((x \ 1) \ y) \ 1) * K(z,z \ 1) = (((x \ z) * (1 / z)) \ y) * (1 / ((x \ 1) \ y)). [hyper(227,a,6549,a,b,9462,a(flip)),flip(a)]. 9479 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = (((y \ z) * (1 / z)) \ (x \ 1)) * (x * (y \ 1)). [hyper(227,a,3367,a(flip),b,9462,a(flip)),flip(a)]. 9480 (x \ (1 / y)) * (1 / (x \ (1 / y))) = 1 * K(x * y,y \ (x \ 1)). [para(123(a,1),9465(a,2,2,2))]. 9481 K(x,y) * L(K(z,x),u,w) != v5 | L(K(x,z),u,w) \ K(x,y) = v5. [para(9469(a,1),4588(a,1))]. 9482 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [para(6888(a,1),9469(a,1,1))]. 9483 (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = K(y * x,x \ (y \ 1)). [hyper(70,a,4106,a,b,9480,a(flip)),flip(a)]. 9484 (x * ((y \ 1) \ 1)) \ (((x \ 1) \ 1) * y) = K(x \ y,y \ x). [hyper(227,a,8370,a(flip),b,9483,a)]. 9485 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(6932(a,1),5797(a,1,1,2))]. 9486 K(a(x,y,z),(y * z) \ (x \ 1)) = K(x * (y * z),(x * y) * z). [hyper(7754,a,5972,a),flip(a)]. 9487 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7343(a,1),6081(a,1,2))]. 9488 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9487(a,1),825(a,1))]. 9489 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6203(a,2),6815(a,1))]. 9490 K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. [para(7271(a,1),9489(a,1))]. 9491 K((x * y) \ z,y) != u | K((y * x) \ z,y) = u. [para(7362(a,2),9490(a,1))]. 9492 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5091(a,1),6269(a,1,2))]. 9493 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7241(a,1),9492(a,1,2))]. 9494 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(227,a,8907,a(flip),b,9493,a)]. 9495 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(7242(a,1),9494(a,1,2))]. 9496 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(9495(a,1),8933(a,1))]. 9497 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(6289,a,8166,a(flip)),flip(a)]. 9498 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(227,a,9377,a(flip),b,9497,a(flip))]. 9500 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9498(a,1,2,2)),flip(a)]. 9501 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7258(a,1),9498(a,1,2))]. 9502 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),9501(a,1,2,2,2))]. 9503 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7126(a,1),9501(a,1,2))]. 9504 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(7190,a,9503,a),flip(a)]. 9505 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(9503(a,1),7190(a,1))]. 9506 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(8305,a,9504,a)]. 9507 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(14(a,1),9504(a,1,2,2))]. 9508 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7190,a,9502,a),flip(a)]. 9509 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),9508(a,1,2,2)),flip(a)]. 9510 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(227,a,7192,a(flip),b,9509,a(flip)),flip(a)]. 9511 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(227,a,8730,a(flip),b,9510,a(flip)),flip(a)]. 9512 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(227,a,8037,a(flip),b,9511,a(flip))]. 9513 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(6715,a,9512,a),flip(a)]. 9514 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(227,a,8227,a(flip),b,9513,a(flip)),flip(a)]. 9515 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(7021(a,2),9505(a,1))]. 9517 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7042(a,1),6308(a,1,1)),flip(a)]. 9518 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(6963(a,1),9517(a,2,2))]. 9520 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(227,a,6268,a(flip),b,9518,a)]. 9522 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(8919,a,9520,a)]. 9523 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(9488,a,9522,a)]. 9524 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9523(a,2),8919(a,1))]. 9525 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(6971(a,1),6941(a,1,1))]. 9527 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7072(a,1),9525(a,1,2)),flip(a)]. 9528 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(227,a,5793,a(flip),b,9527,a)]. 9530 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(6421(a,1),9528(a,1,2))]. 9531 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(227,a,8643,a,b,9530,a(flip)),flip(a)]. 9533 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(4647(a,2),7579(a,1,1))]. 9534 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(227,a,7407,a,b,7587,a),flip(a)]. 9535 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(7795(a,1),7856(a,1,1)),flip(a)]. 9536 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(6555(a,2),9535(a,2,1))]. 9538 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(5994(a,1),9536(a,1,2,2)),flip(a)]. 9539 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(227,a,9026,a(flip),b,9538,a(flip)),flip(a)]. 9540 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(227,a,4965,a(flip),b,7911,a)]. 9541 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9540(a,1,1,2,1))]. 9542 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),u \ (x * w)). [hyper(5230,a,7914,a),flip(a)]. 9543 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5224,a,7915,a),flip(a)]. 9545 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8114,a,8113,a)]. 9546 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9545(a,1),4996(a,2,2)),flip(a)]. 9547 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5001,a,9546,a),flip(a)]. 9548 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(227,a,8834,a(flip),b,9547,a(flip))]. 9549 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(227,a,8127,a(flip),b,9547,a(flip))]. 9550 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(62(a,1),9549(a,1,2,1,1)),flip(a)]. 9551 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(8842(a,2),8453(a,1))]. 9553 L(x,T(y,z),T(y,z)) * (z / T(y,z)) = L(x,y,y) * ((1 / y) * z). [hyper(227,a,2364,a(flip),b,8569,a(flip))]. 9554 L(x,y,y) * ((1 / y) * z) = L(x * (y \ z),y,y). [hyper(227,a,8578,a(flip),b,9553,a(flip))]. 9555 (x / y) \ L(x * (y \ z),y,y) = L(z,1 / y,L(x,y,y)). [para(9554(a,1),1324(a,1,2))]. 9556 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(227,a,7429,a(flip),b,8682,a)]. 9557 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6886(a,1),8835(a,1))]. 9558 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(6443(a,1),9557(a,1,1,2))]. 9560 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(8083(a,1),9557(a,1,1))]. 9562 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(6751(a,1),9030(a,1,1))]. 9563 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7518(a,1),9040(a,1,1)),flip(a)]. 9564 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9563(a,1),16(a,1,1))]. 9566 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9564(a,1,1,1,1))]. 9567 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(9080(a,1),9308(a,1,2,2))]. 9568 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(227,a,6914,a(flip),b,9394,a(flip))]. 9569 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(9568(a,1),6455(a,1,2,1)),flip(a)]. 9570 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(227,a,6516,a(flip),b,9482,a(flip)),flip(a)]. 9571 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6496(a,1),9570(a,1,2)),flip(a)]. 9572 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(8488(a,1),9571(a,1,2))]. 9573 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(9481,a,9572,a)]. 9574 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(3076,a,9572,a)]. 9575 a(x,y,K(z,u)) != K(z,u) * w | L(K(u,z),y,x) = w. [para(9572(a,1),19(a,1))]. 9576 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9572(a,1),5747(a,1,2)),flip(a)]. 9577 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7247(a,1),9572(a,1,2))]. 9579 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9572(a,1),9408(a,1,2))]. 9580 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [para(9573(a,1),14(a,1,2))]. 9581 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9573(a,1),84(a,1,2)),flip(b)]. 9582 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [para(9573(a,1),4484(a,1,1))]. 9583 K(x,y \ ((y * z) * x)) * a(u,z,K(x,x * z)) = K(x,x * z). [para(7808(a,1),9580(a,1,1))]. 9584 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(7240(a,1),9580(a,1,1))]. 9585 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9577(a,1),5854(a,2,2))]. 9586 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6512(a,1),9579(a,1,1)),flip(a)]. 9587 a(x,y,K(z,z * y)) = K(z,z * y) * K(u \ ((u * y) * z),z). [hyper(17,a,6489,a,b,9583,a)]. 9588 L(K(x * y,x),y,z) = K(u \ ((u * y) * x),x). [hyper(9575,a,9587,a)]. 9589 L(K(x * y,y),x,z) = K(u \ ((u * x) * y),y). [para(5301(a,2),9588(a,1,1))]. 9590 L(K(x * T(y,z),T(y,z)),x,u) = K(w \ (y * (w * x)),T(y,z)). [hyper(227,a,9466,a(flip),b,9589,a)]. 9591 L(K(x * y,T(y,z)),x,u) = K(w \ (y * (w * x)),T(y,z)). [para(7020(a,1),9590(a,1,1))]. 9593 L(K(x * y,T(x,z)),y,u) = K(w \ (x * (w * y)),T(x,z * y)). [para(9506(a,1),9591(a,1,1))]. 9594 L(K(x * y,T(x,z)),y,u) = K((z / (z * y)) \ x,x). [hyper(227,a,7779,a(flip),b,9593,a)]. 9595 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(7303,a,9594,a),flip(a)]. 9596 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(227,a,6154,a(flip),b,9595,a(flip)),flip(a)]. 9597 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(14(a,1),9595(a,1,1,1,2)),flip(a)]. 9598 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(14(a,1),9596(a,1,1,2,1)),flip(a)]. 9599 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(8305,a,9597,a)]. 9600 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(227,a,9507,a,b,9598,a(flip)),flip(a)]. 9601 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(227,a,9392,a,b,9599,a(flip)),flip(a)]. 9602 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(6490,a,9601,a)]. 9603 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(6833,a,9602,a)]. 9604 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(6137(a,2),9603(a,1,2))]. 9605 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(227,a,4860,a,b,9604,a(flip)),flip(a)]. 9606 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(8725,a,9533,a)]. 9607 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5471(a,1),9533(a,2,2))]. 9608 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9533(a,1),7432(a,2,2))]. 9609 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7466,a,9556,a)]. 9610 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(227,a,9003,a(flip),b,9562,a(flip))]. 9611 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9029(a,2),9610(a,1,1))]. 9612 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9611(a,1),5096(a,1))]. 9613 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(474,a,9567,a)]. 9614 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(227,a,3099,a,b,9613,a)]. 9615 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(3743(a,1),9614(a,1,1)),flip(a)]. 9616 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(6490,a,9615,a),flip(a)]. 9617 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(227,a,4214,a(flip),b,9615,a(flip)),flip(a)]. 9619 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(9617(a,1),61(a,1,2,1)),flip(a)]. 9620 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(61(a,1),9617(a,1,1,2,1)),flip(a)]. 9621 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(9620(a,1),100(a,1,2))]. 9622 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(480(a,1),9620(a,2,1,2))]. 9623 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(9616(a,2),9100(a,1,2))]. 9624 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(219(a,1),9621(a,1,2,1,2))]. 9625 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(72,a,9622,a(flip),b,183,a),flip(a)]. 9627 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(227,a,8840,a(flip),b,9625,a(flip)),flip(a)]. 9628 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(9625(a,1),8591(a,2,1)),flip(a)]. 9629 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(9627(a,1),16(a,1,1))]. 9630 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(9627(a,1),207(a,1,1)),flip(b)]. 9631 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(9627(a,1),6206(a,1,2))]. 9632 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(9627(a,1),8231(a,1,1,2))]. 9634 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6816,a,9631,a),flip(a)]. 9635 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(9634(a,1),7236(a,1,1))]. 9636 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(9489,a,9635,a),flip(a)]. 9637 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),9636(a,2,1,1))]. 9638 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(227,a,8970,a(flip),b,9637,a(flip))]. 9639 K(K(x \ y,x) * z,y) = K(z,y). [hyper(6161,a,9638,a),flip(a)]. 9642 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9639(a,1),4996(a,2,2)),flip(a)]. 9643 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(5966,a,9642,a),flip(a)]. 9644 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5087(a,1),9643(a,2,1))]. 9645 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5087(a,1),9644(a,1,1,1))]. 9646 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5660,a,9645,a),flip(a)]. 9647 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9646(a,2),172(a,1,2,2))]. 9648 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9646(a,2),471(a,2,2))]. 9649 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(9630,a,9628,a),flip(a)]. 9650 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(5890(a,1),9649(a,1,1,2))]. 9651 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8146(a,1),9649(a,1,1,2))]. 9652 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,9629,a(flip),b,9650,a)]. 9653 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [para(9652(a,1),7068(a,1,2)),flip(a)]. 9654 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(109(a,1),9653(a,1,2,2)),flip(a)]. 9655 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(9569(a,2),6464(a,1))]. 9656 x / (T(y,z) * (K(y,z) \ ((u * y) \ x))) = R(u,y,K(y,z) * x). [hyper(5800,a,2571,a),flip(a)]. 9657 R(x,y,K(y,z) * u) = u / (y * ((x * y) \ u)). [para(5784(a,1),9656(a,1,2)),flip(a)]. 9658 R(x,y,K(y,z) * u) = R(x,y,u). [hyper(227,a,1332,a,b,9657,a)]. 9659 R(x,y,K(y,z) * u) != w | R(x,y,u) = w. [para(9657(a,2),1333(a,1))]. 9661 R(x,y,T(z,y)) = R(x,y,z). [para(4970(a,1),9658(a,1,3)),flip(a)]. 9663 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(6230(a,1),9658(a,1,3))]. 9664 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(227,a,8648,a,b,9661,a(flip)),flip(a)]. 9665 R(x,y / z,z) = R(x,z \ y,z). [hyper(227,a,8969,a(flip),b,9661,a(flip)),flip(a)]. 9666 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(9661(a,1),503(a,1,1))]. 9668 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(227,a,8180,a(flip),b,9665,a(flip))]. 9669 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(227,a,7964,a(flip),b,9665,a(flip))]. 9670 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7945(a,1),9664(a,1,2))]. 9672 K(x,y) != z | R(K(x,y),y,u) = z. [para(5860(a,1),9659(a,1))]. 9673 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(73,a,87,a(flip),b,9666,a)]. 9674 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(6053(a,1),9673(a,1,1)),flip(a)]. 9675 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(8910(a,1),9674(a,1,1)),flip(a)]. 9676 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(6555(a,2),9670(a,1,2))]. 9677 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(5795(a,1),5831(a,1,2)),flip(a)]. 9678 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(227,a,28,a,b,9677,a)]. 9679 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(9677(a,2),474(a,1))]. 9680 L(x,y,T(z,z * y)) = L(x,y,z). [hyper(5781,a,9678,a)]. 9681 L(x,y,T(z,x)) = L(x,y,z). [hyper(227,a,6935,a(flip),b,9678,a(flip))]. 9682 L(x,y,T(x,z)) = L(x,y,x). [hyper(227,a,6930,a(flip),b,9678,a(flip))]. 9683 L(L(x,1 / y,L(z,y,y)),z / y,K(L(z,y,y),u)) = L(x,1 / y,T(L(z,y,y),u)). [para(1318(a,1),9678(a,1,2))]. 9684 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9682(a,1),40(a,2,1))]. 9686 L(x,y,T(z,y) \ 1) = L(x,y,z \ 1). [para(1566(a,1),9680(a,1,3))]. 9687 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(227,a,40,a,b,9684,a)]. 9688 L(x,y,(y / z) \ 1) = L(x,y,y \ z). [para(644(a,1),9686(a,1,3)),flip(a)]. 9689 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9687(a,1),8945(a,1,2,1))]. 9690 L(x,y,z * (y \ 1)) = L(x,y,y \ z). [para(125(a,1),9688(a,1,3))]. 9691 L(x,y * z,y \ 1) = L(x,y,y \ z). [hyper(9455,a,9690,a)]. 9692 L(x,y,z / (y * y)) = L(x,y,y \ (z / y)). [para(1503(a,1),9690(a,1,3))]. 9693 K(x,L(y,x,x \ z)) = K(x,y). [para(9691(a,1),7833(a,1,2))]. 9694 K(x,L(y,x,z)) = K(x,y). [para(13(a,1),9693(a,1,2,3))]. 9695 K(L(x,y,z),y) = K(x,y). [hyper(8609,a,9694,a)]. 9696 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(7926,a,9694,a)]. 9697 L(K(x,x \ y),y,z) = K(x,x \ y). [hyper(7796,a,9694,a)]. 9698 T(x,L(y,x,z)) = x * K(x,y). [para(9694(a,1),4996(a,2,2))]. 9699 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(7815,a,9695,a)]. 9700 K((x * y) \ z,y) = K(y \ (x \ z),y). [para(219(a,1),9695(a,1,1))]. 9702 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(489(a,1),9695(a,1,1))]. 9703 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(9695(a,1),8611(a,1,1))]. 9704 T(x,L(y,x,z)) = T(x,y). [hyper(227,a,4996,a,b,9698,a)]. 9706 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(227,a,8023,a(flip),b,9704,a(flip)),flip(a)]. 9708 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(489(a,1),9704(a,1,2))]. 9709 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(8159,a,9697,a)]. 9710 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(57(a,1),9696(a,1,2,2)),flip(a)]. 9712 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(62(a,1),9699(a,1,1,1))]. 9713 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(9491,a,9700,a)]. 9716 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(227,a,7323,a(flip),b,9712,a(flip))]. 9717 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(2393(a,1),9713(a,1,1,1)),flip(a)]. 9719 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(9128(a,1),9716(a,1,1,2,1))]. 9720 L(x,y,z / (y * y)) != u | L(x,z,y \ 1) = u. [para(9692(a,2),9454(a,1))]. 9721 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(227,a,8611,a(flip),b,9703,a(flip))]. 9722 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(9703(a,2),7304(a,1))]. 9723 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(1697(a,1),9721(a,1,1)),flip(a)]. 9725 K(L(x,y,z),L(y,u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(9703(a,1),9722(a,1))]. 9726 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(8963,a,9689,a),flip(a)]. 9728 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(227,a,6672,a(flip),b,9723,a)]. 9729 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(227,a,767,a(flip),b,9728,a)]. 9730 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(6791,a,9729,a)]. 9732 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5918(a,1),5955(a,1,2)),flip(a)]. 9733 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(227,a,30,a,b,9732,a)]. 9734 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(227,a,7722,a(flip),b,9733,a(flip))]. 9735 R(x,y,T(x,z)) = R(x,y,x). [hyper(227,a,7336,a(flip),b,9733,a(flip))]. 9737 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),9735(a,1,3))]. 9740 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(9734(a,2),6471(a,1,1))]. 9741 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6280,a,6020,a)]. 9743 T(x / (y * (z \ (y / z))),y / z) = ((1 / x) * (y * (z \ 1))) \ (z / y). [para(313(a,1),6134(a,2,1))]. 9744 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(7600(a,1),6211(a,2,1,2))]. 9745 ((1 / x) \ y) * (x \ (((1 / x) \ y) / x)) = ((x * y) * y) / x. [hyper(227,a,8212,a(flip),b,6232,a)]. 9746 ((1 / x) \ y) * (x \ T(y,x \ 1)) = ((x * y) * y) / x. [para(1535(a,1),9745(a,1,2,2))]. 9747 T(((x * y) * y) / x,x) = (1 / x) * ((x * y) * y). [para(9746(a,1),9287(a,1,1))]. 9748 (1 / x) * ((x * y) * y) = x \ ((x * y) * y). [hyper(408,a,9747,a),flip(a)]. 9749 (x * y) \ (((x * y) * y) * y) = (1 / (x / y)) * (x * y). [hyper(227,a,9289,a(flip),b,9748,a(flip))]. 9750 (1 / (x / y)) * (x * y) = (x / y) \ (x * y). [hyper(227,a,1886,a(flip),b,9749,a(flip))]. 9751 (x \ ((x / ((1 / x) / (1 / (x * y)))) / y)) \ 1 = (x / y) \ (x * y). [hyper(227,a,4301,a,b,9750,a(flip)),flip(a)]. 9752 (x \ ((x / (1 / ((1 / (x * y)) * x))) / y)) \ 1 = (x / y) \ (x * y). [para(325(a,1),9751(a,1,1,2,1,2))]. 9753 (x \ ((x / (1 / (1 / y))) / y)) \ 1 = (x / y) \ (x * y). [para(335(a,1),9752(a,1,1,2,1,2,2))]. 9755 (x \ (((1 / x) \ (y \ 1)) / y)) \ 1 = (x / y) \ (x * y). [para(1074(a,1),9753(a,1,1,2,1))]. 9756 (x \ ((y * (1 / x)) \ (1 / y))) \ 1 = (x / y) \ (x * y). [para(343(a,1),9755(a,1,1,2))]. 9757 (x \ ((x * (y \ 1)) * (y \ 1))) \ 1 = (x / y) \ (x * y). [para(5537(a,1),9756(a,1,1,2))]. 9758 ((x \ 1) * L(x \ 1,y,y)) \ 1 = (y / x) \ (y * x). [para(4168(a,1),9757(a,1,1))]. 9759 ((x \ 1) * ((y * x) \ y)) \ 1 = (y / x) \ (y * x). [para(1301(a,1),9758(a,1,1,2))]. 9760 (x \ (y \ (y / x))) \ 1 = (y / x) \ (y * x). [para(1778(a,1),9759(a,1,1))]. 9761 (x \ (x / y)) \ y = (x / y) \ (x * y). [hyper(9134,a,9760,a)]. 9762 ((x \ 1) \ y) * (y \ x) = (y / x) \ (y * x). [hyper(227,a,5699,a,b,9761,a(flip)),flip(a)]. 9763 (x * ((y \ x) \ 1)) * y = (x / y) \ (x * y). [hyper(227,a,5592,a,b,9761,a(flip)),flip(a)]. 9764 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5510(a,1),6356(a,1,1,2))]. 9765 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9764(a,2),7972(a,1,1))]. 9766 (K(x,y) * ((K(y,x) * z) / u)) * u != w | L(z,K(y,x),u * K(x,y)) = w. [para(6655(a,1),6521(a,1))]. 9767 (1 / x) * ((1 / x) * (1 * K(x,(x * y) \ 1))) = 1 / (T(x,y) / (1 / x)). [para(5378(a,1),6531(a,1,2,2,2))]. 9768 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(7572(a,1),6578(a,1,2,1,2))]. 9769 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7586(a,1),6648(a,1,1,2))]. 9770 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(9551,a,9769,a)]. 9771 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(6719(a,1),6720(a,2,1))]. 9772 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(227,a,6453,a(flip),b,9771,a)]. 9773 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,9772,a)]. 9774 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(6453(a,2),9773(a,1,2))]. 9775 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(5393,a,9774,a)]. 9776 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(9775(a,1),3810(a,1,1,2))]. 9777 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5092(a,1),6769(a,1,1))]. 9778 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7586(a,1),9777(a,1,2))]. 9779 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(9778(a,1),9770(a,1,2)),flip(a)]. 9780 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(9459(a,1),9779(a,2,2))]. 9781 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3904(a,1),6796(a,1,3))]. 9782 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(8297,a,6875,a)]. 9783 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(9212(a,1),7147(a,2,1))]. 9784 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7245(a,1),7249(a,1,1))]. 9785 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(5581(a,1),7353(a,1,2)),flip(a)]. 9786 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(3039,a,9785,a(flip)),flip(a)]. 9787 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(227,a,9407,a(flip),b,7861,a)]. 9788 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(227,a,7286,a(flip),b,8097,a)]. 9790 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(2325(a,1),8211(a,1,2)),flip(a)]. 9791 (x \ y) * (T(x \ T(y,x),y) \ z) = K(x,y) * (K(y,x \ y) * z). [para(5199(a,1),8220(a,1,1)),flip(a)]. 9792 (x \ y) * (T(x \ T(y,x),y) \ z) = K(x,y) * (K(x,y) * z). [para(5199(a,1),9791(a,2,2,1))]. 9793 (x \ y) * (T(x \ T(y,x),y) \ z) = y * (T(T(y,x),x) \ z). [hyper(227,a,8219,a(flip),b,9792,a)]. 9794 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(113(a,1),8230(a,1,1,2,2))]. 9795 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7262(a,1),8446(a,1,2)),flip(a)]. 9797 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5035(a,1),8580(a,1,1,2))]. 9798 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5165(a,1),9797(a,1,2,2))]. 9799 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(9704(a,1),9798(a,1,1,2)),flip(a)]. 9800 L(x,T(y,x),z) = L(x,y,z). [hyper(227,a,28,a,b,9799,a),flip(a)]. 9802 L(x,y / x,z) = L(x,x \ y,z). [para(115(a,1),9800(a,1,2)),flip(a)]. 9805 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(227,a,541,a(flip),b,9802,a(flip))]. 9806 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(9802(a,1),8152(a,1,1))]. 9807 (x / y) \ ((((y \ 1) \ 1) * (1 / x)) \ z) = L(z,y \ x,y \ x). [hyper(227,a,1031,a(flip),b,8624,a)]. 9808 (x / y) \ ((1 / (x / y)) \ z) = L(z,y \ x,y \ x). [para(1079(a,1),9807(a,1,2,1))]. 9809 L(x,y / z,y / z) = L(x,z \ y,z \ y). [hyper(1365,a,9808,a)]. 9810 L(x,y \ 1,y \ 1) = L(x,y,y). [hyper(1471,a,9809,a),flip(a)]. 9811 R(x,y / z,z * (y \ 1)) = L(x,y \ z,y \ z). [hyper(227,a,8058,a,b,9809,a(flip)),flip(a)]. 9812 (x / y) * ((y * (x \ 1)) * z) = L(z,y \ x,y \ x). [hyper(227,a,1397,a,b,9809,a(flip)),flip(a)]. 9813 L(x,y \ 1,y \ 1) != z | L(x,y,y) = z. [para(9809(a,1),1471(a,1))]. 9814 (x * (y \ 1)) * L(z,x \ y,x \ y) = (y / x) \ z. [para(9809(a,1),1359(a,1,2))]. 9815 (x / y) * L(z,x \ y,x \ y) = (1 / (x / y)) \ z. [para(9809(a,1),8215(a,1,2))]. 9816 (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)) = (x \ y) * L(L(L(y,x,x),x,x),z,u). [para(9810(a,1),4174(a,1,2,1)),flip(a)]. 9817 ((x \ y) \ 1) * L(L((x \ 1) \ 1,y,y),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [para(9810(a,1),4173(a,1,2,1))]. 9818 L(x,y \ (z \ 1),(z * y) \ 1) != u | L(x,z * y,z * y) = u. [para(123(a,1),9813(a,1,2))]. 9819 (x * (y / z)) * (z * (y \ 1)) = L(x,y \ z,y \ z). [hyper(2667,a,9811,a)]. 9820 (x * (y \ 1)) \ ((y / x) \ z) = L(z,x \ y,x \ y). [hyper(78,a,9814,a)]. 9822 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u / (1 / (y / z)),u / (1 / (y / z))). [para(9815(a,2),9809(a,2,2)),flip(a)]. 9823 (x * ((y / z) / u)) * (u * (z * (y \ 1))) = L(x,(y / z) \ u,(y / z) \ u). [para(125(a,1),9819(a,1,2,2))]. 9824 L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * ((y \ ((y * z) * u)) * (y \ 1)). [para(1882(a,1),9819(a,1,1,2)),flip(a)]. 9825 (x * (y \ 1)) * L(z,y \ x,y \ x) = (y / x) \ z. [para(9819(a,1),3301(a,1,2))]. 9826 (x * (y * (z \ 1))) \ (((z / y) / x) \ u) = L(u,x \ (z / y),x \ (z / y)). [para(125(a,1),9820(a,1,1,2))]. 9827 (x * ((1 / y) \ 1)) \ ((1 / (x * y)) \ z) = L(z,x \ (1 / y),x \ (1 / y)). [para(325(a,1),9820(a,1,2,1))]. 9828 L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (((z \ 1) \ 1) \ 1)) \ ((((z \ 1) \ 1) / y) \ x). [para(2175(a,2),9820(a,2,2)),flip(a)]. 9829 L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = ((y * (z \ u)) * (K(u,z) \ 1)) \ (((z / u) / y) \ x). [para(8852(a,1),9820(a,1,2,1)),flip(a)]. 9830 L(x,y \ z,y \ z) = L(x,z \ y,z \ y). [hyper(17,a,9814,a,b,9825,a)]. 9831 L(x,y \ (z \ 1),y \ (z \ 1)) != u | L(x,z * y,z * y) = u. [para(123(a,1),9818(a,1,3))]. 9832 L(x,(y \ z) \ (z \ 1),(z \ y) * (1 / z)) != u | L(x,z * (y \ z),z * (y \ z)) = u. [para(4584(a,1),9818(a,1))]. 9833 L(x,(y \ 1) \ z,(y \ 1) \ z) = L(x,y * z,y * z). [hyper(9831,a,9830,a),flip(a)]. 9834 L(x,y \ (z \ 1),y \ (z \ 1)) = L(x,z * y,z * y). [hyper(9831,a,xx),flip(a)]. 9835 L(x,(y \ 1) \ z,(y \ 1) \ z) != u | L(x,y * z,y * z) = u. [para(9830(a,1),9831(a,1))]. 9836 (((x \ 1) \ y) * z) \ ((x \ 1) \ y) = L(z \ 1,x * y,x * y). [hyper(1303,a,9833,a)]. 9837 L(x,y \ (z \ 1),y \ (z \ 1)) = (x * (z * y)) * (y \ (z \ 1)). [hyper(227,a,1032,a,b,9834,a)]. 9838 L(x,y \ (z \ (u \ 1)),y \ ((u * z) \ 1)) = L(x,(u * z) * y,(u * z) * y). [para(123(a,1),9834(a,1,2,2))]. 9839 L(x,y \ K(z,u),y \ (K(u,z) \ 1)) = L(x,K(u,z) * y,K(u,z) * y). [para(5084(a,1),9834(a,1,2,2))]. 9840 (((x \ 1) \ y) * z) \ ((x \ 1) \ y) != u | ((x * y) * z) \ (x * y) = u. [para(9836(a,2),1303(a,1))]. 9841 T(x * (y * z),z \ (y \ 1)) = ((z \ (y \ 1)) \ 1) * x. [hyper(166,a,9837,a(flip),b,1389,a)]. 9843 T(x * (y * (z \ 1)),z * (y \ 1)) = (((z \ 1) \ (y \ 1)) \ 1) * x. [hyper(6127,a,9841,a)]. 9844 T(x * (y * (z \ 1)),z / y) = (((z \ 1) \ (y \ 1)) \ 1) * x. [hyper(6123,a,9843,a)]. 9845 T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = ((((z \ 1) \ 1) \ (y \ 1)) \ 1) * x. [para(318(a,1),9844(a,1,2))]. 9846 (x / (K(y,z) \ u)) * K(z,y) = K(y,z) * ((K(y,z) \ x) / u). [para(342(a,1),8871(a,1,1))]. 9847 (x / (K(y,z) * u)) * K(y,z) = K(z,y) * ((K(z,y) \ x) / u). [para(6443(a,1),9846(a,1,1,2))]. 9848 (x / (K(y,z) * u)) * K(y,z) = K(z,y) * ((K(y,z) * x) / u). [para(6443(a,1),9847(a,2,2,1))]. 9849 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(2639(a,1),8930(a,1,2,2))]. 9850 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(9726(a,1),8948(a,1,1,2))]. 9852 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(6543(a,1),9192(a,2,2,2))]. 9853 ((((x \ 1) \ 1) / y) * (y / z)) \ 1 = (z / (((1 / y) \ 1) * x)) * y. [para(2155(a,1),9248(a,1,1))]. 9854 (((x \ 1) \ (1 / y)) * (y / z)) \ 1 = (z / (((1 / y) \ 1) * x)) * y. [para(318(a,1),9853(a,1,1,1))]. 9855 (x / y) \ (((z \ 1) \ (1 / x)) \ 1) = (y / (((1 / x) \ 1) * z)) * x. [hyper(311,a,9854,a)]. 9856 (x / y) \ (x * (((z \ 1) \ 1) \ 1)) = (y / (((1 / x) \ 1) * z)) * x. [para(320(a,1),9855(a,1,2))]. 9857 (x / (((1 / y) \ 1) * z)) * y = (y / x) \ (y * (1 / z)). [para(1057(a,1),9856(a,1,2,2)),flip(a)]. 9858 (x / y) \ (x * (1 / z)) = (y / (x * z)) * x. [para(65(a,1),9857(a,1,1,2,1)),flip(a)]. 9859 (x / (y * (z \ 1))) * y = (y / x) \ (y * z). [para(62(a,1),9858(a,1,2,2)),flip(a)]. 9861 (K(x,y) / z) \ (K(x,y) / u) = (z / (K(x,y) * u)) * K(x,y). [para(6452(a,1),9858(a,1,2))]. 9862 L((x / (y * z)) * y,y,y) = (x / y) / (z * (1 / y)). [para(9858(a,1),8735(a,1,1))]. 9863 ((1 / x) \ (y / z)) * z = (z / x) \ (z * y). [para(341(a,1),9859(a,1,1))]. 9864 (x / (y * z)) / (1 / y) = (x / y) / (z * (1 / y)). [hyper(1692,a,9862,a)]. 9865 (x / (y * z)) / (1 / y) = (y * (1 / x)) \ (y / z). [hyper(227,a,5661,a(flip),b,9864,a)]. 9866 ((x \ 1) \ ((1 / y) \ z)) * (z \ 1) = ((z \ 1) \ 1) * (((z \ x) \ 1) \ y). [para(317(a,1),9252(a,1,1,2))]. 9867 (((x * y) \ x) \ (z / x)) * x = (x \ 1) * ((y \ (x \ 1)) \ z). [para(1453(a,1),9253(a,1,1,1))]. 9868 (x \ 1) * ((y \ (x \ 1)) \ z) = ((x / z) * (y \ 1)) \ x. [hyper(227,a,2640,a(flip),b,9867,a(flip))]. 9869 (((x * y) / ((1 / z) * y)) \ x) \ 1 = ((x / (y \ z)) * (y \ 1)) \ x. [hyper(227,a,4070,a,b,9868,a(flip)),flip(a)]. 9870 R(1 / x,y,y \ (z \ 1)) \ 1 = ((z / (y \ x)) * (y \ 1)) \ z. [para(1837(a,1),9869(a,1,1))]. 9871 (x / y) \ (((1 / x) \ 1) * (1 / z)) = (y * (1 / x)) / (z / x). [para(339(a,1),9273(a,1,1))]. 9872 (x * (1 / y)) / (z / y) = (y / x) \ (y * (1 / z)). [para(65(a,1),9871(a,1,2,1)),flip(a)]. 9873 (x * (1 / y)) / (z / y) = (x / (y * z)) * y. [hyper(227,a,9858,a(flip),b,9872,a)]. 9875 R(L(x,y,y),1 / y,(1 / y) \ (z \ 1)) = ((y / z) \ (y * (1 / x))) \ z. [para(9872(a,1),1838(a,2,1))]. 9876 (x * (1 / y)) / (1 / (y * z)) = (x / (y * (1 / z))) * y. [para(325(a,1),9873(a,1,2))]. 9877 (x * (1 / (1 / y))) / ((z \ 1) / (1 / y)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [para(1574(a,2),9873(a,2,1,2))]. 9878 (x * (1 / (y \ 1))) / (L(y \ 1,z,u) / (y \ 1)) = (x / (y \ L(1 / y,z,u))) * (y \ 1). [para(1738(a,1),9873(a,2,1,2))]. 9879 (x * (1 / (y \ 1))) / ((z * (1 / (u * z))) / (y \ 1)) = (x / ((((u \ z) * (1 / z)) \ y) \ 1)) * (y \ 1). [para(3967(a,2),9873(a,2,1,2))]. 9880 (x * (1 / ((y \ z) * (1 / z)))) / (u / ((y \ z) * (1 / z))) = (x / ((y \ 1) * (u * K(z,z \ 1)))) * ((y \ z) * (1 / z)). [para(9166(a,2),9873(a,2,1,2))]. 9881 K(x,x \ 1) * (T(y,z) / z) = (x * (1 / (z * x))) * y. [para(9102(a,1),9282(a,1,2,1))]. 9882 K(x,x \ 1) / (y \ z) = (x * (1 / (z * x))) * y. [hyper(227,a,6798,a(flip),b,9881,a(flip)),flip(a)]. 9884 (x * (1 / (y * x))) * z = x * (1 / ((z \ y) * x)). [hyper(227,a,3664,a(flip),b,9882,a(flip))]. 9885 (x * (1 / (((y * y) \ z) * x))) / y = (1 / (x * (1 / (z * x)))) \ y. [hyper(73,a,9884,a(flip),b,909,a)]. 9886 x \ (K(x * (1 / (y * x)),(1 / (y * x)) \ (x \ 1)) / z) = 1 / (((1 / (z * (x * (1 / (y * x))))) \ y) * x). [hyper(72,a,3667,a,b,9884,a(flip))]. 9887 ((1 / (x * y)) \ (y \ 1)) \ (y * (1 / (((1 / (z * (y * (1 / (x * y))))) \ x) * y))) = (y * (1 / (x * y))) / z. [hyper(72,a,9884,a(flip),b,3362,a)]. 9889 (x * (((x \ y) \ 1) \ 1)) * z = x * (1 / ((z \ (1 / y)) * x)). [para(1064(a,1),9884(a,1,1,2))]. 9890 (x * (1 / (K(y \ z,z \ y) * (u * x)))) * w = x * (1 / ((w \ (K(y \ z,z \ y) * u)) * x)). [para(4577(a,1),9884(a,1,1,2,2))]. 9891 x * (1 / (((((1 / y) * z) * (x \ 1)) \ (1 / (z \ y))) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). [hyper(227,a,4376,a(flip),b,9889,a(flip))]. 9892 (x * (((x \ y) \ 1) \ 1)) * z != u * w | u \ (x * (1 / ((z \ (1 / y)) * x))) = w. [para(9889(a,2),457(a,1))]. 9893 (x * (1 / (((y * y) \ z) * x))) / y = (((z * x) \ 1) \ (1 / x)) \ y. [para(1120(a,1),9885(a,2,1))]. 9894 (x * (1 / (((y * y) \ z) * x))) / y = ((x \ (z \ 1)) \ (1 / x)) \ y. [para(123(a,1),9893(a,2,1,1))]. 9895 (x * (1 / (((y * y) \ z) * x))) / y = (((z \ 1) \ x) * (1 / x)) \ y. [para(1101(a,1),9894(a,2,1))]. 9896 (x * (1 / (((y * y) \ z) * x))) / y = (x * (((x \ z) \ 1) \ 1)) \ y. [para(2119(a,1),9895(a,2,1))]. 9897 ((1 / x) \ K(y \ z,z \ y)) \ u = (x \ u) * K(y \ z,z \ y). [para(4271(a,1),9338(a,1,1))]. 9898 (x * K(y \ z,z \ y)) \ u = (x \ u) * K(y \ z,z \ y). [para(6543(a,1),9897(a,1,1))]. 9899 x / ((y \ (z \ 1)) * K(u \ w,w \ u)) = (1 / x) \ (z * (y * K(u \ w,w \ u))). [para(9898(a,1),340(a,1,2))]. 9900 (1 / T(x,(y \ (z \ 1)) * K(u \ w,w \ u))) \ (z * (y * K(u \ w,w \ u))) = (z * (y * K(u \ w,w \ u))) * x. [para(9898(a,1),704(a,1,1,2,2))]. 9901 ((1 / T(x,y \ (z \ 1))) * K(u \ w,w \ u)) \ (z * y) = ((z * y) * x) * K(u \ w,w \ u). [para(704(a,1),9898(a,2,1))]. 9902 (x \ y) * (T(x \ T(y,x),y) \ z) = (y / x) * (T(x \ y,x) \ z). [para(652(a,1),9348(a,1,2,1))]. 9903 (x / y) * (T(y \ x,y) \ z) = x * (T(T(x,y),y) \ z). [hyper(227,a,9793,a(flip),b,9902,a(flip))]. 9904 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9371(a,1,1,2,1))]. 9905 x / ((y * T((1 / z) * y,u)) \ z) = ((1 / x) \ (z \ y)) * T(z \ y,u). [hyper(227,a,1082,a(flip),b,9411,a)]. 9906 T(x,((K(y,z) / u) / (u \ K(y,z))) * w) = T(x,K(K(z,y),u) * w). [para(6760(a,1),9441(a,1,2,1))]. 9907 T(x,K(y,y \ K(z,u)) * w) = T(x,K(K(u,z),y) * w). [para(5172(a,1),9906(a,1,2,1))]. 9908 (1 / x) \ (((((x \ y) \ 1) \ y) * (1 / y)) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [hyper(227,a,5734,a(flip),b,9442,a(flip))]. 9909 (x \ K(y,z)) * ((T(z,y) \ 1) \ (u / (T(z,y) \ u))) = (x \ z) * (w / (T(z,y) \ w)). [para(62(a,2),9474(a,1,2,2))]. 9910 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(8161(a,1),9560(a,1))]. 9911 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(6781,a,9585,a)]. 9912 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(132(a,1),9911(a,1,2,2))]. 9913 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(9624(a,2),9794(a,1,1))]. 9914 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(8232,a,9913,a),flip(a)]. 9915 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(9913(a,1),8232(a,1))]. 9916 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),9914(a,1,2,1,2)),flip(a)]. 9917 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(9914(a,1),6454(a,1,1,2))]. 9918 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9910,a,9916,a)]. 9919 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(227,a,9709,a(flip),b,9918,a(flip)),flip(a)]. 9920 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(13(a,1),9918(a,1,2,1,2)),flip(a)]. 9921 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(9919(a,1),7247(a,1,1)),flip(a)]. 9922 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(9128(a,1),9919(a,1,2,2,1,2))]. 9923 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(227,a,8158,a,b,9920,a(flip)),flip(a)]. 9924 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(9917(a,1),6517(a,1))]. 9925 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(9924,a,7824,a),flip(a)]. 9926 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(227,a,9788,a(flip),b,9925,a(flip))]. 9927 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9925(a,1),5022(a,2,2,2)),flip(a)]. 9928 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5137,a,9927,a),flip(a)]. 9929 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(227,a,7905,a,b,9928,a(flip)),flip(a)]. 9930 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9929(a,1),4965(a,1,1,1))]. 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(227,a,9021,a(flip),b,9923,a(flip)),flip(a)]. 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(227,a,9014,a(flip),b,9931,a(flip))]. 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9932(a,1,2,2))]. 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7065,a,9933,a)]. 9935 T(x / (y * (z \ (y / z))),y / z) = ((z / y) * x) * (z / y). [hyper(227,a,1408,a(flip),b,9743,a)]. 9936 T(x * (y * (z \ 1)),x) / (z / y) = ((y / z) * x) * (y / z). [hyper(227,a,2885,a(flip),b,9935,a(flip)),flip(a)]. 9937 ((x / y) \ z) / (x / y) = ((y / x) * z) * (y / x). [para(1218(a,1),9936(a,1,1))]. 9938 ((x / y) * L(z,y / x,y / x)) * (x / y) = (((y / x) \ 1) * z) / (y / x). [para(1388(a,1),9937(a,1,1)),flip(a)]. 9939 (1 / x) * ((1 / x) * (1 * K(x,y \ (x \ 1)))) = 1 / (T(x,y) / (1 / x)). [para(123(a,1),9767(a,1,2,2,2,2))]. 9940 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7140(a,1),9781(a,1,3,2))]. 9941 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(227,a,6945,a,b,9790,a(flip)),flip(a)]. 9942 L(x,y \ K(z,u),y \ K(z,u)) = L(x,K(u,z) * y,K(u,z) * y). [para(5084(a,1),9839(a,1,3,2))]. 9943 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),9849(a,1,2)),flip(a)]. 9944 ((x \ 1) \ 1) * (((x \ y) \ 1) \ z) = x * (((y \ 1) * x) \ ((1 / z) \ 1)). [hyper(227,a,1771,a(flip),b,9866,a(flip))]. 9945 R(L(x,y,y),1 / y,(y \ 1) \ (1 / z)) = ((y / z) \ (y * (1 / x))) \ z. [hyper(227,a,9219,a(flip),b,9875,a(flip)),flip(a)]. 9946 x / ((y * T((1 / z) * y,u)) \ z) = x * ((z \ y) * T(z \ y,u)). [hyper(227,a,8646,a(flip),b,9905,a)]. 9947 x / ((T(y / z,u) * y) \ z) = x * ((z \ y) * T(z \ y,u)). [para(646(a,1),9946(a,1,2,1))]. 9948 (1 / x) * ((1 / x) * K(x,y \ (x \ 1))) = 1 / (T(x,y) / (1 / x)). [para(11(a,1),9939(a,1,2,2))]. 9949 1 / (T(x,y) / (1 / x)) = (1 / x) * (T(x,y) \ 1). [para(5614(a,1),9948(a,1,2)),flip(a)]. 9950 (1 / x) * (T(x,y) \ 1) = x \ (T(x,y) \ 1). [hyper(227,a,1577,a(flip),b,9949,a(flip))]. 9951 (T(x,y) \ 1) * (1 / x) = x \ (T(x,y) \ 1). [hyper(227,a,1599,a,b,9950,a(flip)),flip(a)]. 9952 ((T(x,y) \ 1) \ 1) \ (1 / x) = x \ (T(x,y) \ 1). [hyper(227,a,5719,a,b,9951,a(flip)),flip(a)]. 9953 1 / (x * T(x,y)) = x \ (T(x,y) \ 1). [hyper(1118,a,9952,a)]. 9954 (x * (y * T(y,z))) * (y \ (T(y,z) \ 1)) = (y * T(y,z)) * ((1 / (y * T(y,z))) * x). [para(9953(a,1),2043(a,1,2))]. 9955 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(227,a,6926,a(flip),b,9941,a(flip)),flip(a)]. 9956 ((x \ 1) \ 1) * (((x \ y) \ 1) \ z) = x * (((y \ 1) * x) \ z). [para(65(a,1),9944(a,2,2,2))]. 9957 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6104,a,7096,a)]. 9958 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [hyper(420,a,9957,a(flip),b,100,a),flip(a)]. 9959 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6462(a,1),6557(a,1,3)),flip(a)]. 9960 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(9959(a,1),20(a,1))]. 9961 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(6611,a,9586,a)]. 9962 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9576(a,1),9961(a,1,2)),flip(a)]. 9963 a(x,y,a(z,u,K(y,w))) = 1. [hyper(71,a,9962,a(flip),b,89,a),flip(a)]. 9964 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7526(a,1),9963(a,1,3,3))]. 9965 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6632(a,1),6645(a,2,2))]. 9966 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(227,a,6762,a(flip),b,7023,a(flip)),flip(a)]. 9968 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(227,a,5364,a(flip),b,9966,a(flip))]. 9969 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(2496(a,1),9968(a,1,2,2))]. 9970 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(227,a,5455,a(flip),b,7025,a)]. 9971 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(227,a,5457,a(flip),b,7026,a)]. 9972 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5061(a,1),9971(a,1,1)),flip(a)]. 9973 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4675(a,2),7222(a,1,1))]. 9974 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(227,a,7198,a(flip),b,7225,a(flip))]. 9975 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(227,a,6016,a(flip),b,7232,a)]. 9976 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(227,a,6111,a(flip),b,9975,a(flip)),flip(a)]. 9977 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5217(a,1),9976(a,1,1))]. 9978 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(227,a,6914,a(flip),b,9977,a(flip))]. 9979 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),9978(a,1,2,1,1)),flip(a)]. 9980 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(2478(a,2),9978(a,1,2,1,1))]. 9981 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(227,a,6911,a(flip),b,9979,a(flip))]. 9982 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(5456,a,7244,a),flip(a)]. 9983 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(227,a,7798,a,b,9982,a(flip)),flip(a)]. 9984 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5456,a,7324,a),flip(a)]. 9986 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5456,a,7363,a),flip(a)]. 9987 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(102(a,2),9986(a,1,1))]. 9988 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9986(a,1),8671(a,1,2))]. 9989 K(x \ (y \ (x * z)),L(y,u,w)) != v5 | K(y \ z,L(y,u,w)) = v5. [para(9987(a,1),9725(a,1))]. 9990 T(x * (T(T(x,y),y) \ z),K(x,y)) = (1 / (K(y,x) * z)) \ K(y,x). [hyper(8221,a,7486,a),flip(a)]. 9991 T(x * (T(T(x,y),y) \ z),K(x,y)) = ((1 / z) * K(x,y)) \ K(y,x). [para(6465(a,1),9990(a,2,1))]. 9992 T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,x) * ((1 / z) \ K(y,x)). [hyper(227,a,5114,a(flip),b,9991,a)]. 9993 T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,x) * (z * K(y,x)). [para(6543(a,1),9992(a,2,2))]. 9994 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(6288,a,8832,a)]. 9995 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(2298(a,1),8885(a,1,2,1))]. 9996 R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = T(y,K(x,z)) / y. [hyper(227,a,224,a(flip),b,8895,a)]. 9997 R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = K(y,K(x,z)). [hyper(227,a,4993,a,b,9996,a)]. 9999 R(K(x,(T(y,z) / u) / (y / u)),y / w,w) = K(x,K(y,z)). [hyper(227,a,7428,a,b,9997,a)]. 10000 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(8877(a,1),9999(a,1,1))]. 10001 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7443(a,1),10000(a,1,1))]. 10002 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(227,a,8601,a(flip),b,10001,a(flip)),flip(a)]. 10003 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(62(a,1),10002(a,1,2,2,2))]. 10004 a(K(x,y),z,z \ y) = K(u,K(w,R(v5,v6,v6 \ u))) * K(v5,K(u,w)). [para(10003(a,1),8567(a,2,2))]. 10005 a(K(x,y),z,z \ y) = K(u,K(w,R(v5,v6,v6 \ u))) * K(u,K(w,v5)). [para(7434(a,2),10004(a,2,2))]. 10006 a(K(x,y),z,z \ x) = K(u,K(w,R(v5,v6,v6 \ u))) * K(u,K(w,v5)). [para(5202(a,1),10005(a,1,1))]. 10007 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(8977,a,9632,a),flip(a)]. 10008 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),10007(a,2,2,1))]. 10009 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(8971,a,10008,a),flip(a)]. 10010 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),10009(a,1,2)),flip(a)]. 10011 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),10010(a,1,2,1,1))]. 10012 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(6391(a,1),10010(a,1,2)),flip(a)]. 10013 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(6430(a,2),10010(a,1,2))]. 10014 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(10011(a,1),4978(a,1,1,2))]. 10015 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(10014(a,1),6068(a,1,2)),flip(a)]. 10016 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7473,a,9008,a)]. 10017 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(8655(a,1),9024(a,1,1))]. 10018 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(5582(a,1),9031(a,2,2))]. 10019 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7263(a,1),10018(a,1,1,1))]. 10020 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(10019(a,1),62(a,1,2))]. 10022 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(227,a,9007,a(flip),b,10020,a(flip)),flip(a)]. 10023 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(8025(a,1),10022(a,1,1))]. 10024 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(6555(a,2),10023(a,2,1))]. 10025 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(7775(a,1),10024(a,2,1))]. 10026 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(227,a,6443,a(flip),b,9039,a)]. 10027 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ (1 / (x \ (y \ (z \ 1))))))). [para(3413(a,1),9267(a,2,2,2))]. 10028 (1 / (x \ 1)) * (((x \ 1) * y) * L(z,x,x)) = (y * x) * (x \ z). [para(62(a,1),9300(a,2,1,2))]. 10029 x * (((x \ 1) * y) * L(z,x,x)) = (y * x) * (x \ z). [hyper(301,a,10028,a)]. 10031 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7011(a,1),9369(a,1,1,2))]. 10032 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(227,a,5364,a(flip),b,10031,a(flip))]. 10034 L(x,((1 / y) * z) * u,((1 / y) * z) * u) = L(x,(z \ y) \ u,(z \ y) \ u). [hyper(1435,a,9404,a)]. 10035 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9566(a,2,2,1,1))]. 10036 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(85,a,10035,a)]. 10037 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10035(a,1),293(a,1,1)),flip(b)]. 10039 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(113(a,2),10036(a,1,2))]. 10040 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(10015(a,2),10039(a,1,1))]. 10041 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(8960,a,9605,a)]. 10042 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(15(a,1),10041(a,1,2,1)),flip(a)]. 10043 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(227,a,40,a,b,9708,a(flip)),flip(a)]. 10044 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7489(a,1),9740(a,1,1,3))]. 10045 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(6443(a,1),10044(a,2,2))]. 10046 L(x,y \ (1 / z),y \ (1 / z)) = (y * z) \ ((1 / (y * z)) \ x). [para(65(a,1),9827(a,1,1,2)),flip(a)]. 10047 L(x,y \ (1 / z),y \ (1 / z)) != u | L(x,y * z,y * z) = u. [para(10046(a,2),1365(a,1))]. 10048 L(x,(1 / y) \ z,(1 / y) \ z) != u | L(x,z * y,z * y) = u. [para(9830(a,1),10047(a,1))]. 10049 ((x / y) * L(z,y / x,y / x)) * (x / y) = (y / x) \ (z / (y / x)). [hyper(227,a,1993,a(flip),b,9938,a)]. 10050 ((1 / (x / y)) \ z) * (x / y) = (y / x) \ (z / (y / x)). [para(8215(a,1),10049(a,1,1))]. 10051 (x / y) \ (z / (x / y)) = (y / x) * (z * (y / x)). [hyper(674,a,10050,a),flip(a)]. 10052 ((x / y) \ z) * (y * (x \ 1)) = (y / x) * (z * (y / x)). [hyper(227,a,1282,a,b,10051,a(flip)),flip(a)]. 10053 (1 / (x * y)) \ (z / ((1 / y) / x)) = (x / (1 / y)) * (z * (x / (1 / y))). [para(325(a,1),10051(a,1,1))]. 10054 (1 / (x * y)) \ (z / (1 / (x * y))) = (x / (1 / y)) * (z * (x / (1 / y))). [para(325(a,1),10053(a,1,2,2))]. 10055 (x / (1 / y)) * (z * (x / (1 / y))) = (x * y) * (z * (x * y)). [hyper(1331,a,10054,a),flip(a)]. 10056 ((x \ 1) \ y) * (z * ((x \ 1) \ y)) = (x * y) * (z * (x * y)). [hyper(227,a,4517,a(flip),b,10055,a(flip)),flip(a)]. 10057 (x * ((x \ 1) * y)) * (z * (x * ((x \ 1) * y))) = y * (z * ((x \ 1) \ ((x \ 1) * y))). [para(13(a,1),10056(a,1,1)),flip(a)]. 10058 ((((x \ y) \ y) \ 1) \ (1 / y)) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). [para(1600(a,1),10056(a,2,2,2))]. 10059 ((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * (z * ((x \ 1) \ ((1 / x) * ((y \ x) \ 1)))) = (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))). [para(2175(a,1),10056(a,2,1))]. 10060 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(227,a,9800,a(flip),b,9965,a)]. 10061 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(227,a,9531,a(flip),b,10060,a)]. 10063 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(215,a,9973,a),flip(a)]. 10064 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5452(a,1),10063(a,2,1))]. 10065 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(10064(a,1),8773(a,1,2)),flip(a)]. 10066 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(227,a,6455,a(flip),b,10065,a)]. 10067 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(8774,a,10066,a)]. 10069 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(227,a,8010,a,b,10067,a(flip)),flip(a)]. 10070 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),10069(a,1,2,2,1)),flip(a)]. 10071 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4873(a,1),10069(a,1,2,2,1))]. 10072 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(227,a,10070,a(flip),b,10071,a)]. 10073 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(227,a,8040,a,b,10072,a(flip)),flip(a)]. 10074 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(65(a,1),10073(a,2,2,2,1))]. 10075 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(9619(a,2),9974(a,1,2))]. 10076 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(728(a,1),9995(a,1,2,2))]. 10077 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(8364,a,10076,a)]. 10078 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10016(a,1),7473(a,1))]. 10079 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(6559(a,1),10026(a,1,1,1))]. 10080 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ ((1 / 1) \ ((z * y) * x))))). [para(760(a,1),10027(a,2,2,2,2,2))]. 10081 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10040(a,1),506(a,1))]. 10082 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9929(a,1),10043(a,1,1))]. 10083 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(209,a,10075,a),flip(a)]. 10084 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6873(a,1),10083(a,2,2))]. 10085 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(7930,a,10084,a)]. 10086 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(10085(a,1),6454(a,1,1,2)),flip(a)]. 10087 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(227,a,6454,a(flip),b,10086,a)]. 10088 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),10087(a,1,1,1)),flip(a)]. 10089 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(10088(a,1),5022(a,2,2,2)),flip(a)]. 10090 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5137,a,10089,a),flip(a)]. 10091 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(227,a,7300,a,b,10090,a(flip)),flip(a)]. 10092 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(227,a,6817,a,b,10091,a(flip)),flip(a)]. 10093 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(6559(a,1),10079(a,1,1,1))]. 10094 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ (1 \ ((z * y) * x))))). [para(59(a,1),10080(a,2,2,2,2,2,1))]. 10095 R(x,x \ (y \ (z \ 1)),z) = y \ (z * (z \ (z \ ((z * y) * x)))). [para(50(a,1),10094(a,2,2,2,2,2))]. 10097 R(x,x \ (y \ (z \ 1)),z) = y \ (z \ ((z * y) * x)). [para(14(a,1),10095(a,2,2))]. 10099 L(R(x,x \ (y \ (z \ 1)),z),y,z) = x. [para(10097(a,2),460(a,1,1))]. 10100 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(9706(a,1),10082(a,1,1)),flip(a)]. 10101 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10100(a,1),5803(a,1,2,1))]. 10103 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9038(a,1),10093(a,1,1))]. 10104 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(9406,a,10103,a)]. 10105 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(227,a,9539,a(flip),b,10104,a(flip))]. 10106 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(227,a,8732,a(flip),b,10104,a(flip))]. 10107 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(10105(a,2),16(a,1,1))]. 10108 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10106(a,2),10037(a,1))]. 10109 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(2299(a,1),10107(a,1,1,2))]. 10111 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(10107(a,1),8808(a,1,2)),flip(a)]. 10112 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(6444(a,1),10109(a,1,2,2)),flip(a)]. 10113 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(6065(a,1),10111(a,1,2,2))]. 10114 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6225(a,1),10112(a,2,2))]. 10115 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(227,a,8803,a(flip),b,10113,a(flip))]. 10117 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(227,a,8802,a(flip),b,10115,a(flip))]. 10118 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(227,a,7983,a,b,10117,a(flip)),flip(a)]. 10120 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(227,a,9395,a(flip),b,10118,a(flip)),flip(a)]. 10122 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(227,a,8016,a(flip),b,10120,a(flip)),flip(a)]. 10123 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(v5,x) * u,w)). [hyper(227,a,10117,a,b,10122,a),flip(a)]. 10125 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(10122(a,1),6454(a,1,1,2)),flip(a)]. 10126 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(v5,x) * u,w)). [hyper(227,a,6802,a,b,10123,a(flip)),flip(a)]. 10127 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(227,a,6454,a(flip),b,10125,a)]. 10128 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10127(a,1),5022(a,2,2,2))]. 10130 T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(v5,x) * u,w)). [para(10126(a,1),4996(a,2,2))]. 10131 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10128(a,2),5137(a,1))]. 10132 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(v5,x) * u,w)). [hyper(227,a,4996,a,b,10130,a)]. 10133 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(v5,x) * u,w)). [para(6421(a,1),10132(a,1,2,1))]. 10134 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10131,a,10133,a(flip)),flip(a)]. 10135 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5325,a,10134,a)]. 10136 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(6421(a,1),10114(a,1,2)),flip(a)]. 10138 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(7884(a,1),6409(a,1,1)),flip(a)]. 10139 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(227,a,6673,a(flip),b,10138,a)]. 10140 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(2518(a,1),10139(a,1,1)),flip(a)]. 10141 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9386,a,10140,a)]. 10142 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(227,a,1912,a(flip),b,6423,a(flip)),flip(a)]. 10143 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(176(a,1),6552(a,1,2)),flip(a)]. 10144 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5084(a,1),10143(a,1,1,2,1))]. 10145 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9572(a,1),10144(a,1,1)),flip(a)]. 10146 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(227,a,9784,a,b,10145,a(flip)),flip(a)]. 10147 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6883(a,1),10145(a,1,2)),flip(a)]. 10148 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(72,a,6444,a(flip),b,10147,a),flip(a)]. 10149 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(227,a,10146,a(flip),b,10148,a(flip))]. 10150 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(1102,a,10149,a)]. 10151 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(458,a,10149,a)]. 10152 a(x,y,K(z,u)) \ w != v5 * w | a(x,y,K(u,z)) = v5. [para(10149(a,2),20(a,1))]. 10153 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(10149(a,1),292(a,1,2)),flip(b)]. 10154 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [hyper(227,a,418,a(flip),b,10150,a(flip)),flip(a)]. 10155 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(10150(a,1),62(a,1,2))]. 10156 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(10150(a,1),292(a,1,2)),flip(b)]. 10158 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(177(a,1),6553(a,1,2)),flip(a)]. 10159 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5084(a,1),10158(a,1,1,2,1))]. 10160 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(227,a,5454,a(flip),b,7027,a)]. 10162 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(227,a,7940,a(flip),b,7941,a)]. 10163 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(62(a,1),10162(a,1,1,2,1,2,1))]. 10164 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(227,a,7004,a(flip),b,10163,a(flip)),flip(a)]. 10165 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(7739,a,10164,a)]. 10166 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5625(a,1),7951(a,1,1,2))]. 10167 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(7153,a,10166,a)]. 10168 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6880(a,1),10167(a,2,1))]. 10169 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6887,a,10168,a),flip(a)]. 10170 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(227,a,175,a(flip),b,10169,a)]. 10171 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(227,a,6605,a(flip),b,8129,a)]. 10173 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(227,a,9183,a(flip),b,8507,a(flip)),flip(a)]. 10174 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(227,a,8506,a(flip),b,10173,a(flip))]. 10175 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(1647(a,1),8593(a,1,1))]. 10176 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(7178,a,10175,a),flip(a)]. 10178 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(177(a,1),8627(a,2,1))]. 10179 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(227,a,8586,a(flip),b,10178,a(flip))]. 10180 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(227,a,8630,a(flip),b,8633,a)]. 10181 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(7555(a,1),10180(a,1,2,1,1)),flip(a)]. 10182 K(x \ y,x) * (y * (x \ (y / x))) = ((1 / x) * y) * (y * (x \ 1)). [para(1361(a,1),8868(a,1,2,2))]. 10183 ((1 / x) * y) * (y * (x \ 1)) = (y / x) * (x \ y). [hyper(227,a,8217,a(flip),b,10182,a(flip))]. 10184 ((1 / x) * y) * (y * (x \ 1)) = (x \ y) * (y / x). [hyper(227,a,275,a(flip),b,10183,a)]. 10186 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(227,a,2446,a(flip),b,8893,a(flip)),flip(a)]. 10187 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(6996(a,2),10186(a,1,1))]. 10188 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(65(a,1),10187(a,1,1,2,1))]. 10189 L(x,K(y,z),K(z,u)) = x. [hyper(464,a,10188,a)]. 10190 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [hyper(227,a,6850,a(flip),b,10188,a)]. 10191 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(10188(a,1),283(a,1,2))]. 10193 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(3070(a,1),10188(a,1,1))]. 10194 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(8908(a,1),10188(a,1,1)),flip(a)]. 10195 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(227,a,2308,a(flip),b,10189,a)]. 10196 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(227,a,8060,a(flip),b,10189,a(flip)),flip(a)]. 10197 L(x,K(y,z),K(y,u)) = x. [para(5202(a,1),10189(a,1,2))]. 10198 L(x,K(y,T(z,u)),K(z,w)) = x. [para(6559(a,1),10189(a,1,2))]. 10199 L(x,K(y,z),K(u,K(z,w))) = x. [para(7400(a,1),10189(a,1,3))]. 10200 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(227,a,8060,a(flip),b,10197,a(flip)),flip(a)]. 10201 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(10197(a,1),100(a,1,2))]. 10202 L(x,K(y,z),K(u,y)) = x. [para(5199(a,1),10197(a,1,3))]. 10203 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [hyper(227,a,8060,a(flip),b,10202,a(flip)),flip(a)]. 10204 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(227,a,5163,a(flip),b,10202,a(flip)),flip(a)]. 10205 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(10202(a,1),100(a,1,2))]. 10207 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10198(a,1),100(a,1,2))]. 10208 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [para(10199(a,1),100(a,1,2))]. 10209 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(227,a,6850,a(flip),b,10194,a(flip)),flip(a)]. 10210 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [para(6444(a,1),10194(a,1,2)),flip(a)]. 10211 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10195(a,1),8255(a,1,2,3))]. 10212 a(x,y,x) * z = z * a(x,y,x). [hyper(8961,a,10209,a),flip(a)]. 10213 T(x,a(y,z,y)) = x. [hyper(8959,a,10209,a)]. 10214 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [hyper(6490,a,10209,a)]. 10215 T(a(x,y,x),z) = a(x,y,x). [hyper(166,a,10209,a(flip),b,8926,a(flip))]. 10217 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5301(a,2),10209(a,1,1))]. 10219 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(3398,a,10213,a)]. 10220 x / a(y,z,y) = a(y,z,y) \ x. [hyper(408,a,10213,a),flip(a)]. 10221 K(x,a(y,z,y)) = 1. [hyper(36,a,10213,a)]. 10223 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(10213(a,1),408(a,1))]. 10224 x * K(y,a(z,u,z)) = x. [para(10221(a,2),12(a,1,2))]. 10225 T(x,a(y,z,y)) != u | u = x. [para(10224(a,1),5000(a,1)),flip(a)]. 10226 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10224(a,1),5031(a,1,1,1))]. 10227 x * a(y,z,y) != u * x | a(y,z,y) = u. [para(10215(a,1),169(a,1,2)),flip(b)]. 10229 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [para(10215(a,1),788(a,1,2)),flip(a)]. 10231 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(227,a,8965,a(flip),b,10212,a)]. 10232 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(72,a,10212,a,b,719,a)]. 10233 L(x \ (a(y,z,y) \ u),x,a(y,z,y)) = (x * a(y,z,y)) \ u. [para(10212(a,1),219(a,2,1))]. 10234 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10212(a,1),720(a,1,2,1))]. 10235 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(10212(a,1),872(a,1,1))]. 10236 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [para(10219(a,1),8958(a,1,2)),flip(a)]. 10237 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10220(a,1),8955(a,1,2))]. 10238 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(227,a,10212,a,b,10229,a)]. 10239 (x \ 1) * a(y,z,y) = x \ a(y,z,y). [hyper(3859,a,10238,a)]. 10240 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [hyper(307,a,10238,a),flip(a)]. 10241 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10239(a,1),8929(a,1,1))]. 10242 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(17,a,1361,a,b,10240,a),flip(a)]. 10243 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(17,a,8954,a,b,10242,a)]. 10244 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(10243(a,1),10242(a,1,2))]. 10245 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(227,a,10220,a(flip),b,10244,a)]. 10246 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(227,a,8468,a,b,10245,a(flip)),flip(a)]. 10248 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(18,a,13,a(flip),b,10246,a)]. 10249 a(x,y,x) * (z * x) = z * R(x,y,x). [para(10248(a,1),16(a,1,1)),flip(a)]. 10250 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(10248(a,1),68(a,1,1,1))]. 10251 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(227,a,10212,a(flip),b,10249,a(flip)),flip(a)]. 10252 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(72,a,10249,a(flip),b,10212,a(flip))]. 10254 R(a(x,y,x),x,z) = a(x,y,x). [hyper(227,a,9675,a(flip),b,10250,a(flip)),flip(a)]. 10255 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10250(a,1),207(a,1,1)),flip(b)]. 10257 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(227,a,499,a,b,10254,a(flip)),flip(a)]. 10258 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(306,a,10251,a),flip(a)]. 10259 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10251(a,1),9850(a,1,1))]. 10260 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(227,a,6225,a,b,10258,a(flip)),flip(a)]. 10261 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(2531(a,1),10258(a,1,2))]. 10262 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10258(a,2),8964(a,1,2))]. 10263 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),10260(a,1,2)),flip(a)]. 10264 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10260(a,1),2300(a,1,2))]. 10265 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(227,a,10212,a,b,10263,a(flip)),flip(a)]. 10266 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(10263(a,1),282(a,1,2)),flip(b)]. 10267 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(72,a,10264,a(flip),b,100,a)]. 10269 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10265(a,1),506(a,1,1,1))]. 10271 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(10244(a,2),10223(a,1))]. 10272 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(10214(a,1),19(a,1)),flip(a)]. 10273 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(6193(a,1),10217(a,1,2))]. 10274 L(a(x,y,x),z,x) = a(x,y,x). [hyper(10266,a,10267,a),flip(a)]. 10275 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(227,a,10252,a,b,10274,a)]. 10276 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(227,a,303,a(flip),b,10275,a)]. 10277 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(73,a,6876,a(flip),b,10193,a)]. 10278 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(3070(a,1),10196(a,1,1))]. 10279 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(227,a,8839,a(flip),b,10200,a(flip))]. 10280 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(227,a,10190,a,b,10203,a)]. 10281 R(K(x,y),K(y,z),u) = K(x,y). [hyper(9290,a,10205,a)]. 10282 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(73,a,6488,a(flip),b,10205,a)]. 10283 x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. [para(10205(a,1),283(a,1,2))]. 10284 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10281(a,1),4407(a,1,1)),flip(a)]. 10285 R(K(x,y),K(z,y),u) = K(x,y). [para(5199(a,1),10281(a,1,2))]. 10286 T(x,R(a(y,z,y),u,w)) = x. [hyper(169,a,10226,a)]. 10287 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7515(a,1),10277(a,1,1))]. 10288 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(6559(a,1),10278(a,1,1,1))]. 10289 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(166,a,10280,a(flip),b,659,a),flip(a)]. 10291 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5305(a,1),10282(a,1,1))]. 10292 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10241(a,1),3315(a,1,1)),flip(a)]. 10293 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(227,a,9687,a(flip),b,10259,a)]. 10294 L(T(x,y),z,T(x,u)) = (y * R(x,z,x)) \ ((x * y) * x). [hyper(227,a,9687,a,b,10293,a),flip(a)]. 10296 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(227,a,8865,a(flip),b,10273,a(flip)),flip(a)]. 10297 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(10217(a,1),10296(a,1,2)),flip(a)]. 10298 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(308,a,10297,a),flip(a)]. 10299 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(10208(a,2),1646(a,1,2))]. 10300 (a(x,y,x) * z) \ u = (z * a(x,y,x)) \ u. [hyper(227,a,219,a(flip),b,10233,a(flip)),flip(a)]. 10301 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(227,a,10136,a(flip),b,10262,a(flip)),flip(a)]. 10302 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10301(a,1),8634(a,1,2))]. 10303 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(9795(a,1),10191(a,1))]. 10304 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10215(a,1),10234(a,2,1))]. 10305 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(8918(a,2),10304(a,1,2,1))]. 10307 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(227,a,9943,a,b,10305,a(flip)),flip(a)]. 10308 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(4978(a,1),10307(a,1,1,2)),flip(a)]. 10309 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3822(a,1),10279(a,1,2)),flip(a)]. 10310 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(227,a,6193,a(flip),b,10309,a)]. 10311 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(7778(a,1),10310(a,2,2))]. 10312 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7515(a,1),10287(a,1,2))]. 10313 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(227,a,6583,a(flip),b,10312,a)]. 10314 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(155(a,2),10291(a,1,2,2,2))]. 10315 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(726(a,1),10276(a,2,2))]. 10316 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(6182,a,10302,a),flip(a)]. 10317 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(2841(a,1),8899(a,1,2))]. 10318 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(825,a,10317,a),flip(a)]. 10319 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10317(a,1),825(a,1))]. 10320 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(227,a,8399,a,b,10318,a(flip)),flip(a)]. 10321 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10318(a,1),14(a,1,2))]. 10322 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10318(a,1),4644(a,1,1)),flip(a)]. 10323 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10318(a,1),8626(a,1,2)),flip(a)]. 10324 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(9969(a,2),10318(a,1,2))]. 10325 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(8122(a,1),10322(a,2,1))]. 10327 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10320(a,1),5314(a,1,1))]. 10328 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7019(a,1),10320(a,1,1))]. 10329 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10320(a,1),7840(a,1,1)),flip(a)]. 10330 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(16(a,1),10327(a,1,2,2))]. 10331 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5806,a,10323,a)]. 10332 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(227,a,1912,a(flip),b,10331,a(flip)),flip(a)]. 10333 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10331(a,1),14(a,1,2))]. 10334 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(2712(a,1),8900(a,1,2))]. 10335 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(825,a,10334,a),flip(a)]. 10336 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10335(a,1),8683(a,1,2))]. 10337 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10336(a,1),19(a,1))]. 10338 x \ ((y * z) * (1 / (u * (y * z)))) = (x \ (1 / u)) * K(z \ y,y \ z). [para(8370(a,1),9230(a,1,2)),flip(a)]. 10339 (x \ (1 / y)) * K(z \ u,u \ z) = x \ (K(z \ u,u \ z) / y). [para(8392(a,1),10338(a,1,2)),flip(a)]. 10340 (x * x) * (x \ (((x \ 1) * y) * z)) = 1 / ((z \ (y \ x)) * (x \ 1)). [para(62(a,1),9245(a,1,2,1,2,2)),flip(a)]. 10341 (x * x) * (x \ (((x \ 1) * y) * z)) = x / (z \ (y \ x)). [hyper(227,a,263,a(flip),b,10340,a)]. 10342 (x \ 1) \ (((x \ 1) * y) * z) = x / (z \ (y \ x)). [hyper(3345,a,10341,a)]. 10343 L(x / (y \ (z \ x)),x,x) = x * (((x \ 1) * z) * y). [para(10342(a,1),1387(a,1,1))]. 10344 x / (y \ ((z * (x \ 1)) \ x)) = (x \ 1) \ ((x \ (z / x)) * y). [para(1361(a,1),10342(a,1,2,1)),flip(a)]. 10345 (((x \ 1) * y) * z) \ (x \ 1) = (x * (x / (z \ (y \ x)))) \ x. [para(10342(a,1),1431(a,1,1,2)),flip(a)]. 10346 (1 / (x \ 1)) * (((x \ 1) / y) / z) = 1 / (x / (y \ (z \ x))). [para(10342(a,1),1884(a,1,2)),flip(a)]. 10347 L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,(z \ 1) / (z / (w \ (u \ z)))). [para(10342(a,1),4926(a,1,3,2)),flip(a)]. 10348 1 / ((x \ (y \ z)) / z) = z * (((z \ 1) * y) * x). [hyper(1469,a,10343,a)]. 10349 (x \ 1) \ ((x \ (y / x)) * z) = x / (z \ (x * (y \ x))). [para(780(a,1),10344(a,1,2,2)),flip(a)]. 10350 (((x \ 1) * y) * z) \ (x \ 1) = (z \ (y \ x)) / x. [hyper(227,a,963,a(flip),b,10345,a)]. 10351 1 / (x / (y \ (z \ x))) = x * (((x \ 1) / y) / z). [hyper(301,a,10346,a),flip(a)]. 10353 1 / (x / (y \ (z \ x))) = x * ((x \ (1 / y)) / z). [para(318(a,1),10351(a,2,2,1))]. 10354 L(x,y \ (z \ (u \ 1)),y \ (z \ (u \ 1))) = L(x,(u * z) * y,(u * z) * y). [para(123(a,1),9838(a,1,3,2))]. 10355 T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = (((y \ 1) \ 1) * (1 / (z \ 1))) * x. [para(1070(a,1),9845(a,2,1))]. 10356 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8444(a,1),9960(a,1)),flip(a)]. 10357 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(227,a,5835,a(flip),b,10101,a(flip))]. 10358 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(10032(a,1),10142(a,2,2,2,1,1))]. 10359 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(8465,a,10204,a)]. 10360 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4978(a,1),10308(a,2,2))]. 10361 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10319,a,10324,a)]. 10362 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(227,a,9397,a(flip),b,10361,a(flip))]. 10363 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(8123,a,10362,a)]. 10364 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9969(a,1),10325(a,1,1))]. 10365 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10363(a,1),10364(a,2,1))]. 10366 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(227,a,10322,a(flip),b,10365,a(flip)),flip(a)]. 10367 T(x * (y * ((z \ 1) \ 1)),z \ (1 / y)) = (((y \ 1) \ 1) * z) * x. [para(62(a,1),10355(a,2,1,2))]. 10368 T(x * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = (((y \ 1) \ 1) * z) * x. [hyper(227,a,9103,a(flip),b,10367,a(flip)),flip(a)]. 10369 T(((1 / x) * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = ((((y \ 1) \ 1) * z) / x) * (((y \ 1) \ 1) * z). [hyper(227,a,624,a(flip),b,10368,a)]. 10370 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(227,a,7964,a(flip),b,6848,a(flip))]. 10371 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(7954(a,1),5224(a,1))]. 10372 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10371,a,9730,a)]. 10373 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(16(a,1),8055(a,1,2))]. 10374 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(227,a,8810,a(flip),b,10373,a(flip)),flip(a)]. 10375 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10189(a,1),8454(a,1,1,1)),flip(a)]. 10376 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(3070(a,1),10375(a,1,2,2))]. 10377 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10376(a,1),6505(a,1,1))]. 10378 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6478(a,1),10377(a,1,1,1)),flip(a)]. 10379 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(42(a,2),8594(a,1,1,2))]. 10380 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5230,a,8789,a),flip(a)]. 10381 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(227,a,7844,a(flip),b,10380,a)]. 10382 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(7852,a,10381,a)]. 10383 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9376(a,1),10382(a,1,2))]. 10384 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(227,a,9988,a(flip),b,10383,a(flip))]. 10385 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(227,a,7849,a(flip),b,10384,a(flip))]. 10386 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7430,a,10385,a)]. 10387 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(227,a,9609,a(flip),b,10386,a(flip)),flip(a)]. 10388 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(227,a,9002,a(flip),b,10387,a)]. 10390 K(x,K(y,a(z,x,u))) = 1. [para(160(a,1),10388(a,1,2,2,3))]. 10392 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10390(a,1),7404(a,1,2)),flip(a)]. 10393 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(227,a,12,a(flip),b,10392,a)]. 10394 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(7700,a,10393,a)]. 10395 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10394(a,1),113(a,1,2)),flip(a)]. 10396 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(1938(a,1),8938(a,1,1)),flip(a)]. 10397 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(6559(a,1),8972(a,2,1,2))]. 10398 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9514(a,2),7650(a,1))]. 10399 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9930(a,1),5224(a,1))]. 10400 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10399,a,9702,a)]. 10401 K(L(x,y,z) \ u,L(x,y,z)) != w | K(x \ u,L(x,y,z)) = w. [para(10400(a,1),9989(a,1))]. 10402 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(10232(a,1),10235(a,1))]. 10403 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(6565(a,1),10328(a,1,2)),flip(a)]. 10404 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(227,a,10320,a(flip),b,10403,a)]. 10406 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(115(a,1),10404(a,1,2)),flip(a)]. 10407 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(367(a,1),10404(a,1,2,2))]. 10408 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10406(a,1),10330(a,1,1))]. 10409 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(227,a,6607,a(flip),b,10408,a)]. 10410 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(10181(a,1),10374(a,1,1))]. 10411 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(227,a,10373,a(flip),b,10410,a(flip))]. 10413 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(7870,a,10411,a),flip(a)]. 10414 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(6318,a,10413,a),flip(a)]. 10415 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5300(a,1),10414(a,1,2,2,1)),flip(a)]. 10416 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7486(a,1),10379(a,1,2))]. 10417 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9676(a,1),10397(a,2,1))]. 10418 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(227,a,10045,a(flip),b,10417,a)]. 10419 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(6559(a,1),10418(a,1,1,2))]. 10420 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7515(a,1),10419(a,1,2))]. 10421 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8680(a,2),10420(a,1,1))]. 10422 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7673(a,1),10416(a,1,2))]. 10423 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10422(a,1),5364(a,1,1,2))]. 10425 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5363(a,1),10423(a,1,1))]. 10426 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(227,a,5701,a(flip),b,10425,a(flip))]. 10427 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10426(a,1),8400(a,2,1))]. 10428 ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,((x / y) * z) \ 1). [hyper(8310,a,6358,a),flip(a)]. 10429 ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,z \ ((x / y) \ 1)). [hyper(227,a,8154,a(flip),b,10428,a)]. 10430 ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) * z,z \ (y * (x \ 1))). [para(125(a,1),10429(a,2,2,2))]. 10431 (x / y) * ((y \ x) \ (K(y \ x,y) \ z)) = (K(y,y \ x) * K(y,y \ x)) * z. [para(5101(a,1),6380(a,1,2,2,1))]. 10432 (K(x,x \ y) * K(x,x \ y)) * z = (y / x) * (T(x \ y,x) \ z). [para(5813(a,1),10431(a,1,2)),flip(a)]. 10433 ((x / y) * ((y \ x) \ K(y,y \ x))) * z = (x / y) * (T(y \ x,y) \ z). [para(6246(a,2),10432(a,1,1))]. 10434 ((x / y) * (T(y \ x,y) \ 1)) * z = (x / y) * (T(y \ x,y) \ z). [para(4963(a,2),10433(a,1,1,2))]. 10435 ((x / y) * T(x \ y,y)) * z = (x / y) * (T(y \ x,y) \ z). [para(973(a,1),10434(a,1,1,2))]. 10436 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(6425(a,1),6441(a,2,2))]. 10437 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(10436(a,2),474(a,1))]. 10439 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6512(a,1),6637(a,2,1))]. 10440 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) != w | R(x,y,z) = w. [para(10439(a,2),506(a,1))]. 10442 R(R(x,y,(z \ u) \ u),y * T(z,z \ u),K(z \ u,z)) != w | R(x,y,z) = w. [para(114(a,1),10440(a,1,1,3))]. 10443 R(x,y,(z \ 1) \ 1) != u | R(x,y,z) = u. [para(9082(a,1),10442(a,1))]. 10444 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(227,a,5368,a(flip),b,7184,a)]. 10445 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(114(a,1),10444(a,1,1,1))]. 10446 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(7198(a,1),7224(a,2,1))]. 10447 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(145(a,1),7788(a,1,1))]. 10449 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6497(a,1),10447(a,1,2))]. 10450 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5708(a,1),10449(a,1,2)),flip(a)]. 10451 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(227,a,11,a(flip),b,10450,a)]. 10452 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(6490,a,10451,a)]. 10453 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(5567(a,1),10452(a,1,2,2))]. 10454 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(8247(a,1),10452(a,1,1))]. 10455 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(6484,a,10454,a)]. 10456 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10426(a,1),10454(a,1,2,2))]. 10457 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(10319,a,10455,a)]. 10458 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(10455(a,1),10319(a,1))]. 10459 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10323(a,1),10456(a,1,2))]. 10460 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(6463,a,10459,a)]. 10461 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(10459(a,1),6463(a,1)),flip(b)]. 10462 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(10458,a,10460,a)]. 10465 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(10462(a,1),10366(a,1,1)),flip(a)]. 10467 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(10457(a,2),10461(a,1))]. 10468 K(x * K(y * K(z,u),w),T(u,y * K(z,u))) = K(y \ (x * T(y * K(z,u),w)),u). [hyper(6709,a,7825,a)]. 10469 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(227,a,7318,a(flip),b,8110,a(flip))]. 10471 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(227,a,7955,a(flip),b,10469,a(flip))]. 10473 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10471(a,2,2))]. 10474 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5202(a,1),10473(a,1,2,2,1))]. 10475 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(6443(a,2),10473(a,1,2,2))]. 10476 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10474(a,1),5315(a,1,2,2)),flip(a)]. 10477 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(227,a,5315,a(flip),b,10476,a)]. 10478 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4970(a,1),10477(a,1,1,2)),flip(a)]. 10479 (K(x,y) / (1 / (z * (x * x)))) * K(x,y) = ((z * (x * T(x,y))) \ K(y,x)) \ 1. [para(5084(a,1),8179(a,1,1,2)),flip(a)]. 10480 (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = (((x * T(x,y)) \ z) * K(y,x)) \ 1. [para(6544(a,1),10479(a,2,1))]. 10481 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,(x * (y \ x)) \ 1) * z. [para(8282(a,1),8345(a,2,1))]. 10482 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(227,a,7553,a(flip),b,8514,a(flip)),flip(a)]. 10483 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(227,a,7863,a(flip),b,10482,a(flip)),flip(a)]. 10484 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(227,a,8515,a(flip),b,10483,a(flip))]. 10485 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(227,a,7556,a(flip),b,10484,a)]. 10486 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(5006(a,1),10485(a,1,1))]. 10487 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(227,a,8503,a(flip),b,10486,a)]. 10488 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(227,a,8503,a(flip),b,10487,a(flip)),flip(a)]. 10489 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(227,a,7170,a,b,10488,a(flip)),flip(a)]. 10490 (x * (y \ 1)) * ((((z \ 1) \ 1) \ (x * (y \ 1))) \ 1) = L(z,x \ y,x \ y). [hyper(227,a,1031,a(flip),b,8863,a)]. 10491 (x * (y \ 1)) * (((x * (y \ 1)) \ 1) * (1 / (z \ 1))) = L(z,x \ y,x \ y). [para(1070(a,1),10490(a,1,2))]. 10492 (x * (y \ 1)) * (((y \ 1) \ (x \ 1)) * (1 / (z \ 1))) = L(z,x \ y,x \ y). [para(123(a,1),10491(a,1,2,1))]. 10493 (x * (y \ 1)) * (((y \ 1) \ (x \ 1)) * z) = L(z,x \ y,x \ y). [para(62(a,1),10492(a,1,2,2))]. 10494 L(x,y * (z \ 1),y * (z \ 1)) = L(x,y \ z,y \ z). [hyper(1434,a,10493,a)]. 10495 (K(x \ y,x) * (y * (x \ 1))) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). [hyper(227,a,10184,a(flip),b,8867,a)]. 10496 K(x,T(T(T(x,y) * z,u),w)) != v5 | K(x,T(T(z * T(x,y),u),w)) = v5. [para(8869(a,1),8739(a,1))]. 10497 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(10496,a,8891,a)]. 10498 (((x \ y) * (1 / y)) \ z) * ((1 / u) * w) = ((x \ 1) \ z) * (y * (1 / ((w \ u) * y))). [hyper(227,a,3666,a(flip),b,9463,a)]. 10499 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(227,a,9994,a(flip),b,9606,a)]. 10500 K(a(x,y,z),x) = 1. [hyper(5598,a,10499,a),flip(a)]. 10503 T(a(x,y,z),x) = a(x,y,z). [hyper(37,a,10500,a)]. 10504 a(x,y,z) * x = x * a(x,y,z). [para(10503(a,1),113(a,1,2)),flip(a)]. 10505 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(10401,a,9717,a)]. 10506 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(227,a,10372,a(flip),b,10505,a(flip)),flip(a)]. 10507 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(8150,a,10506,a)]. 10508 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(227,a,9984,a(flip),b,10507,a)]. 10509 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(6168,a,10508,a)]. 10510 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(10401,a,9719,a)]. 10511 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(227,a,10372,a(flip),b,10510,a(flip)),flip(a)]. 10512 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(8300,a,10511,a)]. 10513 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(6168,a,10512,a)]. 10514 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(227,a,9543,a(flip),b,10513,a)]. 10515 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(50(a,1),10514(a,2,1))]. 10516 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(227,a,10509,a(flip),b,10515,a(flip)),flip(a)]. 10517 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(227,a,9984,a,b,10516,a(flip)),flip(a)]. 10518 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(227,a,9541,a,b,10516,a(flip)),flip(a)]. 10519 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(227,a,8483,a(flip),b,10516,a(flip))]. 10520 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(227,a,9543,a,b,10518,a(flip)),flip(a)]. 10521 (x \ 1) * (L(y,x,x) * L(L(y,x,x),z,u)) = (x \ y) * L(y,z,u). [para(1386(a,1),9816(a,2,2,1))]. 10522 (x * ((y \ 1) \ 1)) / ((z \ 1) / (1 / y)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [para(1058(a,1),9877(a,1,1,2))]. 10523 (1 / x) \ (y * (z * K(u \ w,w \ u))) = x / ((y * z) \ K(u \ w,w \ u)). [para(6542(a,1),9899(a,1,2)),flip(a)]. 10524 (1 / x) \ (((((1 / x) * y) * y) * (1 / y)) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [para(3876(a,1),9908(a,1,2,1,1))]. 10525 (x \ y) * (T(y,z) \ 1) = x \ K(z,y). [hyper(2354,a,9909,a)]. 10526 (x \ y) * T(1 / y,z) = x \ K(y \ z,y). [para(5310(a,1),10525(a,1,2))]. 10527 (x \ y) * (K(z,K(1 / y,u)) * (1 / y)) = x \ K(y \ K(z,u),y). [para(7435(a,2),10526(a,1,2))]. 10528 (x \ y) * (K(z,K(y,u \ 1)) * (1 / y)) = x \ K(y \ K(z,u),y). [para(5382(a,1),10527(a,1,2,1,2))]. 10529 (x \ y) * (K(y,K(z,u \ 1)) * (1 / y)) = x \ K(y \ K(z,u),y). [para(7428(a,1),10528(a,1,2,1))]. 10530 (x \ y) * (K(y,K(z,u)) * (1 / y)) = x \ K(y \ K(z,u),y). [para(7450(a,1),10529(a,1,2,1))]. 10531 (x \ y) * (K(y,K(z,u)) / y) = x \ K(y \ K(z,u),y). [para(5757(a,1),10530(a,1,2))]. 10532 (x \ y) * (K(y,K(z,u)) / y) = x \ K(y,y \ K(z,u)). [para(8583(a,1),10531(a,2,2))]. 10533 (x * ((x \ 1) * y)) * (z * (x * ((x \ 1) * y))) = y * (z * y). [para(13(a,1),10057(a,2,2,2))]. 10534 L(x,y,y) * (z * (y * ((y \ 1) * x))) = x * (z * x). [para(1389(a,1),10533(a,1,1))]. 10535 L(x,y,y) * (z * L(x,y,y)) = x * (z * x). [para(1389(a,1),10534(a,1,2,2))]. 10536 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(65(a,1),10446(a,1,1,2)),flip(a)]. 10537 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(8135(a,1),10453(a,1,1))]. 10538 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4958(a,2),10537(a,1,2))]. 10540 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(5596(a,1),10538(a,1,1))]. 10541 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(227,a,6256,a(flip),b,10540,a)]. 10542 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(3077,a,10541,a)]. 10544 K(x \ (y * T(x * K(z,u),w)),u) = K(y * K(x * K(z,u),w),T(u,x)). [para(7078(a,1),10468(a,1,2)),flip(a)]. 10546 (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = K(y,x) \ (((x * T(x,y)) \ z) \ 1). [hyper(227,a,123,a(flip),b,10480,a)]. 10547 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,(y \ x) \ (x \ 1)) * z. [para(123(a,1),10481(a,2,1,2))]. 10548 (x * ((y \ 1) \ 1)) / (z \ (1 / (1 / y))) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [para(318(a,1),10522(a,1,2))]. 10549 (1 / x) \ ((y * ((1 / y) * ((1 / x) * y))) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [para(2043(a,1),10524(a,1,2,1))]. 10550 (K(x,y) / (1 / ((1 / z) * (x * x)))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [hyper(227,a,6443,a(flip),b,10546,a)]. 10551 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K((x / y) * x,x \ (y / x)) * z. [para(8339(a,1),10547(a,2,1))]. 10552 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(x * (y \ x),x \ (y / x)) * z. [para(6344(a,1),10551(a,2,1))]. 10553 (x * ((y \ 1) \ 1)) / (z \ ((y \ 1) \ 1)) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [para(1058(a,1),10548(a,1,2,2))]. 10554 (1 / x) \ (T(y * (1 / x),y) * z) = ((x \ 1) \ 1) / (z \ ((x \ y) \ 1)). [para(2596(a,1),10549(a,1,2,1))]. 10555 ((x \ 1) \ 1) / (y \ ((x \ z) \ 1)) = (z * (y / (1 / x))) * (1 / x). [hyper(1844,a,10554,a),flip(a)]. 10556 ((x \ 1) \ 1) / (y \ ((x \ z) \ 1)) = x / (y \ ((z \ 1) * x)). [hyper(227,a,2792,a(flip),b,10555,a)]. 10557 (1 / ((x \ 1) \ 1)) \ ((x \ y) * z) = x / (z \ ((y \ 1) * x)). [hyper(573,a,10556,a)]. 10558 x / (y \ ((z \ 1) * x)) = (x \ 1) \ ((x \ z) * y). [para(62(a,1),10557(a,1,1)),flip(a)]. 10559 (x * (y / (1 / z))) * (1 / z) = (z \ 1) \ ((z \ x) * y). [hyper(227,a,2792,a,b,10558,a(flip)),flip(a)]. 10561 (x \ 1) \ ((x \ (1 / y)) * z) = x / (z \ (y * x)). [para(65(a,1),10558(a,1,2,2,1)),flip(a)]. 10562 L((x / (y \ (z * x))) \ 1,x,x) = x * ((y / (x \ 1)) \ z). [para(10561(a,1),2863(a,1,1,1))]. 10563 (1 / x) \ ((L(x,x,x) \ y) * z) = (x \ 1) \ ((x \ y) * z). [hyper(227,a,2862,a,b,10559,a(flip)),flip(a)]. 10564 (x * (x / (y \ (z * x)))) \ x = x * ((y / (x \ 1)) \ z). [hyper(1303,a,10562,a)]. 10565 x * ((y / (x \ 1)) \ z) = (y \ (z * x)) / x. [hyper(964,a,10564,a),flip(a)]. 10566 (x \ (y * (1 / z))) / (1 / z) = (1 / z) * ((x / z) \ y). [para(65(a,1),10565(a,1,2,1,2)),flip(a)]. 10567 (x / (((1 / y) \ 1) * (z / (1 / y)))) / (1 / y) = (1 / y) * (((1 / x) / y) \ ((1 / y) / z)). [para(2100(a,2),10566(a,1,1))]. 10568 (K(x,y) \ (z * (1 / (1 / u)))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(y,x)) \ 1) \ z). [para(6495(a,1),10566(a,2,2,1))]. 10569 (1 / (1 / T(x,y \ 1))) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(692(a,1),10563(a,2,2,1))]. 10570 (K(x,y) / ((x * x) \ (1 / (1 / z)))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [para(1010(a,1),10550(a,1,1,2))]. 10571 (1 / (x * ((y \ 1) \ 1))) \ ((y \ 1) * z) = (x / ((T(z,y) \ 1) * (1 / y))) * (1 / y). [hyper(573,a,10553,a)]. 10572 (K(x,y) / ((x * x) \ ((z \ 1) \ 1))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [para(1058(a,1),10570(a,1,1,2,2))]. 10573 ((1 / 1) \ ((x \ 1) / y)) \ ((x \ 1) * z) = (y / ((T(z,x) \ 1) * (1 / x))) * (1 / x). [para(341(a,1),10571(a,1,1))]. 10574 (K(x,y) / (x \ ((z \ x) \ 1))) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [para(3350(a,1),10572(a,1,1,2))]. 10575 ((1 / K(x,y)) \ ((z \ x) * x)) * K(x,y) = K(x,y) * (((x * T(x,y)) \ z) \ 1). [para(340(a,1),10574(a,1,1))]. 10576 K(x,y) * (((x * T(x,y)) \ z) \ 1) = K(x,y) * (((z \ x) * x) * K(x,y)). [hyper(674,a,10575,a),flip(a)]. 10577 K(x,y) * (((x * T(x,y)) \ z) \ 1) = K(x,y) * ((z \ x) * T(x,y)). [para(5918(a,1),10576(a,2,2))]. 10578 ((x * T(x,y)) \ z) \ 1 = (z \ x) * T(x,y). [hyper(353,a,10577,a),flip(a)]. 10580 1 / ((x \ y) * T(y,z)) = (y * T(y,z)) \ x. [para(10578(a,1),62(a,1,2))]. 10581 (x * x) \ (K(y,x) * z) = (x * T(x,y)) \ z. [hyper(227,a,8579,a,b,10580,a(flip)),flip(a)]. 10582 (1 / x) * (T(x,y) \ z) = (x * T(x,y)) \ z. [hyper(227,a,6426,a(flip),b,10581,a(flip)),flip(a)]. 10583 (1 / x) * (T(x,y) \ ((T(x,y) \ (x \ 1)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). [hyper(227,a,3374,a(flip),b,10582,a)]. 10584 ((x \ 1) * T(x \ 1,x * y)) \ z = (1 / (x \ 1)) * ((1 / T(x,y)) \ z). [para(803(a,1),10582(a,1,2,1)),flip(a)]. 10585 ((x * (y \ 1)) * T(x * (y \ 1),y)) \ z = (1 / (x * (y \ 1))) * (((1 / y) * x) \ z). [para(1335(a,1),10582(a,1,2,1)),flip(a)]. 10586 ((x \ 1) * T(x \ 1,x * y)) \ z = x * ((1 / T(x,y)) \ z). [hyper(227,a,133,a(flip),b,10584,a)]. 10588 ((x \ 1) * (1 / T(x,y))) \ z = x * ((1 / T(x,y)) \ z). [para(803(a,1),10586(a,1,1,2))]. 10589 (x \ (T(x,y) \ 1)) \ z = x * ((1 / T(x,y)) \ z). [para(1426(a,1),10588(a,1,1))]. 10590 (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (1 \ ((z \ 1) / x)) \ ((z \ 1) * y). [para(59(a,1),10573(a,1,1,1)),flip(a)]. 10592 (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (1 \ (z \ (1 / x))) \ ((z \ 1) * y). [para(318(a,1),10590(a,2,1,2))]. 10593 (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (z \ (1 / x)) \ ((z \ 1) * y). [para(50(a,1),10592(a,2,1))]. 10594 (x / ((T(y,z) \ 1) * (1 / z))) * (1 / z) = (x * z) / (y \ z). [hyper(227,a,9272,a(flip),b,10593,a)]. 10595 (x / ((1 / y) * (z \ 1))) * (1 / y) = (x * y) / (z \ y). [para(1574(a,1),10594(a,1,1,2))]. 10596 (x / ((1 / y) * z)) * (1 / y) = (x * y) / ((1 / z) \ y). [para(65(a,1),10595(a,1,1,2,2))]. 10597 ((x * (y \ 1)) * T(x * (y \ 1),y)) \ z = (y / x) * (((1 / y) * x) \ z). [para(263(a,1),10585(a,2,1))]. 10598 ((x * (y \ 1)) * ((1 / y) * x)) \ z = (y / x) * (((1 / y) * x) \ z). [para(1335(a,1),10597(a,1,1,2))]. 10599 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(10061(a,1),6646(a,1,1)),flip(a)]. 10600 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(5994(a,1),10599(a,1,2,2))]. 10602 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(227,a,40,a,b,10600,a)]. 10603 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(6420(a,1),10602(a,1,2))]. 10604 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(7606(a,2),10603(a,1,2))]. 10605 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(227,a,6896,a(flip),b,6894,a)]. 10606 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(227,a,6040,a(flip),b,10605,a)]. 10607 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(227,a,10092,a(flip),b,10606,a(flip))]. 10609 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(227,a,7886,a(flip),b,7881,a)]. 10610 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(227,a,10489,a(flip),b,10609,a)]. 10611 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(160(a,1),10610(a,2,2,2))]. 10612 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(227,a,8824,a(flip),b,10611,a(flip)),flip(a)]. 10613 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(13(a,1),10612(a,1,2,2))]. 10614 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(227,a,7055,a(flip),b,10613,a(flip)),flip(a)]. 10618 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(227,a,6658,a(flip),b,10614,a)]. 10619 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(16(a,1),10618(a,1,2,2,1)),flip(a)]. 10620 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(10619(a,1),4996(a,2,2))]. 10621 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(227,a,4996,a,b,10620,a)]. 10622 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(227,a,8002,a(flip),b,10621,a(flip))]. 10623 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(60(a,1),10622(a,1,2,2))]. 10624 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(115(a,1),10623(a,1,2)),flip(a)]. 10625 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(227,a,10607,a(flip),b,10624,a)]. 10626 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(227,a,7075,a(flip),b,10625,a(flip)),flip(a)]. 10627 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),10626(a,1,2,1)),flip(a)]. 10628 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(227,a,9291,a(flip),b,10627,a(flip)),flip(a)]. 10629 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(227,a,7076,a(flip),b,10628,a)]. 10630 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(227,a,9196,a(flip),b,10629,a(flip)),flip(a)]. 10631 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(9023,a,10630,a),flip(a)]. 10632 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(227,a,9550,a(flip),b,10631,a(flip))]. 10633 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(10632(a,1),5794(a,1,2))]. 10634 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8701(a,1),8312(a,1,2))]. 10635 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7434(a,1),10634(a,1,2))]. 10637 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8295(a,1),10635(a,2,1))]. 10638 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(227,a,10329,a(flip),b,10637,a(flip)),flip(a)]. 10639 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10356,a,10638,a)]. 10640 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(10303,a,10639,a)]. 10641 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(6709,a,8411,a),flip(a)]. 10642 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(6506(a,1),8684(a,1,2))]. 10643 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(227,a,7679,a(flip),b,10642,a)]. 10645 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(9006(a,1),10643(a,1,1))]. 10646 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,1),8686(a,1,2,1))]. 10648 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),10646(a,1,2))]. 10649 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(227,a,7799,a(flip),b,10648,a(flip)),flip(a)]. 10650 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(227,a,7313,a(flip),b,10649,a)]. 10653 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),10650(a,2,2,2))]. 10654 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(16(a,1),10650(a,1,1,2)),flip(a)]. 10655 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(2530(a,1),10653(a,1,1,2))]. 10656 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(8777,a,10654,a),flip(a)]. 10657 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(227,a,5681,a(flip),b,10656,a(flip)),flip(a)]. 10658 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(227,a,9028,a(flip),b,10657,a)]. 10660 K(R(L(x,y,x),z,u),w \ L(x,y,x)) != v5 | K(R(x,z,u),w \ x) = v5. [para(10658(a,2),8741(a,1))]. 10661 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(6056,a,10655,a)]. 10663 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(227,a,10478,a(flip),b,10661,a(flip))]. 10664 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(9726(a,1),8939(a,1,1)),flip(a)]. 10665 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(9515,a,10664,a),flip(a)]. 10667 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(6700,a,10665,a)]. 10668 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(38(a,1),10667(a,1,2,2))]. 10669 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(8138(a,1),10667(a,1,1))]. 10670 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(9600(a,1),10667(a,1,1))]. 10671 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7535(a,1),10670(a,1,2))]. 10672 a(x,y / z,x) = a(x,z \ y,x). [hyper(8934,a,10671,a)]. 10674 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(227,a,10042,a(flip),b,10672,a)]. 10675 a(x,(y \ z) \ z,x) = a(x,y,x). [para(62(a,1),10672(a,1,2)),flip(a)]. 10676 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(110(a,2),10672(a,1,2))]. 10677 a(x,T(y,z),x) = a(x,y,x). [para(1962(a,2),10675(a,1,2))]. 10679 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(180(a,1),10677(a,1,2)),flip(a)]. 10680 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(227,a,10679,a(flip),b,10676,a(flip)),flip(a)]. 10681 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(10680(a,2),10237(a,1,2,1)),flip(a)]. 10682 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(10668(a,1),20(a,1))]. 10683 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(227,a,8653,a(flip),b,9051,a(flip)),flip(a)]. 10684 (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * (1 / x),y * (1 / x)) = (x * y) * z. [para(123(a,1),9299(a,1,2,1,1))]. 10685 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(4575(a,1),9305(a,1,2))]. 10686 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(9135(a,1),9306(a,1,2)),flip(a)]. 10687 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(227,a,28,a,b,10686,a)]. 10689 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1047(a,1),10687(a,1,2)),flip(a)]. 10690 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1051(a,1),10687(a,1,2)),flip(a)]. 10691 L(x,1 / y,z) = L(x,y \ 1,z). [para(2167(a,1),10687(a,1,2)),flip(a)]. 10692 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(3099(a,2),10687(a,1,2))]. 10693 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(3566(a,1),10687(a,1,2)),flip(a)]. 10694 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(8116(a,1),10687(a,1,2))]. 10695 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(10690(a,1),100(a,1,2))]. 10696 L(x,((y \ 1) \ 1) \ z,u) = L(x,((z \ 1) * y) \ 1,u). [para(1078(a,1),10691(a,1,2))]. 10697 L(x,(y * (z \ y)) \ 1,u) = L(x,(y \ z) * (1 / y),u). [para(1432(a,1),10691(a,1,2)),flip(a)]. 10698 L(x,1 / ((y / z) \ z),u) = L(x,z \ (1 / (z / y)),u). [para(3436(a,1),10691(a,2,2))]. 10699 L(L(x,y \ 1,L(z,y,y)),z / y,K(L(z,y,y),u)) = L(x,1 / y,T(L(z,y,y),u)). [para(10691(a,1),9683(a,1,1))]. 10700 L(x,K(y \ z,z \ y) * u,w) = L(x,u,w). [para(3444(a,1),10692(a,1,2,1))]. 10701 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(8214(a,1),10692(a,1,2))]. 10702 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(5289(a,1),10693(a,1,2,2)),flip(a)]. 10703 L(x,K(y \ z,z \ y) * u,w) = v5 * (v5 \ L(x,u,w)). [hyper(227,a,14,a,b,10700,a)]. 10704 L(x,((y \ 1) \ 1) \ z,u) = L(x,y \ ((z \ 1) \ 1),u). [para(123(a,1),10696(a,2,2))]. 10705 L(x,(y \ z) \ (z \ 1),u) = L(x,(z \ y) * (1 / z),u). [para(123(a,1),10697(a,1,2))]. 10706 L(x,y \ (1 / (y / z)),u) = L(x,(1 / y) * (z / y),u). [para(313(a,1),10698(a,1,2)),flip(a)]. 10707 L(x,K(y \ z,z \ y) * u,w) != v5 | L(x,u,w) = v5. [para(10703(a,2),154(a,1))]. 10708 L(x,K(y,y \ 1) * z,u) != w | L(x,z,u) = w. [para(50(a,1),10707(a,1,2,1,1))]. 10709 L(x,(y \ 1) \ 1,z) != u | L(x,y,z) = u. [para(2266(a,1),10708(a,1,2))]. 10710 L(x,1 / y,z) != u | L(x,y \ 1,z) = u. [para(2275(a,1),10708(a,1,2))]. 10711 (x / y) \ L(x * (y \ z),y,y) != u | L(z,y \ 1,L(x,y,y)) = u. [para(9555(a,2),10710(a,1))]. 10712 L(x,(1 / y) \ ((z \ 1) \ 1),u) = L(x,(y \ 1) \ z,u). [para(65(a,1),10704(a,1,2,1,1)),flip(a)]. 10713 L(x,y \ (1 / (y / z)),u) = L(x,(y \ z) / y,u). [para(637(a,1),10706(a,2,2))]. 10714 L(x,y / (1 / z),u) = L(x,(y \ 1) \ z,u). [para(1066(a,1),10712(a,1,2))]. 10715 L(x,T(y,(1 / z) \ y),u) = L(x,(((1 / z) * y) \ 1) \ z,u). [para(2499(a,2),10714(a,1,2))]. 10716 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(10695(a,1),19(a,1)),flip(a)]. 10717 L(x,T(y,y * z),u) = L(x,(((1 / z) * y) \ 1) \ z,u). [para(1959(a,1),10715(a,1,2))]. 10718 L(x,T(y,y * z),u) = L(x,(y \ z) \ z,u). [para(250(a,1),10717(a,2,2,1))]. 10719 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6243(a,1),10702(a,1,2,2)),flip(a)]. 10720 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(5983(a,1),9608(a,1,2))]. 10721 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(227,a,8603,a(flip),b,10720,a(flip)),flip(a)]. 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),9647(a,1,2))]. 10723 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9612,a,10722,a)]. 10724 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(9915,a,10723,a)]. 10725 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),10724(a,1,2,1)),flip(a)]. 10726 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(227,a,8173,a(flip),b,10725,a)]. 10727 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(160(a,1),10726(a,1,2)),flip(a)]. 10728 L(K(x,y),z,y * x) = K(x,y). [hyper(227,a,9694,a(flip),b,10727,a(flip))]. 10729 L(K(x,y),z,y * x) = K(x,L(y,x,u)). [hyper(227,a,9694,a,b,10728,a)]. 10730 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10728(a,1),10035(a,1,1))]. 10733 K(x,L(y,x,z)) != u | K(x,y) = u. [para(10729(a,1),360(a,1)),flip(b)]. 10734 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10729(a,2),7312(a,1))]. 10735 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(7316(a,1),10733(a,1))]. 10737 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),x * (u \ w)) = v5. [para(7379(a,1),10735(a,1))]. 10738 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(9921(a,2),10735(a,1))]. 10739 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10730(a,2),240(a,1,2))]. 10741 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(5073,a,10739,a),flip(a)]. 10742 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10739(a,1),5073(a,1))]. 10743 L(L(x,y,z),K(y,z),z * y) != u | L(x,T(y,z),z) = u. [para(10741(a,2),9070(a,1))]. 10744 K(L(x,y,z),u \ (x * w)) != v5 | K(L(x,y,z),x * (u \ w)) = v5. [para(9542(a,1),10737(a,1))]. 10745 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10726(a,1),9648(a,1,2))]. 10747 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(7814,a,10745,a),flip(a)]. 10749 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(73,a,10747,a(flip),b,113,a(flip))]. 10750 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(409,a,10749,a),flip(a)]. 10752 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(10750(a,1),6090(a,1,1)),flip(a)]. 10753 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(10750(a,1),7001(a,1,1))]. 10754 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10750(a,1),7058(a,1,2))]. 10757 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [hyper(5176,a,10752,a)]. 10758 ((x / (y * z)) * y) * z != u | ((x / (z * y)) * y) * T(z,y) = u. [para(10757(a,1),6281(a,1,1))]. 10759 L(x,(y \ z) * (1 / y),(y \ z) * (1 / y)) != u | L(x,y * (z \ y),y * (z \ y)) = u. [para(10705(a,1),9832(a,1))]. 10760 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(113(a,1),10170(a,1,1))]. 10761 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10422(a,1),10427(a,1,2,1))]. 10762 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(6421(a,1),10761(a,1,2))]. 10764 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(227,a,9500,a(flip),b,10641,a)]. 10766 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(227,a,7532,a(flip),b,10764,a)]. 10767 (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * (1 / x),y * (x \ 1)) = (x * y) * z. [para(4922(a,1),10684(a,1,2))]. 10768 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(227,a,9139,a(flip),b,10685,a(flip)),flip(a)]. 10769 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(4661(a,1),10768(a,1,2))]. 10770 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(4666,a,10769,a),flip(a)]. 10772 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1047(a,1),10770(a,1,2)),flip(a)]. 10773 R(x,1 / y,z) = R(x,y \ 1,z). [para(2167(a,1),10770(a,1,2)),flip(a)]. 10774 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10772(a,1),109(a,1,1))]. 10776 R(x,1 / y,(y \ 1) \ (1 / z)) = R(x,y \ 1,y / z). [hyper(227,a,9293,a,b,10773,a(flip)),flip(a)]. 10777 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10773(a,1),4440(a,1,2))]. 10778 R(L(x,y,y),y \ 1,y / z) = ((y / z) \ (y * (1 / x))) \ z. [hyper(227,a,9945,a(flip),b,10776,a(flip))]. 10779 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10774(a,1),20(a,1))]. 10780 L(R(x,y \ 1,y / z),y,y) = ((y / z) \ (y * (1 / x))) \ z. [hyper(227,a,44,a(flip),b,10778,a(flip)),flip(a)]. 10781 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(3736(a,1),10777(a,1,2,1))]. 10782 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(2471(a,1),10781(a,1,2,1)),flip(a)]. 10783 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(y * (z \ 1)) \ (x \ 1)). [hyper(227,a,8154,a(flip),b,6343,a)]. 10784 (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) = (y * z) * ((1 / (y * z)) * K(x,x \ 1)). [para(12(a,1),6722(a,1,2,2)),flip(a)]. 10785 (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) = (y * z) * (x * (1 / ((y * z) * x))). [para(3665(a,1),10784(a,2,2))]. 10786 (x * (1 / ((y * z) * x))) \ (z \ (y \ 1)) != u | K(x \ (y * z),(y * z) \ x) = u. [para(10785(a,2),8598(a,1))]. 10787 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(50(a,1),8309(a,2,1,2,2,1,2))]. 10788 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),10787(a,2,1,2))]. 10789 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(10788(a,2),7649(a,1))]. 10790 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(227,a,10160,a(flip),b,8509,a)]. 10792 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(227,a,5934,a(flip),b,10790,a)]. 10793 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5923(a,1),10792(a,1,2,2))]. 10794 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(10744,a,10793,a)]. 10795 x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(z * u,(z * u) \ 1). [para(339(a,1),9228(a,1,1)),flip(a)]. 10796 x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(z * u,u \ (z \ 1)). [para(123(a,1),10795(a,2,2,2))]. 10797 x / ((1 / (y * (z * u))) \ (u \ (z \ 1))) = (x / y) * K(u \ z,z \ u). [para(8370(a,1),10796(a,2,2))]. 10798 x / ((y * z) \ (((z \ (y \ 1)) \ 1) * u)) = (x / u) * K(z \ y,y \ z). [para(4094(a,1),10797(a,1,2))]. 10799 x / ((1 / (y * z)) * ((z \ (y \ 1)) \ u)) = (x / u) * K(z \ y,y \ z). [para(3496(a,1),10798(a,1,2))]. 10800 x / (K(y \ z,z \ y) * u) = (x / u) * K(y \ z,z \ y). [para(9071(a,1),10799(a,1,2))]. 10801 (x * y) / (L(y \ 1,z,u) / (y \ 1)) = (x / (y \ L(1 / y,z,u))) * (y \ 1). [para(62(a,1),9878(a,1,1,2))]. 10802 (x / (y \ L(1 / y,z,u))) * (y \ 1) = (x * y) / (y * L(y \ 1,z,u)). [para(687(a,1),10801(a,1,2)),flip(a)]. 10803 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9560,a,10017,a),flip(a)]. 10804 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(5439,a,10803,a)]. 10805 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9910,a,10804,a)]. 10806 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(419(a,1),10805(a,1,2,1,2))]. 10807 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(227,a,9934,a(flip),b,10806,a(flip))]. 10808 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(227,a,7376,a(flip),b,10807,a)]. 10809 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(227,a,8162,a,b,10807,a(flip)),flip(a)]. 10810 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10807(a,1),7953(a,1,2,2))]. 10811 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10807(a,1),8160(a,1,1))]. 10812 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(7923,a,10808,a)]. 10813 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5316,a,10810,a),flip(a)]. 10814 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9393,a,10813,a)]. 10815 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(227,a,7242,a(flip),b,10814,a)]. 10816 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10814(a,1),10645(a,1,1,2,2))]. 10817 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10815(a,1),5454(a,1,1,1,2))]. 10818 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(227,a,10809,a(flip),b,10811,a(flip))]. 10819 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(227,a,8099,a(flip),b,10818,a(flip)),flip(a)]. 10820 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(6832,a,10819,a),flip(a)]. 10821 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(227,a,8715,a(flip),b,10820,a)]. 10822 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10821(a,1,2,1)),flip(a)]. 10823 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [para(1195(a,1),10822(a,1,2)),flip(a)]. 10824 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5237,a,10823,a),flip(a)]. 10825 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10824(a,1),6454(a,1,1,2))]. 10826 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6517,a,10825,a),flip(a)]. 10827 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),10826(a,1,1,2)),flip(a)]. 10828 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10827(a,1),9652(a,1,2))]. 10829 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),10828(a,1,2,1))]. 10831 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(142(a,1),10829(a,1,1)),flip(a)]. 10834 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(227,a,5918,a(flip),b,10831,a)]. 10835 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(10834(a,1),62(a,1,2)),flip(a)]. 10836 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6705,a,10817,a),flip(a)]. 10838 L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,z \ (1 / (z / (w \ (u \ z))))). [para(318(a,1),10347(a,2,3))]. 10839 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (y / (x * (z / (1 / x)))) / (1 / x). [para(65(a,1),10567(a,1,1,2,1)),flip(a)]. 10840 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (x * (1 / y)) \ (x / (z / (1 / x))). [hyper(227,a,9865,a(flip),b,10839,a)]. 10842 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (x * (1 / y)) \ (x * (1 / (z * x))). [para(1140(a,1),10840(a,2,2))]. 10843 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = ((1 / y) \ (1 / x)) / z. [hyper(227,a,9268,a(flip),b,10842,a)]. 10844 (1 / x) * (((1 / y) / x) \ ((1 / x) / z)) = (y / x) / z. [para(339(a,1),10843(a,2,1))]. 10845 (1 / x) * ((1 / (x * y)) \ ((1 / x) / z)) = (y / x) / z. [para(325(a,1),10844(a,1,2,1))]. 10846 (1 / x) * ((1 / (x * y)) \ (1 / (z * x))) = (y / x) / z. [para(325(a,1),10845(a,1,2,2))]. 10847 (1 / x) * ((x * y) / (z * x)) = (y / x) / z. [para(339(a,1),10846(a,1,2))]. 10848 L(x,y,z) / (z * y) = (x / y) / z. [hyper(227,a,2669,a,b,10847,a(flip)),flip(a)]. 10850 L(x,y,z) = ((x / y) / z) * (z * y). [para(10848(a,1),16(a,1,1)),flip(a)]. 10851 ((x / y) / z) * (z * y) != u | L(x,y,z) = u. [para(10848(a,1),207(a,1,1)),flip(b)]. 10852 L(x,y,z) / (z * y) != u | (x / y) / z = u. [para(10850(a,2),293(a,1,1)),flip(b)]. 10853 (K(x,y) \ (z * ((u \ 1) \ 1))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(y,x)) \ 1) \ z). [para(1058(a,1),10568(a,1,1,2,2))]. 10854 (1 / x) * (T(x,y) \ ((x \ (T(x,y) \ 1)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). [para(1934(a,1),10583(a,1,2,2,1))]. 10855 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(z / y) * (x \ 1)). [hyper(227,a,6106,a(flip),b,10783,a)]. 10856 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K(x / (z / y),(z / y) / x). [hyper(227,a,6024,a(flip),b,10855,a)]. 10857 (x * (y * (z \ 1))) * (1 / (x * (y * (z \ 1)))) = K((z / y) \ x,x \ (z / y)). [hyper(227,a,4268,a(flip),b,10856,a)]. 10858 (x * (y * (z \ 1))) * ((z / y) / x) = K((z / y) \ x,x \ (z / y)). [para(327(a,1),10857(a,1,2))]. 10859 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ (1 / x),(1 / x) \ (y / z)). [hyper(227,a,4393,a(flip),b,10858,a(flip)),flip(a)]. 10860 L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,z \ (z * ((z \ (1 / w)) / u))). [para(10353(a,1),10838(a,2,3,2))]. 10861 (K(x,y) * (z * ((u \ 1) \ 1))) / (1 / (1 / u)) = (1 / (1 / u)) * (((u \ K(x,y)) \ 1) \ z). [para(6443(a,1),10853(a,1,1))]. 10862 (1 / x) * (T(x,y) \ (x * ((1 / T(x,y)) \ z))) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). [para(10589(a,1),10854(a,1,2,2))]. 10863 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ (1 / x),x * (y / z)). [hyper(227,a,8320,a(flip),b,10859,a)]. 10864 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K(x * (y / z),(x * (y / z)) \ 1). [hyper(227,a,8282,a(flip),b,10863,a)]. 10865 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K(x * (y / z),(y / z) \ (x \ 1)). [hyper(227,a,8154,a(flip),b,10864,a)]. 10866 ((x \ 1) * (1 / (y / z))) * ((z * (y \ 1)) \ x) = K((y / z) \ x,x \ (y / z)). [hyper(227,a,8370,a(flip),b,10865,a)]. 10867 ((x / y) / (1 / z)) \ ((y * (x \ 1)) \ z) = K((x / y) \ z,z \ (x / y)). [hyper(227,a,4372,a(flip),b,10866,a(flip)),flip(a)]. 10868 K((x / y) * z,z \ (y * (x \ 1))) = K((x / y) \ z,z \ (x / y)). [hyper(227,a,10430,a(flip),b,10867,a(flip)),flip(a)]. 10869 L(x,y,(z \ 1) * ((((z \ 1) * u) * w) \ (z \ 1))) = L(x,y,(z \ (1 / w)) / u). [para(13(a,1),10860(a,2,3))]. 10871 L(x,y,(z \ 1) * ((u \ (w \ z)) / z)) = L(x,y,(z \ (1 / u)) / w). [para(10350(a,1),10869(a,1,3,2))]. 10872 L(x,y,(z \ (1 / u)) / w) = L(x,y,(u * z) \ (w \ 1)). [para(1805(a,1),10871(a,1,3)),flip(a)]. 10873 (1 / (K(x,y) * (z * ((u \ 1) \ 1)))) \ (u \ 1) = (1 / (1 / u)) * (((u \ K(x,y)) \ 1) \ z). [hyper(1075,a,10861,a)]. 10874 (1 / x) * (K(y,x) * ((1 / T(x,y)) \ z)) = (x * T(x,y)) * ((1 / (x * T(x,y))) * z). [para(6424(a,1),10862(a,1,2))]. 10875 (x * T(x,y)) * ((1 / (x * T(x,y))) * z) = (1 / x) * ((1 / x) \ z). [para(8541(a,1),10874(a,1,2)),flip(a)]. 10876 (x * T(x,y)) * ((1 / (x * T(x,y))) * z) = z. [hyper(227,a,14,a(flip),b,10875,a)]. 10880 (x * (y * T(y,z))) \ x = y \ (T(y,z) \ 1). [hyper(72,a,10876,a(flip),b,9954,a)]. 10881 x \ (x / (y * T(y,z))) = y \ (T(y,z) \ 1). [hyper(5716,a,10880,a)]. 10882 (x \ (T(x,y) \ 1)) * z = (x * T(x,y)) \ z. [para(10880(a,1),950(a,1,1))]. 10883 x * (y \ (T(y,z) \ 1)) = x / (y * T(y,z)). [para(10881(a,1),14(a,1,2))]. 10884 ((x / y) * T(x / y,y)) \ z = ((x / y) \ ((y \ x) \ 1)) * z. [para(115(a,1),10882(a,1,1,2,1)),flip(a)]. 10885 x * (y \ (y \ K(z,y))) = x / (y * T(y,z)). [para(4963(a,1),10883(a,1,2,2))]. 10886 x * ((y / z) \ ((y / z) \ K(z,y / z))) = x / ((y / z) * (z \ y)). [para(115(a,1),10885(a,2,2,2))]. 10887 ((x / y) \ ((y \ x) \ 1)) * z = ((x / y) * (y \ x)) \ z. [para(115(a,1),10884(a,1,1,2)),flip(a)]. 10888 x * ((y / z) \ ((y / z) \ K(z,z \ y))) = x / ((y / z) * (z \ y)). [para(5085(a,1),10886(a,1,2,2,2))]. 10889 x * ((y / z) \ ((z \ y) \ 1)) = x / ((y / z) * (z \ y)). [para(5271(a,1),10888(a,1,2,2))]. 10890 ((1 / 1) \ (((x \ 1) / y) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). [para(759(a,1),10873(a,1,1))]. 10891 (1 \ (((x \ 1) / y) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). [para(59(a,1),10890(a,1,1,1))]. 10893 (1 \ ((x \ (1 / y)) / K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(z,u)) \ 1) \ y). [para(318(a,1),10891(a,1,1,2,1))]. 10894 (1 \ ((x \ (1 / y)) * K(z,u))) \ (x \ 1) = (1 / (1 / x)) * (((x \ K(u,z)) \ 1) \ y). [para(6497(a,1),10893(a,1,1,2))]. 10895 (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = ((x \ (1 / u)) * K(z,y)) \ (x \ 1). [para(50(a,1),10894(a,1,1)),flip(a)]. 10896 (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ ((1 / u) \ 1)). [hyper(227,a,8892,a(flip),b,10895,a)]. 10897 (1 / (1 / x)) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ u). [para(65(a,1),10896(a,2,2,2))]. 10898 ((x \ 1) \ 1) * (((x \ K(y,z)) \ 1) \ u) = (K(y,z) * x) * (x \ u). [para(1058(a,1),10897(a,1,1))]. 10899 x * (((K(y,z) \ 1) * x) \ u) = (K(y,z) * x) * (x \ u). [hyper(227,a,9956,a(flip),b,10898,a(flip)),flip(a)]. 10900 (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). [para(5084(a,1),10899(a,1,2,1,1)),flip(a)]. 10901 (1 / x) * ((K(y,z) * (1 / x)) \ (K(u,w) * v5)) = (K(z,y) * (1 / x)) * (x / (v5 \ K(w,u))). [para(5112(a,1),10900(a,1,2)),flip(a)]. 10902 (1 / x) * ((K(y,z) * (1 / x)) \ (K(u,w) * v5)) = (K(z,y) / x) * (x / (v5 \ K(w,u))). [para(6452(a,1),10901(a,2,1))]. 10903 (K(x,y) * ((K(z,u) * w) / v5)) * v5 = (K(x,y) / v5) * (v5 / (w \ K(u,z))). [hyper(227,a,6472,a(flip),b,10902,a(flip)),flip(a)]. 10904 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4558(a,1),9176(a,1,1,2))]. 10905 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x * y,x \ 1) \ 1). [para(9283(a,1),9285(a,1,2))]. 10906 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(9137(a,2),9309(a,1,1,1,2))]. 10907 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9737(a,1),10315(a,2,2,1))]. 10909 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(10260(a,1),10907(a,2,2))]. 10910 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(227,a,13,a(flip),b,10909,a)]. 10911 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(5852,a,10910,a),flip(a)]. 10913 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(6429,a,10762,a)]. 10914 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(4558(a,1),10904(a,1,2))]. 10915 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,(x * y) \ 1) * 1). [para(6479(a,1),10905(a,2,3))]. 10916 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(9182(a,1),10906(a,1,1))]. 10917 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(6828,a,10913,a)]. 10918 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(9188,a,10914,a)]. 10919 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,y \ (x \ 1)) * 1). [para(123(a,1),10915(a,2,3,1,2))]. 10920 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(24(a,2),10916(a,1,1,1))]. 10921 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6499,a,10920,a)]. 10922 a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. [para(10920(a,1),3756(a,1)),flip(b)]. 10924 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(227,a,9309,a,b,10921,a(flip)),flip(a)]. 10925 a(x,y,1 / z) = a(x,y,z \ 1). [para(2275(a,1),10921(a,1,3))]. 10926 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(9136(a,1),10921(a,1,3))]. 10927 a(x,y,(z \ u) \ 1) = a(x,y,(1 / u) * z). [para(313(a,1),10925(a,1,3)),flip(a)]. 10928 a(x,y,(1 / z) * u) != w | a(x,y,(z \ 1) * u) = w. [para(3722(a,1),10922(a,1,3))]. 10929 a(x,y,(z \ u) \ 1) != w | a(x,y,(u \ 1) * z) = w. [para(10927(a,2),10928(a,1))]. 10931 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(3087(a,1),10924(a,1,1,1,2,2))]. 10932 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(10931(a,1),10674(a,1,2,2)),flip(a)]. 10933 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(9182(a,1),10918(a,1,1))]. 10934 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = R(z,u,K(x,y \ (x \ 1))). [para(12(a,1),10919(a,2,3))]. 10935 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),10933(a,1,1,1))]. 10936 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6499,a,10935,a)]. 10938 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(3087(a,1),10936(a,1,2))]. 10939 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5818(a,1),5832(a,1,1))]. 10940 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(10939(a,1),8822(a,1,2,2))]. 10941 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(5947(a,1),5960(a,1,1,2,1,1)),flip(a)]. 10942 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(13(a,1),10941(a,2,1,2,1))]. 10943 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(5947(a,1),10942(a,1,1)),flip(a)]. 10944 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(8792,a,10943,a),flip(a)]. 10945 ((x / y) * (T(y \ x,y) \ 1)) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). [para(4963(a,2),6382(a,1,1,2))]. 10946 ((x / y) * T(x \ y,y)) * T(z,K(y,y \ x)) = (K(y,y \ x) * z) * K(y,y \ x). [para(973(a,1),10945(a,1,1,2))]. 10947 ((x / y) * T(x \ y,y)) * T(z,K(x,y)) = (K(y,y \ x) * z) * K(y,y \ x). [para(7695(a,1),10946(a,1,2))]. 10948 (x / y) * (T(y \ x,y) \ T(z,K(x,y))) = (K(y,y \ x) * z) * K(y,y \ x). [hyper(227,a,10435,a(flip),b,10947,a(flip)),flip(a)]. 10949 (x / y) * (T(y \ x,y) \ T(z,K(x,y))) = K(y,y \ x) * (z * K(y,y \ x)). [hyper(227,a,7297,a(flip),b,10948,a)]. 10950 K(x,x \ y) * (z * K(x,x \ y)) = y * (T(T(y,x),x) \ T(z,K(y,x))). [hyper(227,a,9903,a(flip),b,10949,a(flip))]. 10951 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). [hyper(227,a,7491,a(flip),b,7931,a)]. 10952 (x * (y * ((1 / z) * (y * (1 / z))))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). [para(940(a,1),8178(a,1,1,2))]. 10953 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(6443(a,1),8461(a,1,1,1))]. 10954 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10313(a,1),8467(a,1,1))]. 10955 K(x,x \ y) * (((y * (1 / x)) * (y * (1 / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. [para(5348(a,1),8620(a,1,1))]. 10956 K(x,x \ y) * ((y * ((1 / x) * (y * (1 / x)))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. [para(940(a,1),10955(a,1,2,1))]. 10957 K(x,x \ y) * ((y * (x \ (y / x))) \ z) = ((y * (1 / x)) * ((x \ 1) * y)) \ z. [para(3480(a,1),10956(a,1,2,1,2))]. 10958 ((x * (1 / y)) * ((y \ 1) * x)) \ z = ((x / y) * (y \ x)) \ z. [hyper(227,a,9470,a(flip),b,10957,a(flip))]. 10959 ((x / y) * (y \ x)) \ z = (x * (y \ (y \ x))) \ z. [para(2700(a,1),10958(a,1,1)),flip(a)]. 10960 ((x / y) \ ((y \ x) \ 1)) * z = (x * (y \ (y \ x))) \ z. [hyper(227,a,10887,a,b,10959,a(flip)),flip(a)]. 10961 ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = K(y,y \ 1) * ((x \ z) * ((x \ y) * (1 / y))). [hyper(4560,a,9198,a),flip(a)]. 10962 L(x,(y * (1 / y)) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). [para(11(a,1),9264(a,1,2,1,2,2))]. 10963 L(x,K(y,y \ 1) \ z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). [para(2255(a,2),10962(a,1,2,1))]. 10964 L(x,K(y,y \ 1) * z,(z \ y) * (1 / y)) = L(x,(z \ y) * (1 / y),(z \ y) * (1 / y)). [para(6479(a,1),10963(a,1,2))]. 10965 L(x,(y \ z) * (1 / z),(y \ z) * (1 / z)) = L(x,y,(y \ z) * (1 / z)). [hyper(10708,a,10964,a),flip(a)]. 10966 ((((x \ 1) \ (1 / (y \ (1 / z)))) \ x) \ 1) \ (1 / u) = (z * (x * (((x \ y) \ 1) \ 1))) \ (1 / u). [para(1120(a,1),9332(a,1,1,1,1))]. 10967 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(227,a,6890,a(flip),b,9416,a)]. 10968 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(264(a,1),10967(a,2,1,2))]. 10969 L(K(x,y),L(y,z,u),w) = K(x,y). [para(2707(a,1),10968(a,1,2)),flip(a)]. 10970 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(227,a,7235,a(flip),b,10969,a(flip))]. 10971 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (1 / (y * x)) * ((1 / (y * x)) * z). [para(1117(a,1),9434(a,2,2,1))]. 10972 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = ((y * x) \ 1) * (((y * x) \ 1) * z). [hyper(227,a,3823,a(flip),b,10971,a)]. 10973 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (x \ (y \ 1)) * (((y * x) \ 1) * z). [para(123(a,1),10972(a,2,1))]. 10974 ((x \ 1) * (1 / y)) * (((x \ 1) * (1 / y)) * z) = (x \ (y \ 1)) * ((x \ (y \ 1)) * z). [para(123(a,1),10973(a,2,2,1))]. 10975 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5747(a,1),9485(a,1,1))]. 10976 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(825,a,10975,a),flip(a)]. 10977 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(10975(a,1),825(a,1))]. 10978 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5788(a,1),10976(a,1,2)),flip(a)]. 10979 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(62(a,1),9768(a,1,2,1)),flip(a)]. 10981 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(6555(a,2),10979(a,2,2))]. 10982 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(227,a,6601,a(flip),b,10981,a)]. 10983 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(227,a,7733,a(flip),b,10982,a(flip))]. 10985 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(10983(a,2),7742(a,1))]. 10986 (x * ((1 / (y * x)) * K(z \ u,u \ z))) * w = x * (1 / ((w \ (K(z \ u,u \ z) * y)) * x)). [para(10800(a,1),9890(a,1,1,2))]. 10987 (K(x \ y,y \ x) / T(z,u \ (w \ 1))) \ (w * u) = ((w * u) * z) * K(x \ y,y \ x). [para(3455(a,1),9901(a,1,1))]. 10988 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(227,a,10357,a(flip),b,9922,a(flip)),flip(a)]. 10989 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10738,a,10988,a)]. 10990 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(227,a,10812,a(flip),b,10989,a(flip)),flip(a)]. 10991 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),10990(a,1,2,2,1))]. 10992 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(227,a,9164,a(flip),b,10991,a)]. 10993 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(227,a,10836,a(flip),b,10992,a)]. 10994 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),10993(a,2,2,2,1))]. 10995 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(7304,a,9980,a),flip(a)]. 10997 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(227,a,8494,a(flip),b,10995,a)]. 10998 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(13(a,1),10997(a,2,2,1,1))]. 11000 K(x,((y * x) * z) / ((u * y) * z)) != w | K(R(x,y,z),u \ x) = w. [para(10998(a,1),10660(a,1))]. 11001 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(8188(a,1),10025(a,1,1))]. 11002 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10281(a,1),10284(a,2,2,1,1))]. 11003 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5084(a,1),11002(a,2,2,1))]. 11005 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5084(a,1),11003(a,1,1,2,1))]. 11006 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(227,a,6473,a(flip),b,11005,a(flip)),flip(a)]. 11007 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(11005(a,1),493(a,1,1,1)),flip(a)]. 11008 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(11005(a,2),10159(a,1,1))]. 11010 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7399(a,1),11008(a,1,1,1,2,1))]. 11011 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),10536(a,2,2,2,1,1,2))]. 11012 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),11011(a,1,2))]. 11013 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11012(a,1),10370(a,1,1))]. 11014 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6301,a,11013,a)]. 11015 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10754,a,11014,a),flip(a)]. 11016 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10108,a,11015,a),flip(a)]. 11017 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(227,a,8629,a(flip),b,11015,a(flip)),flip(a)]. 11018 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11017(a,1),4996(a,2,2)),flip(a)]. 11019 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),11016(a,1,2,2,2)),flip(a)]. 11020 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),11019(a,2,2))]. 11022 K(x,R(y,x,z)) = K(x,y). [hyper(10734,a,11020,a),flip(a)]. 11023 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10081,a,11020,a)]. 11024 K(x,R(y,x,z)) != u | K(x,y) = u. [para(11020(a,1),10734(a,1))]. 11026 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(227,a,10074,a(flip),b,11022,a(flip)),flip(a)]. 11027 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(227,a,7971,a(flip),b,11022,a(flip)),flip(a)]. 11028 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),11022(a,1,2))]. 11029 T(x,R(y,x,z)) = x * K(x,y). [para(11022(a,1),4996(a,2,2))]. 11030 T(x,R(y,x,z)) = T(x,y). [hyper(227,a,4996,a,b,11029,a)]. 11035 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(521(a,1),11030(a,1,2))]. 11036 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(8843(a,2),11024(a,1))]. 11037 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6316,a,11027,a)]. 11038 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10754,a,11026,a)]. 11040 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(227,a,11014,a(flip),b,11026,a(flip)),flip(a)]. 11041 K(x,x \ ((x * y) / z)) = K(x,y / z). [hyper(227,a,8005,a(flip),b,11026,a(flip))]. 11042 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(10753,a,11037,a)]. 11043 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11038(a,1),11018(a,1,2))]. 11044 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(1786(a,1),11041(a,1,2,2))]. 11045 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(227,a,7975,a,b,11028,a(flip)),flip(a)]. 11046 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11023(a,1),503(a,1,1))]. 11047 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(227,a,8628,a(flip),b,11040,a(flip))]. 11048 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(227,a,11041,a(flip),b,11047,a(flip))]. 11049 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11048(a,1),8042(a,1))]. 11050 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5001,a,11043,a),flip(a)]. 11051 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11022(a,1),11045(a,1,1))]. 11053 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(227,a,8966,a(flip),b,11046,a(flip))]. 11054 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5061(a,1),11053(a,2,1))]. 11055 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(227,a,10015,a(flip),b,11054,a(flip)),flip(a)]. 11056 L(x,K(y,z),z * y) = x. [hyper(1155,a,11055,a)]. 11057 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(72,a,14,a(flip),b,11055,a),flip(a)]. 11058 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(227,a,10730,a,b,11055,a(flip)),flip(a)]. 11060 L(x,T(y,z),z) = L(x,y,z). [hyper(10743,a,11056,a)]. 11061 L(x,y * z,K(z,y)) = x. [hyper(10742,a,11056,a)]. 11063 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(227,a,9069,a(flip),b,11061,a(flip))]. 11064 L(x,T(y,z) * z,K(z,y)) = x. [para(5086(a,1),11061(a,1,3))]. 11065 L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). [hyper(227,a,11061,a,b,11060,a),flip(a)]. 11066 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(227,a,10604,a(flip),b,11060,a(flip))]. 11067 L(x \ 1,y,x) = (y * x) \ y. [hyper(227,a,1699,a(flip),b,11060,a(flip))]. 11070 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11060(a,1),471(a,1,2))]. 11072 L(x,y,T(z,y)) = L(x,y,z). [hyper(10437,a,11064,a),flip(a)]. 11073 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(11064(a,1),10437(a,1))]. 11075 L(x,y,z / y) = L(x,y,y \ z). [para(115(a,1),11072(a,1,3)),flip(a)]. 11077 L(x,y,y * (z \ 1)) = L(x,y,z \ y). [para(1201(a,1),11072(a,1,3)),flip(a)]. 11079 L(x \ 1,y,x) * z = L(x \ 1,x,y) * z. [para(11067(a,2),376(a,2,1)),flip(a)]. 11080 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(227,a,482,a(flip),b,11075,a(flip))]. 11081 x * L(y,z,z \ x) = (x / z) * (z * y). [para(11075(a,1),462(a,1,2))]. 11082 L(x,y * z,(y * (1 / (u * y))) / (y * z)) = L(x,y * z,(z \ (1 / y)) / u). [para(9268(a,1),11075(a,2,3))]. 11083 L(x,y,y \ z) != u | L(x,y,z / y) = u. [para(115(a,1),11073(a,1,3))]. 11088 (x * R(y,z,y)) \ ((y * x) * y) != u | L(T(y,x),z,y) = u. [para(10294(a,1),11073(a,1))]. 11089 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(588,a,11058,a)]. 11090 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),11058(a,1,2,1))]. 11092 (x * y) \ (T(x,y) * z) = (y * x) \ (x * z). [para(5795(a,1),11089(a,1,2))]. 11093 (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). [para(5830(a,1),11089(a,1,2))]. 11095 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11063(a,2),62(a,1,2))]. 11096 L(x,y,y \ x) = x. [hyper(17,a,936,a(flip),b,11081,a)]. 11097 x \ ((x / y) * (y * z)) != u | L(z,y,y \ x) = u. [para(11081(a,1),282(a,1,2)),flip(b)]. 11098 L(x * y,x,y) = x * y. [para(13(a,1),11096(a,1,3))]. 11099 x * (L(y \ 1,z,y) * u) = x * (L(y \ 1,y,z) * u). [hyper(21,a,11079,a)]. 11101 (((x \ y) * x) * (x \ 1)) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). [para(11090(a,1),10495(a,1,1))]. 11102 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(11065(a,1),4585(a,1)),flip(b)]. 11103 L(T(x,y),z,T(x,u)) != w | L(T(x,y),z,x) = w. [para(10294(a,2),11088(a,1))]. 11104 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(227,a,9710,a(flip),b,11044,a(flip))]. 11105 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11104(a,2),7750(a,1))]. 11106 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(1955(a,1),11093(a,1,2))]. 11107 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(109(a,1),11106(a,2,2))]. 11108 L(x \ y,x,x) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). [para(1028(a,1),11101(a,1,1))]. 11109 ((1 / x) * y) / (1 / (y * (x \ 1))) = (x \ y) * (y / x). [para(1020(a,1),11108(a,1,1))]. 11110 ((1 / x) * y) / (x / y) = (x \ y) * (y / x). [para(263(a,1),11109(a,1,2))]. 11111 1 / ((x / y) * (y \ x)) = (x \ y) * (y / x). [hyper(578,a,11110,a)]. 11112 (x / y) \ ((y \ x) \ 1) = (x \ y) * (y / x). [hyper(70,a,11111,a(flip),b,10889,a)]. 11113 (x * (y \ (y \ x))) \ z = ((x \ y) * (y / x)) * z. [para(11112(a,1),10960(a,1,1)),flip(a)]. 11114 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(227,a,42,a,b,11035,a(flip)),flip(a)]. 11115 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(227,a,1952,a(flip),b,11114,a)]. 11116 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(227,a,42,a,b,11115,a)]. 11117 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11050(a,1),11116(a,1,1))]. 11118 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),11117(a,1,1,2,2)),flip(a)]. 11119 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(598,a,11118,a),flip(a)]. 11120 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11118(a,1),6533(a,1,2,1))]. 11121 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(227,a,1910,a(flip),b,11119,a(flip)),flip(a)]. 11122 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),11119(a,1,1,2)),flip(a)]. 11123 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(709(a,1),11119(a,1,1)),flip(a)]. 11127 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5458(a,1),11121(a,2,1))]. 11130 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11123(a,1),10013(a,1,2,1)),flip(a)]. 11131 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(2301(a,1),11122(a,1,1)),flip(a)]. 11132 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(227,a,173,a(flip),b,11131,a)]. 11133 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),11132(a,2,1))]. 11134 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(227,a,836,a(flip),b,11133,a)]. 11135 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11134(a,1),4966(a,1,1))]. 11136 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5225,a,11135,a),flip(a)]. 11137 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(6168,a,11136,a)]. 11138 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(227,a,9972,a,b,11137,a)]. 11139 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(8635,a,11120,a),flip(a)]. 11143 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11139(a,1),5160(a,1,1,2))]. 11144 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(227,a,6809,a(flip),b,11127,a)]. 11145 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6806(a,1),11144(a,1,1)),flip(a)]. 11146 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11145(a,1),10261(a,1,2))]. 11147 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5449(a,1),11143(a,1,1))]. 11148 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(227,a,42,a,b,11147,a(flip)),flip(a)]. 11149 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5160(a,1),11148(a,1,1)),flip(a)]. 11150 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(227,a,44,a(flip),b,11149,a)]. 11151 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11150(a,1),2338(a,1,1,1)),flip(a)]. 11152 (x * (y * (z \ (y / z)))) * K(y * (1 / z),z) = x * ((y * (1 / z)) * ((z \ 1) * y)). [para(3480(a,1),10952(a,1,1,2,2))]. 11153 (x * (y * (z \ (y / z)))) * K(z \ y,z) = x * ((y * (1 / z)) * ((z \ 1) * y)). [para(4804(a,1),11152(a,1,2))]. 11154 x * ((y * (1 / z)) * ((z \ 1) * y)) = x * ((y / z) * (z \ y)). [hyper(227,a,9468,a(flip),b,11153,a(flip))]. 11155 x * ((y / z) * (z \ y)) = x * (y * (z \ (z \ y))). [para(2700(a,1),11154(a,1,2)),flip(a)]. 11156 (x / y) * (y \ x) = x * (y \ (y \ x)). [hyper(353,a,11155,a),flip(a)]. 11157 (x \ y) * (y / x) = y * (x \ (x \ y)). [hyper(8218,a,11156,a)]. 11158 (x * (y \ 1)) * ((1 / y) * x) = x * (y \ (y \ x)). [hyper(227,a,8224,a,b,11157,a(flip)),flip(a)]. 11159 (x * (y \ (y \ x))) \ ((y \ x) * ((x / y) * z)) != u | L(z,x / y,y \ x) = u. [para(11157(a,1),474(a,1,1))]. 11160 (x * (y \ (y \ x))) \ z = (y * (x \ (x \ y))) * z. [para(11157(a,1),11113(a,2,1))]. 11161 (x / y) * (((1 / x) * y) \ z) = (y * (x \ (x \ y))) \ z. [para(11158(a,1),10598(a,1,1)),flip(a)]. 11162 (x / y) * (((1 / x) * y) \ z) = (x * (y \ (y \ x))) * z. [hyper(227,a,11160,a(flip),b,11161,a)]. 11163 (x * ((y / x) \ ((y / x) \ x))) * z = (x / (y / x)) * (((x \ y) / x) \ z). [para(637(a,1),11162(a,1,2,1)),flip(a)]. 11164 (x * ((y / x) \ ((y / x) \ x))) * z = (x * (x / y)) * (((x \ y) / x) \ z). [para(947(a,1),11163(a,2,1))]. 11165 (x * (y \ (y \ x))) * ((x \ y) * ((y / x) * z)) = L(z,y / x,x \ y). [hyper(11159,a,11160,a),flip(a)]. 11166 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(3267(a,1),10953(a,1,1,2)),flip(a)]. 11167 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(5130(a,1),11166(a,2,1))]. 11168 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(227,a,7888,a,b,11167,a)]. 11169 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(3268(a,1),11168(a,1,1,1))]. 11170 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(6443(a,1),11169(a,1,1))]. 11171 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(227,a,10359,a(flip),b,11170,a(flip))]. 11172 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7490(a,1),11171(a,1,1)),flip(a)]. 11173 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(227,a,10288,a(flip),b,10954,a(flip))]. 11174 ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = (x \ z) * (x \ 1). [hyper(227,a,9191,a(flip),b,10961,a)]. 11176 ((x \ y) * (1 / y)) * (z * ((x \ y) * (1 / y))) = x \ (z / x). [hyper(227,a,1257,a(flip),b,11174,a)]. 11177 ((((x \ 1) \ ((1 / (1 / y)) * z)) \ x) \ 1) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). [para(313(a,1),10966(a,1,1,1,1,2))]. 11178 x * (1 / ((y \ (K(z \ u,u \ z) * w)) * x)) = (x * (K(z \ u,u \ z) / (w * x))) * y. [para(3455(a,1),10986(a,1,1,2)),flip(a)]. 11179 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7515(a,1),11001(a,1,1,2))]. 11180 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8413,a,11179,a),flip(a)]. 11181 R(K(x,y),L(y,z,u),w) = K(x,y). [para(8409(a,1),11180(a,1,1))]. 11182 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(227,a,7201,a(flip),b,11181,a(flip)),flip(a)]. 11184 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(227,a,5441,a(flip),b,11182,a)]. 11185 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(227,a,10766,a,b,11184,a(flip)),flip(a)]. 11186 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11185(a,1),7743(a,1))]. 11187 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(2537(a,1),11146(a,1,2,1)),flip(a)]. 11188 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(6559(a,1),11173(a,2,2,1))]. 11189 ((((x \ 1) \ (((y \ 1) \ 1) * z)) \ x) \ 1) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). [para(1058(a,1),11177(a,1,1,1,1,2,1))]. 11190 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),11188(a,2,2))]. 11191 ((((((x \ 1) \ 1) * y) \ z) * (1 / z)) \ 1) \ (1 / u) = (x * (z * (((z \ y) \ 1) \ 1))) \ (1 / u). [para(2113(a,1),11189(a,1,1,1))]. 11192 ((1 / x) \ (((((y \ 1) \ 1) * z) \ x) \ 1)) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). [para(123(a,1),11191(a,1,1))]. 11193 (x * (((x \ (((y \ 1) \ 1) * z)) \ 1) \ 1)) \ (1 / u) = (y * (x * (((x \ z) \ 1) \ 1))) \ (1 / u). [para(3825(a,1),11192(a,1,1))]. 11194 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),6907(a,1,1,1)),flip(a)]. 11196 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10285(a,1),11194(a,1,2,1)),flip(a)]. 11198 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11196(a,1),6807(a,1,2,2))]. 11199 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(6427(a,1),11198(a,1,2)),flip(a)]. 11200 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(227,a,6396,a(flip),b,11199,a)]. 11202 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(227,a,6444,a(flip),b,11200,a)]. 11204 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6795(a,1),11202(a,1,2))]. 11205 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6706,a,7212,a),flip(a)]. 11206 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5156(a,1),11205(a,1,2)),flip(a)]. 11207 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(2808(a,2),8931(a,1,2,2))]. 11208 ((x \ 1) \ K(y,z)) \ ((x * (K(y,z) * (u / x))) * x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). [para(6443(a,1),9255(a,1,2,1,2))]. 11209 ((x \ y) \ 1) * L((y * (x \ 1)) \ y,z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [para(1301(a,1),9817(a,1,2,1))]. 11210 ((x \ y) \ 1) * L(y * ((x \ y) \ 1),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [para(1220(a,1),11209(a,1,2,1))]. 11211 (x \ y) \ L(y / (x \ y),z,u) = (y \ 1) * (((x \ 1) \ 1) * L((x \ 1) \ 1,z,u)). [hyper(227,a,1694,a(flip),b,11210,a(flip)),flip(a)]. 11212 (x \ 1) * (((y \ 1) \ 1) * L((y \ 1) \ 1,z,u)) = (y \ x) \ L(y,z,u). [para(62(a,1),11211(a,1,2,1)),flip(a)]. 11213 (x \ 1) * ((y \ 1) \ L(1 / (y \ 1),z,u)) = (y \ x) \ L(y,z,u). [para(1738(a,1),11212(a,1,2))]. 11214 (x \ 1) * ((y \ 1) \ L(y,z,u)) = (y \ x) \ L(y,z,u). [para(62(a,1),11213(a,1,2,2,1))]. 11215 (x \ 1) * (y * L(y,z,u)) = (y \ x) \ L(y,z,u). [para(9278(a,1),11214(a,1,2))]. 11216 (1 / (x * L(x,y,z))) / (u \ 1) = 1 / ((x \ u) \ L(x,y,z)). [para(11215(a,1),325(a,2,2))]. 11217 x * ((y \ x) \ L(y,z,u)) = L(y * L(y,z,u),x,x). [para(11215(a,1),1389(a,1,2))]. 11218 ((x * y) \ x) \ L((1 / 1) \ L(y,x,x),z,u) = L(y * L(y,z,u),x,x). [hyper(227,a,4308,a,b,11217,a(flip)),flip(a)]. 11219 ((x \ y) * (y \ 1)) \ (L(x,z,u) * y) = L(x * L(x,z,u),y,y) * y. [para(11217(a,1),9256(a,2,1))]. 11220 (x \ (L(x,y,z) \ 1)) / (u \ 1) = 1 / ((x \ u) \ L(x,y,z)). [para(9276(a,1),11216(a,1,1))]. 11221 (1 / (x \ (L(x,y,z) \ 1))) \ u = 1 / ((x \ u) \ L(x,y,z)). [hyper(334,a,11220,a)]. 11222 ((1 / 1) \ (L(x,y,z) * x)) \ u = 1 / ((x \ u) \ L(x,y,z)). [para(340(a,1),11221(a,1,1))]. 11223 1 / ((x \ y) \ L(x,z,u)) = (1 \ (L(x,z,u) * x)) \ y. [para(59(a,1),11222(a,1,1,1)),flip(a)]. 11225 1 / ((x \ y) \ L(x,z,u)) = (1 \ (x * L(x,z,u))) \ y. [para(265(a,1),11223(a,2,1,2))]. 11226 1 / ((x \ y) \ L(x,z,u)) = (x * L(x,z,u)) \ y. [para(50(a,1),11225(a,2,1))]. 11227 (1 / L(x,y,z)) * (x \ u) = (x * L(x,y,z)) \ u. [hyper(316,a,11226,a)]. 11228 (x \ 1) * (((x * L(x,y,z)) \ 1) \ u) = ((1 / L(x,y,z)) \ (u / x)) * x. [para(11227(a,1),9249(a,1,2,1))]. 11229 L(x * L(x,y,z),u,u) * u = (x \ 1) \ (L(x,y,z) * u). [para(124(a,1),11219(a,1,1)),flip(a)]. 11230 (1 / (x * L(x,y,z))) \ u = (x \ 1) \ (L(x,y,z) * u). [hyper(1307,a,11229,a)]. 11232 (x \ (L(x,y,z) \ 1)) \ u = (x \ 1) \ (L(x,y,z) * u). [para(9276(a,1),11230(a,1,1))]. 11233 ((x * y) \ x) \ L(1 \ L(y,x,x),z,u) = L(y * L(y,z,u),x,x). [para(59(a,1),11218(a,1,2,1,1))]. 11234 ((x * y) \ x) \ L(L(y,x,x),z,u) = L(y * L(y,z,u),x,x). [para(50(a,1),11233(a,1,2,1))]. 11236 L(x,y,y) * L(L(x,y,y),z,u) = L(x * L(x,z,u),y,y). [hyper(227,a,9279,a(flip),b,11234,a(flip)),flip(a)]. 11237 (x \ 1) * L(y * L(y,z,u),x,x) = (x \ y) * L(y,z,u). [para(11236(a,1),10521(a,1,2))]. 11238 x \ (y * L(y,z,u)) = (x \ y) * L(y,z,u). [hyper(1350,a,11237,a)]. 11239 (x \ ((1 / x) \ (y * L(y,z,u)))) / x = y * (L(y,z,u) / x). [para(11238(a,2),1506(a,1,1,2))]. 11240 (x \ (1 / y)) * L(1 / y,z,z) = x \ (y \ (z \ (z / y))). [para(9132(a,1),11238(a,1,2)),flip(a)]. 11241 x / (y * (((y \ 1) \ 1) * x)) = x * (x \ (y \ (x \ (x / y)))). [para(11240(a,1),3974(a,1,2)),flip(a)]. 11242 L(x * L(x,y,z),u,u) / u = x * (L(x,y,z) / u). [para(1364(a,1),11239(a,1,1))]. 11243 (x * (L(x,y,z) / u)) * u = L(x * L(x,y,z),u,u). [para(11242(a,1),16(a,1,1))]. 11244 x / (y * (((y \ 1) \ 1) * x)) = y \ (x \ (x / y)). [hyper(227,a,14,a(flip),b,11241,a)]. 11247 (x \ 1) * ((x \ (L(x,y,z) \ 1)) \ u) = ((1 / L(x,y,z)) \ (u / x)) * x. [para(447(a,1),11228(a,1,2,1))]. 11248 (x \ 1) * ((x \ 1) \ (L(x,y,z) * u)) = ((1 / L(x,y,z)) \ (u / x)) * x. [para(11232(a,1),11247(a,1,2))]. 11249 ((1 / L(x,y,z)) \ (u / x)) * x = L(x,y,z) * u. [hyper(205,a,11248,a)]. 11251 (x / L(x,y,z)) \ (x * u) = L(x,y,z) * u. [hyper(227,a,9863,a(flip),b,11249,a(flip)),flip(a)]. 11252 (L(x,y,z) \ x) \ (x * u) = L(x,y,z) * u. [para(4483(a,1),11251(a,1,1))]. 11253 x \ ((L(x,y,z) \ x) * u) = L(x,y,z) \ u. [hyper(565,a,11252,a),flip(a)]. 11254 (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). [para(14(a,1),11252(a,1,2))]. 11255 x \ ((y / x) \ L(x,z,u)) = (L(x,z,u) \ y) \ 1. [para(11253(a,1),4485(a,1,1)),flip(a)]. 11256 (L(x,y,z) \ x) \ (L(x,y,z) \ u) = x \ u. [hyper(227,a,2393,a(flip),b,11254,a)]. 11257 (L(x,y,z) \ x) * (x \ u) = L(x,y,z) \ u. [para(11256(a,1),14(a,1,2))]. 11258 L(x,y,z) \ (x * u) = (L(x,y,z) \ x) * u. [para(13(a,1),11257(a,1,2)),flip(a)]. 11259 x * ((L(x,y,z) \ u) \ 1) != w | (u / x) \ L(x,y,z) = w. [para(11255(a,1),205(a,1,2)),flip(b)]. 11260 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(8915(a,1),10257(a,1,1,1))]. 11261 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(502(a,1),11260(a,1,1))]. 11262 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10445(a,1),10669(a,1,1)),flip(a)]. 11263 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(6560(a,1),11262(a,2,2))]. 11265 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(227,a,10911,a(flip),b,11263,a(flip))]. 11267 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(38(a,1),11265(a,1,1,2))]. 11268 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(227,a,10677,a,b,11267,a),flip(a)]. 11269 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(10682,a,11268,a)]. 11270 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(227,a,6555,a(flip),b,11269,a)]. 11272 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(7510(a,2),11270(a,2,1)),flip(a)]. 11273 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5301(a,2),11272(a,1,1,1))]. 11274 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(9496,a,10932,a)]. 11275 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(227,a,2338,a(flip),b,11151,a)]. 11276 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(42(a,2),11275(a,2,3))]. 11277 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(100(a,1),11207(a,1,2)),flip(a)]. 11278 ((x \ 1) \ K(y,z)) \ L((x * K(y,z)) * u,x,x) = L(u,K(z,y) * (x \ 1),K(z,y) * (x \ 1)). [para(6656(a,1),11208(a,1,2))]. 11279 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4433(a,2),4658(a,1,1))]. 11280 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1904(a,1),5484(a,2,1))]. 11281 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(227,a,11280,a(flip),b,5485,a(flip))]. 11282 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1904(a,1),11281(a,1,1)),flip(a)]. 11283 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11282(a,1),8897(a,1,1,1,1))]. 11284 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(7180(a,2),11283(a,1,1))]. 11285 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7631,a,11284,a)]. 11286 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(8389,a,11285,a)]. 11287 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),11286(a,1,2,2)),flip(a)]. 11288 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11287(a,1),7420(a,1))]. 11289 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (((y * x) * (1 / (y * x))) \ u) * K(z,z \ 1). [para(12(a,1),9460(a,1,1,1,2)),flip(a)]. 11290 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y * x,(y * x) \ 1) \ u) * K(z,z \ 1). [para(2255(a,2),11289(a,2,1,1))]. 11291 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y * x,x \ (y \ 1)) \ u) * K(z,z \ 1). [para(123(a,1),11290(a,2,1,1,2))]. 11292 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(x \ y,y \ x) \ u) * K(z,z \ 1). [para(8370(a,1),11291(a,2,1,1))]. 11293 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = (K(y \ x,x \ y) * u) * K(z,z \ 1). [para(6443(a,1),11292(a,2,1))]. 11294 ((((x \ (y \ 1)) * (y * x)) \ z) * (1 / z)) \ u = K(y \ x,x \ y) * (K(z,z \ 1) * u). [hyper(227,a,9123,a(flip),b,11293,a)]. 11295 ((K(x \ y,y \ x) \ z) * (1 / z)) \ u = K(y \ x,x \ y) * (K(z,z \ 1) * u). [para(8391(a,1),11294(a,1,1,1,1))]. 11296 K((x \ 1) \ y,y \ (x \ 1)) * K(z,z \ 1) = (((x \ z) * (1 / z)) \ y) * (1 / ((x \ 1) \ y)). [para(3526(a,1),9478(a,1,1))]. 11297 (((x \ y) * (1 / y)) \ z) * (1 / ((x \ 1) \ z)) = K(x * z,z \ (x \ 1)) * K(y,y \ 1). [para(3458(a,1),11296(a,1,1)),flip(a)]. 11298 (((x \ y) * (1 / y)) \ z) * (1 / ((x \ 1) \ z)) = K(z \ x,x \ z) * K(y,y \ 1). [para(8370(a,1),11297(a,2,1))]. 11299 (((x \ y) * (1 / y)) \ z) * ((1 / z) * (x \ 1)) = K(z \ x,x \ z) * K(y,y \ 1). [para(313(a,1),11298(a,1,2))]. 11300 ((x \ 1) \ y) * (z * (1 / (((x \ 1) \ y) * z))) = K(y \ x,x \ y) * K(z,z \ 1). [hyper(227,a,10498,a(flip),b,11299,a(flip)),flip(a)]. 11301 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = (z * (((z \ (y / x)) \ 1) \ 1)) * (x * (y \ 1)). [para(9326(a,1),9479(a,2,1))]. 11302 (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (x * u) / ((z * (1 / (y * z))) / (u \ 1)). [para(62(a,1),9879(a,1,1,2)),flip(a)]. 11303 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(8170,a,10683,a),flip(a)]. 11304 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((x * (y \ 1)) \ (1 / (y / x))) * z)). [hyper(227,a,9889,a(flip),b,11301,a)]. 11305 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(227,a,10994,a(flip),b,11303,a)]. 11306 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(227,a,10794,a(flip),b,11305,a)]. 11308 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2960(a,1),11306(a,1,2))]. 11309 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11308(a,1),6454(a,1,1,2)),flip(a)]. 11310 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(227,a,6454,a(flip),b,11309,a)]. 11311 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11310(a,1),7197(a,1,1,2))]. 11312 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(9983(a,1),11311(a,1,1,2))]. 11313 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(50(a,1),11312(a,1,1,2,1,2))]. 11314 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5447(a,1),11313(a,1,1))]. 11315 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(227,a,40,a,b,11314,a(flip)),flip(a)]. 11316 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5322(a,1),11315(a,1,1)),flip(a)]. 11317 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(2533,a,11316,a)]. 11318 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11317(a,1),469(a,1,2))]. 11319 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11317(a,1),6056(a,1,2))]. 11320 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10663(a,1),11319(a,1))]. 11321 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(456,a,11318,a),flip(a)]. 11322 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(353,a,11321,a),flip(a)]. 11324 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(227,a,5157,a,b,11322,a),flip(a)]. 11327 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11322(a,1),10171(a,1,2,2)),flip(a)]. 11328 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11138(a,1),11324(a,1,1,2))]. 11329 K(x * L(y,z,u),y) = K(y * x,y). [hyper(227,a,6610,a(flip),b,11327,a)]. 11331 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(8301,a,11329,a)]. 11332 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(227,a,8921,a,b,11329,a)]. 11334 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(227,a,7322,a(flip),b,11329,a(flip))]. 11336 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(227,a,7360,a(flip),b,11334,a(flip)),flip(a)]. 11338 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(7745,a,11336,a)]. 11339 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [para(1042(a,1),11336(a,1,1,1))]. 11340 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(227,a,5091,a(flip),b,11331,a)]. 11341 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11186,a,11340,a)]. 11342 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(227,a,10970,a(flip),b,11340,a(flip)),flip(a)]. 11343 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11340(a,1),9651(a,1,1,2))]. 11344 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10337,a,11332,a)]. 11345 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11344(a,2),10258(a,2,2))]. 11347 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(227,a,9741,a(flip),b,11339,a(flip)),flip(a)]. 11349 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),11347(a,1,1,2,1)),flip(a)]. 11351 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(227,a,6010,a(flip),b,11342,a)]. 11352 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11322(a,2),11345(a,1,2))]. 11353 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(100(a,1),11351(a,1,1,2))]. 11354 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(227,a,7182,a,b,11349,a)]. 11355 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(7802,a,11353,a)]. 11356 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(227,a,8074,a(flip),b,11353,a(flip)),flip(a)]. 11357 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(11354(a,1),236(a,1,2))]. 11358 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(227,a,10519,a,b,11356,a(flip)),flip(a)]. 11360 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(227,a,9056,a,b,11357,a(flip)),flip(a)]. 11361 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(227,a,7361,a(flip),b,11355,a)]. 11362 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(227,a,9926,a(flip),b,11361,a(flip)),flip(a)]. 11363 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11362(a,2,1))]. 11364 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11320,a,11363,a),flip(a)]. 11365 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(9806,a,11364,a)]. 11367 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(10735,a,11365,a),flip(a)]. 11368 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(227,a,5084,a,b,11365,a),flip(a)]. 11369 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11365(a,1),100(a,1,2))]. 11370 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11365(a,1),2399(a,1,2,1))]. 11371 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11365(a,1),7860(a,1,2))]. 11372 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11365(a,1),9574(a,1,1))]. 11373 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11365(a,1),9582(a,1,2))]. 11374 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11368(a,1),5096(a,1))]. 11377 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(7274(a,2),11374(a,1))]. 11378 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [hyper(6490,a,11372,a)]. 11379 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11372(a,1),5747(a,1,2)),flip(a)]. 11380 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6498,a,11373,a)]. 11382 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(9581,a,11378,a)]. 11384 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(11374,a,11382,a),flip(a)]. 11385 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(227,a,11367,a,b,11384,a(flip)),flip(a)]. 11386 L(L(x,y \ 1,L(z,y,y)),z / y,K(z,L(u,y,y))) = L(x,1 / y,T(L(z,y,y),u)). [para(11384(a,1),10699(a,1,3))]. 11387 K(x * y,L(z,x,y)) = K(x * y,z). [para(11098(a,1),11384(a,1,1)),flip(a)]. 11388 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11385(a,1,2,2))]. 11389 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(227,a,9577,a(flip),b,11380,a(flip)),flip(a)]. 11390 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [para(11380(a,1),6628(a,1,2)),flip(a)]. 11391 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11389(a,1),9912(a,2,2))]. 11392 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(9805(a,1),11388(a,2,2))]. 11393 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(11369(a,1),5001(a,1))]. 11394 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(2725(a,1),11390(a,1,1))]. 11395 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11391(a,1),8881(a,2,2))]. 11396 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(11393,a,5533,a)]. 11397 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(11396(a,1),463(a,1,2)),flip(a)]. 11398 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(7515(a,1),11397(a,2,1,2)),flip(a)]. 11399 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = ((y \ x) \ z) * (y \ x). [hyper(227,a,3658,a(flip),b,11360,a(flip)),flip(a)]. 11400 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(11377,a,9054,a)]. 11401 (x \ y) / (((x \ y) \ 1) \ z) = 1 / (((y \ x) \ z) * (y \ x)). [para(11399(a,1),263(a,1,2)),flip(a)]. 11402 1 / (((x \ y) \ z) * (x \ y)) = (y \ x) * (1 / ((y \ x) * z)). [hyper(1410,a,11401,a),flip(a)]. 11403 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6880(a,1),11371(a,1,1))]. 11404 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(227,a,10520,a(flip),b,11400,a(flip)),flip(a)]. 11405 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(227,a,6884,a(flip),b,11403,a)]. 11406 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11405(a,1),7487(a,1,1))]. 11407 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(5213(a,1),11343(a,1,1,2)),flip(a)]. 11408 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(227,a,6007,a(flip),b,11407,a)]. 11409 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(2392(a,1),11408(a,1,1))]. 11410 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11409(a,1),9955(a,2,2))]. 11411 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(227,a,6009,a(flip),b,11410,a)]. 11412 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5449(a,1),11328(a,1,1))]. 11413 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5301(a,1),11412(a,1,1,1,2))]. 11414 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(227,a,42,a,b,11413,a(flip)),flip(a)]. 11415 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5322(a,1),11414(a,1,1)),flip(a)]. 11416 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(227,a,11322,a(flip),b,11415,a(flip)),flip(a)]. 11417 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11415(a,1),11352(a,1,2))]. 11418 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11416(a,1),502(a,1,1)),flip(a)]. 11419 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(227,a,109,a(flip),b,11418,a)]. 11420 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10426(a,1),11419(a,1,1,1)),flip(a)]. 11421 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11419(a,1),11261(a,1,1))]. 11422 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11421(a,1),10269(a,1))]. 11423 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(6443(a,1),11370(a,1,2))]. 11424 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11384(a,1),11423(a,1,2,1))]. 11425 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5795(a,1),11424(a,1,2))]. 11426 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11379(a,1),11425(a,1,2)),flip(a)]. 11427 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(227,a,10517,a(flip),b,11392,a(flip))]. 11428 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11411(a,1),11395(a,1,2))]. 11429 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(6951,a,11428,a),flip(a)]. 11430 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11384(a,1),11429(a,2,1))]. 11431 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(227,a,11372,a(flip),b,11430,a)]. 11432 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(282,a,11431,a),flip(a)]. 11433 a(x,y,K(z,u)) != w | a(x,y,K(u \ z,u)) = w. [para(11431(a,1),282(a,1)),flip(b)]. 11435 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11432(a,1,3,1)),flip(a)]. 11436 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(4800(a,1),11432(a,1,3))]. 11437 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5087(a,1),11432(a,1,3)),flip(a)]. 11438 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(5967(a,1),11435(a,1,3)),flip(a)]. 11439 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [para(5201(a,1),11437(a,1,3))]. 11440 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11437(a,1),11426(a,2,2,2))]. 11441 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),11439(a,1,3,2)),flip(a)]. 11442 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [para(5211(a,1),11436(a,2,3))]. 11443 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(227,a,11358,a(flip),b,11427,a)]. 11444 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11377,a,11443,a)]. 11445 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(227,a,10517,a(flip),b,11444,a(flip)),flip(a)]. 11446 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(227,a,11404,a(flip),b,11445,a(flip)),flip(a)]. 11447 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11446(a,2,1,2))]. 11448 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(8151,a,11447,a)]. 11449 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11448(a,1),10645(a,1,1,2,2))]. 11450 L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,1 / y,T(L(z,y,y),u)). [para(6021(a,1),11386(a,1,3))]. 11451 L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,1 / y,L(T(z,u),y,y)). [para(40(a,2),11450(a,2,3))]. 11453 L(L(x,y \ 1,L(z,y,y)),z / y,K(z,u)) = L(x,y \ 1,L(T(z,u),y,y)). [hyper(227,a,10691,a(flip),b,11451,a)]. 11454 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(227,a,6435,a(flip),b,11440,a)]. 11455 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((y / x) * (1 * (1 / (y / x)))) * z)). [para(3383(a,1),11304(a,2,2,2,1))]. 11456 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (((y / x) * (1 / (y / x))) * z)). [para(11(a,1),11455(a,2,2,2,1,2))]. 11457 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (K(y / x,(y / x) \ 1) * z)). [para(2255(a,2),11456(a,2,2,2,1))]. 11458 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * (1 / (K(x \ y,y \ x) * z)). [para(4269(a,1),11457(a,2,2,2,1))]. 11459 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = z * ((1 / z) * K(x \ y,y \ x)). [para(10800(a,1),11458(a,2,2))]. 11460 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5860(a,1),5294(a,1,1,2,1)),flip(a)]. 11461 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5084(a,1),11460(a,2,1,2))]. 11463 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6496(a,1),11461(a,2,1))]. 11464 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(85,a,11463,a)]. 11465 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11464(a,1),2998(a,1,1,1)),flip(a)]. 11466 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5666(a,1),11465(a,2,1))]. 11467 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5286(a,1),11466(a,1,2,2))]. 11468 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(7623(a,1),11467(a,1,2))]. 11469 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(7730(a,1),11468(a,1,2)),flip(a)]. 11470 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(7787,a,11469,a(flip)),flip(a)]. 11472 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11470(a,2),3538(a,1,2,1))]. 11473 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11470(a,1),5892(a,1,2,1))]. 11474 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(173(a,1),7819(a,1,1)),flip(a)]. 11475 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10202(a,1),11474(a,2,1))]. 11476 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(227,a,7486,a,b,11475,a)]. 11478 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(227,a,8438,a(flip),b,11476,a(flip))]. 11479 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(7494,a,11478,a)]. 11481 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(3070(a,2),11478(a,2,2))]. 11482 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11478(a,1),9473(a,1,1))]. 11483 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(3070(a,2),11479(a,2,2))]. 11484 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(8861,a,11481,a)]. 11485 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(439,a,11481,a)]. 11486 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(227,a,4996,a(flip),b,11481,a),flip(a)]. 11487 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(227,a,11172,a,b,11481,a(flip)),flip(a)]. 11488 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(8722(a,1),11483(a,1,1,2)),flip(a)]. 11489 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11483(a,1),10378(a,2,1))]. 11490 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(227,a,11481,a(flip),b,11485,a(flip))]. 11491 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5153,a,11490,a)]. 11492 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5071,a,11490,a)]. 11493 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(11486(a,1),5001(a,1))]. 11495 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(3070(a,2),11487(a,1,2,1))]. 11496 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11491(a,1),5369(a,1,1))]. 11497 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,11487,a,b,11492,a),flip(a)]. 11498 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(3070(a,2),11497(a,1,1))]. 11499 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(3070(a,1),11498(a,2,2))]. 11500 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4996,a(flip),b,11495,a)]. 11501 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(227,a,11499,a(flip),b,11500,a(flip))]. 11502 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(38(a,1),11493(a,1))]. 11503 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(5014,a,11482,a),flip(a)]. 11505 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(227,a,11497,a(flip),b,11503,a)]. 11506 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(7966(a,1),11503(a,1,2,2)),flip(a)]. 11507 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(227,a,11500,a,b,11505,a)]. 11508 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,v5),v6,v6 \ w). [hyper(227,a,10006,a,b,11505,a(flip))]. 11509 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(227,a,8896,a,b,11505,a(flip)),flip(a)]. 11510 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(7443(a,1),11505(a,1,1))]. 11511 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(7723(a,1),11505(a,1,1))]. 11512 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(227,a,11501,a(flip),b,11510,a)]. 11513 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(227,a,9152,a(flip),b,11508,a)]. 11514 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(3070(a,1),11513(a,1,2))]. 11515 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),11514(a,1,2,2,2,3))]. 11516 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(227,a,11479,a(flip),b,11484,a(flip))]. 11517 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(227,a,4949,a,b,11489,a)]. 11518 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(6443(a,1),11517(a,1,2))]. 11519 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11496,a,11516,a)]. 11520 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(227,a,4996,a(flip),b,11519,a),flip(a)]. 11521 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(8857(a,1),11488(a,2,1))]. 11522 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(17,a,4996,a(flip),b,11520,a),flip(a)]. 11523 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(227,a,11485,a(flip),b,11521,a)]. 11524 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8722(a,1),11523(a,1,2,2))]. 11525 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(227,a,11490,a,b,11524,a),flip(a)]. 11526 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7428(a,1),11509(a,1,2,2,2))]. 11527 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(7723(a,1),11511(a,1,2)),flip(a)]. 11528 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(11527(a,1),7001(a,1))]. 11530 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(11503(a,1),11528(a,1))]. 11531 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(11507(a,1),11528(a,1))]. 11532 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(11518(a,2),11531(a,1))]. 11533 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(6249,a,11526,a)]. 11534 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7428(a,1),11533(a,1,1))]. 11535 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(8605(a,1),11506(a,2,2))]. 11536 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(227,a,11503,a(flip),b,11535,a)]. 11537 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(7966(a,1),11536(a,1,1,2))]. 11538 x * ((x \ y) * (L(z,x,x) * (1 / T(z \ (y \ x),x)))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(2147(a,1),8216(a,1,2,2,2))]. 11539 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(8475(a,1),8476(a,1,1,2))]. 11540 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8539(a,1),11539(a,1,1))]. 11541 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(42(a,2),11540(a,1,2))]. 11542 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(192(a,1),11541(a,1,2,1))]. 11543 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(227,a,8845,a(flip),b,11542,a(flip)),flip(a)]. 11544 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(227,a,10211,a(flip),b,11543,a(flip)),flip(a)]. 11546 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(227,a,9067,a(flip),b,11544,a(flip))]. 11547 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(6223(a,1),11546(a,2,2))]. 11548 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(227,a,6402,a(flip),b,11547,a)]. 11549 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(8474(a,1),11548(a,1,1,1))]. 11550 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(8475(a,1),11549(a,1,1)),flip(a)]. 11551 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11550(a,1),5827(a,1))]. 11552 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(8981(a,1),8986(a,1,2,1,1)),flip(a)]. 11553 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(227,a,4411,a(flip),b,11552,a)]. 11555 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1904(a,1),11553(a,2,1))]. 11556 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1904(a,1),11555(a,1,1))]. 11557 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11556(a,1),11373(a,1,2,2))]. 11558 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(28(a,2),9420(a,1,2,2,2)),flip(a)]. 11559 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u / (1 / (y / z)),(u \ 1) \ (y / z)). [hyper(227,a,4601,a(flip),b,9822,a)]. 11560 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(13(a,1),11206(a,2,1,1))]. 11561 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(227,a,8990,a(flip),b,11560,a)]. 11563 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(13(a,1),11561(a,1,1,1))]. 11564 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11563(a,1,2,2))]. 11565 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5625(a,1),11564(a,1,2,1,3))]. 11566 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(9427(a,1),11394(a,1,2))]. 11567 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(1976(a,1),11566(a,1,2)),flip(a)]. 11568 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(38(a,1),11567(a,2,2))]. 11569 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(227,a,8126,a(flip),b,11568,a)]. 11570 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11384(a,1),11569(a,2,1))]. 11571 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(227,a,7294,a(flip),b,11570,a)]. 11572 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(6119(a,1),11571(a,1,2,3))]. 11573 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4764(a,1),11572(a,1,2,3))]. 11574 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(227,a,11454,a,b,11573,a(flip)),flip(a)]. 11575 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11365(a,1),11574(a,1,1))]. 11576 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2920(a,1),11575(a,1,2)),flip(a)]. 11577 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(227,a,6443,a(flip),b,11576,a)]. 11578 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11384(a,1),11577(a,2,1))]. 11579 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(227,a,5004,a,b,11578,a)]. 11581 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,(u \ 1) \ (y / z),(u \ 1) \ (y / z)). [hyper(227,a,10714,a(flip),b,11559,a)]. 11582 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(5273(a,1),5324(a,2,2,1,1))]. 11583 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(65(a,1),11582(a,2,2,1))]. 11585 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(227,a,4641,a(flip),b,11583,a)]. 11586 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(65(a,1),11585(a,1,1,2,1))]. 11587 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(4641(a,1),11586(a,1,1))]. 11588 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6143,a,11587,a)]. 11589 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11588(a,1),11279(a,1,1,1))]. 11590 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(884,a,11589,a)]. 11591 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(109(a,1),11590(a,1,1,2))]. 11592 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11591(a,1,1)),flip(a)]. 11593 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(227,a,10503,a(flip),b,11592,a),flip(a)]. 11594 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(24(a,2),11593(a,2,1,1)),flip(a)]. 11595 1 / a(x,y,z) = a(x,y,z) \ 1. [para(11594(a,1),62(a,1,2))]. 11596 ((a(x,y,z) \ 1) * u) \ u = T(a(x,y,z),u). [para(11594(a,1),1193(a,1,1)),flip(a)]. 11597 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(10465(a,1),11594(a,1,1))]. 11598 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(11595(a,1),281(a,1,1)),flip(b)]. 11599 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(11598,a,11597,a),flip(a)]. 11600 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(11597(a,1),11598(a,1))]. 11601 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(227,a,8767,a,b,11599,a),flip(a)]. 11602 ((x \ y) / T(1 / z,y \ x)) * (1 / ((1 / y) * x)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). [para(6038(a,1),5615(a,1,1,2))]. 11603 ((x \ y) / T(1 / z,y \ x)) * (((x \ y) \ 1) \ 1) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). [para(1064(a,1),11602(a,1,2))]. 11604 1 / (((x \ y) \ T(1 / z,y \ x)) / (x \ y)) = (1 / ((1 / y) * x)) * ((z \ ((1 / y) * x)) \ 1). [hyper(227,a,3996,a(flip),b,11603,a(flip)),flip(a)]. 11605 1 / (((x \ y) * T(1 / z,x \ y)) * (x \ y)) = (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1). [para(9058(a,1),11604(a,1,2))]. 11606 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = 1 / (((1 / z) * (x \ y)) * (x \ y)). [para(113(a,1),11605(a,1,2,1)),flip(a)]. 11607 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (x \ y) \ ((x \ y) \ (1 / (1 / z))). [hyper(227,a,3413,a(flip),b,11606,a)]. 11608 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (x \ y) \ ((x \ y) \ ((z \ 1) \ 1)). [para(1058(a,1),11607(a,2,2,2))]. 11609 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = (1 / (x \ y)) * ((z \ (x \ y)) \ 1). [hyper(227,a,2172,a(flip),b,11608,a)]. 11610 (1 / ((1 / x) * y)) * ((z \ ((1 / x) * y)) \ 1) = ((1 / y) * x) * ((z \ (x \ y)) \ 1). [para(313(a,1),11609(a,2,1))]. 11611 (((x \ y) \ 1) \ 1) * ((z \ ((1 / y) * x)) \ 1) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). [para(1064(a,1),11610(a,1,1))]. 11612 (((x \ y) \ 1) \ 1) * ((x \ y) * ((z \ 1) \ 1)) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). [para(753(a,1),11611(a,1,2))]. 11613 (x \ y) * ((((x \ y) \ 1) \ 1) * ((z \ 1) \ 1)) = ((1 / x) * y) * ((z \ (y \ x)) \ 1). [hyper(227,a,3653,a(flip),b,11612,a(flip)),flip(a)]. 11614 ((1 / x) * y) * ((z \ (y \ x)) \ 1) = (x \ y) * ((z \ ((x \ y) \ 1)) \ 1). [para(257(a,1),11613(a,1,2)),flip(a)]. 11615 T((x \ y) * ((z \ ((x \ y) \ 1)) \ 1),(1 / x) * y) = (z \ (y \ x)) \ ((1 / x) * y). [para(11614(a,1),1201(a,1,1))]. 11616 T((x \ y) * ((z \ ((x \ y) \ 1)) \ 1),x \ y) = (z \ (y \ x)) \ ((1 / x) * y). [hyper(6121,a,11615,a)]. 11617 (x \ ((y \ z) \ 1)) \ (y \ z) = (x \ (z \ y)) \ ((1 / y) * z). [hyper(1249,a,11616,a)]. 11618 (x \ (y \ z)) \ ((1 / z) * y) = ((z \ y) / (1 / x)) * (z \ y). [hyper(227,a,3910,a(flip),b,11617,a(flip))]. 11619 ((x \ y) / (1 / (z \ 1))) * (x \ y) = (y \ x) \ (1 / ((y \ x) * z)). [hyper(227,a,3865,a(flip),b,11618,a(flip))]. 11620 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (((y \ x) / (1 / z)) * (y \ x)) \ 1. [para(11618(a,1),2790(a,2,1))]. 11621 (x \ y) \ (1 / ((x \ y) * z)) = ((y \ x) / z) * (y \ x). [para(62(a,1),11619(a,1,1,2)),flip(a)]. 11622 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (y \ x) \ (((y \ x) / (1 / z)) \ 1). [hyper(227,a,123,a(flip),b,11620,a)]. 11623 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = (y \ x) \ ((1 / z) * ((y \ x) \ 1)). [para(125(a,1),11622(a,2,2))]. 11624 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = ((y \ x) \ 1) * ((1 / z) / (y \ x)). [hyper(227,a,1391,a(flip),b,11623,a)]. 11625 (1 / ((x \ y) / z)) \ (((1 / y) * x) \ 1) = 1 / ((y \ x) * (z * (y \ x))). [hyper(227,a,3869,a(flip),b,11624,a)]. 11626 1 / ((x \ y) * (z * (x \ y))) = (1 / ((y \ x) / z)) \ (y \ x). [para(250(a,1),11625(a,1,2)),flip(a)]. 11627 1 / ((x \ y) * (z * (x \ y))) = (y \ x) / ((y \ x) \ z). [hyper(227,a,796,a(flip),b,11626,a)]. 11628 ((x \ y) / ((x \ y) \ z)) \ 1 = (y \ x) * (z * (y \ x)). [para(11627(a,1),65(a,1,1))]. 11629 ((x \ y) \ z) * ((x \ y) \ 1) = (y \ x) * (z * (y \ x)). [hyper(324,a,11628,a)]. 11630 (x \ y) \ (z / (x \ y)) = (y \ x) * (z * (y \ x)). [hyper(227,a,1257,a(flip),b,11629,a(flip)),flip(a)]. 11631 ((1 / x) * y) * (z * ((1 / x) * y)) = (x \ y) * (z * (x \ y)). [hyper(227,a,4031,a,b,11630,a(flip)),flip(a)]. 11632 ((x \ y) \ z) * L(x,x,y * x) = (y \ x) * ((z * y) * (y \ x)). [hyper(227,a,4170,a(flip),b,11630,a(flip)),flip(a)]. 11633 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (y \ ((x \ 1) \ 1)) * (z * (y \ ((x \ 1) \ 1))). [para(1600(a,2),11631(a,1,1))]. 11634 ((((x \ y) \ 1) * (1 / z)) * (((1 / y) * x) \ 1)) \ K(u,w) = ((1 / (((1 / y) * x) * z)) \ (x \ y)) * K(u,w). [para(1130(a,1),8226(a,1,1,1))]. 11635 (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = T(u * (w \ 1),K(x,x \ K(y,z))). [hyper(1327,a,8584,a),flip(a)]. 11636 (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = T(u * (w \ 1),K(x,K(y,z))). [hyper(227,a,7699,a(flip),b,11635,a)]. 11637 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). [para(7399(a,1),8781(a,2,1))]. 11638 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(227,a,9322,a(flip),b,8849,a(flip))]. 11640 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(227,a,4436,a(flip),b,11638,a)]. 11641 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(3085(a,1),11640(a,1,2,1)),flip(a)]. 11643 (1 / (x * (1 / ((y \ (1 / z)) * x)))) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(3664(a,1),9231(a,1,1,2))]. 11644 (x * (((x \ y) \ 1) \ 1)) \ ((1 / ((y \ x) * (1 / x))) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(2119(a,1),9464(a,1,1))]. 11645 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (K(y * (1 / (z * y)),z) / x). [para(8352(a,1),9886(a,1,2,1)),flip(a)]. 11646 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (K(z,z \ 1) / x). [para(8285(a,1),11645(a,2,2,1))]. 11648 1 / (((1 / (x * (y * (1 / (z * y))))) \ z) * y) = y \ (z * (1 / (x * z))). [para(3664(a,1),11646(a,2,2))]. 11650 (K(x,x \ 1) * y) \ (x * (1 / (((1 / (z * (x * (1 / (y * x))))) \ y) * x))) = (x * (1 / (y * x))) / z. [para(3650(a,1),9887(a,1,1))]. 11651 (K(x,x \ 1) * y) \ (x * (x \ (y * (1 / (z * y))))) = (x * (1 / (y * x))) / z. [para(11648(a,1),11650(a,1,2,2))]. 11652 (K(x,x \ 1) * y) \ (y * (1 / (z * y))) = (x * (1 / (y * x))) / z. [para(14(a,1),11651(a,1,2))]. 11653 K(x,x \ 1) * (y \ (y * (1 / (z * y)))) = (x * (1 / (y * x))) / z. [hyper(227,a,9195,a(flip),b,11652,a(flip)),flip(a)]. 11655 K(x,x \ 1) * (1 / (y * z)) = (x * (1 / (z * x))) / y. [para(13(a,1),11653(a,1,2))]. 11656 (x * (1 / (y * x))) / z = K(x,x \ 1) / (z * y). [hyper(6480,a,11655,a),flip(a)]. 11658 (x * (1 / (y * x))) / z = x * (1 / ((z * y) * x)). [hyper(227,a,3664,a(flip),b,11656,a)]. 11659 x \ ((x * (1 / (y * x))) * (((x * (1 / (y * x))) \ z) * L(u,x * (1 / (y * x)),x * (1 / (y * x))))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). [hyper(2149,a,11658,a)]. 11660 x * (1 / ((y * ((y * y) \ z)) * x)) = (x * (((x \ z) \ 1) \ 1)) \ y. [hyper(227,a,9896,a(flip),b,11658,a(flip))]. 11661 x * (1 / (((x \ (y \ (x * (1 / (z * x))))) * z) * x)) = (y * (1 / (z / x))) / (x * (1 / (z * x))). [hyper(227,a,3420,a(flip),b,11658,a(flip))]. 11662 (x * (y \ 1)) * (1 / ((z * u) * (x * (y \ 1)))) = ((x * (y \ 1)) * ((y / x) / u)) / z. [para(327(a,1),11658(a,1,1,2)),flip(a)]. 11663 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * (1 / (1 / ((y \ x) / u)))) / z. [para(1131(a,1),11658(a,1,1,2,2)),flip(a)]. 11664 (x * (1 / (K(y \ z,z \ y) * x))) / (u * w) = x * (1 / ((u * (w * K(y \ z,z \ y))) * x)). [para(9076(a,1),11658(a,2,2,2,1))]. 11665 L(x,y * z,y * (1 / (((y * z) * u) * y))) = L(x,y * z,(z \ (1 / y)) / u). [para(11658(a,1),11082(a,1,3))]. 11666 (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (x * u) / (z * (1 / (((u \ 1) * y) * z))). [para(11658(a,1),11302(a,2,2))]. 11667 (x * (((x \ y) \ 1) \ 1)) \ z = x * (1 / (((z \ 1) * y) * x)). [para(3354(a,1),11660(a,1,2,2,1)),flip(a)]. 11668 x * (1 / ((((1 / y) \ 1) * (((z \ 1) \ 1) * u)) * x)) = (z * (x * (((x \ u) \ 1) \ 1))) \ (1 / y). [hyper(227,a,11193,a(flip),b,11667,a(flip))]. 11669 (x \ (1 / y)) \ ((x \ 1) * (z * (((z \ u) \ 1) \ 1))) = (y * x) / (z * (1 / (((x \ 1) * u) * z))). [para(11667(a,1),9272(a,2,2))]. 11670 (x * (((x \ (L(y \ 1,z,u) / x)) \ 1) \ 1)) \ y = x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)). [para(11243(a,1),11667(a,2,2,2))]. 11671 L(x,y * z,y * ((((y * z) * u) * y) \ 1)) = L(x,y * z,(z \ (1 / y)) / u). [hyper(227,a,4922,a(flip),b,11665,a(flip)),flip(a)]. 11672 L(x,y * z,y * (y \ (((y * z) * u) \ 1))) = L(x,y * z,(z \ (1 / y)) / u). [para(123(a,1),11671(a,1,3,2))]. 11673 L(x,y * z,y * (y \ (u \ ((y * z) \ 1)))) = L(x,y * z,(z \ (1 / y)) / u). [para(123(a,1),11672(a,1,3,2,2))]. 11674 L(x,y * z,y * (y \ (u \ (z \ (y \ 1))))) = L(x,y * z,(z \ (1 / y)) / u). [para(123(a,1),11673(a,1,3,2,2,2))]. 11675 L(x,y * z,(z \ (1 / y)) / u) = L(x,y * z,u \ (z \ (y \ 1))). [para(14(a,1),11674(a,1,3)),flip(a)]. 11676 L(x,y * z,(y * z) \ (u \ 1)) = L(x,y * z,u \ (z \ (y \ 1))). [hyper(227,a,10872,a(flip),b,11675,a(flip)),flip(a)]. 11678 (x * (y \ 1)) * (1 / ((z * y) * (x * (y \ 1)))) = ((y \ x) * (1 / x)) / z. [para(4281(a,1),11662(a,2,1))]. 11679 (x * (y \ 1)) * (1 / ((z * y) * (x * (y \ 1)))) = y \ (x * (1 / (z * x))). [hyper(227,a,9266,a(flip),b,11678,a)]. 11680 (x * (y \ 1)) * ((y / x) / (z * y)) = y \ (x * (1 / (z * x))). [para(327(a,1),11679(a,1,2))]. 11681 K(x \ y,y \ x) / (z * y) = y \ (x * (1 / (z * x))). [hyper(227,a,4273,a(flip),b,11680,a(flip)),flip(a)]. 11682 K(x \ y,y \ x) / (z * x) = x \ (y * (1 / (z * y))). [para(5971(a,1),11681(a,1,1))]. 11683 (x * ((1 / x) * K(y \ z,z \ y))) / (u * w) = x * (1 / ((u * (w * K(y \ z,z \ y))) * x)). [para(10800(a,1),11664(a,1,1,2))]. 11684 (x * (y * (((y \ z) \ 1) \ 1))) \ (1 / u) = y * (1 / ((u * (((x \ 1) \ 1) * z)) * y)). [para(65(a,1),11668(a,1,2,2,1,1)),flip(a)]. 11687 (x * y) / (z * (1 / (((y \ 1) * u) * z))) = (y \ (1 / x)) \ (((u \ y) \ z) * (1 / z)). [para(9315(a,1),11669(a,1,2)),flip(a)]. 11688 x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (x * ((L(y \ 1,z,u) \ x) \ (1 / x))) \ y. [para(1845(a,1),11670(a,1,1,2)),flip(a)]. 11689 x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (x * (x \ (L(1 / y,z,u) / x))) \ y. [para(4496(a,1),11688(a,2,1,2))]. 11690 x * (1 / L((y \ 1) * L(y \ 1,z,u),x,x)) = (L(1 / y,z,u) / x) \ y. [hyper(227,a,303,a(flip),b,11689,a)]. 11692 x * (1 / L(y \ L(1 / y,z,u),x,x)) = (L(1 / y,z,u) / x) \ y. [para(1738(a,1),11690(a,1,2,2,1))]. 11693 x * (x \ (x / (y \ L(1 / y,z,u)))) = (L(1 / y,z,u) / x) \ y. [para(1033(a,1),11692(a,1,2))]. 11694 x / (y \ L(1 / y,z,u)) = (L(1 / y,z,u) / x) \ y. [hyper(205,a,11693,a),flip(a)]. 11696 ((L(1 / x,y,z) / u) \ x) * (x \ 1) = (u * x) / (x * L(x \ 1,y,z)). [para(11694(a,1),10802(a,1,1))]. 11697 (x * y) / (y * L(y \ 1,z,u)) = (L(1 / y,z,u) / x) \ 1. [hyper(312,a,11696,a),flip(a)]. 11699 (x * y) / (y * L(y \ 1,z,u)) = x * (L(1 / y,z,u) \ 1). [hyper(227,a,125,a(flip),b,11697,a)]. 11700 x * (1 / (((((1 / y) * z) * (x \ 1)) \ ((1 / y) * z)) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). [para(313(a,1),9891(a,1,2,2,1,2))]. 11701 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(227,a,10332,a(flip),b,10358,a(flip)),flip(a)]. 11702 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(10977,a,11701,a)]. 11705 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10179(a,1),11702(a,2,2,2))]. 11706 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11705(a,2,2,2,1))]. 11707 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11706(a,2,2))]. 11709 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(227,a,10318,a(flip),b,11707,a)]. 11710 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(227,a,10978,a(flip),b,11709,a(flip))]. 11712 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10807(a,1),10816(a,1,2,1,1))]. 11713 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = ((x \ 1) * y) \ (z / ((x \ 1) * y)). [hyper(227,a,2690,a(flip),b,11633,a)]. 11714 ((((x \ y) \ 1) * (1 / z)) * (x \ y)) \ K(u,w) = ((1 / (((1 / y) * x) * z)) \ (x \ y)) * K(u,w). [para(250(a,1),11634(a,1,1,2))]. 11715 ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = (1 / (((y \ x) \ z) * (y \ x))) \ K(u,w). [para(2072(a,1),11714(a,1,1)),flip(a)]. 11716 ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (1 / ((x \ y) * z))) \ K(u,w). [para(11402(a,1),11715(a,2,1))]. 11717 ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (z * (1 / (x \ y)))) * K(u,w). [hyper(227,a,6657,a(flip),b,11716,a)]. 11718 ((1 / (((1 / x) * y) * z)) \ (y \ x)) * K(u,w) = ((x \ y) * (z * ((1 / y) * x))) * K(u,w). [para(313(a,1),11717(a,2,1,2,2))]. 11719 ((((x \ (y \ z)) \ 1) \ 1) \ (y \ z)) * K(u,w) = ((z \ y) * (x * ((1 / y) * z))) * K(u,w). [para(1071(a,1),11718(a,1,1,1))]. 11720 ((x \ y) * (z * ((1 / y) * x))) * K(u,w) = (((y \ x) \ z) * (y \ x)) * K(u,w). [para(1459(a,1),11719(a,1,1)),flip(a)]. 11721 (x \ y) * (z * ((1 / y) * x)) = ((y \ x) \ z) * (y \ x). [hyper(9406,a,11720,a)]. 11723 (((x / y) * z) \ x) * (1 * ((1 / x) * ((x / y) * z))) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). [para(1592(a,1),11721(a,2,1))]. 11724 (((x / y) * z) \ x) * ((1 / x) * ((x / y) * z)) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). [para(11(a,1),11723(a,1,2))]. 11725 K(x \ ((x / y) * z),((x / y) * z) \ x) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). [hyper(227,a,5081,a(flip),b,11724,a(flip)),flip(a)]. 11726 K(x \ ((x / y) * z),x \ ((z / x) \ y)) = (x \ ((z / x) \ y)) * (x \ ((x / y) * z)). [hyper(6324,a,11725,a)]. 11727 K(x \ ((y / x) \ z),x \ ((x / z) * y)) = K(x \ ((x / z) * y),x \ ((y / x) \ z)). [hyper(227,a,4133,a,b,11726,a),flip(a)]. 11728 K(x \ ((x / y) * z),x \ ((z / x) \ y)) / (x \ ((x / y) * z)) = T((x \ ((x / y) * z)) \ 1,1). [para(11727(a,1),4293(a,1,1))]. 11729 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(227,a,7413,a(flip),b,11637,a)]. 11730 ((((x \ (1 / y)) * z) \ 1) \ (1 / z)) * ((x \ (1 / y)) \ 1) = (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))). [para(1120(a,1),11643(a,1,1))]. 11731 (x * (((x \ y) \ 1) \ 1)) \ (((x * (1 / (1 * x))) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(9262(a,1),11644(a,1,2,1))]. 11732 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * ((((y \ x) / u) \ 1) \ 1)) / z. [para(1058(a,1),11663(a,2,1,2))]. 11733 x * (1 / ((((1 / y) * z) * ((x \ ((1 / y) * z)) \ 1)) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). [para(1220(a,1),11700(a,1,2,2,1))]. 11734 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(227,a,10645,a(flip),b,11712,a(flip))]. 11735 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(8718,a,11734,a),flip(a)]. 11736 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7645,a,11735,a)]. 11737 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8043,a,11736,a),flip(a)]. 11738 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11737(a,1),9669(a,1,1))]. 11739 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(227,a,9668,a(flip),b,11738,a(flip)),flip(a)]. 11740 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11049,a,11739,a),flip(a)]. 11741 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(227,a,9981,a(flip),b,11740,a(flip))]. 11742 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11741(a,1,2,1)),flip(a)]. 11743 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(518(a,1),11742(a,2,2,1))]. 11744 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5214(a,1),11742(a,1,1)),flip(a)]. 11745 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5399(a,1),11742(a,1,1)),flip(a)]. 11746 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11130(a,1),11742(a,1,1))]. 11747 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(227,a,8340,a,b,11745,a(flip)),flip(a)]. 11748 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11744(a,1),11746(a,1,1)),flip(a)]. 11749 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(8340(a,1),11743(a,1,1))]. 11750 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(8406(a,1),11749(a,1,1))]. 11751 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(227,a,6253,a(flip),b,11750,a)]. 11753 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),11751(a,2,2,2))]. 11754 ((x \ ((y \ (1 / z)) \ 1)) \ (1 / x)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(123(a,1),11730(a,1,1,1))]. 11755 (x * (((x \ y) \ 1) \ 1)) \ (((x * (1 / x)) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(11(a,1),11731(a,1,2,1,1,2,2))]. 11756 (x * (((x \ y) \ 1) \ 1)) \ ((K(x,x \ 1) \ y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(2255(a,2),11755(a,1,2,1,1))]. 11757 (x * (((x \ y) \ 1) \ 1)) \ ((K(x,x \ 1) * y) \ z) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(6479(a,1),11756(a,1,2,1))]. 11758 (x * (((x \ y) \ 1) \ 1)) \ (K(x,x \ 1) * (y \ z)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(9195(a,1),11757(a,1,2))]. 11759 K(x,x \ 1) * ((x * (((x \ y) \ 1) \ 1)) \ (y \ z)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [hyper(9159,a,11758,a)]. 11760 K(x,x \ 1) * (x * (1 / ((((y \ z) \ 1) * y) * x))) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [para(11667(a,1),11759(a,1,2))]. 11761 T(x,x \ 1) * (1 / ((((y \ z) \ 1) * y) * x)) = ((y \ x) * (1 / x)) * (((y \ x) * (1 / x)) * z). [hyper(6182,a,11760,a)]. 11762 ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = K(1,y \ 1) / (((x \ z) \ 1) * x). [hyper(227,a,9284,a(flip),b,11761,a(flip))]. 11763 ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = 1 / (((x \ z) \ 1) * x). [para(147(a,1),11762(a,2,1))]. 11764 ((x \ y) * (1 / y)) * (((x \ y) * (1 / y)) * z) = (x \ 1) * ((x \ 1) * z). [hyper(227,a,3406,a(flip),b,11763,a)]. 11766 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * ((u * ((y \ x) \ 1)) \ 1)) / z. [para(125(a,1),11732(a,2,1,2,1))]. 11767 x * (1 / ((((1 / y) * z) * ((z \ y) * ((x \ 1) \ 1))) * x)) = ((z / x) \ ((1 / y) \ x)) \ ((x \ 1) \ (z \ y)). [para(753(a,1),11733(a,1,2,2,1,2))]. 11768 ((x \ (y * ((z \ 1) \ 1))) \ (1 / x)) * ((z \ (1 / y)) \ 1) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). [para(320(a,1),11754(a,1,1,1,2))]. 11769 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (((1 / x) * y) * (((y \ x) \ 1) \ (u \ 1))) / z. [para(123(a,1),11766(a,2,1,2))]. 11770 (((x * ((y \ 1) \ 1)) \ z) * (1 / z)) * ((y \ (1 / x)) \ 1) = (y \ (1 / x)) * (1 / (y \ (z * (1 / (x * z))))). [para(1101(a,1),11768(a,1,1))]. 11771 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (K(x \ y,y \ x) * (u \ 1)) / z. [para(4275(a,1),11769(a,2,1))]. 11772 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = (u \ K(y \ x,x \ y)) / z. [para(5675(a,1),11771(a,2,1))]. 11773 (x * (((x \ ((y \ 1) / z)) \ 1) \ 1)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(2121(a,1),11770(a,1,1))]. 11774 (x * (((x \ (y \ (1 / z))) \ 1) \ 1)) * ((y \ (1 / z)) \ 1) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(318(a,1),11773(a,1,1,2,1,1,2))]. 11775 (x * (((x \ (y \ (1 / z))) \ 1) \ 1)) * (z * ((y \ 1) \ 1)) = (y \ (1 / z)) * (1 / (y \ (x * (1 / (z * x))))). [para(320(a,1),11774(a,1,2))]. 11776 x * (1 / (((y * ((z \ 1) \ 1)) \ (1 / (z \ (1 / y)))) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). [hyper(227,a,9889,a(flip),b,11775,a(flip)),flip(a)]. 11777 x * (1 / (((y * ((z \ 1) \ 1)) \ ((1 / (1 / y)) * z)) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). [para(313(a,1),11776(a,1,2,2,1,2))]. 11778 x * (1 / (((y * ((z \ 1) \ 1)) \ (((y \ 1) \ 1) * z)) * x)) = (z \ (1 / y)) * (1 / (z \ (x * (1 / (y * x))))). [para(1058(a,1),11777(a,1,2,2,1,2,1))]. 11779 (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * (1 / (K(y \ x,x \ y) * z)). [para(9484(a,1),11778(a,1,2,2,1)),flip(a)]. 11780 (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * ((1 / z) * K(x \ y,y \ x)). [para(6465(a,1),11779(a,2,2))]. 11781 (x \ (1 / y)) * (1 / (x \ (z * (1 / (y * z))))) = z * (K(x \ y,y \ x) / z). [para(3455(a,1),11780(a,2,2))]. 11782 (x \ (1 / y)) * ((1 / (z * (1 / (y * z)))) * x) = z * (K(x \ y,y \ x) / z). [para(313(a,1),11781(a,1,2))]. 11783 (x \ (1 / y)) * ((((y * z) \ 1) \ (1 / z)) * x) = z * (K(x \ y,y \ x) / z). [para(1120(a,1),11782(a,1,2,1))]. 11784 (x \ (1 / y)) * (((z \ (y \ 1)) \ (1 / z)) * x) = z * (K(x \ y,y \ x) / z). [para(123(a,1),11783(a,1,2,1,1))]. 11785 (x \ (1 / y)) * ((((y \ 1) \ z) * (1 / z)) * x) = z * (K(x \ y,y \ x) / z). [para(1101(a,1),11784(a,1,2,1))]. 11786 (x \ (1 / y)) * ((z * (((z \ y) \ 1) \ 1)) * x) = z * (K(x \ y,y \ x) / z). [para(2119(a,1),11785(a,1,2,1))]. 11787 (x \ (1 / y)) * (z * (1 / ((x \ (1 / y)) * z))) = z * (K(x \ y,y \ x) / z). [para(9889(a,1),11786(a,1,2))]. 11788 K(x \ (y \ (1 / z)),(y \ (1 / z)) \ x) = x * (K(y \ z,z \ y) / x). [hyper(8598,a,11787,a)]. 11789 K((x * y) * z,((y \ (1 / x)) \ z) \ 1) = z * (K(y \ x,x \ y) / z). [hyper(9440,a,11788,a)]. 11790 K((x * y) * z,z \ (y \ (1 / x))) = z * (K(y \ x,x \ y) / z). [hyper(6207,a,11789,a)]. 11791 K((x * y) * z,z \ (y \ (x \ 1))) = z * (K(y \ x,x \ y) / z). [hyper(227,a,9162,a(flip),b,11790,a(flip)),flip(a)]. 11792 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(65(a,1),4874(a,1,1,2))]. 11793 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(40(a,2),11792(a,1,1))]. 11794 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3608(a,1),11793(a,1,1))]. 11795 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(65(a,1),11794(a,1,2,2,2))]. 11796 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11795(a,1,2,2))]. 11797 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3608(a,1),11796(a,1,2,2))]. 11798 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11797(a,1,2))]. 11800 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11798(a,1),10782(a,1,1)),flip(a)]. 11801 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11800(a,1),65(a,1,1))]. 11802 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(227,a,3901,a(flip),b,11801,a(flip)),flip(a)]. 11803 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7441(a,1),7950(a,1,1,2))]. 11804 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6497(a,1),8463(a,2,2,2))]. 11805 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(6443(a,1),8720(a,1,1,2,2))]. 11806 (((T(x,x \ 1) / y) / z) / T(x,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). [para(8577(a,1),9296(a,2,2))]. 11807 (x \ T((T(x,x \ 1) / y) / z,x \ 1)) \ T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). [para(4367(a,1),11806(a,1,1))]. 11809 (T((T(x,x \ 1) / y) / z,x \ 1) \ x) * T(x,x \ 1) = ((x \ 1) \ z) * L(y,x,x). [hyper(227,a,8561,a(flip),b,11807,a(flip)),flip(a)]. 11810 T((x \ 1) \ (T((T(x,x \ 1) / y) / z,x \ 1) \ x),x) = ((x \ 1) \ z) * L(y,x,x). [hyper(227,a,1519,a,b,11809,a(flip)),flip(a)]. 11811 T(x * ((T((T(x,x \ 1) / y) / z,x \ 1) \ 1) * x),x) = ((x \ 1) \ z) * L(y,x,x). [para(3857(a,1),11810(a,1,1))]. 11812 T(x * (x * (((T(x,x \ 1) / y) / z) \ 1)),x) = ((x \ 1) \ z) * L(y,x,x). [para(1573(a,1),11811(a,1,1,2))]. 11813 T(x * (x * (y * ((T(x,x \ 1) / z) \ 1))),x) = ((x \ 1) \ y) * L(z,x,x). [para(125(a,1),11812(a,1,1,2,2))]. 11814 T(x * (x * (y * (z * (T(x,x \ 1) \ 1)))),x) = ((x \ 1) \ y) * L(z,x,x). [para(125(a,1),11813(a,1,1,2,2,2))]. 11815 T(x * (x * (y * (z * (1 / x)))),x) = ((x \ 1) \ y) * L(z,x,x). [para(1054(a,1),11814(a,1,1,2,2,2,2))]. 11816 T(T((x * y) * z,x \ 1),x) = ((x \ 1) \ y) * L(z,x,x). [para(9445(a,1),11815(a,1,1))]. 11817 T(T((x * y) * z,x),x \ 1) = ((x \ 1) \ y) * L(z,x,x). [hyper(439,a,11816,a)]. 11818 ((x \ 1) \ y) \ L((x * y) * z,x,x) = L(z,x,x). [hyper(72,a,1023,a(flip),b,11817,a(flip))]. 11819 L(x,K(y,z) * (u \ 1),K(y,z) * (u \ 1)) = L(x,u,u). [hyper(227,a,11278,a(flip),b,11818,a(flip)),flip(a)]. 11821 L(x,K(y,z) \ u,K(y,z) \ u) = L(x,u,u). [hyper(227,a,10494,a(flip),b,11819,a(flip)),flip(a)]. 11822 L(x,K(y,z) * u,K(z,y) \ u) = L(x,u,u). [para(6443(a,1),11821(a,1,2))]. 11823 L(x,K(y,z) * u,K(y,z) * u) = L(x,u,u). [para(6443(a,1),11822(a,1,3))]. 11824 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(12(a,1),9776(a,1,1)),flip(a)]. 11825 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(6719(a,1),11824(a,2,3))]. 11826 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(6719(a,1),11825(a,1,1))]. 11827 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(10201(a,1),11826(a,1,2))]. 11828 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(227,a,11196,a(flip),b,11827,a(flip)),flip(a)]. 11829 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(6444(a,1),11828(a,1,2)),flip(a)]. 11830 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(227,a,6444,a(flip),b,11829,a)]. 11833 L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * (y \ (((y * z) * u) / y)). [para(1257(a,1),9824(a,2,2))]. 11834 L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = (x * ((y / u) / z)) * (z * (u * (y \ 1))). [para(1875(a,1),11833(a,2,2))]. 11835 L(x,y \ (y \ ((y * z) * u)),y \ (y \ ((y * z) * u))) = L(x,(y / u) \ z,(y / u) \ z). [hyper(227,a,9823,a(flip),b,11834,a)]. 11836 L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (1 / z)) \ ((((z \ 1) \ 1) / y) \ x). [para(1057(a,1),9828(a,2,1,2))]. 11837 L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = (y * (1 / z)) \ (((z \ 1) \ (1 / y)) \ x). [para(318(a,1),11836(a,2,2,1))]. 11838 L(x,y * ((1 / y) * ((z \ y) \ 1)),y \ ((z \ 1) \ 1)) = L(x,y * (1 / z),y * (1 / z)). [hyper(227,a,1372,a(flip),b,11837,a)]. 11839 L(x,y \ ((z \ 1) \ 1),y \ ((z \ 1) \ 1)) = L(x,y * (1 / z),y * (1 / z)). [para(2175(a,1),11838(a,1,2))]. 11840 L(x,(y \ 1) * z,(y \ 1) * z) = L(x,z * (1 / y),z * (1 / y)). [hyper(9831,a,11839,a)]. 11841 L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = ((y * (z \ u)) * K(z,u)) \ (((z / u) / y) \ x). [para(5084(a,1),9829(a,2,1,2))]. 11842 L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = (y * (u * (z \ 1))) \ (((z / u) / y) \ x). [para(8192(a,1),11841(a,2,1))]. 11843 L(x,(y * (z \ u)) \ K(u,z),(y * (z \ u)) \ K(u,z)) = L(x,y \ (z / u),y \ (z / u)). [hyper(227,a,9826,a(flip),b,11842,a)]. 11844 L(x,K(y,z) * (u * (y \ z)),K(y,z) * (u * (y \ z))) = L(x,u \ (y / z),u \ (y / z)). [hyper(227,a,9942,a(flip),b,11843,a(flip)),flip(a)]. 11845 L(x,y \ (z / u),y \ (z / u)) = L(x,y * (z \ u),y * (z \ u)). [hyper(227,a,11823,a(flip),b,11844,a(flip))]. 11847 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,(u \ 1) * (y \ z),(u \ 1) * (y \ z)). [hyper(227,a,11581,a,b,11845,a(flip)),flip(a)]. 11848 L(x,(y / z) \ u,(y / z) \ u) = L(x,u * (y \ z),u * (y \ z)). [hyper(227,a,9830,a,b,11845,a(flip)),flip(a)]. 11849 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6103(a,1),9958(a,1,1)),flip(a)]. 11850 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(227,a,6436,a(flip),b,11849,a)]. 11852 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(227,a,5795,a(flip),b,11850,a)]. 11853 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(227,a,11396,a(flip),b,11852,a(flip)),flip(a)]. 11854 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(227,a,7097,a(flip),b,11853,a(flip)),flip(a)]. 11856 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(227,a,11379,a(flip),b,11854,a)]. 11857 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11856(a,1),5024(a,1,1))]. 11858 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11856(a,1),5161(a,1,1))]. 11859 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(227,a,11579,a(flip),b,11858,a)]. 11860 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(227,a,7439,a(flip),b,10940,a(flip))]. 11861 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7430,a,11860,a)]. 11863 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8163(a,1),11861(a,1,2))]. 11864 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(227,a,8091,a(flip),b,11863,a(flip)),flip(a)]. 11865 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8602(a,1),11010(a,1,1,1,2))]. 11866 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(5671(a,1),11601(a,1,1,2))]. 11867 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(714(a,1),11866(a,1,1))]. 11868 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(177(a,1),11867(a,1,2)),flip(a)]. 11869 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(227,a,2338,a(flip),b,11868,a)]. 11870 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(42(a,2),11869(a,2,3))]. 11871 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(11600,a,11870,a)]. 11872 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(10467,a,11871,a)]. 11874 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(227,a,11710,a(flip),b,11872,a(flip))]. 11876 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(227,a,11276,a,b,11874,a(flip)),flip(a)]. 11877 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9524,a,11876,a)]. 11878 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11877(a,1),11187(a,1,2)),flip(a)]. 11879 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(32(a,2),11878(a,2,2,2))]. 11880 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10407(a,1),11879(a,2,2))]. 11881 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(227,a,11417,a(flip),b,11880,a(flip)),flip(a)]. 11882 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(354(a,1),11881(a,1,2,3))]. 11883 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10227,a,11882,a)]. 11884 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11422,a,11883,a)]. 11885 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(227,a,11877,a(flip),b,11883,a(flip))]. 11886 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),11884(a,1,2)),flip(a)]. 11887 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(11886(a,1),10321(a,1,2)),flip(a)]. 11888 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(11886(a,1),10333(a,1,2)),flip(a)]. 11889 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(227,a,10426,a(flip),b,11887,a(flip))]. 11890 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(11885(a,1),10409(a,1,1))]. 11891 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(227,a,10395,a(flip),b,11890,a(flip)),flip(a)]. 11892 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(9726(a,1),11889(a,1,2,1)),flip(a)]. 11893 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(227,a,11888,a,b,11892,a)]. 11895 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(11893(a,1),11420(a,2,1,1))]. 11896 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(7687(a,1),11803(a,1,1)),flip(a)]. 11897 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(6555(a,2),11896(a,2,2))]. 11898 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(227,a,6602,a(flip),b,11897,a)]. 11899 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(7443(a,1),11898(a,1,1))]. 11900 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(227,a,5947,a(flip),b,11899,a(flip))]. 11902 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10188(a,1),11804(a,2,2))]. 11903 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5814(a,1),11805(a,1,1,2))]. 11904 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10475(a,1),11903(a,1,2))]. 11905 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8481(a,1),11904(a,1,2))]. 11907 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(6443(a,1),11905(a,2,2,1,1))]. 11908 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7490(a,1),11907(a,2,2,1))]. 11909 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7397(a,2),11908(a,2,2))]. 11910 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11909(a,2,2,1))]. 11911 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11910(a,1),6683(a,1,1,2))]. 11912 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11534(a,1),11865(a,1,1,1))]. 11913 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(7827(a,1),11902(a,2,2))]. 11914 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(227,a,6684,a(flip),b,11913,a)]. 11915 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(7442(a,1),11914(a,2,1))]. 11916 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(7721(a,1),11915(a,2,2))]. 11917 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(227,a,11512,a(flip),b,11916,a)]. 11919 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6497(a,1),11917(a,1,2,1))]. 11920 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(8459(a,1),11919(a,1,2))]. 11922 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(11920(a,1),11190(a,1,2))]. 11923 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(227,a,8322,a,b,11922,a(flip)),flip(a)]. 11924 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(9782(a,1),11923(a,1,1))]. 11925 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(227,a,10289,a(flip),b,11924,a(flip))]. 11926 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(11925(a,1),10207(a,1,1)),flip(a)]. 11927 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(227,a,10917,a(flip),b,11926,a(flip))]. 11928 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10640(a,1),11927(a,1,1)),flip(a)]. 11930 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(11928(a,1),11895(a,2,1))]. 11931 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11886(a,1),11930(a,2,1,1))]. 11933 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8131(a,1),11931(a,1,1,1))]. 11935 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10316(a,1),11933(a,1,1))]. 11936 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(8951(a,1),11935(a,1,1)),flip(a)]. 11937 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(72,a,11936,a(flip),b,826,a)]. 11939 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11036,a,11937,a),flip(a)]. 11940 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10215(a,1),11939(a,2,2))]. 11941 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(227,a,10221,a(flip),b,11940,a)]. 11944 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,11941,a)]. 11945 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(11944(a,1),11095(a,1,2))]. 11946 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10286(a,1),11945(a,1,1,2,1))]. 11947 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(507,a,11946,a),flip(a)]. 11948 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,10212,a(flip),b,11947,a)]. 11950 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(227,a,499,a,b,11948,a(flip)),flip(a)]. 11951 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(227,a,11884,a(flip),b,11948,a(flip)),flip(a)]. 11952 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(227,a,10360,a(flip),b,11948,a(flip))]. 11953 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(11948(a,1),109(a,1,1)),flip(a)]. 11954 L(a(x,y,x),z,u) = a(x,y,x). [para(11948(a,1),10099(a,1,1))]. 11956 L(x,y,a(z,u,z)) = x. [para(11948(a,1),11944(a,1,3))]. 11957 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(1167,a,11956,a)]. 11958 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(227,a,10213,a,b,11956,a),flip(a)]. 11959 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(11956(a,1),523(a,1,2))]. 11960 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(11956(a,1),467(a,1,2,1)),flip(a)]. 11963 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(11951(a,1),11891(a,1,2)),flip(a)]. 11966 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(11954(a,1),100(a,1,2))]. 11967 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(10243(a,1),11957(a,1,3))]. 11968 L(x,y,a(z,u,z)) != w | w = x. [para(11958(a,1),10225(a,1))]. 11969 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(8907(a,2),11967(a,1,2))]. 11971 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5447(a,1),11952(a,1,2)),flip(a)]. 11973 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(11953(a,1),24(a,2,1)),flip(a)]. 11974 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(11953(a,1),28(a,2,1)),flip(a)]. 11975 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) != v5 | a(x,a(y,z,y) * u,w) = v5. [para(11953(a,1),825(a,1,1,2))]. 11976 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(10212(a,1),11953(a,1,1))]. 11977 R(x,y,a(z,u,z)) = x. [hyper(10779,a,11966,a)]. 11978 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(10402,a,11977,a)]. 11979 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(227,a,10297,a(flip),b,11976,a)]. 11980 T(x,y * a(z,u,z)) = T(x,y). [hyper(11968,a,11978,a)]. 11981 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(11978(a,1),11968(a,1)),flip(b)]. 11984 T(x,a(y,z,y) \ u) = T(x,u). [para(10219(a,1),11980(a,1,2)),flip(a)]. 11985 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(227,a,4996,a(flip),b,11984,a)]. 11986 K(x,a(y,z,y) \ u) = K(x,u). [hyper(5047,a,11985,a)]. 11987 K(x,a(y,z,y) * u) = K(x,u). [para(13(a,1),11986(a,1,2)),flip(a)]. 11988 K(x,y * a(z,u,z)) = K(x,y). [para(10212(a,1),11987(a,1,2))]. 11989 K(x,y * R(z,u,z)) = K(x,y * z). [para(10249(a,1),11987(a,1,2))]. 11991 K(x,K(y,y * z) * u) = K(x,K(y,z) * u). [para(10210(a,1),11987(a,1,2)),flip(a)]. 11992 K(x,y * (K(z * u,z) * K(z,u))) = K(x,y). [para(8909(a,2),11988(a,1,2,2))]. 11993 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(2558(a,1),11989(a,1,2,2)),flip(a)]. 11994 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(7144(a,1),11989(a,1,2,2))]. 11995 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [para(5340(a,2),11991(a,1,2,1))]. 11996 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(5911(a,1),11991(a,1,2,1))]. 11997 K(x,(y * K(z * u,z)) * K(z,u)) = K(x,y). [para(8434(a,2),11992(a,1,2))]. 11998 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(227,a,4958,a(flip),b,11993,a)]. 11999 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11994(a,1),11449(a,1,2,1,1))]. 12000 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(5338(a,1),11995(a,1,2,1)),flip(a)]. 12001 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(11995(a,1),9010(a,1,1))]. 12002 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(6496(a,1),11997(a,1,2,1)),flip(a)]. 12003 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(5340(a,2),12002(a,1,2,2))]. 12004 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(12003(a,1),5101(a,1,2)),flip(a)]. 12005 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(227,a,8937,a(flip),b,11963,a)]. 12007 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10398,a,12005,a),flip(a)]. 12008 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(227,a,12000,a(flip),b,11996,a(flip))]. 12009 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(6673(a,1),12008(a,1,2))]. 12010 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(11998(a,2),5049(a,1))]. 12011 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(227,a,5101,a(flip),b,12004,a)]. 12012 K(x * K(x \ y,z),T(u,y)) != w | K(((z * (y \ x)) / z) * y,u) = w. [para(12011(a,1),8307(a,1))]. 12013 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(227,a,11041,a(flip),b,12007,a(flip)),flip(a)]. 12014 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(8749,a,12013,a)]. 12016 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(227,a,10944,a(flip),b,12014,a(flip)),flip(a)]. 12018 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(227,a,5946,a(flip),b,12016,a)]. 12019 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(227,a,9654,a(flip),b,12018,a(flip)),flip(a)]. 12021 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [hyper(227,a,10415,a(flip),b,12019,a(flip))]. 12022 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(15(a,1),12021(a,1,2,2,2,1)),flip(a)]. 12023 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(12022(a,1),7947(a,1,2))]. 12024 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10231(a,1),11950(a,1,1,1))]. 12025 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(227,a,11277,a(flip),b,11971,a(flip)),flip(a)]. 12026 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(109(a,1),12024(a,1,1))]. 12027 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(11979(a,1),12026(a,1,1,1))]. 12028 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),12027(a,1,2,1))]. 12029 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(10298(a,1),12028(a,1,1,1)),flip(a)]. 12030 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(227,a,30,a,b,12029,a)]. 12031 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),12030(a,1,2,2)),flip(a)]. 12032 a(x,R(y,z,u),x) = a(x,y,x). [hyper(227,a,11948,a(flip),b,12031,a(flip))]. 12034 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12032(a,1),8925(a,1,1))]. 12035 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12032(a,1),8941(a,1,1)),flip(a)]. 12036 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12032(a,1),10681(a,2,2,1))]. 12037 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(227,a,8941,a(flip),b,12035,a)]. 12038 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10255,a,12034,a)]. 12039 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12038(a,2),1940(a,1,1))]. 12040 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(227,a,10237,a(flip),b,12036,a)]. 12042 L(T(x,R(y,z,u)),y,T(x,w)) = T(x,x * R(y,z,u)). [hyper(227,a,10294,a,b,12039,a(flip)),flip(a)]. 12043 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9558,a,12001,a),flip(a)]. 12044 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(5595(a,1),12043(a,1,2,1))]. 12045 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7436(a,1),12044(a,2,2))]. 12046 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(11953(a,1),11974(a,1,2))]. 12047 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(8705(a,1),12023(a,1,1))]. 12048 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(227,a,8614,a(flip),b,12047,a(flip))]. 12049 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(11000,a,12048,a),flip(a)]. 12050 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(227,a,6262,a(flip),b,12049,a(flip))]. 12051 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(227,a,11565,a(flip),b,12050,a(flip))]. 12052 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(227,a,11748,a(flip),b,12051,a(flip)),flip(a)]. 12053 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5860(a,1),12052(a,1,1))]. 12057 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12053(a,1),9765(a,1,1,1,2))]. 12058 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11551,a,12057,a)]. 12059 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(154,a,12058,a),flip(a)]. 12060 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12058(a,1),154(a,1))]. 12061 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(227,a,12053,a(flip),b,12059,a(flip)),flip(a)]. 12062 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(227,a,11753,a(flip),b,12059,a(flip))]. 12068 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(9655,a,12061,a),flip(a)]. 12071 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12053(a,1),12060(a,1))]. 12072 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12071,a,12068,a)]. 12073 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(1158,a,12046,a)]. 12074 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(11968,a,12073,a)]. 12076 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(14(a,1),12074(a,1,3)),flip(a)]. 12077 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(8925(a,1),12074(a,1,3))]. 12078 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(8927(a,1),12074(a,1,3))]. 12079 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(8935(a,1),12074(a,1,3))]. 12080 L(x,y,L(z,u,z)) = L(x,y,z). [para(8947(a,1),12076(a,1,3))]. 12081 L(x,y,L(z,u,u)) = L(x,y,z). [para(5525(a,2),12080(a,1,3))]. 12082 L(x,y,(z \ 1) \ u) = L(x,y,z * u). [para(1348(a,1),12081(a,1,3))]. 12083 L(x,y,T(z,z * u)) = L(x,y,T(z,u)). [para(1567(a,2),12081(a,1,3))]. 12084 L(x,y,(z \ 1) * u) = L(x,y,z \ u). [para(1201(a,1),12077(a,1,3)),flip(a)]. 12085 L(x,y,(1 / z) \ u) = L(x,y,z * u). [para(1209(a,1),12077(a,1,3))]. 12086 L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). [para(14(a,1),12083(a,1,3,2)),flip(a)]. 12087 L(x,y,(((1 / z) * u) * w) \ v5) = L(x,y,(w \ (u \ z)) * v5). [para(314(a,1),12084(a,1,3,1)),flip(a)]. 12088 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [hyper(227,a,3311,a(flip),b,12086,a(flip)),flip(a)]. 12089 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(11953(a,1),11960(a,2,1))]. 12090 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(227,a,11959,a(flip),b,12089,a)]. 12091 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(30(a,2),12090(a,2,2))]. 12092 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(11956(a,1),12091(a,1,2))]. 12093 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(11953(a,1),11973(a,1,2,1))]. 12094 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5163(a,1),12025(a,2,2))]. 12095 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(8932,a,12094,a)]. 12096 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(11954(a,1),12095(a,1,1))]. 12097 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(227,a,10672,a(flip),b,12096,a)]. 12099 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),12097(a,2,2))]. 12100 a(x,L(y,z,u),x) = a(x,y,x). [hyper(227,a,11954,a(flip),b,12099,a(flip))]. 12102 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(219(a,1),12100(a,1,2))]. 12103 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(2858(a,2),12100(a,1,2)),flip(a)]. 12104 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12100(a,1),8912(a,1,2)),flip(a)]. 12105 R(x,L(y,z,u),x) = R(x,y,x). [hyper(227,a,8912,a(flip),b,12104,a)]. 12106 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(227,a,11274,a(flip),b,12102,a(flip))]. 12107 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(12103(a,1),8947(a,1,1)),flip(a)]. 12108 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(227,a,8947,a(flip),b,12107,a)]. 12109 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(11953(a,1),12093(a,1,2))]. 12110 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(1160,a,12109,a)]. 12111 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(11968,a,12110,a)]. 12113 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),12111(a,1,1)),flip(a)]. 12114 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(8927(a,1),12111(a,1,1))]. 12115 a(x / a(y,z,y),u,w) = a(x,u,w). [para(10220(a,2),12113(a,1,1))]. 12116 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(14(a,1),12114(a,1,1,1)),flip(a)]. 12117 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(5335(a,1),12114(a,1,1))]. 12118 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(4220(a,1),12117(a,1,1)),flip(a)]. 12119 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12061(a,1),12117(a,2,1))]. 12120 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11051(a,2),12118(a,2,1)),flip(a)]. 12121 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(227,a,12117,a(flip),b,12119,a(flip)),flip(a)]. 12122 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(7981(a,1),12120(a,2,1))]. 12123 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(227,a,12118,a(flip),b,12122,a)]. 12124 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11051(a,1),12123(a,1,1))]. 12125 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(227,a,12121,a(flip),b,12124,a)]. 12126 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(6965(a,1),12045(a,1,2,2,2))]. 12128 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7434(a,2),12126(a,1,2,2))]. 12129 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(7512(a,1),12128(a,1,2)),flip(a)]. 12130 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(227,a,6483,a(flip),b,12129,a)]. 12131 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [para(7250(a,1),12130(a,1,2,1,1))]. 12134 K(x,y \ K(z,u \ 1)) != w | K(x,y \ K(u,z)) = w. [para(12131(a,1),6485(a,1))]. 12135 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(28(a,2),12106(a,1,2,2))]. 12136 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(9623(a,1),12135(a,1,2))]. 12137 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(227,a,10938,a(flip),b,12136,a(flip)),flip(a)]. 12138 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(227,a,10672,a(flip),b,12137,a),flip(a)]. 12140 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(147(a,1),12138(a,1,2,2))]. 12141 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12140(a,1),10396(a,1,1,2))]. 12142 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(227,a,10645,a(flip),b,11999,a(flip))]. 12143 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(9365(a,1),7218(a,1,2,1))]. 12144 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(227,a,9355,a(flip),b,12143,a)]. 12145 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(9364(a,1),12144(a,1,1))]. 12146 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(227,a,9783,a,b,12145,a(flip)),flip(a)]. 12147 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5917(a,1),12146(a,1,1))]. 12148 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(227,a,2244,a(flip),b,12147,a(flip))]. 12149 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(227,a,9363,a(flip),b,12148,a(flip)),flip(a)]. 12150 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12149(a,1),65(a,1,1))]. 12151 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12150(a,1),1603(a,1,1))]. 12152 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12151(a,1),7374(a,1,2,1))]. 12153 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(227,a,8995,a(flip),b,12152,a(flip))]. 12154 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(50(a,1),12153(a,1,2)),flip(a)]. 12155 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(227,a,5344,a(flip),b,12154,a)]. 12156 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(227,a,6216,a(flip),b,12155,a)]. 12158 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(227,a,8993,a(flip),b,12156,a)]. 12159 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),12158(a,1,2,1,1,1)),flip(a)]. 12160 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(8728,a,12159,a),flip(a)]. 12161 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(8366,a,12160,a)]. 12162 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(227,a,9380,a(flip),b,12160,a(flip)),flip(a)]. 12163 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(227,a,12142,a(flip),b,12161,a(flip))]. 12164 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),12162(a,1,2,1,1)),flip(a)]. 12165 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(227,a,8527,a,b,12164,a(flip)),flip(a)]. 12166 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(12163(a,1),6914(a,1,1))]. 12167 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(227,a,8528,a(flip),b,12165,a(flip))]. 12168 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(6709,a,12167,a)]. 12170 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(227,a,10497,a(flip),b,12168,a(flip))]. 12172 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(113(a,1),12170(a,1,2,1,1,2))]. 12173 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(227,a,8731,a(flip),b,12172,a(flip))]. 12174 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8235,a,12173,a)]. 12175 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(227,a,8340,a(flip),b,12174,a)]. 12176 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(65(a,1),12175(a,2,2,1,1))]. 12177 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(227,a,11747,a(flip),b,12176,a),flip(a)]. 12179 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(12177(a,2),6914(a,1,1))]. 12180 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(227,a,6921,a(flip),b,12179,a(flip)),flip(a)]. 12181 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(227,a,6914,a(flip),b,12166,a(flip))]. 12182 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(227,a,8760,a(flip),b,12181,a(flip))]. 12183 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(62(a,1),12182(a,2,2,2))]. 12184 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(227,a,12180,a,b,12183,a(flip)),flip(a)]. 12186 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12061(a,1),12184(a,1,1))]. 12187 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12060,a,12186,a)]. 12188 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(227,a,12061,a(flip),b,12187,a)]. 12189 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(227,a,12072,a(flip),b,12188,a(flip))]. 12191 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(227,a,12062,a(flip),b,12189,a(flip))]. 12192 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(12191(a,2),5004(a,2,1)),flip(a)]. 12193 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5005,a,12192,a)]. 12194 L(T(x,R(y,z,u)),y,T(x,w)) = T(x,R(x * y,z,u)). [hyper(227,a,12042,a,b,12193,a),flip(a)]. 12195 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(11103,a,12194,a)]. 12196 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(4196(a,2),12195(a,2,2,1))]. 12197 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9216(a,1),8471(a,1,1,2))]. 12198 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8470(a,1),12197(a,1,2,1))]. 12199 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(4643(a,1),12198(a,1,2,2))]. 12200 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(4361(a,1),12199(a,1,2)),flip(a)]. 12202 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8470(a,1),12200(a,1,2,1))]. 12203 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9216(a,1),12202(a,1,2)),flip(a)]. 12204 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8470(a,1),12203(a,2,3))]. 12205 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(227,a,11969,a(flip),b,12204,a)]. 12207 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10542(a,2),12205(a,1,1,2))]. 12208 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(8464,a,12207,a)]. 12209 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(6829,a,12208,a)]. 12210 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12209(a,1),6007(a,1,1)),flip(a)]. 12211 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(227,a,9204,a(flip),b,12210,a)]. 12212 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(1960(a,1),12211(a,1,2))]. 12213 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(8288(a,1),12211(a,1,1))]. 12214 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(6670(a,2),12212(a,1,1))]. 12215 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(9218(a,1),12213(a,1,1,1))]. 12216 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(227,a,10633,a(flip),b,12214,a(flip)),flip(a)]. 12218 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(65(a,1),12216(a,1,2,2)),flip(a)]. 12219 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),12218(a,1,2))]. 12220 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * (((1 / (1 / y)) \ z) * x). [para(805(a,1),5320(a,2,2,1))]. 12221 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = ((1 / z) * ((y \ 1) \ 1)) * ((((y \ 1) \ 1) \ z) * x). [para(1058(a,1),12220(a,2,2,1,1))]. 12222 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = T(T(x,((y \ 1) \ 1) \ z),z \ ((y \ 1) \ 1)). [hyper(227,a,9401,a(flip),b,12221,a)]. 12223 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) = T(T(x,(y \ 1) * z),z \ ((y \ 1) \ 1)). [para(6044(a,1),12222(a,2,1))]. 12224 L(x,((y \ z) \ z) * (1 / z),((y \ z) \ z) * (1 / z)) != u | L(x,(y \ 1) * z,(y \ 1) * z) = u. [para(12223(a,2),1143(a,1))]. 12225 L(x,y \ z,((y \ z) \ z) * (1 / z)) = L(x,(y \ 1) * z,(y \ 1) * z). [hyper(12224,a,10965,a),flip(a)]. 12226 L(x,(y \ 1) * z,(y \ 1) * z) = L(x,y \ z,(y \ z) \ 1). [hyper(227,a,4925,a(flip),b,12225,a(flip))]. 12228 L(x,(y \ 1) * z,(y \ 1) * z) = L(x,y \ z,y \ z). [hyper(227,a,3611,a(flip),b,12226,a)]. 12229 L(x,(y / z) * L(u,y \ z,y \ z),(1 / (y / z)) \ u) = L(x,u \ (y \ z),u \ (y \ z)). [hyper(227,a,11847,a,b,12228,a(flip)),flip(a)]. 12230 L(x,y * (1 / z),y * (1 / z)) = L(x,z \ y,z \ y). [hyper(227,a,11840,a(flip),b,12228,a(flip)),flip(a)]. 12231 L(x,y \ (y \ z),y \ (y \ z)) = L(x,y * (z \ y),y * (z \ y)). [hyper(10759,a,12230,a),flip(a)]. 12232 L(x,y * (1 / z),y * (z \ 1)) = L(x,z \ y,z \ y). [hyper(227,a,4922,a(flip),b,12230,a(flip)),flip(a)]. 12233 L(x,y \ (y \ z),y \ (y \ z)) != u | L(x,y * (z \ y),y * (z \ y)) = u. [para(12230(a,1),10759(a,1))]. 12234 L(x,(y / z) \ u,(y / z) \ u) != w | L(x,y * (((y * u) * z) \ y),y * (((y * u) * z) \ y)) = w. [para(11835(a,1),12233(a,1))]. 12235 L(x,(1 / (y / z)) \ u,(1 / (y / z)) \ u) = L(x,u \ (y \ z),u \ (y \ z)). [para(9815(a,1),12229(a,1,2))]. 12236 L(x,y \ (z \ u),y \ (z \ u)) != w | L(x,y * (z / u),y * (z / u)) = w. [para(12235(a,1),10048(a,1))]. 12237 L(x,y * (((y * z) * u) \ y),y * (((y * z) * u) \ y)) = L(x,z * (y \ u),z * (y \ u)). [hyper(12234,a,11848,a)]. 12238 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11641(a,1),12196(a,1,1))]. 12239 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(65(a,1),12238(a,1,1,2,1,2,1))]. 12240 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10135(a,1),12239(a,1,1))]. 12241 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(227,a,10694,a(flip),b,12240,a(flip)),flip(a)]. 12243 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(65(a,1),12241(a,1,2,2,1)),flip(a)]. 12244 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(227,a,11066,a(flip),b,12243,a)]. 12246 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(227,a,12195,a(flip),b,12244,a)]. 12247 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),12246(a,2,2,1))]. 12248 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(4196(a,1),12247(a,1,2,1))]. 12249 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7399(a,1),8369(a,1,2,1,2))]. 12250 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(8438(a,1),8442(a,1,1,2,1,1)),flip(a)]. 12251 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(13(a,1),12250(a,2,1,2,1))]. 12253 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8438(a,1),12251(a,1,1)),flip(a)]. 12254 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(3075(a,1),12253(a,2,2))]. 12255 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(227,a,9424,a,b,12254,a(flip)),flip(a)]. 12256 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(293,a,12255,a)]. 12257 K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((x / y) * z)) * (1 / (u * (x \ ((x / y) * z)))). [para(1508(a,1),8595(a,2,2,2,2))]. 12258 K(x \ ((1 / y) * (z / x)),((1 / y) * (z / x)) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [hyper(227,a,3364,a(flip),b,12257,a)]. 12259 K(x \ ((1 / y) * (z / x)),((z / x) \ y) * x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [para(8330(a,1),12258(a,1,1))]. 12260 K(((x / y) \ z) * y,(((x / y) \ z) * y) \ 1) / u = (y \ ((x / y) \ z)) * ((y \ ((y / z) * x)) / u). [para(8303(a,1),12259(a,1,1))]. 12261 K(((x / y) \ z) * y,y \ ((z \ 1) * (x / y))) / u = (y \ ((x / y) \ z)) * ((y \ ((y / z) * x)) / u). [para(9200(a,1),12260(a,1,1))]. 12262 (x * ((y * (1 / (1 * y))) \ z)) / (u / ((z \ y) * (1 / y))) = (x / ((z \ 1) * (u * K(y,y \ 1)))) * ((z \ y) * (1 / y)). [para(9262(a,1),9880(a,1,1,2))]. 12263 (1 / T(x,(y * z) \ K(u \ w,w \ u))) \ (y * (z * K(u \ w,w \ u))) = (y * (z * K(u \ w,w \ u))) * x. [para(6542(a,1),9900(a,1,1,2,2))]. 12264 T(((1 / x) * (((y \ 1) \ 1) * z)) * (y * ((z \ 1) \ 1)),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). [para(1072(a,1),10369(a,2,1))]. 12265 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7432(a,1),12249(a,1,2,1,2))]. 12266 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7423(a,1),12265(a,1,2,1,2))]. 12267 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(4985(a,1),12266(a,1,2,1))]. 12268 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(227,a,5829,a,b,12267,a(flip)),flip(a)]. 12269 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(7453(a,1),12268(a,1,1)),flip(a)]. 12270 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1475(a,1),12269(a,2,2))]. 12271 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(227,a,7469,a(flip),b,12270,a)]. 12272 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * ((u * (1 / u)) \ y)) / (z / ((y \ u) * (1 / u))). [para(11(a,1),12262(a,1,1,2,1,2,2)),flip(a)]. 12273 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) \ y)) / (z / ((y \ u) * (1 / u))). [para(2255(a,2),12272(a,2,1,2,1))]. 12274 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) * y)) / (z / ((y \ u) * (1 / u))). [para(6479(a,1),12273(a,2,1,2))]. 12275 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = (x * (K(u,u \ 1) * y)) / ((u * (1 / (z * u))) \ y). [para(9262(a,1),12274(a,2,2))]. 12276 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = K(u,u \ 1) * ((x * y) / ((u * (1 / (z * u))) \ y)). [hyper(227,a,9168,a(flip),b,12275,a)]. 12277 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = K(z,z \ 1) * ((x * y) / ((z * (1 / (u * z))) \ y)). [para(9166(a,1),12276(a,1,1,2))]. 12278 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / (T((1 / (u * z)) * z,z \ 1) \ y). [hyper(227,a,9325,a(flip),b,12277,a)]. 12279 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / (T(1 / T(u,z),z \ 1) \ y). [para(336(a,1),12278(a,2,2,1,1))]. 12280 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = (x * y) / ((1 / u) \ y). [para(1578(a,1),12279(a,2,2,1))]. 12282 T(((1 / x) / (y \ (1 / z))) / (y \ (1 / z)),y \ (z \ 1)) = (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y). [para(4105(a,1),12264(a,1,1))]. 12283 T((1 / ((x \ (1 / y)) * z)) / (x \ (1 / y)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). [para(325(a,1),12282(a,1,1,1))]. 12284 T(1 / ((x \ (1 / y)) * ((x \ (1 / y)) * z)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). [para(325(a,1),12283(a,1,1))]. 12285 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(6443(a,1),9607(a,1,1,1))]. 12286 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(11005(a,1),12285(a,1,1))]. 12287 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6164,a,12286,a)]. 12289 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(227,a,11537,a(flip),b,12287,a(flip)),flip(a)]. 12290 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(11532,a,12289,a),flip(a)]. 12291 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(227,a,11522,a(flip),b,12290,a)]. 12292 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(227,a,11515,a(flip),b,12291,a)]. 12293 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(6164,a,12292,a)]. 12295 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12293(a,1),5145(a,1,1))]. 12296 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11006(a,1),12295(a,1,2))]. 12297 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(75,a,12296,a)]. 12298 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7442(a,1),12296(a,1,2,1))]. 12299 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(6490,a,12297,a)]. 12300 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(3079,a,12297,a)]. 12301 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(5578(a,1),12297(a,1,2))]. 12302 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8802(a,1),12297(a,1,2))]. 12303 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12297(a,1),10159(a,1,1)),flip(a)]. 12304 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12297(a,1),11525(a,2,2))]. 12305 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12059(a,1),12297(a,1,2))]. 12306 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12297(a,1),12256(a,1,1,2))]. 12307 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12299(a,1),10421(a,1,1)),flip(a)]. 12308 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12300(a,1),9787(a,2,2))]. 12309 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(12305(a,1),11497(a,1,1)),flip(a)]. 12310 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12305(a,1),11530(a,1,1))]. 12312 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(227,a,12305,a(flip),b,12302,a(flip))]. 12313 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(6490,a,12303,a)]. 12314 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12297(a,1),12306(a,1,2))]. 12315 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(72,a,114,a(flip),b,12314,a)]. 12316 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12309(a,1),11912(a,1,1,1))]. 12317 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(227,a,8962,a(flip),b,12313,a(flip)),flip(a)]. 12318 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(227,a,12117,a(flip),b,12301,a)]. 12319 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8601(a,1),12298(a,1,2,2))]. 12320 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11534(a,1),12319(a,1,2))]. 12321 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(8679(a,1),12317(a,1,2))]. 12322 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(6182,a,12321,a)]. 12323 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(227,a,9786,a,b,12322,a)]. 12324 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12059(a,1),12323(a,2,1,2))]. 12325 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4996(a,2),12324(a,2,1))]. 12326 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(227,a,12195,a(flip),b,12325,a)]. 12327 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(227,a,12308,a(flip),b,12307,a)]. 12328 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(371(a,1),12316(a,1,1)),flip(a)]. 12329 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(227,a,8681,a(flip),b,12328,a)]. 12330 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7399(a,1),12329(a,1,2,1,1))]. 12331 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8602(a,1),12330(a,1,2,1))]. 12332 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5004(a,2),12331(a,1,2))]. 12333 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(227,a,8860,a,b,12332,a(flip)),flip(a)]. 12334 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7435(a,1),12333(a,1,1))]. 12335 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11502,a,12334,a)]. 12336 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(227,a,12304,a(flip),b,12335,a(flip))]. 12337 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4996,a(flip),b,12336,a)]. 12338 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12310,a,12337,a)]. 12339 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12338(a,1),12320(a,1,2))]. 12340 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(75,a,12339,a),flip(a)]. 12341 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(227,a,12337,a,b,12340,a)]. 12342 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7428(a,1),12340(a,1,1))]. 12343 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7428(a,1),12341(a,1,1))]. 12344 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12312(a,2),12341(a,2,1)),flip(a)]. 12345 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(227,a,12343,a,b,12344,a(flip)),flip(a)]. 12346 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(5286(a,1),8768(a,1,1,1))]. 12347 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5245(a,1),5328(a,1,1))]. 12348 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5245(a,1),12347(a,1,2,1,1)),flip(a)]. 12349 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5084(a,1),12348(a,2,2,1))]. 12350 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(5578(a,1),12349(a,2,2))]. 12351 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(4957(a,1),12350(a,1,1,1)),flip(a)]. 12352 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(5578(a,1),12351(a,2,1,2))]. 12353 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(227,a,12301,a(flip),b,12352,a(flip))]. 12354 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(227,a,12119,a(flip),b,12353,a)]. 12355 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12318(a,1),12354(a,1,1)),flip(a)]. 12356 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5867(a,1),12215(a,1,1))]. 12357 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14(a,1),12356(a,1,2,2,1,2))]. 12359 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(1960(a,1),12357(a,1,2))]. 12360 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9548(a,1),12359(a,1,2))]. 12361 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(1977(a,1),12360(a,1,2)),flip(a)]. 12362 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(227,a,5794,a(flip),b,12361,a)]. 12363 L(x,y / z,x) = L(x,z \ y,x). [hyper(227,a,12219,a(flip),b,12362,a(flip))]. 12365 L(x,(y \ z) \ z,x) = L(x,y,x). [para(62(a,1),12363(a,1,2)),flip(a)]. 12366 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(4647(a,2),12363(a,1,2))]. 12367 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5155(a,2),12363(a,1,2))]. 12369 L(x,y * K(z,y),x) = L(x,y,x). [para(5493(a,1),12365(a,1,2)),flip(a)]. 12370 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5449(a,1),12369(a,1,2))]. 12371 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(227,a,12370,a(flip),b,12367,a(flip))]. 12373 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(227,a,12040,a(flip),b,12371,a(flip))]. 12375 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),12373(a,2,2))]. 12376 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),12366(a,2,2))]. 12377 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(227,a,12375,a(flip),b,12376,a(flip)),flip(a)]. 12379 (1 / (((1 / x) * y) * (z \ (1 / x)))) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * z)) = ((((x \ 1) \ 1) * z) / y) * (((x \ 1) \ 1) * z). [para(1072(a,1),3491(a,1,1))]. 12380 (T(1 / x,y) \ (1 / y)) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). [para(5317(a,1),9435(a,1,1,1))]. 12381 T((1 / x) \ (y \ 1),y) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z) = (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z). [para(6162(a,1),12380(a,1,1))]. 12382 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * (((((x \ y) \ y) \ 1) \ (1 / y)) * z). [para(1619(a,1),12381(a,1,1)),flip(a)]. 12383 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * ((T(1 / x,y) \ (1 / y)) * z). [para(5317(a,1),12382(a,2,2,1,1))]. 12384 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * (T((1 / x) \ (y \ 1),y) * z). [para(6162(a,1),12383(a,2,2,1))]. 12385 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = (((y \ 1) \ 1) \ x) * ((((y \ 1) \ 1) \ x) * z). [para(1619(a,1),12384(a,2,2,1))]. 12386 (((x \ y) \ y) * (1 / y)) * (((1 / y) * ((x \ 1) \ 1)) * z) = ((y \ 1) * x) * (((y \ 1) * x) * z). [hyper(227,a,9431,a(flip),b,12385,a)]. 12387 (x \ ((y \ 1) \ 1)) * ((x \ ((y \ 1) \ 1)) * z) = ((x \ 1) * y) * (((x \ 1) * y) * z). [hyper(227,a,9433,a(flip),b,12386,a(flip)),flip(a)]. 12388 (T(1 / x,y) \ (1 / y)) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). [para(5317(a,1),10058(a,1,1,1))]. 12389 T((1 / x) \ (y \ 1),y) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))) = (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))). [para(6162(a,1),12388(a,1,1))]. 12390 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * ((((x \ y) \ y) \ 1) \ (1 / y))). [para(1619(a,1),12389(a,1,1)),flip(a)]. 12391 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * (T(1 / x,y) \ (1 / y))). [para(5317(a,1),12390(a,2,2,2,1))]. 12392 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * T((1 / x) \ (y \ 1),y)). [para(6162(a,1),12391(a,2,2,2))]. 12393 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = (((y \ 1) \ 1) \ x) * (z * (((y \ 1) \ 1) \ x)). [para(1619(a,1),12392(a,2,2,2))]. 12394 (((x \ y) \ y) * (1 / y)) * (z * ((1 / y) * ((x \ 1) \ 1))) = ((y \ 1) * x) * (z * ((y \ 1) * x)). [hyper(227,a,10056,a(flip),b,12393,a)]. 12395 ((x \ 1) * y) \ (z / ((x \ 1) * y)) = ((y \ 1) * x) * (z * ((y \ 1) * x)). [hyper(227,a,11713,a(flip),b,12394,a(flip)),flip(a)]. 12396 (1 / ((1 / x) * ((y / z) \ (1 / x)))) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(3336(a,1),12379(a,1,1,2))]. 12397 (1 / (((x / y) * z) \ (1 / z))) * (((z \ 1) \ 1) * ((1 / ((z \ 1) \ 1)) * x)) = ((((z \ 1) \ 1) * x) / y) * (((z \ 1) \ 1) * x). [para(783(a,1),12396(a,1,1,2))]. 12398 ((1 / (1 / x)) * ((y / z) * x)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(313(a,1),12397(a,1,1))]. 12399 (((x \ 1) \ 1) * ((y / z) * x)) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(1058(a,1),12398(a,1,1,1))]. 12400 (((x \ 1) \ (y / z)) * x) * (((x \ 1) \ 1) * ((1 / ((x \ 1) \ 1)) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(3488(a,1),12399(a,1,1))]. 12401 (((x \ 1) \ (y / z)) * x) * (((x \ 1) \ 1) * ((x \ 1) * y)) = ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y). [para(62(a,1),12400(a,1,2,2,1))]. 12403 ((((x \ 1) \ 1) * y) / z) * (((x \ 1) \ 1) * y) = (((x \ 1) \ (y / z)) * x) * (x * ((1 / x) * y)). [para(3765(a,1),12401(a,1,2)),flip(a)]. 12404 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (((z \ 1) \ (y / x)) * z) * (z * ((1 / z) * y)). [para(1072(a,1),12403(a,1,1))]. 12405 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7428(a,1),10299(a,1,1,3,1))]. 12406 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6199(a,1),10314(a,1,2,1))]. 12407 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4792(a,1),12406(a,1,2,2)),flip(a)]. 12408 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(7715(a,1),12407(a,2,2))]. 12409 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(13(a,1),12408(a,2,2,1))]. 12410 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11802(a,1),12409(a,1,1,2))]. 12411 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8057(a,1),12410(a,1,1))]. 12413 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11802(a,1),12411(a,1,2,1))]. 12414 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8344(a,1),12413(a,1,2))]. 12415 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(6752(a,1),12414(a,1,2))]. 12416 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6920(a,1),12415(a,1,2)),flip(a)]. 12417 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(227,a,6942,a,b,12416,a)]. 12419 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7262(a,1),12405(a,1,1,3))]. 12420 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(6582(a,2),12419(a,1,1,3))]. 12422 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7428(a,1),12420(a,1,2,1,1))]. 12423 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(10190(a,1),12422(a,1,2))]. 12424 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7428(a,1),12423(a,2,2,1))]. 12425 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(7262(a,1),12424(a,2,2))]. 12426 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(6582(a,2),12425(a,2,2))]. 12428 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(8441(a,1),12426(a,1,1))]. 12429 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(10283,a,12428,a),flip(a)]. 12430 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(227,a,3073,a(flip),b,12429,a(flip)),flip(a)]. 12431 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [hyper(6836,a,12430,a)]. 12432 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(227,a,11273,a(flip),b,12431,a)]. 12433 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(17,a,7854,a,b,12432,a),flip(a)]. 12434 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(12433(a,1),5022(a,2,2,2)),flip(a)]. 12435 T(x,T(y * x,z)) = T(x,x * T(y,z)). [hyper(6597,a,12434,a)]. 12436 T(x,x * T(y,z)) != u | T(x,T(y * x,z)) = u. [para(12434(a,1),6597(a,1))]. 12437 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(8403(a,1),8836(a,1,1)),flip(a)]. 12438 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(227,a,6937,a,b,12437,a)]. 12440 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5795(a,1),12438(a,2,1))]. 12441 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12105(a,1),12440(a,1,2,1))]. 12442 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12105(a,1),12441(a,1,2,2,1))]. 12444 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(2461(a,2),12442(a,1,2))]. 12446 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(2530(a,1),12444(a,1,2,2))]. 12447 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(8376(a,1),12446(a,1,2))]. 12448 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(889(a,1),12447(a,1,2)),flip(a)]. 12449 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(227,a,4066,a(flip),b,12448,a(flip)),flip(a)]. 12450 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(72,a,12449,a(flip),b,4996,a(flip))]. 12452 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(8902,a,12450,a),flip(a)]. 12453 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(227,a,11380,a(flip),b,12452,a)]. 12454 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),12453(a,1,1))]. 12455 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(227,a,9020,a(flip),b,12454,a(flip)),flip(a)]. 12456 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11338(a,1),12455(a,2,3))]. 12457 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(227,a,11432,a(flip),b,12456,a)]. 12459 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(8168,a,12457,a)]. 12460 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(227,a,5838,a,b,12459,a(flip)),flip(a)]. 12461 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),12459(a,1,2))]. 12462 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12459(a,1),6455(a,1,2,1)),flip(a)]. 12463 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(227,a,10151,a(flip),b,12462,a)]. 12464 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12463(a,1),11435(a,1,3)),flip(a)]. 12465 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(227,a,11438,a(flip),b,12464,a(flip)),flip(a)]. 12466 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12464(a,1),9584(a,1,2))]. 12467 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12465(a,1),11557(a,1,1))]. 12468 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(5428,a,12461,a)]. 12469 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(8149,a,12468,a)]. 12470 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11341(a,1),12469(a,2,3))]. 12471 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(65(a,1),12470(a,2,3,1))]. 12474 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12471(a,1),6455(a,1,2,1)),flip(a)]. 12475 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(227,a,10151,a(flip),b,12474,a)]. 12476 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12475(a,1),4996(a,2,2))]. 12477 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12108(a,1),12460(a,1,2))]. 12478 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(6408,a,12477,a)]. 12479 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(7760,a,12478,a)]. 12480 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9963(a,1),12466(a,1,2)),flip(a)]. 12481 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(227,a,12,a(flip),b,12480,a)]. 12483 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12481(a,1),6455(a,1,2,1)),flip(a)]. 12484 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(227,a,6455,a(flip),b,12483,a)]. 12485 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12484(a,1),4996(a,2,2))]. 12486 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(227,a,4996,a,b,12485,a)]. 12487 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12486(a,1),12479(a,1,2,1))]. 12488 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5232,a,12487,a)]. 12489 a(x,y,K(z,u)) != w | K(z,z * a(x,y,u)) = w. [para(12487(a,1),5232(a,1))]. 12490 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9964(a,1),12467(a,1,1))]. 12491 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(75,a,12490,a)]. 12493 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(9072,a,12491,a)]. 12494 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12493(a,1),4996(a,2,2)),flip(a)]. 12497 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5001,a,12494,a),flip(a)]. 12498 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12497(a,2),829(a,1,1))]. 12500 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(227,a,12476,a(flip),b,12498,a)]. 12501 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(8403(a,1),8837(a,1,1)),flip(a)]. 12502 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(227,a,6937,a,b,12501,a)]. 12504 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5795(a,1),12502(a,2,1))]. 12505 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(227,a,9904,a(flip),b,12504,a)]. 12506 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(2464(a,2),12505(a,1,2))]. 12507 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8261(a,1),12506(a,1,2,1))]. 12508 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(2461(a,2),12507(a,1,2,1))]. 12510 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12037(a,1),12508(a,1,2))]. 12511 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(891(a,1),12510(a,1,2)),flip(a)]. 12513 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12511(a,1),4953(a,2,2)),flip(a)]. 12514 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(227,a,12417,a(flip),b,12513,a(flip)),flip(a)]. 12515 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12302(a,1),12514(a,1,1))]. 12516 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5286(a,1),11472(a,1,1,1))]. 12517 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(7887(a,1),11473(a,1,1,1))]. 12518 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(10311(a,1),12517(a,1,2)),flip(a)]. 12519 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(227,a,9477,a(flip),b,12518,a)]. 12520 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(6185(a,1),12519(a,2,1,2))]. 12521 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(6949(a,1),12520(a,2,1))]. 12522 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3009(a,1),12521(a,2,1,1))]. 12523 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6633(a,1),12522(a,2,2))]. 12524 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(227,a,9773,a(flip),b,12523,a)]. 12526 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11470(a,1),12524(a,1,1))]. 12527 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11470(a,1),12516(a,1,1))]. 12528 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11470(a,1),12527(a,1,2,1))]. 12529 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5286(a,1),12528(a,1,2,2,2))]. 12530 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(12526(a,1),12529(a,1,2)),flip(a)]. 12531 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(227,a,10311,a(flip),b,12530,a)]. 12533 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5286(a,1),12531(a,1,2,1))]. 12534 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11470(a,1),12533(a,1,2))]. 12535 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(12534(a,1),65(a,1,1))]. 12536 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12535(a,1),4131(a,1,1,1))]. 12537 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10241(a,1),10292(a,2,2,1,1))]. 12538 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(227,a,2781,a(flip),b,12537,a)]. 12539 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(3212(a,1),12538(a,2,2))]. 12540 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(1631(a,1),12539(a,2,2,1))]. 12541 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1909(a,1),12540(a,2,2,1,2))]. 12542 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(2781(a,1),12541(a,1,1))]. 12543 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12092(a,2),12542(a,1,1,2))]. 12544 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),12543(a,1,1,2,1)),flip(a)]. 12545 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(227,a,8795,a(flip),b,9370,a)]. 12546 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(227,a,7434,a(flip),b,12545,a)]. 12547 (K(x,x \ 1) * ((y \ x) \ 1)) * (((x \ 1) \ ((1 / x) * ((y \ x) \ 1))) * z) = (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z). [para(3715(a,1),9436(a,1,1))]. 12548 (((x \ y) \ y) * (1 / y)) * (((y \ 1) \ ((1 / y) * ((x \ y) \ 1))) * z) = (y \ ((x \ 1) \ 1)) * ((y * ((1 / y) * ((x \ y) \ 1))) * z). [para(3676(a,1),12547(a,1,1))]. 12549 (((x \ y) \ y) * (1 / y)) * ((K(y,y \ 1) * ((x \ y) \ 1)) * z) = (y \ ((x \ 1) \ 1)) * ((y * ((1 / y) * ((x \ y) \ 1))) * z). [para(3715(a,1),12548(a,1,2,1))]. 12550 (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = (((y \ x) \ x) * (1 / x)) * ((((y \ x) \ x) * (1 / x)) * z). [para(3676(a,1),12549(a,1,2,1)),flip(a)]. 12551 (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = ((y \ x) \ 1) * (((y \ x) \ 1) * z). [hyper(227,a,11764,a(flip),b,12550,a)]. 12553 (x \ ((y \ 1) \ 1)) * ((x * ((1 / x) * ((y \ x) \ 1))) * z) = (x \ y) * ((x \ y) * z). [hyper(227,a,9432,a(flip),b,12551,a)]. 12554 (x \ ((y \ 1) \ 1)) * ((x \ ((y \ 1) \ 1)) * z) = (x \ y) * ((x \ y) * z). [para(2175(a,1),12553(a,1,2,1))]. 12555 ((x \ 1) * y) * (((x \ 1) * y) * z) = (x \ y) * ((x \ y) * z). [hyper(227,a,12387,a(flip),b,12554,a(flip)),flip(a)]. 12556 (x \ (1 / y)) * ((x \ (1 / y)) * z) = (x \ (y \ 1)) * ((x \ (y \ 1)) * z). [hyper(227,a,10974,a(flip),b,12555,a(flip))]. 12557 T(1 / ((x \ (y \ 1)) * ((x \ (y \ 1)) * z)),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). [para(12556(a,1),12284(a,1,1,2))]. 12558 T(((((x \ (y \ 1)) * z) \ 1) \ 1) \ (y * x),x \ (y \ 1)) = (1 / (z * (x \ (1 / y)))) * (((y \ 1) \ 1) * x). [para(1128(a,1),12557(a,1,1))]. 12559 T(((x \ ((y \ (z \ 1)) \ 1)) \ 1) \ (z * y),y \ (z \ 1)) = (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y). [para(123(a,1),12558(a,1,1,1,1))]. 12560 T(((1 / (x * y)) * ((z \ 1) \ 1)) \ (x * y),y \ (x \ 1)) = (1 / (z * (y \ (1 / x)))) * (((x \ 1) \ 1) * y). [para(1119(a,1),12559(a,1,1,1))]. 12561 T((((x * y) \ ((z \ 1) \ 1)) \ 1) * (x * y),y \ (x \ 1)) = (1 / (z * (y \ (1 / x)))) * (((x \ 1) \ 1) * y). [para(1405(a,1),12560(a,1,1))]. 12562 T(((1 / x) * (((y * z) \ 1) \ 1)) * (y * z),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). [para(1069(a,1),12561(a,1,1,1))]. 12563 T(((1 / x) * (y * z)) * ((z \ (y \ 1)) \ 1),z \ (y \ 1)) = (1 / (x * (z \ (1 / y)))) * (((y \ 1) \ 1) * z). [para(4104(a,1),12562(a,1,1))]. 12564 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (1 / (y \ (z \ 1))) * ((1 / x) * (z * y)). [hyper(1415,a,12563,a),flip(a)]. 12565 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = ((1 / 1) \ (z * y)) * ((1 / x) * (z * y)). [para(340(a,1),12564(a,2,1))]. 12566 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (1 \ (z * y)) * ((1 / x) * (z * y)). [para(59(a,1),12565(a,2,1,1))]. 12567 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = (z * y) * ((1 / x) * (z * y)). [para(50(a,1),12566(a,2,1))]. 12569 (1 / (x * (y \ (1 / z)))) * (((z \ 1) \ 1) * y) = ((z * y) / x) * (z * y). [hyper(227,a,624,a(flip),b,12567,a)]. 12570 (((x \ 1) \ (y / z)) * x) * (x * ((1 / x) * y)) = ((x * y) / z) * (x * y). [hyper(227,a,12404,a(flip),b,12569,a(flip)),flip(a)]. 12571 ((x * y) / (z \ y)) * (x * y) = (((x \ 1) \ z) * x) * (x * ((1 / x) * y)). [para(62(a,1),12570(a,1,1,1,2)),flip(a)]. 12572 (((x \ 1) \ ((1 / y) \ z)) * x) * (x * ((1 / x) * y)) = ((x * y) / (z \ 1)) * (x * y). [para(317(a,1),12570(a,1,1,1,2))]. 12573 ((x * y) / y) * (z * (x * y)) = (((x \ 1) \ z) * x) * (x * ((1 / x) * y)). [hyper(1179,a,12571,a)]. 12574 (((x \ 1) \ y) * x) * (x * ((1 / x) * z)) = x * (y * (x * z)). [para(15(a,1),12573(a,1,1)),flip(a)]. 12575 ((x * y) / (z \ 1)) * (x * y) = x * (((1 / y) \ z) * (x * y)). [hyper(227,a,12574,a(flip),b,12572,a(flip))]. 12576 ((x * y) / (z \ 1)) * (x * y) = x * (y * ((z * x) * y)). [para(47(a,1),12575(a,2,2))]. 12577 ((1 / (x * y)) \ z) * (x * y) = x * (y * ((z * x) * y)). [para(317(a,1),12576(a,1,1))]. 12578 (x * y) * (z * (x * y)) = x * (y * ((z * x) * y)). [hyper(674,a,12577,a)]. 12579 (x \ y) * (L(z,x,x) * ((x * (x \ y)) * L(z,x,x))) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [hyper(227,a,2150,a(flip),b,12577,a(flip))]. 12580 x \ (x * (1 / (((y * (x * (((x \ z) \ 1) \ 1))) \ (1 / z)) * x))) = (((x \ z) \ 1) \ 1) * ((y * x) * (((x \ z) \ 1) \ 1)). [hyper(9892,a,12578,a)]. 12581 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(17,a,11953,a,b,12578,a),flip(a)]. 12582 (1 / x) * (y * ((z * (1 / x)) * y)) = (x \ y) * (z * (x \ y)). [hyper(227,a,11631,a(flip),b,12578,a(flip))]. 12583 (x * y) * z != x * (y * ((u * x) * y)) | u * (x * y) = z. [para(12578(a,1),19(a,1)),flip(a)]. 12584 R(x,a(y,z,y),u) = x. [hyper(9290,a,12581,a)]. 12585 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(72,a,58,a(flip),b,12581,a)]. 12587 (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). [para(12581(a,1),24(a,2,1)),flip(a)]. 12588 T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). [hyper(2373,a,12584,a)]. 12590 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [hyper(227,a,10300,a,b,12585,a(flip)),flip(a)]. 12591 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12590(a,2),11986(a,1,2))]. 12592 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(8165,a,12591,a)]. 12593 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(8915(a,1),12591(a,1,2,1))]. 12594 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(8925(a,1),12591(a,1,2,1))]. 12595 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(2540(a,1),12593(a,1,2,1))]. 12597 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(7144(a,1),12593(a,1,2,1))]. 12598 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),12594(a,1,2,1,1)),flip(a)]. 12599 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(227,a,12595,a,b,12597,a),flip(a)]. 12600 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(227,a,6454,a,b,12597,a)]. 12601 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12600(a,2),6517(a,1))]. 12602 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(11968,a,12592,a)]. 12604 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(8925(a,1),12602(a,1,2,2))]. 12605 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * (((y \ (z * (1 / x))) \ 1) * L(y,y,(z * (1 / x)) * y)). [para(4165(a,2),12582(a,1,2,2)),flip(a)]. 12606 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(10225,a,12588,a)]. 12608 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [para(10212(a,1),12606(a,1,2))]. 12609 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(227,a,12590,a(flip),b,12608,a)]. 12610 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(32(a,2),12609(a,2,2))]. 12611 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(11981,a,12610,a),flip(a)]. 12613 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12611(a,1),10236(a,1,2))]. 12614 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(13(a,1),12613(a,1,2,1)),flip(a)]. 12615 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(10272,a,12614,a),flip(a)]. 12616 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12615(a,2),8230(a,1,1,2,2))]. 12617 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). [para(12581(a,1),12587(a,1,2,1))]. 12618 a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). [hyper(11975,a,12617,a),flip(a)]. 12619 a(x / a(y,z,y),a(y,z,y) * u,w) = a(x,u,w). [para(16(a,1),12618(a,1,1)),flip(a)]. 12620 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(227,a,12115,a(flip),b,12619,a(flip)),flip(a)]. 12622 a(x,T(y * z,y),u) = a(x,z * y,u). [para(8925(a,1),12620(a,1,2))]. 12623 a(x,(y \ 1) * z,u) = a(x,y \ z,u). [para(1201(a,1),12622(a,1,2)),flip(a)]. 12624 a(x,(1 / y) \ z,u) = a(x,y * z,u). [para(1209(a,1),12622(a,1,2))]. 12625 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(14(a,1),12616(a,1,1,2,2,1)),flip(a)]. 12626 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(227,a,6726,a(flip),b,12625,a)]. 12628 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(8936(a,1),12626(a,1,2,1,2))]. 12629 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(8952(a,1),12626(a,1,2,1)),flip(a)]. 12630 x \ (x * (1 / ((x * (1 / ((y * (((z \ 1) \ 1) * y)) * x))) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). [para(11684(a,1),12580(a,1,2,2,2,1))]. 12631 x \ (x * (1 / ((x * (1 / (((y / (1 / z)) * y) * x))) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). [para(1077(a,1),12630(a,1,2,2,2,1,2,2,1))]. 12632 x \ (x * (1 / ((((y * (z * y)) \ x) * (1 / x)) * x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). [para(3968(a,1),12631(a,1,2,2,2,1))]. 12633 x \ (x * (1 / L((y * (z * y)) \ x,x,x))) = (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)). [para(1379(a,1),12632(a,1,2,2,2))]. 12634 (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (x * (1 / ((x \ (y * (z * y))) \ 1))). [para(1034(a,1),12633(a,1,2,2,2)),flip(a)]. 12635 (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (x * (x \ (y * (z * y)))). [para(62(a,1),12634(a,2,2,2))]. 12636 (((x \ y) \ 1) \ 1) * ((z * x) * (((x \ y) \ 1) \ 1)) = x \ (y * (z * y)). [hyper(227,a,13,a(flip),b,12635,a)]. 12638 ((x \ y) \ 1) \ ((z * x) / ((x \ y) \ 1)) = x \ (y * (z * y)). [hyper(1418,a,12636,a)]. 12641 (x \ y) * ((z * x) * (x \ y)) = x \ (y * (z * y)). [hyper(227,a,3856,a(flip),b,12638,a(flip)),flip(a)]. 12642 ((x \ y) \ z) * L(x,x,y * x) = y \ (x * (z * x)). [hyper(227,a,11632,a,b,12641,a(flip)),flip(a)]. 12643 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * ((z * (1 / x)) \ (y * (1 * y))). [para(12642(a,1),12605(a,2,2))]. 12644 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * ((z * (1 / x)) \ (y * y)). [para(11(a,1),12643(a,2,2,2,2))]. 12645 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (1 / x) * (((z * (1 / x)) \ y) * y). [para(939(a,1),12644(a,2,2))]. 12646 (x \ ((y \ (z * (1 / x))) \ 1)) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (z \ (y * (y / x))) * x. [hyper(227,a,3504,a(flip),b,12645,a)]. 12647 (K(x,x \ 1) * ((y \ x) \ 1)) * (z * ((x \ 1) \ ((1 / x) * ((y \ x) \ 1)))) = (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))). [para(3715(a,1),10059(a,1,1))]. 12648 (((x \ y) \ y) * (1 / y)) * (z * ((y \ 1) \ ((1 / y) * ((x \ y) \ 1)))) = (y \ ((x \ 1) \ 1)) * (z * (y * ((1 / y) * ((x \ y) \ 1)))). [para(3676(a,1),12647(a,1,1))]. 12649 (((x \ y) \ y) * (1 / y)) * (z * (K(y,y \ 1) * ((x \ y) \ 1))) = (y \ ((x \ 1) \ 1)) * (z * (y * ((1 / y) * ((x \ y) \ 1)))). [para(3715(a,1),12648(a,1,2,2))]. 12650 (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (((y \ x) \ x) * (1 / x)) * (z * (((y \ x) \ x) * (1 / x))). [para(3676(a,1),12649(a,1,2,2)),flip(a)]. 12651 (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (y \ x) \ (z / (y \ x)). [hyper(227,a,11176,a(flip),b,12650,a)]. 12653 (x \ ((y \ 1) \ 1)) * (z * (x * ((1 / x) * ((y \ x) \ 1)))) = (x \ y) * (z * (x \ y)). [hyper(227,a,11630,a(flip),b,12651,a)]. 12654 (x \ ((y \ 1) \ 1)) * (z * (x \ ((y \ 1) \ 1))) = (x \ y) * (z * (x \ y)). [para(2175(a,1),12653(a,1,2,2))]. 12655 ((x \ 1) * y) \ (z / ((x \ 1) * y)) = (y \ x) * (z * (y \ x)). [hyper(227,a,2690,a(flip),b,12654,a(flip)),flip(a)]. 12656 ((x \ 1) * y) * (z * ((x \ 1) * y)) = (x \ y) * (z * (x \ y)). [hyper(227,a,12395,a(flip),b,12655,a(flip)),flip(a)]. 12657 ((1 / ((x \ 1) * y)) \ z) * ((x \ 1) * y) = (x \ y) * (z * (x \ y)). [hyper(630,a,12656,a)]. 12658 ((((x \ 1) \ 1) \ y) \ z) * ((y \ 1) * x) = (y \ x) * (z * (y \ x)). [para(1078(a,1),12657(a,1,1,1))]. 12659 ((T(x,y \ 1) \ 1) \ 1) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [hyper(5560,a,10569,a)]. 12660 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(227,a,13,a(flip),b,11007,a)]. 12662 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11005(a,1),12660(a,1,3))]. 12664 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12297(a,1),12662(a,1,3))]. 12665 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12664(a,1),100(a,1,2))]. 12666 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(227,a,12327,a(flip),b,12665,a(flip))]. 12667 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(6444(a,1),12666(a,1,2))]. 12668 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7522(a,1),12667(a,1,1,1)),flip(a)]. 12669 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(167,a,12668,a),flip(a)]. 12670 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(227,a,12515,a(flip),b,12669,a),flip(a)]. 12671 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(728(a,1),12670(a,2,1,2))]. 12672 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(9672,a,12671,a)]. 12673 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12671(a,1,1))]. 12674 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(227,a,10012,a(flip),b,12673,a(flip)),flip(a)]. 12675 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(227,a,10077,a(flip),b,12674,a(flip)),flip(a)]. 12676 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5088(a,1),12675(a,2,1))]. 12677 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(227,a,12116,a(flip),b,12676,a)]. 12678 (x \ T(y * (z \ R(z,u,w)),y)) \ (x \ (y * (z \ R(z,u,w)))) = a(K(y,z),u * z,w). [hyper(227,a,6687,a,b,12677,a(flip)),flip(a)]. 12679 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(227,a,5838,a,b,12677,a(flip)),flip(a)]. 12680 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12671(a,1),12672(a,1,1))]. 12681 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(227,a,12355,a,b,12680,a(flip)),flip(a)]. 12682 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(227,a,12125,a(flip),b,12681,a(flip)),flip(a)]. 12683 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12377(a,1),12679(a,1,2))]. 12684 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(6408,a,12683,a)]. 12685 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12544(a,1),12678(a,1,1))]. 12686 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),12685(a,1,2))]. 12687 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5014,a,12686,a),flip(a)]. 12689 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12687(a,1),12342(a,2,2))]. 12690 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12687(a,2),12684(a,1,1))]. 12691 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(227,a,12345,a(flip),b,12689,a(flip))]. 12692 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(227,a,7769,a,b,12691,a(flip)),flip(a)]. 12693 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7434(a,2),12692(a,2,1))]. 12694 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(8783,a,12693,a)]. 12695 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(227,a,10016,a(flip),b,12694,a(flip)),flip(a)]. 12696 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7443(a,1),12695(a,2,1))]. 12697 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8604(a,1),12696(a,2,1))]. 12698 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10078,a,12697,a)]. 12701 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(227,a,10721,a(flip),b,12698,a(flip)),flip(a)]. 12703 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(10271,a,12690,a)]. 12704 a(x,a(y,z,u),x) = 1. [hyper(71,a,12703,a,b,10219,a),flip(a)]. 12705 L(x,a(y,z,u),x) = x. [hyper(33,a,12704,a)]. 12707 x / (a(y,z,u) \ 1) = x * a(y,z,u). [hyper(73,a,12705,a(flip),b,5524,a(flip))]. 12708 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [hyper(72,a,12705,a(flip),b,5526,a(flip)),flip(a)]. 12709 (1 / x) \ a(y,z,u) = x * a(y,z,u). [hyper(334,a,12707,a)]. 12710 x * (a(y,z,u) \ 1) = x / a(y,z,u). [hyper(305,a,12707,a),flip(a)]. 12711 (x \ 1) * a(y,z,u) = x \ a(y,z,u). [hyper(300,a,12707,a),flip(a)]. 12713 (a(x,y,z) \ 1) \ u = a(x,y,z) * u. [hyper(72,a,13,a(flip),b,12708,a)]. 12714 (a(x,y,z) \ (K(a(x,y,z) \ 1,u) * w)) / w = T(a(x,y,z) \ 1,u). [hyper(73,a,12708,a(flip),b,5747,a(flip))]. 12715 (a(x,y,z) \ u) \ u = T(a(x,y,z),u). [para(12708(a,1),11596(a,1,1))]. 12716 L(a(x,y,z),u,u) = a(x,y,z). [hyper(1373,a,12709,a)]. 12717 a(x,y,z) / ((x * y) * z) = 1 / (x * (y * z)). [hyper(73,a,12716,a(flip),b,1022,a(flip))]. 12718 L(T(a(x,y,z),u),w,w) = T(a(x,y,z),u). [para(12716(a,1),40(a,2,1))]. 12719 K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (K(a(x,y,z) \ 1,u) * w) / a(x,y,z). [hyper(6931,a,12710,a)]. 12720 (a(x,y,z) * u) / a(x,y,z) != w | T(u,a(x,y,z) \ 1) = w. [para(12710(a,1),693(a,1))]. 12721 (1 / x) \ a(y,z,u) != w | x * a(y,z,u) = w. [para(12711(a,1),615(a,1))]. 12722 (x * (y \ 1)) \ (x * (y \ a(z,u,w))) != v5 | L(a(z,u,w),y \ 1,x) = v5. [para(12711(a,1),474(a,1,2,2))]. 12723 T(x * a(y,z,u),a(y,z,u) \ 1) = T(a(y,z,u),1) * x. [para(12715(a,1),1404(a,2,1))]. 12724 T(x,x * T(a(y,z,u),w)) = T(a(y,z,u),w) \ (x * T(a(y,z,u),w)). [para(12718(a,1),1212(a,1,1)),flip(a)]. 12725 (a(x,y,z) \ (K(a(x,y,z),u \ 1) * w)) / w = T(a(x,y,z) \ 1,u). [para(5378(a,1),12714(a,1,1,2,1))]. 12726 T(x,x * T(a(y,z,u),w)) = T(x,T(a(y,z,u),w)). [hyper(227,a,32,a,b,12724,a)]. 12727 K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (K(a(x,y,z),u \ 1) * w) / a(x,y,z). [para(5378(a,1),12719(a,2,1,1))]. 12728 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11365(a,1),11911(a,1,2,2))]. 12729 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10311(a,1),12536(a,1,1))]. 12730 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12535(a,1),12729(a,1,2,2))]. 12731 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(9940(a,1),12730(a,1,2))]. 12732 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10701(a,1),12731(a,1,2))]. 12733 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(11830(a,1),12732(a,1,2)),flip(a)]. 12734 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12535(a,1),12733(a,1,1,1,1))]. 12735 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(10311(a,1),12734(a,1,1,1))]. 12736 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(12535(a,1),12735(a,1,1)),flip(a)]. 12737 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(12736(a,1),8516(a,1,1))]. 12738 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(7887(a,1),12737(a,1,2))]. 12739 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(227,a,10719,a(flip),b,12738,a(flip)),flip(a)]. 12740 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(6419(a,1),12739(a,1,2))]. 12741 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(227,a,11204,a(flip),b,12740,a(flip))]. 12743 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(12741(a,1),12346(a,1,1))]. 12744 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u). [para(5409(a,1),12743(a,1,1,1)),flip(a)]. 12745 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w). [hyper(227,a,9110,a,b,12744,a(flip)),flip(a)]. 12746 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),u * w). [para(8592(a,1),12745(a,2,2))]. 12747 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(8106(a,1),12746(a,2,2))]. 12748 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(13(a,1),12747(a,2,2,1))]. 12749 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(227,a,5918,a(flip),b,12748,a)]. 12751 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(227,a,8508,a(flip),b,12749,a)]. 12752 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5286(a,1),12751(a,1,1,1))]. 12753 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(12741(a,1),12752(a,1,1))]. 12754 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5409(a,1),12753(a,1,1,1))]. 12755 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(227,a,9110,a(flip),b,12754,a(flip)),flip(a)]. 12756 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(2461(a,1),12755(a,2,1))]. 12757 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12475(a,1),12756(a,2,2))]. 12758 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12475(a,1),12757(a,1,1,1))]. 12759 T((x \ 1) \ 1,y \ 1) \ ((L(1 / T(x,y \ 1),1 / T(x,y \ 1),1 / T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(1601(a,1),12659(a,1,1))]. 12760 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(7767,a,12728,a)]. 12761 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(9970(a,1),12760(a,1,2,2)),flip(a)]. 12762 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(7443(a,1),12761(a,2,2))]. 12764 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(7853(a,1),12762(a,2,2))]. 12765 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(7428(a,1),12764(a,2,2))]. 12766 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11365(a,1),12765(a,1,1,2))]. 12767 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(227,a,10760,a,b,12766,a(flip)),flip(a)]. 12768 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(11910(a,1),12767(a,1,1)),flip(a)]. 12769 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(12768(a,1),457(a,1))]. 12770 T((x \ 1) \ 1,y \ 1) \ ((L(1 / T(x,y \ 1),T(x,y \ 1),T(x,y \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(1470(a,1),12759(a,1,2,1,1))]. 12771 T((x \ 1) \ 1,y \ 1) \ (((1 * (T(x,y \ 1) \ 1)) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(1030(a,1),12770(a,1,2,1,1))]. 12772 T((x \ 1) \ 1,y \ 1) \ (((T(x,y \ 1) \ 1) \ y) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(11(a,1),12771(a,1,2,1,1))]. 12773 T((x \ 1) \ 1,y \ 1) \ ((y * ((x \ 1) \ 1)) * z) = ((1 / T(x,y \ 1)) \ 1) \ ((y * x) * z). [para(1607(a,1),12772(a,1,2,1))]. 12774 T((x \ 1) \ 1,y \ 1) \ ((y * ((x \ 1) \ 1)) * z) = T(x,y \ 1) \ ((y * x) * z). [para(65(a,1),12773(a,2,1))]. 12776 x \ ((x * (1 / (y * x))) * (((x * (1 / (y * x))) \ z) * L(u,y,y))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). [para(5732(a,1),11659(a,1,2,2,2))]. 12778 x \ (x * (1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x))) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). [para(9884(a,1),12776(a,1,2))]. 12779 1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x) = 1 / (((u \ (z \ (x * (1 / (y * x))))) * y) * x). [hyper(282,a,12778,a),flip(a)]. 12781 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) / K(x,x \ 1). [para(5732(a,1),9229(a,1,1,1)),flip(a)]. 12782 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) * K(x \ 1,x). [hyper(227,a,6497,a(flip),b,12781,a)]. 12784 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = (L(u,y,y) * (z / (x * (1 / (y * x))))) * K(x,x \ 1). [para(5378(a,1),12782(a,2,2))]. 12785 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (K(x,x \ 1) * (z / (x * (1 / (y * x))))). [hyper(227,a,9123,a(flip),b,12784,a)]. 12786 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / T((1 / (y * x)) * x,x \ 1)). [para(9194(a,1),12785(a,2,2))]. 12787 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / T(1 / T(y,x),x \ 1)). [para(336(a,1),12786(a,2,2,2,1))]. 12788 ((x * (1 / (y * x))) * (((x * (1 / (y * x))) / z) / u)) \ (1 / y) = L(u,y,y) * (z / (1 / y)). [para(1578(a,1),12787(a,2,2,2))]. 12790 ((x * (1 / (y * x))) * ((x * (1 / ((z * y) * x))) / u)) \ (1 / y) = L(u,y,y) * (z / (1 / y)). [para(11658(a,1),12788(a,1,1,2,1))]. 12791 ((x * (1 / (y * x))) * (x * (1 / ((z * (u * y)) * x)))) \ (1 / y) = L(z,y,y) * (u / (1 / y)). [para(11658(a,1),12790(a,1,1,2))]. 12792 (x * (1 / (((x * (1 / ((y * (z * u)) * x))) \ u) * x))) \ (1 / u) = L(y,u,u) * (z / (1 / u)). [para(9884(a,1),12791(a,1,1))]. 12793 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1958(a,1),12141(a,2,1))]. 12794 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(227,a,11977,a(flip),b,12793,a)]. 12796 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10251(a,1),12794(a,1,1))]. 12797 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(11088,a,12796,a)]. 12798 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(227,a,12500,a(flip),b,12797,a(flip))]. 12799 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(5200,a,12798,a),flip(a)]. 12800 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12798(a,2),11857(a,1,1))]. 12801 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12798(a,2),11859(a,1,1))]. 12802 a(x,y,K(z,T(u,w))) = T(K(a(x,y,z),u),w). [hyper(227,a,6555,a(flip),b,12799,a)]. 12803 K((x * y) * z,x * (y * z)) = a(x,y,K(z,(x * y) * z)). [hyper(5243,a,12799,a(flip))]. 12804 K(a(x,y,z),z) = 1. [hyper(227,a,365,a(flip),b,12799,a(flip))]. 12805 a(x,y,K(z,(x * y) * z)) != u | K((x * y) * z,x * (y * z)) = u. [para(12799(a,2),5243(a,1))]. 12806 (a(x,y,K(z,(x * y) * z)) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. [para(12799(a,2),5313(a,1,1,1))]. 12807 a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. [para(12799(a,2),6443(a,1,1))]. 12808 (a(x,y,z) \ (a(x,y,K(z,u \ 1)) * w)) / w = T(a(x,y,z) \ 1,u). [para(12799(a,2),12725(a,1,1,2,1))]. 12809 K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (a(x,y,K(z,u \ 1)) * w) / a(x,y,z). [para(12799(a,2),12727(a,2,1,1))]. 12810 T(a(x,y,z),z) = a(x,y,z). [hyper(37,a,12804,a)]. 12811 a(x,y,z) * z = z * a(x,y,z). [para(12810(a,1),113(a,1,2)),flip(a)]. 12813 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(439,a,12800,a)]. 12814 a(x,y,K(z,T(u,w))) = T(a(x,y,K(z,u)),w). [para(12799(a,2),12802(a,2,1))]. 12815 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(10152,a,12807,a)]. 12816 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(12489,a,12815,a)]. 12818 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(9119(a,1),12813(a,1,1))]. 12819 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(439,a,12801,a)]. 12820 (a(x,y,K(z,z * (x * y))) / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. [para(5344(a,1),12806(a,1,1,1,3))]. 12821 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(10926(a,1),12818(a,1,2,1))]. 12822 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(227,a,12813,a(flip),b,12821,a(flip))]. 12823 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9201(a,1),9055(a,1,2,1,2,2,2))]. 12824 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9109(a,1),12823(a,1,2,1,2,2))]. 12825 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7428(a,1),12824(a,1,2,1))]. 12826 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8381(a,1),12825(a,1,2,1,2))]. 12827 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6743(a,1),12826(a,1,2,1,2))]. 12829 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7448(a,1),12827(a,1,2,1))]. 12830 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9201(a,1),12829(a,1,2,2,1,2,1,2,2))]. 12831 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9109(a,1),12830(a,1,2,2,1,2,1,2))]. 12832 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7399(a,1),12831(a,1,2,2,1,2))]. 12833 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10165(a,1),12832(a,1,2,2,1,2,2))]. 12834 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6063(a,1),12833(a,1,2,2,1,2,2))]. 12836 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7400(a,1),12834(a,1,2,2,1,2))]. 12837 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4985(a,1),12836(a,1,2,2,1))]. 12838 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6903(a,2),12837(a,1,2))]. 12839 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(227,a,6867,a(flip),b,12838,a(flip)),flip(a)]. 12840 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1475(a,1),12839(a,1,2)),flip(a)]. 12841 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(227,a,7469,a(flip),b,12840,a)]. 12842 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1904(a,1),12841(a,1,1)),flip(a)]. 12843 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(227,a,12271,a,b,12842,a(flip)),flip(a)]. 12844 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1904(a,1),12843(a,1,1))]. 12845 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(12844(a,1),7474(a,1,2))]. 12846 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(7639,a,12845,a),flip(a)]. 12847 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(227,a,7434,a,b,12846,a)]. 12848 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(227,a,11287,a(flip),b,12847,a(flip)),flip(a)]. 12849 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(227,a,7428,a,b,12848,a)]. 12850 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11288,a,12849,a)]. 12851 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(227,a,11558,a,b,12850,a(flip)),flip(a)]. 12852 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(227,a,11864,a(flip),b,12851,a)]. 12853 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7637,a,12852,a)]. 12854 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(12852(a,1),7637(a,1))]. 12855 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(227,a,7483,a,b,12853,a(flip)),flip(a)]. 12856 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(227,a,12546,a,b,12855,a(flip)),flip(a)]. 12857 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(8886,a,12856,a)]. 12858 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(227,a,12701,a(flip),b,12857,a(flip)),flip(a)]. 12859 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(8702(a,1),12858(a,1,1)),flip(a)]. 12860 K(x,K(y * z,a(y,z,u))) = 1. [hyper(227,a,8566,a(flip),b,12859,a)]. 12861 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(12854,a,12860,a)]. 12864 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(12861(a,1),9534(a,1,2)),flip(a)]. 12865 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(227,a,12,a(flip),b,12864,a)]. 12867 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(227,a,8616,a,b,12865,a(flip)),flip(a)]. 12868 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12687(a,2),12867(a,1,1))]. 12869 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(227,a,12355,a,b,12868,a(flip)),flip(a)]. 12870 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(227,a,12682,a(flip),b,12869,a(flip)),flip(a)]. 12871 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(227,a,12816,a,b,12870,a),flip(a)]. 12873 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(227,a,12312,a(flip),b,12871,a)]. 12874 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(227,a,12488,a(flip),b,12873,a(flip))]. 12875 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(12874(a,1),12315(a,1,1,2))]. 12876 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(227,a,10154,a(flip),b,12875,a(flip))]. 12877 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(227,a,12874,a(flip),b,12876,a(flip))]. 12878 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(12876(a,1),134(a,1,2))]. 12879 a(K(x,y \ 1),z,u) = a(x \ 1,z,K(u,y)). [para(5378(a,1),12876(a,1,1))]. 12880 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(12876(a,1),12326(a,1,2))]. 12881 a(x,y,K(z \ u,z)) = a(z,y,K(x,u)). [hyper(11433,a,12877,a)]. 12882 x / (a(y,z,K(u,w)) * x) = a(w,z,K(u,y)). [hyper(227,a,10151,a,b,12877,a),flip(a)]. 12883 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(227,a,12815,a(flip),b,12877,a)]. 12884 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(227,a,11442,a(flip),b,12877,a)]. 12885 x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. [para(12877(a,2),10156(a,1,2))]. 12886 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(12877(a,1),12798(a,2,2))]. 12887 a(x \ 1,y,K(z,u)) = K(x,a(u,y,z) \ 1). [hyper(227,a,5378,a(flip),b,12883,a)]. 12888 K(x * (y * z),(x * y) * z) = a((x * y) * z,y,K(z,x)). [hyper(6178,a,12883,a(flip))]. 12889 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(12883(a,2),4996(a,2,2)),flip(a)]. 12890 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(12883(a,2),5001(a,1,2))]. 12892 a(x,y,z) \ (a(u,y,K(z,x)) * w) = T(a(x,y,z),u) \ w. [para(12883(a,2),6420(a,1,2,1))]. 12893 a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). [hyper(227,a,12877,a(flip),b,12881,a(flip)),flip(a)]. 12894 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(12877(a,2),12889(a,1,2))]. 12895 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [para(13(a,1),12893(a,1,3,2)),flip(a)]. 12896 T(x,a(y,z,u) \ x) = T(x,a(u,z,y)). [hyper(227,a,12798,a,b,12894,a(flip)),flip(a)]. 12897 (a(x,y,z) * u) / a(x,y,z) = T(u,a(z,y,x)). [hyper(2507,a,12896,a)]. 12898 a(x \ 1,y,K(z,u)) = a(x,y,K(z,u \ 1)). [hyper(227,a,12876,a(flip),b,12879,a(flip))]. 12899 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(12882(a,1),10153(a,1))]. 12900 a(x,y,K(z \ u,z)) != w | a(z,y,K(x,u)) = w. [para(11432(a,2),12899(a,1))]. 12907 a(x,y,K(z,u \ 1)) = K(x,a(u,y,z) \ 1). [hyper(227,a,12887,a(flip),b,12898,a(flip))]. 12908 a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). [hyper(227,a,12884,a(flip),b,12898,a(flip))]. 12909 a(x * y,z,K(u,x \ 1)) = a(x,z,K(u,y)). [hyper(227,a,12895,a(flip),b,12908,a)]. 12910 (a(x,y,z) \ (a(u,y,K(z,x)) * w)) / w = T(a(x,y,z) \ 1,u). [para(12908(a,1),12808(a,1,1,2,1))]. 12911 K(a(x,y,z) \ 1,u) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). [para(12908(a,1),12809(a,2,1,1))]. 12912 a(x * (y * z),y,K(z,x \ 1)) = K((x * y) * z,x * (y * z)). [hyper(8637,a,12907,a(flip)),flip(a)]. 12913 x * a(y,z,K(u,x)) != w | T(x,a(u,z,y)) = w. [para(12877(a,2),12890(a,1,2))]. 12914 T(x,a(y,z,u) \ 1) = T(x,a(u,z,y)). [hyper(12720,a,12897,a)]. 12915 T(x * a(y,z,u),a(u,z,y)) = T(a(y,z,u),1) * x. [hyper(227,a,12723,a(flip),b,12914,a(flip))]. 12916 T(T(x,a(y,z,u)),K(a(u,z,y) \ 1,w)) = T(x,T(a(u,z,y) \ 1,w)). [para(12914(a,1),7385(a,1,1))]. 12917 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(10155(a,1),12885(a,1))]. 12918 T(x * a(y,z,u),a(u,z,y)) = a(y,z,u) * x. [para(144(a,1),12915(a,2,1))]. 12919 T(x * a(y,z,u),a(u,z,y)) != x * w | T(a(y,z,u),x) = w. [para(12918(a,2),167(a,2)),flip(a)]. 12920 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(227,a,12758,a,b,12880,a(flip)),flip(a)]. 12921 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10504(a,1),12920(a,1,1))]. 12922 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(12886(a,2),12921(a,1,1))]. 12923 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(2526,a,12922,a)]. 12924 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(227,a,12819,a(flip),b,12923,a(flip))]. 12925 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(227,a,12248,a(flip),b,12924,a(flip))]. 12926 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(10156,a,12878,a)]. 12927 K(a(x,y,z),(y * z) \ (x \ 1)) = a((x * y) * z,y,K(z,x)). [hyper(227,a,9486,a,b,12888,a(flip)),flip(a)]. 12928 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9780(a,1),12925(a,1,2,1))]. 12929 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(227,a,12822,a(flip),b,12928,a(flip)),flip(a)]. 12930 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4954(a,2),12929(a,1,2,1,2))]. 12931 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(733(a,1),12930(a,1,2,1)),flip(a)]. 12932 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(72,a,12931,a(flip),b,4996,a(flip))]. 12933 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5049,a,12932,a),flip(a)]. 12934 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(227,a,11365,a,b,12933,a),flip(a)]. 12935 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(12933(a,1),504(a,1,2))]. 12937 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(227,a,12059,a,b,12934,a),flip(a)]. 12938 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(9347,a,12937,a),flip(a)]. 12939 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(12937(a,1),109(a,1,1))]. 12942 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(12937(a,1),10834(a,1,1))]. 12945 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(5623,a,12938,a),flip(a)]. 12946 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(12945(a,1),5102(a,1,1,2))]. 12947 T(a(x,y,z),(y * z) \ (x \ 1)) / a((x * y) * z,y,K(z,x)) = a(x,y,z). [para(12927(a,1),4999(a,1,2))]. 12948 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(11387(a,1),12935(a,1,2))]. 12949 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6278,a,12948,a)]. 12950 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(12949(a,1),11107(a,1,2))]. 12951 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(5236,a,12946,a),flip(a)]. 12952 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(871(a,1),12951(a,1,2,1)),flip(a)]. 12953 (T(a(x,y,z),u) \ w) / w = T(a(x,y,z) \ 1,u). [para(12892(a,1),12910(a,1,1))]. 12954 (x * T(a(y,z,u),w)) \ x = T(a(y,z,u) \ 1,w). [hyper(971,a,12953,a)]. 12955 T(T(x,T(a(y,z,u) \ 1,w)),x * (1 * T(a(y,z,u),w))) = x. [para(12954(a,1),4743(a,1,1,2))]. 12956 a(x * (y * z),y,K(z,x \ 1)) = a(x,y,K(z,(x * y) * z)). [hyper(227,a,12803,a(flip),b,12912,a)]. 12957 a(x * (y * z),y,K(z,x \ 1)) = a(x,y,K(z,z * (x * y))). [para(5344(a,1),12956(a,2,3))]. 12958 a(x,y,K(z,z * (x * y))) = a(x,y,K(z,y * z)). [hyper(227,a,12909,a(flip),b,12957,a(flip))]. 12959 a(x,y,K(z,z * (x * y))) = 1. [hyper(227,a,5928,a(flip),b,12958,a)]. 12961 a(x,y,K(z,(x * y) * z)) = 1. [para(5344(a,2),12959(a,1,3))]. 12962 (1 / a(x,y,z)) \ (x * (y * z)) = (x * y) * z. [para(12959(a,1),12820(a,1,1,1))]. 12963 K((x * y) * z,x * (y * z)) = 1. [hyper(12805,a,12961,a)]. 12965 T((x * y) * z,x * (y * z)) = (x * y) * z. [hyper(37,a,12963,a)]. 12966 ((x * y) * z) * (x * (y * z)) = (x * (y * z)) * ((x * y) * z). [para(12965(a,1),113(a,1,2)),flip(a)]. 12968 (a(x,y,z) \ 1) \ (x * (y * z)) = (x * y) * z. [para(11595(a,1),12962(a,1,1))]. 12971 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(227,a,12713,a(flip),b,12968,a(flip)),flip(a)]. 12972 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(73,a,12968,a(flip),b,12713,a(flip)),flip(a)]. 12973 (x * (y * z)) / ((x * y) * z) = a(x,y,z) \ 1. [para(12968(a,1),62(a,1,2))]. 12974 a(x,y,(x * y) \ z) \ z = x * (y * ((x * y) \ z)). [hyper(72,a,14,a(flip),b,12971,a)]. 12976 ((x * (y \ 1)) * ((z \ 1) \ 1)) / (x * ((z \ y) \ 1)) = a(x,y \ 1,(z \ 1) \ 1). [para(257(a,1),12972(a,2,2,2)),flip(a)]. 12978 (1 / (x * (y * (z \ 1)))) \ (z / (x * y)) = a(x,y,z \ 1) \ 1. [hyper(574,a,12973,a)]. 12980 x \ (a(x,L(y \ 1,y,z),(x * L(y \ 1,y,z)) \ u) \ u) = L(y \ 1,z,y) * ((x * L(y \ 1,y,z)) \ u). [hyper(72,a,12974,a,b,11099,a)]. 12981 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6887,a,12942,a)]. 12982 ((x / y) / z) \ (x / (z * y)) = a(z,y,x \ 1) \ 1. [para(327(a,1),12978(a,1,1))]. 12983 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(227,a,11406,a,b,12981,a(flip)),flip(a)]. 12984 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [hyper(5692,a,12950,a),flip(a)]. 12985 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(825,a,12984,a),flip(a)]. 12986 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(12985(a,1),5691(a,1,2))]. 12987 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(6508(a,1),12986(a,1,1,1))]. 12988 T(a(x,y,z),(y * z) \ (x \ 1)) * a(x,y,K(z,(x * y) * z)) = a(x,y,z). [hyper(12885,a,12947,a)]. 12989 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(227,a,6118,a(flip),b,12952,a)]. 12990 T(a(x,y,z),(y * z) \ (x \ 1)) * 1 = a(x,y,z). [para(12961(a,1),12988(a,1,2))]. 12991 T(a(x,y,z),(y * z) \ (x \ 1)) = a(x,y,z). [hyper(82,a,12990,a)]. 12993 ((x * y) \ (z \ 1)) * (a(z,x,y) \ 1) = a(z,x,y) \ ((x * y) \ (z \ 1)). [para(12991(a,1),659(a,1,2,1))]. 12994 (a(x,y,z) / ((x * y) * z)) / ((y * z) \ (x \ 1)) = K((x * y) * z,(y * z) \ (x \ 1)). [para(12991(a,1),5175(a,1,1,1))]. 12995 ((x * y) \ (z \ 1)) * (a(z,x,y) \ 1) = y \ (x \ (z \ 1)). [hyper(227,a,1872,a(flip),b,12993,a)]. 12996 (1 / (x * y)) * ((x * y) \ (a(x * y,x,y) \ 1)) = y \ (x \ ((x * y) \ 1)). [hyper(1686,a,12995,a)]. 12997 ((x * y) \ (z \ 1)) / a(z,x,y) = y \ (x \ (z \ 1)). [hyper(227,a,12710,a(flip),b,12995,a(flip)),flip(a)]. 12998 (x * (y * z)) \ (1 / a(x,y,z)) = z \ (y \ (x \ 1)). [hyper(569,a,12997,a)]. 12999 (x * (y * z)) \ (a(x,y,z) \ 1) = z \ (y \ (x \ 1)). [para(11595(a,1),12998(a,1,2))]. 13000 (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = ((1 / u) \ (y \ (x \ 1))) * K(z,z \ 1). [hyper(227,a,5619,a,b,12999,a)]. 13001 1 / ((x * (y * z)) * ((a(x,y,z) \ 1) \ (x * (y * z)))) = (z \ (y \ (x \ 1))) * (1 / (x * (y * z))). [para(12999(a,1),1432(a,2,1))]. 13002 (x * (K(y,y \ 1) * z)) \ (a(K(y,y \ 1),x,z) \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). [para(9137(a,1),12999(a,1,1))]. 13003 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(227,a,8533,a(flip),b,12989,a)]. 13004 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6302,a,13003,a),flip(a)]. 13005 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(227,a,12598,a(flip),b,13004,a)]. 13006 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(5585(a,1),13004(a,2,2,1))]. 13007 (1 / (x * y)) * ((x * y) \ (a(x * y,x,y) \ 1)) = y \ (x \ (y \ (x \ 1))). [para(123(a,1),12996(a,2,2,2))]. 13008 (1 / (x * y)) * ((x * y) \ (1 \ 1)) = y \ (x \ (y \ (x \ 1))). [para(916(a,1),13007(a,1,2,2,1))]. 13009 (1 / (x * y)) * ((x * y) \ 1) = y \ (x \ (y \ (x \ 1))). [para(50(a,1),13008(a,1,2,2))]. 13012 (1 / (x * y)) * (y \ (x \ 1)) = y \ (x \ (y \ (x \ 1))). [para(123(a,1),13009(a,1,2))]. 13013 (x * y) \ (y \ (x \ 1)) = y \ (x \ (y \ (x \ 1))). [hyper(227,a,2098,a(flip),b,13012,a(flip)),flip(a)]. 13014 x \ ((y \ 1) \ (x \ ((y \ 1) \ 1))) = ((x / y) * x) \ y. [hyper(227,a,4257,a(flip),b,13013,a(flip))]. 13015 ((x / y) * x) \ y = x \ ((x / y) \ y). [para(2797(a,1),13014(a,1,2)),flip(a)]. 13016 x / ((y \ z) * (y \ z)) = x * (z \ ((z / y) \ y)). [para(13015(a,1),3992(a,2,2))]. 13017 (x / y) \ ((x / y) \ y) = y * (x \ ((x / y) \ y)). [para(13015(a,1),3993(a,2,2))]. 13018 (x * (x * (y \ ((y / x) \ x)))) * z = (x * (x / y)) * (((x \ y) / x) \ z). [para(13017(a,1),11164(a,1,1,2))]. 13019 ((x \ (y / z)) \ 1) / (z * ((x \ y) \ 1)) = a(z,y \ 1,(x \ 1) \ 1). [para(752(a,1),12976(a,1,1))]. 13020 (1 / ((x \ (y / z)) \ 1)) \ ((x \ y) / z) = a(z,y \ 1,(x \ 1) \ 1). [hyper(574,a,13019,a)]. 13021 (x \ (y / z)) \ ((x \ y) / z) = a(z,y \ 1,(x \ 1) \ 1). [para(62(a,1),13020(a,1,1))]. 13024 K(a(x,y,z),u \ 1) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). [para(5378(a,1),12911(a,1,1))]. 13025 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11910(a,1),12983(a,1,1))]. 13026 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7486(a,1),13025(a,1,1,2))]. 13027 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(12769,a,13026,a)]. 13028 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7682(a,2),13027(a,1,2,2))]. 13029 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8440(a,2),13028(a,1,2))]. 13030 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7479(a,2),13029(a,1,2,2,2))]. 13031 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),13005(a,1,2,1,2))]. 13032 a(x,y,K(z,u \ 1)) * (w * (a(x,y,z) \ 1)) = (a(u,y,K(z,x)) * w) / a(x,y,z). [para(12799(a,2),13024(a,1,1))]. 13033 a(x,y,K(z,u)) * (w * (a(u,y,z) \ 1)) = (a(x,y,K(z,u)) * w) / a(u,y,z). [para(12908(a,1),13032(a,1,1))]. 13034 K(a(x,y,z) \ 1,u) = a(u,y,K(z,x)). [hyper(18,a,12911,a,b,13033,a),flip(a)]. 13035 T(T(x,a(y,z,u)),a(w,z,K(y,u))) = T(x,T(a(u,z,y) \ 1,w)). [para(13034(a,1),12916(a,1,2))]. 13036 (1 / (a(x,y,z) / ((x * y) * z))) \ (x * (y * z)) = K((x * y) * z,(y * z) \ (x \ 1)). [hyper(573,a,12994,a)]. 13037 (x * (K(y,y \ 1) * z)) \ (a(y,x,K(z,y \ 1)) \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). [para(12876(a,1),13002(a,1,2,1))]. 13038 (1 / (1 / (x * (y * z)))) \ (x * (y * z)) = K((x * y) * z,(y * z) \ (x \ 1)). [para(12717(a,1),13036(a,1,1,2))]. 13039 K((x * y) * z,(y * z) \ (x \ 1)) = K(x * (y * z),(x * (y * z)) \ 1). [hyper(6704,a,13038,a),flip(a)]. 13040 K((x * y) * z,(y * z) \ (x \ 1)) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(227,a,8154,a(flip),b,13039,a)]. 13042 (x * (K(y,y \ 1) * z)) \ (1 \ 1) = z \ (x \ (K(y,y \ 1) \ 1)). [para(7283(a,1),13037(a,1,2,1))]. 13043 (x * (K(y,y \ 1) * z)) \ 1 = z \ (x \ (K(y,y \ 1) \ 1)). [para(50(a,1),13042(a,1,2))]. 13045 (K(x,x \ 1) * y) \ (z \ 1) = y \ (z \ (K(x,x \ 1) \ 1)). [hyper(311,a,13043,a)]. 13047 x \ (y \ (K(z,z \ 1) \ 1)) = ((y * x) \ z) * (1 / z). [hyper(227,a,9202,a(flip),b,13045,a(flip))]. 13048 x \ (y \ (K(z,z \ 1) * 1)) = ((y * x) \ z) * (1 / z). [para(6479(a,1),13047(a,1,2,2))]. 13049 x \ (y \ K(z,z \ 1)) = ((y * x) \ z) * (1 / z). [para(12(a,1),13048(a,1,2,2))]. 13050 x \ ((y \ z) * (1 / z)) = ((y * x) \ z) * (1 / z). [para(3683(a,1),13049(a,1,2))]. 13051 x \ ((y \ 1) * (z * (1 / (u * z)))) = ((((u \ 1) \ y) * x) \ z) * (1 / z). [para(9333(a,1),13049(a,1,2))]. 13052 x \ ((y \ (z * u)) * (1 / (z * u))) = (y * x) \ K(u \ z,z \ u). [hyper(227,a,8393,a(flip),b,13050,a)]. 13053 (x * y) / (z * (1 / (((y \ 1) * u) * z))) = (((u \ y) * (y \ (1 / x))) \ z) * (1 / z). [hyper(227,a,11687,a,b,13050,a(flip)),flip(a)]. 13054 (x * (y * (x * y))) \ (1 / (x \ 1)) = ((y * (x * y)) \ x) * (1 / x). [hyper(227,a,4913,a,b,13050,a(flip)),flip(a)]. 13055 (1 / x) * (((y * (z / x)) \ u) * (1 / u)) = (((u * (1 / (x * u))) \ y) * z) \ x. [para(13050(a,1),9263(a,1,2))]. 13056 (x * y) \ K(z \ x,x \ z) = y \ (z * (1 / (x * z))). [para(13(a,1),13052(a,1,2,1)),flip(a)]. 13057 (x * (y * z)) \ K(y \ x,x \ y) = (z \ (1 / y)) / x. [hyper(227,a,9268,a(flip),b,13056,a)]. 13058 L(x,y,z) \ (1 / (z * y)) = (x \ (1 / y)) / z. [hyper(227,a,8596,a(flip),b,13057,a(flip)),flip(a)]. 13059 (x * y) \ K((y / z) \ x,x \ (y / z)) = (z \ (1 / (y / z))) / x. [para(16(a,1),13057(a,1,1,2))]. 13060 ((x \ (1 / y)) / z) * (z * y) = L(x,y,z) \ 1. [para(13058(a,1),259(a,1,1))]. 13061 ((x / y) / z) * (z * y) = L(1 / x,y,z) \ 1. [para(339(a,1),13060(a,1,1,1))]. 13062 L(1 / x,y,z) \ 1 = L(x,y,z). [hyper(10851,a,13061,a),flip(a)]. 13063 L(1 / x,y,z) \ 1 != u | L(x,y,z) = u. [para(13061(a,1),10851(a,1))]. 13064 L(x \ 1,y,z) = L(x,y,z) \ 1. [para(62(a,1),13062(a,1,1,1)),flip(a)]. 13065 (1 / x) \ L(1 / y,z,u) = x / L(y,z,u). [para(13062(a,1),317(a,1,2)),flip(a)]. 13066 (x * y) / (y * L(y \ 1,z,u)) = x * L(y,z,u). [para(13062(a,1),11699(a,2,2))]. 13067 x * L(x \ 1,y,z) = L(x,y,z) \ x. [para(13064(a,2),667(a,1,2))]. 13068 (x * y) / (L(y,z,u) \ y) = x * L(y,z,u). [para(13067(a,1),13066(a,1,2))]. 13069 (x * L(y,z,u)) \ (x * y) = L(y,z,u) \ y. [para(13068(a,1),65(a,1,1))]. 13070 (x * y) / (L(y,z,u) \ y) != w | x * L(y,z,u) = w. [para(13069(a,1),292(a,1,2)),flip(b)]. 13071 ((x * (y * x)) \ y) * (1 / y) = (y * (x * (y * x))) \ y. [para(62(a,1),13054(a,1,2)),flip(a)]. 13072 ((x * (y * x)) \ y) * (1 / y) = 1 / (x * (y * x)). [hyper(227,a,1510,a(flip),b,13071,a)]. 13073 1 / (((x / (1 / y)) * x) * y) = y \ (1 / (x * (y * x))). [hyper(72,a,13072,a(flip),b,3968,a),flip(a)]. 13074 (x \ (1 / (x * y))) / y = x \ (1 / (y * (x * y))). [hyper(227,a,4181,a(flip),b,13073,a(flip)),flip(a)]. 13075 1 / (((x / (1 / ((1 / x) * y))) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). [para(625(a,2),13073(a,2,2,2,2))]. 13076 1 / (((x / (1 / (x \ y))) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). [para(1999(a,2),13073(a,2,2,2,2))]. 13077 ((1 / x) * y) \ (1 / (x * (((1 / x) * y) * x))) = (((1 / x) * y) \ (1 / T(y,x))) / x. [para(625(a,2),13074(a,1,1,2,2)),flip(a)]. 13078 ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = ((x \ 1) * ((x \ 1) * y)) / y. [para(4202(a,1),13074(a,1,1)),flip(a)]. 13079 (x \ y) \ (1 / (z * ((x \ y) * z))) = (((y \ x) / z) * (y \ x)) / z. [para(11621(a,1),13074(a,1,1)),flip(a)]. 13080 (x * y) \ K((y / z) \ x,x \ (y / z)) = (z * (1 / (y * z))) / x. [para(3415(a,1),13059(a,2,1))]. 13081 (x \ y) \ (1 / (x * ((x \ y) * x))) = (((x * y) \ x) * (y \ x)) / x. [para(967(a,1),13079(a,2,1,1))]. 13082 (x * y) \ K((y / z) \ x,x \ (y / z)) = z * (1 / ((x * y) * z)). [hyper(227,a,11658,a(flip),b,13080,a)]. 13083 (x \ y) \ (1 / (x * ((x \ y) * x))) = ((y \ x) / T(y,x)) / x. [para(2183(a,1),13081(a,2,1))]. 13084 x \ ((x / y) * (1 / (z * (x / y)))) = y * (1 / ((z * x) * y)). [hyper(227,a,13056,a(flip),b,13082,a(flip)),flip(a)]. 13085 x \ (K(y \ x,x \ y) / z) = y * (1 / ((z * x) * y)). [para(4270(a,1),13084(a,1,2))]. 13086 (x \ (1 / y)) \ (z * (1 / ((y * x) * z))) = K(z \ x,x \ z). [hyper(72,a,13085,a(flip),b,10339,a)]. 13087 x * (y * (1 / ((z * x) * y))) = K(y \ x,x \ y) / z. [para(13085(a,1),14(a,1,2))]. 13089 x * (1 / (((y * (1 / (z * y))) \ u) * x)) = (1 / u) * (K(x \ y,y \ x) / z). [para(13087(a,1),9444(a,1,2)),flip(a)]. 13090 K(x \ (y * y),(y * y) \ x) = K(x,x \ 1). [hyper(227,a,3787,a(flip),b,13086,a(flip))]. 13091 K(x * (x / y),x \ (x \ y)) = K(y,y \ 1). [hyper(227,a,9000,a(flip),b,13090,a(flip)),flip(a)]. 13092 K(x * (y \ x),x \ (y / x)) = K(y,y \ 1). [hyper(9001,a,13091,a)]. 13094 ((x \ y) / x) \ ((x \ (1 / (x / y))) * z) = K(y,y \ 1) * z. [para(13092(a,1),10552(a,2,1))]. 13096 ((((x \ 1) \ y) * (y \ (1 / z))) \ u) * (1 / u) = (z * y) / ((u * (1 / (x * u))) \ y). [hyper(227,a,9272,a(flip),b,13051,a(flip))]. 13097 ((((x * (1 / y)) / z) \ x) \ u) * (1 / u) = (((u * (1 / (x * u))) \ z) * y) \ x. [hyper(227,a,9261,a,b,13055,a(flip)),flip(a)]. 13098 ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = y / ((x \ 1) \ ((x \ 1) \ y)). [hyper(227,a,1175,a(flip),b,13078,a)]. 13099 ((1 / x) * (K(y \ y,y \ y) / (z * (u * x)))) \ (1 / x) = L(z,x,x) * (u / (1 / x)). [para(13089(a,1),12792(a,1,1))]. 13100 (((x * (1 / (y * x))) \ z) * u) \ y = (((z / y) * (y * u)) \ x) * (1 / x). [para(1451(a,1),13097(a,1,1,1)),flip(a)]. 13101 1 / (((((x * (1 / (y * x))) \ z) * L(u,y,y)) \ y) * x) = x \ (y \ ((y * z) * u)). [para(13100(a,2),3518(a,1,2,1))]. 13102 ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = y / (x * (((x \ 1) \ 1) * y)). [para(2171(a,1),13098(a,2,2))]. 13103 ((x \ y) \ 1) \ (1 / (y * (((x \ y) \ 1) * y))) = x \ (y \ (y / x)). [hyper(227,a,11244,a(flip),b,13102,a)]. 13104 ((x \ y) \ 1) \ (1 / ((y \ (x \ 1)) \ 1)) = x \ (y \ (y / x)). [para(3868(a,1),13103(a,1,2,2))]. 13105 ((x \ y) \ 1) \ (y \ (x \ 1)) = x \ (y \ (y / x)). [para(62(a,1),13104(a,1,2))]. 13107 1 / (((x \ (y \ (z * (1 / (u * z))))) * u) * z) = z \ (u \ ((u * y) * x)). [hyper(227,a,12779,a(flip),b,13101,a(flip)),flip(a)]. 13108 x \ (1 / (((y \ (z \ ((1 / x) * (1 / ((1 / x) * (1 / x)))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [hyper(72,a,13107,a,b,3973,a(flip))]. 13109 (x * (1 / (y / z))) / (z * (1 / (y * z))) = z * (z \ (y \ ((y * x) * z))). [para(13107(a,1),11661(a,1,2)),flip(a)]. 13110 (x * (1 / (y / z))) / (z * (1 / (y * z))) = y \ ((y * x) * z). [hyper(227,a,14,a(flip),b,13109,a)]. 13111 (x * (1 / (y / z))) / (z * (1 / (y * z))) = u * (u \ (y \ ((y * x) * z))). [hyper(227,a,14,a,b,13110,a)]. 13112 (x * (1 / (y / z))) / (z * (1 / (y * z))) = u * (1 / (((z \ (x \ (u * (1 / (y * u))))) * y) * u)). [para(13107(a,2),13111(a,2,2))]. 13113 (x / ((((y \ z) * (1 / z)) \ u) \ 1)) * (u \ 1) = (((y \ u) * (u \ (1 / x))) \ z) * (1 / z). [hyper(227,a,11666,a,b,13053,a(flip)),flip(a)]. 13114 1 / (((x / ((1 / y) * x)) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). [para(313(a,1),13076(a,1,2,1,1,2))]. 13115 ((1 / x) * y) \ (1 / (x * (((1 / x) * y) * x))) = ((y \ x) / T(y,x)) / x. [para(344(a,1),13077(a,2,1))]. 13116 ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) / T(y,x)) / x. [para(625(a,2),13115(a,1,2,2,2))]. 13117 ((1 / x) * y) \ (1 / (y * x)) = ((y \ x) / T(y,x)) / x. [para(113(a,1),13116(a,1,2,2))]. 13118 ((x \ y) / T(x,y)) / y = (x \ y) / (x * y). [hyper(581,a,13117,a),flip(a)]. 13119 (x \ y) \ (1 / (x * ((x \ y) * x))) = (y \ x) / (y * x). [hyper(227,a,13083,a,b,13118,a(flip)),flip(a)]. 13120 1 / (((x \ (x / (1 / y))) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). [para(944(a,1),13114(a,1,2,1,1))]. 13121 1 / (((x * ((y \ x) \ 1)) * x) * (x \ y)) = (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))). [para(5410(a,1),13120(a,1,2,1,1))]. 13122 (x \ y) \ (1 / (x * ((x \ 1) * (y * x)))) = 1 / (((y \ 1) \ x) * (x \ y)). [para(1267(a,1),13121(a,1,2,1)),flip(a)]. 13123 1 / (((x \ 1) \ y) * (y \ x)) = (y \ x) \ (1 / (x / (1 / y))). [para(1394(a,1),13122(a,1,2,2)),flip(a)]. 13124 1 / (((x \ 1) \ y) * (y \ x)) = (y \ x) \ ((y \ 1) * (1 / x)). [para(1129(a,1),13123(a,2,2))]. 13125 (x \ y) \ ((x \ 1) * (1 / y)) = 1 / ((x / y) \ (x * y)). [para(9762(a,1),13124(a,1,2)),flip(a)]. 13126 (x \ y) \ ((x \ 1) * (1 / y)) != z | (1 / (x * y)) * (x / y) = z. [para(13125(a,2),316(a,1))]. 13127 ((1 / x) * (1 / (y * (z * x)))) \ (1 / x) = L(y,x,x) * (z / (1 / x)). [para(128(a,1),13099(a,1,1,2,1))]. 13128 L(x,y,y) * (z / (1 / y)) = L(x * (z * y),y,y). [hyper(1472,a,13127,a),flip(a)]. 13130 L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * ((1 / y) / ((1 / y) * (u \ z))). [para(708(a,1),13128(a,1,2)),flip(a)]. 13131 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(6503(a,2),13030(a,1,2,2))]. 13132 1 / (((x / (((y \ x) \ 1) \ 1)) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). [para(1064(a,1),13075(a,1,2,1,1,2))]. 13133 ((1 / x) \ (((y \ z) * (1 / z)) \ u)) * (u \ 1) = (((y \ u) * (u \ (1 / x))) \ z) * (1 / z). [para(317(a,1),13113(a,1,1))]. 13134 L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * (1 / T(u \ z,y / 1)). [para(6156(a,1),13130(a,2,2))]. 13135 L(x * (((1 / y) * ((1 / z) * u)) * y),y,y) = L(x,y,y) * (1 / T(u \ z,y)). [para(60(a,1),13134(a,2,2,2,2))]. 13136 L(x * T((1 / y) * z,u),u,u) = L(x,u,u) * (1 / T(z \ y,u)). [para(625(a,2),13135(a,1,1,2))]. 13137 x * ((x \ y) * L(z * T((1 / (y \ x)) * z,x),x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(13136(a,2),11538(a,1,2,2))]. 13138 1 / ((((1 / x) \ ((y \ x) \ 1)) * x) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). [para(317(a,1),13132(a,1,2,1,1))]. 13139 x * (((1 / y) * x) \ (((z \ u) * (1 / u)) \ 1)) = (((z \ x) * (x \ (1 / y))) \ u) * (1 / u). [hyper(227,a,1771,a(flip),b,13133,a(flip)),flip(a)]. 13140 1 / ((x * (((y \ x) \ 1) * x)) * ((1 / x) * y)) = ((1 / x) * y) \ (1 / (x * T(y,x))). [para(619(a,1),13138(a,1,2,1))]. 13141 ((1 / x) * y) \ (1 / (x * T(y,x))) = 1 / (((x \ (y \ 1)) \ 1) * ((1 / x) * y)). [para(3868(a,1),13140(a,1,2,1)),flip(a)]. 13142 ((1 / x) * y) \ (1 / (x * T(y,x))) = 1 / (1 / ((y \ x) / (y * x))). [para(1731(a,1),13141(a,2,2))]. 13143 ((1 / x) * y) \ (1 / (x * T(y,x))) = (((y \ x) / (y * x)) \ 1) \ 1. [hyper(227,a,1058,a(flip),b,13142,a)]. 13144 ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y * x) * ((y \ x) \ 1)) \ 1. [para(125(a,1),13143(a,2,1))]. 13145 ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) \ 1) \ ((y * x) \ 1). [hyper(227,a,123,a(flip),b,13144,a)]. 13146 ((1 / x) * y) \ (1 / (x * T(y,x))) = ((y \ x) \ 1) \ (x \ (y \ 1)). [para(123(a,1),13145(a,2,2))]. 13147 ((x \ y) \ 1) \ (y \ (x \ 1)) = ((1 / y) * x) \ (1 / (x * y)). [para(113(a,1),13146(a,1,2,2)),flip(a)]. 13148 ((x \ y) \ 1) \ (y \ (x \ 1)) = (x \ y) / (x * y). [hyper(227,a,344,a(flip),b,13147,a)]. 13149 (x \ y) / (x * y) = x \ (y \ (y / x)). [hyper(227,a,13105,a(flip),b,13148,a(flip))]. 13150 (x \ y) \ (1 / (x * ((x \ y) * x))) = y \ (x \ (x / y)). [hyper(227,a,13119,a,b,13149,a(flip)),flip(a)]. 13151 (x \ y) \ (1 / (y / (1 / x))) = y \ (x \ (x / y)). [para(2009(a,1),13150(a,1,2,2))]. 13152 (x \ y) \ ((x \ 1) * (1 / y)) = y \ (x \ (x / y)). [para(1129(a,1),13151(a,1,2))]. 13153 (1 / (x * y)) * (x / y) = y \ (x \ (x / y)). [hyper(13126,a,13152,a)]. 13154 x * (((1 / y) * x) \ ((1 / z) \ ((u \ z) \ 1))) = (((u \ x) * (x \ (1 / y))) \ z) * (1 / z). [para(123(a,1),13139(a,1,2,2))]. 13155 x * (((1 / y) * x) \ (z * (((z \ u) \ 1) \ 1))) = (((u \ x) * (x \ (1 / y))) \ z) * (1 / z). [para(3825(a,1),13154(a,1,2,2))]. 13156 (((x \ y) * (y \ (1 / z))) \ u) * (1 / u) = y * ((y \ z) / (u * (1 / (x * u)))). [para(3994(a,1),13155(a,1,2)),flip(a)]. 13157 x * ((x \ y) / (z * (1 / ((u \ 1) * z)))) = (y * x) / ((z * (1 / (u * z))) \ x). [hyper(227,a,13096,a(flip),b,13156,a(flip))]. 13158 (x * y) / ((z * (1 / (u * z))) \ y) = y * ((y \ x) / (K(z,z \ 1) * u)). [para(3661(a,1),13157(a,1,2,2)),flip(a)]. 13159 (x * y) / ((z * (1 / (u * z))) \ y) = y * (K(z,z \ 1) * ((y \ x) / u)). [para(9179(a,1),13158(a,2,2))]. 13160 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = K(u,u \ 1) * (y * (K(u,u \ 1) * ((y \ x) / z))). [para(13159(a,1),12276(a,2,2))]. 13161 (x * (1 / (y / z))) / (z * (1 / (y * z))) = (u * (1 / (y * u))) / (z \ (x \ (u * (1 / (y * u))))). [hyper(227,a,11658,a,b,13112,a)]. 13162 (x \ (y \ (z \ 1))) * (1 / (z * (y * x))) = 1 / ((z * (y * x)) * ((z * y) * x)). [para(12968(a,1),13001(a,1,2,2)),flip(a)]. 13163 (x \ (y \ (z \ 1))) * (1 / (z * (y * x))) = 1 / (((z * y) * x) * (z * (y * x))). [para(12966(a,2),13162(a,2,2))]. 13164 T(1 / ((x * y) * z),x * (y * z)) = z \ (y \ (x \ 1)). [hyper(18,a,1556,a,b,13163,a),flip(a)]. 13165 (x \ (y \ (z \ 1))) / (1 / ((z * y) * x)) = K(1 / ((z * y) * x),z * (y * x)). [hyper(73,a,13164,a(flip),b,5004,a(flip))]. 13166 ((x * y) * z) \ (1 / (1 / ((x * y) * z))) = K(1 / ((x * y) * z),x * (y * z)). [hyper(1655,a,13165,a)]. 13167 ((x * y) * z) \ ((z \ ((x * y) \ 1)) \ 1) = K(1 / ((x * y) * z),x * (y * z)). [para(1073(a,1),13166(a,1,2))]. 13168 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K(1 / ((x * y) * z),x * (y * z)). [para(123(a,1),13167(a,1,2,1,2))]. 13169 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K((x * y) * z,(x * (y * z)) \ 1). [hyper(227,a,5382,a(flip),b,13168,a)]. 13170 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K((x * y) * z,(y * z) \ (x \ 1)). [hyper(227,a,8154,a(flip),b,13169,a)]. 13171 ((x * y) * z) \ ((z \ (y \ (x \ 1))) \ 1) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(227,a,13040,a(flip),b,13170,a)]. 13172 ((x * y) * z) * ((1 / ((x * y) * z)) * 1) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(227,a,3438,a(flip),b,13171,a(flip)),flip(a)]. 13173 K(x * (y * z),(y * z) \ (x \ 1)) = ((x * y) * z) * (1 / ((x * y) * z)). [para(12(a,1),13172(a,1,2)),flip(a)]. 13174 K((x * y) * z,((x * y) * z) \ 1) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(227,a,2255,a,b,13173,a),flip(a)]. 13175 K((x * y) * z,z \ ((x * y) \ 1)) = K(x * (y * z),(y * z) \ (x \ 1)). [hyper(8156,a,13174,a)]. 13176 K((x * y) * z,z \ (y \ (x \ 1))) = K(x * (y * z),(y * z) \ (x \ 1)). [para(123(a,1),13175(a,1,2,2))]. 13177 K((x * y) * z,z \ (y \ (x \ 1))) != u | K((y * z) \ x,x \ (y * z)) = u. [para(13176(a,2),8401(a,1))]. 13178 x * ((x \ y) * L(z * T(((1 / x) * y) * z,x),x,x)) = ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))). [para(313(a,1),13137(a,1,2,2,1,2,1,1))]. 13179 x / ((y * T(((1 / x) * z) * y,x)) \ (z \ x)) = ((x \ z) * L(y,x,x)) * (x / (y \ (z \ x))). [hyper(2146,a,13178,a)]. 13180 x / ((y * T(((1 / x) * z) * y,x)) \ (z \ x)) = (x \ (z * (y * x))) * ((x \ z) * L(y,x,x)). [hyper(227,a,4327,a(flip),b,13179,a)]. 13181 (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = x / ((T(z / (y \ x),x) * z) \ (y \ x)). [para(1170(a,1),13180(a,1,2,1)),flip(a)]. 13182 (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = x * (((y \ x) \ z) * T((y \ x) \ z,x)). [hyper(227,a,9947,a(flip),b,13181,a)]. 13183 (x \ (y * (z * x))) * ((x \ y) * L(z,x,x)) = ((y \ x) \ z) * (x * ((y \ x) \ z)). [hyper(227,a,6365,a(flip),b,13182,a)]. 13184 ((x \ y) * L(z,x,x)) * (x / (z \ (y \ x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). [hyper(227,a,4327,a,b,13183,a(flip)),flip(a)]. 13185 (x \ y) * (L(z,x,x) * ((x * (x \ y)) * L(z,x,x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). [hyper(227,a,12579,a,b,13184,a(flip)),flip(a)]. 13186 (x \ y) * (L(z,x,x) * (y * L(z,x,x))) = ((y \ x) \ z) * (x * ((y \ x) \ z)). [para(14(a,1),13185(a,1,2,2,1))]. 13188 ((x \ y) \ z) * (y * ((x \ y) \ z)) = (y \ x) * (z * (x * z)). [para(10535(a,1),13186(a,1,2)),flip(a)]. 13190 (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = ((x * y) * (1 / u)) \ K(z,z \ 1). [hyper(227,a,6799,a(flip),b,13000,a)]. 13191 (x * (y * (z * (1 / (u * z))))) \ (a(x,y,z * (1 / (u * z))) \ 1) = (((x * y) * (1 / u)) \ z) * (1 / z). [hyper(227,a,3683,a(flip),b,13190,a)]. 13192 (x * (1 / (y * x))) \ (z \ (u \ 1)) = (((u * z) * (1 / y)) \ x) * (1 / x). [hyper(227,a,12999,a(flip),b,13191,a(flip)),flip(a)]. 13193 (((x * y) * (1 / (x * y))) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). [hyper(10786,a,13192,a),flip(a)]. 13194 (K(x * y,(x * y) \ 1) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). [para(2255(a,2),13193(a,1,1,1))]. 13195 (K(x * y,y \ (x \ 1)) \ z) * (1 / z) = K(z \ (x * y),(x * y) \ z). [para(123(a,1),13194(a,1,1,1,2))]. 13196 (K(x \ y,y \ x) \ z) * (1 / z) = K(z \ (y * x),(y * x) \ z). [para(8370(a,1),13195(a,1,1,1))]. 13197 (K(x \ y,y \ x) * z) * (1 / z) = K(z \ (x * y),(x * y) \ z). [para(6443(a,1),13196(a,1,1))]. 13198 K(x \ y,y \ x) * (K(z,z \ 1) * u) = K(z \ (x * y),(x * y) \ z) \ u. [para(13196(a,1),11295(a,1,1)),flip(a)]. 13199 x * ((1 / x) * K(y \ z,z \ y)) = K(x \ (y * z),(y * z) \ x). [hyper(227,a,2043,a(flip),b,13197,a(flip)),flip(a)]. 13200 (x * (y \ 1)) * ((1 / (x * (y \ 1))) * K(z,z \ 1)) = K(z \ (x * y),(x * y) \ z). [hyper(227,a,11459,a,b,13199,a(flip)),flip(a)]. 13201 K(x \ (y * z),(y * z) \ x) = x * (K(y \ z,z \ y) / x). [para(3455(a,1),13199(a,1,2)),flip(a)]. 13202 x * (1 / ((y * (z * K(u \ w,w \ u))) * x)) = K(x \ (u * w),(u * w) \ x) / (y * z). [para(13199(a,1),11683(a,1,1)),flip(a)]. 13203 K((x * y) * z,z \ (y \ (x \ 1))) = K(z \ (y * x),(y * x) \ z). [hyper(227,a,11791,a,b,13201,a),flip(a)]. 13204 K((x * y) \ z,z \ (x * y)) = K(y \ (x * z),(x * z) \ y). [hyper(13177,a,13203,a)]. 13205 K(x \ (y * z),(y * z) \ x) / z = (z \ (y * x)) * (1 / (y * x)). [hyper(73,a,13204,a(flip),b,4283,a)]. 13206 K(x \ ((1 / y) * z),(z \ y) * x) / z = (z \ ((1 / y) * x)) * (1 / ((1 / y) * x)). [para(8330(a,1),13205(a,1,1))]. 13207 K(x \ y,y \ x) * (K(z,z \ 1) * u) = K((x * y) \ z,z \ (x * y)) * u. [hyper(227,a,6443,a(flip),b,13198,a)]. 13208 K(x \ y,y \ x) * (K(z,z \ 1) * u) = K(y \ (x * z),(x * z) \ y) * u. [para(13204(a,1),13207(a,2,1))]. 13210 (x * (y \ 1)) * ((y / x) * K(z,z \ 1)) = K(z \ (x * y),(x * y) \ z). [para(263(a,1),13200(a,1,2,1))]. 13211 (x \ y) * (((1 / y) * x) * K(z,z \ 1)) = K(z \ (y * x),(y * x) \ z). [hyper(227,a,8873,a(flip),b,13210,a(flip)),flip(a)]. 13212 (x / y) * ((1 / (x / y)) * K(z,z \ 1)) = K(z \ (y * x),(y * x) \ z). [hyper(227,a,3368,a(flip),b,13210,a(flip)),flip(a)]. 13213 (x \ y) * ((1 / y) * (K(z,z \ 1) * x)) = K(z \ (y * x),(y * x) \ z). [para(9123(a,1),13211(a,1,2))]. 13214 (x / y) * (z * (1 / ((x / y) * z))) = K(z \ (y * x),(y * x) \ z). [para(3665(a,1),13212(a,1,2))]. 13215 K(x \ (y / z),(y / z) \ x) = K(x \ (z * y),(z * y) \ x). [hyper(8598,a,13214,a)]. 13216 (x \ y) * (z * (1 / ((x \ y) * z))) = K(z \ (y * x),(y * x) \ z). [para(9443(a,1),13213(a,1,2))]. 13217 K(x \ (y \ z),(y \ z) \ x) = K(x \ (z * y),(z * y) \ x). [hyper(8598,a,13216,a)]. 13218 K(x \ (y * (z \ 1)),(y * (z \ 1)) \ x) = K(y \ z,z \ y) * K(x,x \ 1). [hyper(227,a,11300,a(flip),b,13216,a(flip))]. 13219 K((x \ y) * z,z \ ((y \ 1) * x)) = K(z \ (y * x),(y * x) \ z). [hyper(227,a,9199,a,b,13217,a(flip)),flip(a)]. 13220 K(x \ (y * (z / x)),(y * (z / x)) \ x) / u = (x \ ((z / x) \ y)) * ((x \ ((x / y) * z)) / u). [para(13219(a,1),12261(a,1,1))]. 13221 K(x \ (y * (z \ 1)),(z / y) * x) = K(y \ z,z \ y) * K(x,x \ 1). [hyper(7755,a,13218,a)]. 13222 K((x / y) * z,((x / y) * z) \ 1) = K(y \ x,x \ y) * K(z,z \ 1). [hyper(5495,a,13221,a)]. 13223 K((x / y) * z,z \ ((x / y) \ 1)) = K(y \ x,x \ y) * K(z,z \ 1). [hyper(8156,a,13222,a)]. 13224 K((x / y) * z,z \ (y * (x \ 1))) = K(y \ x,x \ y) * K(z,z \ 1). [para(125(a,1),13223(a,1,2,2))]. 13225 K(x \ y,y \ x) * K(z,z \ 1) = K((y / x) \ z,z \ (y / x)). [hyper(227,a,10868,a(flip),b,13224,a(flip))]. 13226 K(x \ y,y \ x) * (K(z,z \ 1) * u) = K((y / x) \ z,z \ (y / x)) * u. [para(13225(a,1),4577(a,1,1)),flip(a)]. 13227 K((x / y) \ z,z \ (x / y)) = K(x \ (y * z),(y * z) \ x). [hyper(18,a,13208,a(flip),b,13226,a(flip))]. 13228 (K(x \ (y * z),(y * z) \ x) / (u * w)) * u = K((x / y) \ z,z \ (x / y)) / w. [para(13227(a,1),9303(a,1,1,1))]. 13229 K(x \ ((1 / y) * z),(z \ y) * x) / z = (z \ ((1 / y) * x)) * (((x \ y) \ 1) \ 1). [para(1064(a,1),13206(a,2,2))]. 13230 K(x \ ((1 / y) * z),(z \ y) * x) / z = z \ K(y \ x,x \ y). [hyper(227,a,5617,a(flip),b,13229,a)]. 13231 K((x \ y) * z,((x \ y) * z) \ 1) / x = x \ K(y \ z,z \ y). [para(8303(a,1),13230(a,1,1))]. 13232 K((x \ y) * z,z \ ((x \ y) \ 1)) / x = x \ K(y \ z,z \ y). [para(123(a,1),13231(a,1,1,2))]. 13233 K(x \ (y \ z),(y \ z) \ x) / y = y \ K(z \ x,x \ z). [para(8370(a,1),13232(a,1,1))]. 13234 T(x,(y * z) \ K(u \ w,w \ u)) = T(x,z \ (y \ 1)). [para(13233(a,1),9118(a,1,2))]. 13235 ((x \ y) * z) * (1 / ((u * x) * ((x \ y) * z))) = (x \ K(y \ z,z \ y)) / u. [para(13233(a,1),9329(a,2,1))]. 13236 (1 / T(x,y \ (z \ 1))) \ (z * (y * K(u \ w,w \ u))) = (z * (y * K(u \ w,w \ u))) * x. [para(13234(a,1),12263(a,1,1,2))]. 13238 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(16(a,1),13006(a,1,2,1,2))]. 13239 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(8204(a,2),13131(a,1,2))]. 13240 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7486(a,1),13239(a,1,2,1,2))]. 13241 x \ T(y * T(x,K(z,u)),K(z,z * u)) = T(y,K(z * u,z) * x). [para(7701(a,1),13239(a,1,2,1,2))]. 13242 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(T(y,K(v5,w) * (x * K(z,u))),u). [para(13239(a,1),7822(a,1,1)),flip(a)]. 13243 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7486(a,1),13240(a,1,2))]. 13244 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(227,a,13239,a(flip),b,13243,a(flip))]. 13245 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(13243(a,1),14(a,1,2)),flip(a)]. 13246 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(72,a,13244,a,b,4996,a(flip))]. 13247 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(5795(a,1),13244(a,1,2)),flip(a)]. 13248 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(5049,a,13246,a)]. 13249 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(227,a,11995,a(flip),b,13248,a)]. 13250 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(6421(a,1),13248(a,1,2)),flip(a)]. 13251 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(6673(a,1),13248(a,1,2)),flip(a)]. 13252 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5862(a,1),13247(a,1,2))]. 13253 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(227,a,4958,a(flip),b,13249,a)]. 13254 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5258(a,1),13249(a,1,2)),flip(a)]. 13255 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(13249(a,1),9011(a,1,1))]. 13256 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(6395(a,2),13250(a,1,2))]. 13257 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(161(a,1),13252(a,1,2,1)),flip(a)]. 13258 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(8396,a,13257,a),flip(a)]. 13259 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(7747,a,13256,a),flip(a)]. 13260 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(2478(a,1),13256(a,1,2,1))]. 13261 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(2499(a,2),13256(a,1,2,1))]. 13262 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(13253(a,2),5049(a,1))]. 13263 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(8388,a,13258,a),flip(a)]. 13264 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(160(a,1),13263(a,1,2,2,1)),flip(a)]. 13265 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(13264(a,1),4953(a,2,2))]. 13266 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(227,a,4953,a,b,13265,a)]. 13267 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(2606(a,1),13266(a,2,1))]. 13268 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(227,a,12629,a(flip),b,13260,a(flip))]. 13271 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(227,a,12009,a,b,13251,a(flip)),flip(a)]. 13272 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(5025(a,1),13254(a,1,2,2)),flip(a)]. 13273 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(7600(a,1),13259(a,1,2,2))]. 13274 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(13273(a,1),7747(a,1))]. 13275 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10141(a,1),13271(a,1,2))]. 13276 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(227,a,13238,a(flip),b,13275,a(flip)),flip(a)]. 13277 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(5603(a,1),13275(a,1,2,2,2)),flip(a)]. 13278 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). [para(7701(a,1),13241(a,1,2))]. 13279 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [hyper(227,a,13239,a(flip),b,13278,a(flip))]. 13280 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(227,a,13244,a,b,13279,a(flip)),flip(a)]. 13281 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(8395,a,13280,a),flip(a)]. 13282 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(8394,a,13281,a),flip(a)]. 13283 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(5391(a,1),13282(a,1,2,2)),flip(a)]. 13284 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9558,a,13255,a),flip(a)]. 13285 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(5605(a,1),13284(a,1,2,1))]. 13286 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(3284(a,1),13267(a,1,1))]. 13287 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4989(a,1),13286(a,1,1,2)),flip(a)]. 13288 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4957(a,1),13287(a,1,1,2))]. 13289 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(13288(a,1),5102(a,1,1,2))]. 13290 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(5236,a,13289,a),flip(a)]. 13291 K(x,y \ K(z \ 1,u)) != w | K(x,y \ K(z,u)) = w. [para(13290(a,2),12134(a,1))]. 13292 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(227,a,13285,a(flip),b,13276,a(flip)),flip(a)]. 13293 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(227,a,12628,a(flip),b,13292,a(flip)),flip(a)]. 13294 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4996(a,2),13293(a,1,2,1))]. 13295 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(1938(a,1),13294(a,1,2,1))]. 13296 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(113(a,1),13295(a,1,2,2,1))]. 13297 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(113(a,1),13296(a,1,2,2,2,2))]. 13298 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(7597(a,1),13297(a,2,2))]. 13300 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(v5,w) * x)). [hyper(227,a,8775,a(flip),b,13242,a)]. 13302 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(w,v5) * x)). [para(13244(a,1),13300(a,2,2))]. 13303 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(7550(a,1),13272(a,2,2,1))]. 13304 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(7515(a,1),13303(a,2,2))]. 13305 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(5025(a,1),13304(a,1,2,2,1,2))]. 13306 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5255(a,1),13305(a,1,2))]. 13307 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(13306(a,1),5101(a,1,2)),flip(a)]. 13308 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(227,a,5101,a(flip),b,13307,a)]. 13309 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(227,a,8299,a(flip),b,13308,a(flip))]. 13310 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(12012,a,13309,a)]. 13311 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(10789,a,13310,a)]. 13312 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(227,a,10176,a(flip),b,13311,a),flip(a)]. 13313 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(7149(a,1),13312(a,1,1))]. 13314 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(7746,a,13313,a),flip(a)]. 13315 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(227,a,9744,a,b,13314,a(flip)),flip(a)]. 13316 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(6326,a,13315,a),flip(a)]. 13317 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(6327,a,13316,a),flip(a)]. 13318 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(5009(a,1),13317(a,1,1,2)),flip(a)]. 13319 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(13318(a,1),5101(a,1,2)),flip(a)]. 13320 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(227,a,5101,a(flip),b,13319,a)]. 13321 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(2597(a,1),13320(a,1,2,2,1))]. 13322 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4978(a,1),13320(a,1,2,2,1)),flip(a)]. 13323 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(7807,a,13322,a)]. 13324 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(1539(a,2),13323(a,2,2,2))]. 13325 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(13291,a,13324,a)]. 13326 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(227,a,13323,a(flip),b,13325,a(flip))]. 13327 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(62(a,1),13326(a,1,2,2,2)),flip(a)]. 13328 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(655(a,1),13327(a,1,2,2,2))]. 13329 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(227,a,12604,a(flip),b,13321,a(flip)),flip(a)]. 13330 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(1227(a,1),13329(a,1,2,2)),flip(a)]. 13331 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(227,a,13298,a(flip),b,13330,a(flip))]. 13332 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5474(a,1),13331(a,1,2,2,2))]. 13333 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10174(a,1),13277(a,2,2))]. 13334 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(7601(a,1),13333(a,1,2))]. 13335 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9384(a,1),13334(a,1,2)),flip(a)]. 13336 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(227,a,7576,a(flip),b,13335,a)]. 13338 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(227,a,13031,a(flip),b,13336,a(flip)),flip(a)]. 13339 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(1210(a,1),13338(a,1,2,2,1))]. 13340 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(6129(a,1),13339(a,1,2,1))]. 13341 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(1210(a,1),13340(a,1,2,2,2,2))]. 13342 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(227,a,13261,a(flip),b,13341,a(flip)),flip(a)]. 13343 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(6129(a,1),13342(a,2,2))]. 13344 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(227,a,13330,a(flip),b,13343,a(flip)),flip(a)]. 13345 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(227,a,12599,a(flip),b,13332,a(flip)),flip(a)]. 13346 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13283(a,1),13345(a,1,2,2))]. 13347 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5344(a,1),13346(a,1,2,2,2,2))]. 13348 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13282(a,1),13347(a,1,2,2))]. 13349 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4996(a,2),13348(a,1,2,2,2))]. 13350 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12601,a,13349,a)]. 13351 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(227,a,13268,a(flip),b,13350,a(flip))]. 13352 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(6131(a,1),13351(a,1,2))]. 13353 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(7759,a,13352,a),flip(a)]. 13354 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(5257(a,1),13353(a,1,2,1)),flip(a)]. 13355 (x / ((y \ 1) * (z * K(u,u \ 1)))) * ((y \ u) * (1 / u)) = y * ((y \ x) / z). [hyper(227,a,9169,a(flip),b,13160,a)]. 13357 (x / (((y \ z) * (1 / z)) * u)) * ((y \ z) * (1 / z)) = y * ((y \ x) / u). [para(9166(a,1),13355(a,1,1,2))]. 13358 (x \ K(y \ z,z \ y)) / u = x \ (K(y \ z,z \ y) / u). [hyper(9330,a,13357,a),flip(a)]. 13359 (x * y) / ((1 / z) \ y) = y * ((y \ x) / z). [hyper(227,a,12280,a(flip),b,13357,a(flip)),flip(a)]. 13360 (x / ((1 / y) * z)) * (1 / y) = y * ((y \ x) / z). [hyper(227,a,10596,a,b,13359,a(flip)),flip(a)]. 13361 ((x * (1 / y)) / ((1 / z) \ (1 / y))) * z = z \ ((z / y) * ((1 / y) \ x)). [para(13359(a,2),1508(a,1,1))]. 13362 ((x \ y) * z) * (1 / ((u * x) * ((x \ y) * z))) = x \ (K(y \ z,z \ y) / u). [hyper(227,a,13235,a,b,13358,a(flip)),flip(a)]. 13363 ((1 / x) * y) * (1 / ((z * ((u \ 1) \ 1)) * ((1 / x) * y))) = u \ (K(y \ x,x \ y) / z). [hyper(227,a,11772,a,b,13358,a(flip)),flip(a)]. 13364 x \ ((x / y) * ((1 / y) \ z)) = ((z * (1 / y)) / (x / y)) * x. [para(339(a,1),13361(a,1,1,2)),flip(a)]. 13365 x \ ((x / y) * ((1 / y) \ z)) = ((z / (y * x)) * y) * x. [para(9873(a,1),13364(a,2,1))]. 13366 x \ (y \ ((y * x) * z)) = ((z / (y * x)) * y) * x. [hyper(227,a,2156,a(flip),b,13365,a(flip)),flip(a)]. 13367 x \ ((x / y) * (y * ((y \ 1) \ z))) = (((y * z) / (y * x)) * y) * x. [para(1376(a,1),13365(a,1,2,2))]. 13368 x * (((y / (z * x)) * z) * x) = z \ ((z * x) * y). [para(13366(a,1),14(a,1,2))]. 13369 ((x / ((1 / y) * z)) * (1 / y)) * z = z \ (y / (x \ (z \ y))). [para(757(a,1),13366(a,1,2)),flip(a)]. 13370 x \ (y \ ((y * x) * z)) != u | ((z / (y * x)) * y) * x = u. [para(13368(a,1),282(a,1,2)),flip(b)]. 13371 L(x,y,y) * (((z / ((1 / y) \ x)) * y) * L(x,y,y)) = y \ ((y * L(x,y,y)) * z). [para(1368(a,1),13368(a,1,2,1,1,2))]. 13372 x * (((L(1 / y,z * x,y) / (z * x)) * z) * x) = z \ ((z * x) / y). [para(5552(a,1),13368(a,2,2))]. 13373 x \ (y / (z \ (x \ y))) = (y * ((y \ z) / x)) * x. [para(13360(a,1),13369(a,1,1)),flip(a)]. 13374 (((x * y) / (x * z)) * x) * z = L((x \ 1) \ y,x,x \ z). [hyper(11097,a,13367,a),flip(a)]. 13375 x * (((1 / ((y * x) * L(z,z,y * x))) * y) * x) = y \ ((y * x) / z). [para(5556(a,1),13372(a,1,2,1,1))]. 13376 x * (((1 / ((1 / (y * x)) \ z)) * y) * x) = y \ ((y * x) / z). [para(4162(a,1),13375(a,1,2,1,1,2))]. 13377 x * ((((1 / y) * (1 / (z * x))) * z) * x) = z \ ((z * x) / y). [para(313(a,1),13376(a,1,2,1,1))]. 13378 x * ((y \ ((y / z) * (1 / x))) * x) = y \ ((y * x) / z). [para(1591(a,1),13377(a,1,2,1))]. 13379 K(x \ (y \ z),(y \ z) \ x) / (u * y) = y \ (K(z \ x,x \ z) / u). [hyper(227,a,8392,a(flip),b,13362,a(flip)),flip(a)]. 13380 K(x \ (y * z),(y * z) \ x) / (u * z) = z \ (K(y \ x,x \ y) / u). [para(13217(a,1),13379(a,1,1))]. 13381 ((1 / x) * y) * (((y \ x) \ 1) \ (1 / (z * ((u \ 1) \ 1)))) = u \ (K(y \ x,x \ y) / z). [para(1138(a,1),13363(a,1,2))]. 13382 ((1 / x) * y) * (((y \ x) \ 1) \ ((1 / 1) \ ((z \ 1) / u))) = z \ (K(y \ x,x \ y) / u). [para(341(a,1),13381(a,1,2,2))]. 13383 ((1 / x) * y) * (((y \ x) \ 1) \ (1 \ ((z \ 1) / u))) = z \ (K(y \ x,x \ y) / u). [para(59(a,1),13382(a,1,2,2,1))]. 13385 ((1 / x) * y) * (((y \ x) \ 1) \ (1 \ (z \ (1 / u)))) = z \ (K(y \ x,x \ y) / u). [para(318(a,1),13383(a,1,2,2,2))]. 13386 ((1 / x) * y) * (((y \ x) \ 1) \ (z \ (1 / u))) = z \ (K(y \ x,x \ y) / u). [para(50(a,1),13385(a,1,2,2))]. 13387 K(x \ y,y \ x) * (z \ (1 / u)) = z \ (K(y \ x,x \ y) / u). [hyper(227,a,4275,a(flip),b,13386,a(flip)),flip(a)]. 13388 x \ (K(y \ z,z \ y) / (u \ 1)) = K(z \ y,y \ z) * (x \ u). [para(62(a,1),13387(a,1,2,2)),flip(a)]. 13389 x \ (K(y \ z,z \ y) * u) = K(z \ y,y \ z) * (x \ u). [para(6451(a,1),13388(a,1,2))]. 13390 x * (1 / ((K(y \ z,z \ y) * (u \ w)) * x)) = (x * (K(z \ y,y \ z) / (w * x))) * u. [para(13389(a,1),11178(a,1,2,2,1))]. 13391 x * (1 / (K(y \ z,z \ y) * ((u \ w) * x))) = (x * (K(z \ y,y \ z) / (w * x))) * u. [para(4577(a,1),13390(a,1,2,2))]. 13392 x * ((1 / ((y \ z) * x)) * K(u \ w,w \ u)) = (x * (K(w \ u,u \ w) / (z * x))) * y. [para(10800(a,1),13391(a,1,2))]. 13393 (x * (K(y \ z,z \ y) / (u * x))) * w = x * (K(z \ y,y \ z) / ((w \ u) * x)). [para(3455(a,1),13392(a,1,2)),flip(a)]. 13394 x \ (1 / (((y \ (z \ ((1 / x) * (1 / (1 * (x \ (1 / x))))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(926(a,1),13108(a,1,2,2,1,1,2,2,2,2))]. 13395 x \ (1 / (((y \ (z \ ((1 / x) * (1 / (x \ (1 / x)))))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(11(a,1),13394(a,1,2,2,1,1,2,2,2,2))]. 13396 x \ (1 / (((y \ (z \ ((1 / x) * ((1 / x) \ x)))) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(1290(a,1),13395(a,1,2,2,1,1,2,2,2))]. 13397 x \ (1 / (((y \ (z \ x)) * (1 / x)) * (1 / x))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(14(a,1),13396(a,1,2,2,1,1,2,2))]. 13398 x \ (1 / (((y \ (z \ x)) * (x \ 1)) * (x \ 1))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(5480(a,1),13397(a,1,2,2))]. 13399 x \ (1 / ((x * ((y * x) \ (z \ 1))) * (x \ 1))) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(1771(a,1),13398(a,1,2,2,1))]. 13400 x \ (1 / T((y * x) \ (z \ 1),x \ 1)) = ((x \ 1) \ 1) * (((1 / x) * z) * y). [para(639(a,1),13399(a,1,2,2))]. 13401 (1 / ((x * y) \ (z \ 1))) * (y \ 1) = ((y \ 1) \ 1) * (((1 / y) * z) * x). [hyper(1299,a,13400,a)]. 13402 ((1 / 1) \ (x * (y * z))) * (z \ 1) = ((z \ 1) \ 1) * (((1 / z) * x) * y). [para(340(a,1),13401(a,1,1))]. 13403 ((x \ 1) \ 1) * (((1 / x) * y) * z) = (1 \ (y * (z * x))) * (x \ 1). [para(59(a,1),13402(a,1,1,1)),flip(a)]. 13404 ((x \ 1) \ 1) * (((1 / x) * y) * z) = (y * (z * x)) * (x \ 1). [para(50(a,1),13403(a,2,1))]. 13406 1 / ((x \ (y \ z)) / z) = (y * (x * z)) * (z \ 1). [hyper(227,a,1732,a(flip),b,13404,a(flip)),flip(a)]. 13407 (x * (y * z)) * (z \ 1) = z * (((z \ 1) * x) * y). [hyper(227,a,10348,a(flip),b,13406,a(flip))]. 13408 x * (((x \ 1) * y) * L(z,x,x)) = (y * ((1 / z) \ x)) * (x \ 1). [para(1306(a,1),13407(a,1,1,2)),flip(a)]. 13409 x * (((x \ 1) * y) * L(z,x,x)) = (x \ 1) \ ((x \ y) * z). [hyper(227,a,2883,a(flip),b,13408,a)]. 13410 (x \ 1) \ ((x \ y) * z) = (y * x) * (x \ z). [hyper(227,a,10029,a(flip),b,13409,a(flip))]. 13411 x / (y \ (x * (z \ x))) = ((z / x) * x) * (x \ y). [hyper(227,a,10349,a(flip),b,13410,a(flip)),flip(a)]. 13412 x / (y \ (x * (z \ x))) = z * (x \ y). [hyper(227,a,87,a(flip),b,13411,a)]. 13414 (x * (y \ z)) \ y = z \ (y * (x \ y)). [para(13412(a,1),65(a,1,1))]. 13415 x / (y \ ((z \ 1) \ x)) = (z \ x) * (x \ y). [para(784(a,1),13412(a,1,2,2))]. 13416 (x * y) \ (x * (z \ x)) = (z * y) \ x. [para(13(a,1),13414(a,1,1,2)),flip(a)]. 13417 ((x / y) * z) \ x = (x * z) \ (x * y). [para(65(a,1),13416(a,1,2,2)),flip(a)]. 13418 (x * y) \ (x * (x \ ((x * z) * u))) = (((x / u) / z) * y) \ x. [para(1883(a,1),13416(a,1,2,2))]. 13419 R(1 / x,y,y \ (z \ 1)) \ 1 = (z * (y \ 1)) \ (z * (y \ x)). [hyper(227,a,9870,a,b,13417,a(flip)),flip(a)]. 13420 (1 / x) * ((y / x) \ z) = (x * y) \ (x * z). [hyper(227,a,1523,a,b,13417,a(flip)),flip(a)]. 13421 (((1 / x) * y) \ ((1 / x) * z)) \ 1 = x * (((((1 / x) / z) * y) \ 1) \ 1). [para(13417(a,1),320(a,1,1))]. 13422 ((((x / y) * z) \ x) \ 1) * (((x * z) \ (x * y)) \ u) = (((x * y) \ (x * z)) * ((x * y) \ (x * z))) * u. [para(13417(a,2),3985(a,1,1,1))]. 13423 ((x \ ((1 / y) * z)) \ 1) \ ((1 * z) \ (1 * y)) = ((1 / y) * z) \ (((1 / y) * z) / x). [para(13417(a,1),5419(a,1,2))]. 13424 (((x / y) / z) * u) \ x = (x * u) \ ((x * z) * y). [para(14(a,1),13418(a,1,2)),flip(a)]. 13425 a(x,y,z) = (((x / z) / y) * (y * z)) \ x. [hyper(227,a,24,a,b,13424,a),flip(a)]. 13427 (((1 / (x / y)) \ z) * u) \ x = (x * u) \ ((x * (z \ 1)) * y). [para(317(a,1),13424(a,1,1,1))]. 13428 a(x,y,z) = L(x,z,y) \ x. [para(10850(a,2),13425(a,2,1))]. 13429 a(x,y,z) = x * L(x \ 1,z,y). [hyper(227,a,13067,a,b,13428,a)]. 13430 a(x,(y \ 1) * z,u) = L(x,u,y \ z) \ x. [hyper(227,a,12623,a,b,13428,a(flip)),flip(a)]. 13431 L(x,y,z) = x / a(x,z,y). [para(13428(a,2),62(a,1,2)),flip(a)]. 13433 a(x,y,z) \ 1 = x \ L(x,z,y). [para(13428(a,2),4478(a,1,1))]. 13434 a(x,T(y,x),z) = L(x,z,y) \ x. [para(9681(a,1),13428(a,2,1))]. 13435 L(x,y,z) \ (x * u) = a(x,z,y) * u. [para(13428(a,2),11258(a,2,1))]. 13436 x * a(y,z,K(u,x)) = L(x,K(u,y),z). [hyper(12885,a,13431,a(flip))]. 13437 L(x,y,z) \ x != u | a(x,z,y) = u. [para(13431(a,2),281(a,1,1)),flip(b)]. 13438 a(x,y,z) = (x \ 1) \ L(x \ 1,z,y). [hyper(227,a,9207,a,b,13429,a)]. 13440 L(x,y,z) = (a(x,z,y) \ 1) * x. [para(13433(a,2),9204(a,1,1)),flip(a)]. 13441 x * (y \ L(y,z,u)) = x / a(y,u,z). [para(13433(a,1),12710(a,1,2))]. 13442 a(x,T(y,x),z) = a(x,y,z). [hyper(227,a,13428,a,b,13434,a)]. 13443 L(x,K(y,z),u) = T(x,a(y,u,z)). [hyper(12913,a,13436,a),flip(a)]. 13444 x / (L(y,z,u) \ y) = x * (y \ L(y,z,u)). [para(13428(a,1),13441(a,2,2)),flip(a)]. 13445 x / a(y \ 1,z,u) = x * a(y,z,u). [para(13438(a,2),13441(a,1,2)),flip(a)]. 13446 x * a(y \ 1,z,u) = x / a(y,z,u). [hyper(305,a,13445,a),flip(a)]. 13447 L(x,y,z) = x * a(x \ 1,z,y). [hyper(227,a,13431,a,b,13446,a),flip(a)]. 13448 a(x \ 1,y,z) = a(x,y,z) \ 1. [hyper(72,a,59,a(flip),b,13446,a),flip(a)]. 13449 x \ (x / a(y,z,u)) != w | a(y \ 1,z,u) = w. [para(13446(a,1),282(a,1,2)),flip(b)]. 13450 L(x,y,z) != x * u | a(x \ 1,z,y) = u. [para(13447(a,2),19(a,1))]. 13451 (x * (y * z)) \ ((z / (x * (y * z))) \ L(z,y,x)) = a(x \ 1,y,z). [hyper(227,a,4032,a,b,13448,a),flip(a)]. 13452 a(x \ 1,y,z) \ u = a(x,y,z) * u. [para(13448(a,2),12713(a,1,1))]. 13453 L(x,y,z) = a(x \ 1,z,y) * x. [para(13448(a,2),13440(a,2,1))]. 13454 a(x,(y \ 1) * z,u) != w | a(x,y \ z,u) = w. [para(13430(a,2),13437(a,1))]. 13455 (x * y) * (y \ L(y,z,u)) = x * L(y,z,u). [hyper(13070,a,13444,a),flip(a)]. 13456 (L(x,y,z) \ x) \ u = (x \ L(x,y,z)) * u. [hyper(9059,a,13444,a),flip(a)]. 13457 (((x \ 1) \ y) * (1 / T(x,y))) * ((1 / T(x,y)) \ L(1 / T(x,y),z,u)) = L(x \ 1,z,u) * ((x \ 1) \ y). [hyper(227,a,1906,a(flip),b,13455,a)]. 13459 (x \ L(x,y,z)) * u = L(x,y,z) * (x \ u). [hyper(227,a,11254,a(flip),b,13456,a(flip))]. 13460 L(x \ 1,y,z) * ((x \ 1) \ u) = (x * L(x \ 1,y,z)) * u. [para(9207(a,1),13459(a,1,1)),flip(a)]. 13461 a(x,y,z) \ 1 != u | a(x \ 1,y,z) = u. [para(59(a,1),13449(a,1,2))]. 13462 (x * y) \ ((x * (y \ 1)) * z) = ((x / z) * (y * y)) \ x. [para(909(a,1),13427(a,1,1)),flip(a)]. 13463 (x * y) \ ((x * (y \ 1)) * z) = ((y * y) \ (z / x)) * x. [hyper(227,a,2152,a(flip),b,13462,a)]. 13464 1 / ((x \ (y / z)) * (z * y)) = ((y * y) \ (x / z)) * z. [hyper(4889,a,13463,a)]. 13465 L(x \ 1,y,z) * ((x \ 1) \ u) = (L(x,y,z) \ x) * u. [para(13067(a,1),13460(a,2,1))]. 13466 L(x \ 1,y,z) * ((x \ 1) \ u) != u * w | T(L(x,y,z) \ x,u) = w. [para(13465(a,2),167(a,2)),flip(a)]. 13467 x * (((((1 / x) / y) * z) \ 1) \ 1) = ((z \ x) / (y \ x)) \ 1. [para(758(a,1),13421(a,1,1)),flip(a)]. 13468 x * (((((1 / x) / y) * z) \ 1) \ 1) = (y \ x) * ((z \ x) \ 1). [hyper(227,a,125,a(flip),b,13467,a)]. 13469 x * ((((1 / (y * x)) * z) \ 1) \ 1) = (y \ x) * ((z \ x) \ 1). [para(325(a,1),13468(a,1,2,1,1,1))]. 13470 (x \ y) * ((z \ y) \ 1) = y * ((z \ (x * y)) \ 1). [para(250(a,1),13469(a,1,2,1)),flip(a)]. 13471 x * ((L(x,y,z) \ (u * x)) \ 1) = (u \ x) * (x \ L(x,y,z)). [para(4478(a,1),13470(a,1,2)),flip(a)]. 13472 ((x * y) / y) \ L(y,z,u) = (x \ y) * (y \ L(y,z,u)). [hyper(11259,a,13471,a)]. 13473 (x \ y) * (y \ L(y,z,u)) = x \ L(y,z,u). [para(15(a,1),13472(a,1,1)),flip(a)]. 13474 (x / y) \ L(x,z,u) = y * (x \ L(x,z,u)). [hyper(615,a,13473,a),flip(a)]. 13475 (x / y) \ L(x,z,u) = y / a(x,u,z). [hyper(227,a,13441,a(flip),b,13474,a)]. 13477 (x * (y * z)) \ ((x * (y * z)) / a(z,x,y)) = a(x \ 1,y,z). [para(13475(a,1),13451(a,1,2))]. 13478 a(x \ 1,y,z) != u | a(z \ 1,x,y) = u. [para(13477(a,1),13449(a,1))]. 13479 a(x \ 1,y,z) = a(y,z,x) \ 1. [hyper(13478,a,13448,a)]. 13480 L(x,y,z) = x * (a(z,y,x) \ 1). [para(13479(a,1),13447(a,2,2))]. 13481 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(72,a,13480,a,b,xx),flip(a)]. 13484 ((x \ y) * ((z \ 1) \ 1)) \ ((1 * x) \ (1 * y)) = ((1 / y) * x) \ (((1 / y) * x) / z). [para(753(a,1),13423(a,1,1))]. 13485 ((x \ y) * ((z \ 1) \ 1)) \ (x \ (1 * y)) = ((1 / y) * x) \ (((1 / y) * x) / z). [para(11(a,1),13484(a,1,2,1))]. 13486 ((x \ y) * ((z \ 1) \ 1)) \ (x \ y) = ((1 / y) * x) \ (((1 / y) * x) / z). [para(11(a,1),13485(a,1,2,2))]. 13487 ((1 / x) * y) \ (((1 / x) * y) / z) = (y \ x) * (((z \ 1) \ (y \ x)) \ 1). [hyper(1271,a,13486,a),flip(a)]. 13488 ((1 / x) * y) \ (((1 / x) * y) / z) = (y \ x) * (((y \ x) \ 1) * (1 / z)). [para(1070(a,1),13487(a,2,2))]. 13489 ((1 / x) * y) \ (((1 / x) * y) / z) = L(1 / z,y \ x,y \ x). [hyper(227,a,1389,a(flip),b,13488,a)]. 13490 (((x * y) \ (x * z)) * ((x * y) \ (x * z))) * u = (((z / x) \ y) \ x) * (((x * z) \ (x * y)) \ u). [para(1595(a,1),13422(a,1,1)),flip(a)]. 13491 ((x / y) \ (x * z)) \ y = L(z,x,y) \ 1. [hyper(4377,a,13490,a),flip(a)]. 13492 L(R(x,y \ 1,y / z),y,y) = L(1 / x,y,z) \ 1. [hyper(227,a,10780,a,b,13491,a(flip)),flip(a)]. 13493 L(R(x,y \ 1,y / z),y,y) != u | L(x,y,z) = u. [para(13492(a,2),13063(a,1))]. 13494 x * ((1 / T(y,x)) \ L(1 / T(y,x),z,u)) = L(y \ 1,z,u) * ((y \ 1) \ x). [para(1785(a,1),13457(a,1,1))]. 13495 L(x \ 1,y,z) * ((x \ 1) \ u) = u * (T(x,u) / L(T(x,u),y,z)). [para(13065(a,1),13494(a,1,2)),flip(a)]. 13496 L(x \ 1,y,z) * ((x \ 1) \ u) = u * (L(T(x,u),y,z) \ T(x,u)). [para(4483(a,1),13495(a,2,2))]. 13497 L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). [hyper(13466,a,13496,a),flip(a)]. 13498 T(L(x,y,z) \ x,u) = a(T(x,u),z,y). [hyper(13437,a,13497,a),flip(a)]. 13499 a(T(x,y),z,u) = T(a(x,z,u),y). [para(13428(a,2),13498(a,1,1)),flip(a)]. 13500 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(7599(a,1),13354(a,2,2,2))]. 13501 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(7627(a,1),13500(a,2,2,2))]. 13502 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(227,a,13328,a(flip),b,13501,a)]. 13503 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(227,a,12044,a(flip),b,13502,a)]. 13504 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(227,a,12628,a(flip),b,13503,a)]. 13505 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(4996(a,2),13504(a,2,2,1))]. 13506 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(227,a,13344,a(flip),b,13505,a)]. 13507 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),13506(a,1,2,1,2))]. 13508 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(6054(a,1),13507(a,1,2))]. 13509 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(8376(a,1),13508(a,1,2)),flip(a)]. 13510 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),13509(a,1,2,1)),flip(a)]. 13511 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(65(a,1),13509(a,1,2,2)),flip(a)]. 13512 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),13510(a,1,2,1)),flip(a)]. 13515 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(13512(a,1),7759(a,1))]. 13518 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(9068(a,1),13511(a,1,2))]. 13519 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(13515,a,13518,a)]. 13520 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(13519(a,1),11900(a,1,1))]. 13521 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(10985,a,13520,a)]. 13522 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(7635,a,13521,a)]. 13525 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13522(a,1),6627(a,1,2)),flip(a)]. 13528 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(7837,a,13525,a),flip(a)]. 13529 T(x,K(y,K(z,u))) = x. [hyper(7500,a,13525,a)]. 13530 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7471,a,13525,a)]. 13531 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [hyper(227,a,5918,a(flip),b,13525,a)]. 13535 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13525(a,1),465(a,2,3))]. 13537 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(8386,a,13529,a)]. 13538 K(x,T(y,K(z,u))) = K(x,y). [hyper(7960,a,13529,a)]. 13539 (K(x,x \ K(y,z)) * u) * (w \ K(x,x \ K(y,z))) = u * (w \ 1). [hyper(227,a,11636,a,b,13529,a(flip)),flip(a)]. 13540 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(13529(a,1),7644(a,1))]. 13541 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(13529(a,1),13239(a,1,2,1,2))]. 13542 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(8362,a,13538,a)]. 13551 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7385(a,1),13538(a,1,2))]. 13554 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(8385(a,1),13538(a,1,2))]. 13556 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(6615,a,13551,a)]. 13569 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(13556(a,1),11729(a,1,2))]. 13570 ((1 / K(x,K(y,z))) * u) * w = u * (w * K(x,K(y,z))). [hyper(906,a,13530,a)]. 13571 K(x,K(y,z)) \ (u \ 1) = u \ K(x,K(y,z)). [hyper(227,a,6514,a(flip),b,13530,a)]. 13572 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(13537(a,1),13245(a,2,2))]. 13573 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11369(a,1),13542(a,2,2))]. 13575 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(13554(a,1),6508(a,1,2))]. 13579 K(1 / x,K(y,z)) * (u * ((w \ x) * (1 / x))) = ((w / u) \ x) * T(1 / x,K(y,z)). [para(9234(a,1),13531(a,1,2))]. 13580 x * (K(y,K(z,u)) * (w \ K(y,K(z,u)))) = x * (w \ 1). [para(13571(a,1),86(a,1,2,2))]. 13583 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(13529(a,1),13541(a,1,2)),flip(a)]. 13584 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(227,a,32,a,b,13583,a)]. 13586 T(x,K(y,y \ K(z,u)) * w) = T(x,w). [hyper(227,a,9907,a,b,13584,a(flip)),flip(a)]. 13587 T(x,y * K(z,K(u,w))) = T(x,y). [para(7555(a,1),13584(a,1,2)),flip(a)]. 13589 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(13587(a,1),4953(a,2,2))]. 13593 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(227,a,4953,a,b,13589,a)]. 13594 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(13589(a,2),5021(a,1))]. 13595 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(2420(a,1),13593(a,1,1))]. 13596 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [para(13593(a,1),5004(a,2,1)),flip(a)]. 13597 K(x \ (y * T(x * K(z,u),K(w,v5))),u) = K(y,T(u,K(w,v5) * x)). [hyper(227,a,13302,a(flip),b,13595,a(flip))]. 13598 ((1 * K(x,K(y,z))) * u) * w = u * (w * K(x,K(y,z))). [para(7470(a,1),13570(a,1,1,1))]. 13599 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(13572(a,1),7487(a,1,1))]. 13600 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(6182,a,13596,a),flip(a)]. 13601 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(13600(a,2),7462(a,1,1))]. 13603 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [para(11(a,1),13598(a,1,1,1))]. 13604 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(13525(a,1),13603(a,1,1))]. 13605 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(13525(a,2),13604(a,2,2))]. 13606 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [hyper(12583,a,13605,a),flip(a)]. 13607 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [hyper(13540,a,13606,a)]. 13609 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(10716,a,13606,a)]. 13610 a(x,y,K(z,K(u,w))) = 1. [hyper(71,a,13606,a(flip),b,89,a),flip(a)]. 13612 K(x,a(K(y,z),u,w)) = 1. [hyper(227,a,12883,a(flip),b,13610,a(flip)),flip(a)]. 13615 T(x,a(K(y,z),u,w)) = x. [hyper(37,a,13612,a)]. 13619 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(12919,a,13615,a)]. 13622 T(x,K(y,a(z,u,w))) = x. [para(12869(a,1),13615(a,1,2))]. 13624 T(x,T(a(y,z,u),w)) = T(x,a(y,z,u)). [hyper(7736,a,13622,a)]. 13628 T(x,K(a(y,z,u),w)) != v5 | v5 = x. [para(13622(a,1),6734(a,1,1))]. 13630 T(x,a(y,z,K(u,w))) != v5 | v5 = x. [para(12799(a,2),13628(a,1,2))]. 13631 T(x,T(a(y,z,u) \ 1,w)) = T(x,a(u,z,y)). [hyper(13630,a,13035,a)]. 13634 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(13609(a,1),12939(a,1,1)),flip(a)]. 13635 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(227,a,12814,a,b,13619,a(flip)),flip(a)]. 13636 T(x,x * T(a(y,z,u),w)) = T(x,a(y,z,u)). [hyper(227,a,12726,a,b,13624,a(flip)),flip(a)]. 13638 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(227,a,12877,a,b,13635,a)]. 13639 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(115(a,1),13635(a,1,3,2)),flip(a)]. 13640 a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). [para(6563(a,1),13635(a,1,3)),flip(a)]. 13642 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13638(a,1),12987(a,1,2))]. 13643 T(T(x,a(y,z,u)),x * (1 * T(a(u,z,y),w))) = x. [para(13631(a,1),12955(a,1,1))]. 13644 T(x,T(a(y,z,u) * x,w)) = T(x,a(y,z,u)). [hyper(12436,a,13636,a)]. 13646 T(x,T(a(y,z,u) * x,w)) = L(x,K(y,u),z). [hyper(227,a,13443,a,b,13644,a)]. 13649 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [para(7407(a,1),13607(a,2,2))]. 13650 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13525(a,2),13607(a,2,2))]. 13651 K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). [para(13606(a,1),13607(a,2,2))]. 13652 L(x,y,K(z,K(u,w))) = x. [hyper(10716,a,13634,a)]. 13653 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(13634(a,1),28(a,2,2,2)),flip(a)]. 13655 T(T(x,a(y,z,u)),x * T(a(u,z,y),w)) = x. [para(11(a,1),13643(a,1,2,2))]. 13657 T(L(x,K(y,z),u),x * T(a(z,u,y),w)) = x. [para(13443(a,2),13655(a,1,1))]. 13658 L(T(x,x * T(a(y,z,u),w)),K(u,y),z) = x. [hyper(227,a,40,a,b,13657,a(flip)),flip(a)]. 13659 L(T(x,T(a(y,z,u) * x,w)),K(u,y),z) = x. [para(12435(a,2),13658(a,1,1))]. 13660 L(L(x,K(y,z),u),K(z,y),u) = x. [para(13646(a,1),13659(a,1,1))]. 13661 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(7471,a,13650,a)]. 13663 K(x,K(y,z)) * (u * (1 / w)) = u * (K(x,K(y,z)) / w). [para(6452(a,1),13650(a,2,2))]. 13666 K(x,K(y,z)) * (u * (w * (1 / v5))) = u * (w * (K(x,K(y,z)) / v5)). [para(13663(a,1),13650(a,2,2))]. 13667 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(13262,a,13573,a)]. 13668 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(13528(a,1),13601(a,1,1,1))]. 13669 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) != v6 | L(L(v5,w,u),u * w,K(x,K(y,z))) = v6. [para(13651(a,1),1158(a,1,2))]. 13670 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(227,a,13573,a(flip),b,13667,a(flip))]. 13671 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(227,a,9852,a,b,13670,a(flip)),flip(a)]. 13672 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4996(a,2),13671(a,2,2,2))]. 13673 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(6300,a,13672,a)]. 13674 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(13274,a,13673,a)]. 13675 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(11105,a,13674,a),flip(a)]. 13676 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(12010,a,13675,a)]. 13677 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(13676(a,1),5004(a,2,1))]. 13678 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(227,a,5004,a,b,13677,a)]. 13679 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). [hyper(227,a,13240,a,b,13678,a(flip)),flip(a)]. 13681 K(x,x \ K(y,z)) * ((u / w) \ K(x,x \ K(y,z))) = w * (u \ 1). [hyper(227,a,3336,a(flip),b,13539,a(flip)),flip(a)]. 13683 K(x * K(y * K(z,u),K(w,v5)),T(u,y)) = K(x,T(u,K(w,v5) * y)). [hyper(227,a,10544,a(flip),b,13597,a(flip)),flip(a)]. 13684 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(13594,a,13683,a),flip(a)]. 13691 (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). [para(13684(a,1),13575(a,1,2))]. 13693 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(7522(a,1),13691(a,1,2)),flip(a)]. 13694 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(166,a,13693,a(flip),b,7838,a),flip(a)]. 13696 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(7460,a,13694,a),flip(a)]. 13697 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(8876,a,13696,a),flip(a)]. 13703 K(x,y) * T(K(x,y) * z,K(u,w)) = y * (T(T(y,x),x) \ T(z,K(u,w))). [para(13697(a,2),8219(a,1,2))]. 13706 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6500,a,13668,a),flip(a)]. 13707 T(K(x,y) * (K(x,y) * z),K(u,w)) = y * (T(T(y,x),x) \ T(z,K(u,w))). [hyper(227,a,13697,a,b,13703,a(flip)),flip(a)]. 13708 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(6555(a,2),13706(a,1,2))]. 13709 T(x * (T(T(x,y),y) \ z),K(u,w)) = x * (T(T(x,y),y) \ T(z,K(u,w))). [para(8219(a,1),13707(a,1,1))]. 13710 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(6703,a,13708,a),flip(a)]. 13711 T(x * (T(T(x,y),y) \ z),K(x,y)) = K(y,y \ x) * (z * K(y,y \ x)). [hyper(227,a,10950,a,b,13709,a)]. 13712 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(227,a,10951,a,b,13710,a(flip)),flip(a)]. 13713 K(x,x \ y) * (z * K(x,x \ y)) = K(x,y) * (z * K(x,y)). [hyper(227,a,9993,a(flip),b,13711,a(flip))]. 13714 K(x,x \ y) * ((z \ 1) * K(x,x \ y)) = (K(x,y) \ 1) \ (z \ K(x,y)). [hyper(227,a,3857,a,b,13713,a)]. 13715 K(x,x \ y) * (z \ K(x,x \ y)) = (K(x,y) \ 1) \ (z \ K(x,y)). [para(6514(a,1),13714(a,1,2))]. 13716 K(x,x \ y) * (z \ K(x,x \ y)) = K(x,y) * (z \ K(x,y)). [hyper(227,a,6474,a(flip),b,13715,a)]. 13717 K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = ((w / u) \ x) * T(1 / x,K(y,z)). [para(7506(a,1),13579(a,1,1))]. 13718 K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = (w / u) \ K(x \ K(y,z),x). [hyper(227,a,10526,a(flip),b,13717,a)]. 13719 K(x,K(y,z)) * (u * ((w \ x) * (1 / x))) = (w / u) \ K(x,x \ K(y,z)). [para(8583(a,1),13718(a,2,2))]. 13720 x * ((y \ z) * (K(z,K(u,w)) / z)) = (y / x) \ K(z,z \ K(u,w)). [hyper(227,a,13666,a(flip),b,13719,a(flip)),flip(a)]. 13721 (x / y) \ K(z,z \ K(u,w)) = y * (x \ K(z,z \ K(u,w))). [para(10532(a,1),13720(a,1,2)),flip(a)]. 13722 x * ((1 / y) \ K(z,z \ K(u,w))) = (x * y) * K(z,z \ K(u,w)). [hyper(6777,a,13721,a),flip(a)]. 13723 (x / T(y,K(z,z \ K(u,w)) \ x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. [hyper(227,a,6132,a(flip),b,13721,a)]. 13724 T(x / y,x) \ K(z,z \ K(u,w)) = T(y,x) * (x \ K(z,z \ K(u,w))). [para(1223(a,1),13721(a,1,1))]. 13725 ((((K(x,x \ K(y,z)) \ 1) \ 1) \ (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). [para(13721(a,1),12658(a,2,1))]. 13726 ((((K(x,x \ K(y,z)) \ 1) \ 1) \ u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). [para(13721(a,2),12658(a,2,2))]. 13727 K(x,x \ K(y,z)) * (u * (w \ K(x,x \ K(y,z)))) = u * (w \ 1). [para(13721(a,1),13681(a,1,2))]. 13728 (K(x,x \ K(y,z)) * u) * w = K(x,x \ K(y,z)) * (u * w). [hyper(3338,a,13722,a),flip(a)]. 13729 (x * y) * K(z,z \ K(u,w)) = x * (y * K(z,z \ K(u,w))). [para(6543(a,1),13722(a,1,2)),flip(a)]. 13730 (x * K(y,y \ K(z,u))) * w = x * (K(y,y \ K(z,u)) * w). [hyper(12583,a,13728,a),flip(a)]. 13731 T(x,y) * (y \ K(z,z \ K(u,w))) != v5 | (y \ x) * K(z,z \ K(u,w)) = v5. [para(13724(a,1),6778(a,1))]. 13732 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(227,a,12926,a(flip),b,13642,a(flip))]. 13734 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(6508(a,1),13732(a,1,1))]. 13736 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(9663(a,1),13734(a,1,2))]. 13737 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(464,a,13736,a),flip(a)]. 13738 (T(x,y) * (1 / ((z * u) * x))) \ (T(x,y) * (1 / (u * x))) = L(z,u,K(x,y \ (x \ 1))). [hyper(227,a,10934,a,b,13737,a(flip)),flip(a)]. 13739 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(13737(a,1),109(a,1,1))]. 13742 K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [para(7253(a,1),13712(a,1,2,1))]. 13743 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(13649(a,1),13742(a,1,2,1))]. 13744 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(6491,a,13743,a),flip(a)]. 13745 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(227,a,13569,a(flip),b,13744,a(flip)),flip(a)]. 13746 (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(13661(a,2),13653(a,1,1))]. 13747 ((x \ 1) * (1 / ((y * z) * (T(x,u) \ 1)))) \ (T(T(x,u) \ 1,u \ 1) * (1 / (z * (T(x,u) \ 1)))) = L(y,z,K(T(x,u) \ 1,(u \ 1) \ ((T(x,u) \ 1) \ 1))). [para(1570(a,1),13738(a,1,1,1))]. 13748 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(13661(a,2),13746(a,1,2))]. 13749 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [hyper(227,a,8182,a(flip),b,13748,a(flip)),flip(a)]. 13750 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(7399(a,1),13749(a,1,3))]. 13751 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(227,a,13652,a(flip),b,13750,a(flip))]. 13752 L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,K(v7,K(v8,v9)) * y,z). [hyper(227,a,13652,a,b,13751,a),flip(a)]. 13755 L(x,K(y,K(z,u)) * w,v5) != v6 | L(x,w,v5) = v6. [para(13752(a,1),360(a,1)),flip(b)]. 13757 L(x,K(y,T(z,u)),w) != v5 | L(x,K(y,z),w) = v5. [para(6230(a,1),13755(a,1,2))]. 13758 L(x,K(y,z) * u,w) != v5 | L(x,u * K(y,z),w) = v5. [para(7444(a,1),13755(a,1,2))]. 13759 L(x,K(y,z / u),w) != v5 | L(x,K(y,u \ z),w) = v5. [para(7946(a,1),13755(a,1,2))]. 13760 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). [para(38(a,1),13679(a,1,2,1,2))]. 13761 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(7486(a,1),13760(a,1,2))]. 13762 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(13599(a,1),13761(a,1,2))]. 13763 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(227,a,8237,a(flip),b,13762,a(flip)),flip(a)]. 13764 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(13697(a,2),13763(a,1,2))]. 13765 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(8289(a,1),13764(a,1,2,1))]. 13766 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(7196(a,1),13765(a,1,2))]. 13767 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(6443(a,1),13766(a,1,2))]. 13768 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(6860,a,13767,a)]. 13769 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(227,a,13745,a(flip),b,13768,a(flip)),flip(a)]. 13770 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(6490,a,13769,a),flip(a)]. 13771 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(13770(a,2),10835(a,2,2)),flip(a)]. 13773 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(227,a,11398,a(flip),b,13771,a(flip)),flip(a)]. 13774 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(13757,a,13773,a),flip(a)]. 13775 ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = L(x,K(y,z),1 / u). [hyper(227,a,6538,a,b,13774,a(flip)),flip(a)]. 13776 ((x * K(y,z)) * (1 / u)) / (K(y,z) / u) = L(x,K(y,z),u \ 1). [hyper(227,a,4567,a(flip),b,13775,a)]. 13777 ((x * K(y,z)) / (u * K(y,z))) * u = L(x,K(y,z),u \ 1). [hyper(227,a,9873,a(flip),b,13776,a(flip)),flip(a)]. 13778 ((K(x,y) / z) \ (K(x,y) / u)) * u = L(z,K(y,x),u \ 1). [para(5451(a,1),13777(a,1,1))]. 13779 ((x / (K(y,z) * u)) * K(y,z)) * u = L(x,K(z,y),u \ 1). [para(9861(a,1),13778(a,1,1))]. 13780 (K(x,y) * ((K(y,x) * z) / u)) * u = L(z,K(x,y),u \ 1). [para(9848(a,1),13779(a,1,1))]. 13781 L(x,K(y,z),u * K(z,y)) = L(x,K(z,y),u \ 1). [hyper(9766,a,13780,a)]. 13782 (K(x,y) / z) * (z / (u \ K(x,y))) = L(u,K(x,y),z \ 1). [hyper(227,a,10903,a(flip),b,13780,a(flip)),flip(a)]. 13783 L(x,K(y,z),(u \ 1) * K(z,y)) = L(x,K(z,y),u). [hyper(227,a,4581,a(flip),b,13781,a)]. 13784 L(x,K(y,z),u \ K(z,y)) = L(x,K(z,y),u). [hyper(227,a,12084,a(flip),b,13783,a(flip)),flip(a)]. 13785 L(x,K(y,z),y \ (u \ K(z,y))) = L(x,K(z,y),u * y). [para(7210(a,1),13784(a,1,3))]. 13786 x / (y \ K(z \ u,u \ z)) = (K(z \ u,u \ z) / x) \ y. [hyper(72,a,9148,a(flip),b,13782,a),flip(a)]. 13787 (1 / x) \ (y * (z * K(u \ w,w \ u))) = (K(u \ w,w \ u) / x) \ (y * z). [hyper(227,a,10523,a,b,13786,a(flip)),flip(a)]. 13788 (K(x \ y,y \ x) / T(z,u \ (w \ 1))) \ (w * u) = (w * (u * K(x \ y,y \ x))) * z. [hyper(227,a,13236,a(flip),b,13787,a(flip))]. 13789 ((x * y) * z) * K(u \ w,w \ u) = (x * (y * K(u \ w,w \ u))) * z. [hyper(227,a,10987,a(flip),b,13788,a(flip)),flip(a)]. 13790 (x * (y * K(z \ u,u \ z))) * w = (x * y) * (w * K(z \ u,u \ z)). [hyper(9304,a,13789,a)]. 13791 x * (1 / ((y * z) * (x * K(u \ w,w \ u)))) = K(x \ (u * w),(u * w) \ x) / (y * z). [para(13790(a,1),13202(a,1,2,2))]. 13792 K(x \ (y * z),(y * z) \ x) / (u * w) = x * ((K(z \ y,y \ z) / x) / (u * w)). [para(5111(a,1),13791(a,1,2)),flip(a)]. 13793 K(x \ (y * z),(y * z) \ x) / (u * w) = x * (K(z \ y,y \ z) / ((u * w) * x)). [para(9320(a,1),13792(a,2,2))]. 13794 x * (K(y \ z,z \ y) / ((u * y) * x)) = y \ (K(z \ x,x \ z) / u). [hyper(227,a,13380,a(flip),b,13793,a(flip))]. 13795 (x * (K(y \ z,z \ y) / ((u * w) * x))) * u = K((x / z) \ y,y \ (x / z)) / w. [para(13793(a,1),13228(a,1,1))]. 13796 x * (K(y \ z,z \ y) / ((u \ (u * w)) * x)) = K((x / y) \ z,z \ (x / y)) / w. [hyper(227,a,13393,a(flip),b,13795,a(flip)),flip(a)]. 13797 K((x / y) \ z,z \ (x / y)) / u = x * (K(y \ z,z \ y) / (u * x)). [para(13(a,1),13796(a,1,2,2,1)),flip(a)]. 13799 K(x \ (y * z),(y * z) \ x) / u = x * (K(y \ z,z \ y) / (u * x)). [para(13227(a,1),13797(a,1,1))]. 13800 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (K(z \ (y / x),(y / x) \ z) / (u * x)). [hyper(227,a,13220,a(flip),b,13799,a(flip)),flip(a)]. 13801 (x / T(y,K(z \ K(u,w),z) * x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. [para(6443(a,1),13723(a,1,1,2,2))]. 13802 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (K(z \ (x * y),(x * y) \ z) / (u * x)). [para(13215(a,1),13800(a,2,2,1))]. 13803 (x / T(y,K(z,z \ K(u,w)) * x)) \ K(z,z \ K(u,w)) = ((1 / K(z,z \ K(u,w))) * x) \ y. [para(8583(a,1),13801(a,1,1,2,2,1))]. 13804 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (z * (K(x \ y,y \ x) / ((u * x) * z))). [para(13799(a,1),13802(a,2,2))]. 13805 T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 / K(y,y \ K(z,u))) * w) \ x. [hyper(227,a,13721,a(flip),b,13803,a(flip)),flip(a)]. 13806 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = x * (x \ (K(y \ z,z \ y) / u)). [para(13794(a,1),13804(a,2,2))]. 13807 (x \ ((y / x) \ z)) * ((x \ ((x / z) * y)) / u) = K(y \ z,z \ y) / u. [hyper(227,a,14,a(flip),b,13806,a)]. 13809 K(x \ ((x / y) * z),x \ ((z / x) \ y)) / u = K(z \ y,y \ z) / u. [hyper(227,a,6845,a,b,13807,a(flip)),flip(a)]. 13811 K(x \ y,y \ x) / (z \ ((z / y) * x)) = T((z \ ((z / y) * x)) \ 1,1). [hyper(227,a,11728,a(flip),b,13809,a(flip))]. 13813 (K(x \ y,y \ x) / ((z / y) * x)) * z = T((z \ ((z / y) * x)) \ 1,1). [hyper(227,a,9302,a(flip),b,13811,a(flip)),flip(a)]. 13814 (x \ (y * (1 / ((z / y) * y)))) * z = T((z \ ((z / y) * x)) \ 1,1). [para(11682(a,1),13813(a,1,1))]. 13815 T((x \ ((x / y) * z)) \ 1,1) = (z \ (y * (1 / x))) * x. [para(16(a,1),13814(a,1,1,2,2,2)),flip(a)]. 13816 T(x \ ((y / x) \ z),1) = (y \ (z * (1 / x))) * x. [para(1592(a,1),13815(a,1,1))]. 13817 (x \ (y * (1 / z))) * z = z \ ((x / z) \ y). [hyper(152,a,13816,a)]. 13818 x \ ((y \ (z * (1 / x))) \ 1) = (x \ ((y / x) \ z)) \ 1. [para(13817(a,1),123(a,1,1)),flip(a)]. 13819 x \ (((1 / y) / x) \ (1 / z)) = (y / ((1 / x) \ z)) * x. [para(342(a,1),13817(a,1,1)),flip(a)]. 13820 x * (x \ ((y / x) \ (y / z))) = y \ ((y * x) / z). [para(13817(a,1),13378(a,1,2))]. 13821 (x / y) \ (x / z) = x \ ((x * y) / z). [hyper(205,a,13820,a),flip(a)]. 13823 x \ ((x * (y * z)) / z) = R(y,z,x \ 1). [hyper(227,a,1834,a(flip),b,13821,a(flip))]. 13824 L(R(x,1 / y,z),1 / y,1 / y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). [para(13821(a,1),1742(a,2,1,1))]. 13825 x \ ((x * (x \ ((x * y) * z))) / u) = ((x / z) / y) \ (x / u). [para(1882(a,1),13821(a,1,1)),flip(a)]. 13826 x \ (y / (z \ (x \ y))) = R(z,y,x \ 1). [para(1175(a,1),13823(a,1,2))]. 13827 (x * ((x \ y) / z)) * z = R(y,x,z \ 1). [hyper(227,a,13373,a(flip),b,13826,a(flip)),flip(a)]. 13828 R(x,y * (1 / (z * y)),u \ 1) = u \ ((u * (1 / (z / x))) / (x * (1 / (z * x)))). [para(13161(a,2),13826(a,1,2)),flip(a)]. 13829 (x \ 1) \ ((x \ y) * (y \ z)) = R(z,y,(x \ 1) \ 1). [para(13415(a,1),13826(a,1,2))]. 13830 (x * y) * (y \ (x \ z)) = R(z,x,(y \ 1) \ 1). [hyper(227,a,13410,a(flip),b,13829,a(flip)),flip(a)]. 13831 R(x,y,(z \ 1) \ 1) = R(1 / x,y,z) \ 1. [hyper(227,a,1630,a(flip),b,13830,a(flip))]. 13832 R(1 / x,y,z) \ 1 = R(x,y,z). [hyper(10443,a,13831,a),flip(a)]. 13833 R(1 / x,y,z) \ 1 != u | R(x,y,z) = u. [para(13831(a,1),10443(a,1))]. 13834 (x * (y \ 1)) \ (x * (y \ z)) = R(z,y,y \ (x \ 1)). [hyper(227,a,13419,a(flip),b,13832,a(flip)),flip(a)]. 13835 R(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),u \ 1,w). [hyper(12722,a,13834,a),flip(a)]. 13836 ((x \ ((y / x) \ z)) \ 1) * (z * (x \ ((y \ (z * (1 / x))) \ 1))) = (z \ (y * (y / x))) * x. [para(13818(a,1),12646(a,1,1))]. 13837 x \ ((1 / (x * y)) \ (1 / z)) = (y / ((1 / x) \ z)) * x. [para(325(a,1),13819(a,1,2,1))]. 13838 (x / ((1 / y) \ z)) * y = y \ ((y * x) / z). [para(339(a,1),13837(a,1,2)),flip(a)]. 13839 L(x,y,y) * ((y \ ((y * z) / x)) * L(x,y,y)) = y \ ((y * L(x,y,y)) * z). [para(13838(a,1),13371(a,1,2,1))]. 13840 ((x / y) / z) \ (x / u) = x \ (((x * z) * y) / u). [para(14(a,1),13825(a,1,2,1)),flip(a)]. 13841 x \ (((x * y) * z) / (y * z)) = a(y,z,x \ 1) \ 1. [hyper(227,a,12982,a(flip),b,13840,a(flip))]. 13843 a(x,y,z \ 1) \ 1 = z \ R(z,x,y). [para(30(a,2),13841(a,1,2)),flip(a)]. 13844 a(x \ 1,y,z \ 1) = z \ R(z,x,y). [hyper(13461,a,13843,a)]. 13845 a(x \ 1,y,(1 / z) \ 1) \ z = R(1 / z,x,y) \ 1. [para(13844(a,2),279(a,1,1))]. 13846 R(1 / x,y,z) \ 1 = a(y \ 1,z,x) \ x. [para(65(a,1),13845(a,1,1,3)),flip(a)]. 13847 R(1 / x,y,z) \ 1 = a(y,z,x) * x. [hyper(227,a,13452,a(flip),b,13846,a)]. 13848 R(1 / x,y,z) \ 1 = x * a(y,z,x). [hyper(227,a,12811,a(flip),b,13847,a)]. 13849 R(x,y,z) = x * a(y,z,x). [hyper(13833,a,13848,a)]. 13850 x \ ((x * L(y,x,x)) * z) = y * ((x \ ((x * z) / y)) * y). [hyper(227,a,10535,a(flip),b,13839,a(flip))]. 13852 (x / y) \ L(x * z,y,y) = x \ ((x * L(y,x,x)) * z). [hyper(227,a,9319,a(flip),b,13850,a),flip(a)]. 13853 (x / y) \ L(x * z,y,y) = x \ (((1 / x) \ y) * z). [para(1368(a,1),13852(a,2,2,1))]. 13854 (x / y) \ L(x * z,y,y) = (y * (z / x)) * x. [hyper(227,a,918,a(flip),b,13853,a)]. 13855 L(x,y \ 1,L(z,y,y)) = (y * ((y \ x) / z)) * z. [hyper(10711,a,13854,a)]. 13856 L(x,y \ 1,L(z,y,y)) = R(x,y,z \ 1). [hyper(227,a,13827,a(flip),b,13855,a)]. 13857 R(x,y,z \ 1) = L(x,y \ 1,z). [hyper(227,a,12081,a(flip),b,13856,a(flip))]. 13858 L(R(x,y,z \ 1),z / y,K(z,u)) = L(x,y \ 1,L(T(z,u),y,y)). [para(13856(a,1),11453(a,1,1))]. 13859 R(x,y,z) = L(x,y \ 1,z \ 1). [hyper(10443,a,13857,a)]. 13863 L(x,y \ 1,z \ 1) != u | R(x,y,z) = u. [para(13857(a,1),10443(a,1))]. 13866 L(R(x,y,z \ 1),z / y,K(z,u)) = R(x,y,T(z,u) \ 1). [hyper(227,a,13856,a(flip),b,13858,a)]. 13867 L(L(x,y \ 1,z),z / y,K(z,u)) = R(x,y,T(z,u) \ 1). [para(13857(a,1),13866(a,1,1))]. 13869 L(R(x,y \ 1,z),1 / y,1 / y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). [para(10773(a,1),13824(a,1,1))]. 13870 L(R(x,y \ 1,z),y,y) = ((1 \ ((1 * x) / y)) * z) / ((1 / y) * z). [hyper(1471,a,13869,a)]. 13871 L(R(x,y \ 1,z),y,y) = ((1 \ (x / y)) * z) / ((1 / y) * z). [para(11(a,1),13870(a,2,1,1,2,1))]. 13872 L(R(x,y \ 1,z),y,y) = ((x / y) * z) / ((1 / y) * z). [para(50(a,1),13871(a,2,1,1))]. 13873 L(R(x,y \ 1,z),y,y) = z / ((1 / y) * ((x / y) \ z)). [hyper(227,a,1182,a(flip),b,13872,a)]. 13874 L(R(x,y \ 1,z),y,y) = z / ((y * x) \ (y * z)). [para(13420(a,1),13873(a,2,2))]. 13875 L(R(x,y \ 1,z),y,y) = L(x,y,z \ (y \ 1)). [hyper(227,a,4605,a(flip),b,13874,a)]. 13876 L(x,y,(y / z) \ (y \ 1)) = L(x,y,z). [hyper(13493,a,13875,a),flip(a)]. 13877 L(x,y,z / (y * y)) = L(x,y,z). [para(2109(a,1),13876(a,1,3))]. 13878 L(x,y,z \ 1) = L(x,z,y). [hyper(9720,a,13877,a)]. 13879 R(x,y,z) = L(x,z,y \ 1). [hyper(13863,a,13878,a)]. 13883 L(x,y,y \ z) = L(x,y,y * z). [hyper(227,a,9691,a(flip),b,13878,a(flip)),flip(a)]. 13884 L(x \ y,z,x) = (x \ z) / (y \ z). [hyper(227,a,4594,a(flip),b,13878,a(flip))]. 13885 L(x,y \ 1,z) = L(x,z,y). [hyper(227,a,4581,a(flip),b,13878,a(flip))]. 13886 L(x,1 / y,z) = L(x,z,y). [para(65(a,1),13878(a,1,3)),flip(a)]. 13888 R(x,y,z \ 1) = R(x,z,y). [hyper(227,a,13859,a,b,13879,a)]. 13889 R(x,y,z) = L(x,y,z). [hyper(227,a,13878,a(flip),b,13879,a)]. 13890 L(x,y,z) = R(x,y,z). [hyper(227,a,13879,a,b,13878,a(flip))]. 13892 L(x,y,K(y,z) * u) = R(x,y,u). [hyper(9659,a,13889,a),flip(a)]. 13893 L((x / y) / z,z,y) = x / (z * y). [hyper(595,a,13889,a),flip(a)]. 13894 L(x,y,z) = x * a(y,z,x). [hyper(227,a,13849,a(flip),b,13889,a(flip))]. 13895 L(x,y,z) = z / (y * ((x * y) \ z)). [hyper(227,a,1332,a(flip),b,13889,a(flip))]. 13896 a(x,y,z) = z \ L(z,x,y). [hyper(72,a,13889,a(flip),b,13849,a(flip)),flip(a)]. 13898 L(x,y,z) * (y * z) = (x * y) * z. [para(13889(a,1),109(a,1,1))]. 13899 L(x,y,z) * (z * y) = (x * y) * T(z,y). [para(13889(a,1),9666(a,1,1))]. 13902 R(x,y,z) = L(x,z \ 1,y). [hyper(13863,a,13885,a)]. 13903 R(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),w,u). [hyper(227,a,13835,a,b,13885,a(flip)),flip(a)]. 13904 L(x,(y \ z) \ z,u) = L(x,u \ 1,T(y,z)). [hyper(227,a,12088,a(flip),b,13885,a(flip))]. 13905 L(x,y,z \ 1) != u | L(x,z,y) = u. [para(13885(a,1),10709(a,1))]. 13906 L(x,L(y \ 1,z,u),w) = L(x,w,L(y,z,u)). [para(13064(a,2),13885(a,1,2))]. 13912 R(x,y \ 1,z) = R(x,z,y). [hyper(10443,a,13888,a),flip(a)]. 13913 a(x \ 1,y,z) = a(z,y,x). [hyper(13450,a,13894,a)]. 13914 L(x,y,z) = a(y,z,x) * x. [hyper(227,a,12811,a,b,13894,a)]. 13915 a(x,y,z \ 1) = a(z,y,x). [hyper(227,a,13438,a,b,13896,a)]. 13916 a(x,y,z) \ 1 = a(z,y,x). [hyper(227,a,13433,a,b,13896,a),flip(a)]. 13917 a(x,y,z) * z != u | L(z,x,y) = u. [para(13896(a,2),9210(a,1,1))]. 13919 R(x,y,z) = y / ((x \ (y / z)) * z). [hyper(227,a,9254,a,b,13912,a(flip))]. 13921 a(x \ 1,y,z) = a(x,z,y). [hyper(13478,a,13913,a)]. 13923 a(x,y,z) = x \ L(x,y,z). [hyper(227,a,13481,a(flip),b,13916,a(flip))]. 13924 L(x,y,z) = x * a(x,y,z). [para(13916(a,1),13480(a,2,2))]. 13925 a(x,y,z) = a(z,x,y). [hyper(227,a,13913,a(flip),b,13921,a(flip)),flip(a)]. 13926 a(x,y,z) \ 1 = a(x,z,y). [hyper(227,a,13448,a(flip),b,13921,a(flip)),flip(a)]. 13927 x / a(y,z,u) = x * a(y,u,z). [para(13921(a,1),13445(a,1,2))]. 13928 L(x,y,z) = a(x,y,z) * x. [para(13921(a,1),13453(a,2,1))]. 13929 a(x,y,T(z,u)) = T(a(z,x,y),u). [hyper(227,a,13499,a(flip),b,13925,a)]. 13930 a(x,y,z) = L(z,y,x) \ z. [hyper(227,a,13428,a(flip),b,13925,a)]. 13931 a(x,y,K(z,u)) = a(z,x,K(y,u)). [hyper(227,a,12876,a(flip),b,13925,a)]. 13932 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(227,a,12874,a(flip),b,13925,a)]. 13933 a(x,y,z \ 1) = a(x,z,y). [hyper(227,a,13915,a,b,13925,a(flip)),flip(a)]. 13934 a(x,y,z) * 1 = a(z,x,y). [hyper(227,a,12,a,b,13925,a(flip)),flip(a)]. 13935 a(x,y,z) * x != u | L(x,y,z) = u. [para(13923(a,2),9210(a,1,1))]. 13937 (x * y) * a(y,z,u) = x * L(y,z,u). [para(13923(a,2),13455(a,1,2))]. 13938 L(x,y,z) * (x \ u) = a(x,y,z) * u. [para(13923(a,2),13459(a,1,1)),flip(a)]. 13939 a(x,y,z) = x \ R(x,y,z). [para(13889(a,2),13923(a,2,2))]. 13940 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(227,a,12889,a(flip),b,13924,a)]. 13941 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(12917,a,13924,a(flip))]. 13942 L(T(a(x,y,z),x \ (u \ 1)),x,u) = (u * L(x,y,z)) * (x \ (u \ 1)). [para(13924(a,2),2371(a,1,1,2)),flip(a)]. 13943 L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(13924(a,2),12890(a,1))]. 13944 a(x,y,z) \ 1 != u | a(x,z,y) = u. [para(13926(a,1),11598(a,1,1))]. 13945 L(x,y,z) != u * x | a(x,y,z) = u. [para(13928(a,2),20(a,1))]. 13949 a(x,y,(z \ 1) * u) = a(x,u \ z,y). [hyper(10929,a,13933,a)]. 13950 a(x,y,z) != u | a(y,z,x) = u. [para(13934(a,1),81(a,1)),flip(b)]. 13962 T(a(x,y,z),u) != w | a(y,z,T(x,u)) = w. [para(13499(a,1),13950(a,1))]. 13964 a(x \ 1,y,z) != u | a(z,y,x) = u. [para(13921(a,2),13950(a,1))]. 13965 L(x,y,z / y) = L(x,y,y * z). [hyper(11083,a,13883,a)]. 13966 (((x * y) / (x * z)) * x) * z = L((x \ 1) \ y,x,x * z). [hyper(227,a,13374,a,b,13883,a(flip)),flip(a)]. 13967 L(x,y * z,u \ (z \ (y \ 1))) = L(x,y * z,(y * z) * (u \ 1)). [hyper(227,a,11676,a(flip),b,13883,a(flip)),flip(a)]. 13968 L(x,y,K(y,z) * u) = L(x,y,u). [hyper(227,a,13890,a,b,13892,a)]. 13969 ((x * y) * z) * a(x,z,y) != u | x * (y * z) = u. [para(13927(a,1),294(a,1))]. 13970 a(x,y,T(z,u)) = T(a(x,y,z),u). [para(13925(a,2),13929(a,2,1))]. 13971 a(x,K(y,z),u) = a(x,y,K(u,z)). [hyper(227,a,13925,a,b,13931,a),flip(a)]. 13972 a(x,y,K(x \ z,u)) = a(x,u,K(y,z)). [hyper(12900,a,13932,a),flip(a)]. 13974 x * a(y,z,K(u,x)) = L(x,y,K(u,z)). [para(13932(a,2),13924(a,2,2)),flip(a)]. 13975 L(x,y,T(y,z)) = L(x,y,y). [para(5004(a,2),13968(a,1,3))]. 13976 L(x,y,T(z,y) \ u) = L(x,y,z \ u). [para(6421(a,1),13968(a,1,3))]. 13978 L(x,y / z,y / z) = L(x,y / z,z \ y). [para(115(a,1),13975(a,1,3)),flip(a)]. 13979 a(x,y,T(z,u)) = a(z,x,T(y,u)). [hyper(227,a,13929,a,b,13970,a),flip(a)]. 13980 a(x,T(y,z),u) = a(x,y,T(u,z)). [hyper(227,a,13925,a,b,13979,a),flip(a)]. 13981 (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,y / x,x \ 1). [para(3379(a,1),13884(a,2,1)),flip(a)]. 13986 L(((x / y) / z) / u,u,T(z,y)) = (x / T(y,z)) / (u * T(z,y)). [para(6629(a,1),13893(a,1,1,1))]. 13987 L(x,y,z) \ z = y * ((x * y) \ z). [para(13895(a,2),65(a,1,1))]. 13988 (x * y) * z != u * (y * z) | L(x,y,z) = u. [para(13898(a,1),20(a,1))]. 13989 L(x,L(y,z,u),z * u) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). [para(13898(a,1),13898(a,1,2))]. 13990 L(x,y,z \ (u \ 1)) != w | L(x,u * z,y) = w. [para(123(a,1),13905(a,1,3))]. 13992 L(x,y,y \ z) != u | L(x,y,y * z) = u. [para(9691(a,1),13905(a,1))]. 13994 R(x,y,z) != u | L(x,y,z) = u. [para(13879(a,2),13905(a,1))]. 13995 L(x,y \ 1,z) != u | L(x,z,y) = u. [para(13902(a,1),13994(a,1))]. 13996 x / ((y \ (x / z)) * z) != u | L(y,x,z) = u. [para(13919(a,1),13994(a,1))]. 13999 R(x,y,z \ 1) != u | L(x,y \ 1,z) = u. [para(13879(a,2),13995(a,1))]. 14000 ((x * y) / a(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,z,u)). [para(13937(a,1),781(a,2,2))]. 14002 a(x,y,z) * (x * u) = L(x,y,z) * u. [para(13(a,1),13938(a,1,2)),flip(a)]. 14003 a(x,T(y,y \ z),u) = a(x,u,(z \ 1) * (y \ z)). [para(114(a,2),13949(a,2,2)),flip(a)]. 14004 a(x,y,(z \ 1) * u) \ 1 = a(x,y,u \ z). [para(13949(a,2),13926(a,1,1))]. 14005 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(227,a,13941,a(flip),b,13974,a(flip))]. 14006 L(x,K(y,z),u) = L(x,z,K(y,u)). [hyper(227,a,13436,a(flip),b,13974,a(flip)),flip(a)]. 14007 L(x,y,K(z,z \ u)) = L(x,z,K(u,y)). [hyper(227,a,12079,a,b,14005,a),flip(a)]. 14008 L(x,y,K(z * u,z)) = L(x,u,K(z,y)). [hyper(227,a,12078,a,b,14005,a),flip(a)]. 14012 L(x,K(y,z \ u),w) = L(x,u / z,K(y,w)). [hyper(13759,a,14006,a)]. 14014 L(x,y,K(z,z \ (u \ K(y,z)))) = L(x,K(y,z),u * z). [hyper(227,a,13785,a(flip),b,14006,a(flip))]. 14016 L(L(x,y,K(z,u)),K(y,z),u) = x. [para(14006(a,1),13660(a,1,1))]. 14017 L(x,y,K(z,u \ 1)) != w | L(x,u,K(z,y)) = w. [para(14006(a,1),13905(a,1))]. 14018 L(x,y,T(T(z,u),y) \ (u \ 1)) = L(x,y,u \ (z \ 1)). [para(446(a,1),13976(a,2,3))]. 14021 (a(x,y,z) * x) * u = a(x,y,z) * (x * u). [para(13928(a,1),14002(a,2,1)),flip(a)]. 14022 L(x,y \ z,K(u,y)) = L(x,y,K(z,u)). [hyper(227,a,14005,a(flip),b,14007,a(flip)),flip(a)]. 14023 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [hyper(227,a,14005,a,b,14008,a(flip)),flip(a)]. 14025 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(9679,a,14023,a),flip(a)]. 14026 L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(14023(a,1),9679(a,1))]. 14028 T(a(x,y,z),u) != w | a(x,y,T(z,u)) = w. [para(13925(a,2),13962(a,1,1))]. 14031 L(L(x,y \ 1,z),z / y,K(z,u)) != w | L(x,y \ 1,T(z,u)) = w. [para(13867(a,2),13999(a,1))]. 14032 L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). [hyper(227,a,14005,a(flip),b,14025,a(flip)),flip(a)]. 14033 L(L(x,y,T(z,u)),K(y,z),u) = L(x,y,z). [para(14025(a,1),14016(a,1,1))]. 14034 a(x,y,T(z,u)) != w | a(z,x,T(y,u)) = w. [para(13929(a,2),14028(a,1))]. 14035 L((x / y) / z,z,T(y,u)) = L(x / (z * y),u,K(z,y)). [para(13893(a,1),14032(a,1,1)),flip(a)]. 14036 L(L(x,y,T(z,u)),z,K(y,u)) = L(x,y,z). [hyper(227,a,14006,a(flip),b,14033,a(flip)),flip(a)]. 14037 L(L(x,y,z * u),u * z,K(y,z \ 1)) = L(x,y,u * z). [para(4927(a,1),14036(a,1,1))]. 14038 L(x,(y \ z) \ z,u) = L(x,T(y,z),u). [hyper(227,a,13885,a(flip),b,13904,a)]. 14039 L(x,T(y,y * z),u) = L(x,T(y,z),u). [hyper(227,a,10718,a,b,14038,a(flip)),flip(a)]. 14040 L(x,T(y,y * z),u) \ x = a(x,u,T(y,z)). [para(14039(a,2),13428(a,2,1)),flip(a)]. 14041 L(x,y / z,z \ y) = L(x,z \ y,z \ y). [hyper(227,a,9809,a(flip),b,13978,a(flip))]. 14042 a(x,(y \ 1) * z,u) = a(x,u,z \ y). [hyper(13944,a,14004,a)]. 14043 a(x,y,z \ (1 / u)) = a(x,u * z,y). [para(65(a,1),14042(a,1,2,1)),flip(a)]. 14044 a(x,((y \ z) \ 1) * z,u) = a(x,u,T(y,z) \ 1). [para(655(a,2),14042(a,2,3))]. 14045 L(x,y / z,K(u,w)) = L(x,z \ y,K(u,w)). [hyper(227,a,14006,a(flip),b,14012,a(flip))]. 14046 L(a(x,y,z),x,u) = a(x,y,z). [hyper(13988,a,14021,a)]. 14049 a(x,y,T(z,z * u)) = a(x,y,T(z,u)). [hyper(13437,a,14040,a)]. 14050 a(x,y,T(z,z \ u)) = a(x,y,T(z,u)). [para(14(a,1),14049(a,1,3,2)),flip(a)]. 14051 a(x,y,T(z,x \ u)) = a(y,z,T(x,u)). [hyper(14034,a,14050,a)]. 14052 a(x,y,T(z,x \ u)) = a(x,y,T(z,u)). [hyper(227,a,13979,a(flip),b,14051,a)]. 14054 (x * (y \ (y \ x))) * ((x \ y) * ((y / x) * z)) = L(z,x \ y,x \ y). [hyper(227,a,11165,a,b,14041,a(flip)),flip(a)]. 14055 L(x,y / z,K(u,z)) = L(x,z,K(y,u)). [hyper(227,a,14022,a(flip),b,14045,a)]. 14060 L(x,y,K(z * u,z)) != w | L(x,u,K(z,y)) = w. [para(5335(a,2),14017(a,1,3))]. 14061 L(x,y,K(z,u / w)) != v5 | L(x,w / u,K(z,y)) = v5. [para(6016(a,1),14017(a,1,3))]. 14063 L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. [para(12078(a,1),14060(a,1))]. 14064 T(x,a(y,z,u)) != w | L(x,u,K(y,z)) = w. [para(13940(a,1),14063(a,1))]. 14065 L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w. [para(14005(a,1),14063(a,1))]. 14066 L(x * a(y,z,u),y,K(u,z)) = a(y,z,u) * x. [hyper(14064,a,12918,a)]. 14067 L(x,K(y,z),u) != w | L(x,z,K(y,u)) = w. [para(13443(a,2),14064(a,1))]. 14069 L(x * a(y,z,u),y,K(u,z)) != x * w | T(a(y,z,u),x) = w. [para(14066(a,2),167(a,2)),flip(a)]. 14070 L(a(x,y,z),u,u \ (w \ 1)) = L(a(x,y,z),w,u). [hyper(13994,a,13903,a)]. 14071 a(x,T(y,y \ z),u) = a(x,(y \ z) \ z,u). [hyper(227,a,13949,a(flip),b,14003,a)]. 14072 a(x,((y \ z) \ 1) * z,u) = a(x,T(y,z),u). [hyper(227,a,13933,a(flip),b,14044,a)]. 14073 a(x,(y \ z) \ z,u) = a(x,T(y,z),u). [hyper(13454,a,14072,a)]. 14074 a(x,T(y,y \ z),u) = a(x,T(y,z),u). [hyper(227,a,14071,a,b,14073,a(flip)),flip(a)]. 14075 a(x,y,T(z,y \ u)) = a(x,T(y,u),z). [hyper(227,a,13980,a(flip),b,14074,a(flip)),flip(a)]. 14076 a(x,y,T(z,y \ u)) = a(x,y,T(z,u)). [hyper(227,a,13980,a(flip),b,14075,a)]. 14077 L(a(x,y,z),u,u * (w \ 1)) = L(a(x,y,z),w,u). [hyper(13992,a,14070,a)]. 14078 L(a(x,y,z),u,w \ u) = L(a(x,y,z),w,u). [hyper(227,a,11077,a(flip),b,14077,a(flip)),flip(a)]. 14079 L(x,y,K(z,z \ (u \ 1))) = L(x,K(y,z),u * z). [para(8088(a,1),14014(a,1,3))]. 14081 L(x,y,z \ (T(u,y) \ 1)) = L(x,y,z \ (u \ 1)). [para(454(a,1),14018(a,1,3))]. 14082 L(x,T(y,z) * u,z) = L(x,z,u \ (y \ 1)). [hyper(13990,a,14081,a)]. 14083 L(x,T(y,z) * u,z) != w | L(x,y * u,z) = w. [para(14082(a,2),13990(a,1))]. 14084 L(L(x,y,z * u),z,K(y,u * z)) = L(x,y,u * z). [hyper(14017,a,14037,a)]. 14085 L((x / y) / (z * u),y,K(z,u)) = (x / T(y,u)) / (z * T(u,y)). [hyper(227,a,14035,a(flip),b,13986,a(flip)),flip(a)]. 14086 L(x,y * z,u \ (z \ (y \ 1))) = L(x,y * z,u \ (y * z)). [hyper(227,a,11077,a(flip),b,13967,a)]. 14087 L(a(x,y,z),x * (y * z),u \ (x * (y * z))) = u / (((x * y) * z) \ ((x * (y * z)) * u)). [hyper(227,a,5733,a(flip),b,14086,a(flip))]. 14088 ((x * y) * a(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,u,z)). [para(13927(a,1),14000(a,1,1))]. 14089 L(L(x,y \ 1,z),y \ z,K(z,u)) != w | L(x,y \ 1,T(z,u)) = w. [para(14045(a,1),14031(a,1))]. 14090 (x * L(y,z,u)) * ((x * y) \ 1) = (x * y) / (x * L(y,u,z)). [para(13937(a,1),14088(a,1,1))]. 14091 (x * L(y,z,u)) * (y \ (x \ 1)) = (x * y) / (x * L(y,u,z)). [para(123(a,1),14090(a,1,2))]. 14092 L(a(x,y,T(z,x \ (u \ 1))),x,u) = (u * L(x,y,z)) * (x \ (u \ 1)). [para(13970(a,2),13942(a,1,1))]. 14093 (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,x,y / x). [hyper(227,a,13878,a(flip),b,13981,a)]. 14094 (x * (y * (1 / x))) / (z \ (y / x)) = L((x \ 1) \ z,x,x * y). [hyper(227,a,13965,a(flip),b,14093,a)]. 14095 (x * ((1 / (x / y)) \ ((1 / (x / y)) \ x))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(3436(a,2),14054(a,1,2,1))]. 14096 (x * L(y,z,u)) * (y \ (x \ 1)) = a(y,z,T(u,y \ (x \ 1))). [hyper(227,a,14046,a(flip),b,14092,a(flip))]. 14098 (x * L(y,z,u)) * (y \ (x \ 1)) = a(y,z,T(u,x \ 1)). [hyper(227,a,14052,a(flip),b,14096,a)]. 14099 (x * y) / (x * L(y,z,u)) = a(y,u,T(z,x \ 1)). [hyper(227,a,14091,a(flip),b,14098,a(flip)),flip(a)]. 14100 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),K(u,w),T(z,x \ 1)). [para(14085(a,1),14099(a,1,2,2))]. 14101 R(x,y * (1 / (z * y)),u \ 1) = u \ (z \ ((z * u) * x)). [para(13110(a,1),13828(a,2,2))]. 14102 R(x,y * (1 / (z * y)),u \ 1) != w | ((x / (z * u)) * z) * u = w. [para(14101(a,2),13370(a,1))]. 14103 L(x,(y * (1 / (z * y))) \ 1,u) = ((x / (z * u)) * z) * u. [hyper(14102,a,13857,a),flip(a)]. 14104 L(x,(1 / (y * z)) \ (z \ 1),u) = ((x / (y * u)) * y) * u. [para(123(a,1),14103(a,1,2))]. 14105 L(x,K(y,y \ 1) * z,u) = ((x / (z * u)) * z) * u. [para(3650(a,1),14104(a,1,2))]. 14106 L(x,y,z) = ((x / (y * z)) * y) * z. [hyper(10708,a,14105,a)]. 14107 L((x \ 1) \ y,x,x * z) = L(x * y,x,z). [hyper(227,a,13966,a(flip),b,14106,a),flip(a)]. 14108 L(x,y,z) = ((x / (z * y)) * y) * T(z,y). [hyper(10758,a,14106,a(flip)),flip(a)]. 14109 ((x \ (1 / (y * z))) * y) * z = L(x \ 1,y,z). [para(318(a,1),14106(a,2,1,1)),flip(a)]. 14110 L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,1 / (y * z)) * y) * z. [para(1206(a,1),14106(a,2,1,1))]. 14111 L(x / (y * z),z,y) = L(x,z,y) / (y * z). [hyper(73,a,14108,a,b,13899,a),flip(a)]. 14112 (x * (y * (1 / x))) / (z \ (y / x)) = L(x * z,x,y). [hyper(227,a,14094,a,b,14107,a(flip)),flip(a)]. 14113 L(x / (y * z),z,y) = (x / z) / y. [hyper(227,a,10848,a(flip),b,14111,a)]. 14114 L(x / (y * z),z,y) != u | (x / z) / y = u. [para(14111(a,2),10852(a,1))]. 14115 L(x / (y * z),T(y,z),z) = (x / T(y,z)) / z. [para(113(a,1),14113(a,1,1,2))]. 14116 ((x \ (1 / (y * z))) * (y * z)) \ L(x \ 1,y,z) = a(x \ (1 / (y * z)),y,z). [hyper(72,a,14109,a(flip),b,89,a)]. 14117 L(x / (y * z),y,z) = (x / T(y,z)) / z. [hyper(11102,a,14115,a)]. 14118 L(x * ((y / (z * u)) / x),z,u) = x * (((y / T(z,u)) / u) / x). [para(14117(a,1),9619(a,2,2,1))]. 14119 T(x \ 1,y \ 1) \ ((y * (x \ 1)) * z) = L(y * z,y,x). [hyper(227,a,4916,a,b,14112,a(flip)),flip(a)]. 14120 T(x,y \ 1) \ ((y * x) * z) = L(y * z,y,x \ 1). [hyper(227,a,12774,a(flip),b,14119,a(flip)),flip(a)]. 14121 T(x,y \ 1) \ ((y * x) * z) = L(y * z,x,y). [hyper(227,a,13878,a(flip),b,14120,a)]. 14122 L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,(y * z) \ 1) * y) * z. [para(1539(a,1),14110(a,2,1,1))]. 14123 L(((1 / x) * (1 / (y * z))) \ 1,y,z) = (T(x,z \ (y \ 1)) * y) * z. [para(123(a,1),14122(a,2,1,1,2))]. 14124 (T(x,y \ (z \ 1)) * z) * y = L((1 / (z * y)) \ x,z,y). [para(250(a,1),14123(a,1,1)),flip(a)]. 14125 a(x \ (1 / (y * z)),y,z) = (x \ 1) \ L(x \ 1,y,z). [para(259(a,1),14116(a,1,1)),flip(a)]. 14126 a(x \ (1 / (y * z)),y,z) = a(x,z,y). [hyper(227,a,13438,a,b,14125,a)]. 14128 a(x,y,z \ (1 / (x * y))) = a(z,y,x). [hyper(13950,a,14126,a)]. 14129 a(x,(x * y) * z,y) = a(z,y,x). [hyper(227,a,14043,a(flip),b,14128,a(flip)),flip(a)]. 14130 ((x \ ((y / x) \ z)) \ 1) * (z * ((x \ ((y / x) \ z)) \ 1)) = (z \ (y * (y / x))) * x. [para(13818(a,1),13836(a,1,2,2))]. 14131 (x \ ((y / x) \ z)) \ (z / (x \ ((y / x) \ z))) = (z \ (y * (y / x))) * x. [hyper(1418,a,14130,a)]. 14132 (((x / y) \ z) \ y) * (z * (((x / y) \ z) \ y)) = (z \ (x * (x / y))) * y. [hyper(227,a,11630,a(flip),b,14131,a(flip)),flip(a)]. 14133 (x \ (y / z)) * (z * ((y / z) * z)) = (x \ (y * (y / z))) * z. [hyper(227,a,13188,a(flip),b,14132,a(flip)),flip(a)]. 14134 (x \ (y * (y / z))) * z = (x \ (y / z)) * (z * y). [para(16(a,1),14133(a,1,2,2)),flip(a)]. 14135 x / (((y * z) * u) \ ((y * (z * u)) * x)) = L(a(y,z,u),x,y * (z * u)). [hyper(227,a,14078,a(flip),b,14087,a(flip))]. 14136 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (((T(x,(y * z) \ 1) * y) * z) \ (((1 / (y * z)) \ x) * u)). [para(1537(a,1),14135(a,1,2,2,1)),flip(a)]. 14137 T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 * K(y \ K(z,u),y)) * w) \ x. [para(6497(a,1),13805(a,2,1,1))]. 14138 T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = ((1 * K(y,y \ K(z,u))) * w) \ x. [para(8583(a,1),14137(a,2,1,1,2))]. 14139 T(x,K(y,y \ K(z,u)) * w) * (w \ K(y,y \ K(z,u))) = (K(y,y \ K(z,u)) * w) \ x. [para(11(a,1),14138(a,2,1,1))]. 14140 T(x,y) * (y \ K(z,z \ K(u,w))) = (K(z,z \ K(u,w)) * y) \ x. [para(13586(a,1),14139(a,1,1))]. 14141 (K(x,x \ K(y,z)) * u) \ w = (u \ w) * K(x,x \ K(y,z)). [hyper(13731,a,14140,a),flip(a)]. 14143 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(T(z,x \ 1),w)). [hyper(227,a,13971,a(flip),b,14100,a)]. 14144 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(z,T(w,x))). [para(7540(a,1),14143(a,2,3))]. 14145 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a((y / z) / (u * w),u,K(z,w)). [hyper(227,a,13635,a(flip),b,14144,a)]. 14146 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K((y / z) / (u * w),w)). [hyper(227,a,13931,a,b,14145,a)]. 14148 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K(w \ ((y / z) / u),w)). [para(11042(a,1),14146(a,2,3))]. 14149 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K((y / z) / u,w)). [hyper(227,a,11432,a(flip),b,14148,a)]. 14150 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,z,K(u \ (y / z),w)). [hyper(227,a,13640,a(flip),b,14149,a)]. 14151 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,y / z)). [hyper(227,a,13972,a(flip),b,14150,a)]. 14152 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,z \ y)). [hyper(227,a,13639,a(flip),b,14151,a)]. 14153 (x * ((y / z) / (u * w))) / (x * ((y / T(z,w)) / (u * T(w,z)))) = a(u,w,K(z,y)). [hyper(227,a,11441,a(flip),b,14152,a)]. 14154 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13652(a,1),13535(a,1,2,2,1))]. 14155 (K(x,K(y,z)) * (u * w)) \ (u * ((w * v5) * K(x,K(y,z)))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13603(a,1),14154(a,1,2))]. 14156 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13606(a,1),14155(a,1,2,2))]. 14157 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,u * K(x,K(y,z))). [para(13652(a,1),14156(a,2,2))]. 14158 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,y,z * K(u,K(w,v5))). [hyper(13669,a,14157,a)]. 14159 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(227,a,13652,a(flip),b,14158,a(flip))]. 14161 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(7686(a,1),14159(a,1,3)),flip(a)]. 14162 L(x,y / z,K(u,w)) = L(x,w,K(u,y \ z)). [hyper(14061,a,14161,a)]. 14163 L(x,y,K(z,u \ y)) = L(x,y,K(u,z)). [hyper(227,a,14055,a(flip),b,14162,a(flip))]. 14164 L(x,y \ z,K(z,u)) = L(x,z,K(y,u)). [hyper(14065,a,14163,a)]. 14165 L(L(x,y \ 1,z),z,K(y,u)) = L(x,y \ 1,T(z,u)). [hyper(14089,a,14164,a),flip(a)]. 14167 L(L(x,y,z),y,K(z,u)) = L(x,z \ 1,T(y,u)). [para(13885(a,1),14165(a,1,1))]. 14168 L(x,y \ 1,T(z,u)) = L(x,z,T(y,u)). [hyper(14026,a,14167,a),flip(a)]. 14169 L(x,T(y,z),u) = L(x,y,T(u,z)). [hyper(13995,a,14168,a)]. 14170 L(x,y,T(z,u)) != w | L(x,T(y,u),z) = w. [para(14168(a,1),13995(a,1))]. 14171 L(x,T(y,z),z * u) = L(x,y,u * z). [hyper(227,a,12077,a(flip),b,14169,a)]. 14179 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (((T(x,z \ (y \ 1)) * y) * z) \ (((1 / (y * z)) \ x) * u)). [para(123(a,1),14136(a,2,2,1,1,1,2))]. 14180 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (L((1 / (y * z)) \ x,y,z) \ (((1 / (y * z)) \ x) * u)). [para(14124(a,1),14179(a,2,2,1))]. 14181 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a((1 / (y * z)) \ x,z,y) * u). [para(13435(a,1),14180(a,2,2))]. 14182 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(y,(1 / (y * z)) \ x,z) * u). [para(13925(a,1),14181(a,2,2,1))]. 14183 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(y,(y * z) * x,z) * u). [para(12624(a,1),14182(a,2,2,1))]. 14184 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u / (a(x,z,y) * u). [para(14129(a,1),14183(a,2,2,1))]. 14185 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u \ (u / a(x,z,y)). [hyper(227,a,944,a(flip),b,14184,a)]. 14186 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = u \ (u * a(x,y,z)). [para(13927(a,1),14185(a,2,2))]. 14187 L(a(T(x,(y * z) \ 1),y,z),u,T(x,(y * z) \ 1) * (y * z)) = a(x,y,z). [hyper(227,a,13,a(flip),b,14186,a)]. 14189 L(a(T(x,y \ (z \ 1)),z,y),u,T(x,(z * y) \ 1) * (z * y)) = a(x,z,y). [para(123(a,1),14187(a,1,1,1,2))]. 14190 L(a(x,y,T(z,y \ (x \ 1))),u,T(z,(x * y) \ 1) * (x * y)) = a(z,x,y). [para(13925(a,2),14189(a,1,1))]. 14191 L(a(x,y,T(z,x \ 1)),u,T(z,(x * y) \ 1) * (x * y)) = a(z,x,y). [para(14076(a,1),14190(a,1,1))]. 14192 L(a(x,y,T(z,1)),u,T(y,(z * x) \ 1) * (z * x)) = a(y,z,x). [para(14051(a,1),14191(a,1,1))]. 14193 L(a(x,y,z),u,T(y,(z * x) \ 1) * (z * x)) = a(y,z,x). [para(144(a,1),14192(a,1,1,3))]. 14194 L(a(x,y,z),u,T(x,(y * z) \ 1) * (y * z)) = a(x,y,z). [para(13925(a,2),14193(a,1,1))]. 14195 L(a(x,y,z),u,(1 / (y * z)) \ x) = a(x,y,z). [para(1537(a,1),14194(a,1,3))]. 14196 L(a(x,y,z),u,(y * z) * x) = a(x,y,z). [hyper(227,a,12085,a(flip),b,14195,a(flip)),flip(a)]. 14197 L(a(x,y,z),u,x * (y * z)) = a(x,y,z). [hyper(227,a,14171,a(flip),b,14196,a(flip)),flip(a)]. 14198 ((K(x,x \ K(y,z)) \ u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). [para(3267(a,1),13726(a,1,1,1,1))]. 14199 ((K(x \ K(y,z),x) * u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). [para(6443(a,1),14198(a,1,1,1))]. 14200 ((K(x,x \ K(y,z)) * u) \ w) * ((u \ 1) * K(x,x \ K(y,z))) = (u \ K(x,x \ K(y,z))) * ((u / w) \ K(x,x \ K(y,z))). [para(8583(a,1),14199(a,1,1,1,1))]. 14201 ((x \ y) * K(z,z \ K(u,w))) * ((x \ 1) * K(z,z \ K(u,w))) = (x \ K(z,z \ K(u,w))) * ((x / y) \ K(z,z \ K(u,w))). [para(14141(a,1),14200(a,1,1))]. 14202 ((x \ y) * K(z,z \ K(u,w))) * (x \ K(z,z \ K(u,w))) = (x \ K(z,z \ K(u,w))) * ((x / y) \ K(z,z \ K(u,w))). [para(6514(a,1),14201(a,1,2))]. 14203 (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (K(y,y \ K(z,u)) * (x \ K(y,y \ K(z,u)))). [hyper(227,a,13730,a(flip),b,14202,a(flip))]. 14204 (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (K(y,K(z,u)) * (x \ K(y,K(z,u)))). [para(13716(a,1),14203(a,2,2))]. 14205 (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = (x \ w) * (x \ 1). [hyper(227,a,13580,a(flip),b,14204,a)]. 14207 (x \ K(y,y \ K(z,u))) * ((x / w) \ K(y,y \ K(z,u))) = x \ (w / x). [hyper(227,a,1257,a(flip),b,14205,a)]. 14208 (x \ K(y,y \ K(z,u))) * (w * (x \ K(y,y \ K(z,u)))) = x \ (w / x). [para(13721(a,1),14207(a,1,2))]. 14209 (x * ((1 / (x / y)) \ (x / (x \ y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(796(a,1),14095(a,1,1,2,2))]. 14210 (x * ((x / y) / (x \ (y / x)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(1274(a,1),14209(a,1,1,2))]. 14211 (x * (x / (x \ ((y / x) * y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(1881(a,1),14210(a,1,1,2))]. 14212 (x * (x / ((x \ y) * (x \ y)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(3989(a,1),14211(a,1,1,2,2))]. 14213 (x * (x * (y \ ((y / x) \ x)))) * ((((y / x) \ x) \ 1) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(13016(a,1),14212(a,1,1,2))]. 14214 (x * (x * (y \ ((y / x) \ x)))) * ((x \ (1 / (x / y))) * (((1 / (x / y)) / x) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(3436(a,1),14213(a,1,2,1))]. 14215 (x * (x * (y \ ((y / x) \ x)))) * ((x \ (1 / (x / y))) * ((1 / (x * (x / y))) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(325(a,1),14214(a,1,2,2,1))]. 14216 (x * (x / y)) * (((x \ y) / x) \ ((x \ (1 / (x / y))) * ((1 / (x * (x / y))) * z))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [hyper(227,a,13018,a(flip),b,14215,a(flip)),flip(a)]. 14217 (x * (x / y)) * (K(y,y \ 1) * ((1 / (x * (x / y))) * z)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(13094(a,1),14216(a,1,2))]. 14218 (x * (x / y)) * (K(y,y \ 1) / (z \ (x * (x / y)))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(6534(a,1),14217(a,1,2))]. 14220 (x * (x / y)) * (y * (1 / ((z \ (x * (x / y))) * y))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [hyper(227,a,3666,a(flip),b,14218,a(flip)),flip(a)]. 14221 (x * (x / y)) * (y * (1 / ((z \ (x / y)) * (y * x)))) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(14134(a,1),14220(a,1,2,2,2))]. 14222 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (1 / (x / y)),x \ (1 / (x / y))). [para(13464(a,1),14221(a,1,2,2))]. 14223 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (1 / (x / y)),(x \ y) / x). [hyper(227,a,4639,a(flip),b,14222,a)]. 14224 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,(x \ y) / x,(x \ y) / x). [hyper(227,a,10713,a(flip),b,14223,a)]. 14225 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x \ (x \ y),x \ (x \ y)). [hyper(227,a,9809,a(flip),b,14224,a)]. 14226 (x * (x / y)) * (y * (((x * x) \ (z / y)) * y)) = L(z,x * (y \ x),x * (y \ x)). [hyper(227,a,12231,a(flip),b,14225,a)]. 14227 (x * (x / y)) * (((x * x) / y) \ L(z,y,y)) = L(z,x * (y \ x),x * (y \ x)). [para(9319(a,1),14226(a,1,2))]. 14228 (x * (x / y)) * ((x * (x / y)) \ L(z,y,y)) = L(z,x * (y \ x),x * (y \ x)). [para(922(a,1),14227(a,1,2,1))]. 14229 L(x,y * (z \ y),y * (z \ y)) = L(x,z,z). [hyper(205,a,14228,a)]. 14231 L(x,(y * z) * u,(y * z) * u) = L(x,z * (y \ u),z * (y \ u)). [hyper(227,a,12237,a(flip),b,14229,a(flip))]. 14233 L(x,y \ (z \ (u \ 1)),y \ (z \ (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). [hyper(227,a,10354,a,b,14231,a(flip)),flip(a)]. 14234 L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,(y \ z) \ u,(y \ z) \ u). [hyper(227,a,10034,a(flip),b,14231,a(flip))]. 14235 L(x,y * (z / (u \ 1)),y * (z / (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). [hyper(12236,a,14233,a)]. 14236 L(x,y * ((1 / z) \ u),y * (z / (u \ 1))) = L(x,z * (u \ y),z * (u \ y)). [para(317(a,1),14235(a,1,2,2))]. 14237 L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,z * (u \ y),z * (u \ y)). [para(317(a,1),14236(a,1,3,2))]. 14238 L(x,(y \ z) \ u,(y \ z) \ u) = L(x,z * (u \ y),z * (u \ y)). [hyper(227,a,14234,a(flip),b,14237,a(flip)),flip(a)]. 14239 L(x,1 * (y \ z),1 * (y \ z)) = L(x,z * y,z * y). [hyper(9835,a,14238,a),flip(a)]. 14240 L(x,y \ z,1 * (y \ z)) = L(x,z * y,z * y). [para(11(a,1),14239(a,1,2))]. 14241 L(x,y \ z,y \ z) = L(x,z * y,z * y). [para(11(a,1),14240(a,1,3))]. 14242 L(x,y * (1 / z),y * (z \ 1)) = L(x,y * z,y * z). [hyper(227,a,12232,a,b,14241,a(flip)),flip(a)]. 14243 ((1 / x) * y) * ((y \ x) * z) = L(z,y * x,y * x). [hyper(227,a,9403,a,b,14241,a(flip)),flip(a)]. 14244 x * (1 / (L((x \ 1) \ 1,y * z,y * z) * x)) = ((y / x) \ ((1 / z) \ x)) \ ((x \ 1) \ (y \ z)). [para(14243(a,1),11767(a,1,2,2,1))]. 14245 (1 / x) \ L(((1 / x) \ (y \ 1)) \ (x * z),y * x,y * x) = (x * y) * z. [para(14242(a,1),10767(a,1,2))]. 14246 x / (((y * x) * (((1 / x) \ (y \ 1)) \ (x * z))) \ (y * x)) = (x * y) * z. [hyper(1663,a,14245,a)]. 14247 x / ((y * x) \ ((y * x) / ((y * (1 / x)) / (1 / (x * z))))) = (x * y) * z. [para(1769(a,1),14246(a,1,2))]. 14248 x / ((y * x) \ ((y * x) / ((y / (x * (1 / z))) * x))) = (x * y) * z. [para(9876(a,1),14247(a,1,2,2,2))]. 14249 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / ((((x * z) * (y \ 1)) \ (x * z)) * y)). [para(1301(a,1),14244(a,1,2,2,1)),flip(a)]. 14250 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / (((x * z) * ((y \ (x * z)) \ 1)) * y)). [para(1220(a,1),14249(a,2,2,2,1))]. 14251 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (1 / (((x * z) / y) \ ((x * z) * y))). [para(9763(a,1),14250(a,2,2,2))]. 14252 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * ((1 / ((x * z) * y)) * ((x * z) / y)). [para(313(a,1),14251(a,2,2))]. 14253 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = y * (y \ ((x * z) \ ((x * z) / y))). [para(13153(a,1),14252(a,2,2))]. 14254 ((x / y) \ ((1 / z) \ y)) \ ((y \ 1) \ (x \ z)) = (x * z) \ ((x * z) / y). [hyper(227,a,14,a(flip),b,14253,a)]. 14256 (((x \ 1) \ (y \ z)) * x) \ ((x \ 1) \ (y \ z)) = (y * z) \ ((y * z) / x). [para(2189(a,1),14254(a,1,1))]. 14257 ((x * (y \ z)) * x) \ (x * (y \ z)) = (y * z) \ ((y * z) / x). [hyper(9840,a,14256,a)]. 14258 (x \ y) \ ((x \ y) / z) = (x * y) \ ((x * y) / z). [hyper(1001,a,14257,a)]. 14259 ((x \ 1) * (T(x,y) / (z * u))) \ (T(T(x,y) \ 1,y \ 1) * (1 / (u * (T(x,y) \ 1)))) = L(z,u,K(T(x,y) \ 1,(y \ 1) \ ((T(x,y) \ 1) \ 1))). [para(263(a,1),13747(a,1,1,2))]. 14260 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((z \ 1) * (T(z,u) / (x * y))) \ ((z \ 1) * (1 / (y * (T(z,u) \ 1)))). [para(1570(a,1),14259(a,1,2,1)),flip(a)]. 14261 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((z \ 1) * (T(z,u) / (x * y))) \ ((z \ 1) * (T(z,u) / y)). [para(263(a,1),14260(a,2,2,2))]. 14263 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((T(z,u) / (x * y)) \ z) / ((T(z,u) / y) \ z). [hyper(227,a,4595,a(flip),b,14261,a)]. 14264 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((x * y) * K(u,z)) / ((T(z,u) / y) \ z). [para(6691(a,1),14263(a,2,1))]. 14265 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = ((x * y) * K(u,z)) / (y * K(u,z)). [para(6691(a,1),14264(a,2,2))]. 14266 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = R(x,y,K(u,z)). [hyper(227,a,30,a,b,14265,a)]. 14267 L(x,y,K(T(z,u) \ 1,(u \ 1) \ ((T(z,u) \ 1) \ 1))) = L(x,y,K(u,z)). [hyper(227,a,13890,a,b,14266,a)]. 14268 L(x,y,K(T(z,u) \ 1,(u \ 1) \ T((z \ 1) \ 1,u))) = L(x,y,K(u,z)). [para(1601(a,1),14267(a,1,3,2,2))]. 14269 L(x,y,K(T(z,u) \ 1,((z \ 1) \ 1) / (1 / u))) = L(x,y,K(u,z)). [para(1423(a,1),14268(a,1,3,2))]. 14270 L(x,y,K(T(z,u) \ 1,(z \ 1) \ (1 / (1 / u)))) = L(x,y,K(u,z)). [para(318(a,1),14269(a,1,3,2))]. 14271 L(x,y,K(T(z,u) \ 1,(z \ 1) \ u)) = L(x,y,K(u,z)). [para(8349(a,1),14270(a,1,3))]. 14272 L(x,y,K(T(z,u) \ 1,z * u)) = L(x,y,K(u,z)). [para(6026(a,1),14271(a,1,3))]. 14273 L(x,y,K(T(z,u),(z * u) \ 1)) = L(x,y,K(u,z)). [para(5378(a,1),14272(a,1,3))]. 14274 L(x,y,K(T(z,u),u \ (z \ 1))) = L(x,y,K(u,z)). [para(123(a,1),14273(a,1,3,2))]. 14275 L(x,y,K(z,(z \ 1) / u)) = L(x,y,K(u,z)). [para(7544(a,1),14274(a,1,3))]. 14276 L(x,y,K(z,z \ (u \ 1))) = L(x,y,K(u,z)). [para(8326(a,1),14275(a,1,3))]. 14277 L(x,K(y,z),u * z) = L(x,y,K(u,z)). [hyper(227,a,14079,a(flip),b,14276,a(flip)),flip(a)]. 14278 L(x,y,K(z,u * y)) = L(x,z,K(u,y)). [hyper(14067,a,14277,a)]. 14279 L(L(x,y,z * u),y,K(u,z)) = L(x,y,u * z). [hyper(227,a,14084,a(flip),b,14278,a(flip))]. 14280 L(L(x,y,z * u),z,K(y,u)) = L(x,y,u * z). [hyper(14065,a,14279,a)]. 14281 L(L(x,y,K(z,u)),z,y * u) = L(x,z,u * y). [hyper(227,a,45,a,b,14280,a(flip)),flip(a)]. 14282 L(L(x,y,K(z,u)),u,z * y) = L(x,u,y * z). [para(14005(a,1),14281(a,1,1))]. 14283 ((K(x,x \ K(y,z)) \ (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). [para(3267(a,1),13725(a,1,1,1,1))]. 14284 ((K(x \ K(y,z),x) * (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). [para(6443(a,1),14283(a,1,1,1))]. 14285 ((K(x,x \ K(y,z)) * (u / w)) \ v5) * (((u / w) \ 1) * K(x,x \ K(y,z))) = (w * (u \ K(x,x \ K(y,z)))) * (v5 * ((u / w) \ K(x,x \ K(y,z)))). [para(8583(a,1),14284(a,1,1,1,1))]. 14286 (((x / y) \ z) * K(u,u \ K(w,v5))) * (((x / y) \ 1) * K(u,u \ K(w,v5))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [para(14141(a,1),14285(a,1,1))]. 14287 (((x / y) \ z) * K(u,u \ K(w,v5))) * ((y * (x \ 1)) * K(u,u \ K(w,v5))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [para(125(a,1),14286(a,1,2,1))]. 14288 (((x / y) \ z) * K(u,u \ K(w,v5))) * (y * ((x \ 1) * K(u,u \ K(w,v5)))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [para(13729(a,1),14287(a,1,2))]. 14289 (((x / y) \ z) * K(u,u \ K(w,v5))) * (y * (x \ K(u,u \ K(w,v5)))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [para(6514(a,1),14288(a,1,2,2))]. 14290 ((x / y) \ z) * (K(u,u \ K(w,v5)) * (y * (x \ K(u,u \ K(w,v5))))) = (y * (x \ K(u,u \ K(w,v5)))) * (z * ((x / y) \ K(u,u \ K(w,v5)))). [hyper(227,a,13730,a(flip),b,14289,a(flip)),flip(a)]. 14291 (x * (y \ K(z,z \ K(u,w)))) * (v5 * ((y / x) \ K(z,z \ K(u,w)))) = ((y / x) \ v5) * (x * (y \ 1)). [para(13727(a,1),14290(a,1,2)),flip(a)]. 14292 (x * (y \ K(z,z \ K(u,w)))) * (v5 * ((y / x) \ K(z,z \ K(u,w)))) = (x / y) * (v5 * (x / y)). [hyper(227,a,10052,a(flip),b,14291,a)]. 14294 (x * (y \ K(z,z \ K(u,w)))) * (v5 * (x * (y \ K(z,z \ K(u,w))))) = (x / y) * (v5 * (x / y)). [para(13721(a,1),14292(a,1,2,2))]. 14295 x * ((y \ K(z,z \ K(u,w))) * ((v5 * x) * (y \ K(z,z \ K(u,w))))) = (x / y) * (v5 * (x / y)). [hyper(227,a,12578,a(flip),b,14294,a(flip)),flip(a)]. 14296 (x / y) * (z * (x / y)) = x * (y \ ((z * x) / y)). [para(14208(a,1),14295(a,1,2)),flip(a)]. 14297 (x / y) \ (z / (x / y)) = y * (x \ ((z * y) / x)). [hyper(227,a,10051,a,b,14296,a(flip)),flip(a)]. 14298 x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = (x / y) * (((x / y) \ 1) * z). [para(1994(a,1),14296(a,1,2)),flip(a)]. 14299 x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = (x / y) * ((y * (x \ 1)) * z). [para(125(a,1),14298(a,2,2,1))]. 14300 x * (y \ ((((x / y) \ (z / (x / y))) * x) / y)) = L(z,y \ x,y \ x). [hyper(227,a,9812,a(flip),b,14299,a)]. 14301 x * (y \ (((y * (x \ ((z * y) / x))) * x) / y)) = L(z,y \ x,y \ x). [para(14297(a,1),14300(a,1,2,2,1,1))]. 14302 x * ((x \ ((y * z) / x)) * (x * (z \ 1))) = L(y,z \ x,z \ x). [para(1875(a,1),14301(a,1,2))]. 14303 x * ((x \ ((y * z) / x)) * (x * (z \ 1))) = L(y,x * z,x * z). [hyper(227,a,14241,a(flip),b,14302,a)]. 14304 x * ((x \ 1) * ((y * z) * (z \ 1))) = L(y,x * z,x * z). [para(9451(a,1),14303(a,1,2))]. 14305 x * ((x \ 1) * L(y,z,z)) = L(y,x * z,x * z). [para(1028(a,1),14304(a,1,2,2))]. 14306 L(x,y * z,y * z) = L(L(x,z,z),y,y). [hyper(1390,a,14305,a),flip(a)]. 14307 L(x,y \ z,y \ z) = L(L(x,y,y),z,z). [hyper(227,a,14241,a,b,14306,a(flip)),flip(a)]. 14308 ((1 / x) * y) \ (((1 / x) * y) / z) = L(L(1 / z,y,y),x,x). [hyper(227,a,13489,a,b,14307,a(flip)),flip(a)]. 14309 ((1 / x) * y) \ (((1 / x) * y) / z) = L(y \ (y / z),x,x). [para(1371(a,1),14308(a,2,1))]. 14310 ((1 / x) * y) \ (1 / (z * (y \ x))) = L(y \ (y / z),x,x). [para(328(a,1),14309(a,1,2))]. 14311 (x \ y) / (z * (x \ y)) = L(x \ (x / z),y,y). [hyper(581,a,14310,a)]. 14312 (x \ y) \ ((x \ y) / z) = L(x \ (x / z),y,y). [hyper(965,a,14311,a)]. 14313 (x * y) \ ((x * y) / z) = L(x \ (x / z),y,y). [hyper(227,a,14258,a(flip),b,14312,a(flip)),flip(a)]. 14314 x / L(y \ (y / ((y / (x * (1 / z))) * x)),x,x) = (x * y) * z. [para(14313(a,1),14248(a,1,2))]. 14315 x * (1 / (y \ (y / ((y / (x * (1 / z))) * x)))) = (x * y) * z. [hyper(1316,a,14314,a)]. 14316 x * ((1 / (y / ((y / (x * (1 / z))) * x))) * y) = (x * y) * z. [para(313(a,1),14315(a,1,2))]. 14317 x * (y * ((((y / (x * (1 / z))) * x) \ y) \ 1)) = (x * y) * z. [para(5321(a,1),14316(a,1,2))]. 14318 x * (y * (((y * x) \ (y * (x * (1 / z)))) \ 1)) = (x * y) * z. [para(13417(a,1),14317(a,1,2,2,1))]. 14319 x * (y * (L(1 / z,x,y) \ 1)) = (x * y) * z. [para(28(a,2),14318(a,1,2,2,1))]. 14320 x * (y * L(z,x,y)) = (x * y) * z. [para(13062(a,1),14319(a,1,2,2))]. 14321 L(L(x,y,z),z,y) = x. [hyper(464,a,14320,a(flip))]. 14322 (1 / x) * (y * L(z,y,x)) = ((1 / x) * y) * z. [para(13886(a,1),14320(a,1,2,2))]. 14323 x * (y * (z * a(x,y,z))) = (x * y) * z. [para(13894(a,1),14320(a,1,2,2))]. 14324 x * (y * (z * (((u / T(x,y)) / y) / z))) = (x * y) * (z * ((u / (x * y)) / z)). [para(14118(a,1),14320(a,1,2,2))]. 14325 (x * (y * (z * u))) * a(y,z,u) = x * ((y * (z * u)) * a(y,z,u)). [para(14197(a,1),14320(a,1,2,2)),flip(a)]. 14326 L(L(L(x,y,z),u,w),z,y) = L(x,u,w). [para(14321(a,1),45(a,1,1)),flip(a)]. 14327 x \ ((x * y) * z) = y * (z * a(x,y,z)). [hyper(78,a,14323,a)]. 14328 x \ (y \ ((y * x) * z)) = z * a(y,x,z). [hyper(72,a,14327,a,b,xx)]. 14329 x \ (y \ ((y * x) * z)) = R(1 / z,y,x) \ 1. [hyper(227,a,13848,a,b,14328,a)]. 14330 x \ (y \ ((y * x) * z)) = a(y,x,z) * z. [hyper(227,a,12811,a,b,14328,a)]. 14332 a(x,y,L(z,x,y)) * L(z,x,y) = y \ (x \ (y * (T(x,y) * z))). [para(11070(a,1),14330(a,1,2,2)),flip(a)]. 14333 (1 / x) \ ((((1 / x) * y) * z) / (1 / x)) = (y * L(z,y,x)) * ((1 / x) \ 1). [para(14322(a,1),1258(a,1,2,1))]. 14334 x \ (y \ (x * (T(y,x) * z))) = L(L(z,y,x),y,x). [hyper(13917,a,14332,a),flip(a)]. 14335 L(x,y * (z * u),a(y,z,u)) = x. [hyper(13988,a,14325,a)]. 14336 (x / (y * (z * u))) / a(y,z,u) = x / (a(y,z,u) * (y * (z * u))). [hyper(14114,a,14335,a)]. 14337 T(x * (y * z),a(x,y,z) \ 1) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. [hyper(227,a,14121,a,b,14335,a(flip)),flip(a)]. 14338 x / (a(y,z,u) * (y * (z * u))) = (x / (y * (z * u))) * a(y,u,z). [hyper(227,a,13927,a(flip),b,14336,a(flip))]. 14339 (x / (y * (z * u))) * a(y,u,z) = x / ((y * z) * u). [para(12971(a,1),14338(a,1,2)),flip(a)]. 14340 (1 / ((x * y) * z)) \ a(x,z,y) = T(x * (y * z),a(x,z,y)). [para(14339(a,1),1197(a,2,1)),flip(a)]. 14341 L(x / ((y * z) * u),y,K(z,u)) = a(y,u,z) * (x / (y * (z * u))). [para(14339(a,1),14066(a,1,1))]. 14342 T(x * (y * z),a(x,z,y)) = ((x * y) * z) * a(x,z,y). [hyper(12721,a,14340,a),flip(a)]. 14343 T(x * (y * z),a(x,z,y)) = x * (y * z). [hyper(13969,a,14342,a(flip)),flip(a)]. 14344 (1 / x) \ (1 / ((1 / x) * (y \ (z \ x)))) = (z * L(y,z,x)) * ((1 / x) \ 1). [para(756(a,1),14333(a,1,2))]. 14345 (1 / x) \ (1 / ((y * (z * x)) \ x)) = (y * L(z,y,x)) * ((1 / x) \ 1). [para(1524(a,1),14344(a,1,2,2))]. 14346 (1 / x) \ ((1 / x) * (y * (z * x))) = (y * L(z,y,x)) * ((1 / x) \ 1). [para(313(a,1),14345(a,1,2))]. 14347 (x * L(y,x,z)) * ((1 / z) \ 1) = x * (y * z). [hyper(282,a,14346,a)]. 14349 (x * L(y,x,z)) * z = x * (y * z). [para(65(a,1),14347(a,1,2))]. 14351 L(L(((x / T(y,z)) / z) / u,u,z),z * u,y) = (y * (z * u)) \ ((y * z) * (u * ((x / (y * z)) / u))). [para(14324(a,1),466(a,1,2)),flip(a)]. 14352 T(x * (y * z),a(x,z,y)) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. [para(13926(a,1),14337(a,1,1,2))]. 14353 (x * (y * z)) \ ((a(x,y,z) * (x * (y * z))) * u) = a(x,y,z) * u. [para(14343(a,1),14352(a,1,1))]. 14354 (x * (y * z)) \ (((x * y) * z) * u) = a(x,y,z) * u. [para(12971(a,1),14353(a,1,2,1))]. 14356 (x * (y * z)) \ ((x * y) * (z * u)) = a(x,y,z) * L(u,z,x * y). [para(100(a,1),14354(a,1,2))]. 14357 (x * (y * z)) \ ((x * y) * (z * ((u / (x * y)) / z))) = L((u / T(x,y)) / (z * y),y * z,x). [para(13893(a,1),14351(a,1,1)),flip(a)]. 14358 a(x,y,z) * L((u / (x * y)) / z,z,x * y) = L((u / T(x,y)) / (z * y),y * z,x). [hyper(227,a,14356,a(flip),b,14357,a(flip)),flip(a)]. 14359 L((x / T(y,z)) / (u * z),z * u,y) = a(y,z,u) * (x / (u * (y * z))). [para(13893(a,1),14358(a,1,2)),flip(a)]. 14360 L((x / T(y,z)) / (u * T(z,y)),T(z,y) * u,y) = a(y,T(z,y),u) * (x / (u * (y * T(z,y)))). [para(1938(a,1),14359(a,1,1,1,2))]. 14361 L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,T(z,y),u) * (x / (u * (y * T(z,y)))). [hyper(14083,a,14360,a)]. 14362 L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,z,u) * (x / (u * (y * T(z,y)))). [para(13442(a,1),14361(a,2,1))]. 14363 L((x / T(y,z)) / (u * T(z,y)),z * u,y) = a(y,z,u) * (x / (u * (z * y))). [para(113(a,1),14362(a,2,2,2,2))]. 14364 L(a(x,y,z) * (u / (z * (y * x))),x,y * z) = (u / T(x,y)) / (z * T(y,x)). [para(14363(a,1),14321(a,1,1))]. 14365 L(a(x,y,z) * (u / (x * (z * y))),y,z * x) = (u / T(y,z)) / (x * T(z,y)). [para(13925(a,1),14364(a,1,1,1))]. 14366 L(L(x / ((y * z) * u),y,K(z,u)),u,z * y) = (x / T(u,z)) / (y * T(z,u)). [para(14341(a,2),14365(a,1,1))]. 14367 L(x / ((y * z) * u),u,y * z) = (x / T(u,z)) / (y * T(z,u)). [hyper(227,a,14282,a(flip),b,14366,a(flip)),flip(a)]. 14368 (x / T(y,z)) / (u * T(z,y)) = (x / y) / (u * z). [hyper(14114,a,14367,a),flip(a)]. 14369 (x * ((y / z) / (u * w))) / (x * ((y / z) / (u * w))) = a(u,w,K(z,y)). [para(14368(a,1),14153(a,1,2,2))]. 14370 a(x,y,K(z,u)) = 1. [hyper(296,a,14369,a),flip(a)]. 14372 a(K(x,y),z,u) = 1. [hyper(13964,a,14370,a)]. 14377 L(K(x,y),z,u) = K(x,y). [hyper(33,a,14370,a)]. 14394 L(x,y,K(z,u)) = x. [hyper(33,a,14372,a)]. 14398 T(a(x,y,z),u) = a(x,y,z). [hyper(14069,a,14394,a)]. 14399 L(x,y,T(z,u)) = L(x,y,z). [hyper(14026,a,14394,a)]. 14400 L(x,K(y,z),u) = x. [hyper(13995,a,14394,a)]. 14402 T(x,a(y,z,u)) = x. [hyper(13943,a,14394,a)]. 14405 L(x,y,K(z,u)) = L(x,w,K(v5,v6)). [hyper(227,a,14394,a,b,14394,a)]. 14425 a(x,y,z) * u = u * a(x,y,z). [hyper(227,a,14066,a(flip),b,14394,a(flip)),flip(a)]. 14427 (K(x,y) * z) \ u = z \ (K(y,x) * u). [hyper(227,a,6468,a(flip),b,14394,a(flip)),flip(a)]. 14430 (K(x,y) * z) * u = K(x,y) * (z * u). [para(14394(a,1),100(a,1,2))]. 14433 (K(x,y) * (z * u)) / u != w | K(x,y) * z = w. [para(14394(a,1),295(a,1,2))]. 14441 L(x,y,T(z,u)) != w | L(x,y,z) = w. [para(14394(a,1),10437(a,1))]. 14444 (x * y) * K(z,u) = x * (y * K(z,u)). [para(14394(a,1),13739(a,1,1)),flip(a)]. 14445 (x * K(y,z)) * u = x * (K(y,z) * u). [para(14394(a,1),14320(a,1,2,2)),flip(a)]. 14455 (x * K(y,z)) \ u = K(z,y) * (x \ u). [hyper(227,a,6469,a(flip),b,14400,a(flip)),flip(a)]. 14470 x / a(y,z,u) = a(y,z,u) \ x. [hyper(408,a,14402,a),flip(a)]. 14476 T(x,L(y,z,u) \ y) = x. [hyper(227,a,12486,a,b,14402,a(flip)),flip(a)]. 14480 x * (a(y,z,u) \ 1) = a(y,z,u) \ x. [para(14402(a,1),1244(a,1,1))]. 14489 K(x,L(y,z,u)) = K(x,y). [hyper(11374,a,14377,a)]. 14548 x / (L(y,z,u) \ y) = (y \ L(y,z,u)) * x. [para(14476(a,1),9215(a,1,1))]. 14558 T(x,L(y,z,u)) = x * K(x,y). [para(14489(a,1),4996(a,2,2))]. 14574 a(x,y,T(z,u)) = a(x,y,z). [hyper(14028,a,14398,a)]. 14579 a(T(x,y),z,u) = a(x,z,u). [hyper(227,a,13499,a,b,14398,a(flip)),flip(a)]. 14584 (a(x,y,z) \ 1) \ u = u * a(x,y,z). [para(14398(a,1),788(a,1,2)),flip(a)]. 14591 L(x,T(y,z),u) = L(x,y,u). [hyper(14170,a,14399,a)]. 14599 L(x,y,z / u) = L(x,y,u \ z). [para(115(a,1),14399(a,1,3)),flip(a)]. 14601 L(x,y,z * (u \ 1)) = L(x,y,u \ z). [para(626(a,1),14399(a,1,3))]. 14615 a(x,y,(z \ u) \ u) = a(x,y,z). [para(114(a,1),14574(a,1,3))]. 14616 a(x,y,((1 / z) * u) \ w) = a(x,y,w * (u \ z)). [para(627(a,1),14574(a,1,3)),flip(a)]. 14617 a(x,y,(z * u) \ u) = a(x,y,z \ 1). [para(1193(a,1),14574(a,1,3))]. 14618 a(x,y,z * (u \ (w \ 1))) = a(x,y,(w * u) \ z). [para(1217(a,1),14574(a,1,3)),flip(a)]. 14621 L(a(x,y,z),u,K(w,v5)) = a(T(x,v6),y,z). [hyper(227,a,14394,a,b,14579,a),flip(a)]. 14628 a(x / y,z,u) = a(y \ x,z,u). [para(115(a,1),14579(a,1,1)),flip(a)]. 14643 L(x,(y \ z) \ z,u) = L(x,y,u). [hyper(227,a,14038,a,b,14591,a(flip)),flip(a)]. 14646 L(x,y * (z \ 1),u) = L(x,z \ y,u). [para(626(a,1),14591(a,1,2))]. 14648 L(x,((1 / y) * z) \ u,w) = L(x,u * (z \ y),w). [para(627(a,1),14591(a,1,2)),flip(a)]. 14649 L(x,(y / z) \ 1,u) = L(x,y \ z,u). [para(1195(a,1),14591(a,1,2)),flip(a)]. 14658 T(x,L(y,z,u)) = T(x,y). [hyper(227,a,4996,a,b,14558,a)]. 14664 T(x / L(y,z,u),y) = L(y,z,u) \ x. [hyper(408,a,14658,a),flip(a)]. 14670 T(x,R(y,z,u)) = T(x,y). [hyper(227,a,12931,a,b,14658,a(flip)),flip(a)]. 14691 R(x,y,z) * T(u,x) = u * R(x,y,z). [para(14670(a,1),113(a,1,2))]. 14701 K(x,T(y,z)) * R(z,u,w) = R(z,u,w) * K(x,y). [para(14670(a,1),7515(a,1,1,2))]. 14743 L(x,y,K(z,u)) != w | w = x. [para(14405(a,1),360(a,1))]. 14784 L(x,y,z * u) != w | L(x,y,u * z) = w. [para(14037(a,1),14743(a,1)),flip(b)]. 14789 x * (a(y,z,u) * w) = x * (w * a(y,z,u)). [hyper(21,a,14425,a)]. 14794 (a(x,y,z) \ u) \ u != w | a(x,y,z) = w. [para(14470(a,1),281(a,1,1)),flip(b)]. 14797 (x \ (y / z)) \ ((x \ y) / z) = a(z,y \ 1,x). [hyper(227,a,13021,a,b,14615,a(flip)),flip(a)]. 14798 a(x,y,L(z \ 1,u,w) \ 1) = a(x,y,L(z,u,w)). [para(13064(a,2),14615(a,1,3,1))]. 14802 L(x,y,z \ u) != w | L(x,y,u / z) = w. [para(115(a,1),14441(a,1,3))]. 14804 L(x,y,z * (u \ 1)) != w | L(x,y,u \ z) = w. [para(626(a,1),14441(a,1,3))]. 14805 L(x,T(y,z),u) != w | L(x,y,u) = w. [para(14169(a,2),14441(a,1))]. 14809 L(x,y * (z \ 1),u) != w | L(x,z \ y,u) = w. [para(626(a,1),14805(a,1,2))]. 14812 (T(x,y) * z) \ (K(x,y) * u) = (x * z) \ u. [para(6425(a,1),14427(a,1,1)),flip(a)]. 14818 (K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,u,K(x,y) * z). [para(14430(a,1),28(a,2,1)),flip(a)]. 14819 ((K(x,y) * (z * u)) * w) / (u * w) = R(K(x,y) * z,u,w). [para(14430(a,1),30(a,2,1,1)),flip(a)]. 14824 R(x,K(y,z) * u,w) * (K(y,z) * (u * w)) = (x * (K(y,z) * u)) * w. [para(14430(a,1),109(a,1,2))]. 14825 (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) != v5 | a(x,K(y,z) * u,w) = v5. [para(14430(a,1),825(a,1,1,2))]. 14828 K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. [para(5788(a,1),14430(a,1,1)),flip(a)]. 14829 K(x,y) * ((x * z) * u) = (T(x,y) * z) * u. [para(5795(a,1),14430(a,1,1)),flip(a)]. 14832 K(x,y) * ((x \ y) * z) = (y * (x \ 1)) * z. [para(6399(a,1),14430(a,1,1)),flip(a)]. 14854 ((x * K(y,z)) * u) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [hyper(72,a,14445,a(flip),b,100,a)]. 14855 (x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w) = a(x,y * K(z,u),w). [para(14445(a,1),24(a,2,1,2)),flip(a)]. 14856 (x * (K(y,z) * (u * w))) \ (((x * K(y,z)) * u) * w) = a(x * K(y,z),u,w). [para(14445(a,1),24(a,2,1)),flip(a)]. 14861 (x \ K(y,z)) * (K(z,y) * u) = (x \ 1) * u. [para(5105(a,1),14445(a,1,1)),flip(a)]. 14862 (x \ T(y,z)) * (K(z,y) * u) = (x \ y) * u. [para(6685(a,1),14445(a,1,1)),flip(a)]. 14864 (x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w). [para(14444(a,1),14445(a,1,1))]. 14871 K(x,T(y,z)) * (z \ u) = (K(y,x) * z) \ u. [para(5994(a,1),14455(a,1,1)),flip(a)]. 14875 x * a(y \ 1,z,u) = a(z,u,y) \ x. [para(13479(a,2),14480(a,1,2))]. 14877 (x \ L(x,y,z)) \ u = u * a(z,y,x). [para(13481(a,1),14584(a,1,1))]. 14879 a(x,y,((z * u) * w) \ (u * w)) = a(x,y,R(z,u,w) \ 1). [para(109(a,1),14617(a,1,3,1))]. 14883 x * (L(x,y,z) \ u) != w | (u / L(x,y,z)) * x = w. [para(14664(a,1),210(a,1,2))]. 14885 ((x * y) / x) * R(x,z,u) = R(x,z,u) * y. [para(160(a,1),14691(a,1,2)),flip(a)]. 14889 a(T(x,y),z,u) != w | a(x,z,u) = w. [para(14621(a,1),360(a,1)),flip(b)]. 14914 L(x,y,z \ u) != w | L(x,y,(z \ 1) * u) = w. [para(14601(a,1),14784(a,1))]. 14917 (x \ L(x,y,z)) * (u * (L(x,y,z) \ x)) = u. [hyper(293,a,14548,a)]. 14921 L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = ((x \ z) * (u * w)) \ (K(x,y) * (((T(x,y) \ z) * u) * w)). [para(14828(a,1),484(a,1,1)),flip(a)]. 14922 K(x,y) * (((T(x,y) \ z) * u) * w) = ((x \ z) * u) * w. [para(14828(a,1),14430(a,1,1)),flip(a)]. 14923 K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). [hyper(227,a,14427,a(flip),b,14871,a)]. 14927 L(x \ R(x,y,z),x,x \ (x * u)) = (x * u) \ (R(x,y,z) * u). [para(14885(a,1),11080(a,2,2))]. 14928 x \ (y * (L(x,z,u) \ x)) = L(x,z,u) \ y. [hyper(72,a,14917,a(flip),b,13459,a(flip)),flip(a)]. 14931 x * (L(y,z,u) \ y) = y * (L(y,z,u) \ x). [para(14928(a,1),14(a,1,2)),flip(a)]. 14933 x * (L(x,y,z) \ u) = u * a(z,y,x). [para(13930(a,2),14931(a,1,2)),flip(a)]. 14934 L(x,y,z) \ (x * u) = u * a(z,y,x). [hyper(2407,a,14933,a)]. 14935 (x \ y) * a(z,u,x) = L(x,u,z) \ y. [hyper(2404,a,14933,a),flip(a)]. 14936 (x \ y) * a(z,u,x) != w | L(x,u,z) \ y = w. [para(14933(a,1),2404(a,1))]. 14941 (x * y) * a(z,u,x) = x * (y * a(z,u,x)). [para(14934(a,1),14933(a,1,2)),flip(a)]. 14942 L(a(x,y,z),u,z) = a(x,y,z). [hyper(10716,a,14941,a)]. 14944 (x * y) * a(z,u,y) = x * (y * a(z,u,y)). [para(14942(a,1),14320(a,1,2,2)),flip(a)]. 14945 (x * a(y,z,u)) * u = x * (a(y,z,u) * u). [para(14942(a,1),14349(a,1,1,2))]. 14946 (x * y) * a(z,u,y) = x * (a(z,u,y) * y). [hyper(227,a,14789,a,b,14944,a)]. 14947 (x * a(y,z,u)) * u = x * L(u,y,z). [para(13914(a,2),14945(a,2,2))]. 14948 (x * a(y,z,u)) * u = x * (z \ (y \ ((y * z) * u))). [para(14330(a,2),14945(a,2,2))]. 14949 (L(x,y,z) \ u) * x = (x \ u) * L(x,z,y). [para(14935(a,1),14947(a,1,1))]. 14950 (x * a(y,z,u)) * u = (x * u) * a(y,z,u). [hyper(227,a,14945,a,b,14946,a),flip(a)]. 14952 ((x \ y) * x) * a(z,u,x) = (L(x,u,z) \ y) * x. [para(14935(a,1),14950(a,1,1)),flip(a)]. 14953 (K(x,y) * z) / u != w | K(x,y) * (z / u) = w. [para(16(a,1),14433(a,1,1,2))]. 14956 (x \ (y / z)) * a(z,y \ 1,x) = (x \ y) / z. [para(14797(a,1),14(a,1,2))]. 14957 L(x,y * (z \ (u \ 1)),w) != v5 | L(x,(u * z) \ y,w) = v5. [para(123(a,1),14809(a,1,2,2))]. 14959 L(x,y,z / u) != w | L(x,y,(u \ 1) * z) = w. [para(14599(a,2),14914(a,1))]. 14961 L(x,y \ 1,z) \ (y / z) = (x \ y) / z. [hyper(14936,a,14956,a)]. 14962 L(L(x,y \ 1,z),u,w) \ (y / z) = (L(x,u,w) \ y) / z. [para(45(a,1),14961(a,1,1))]. 14963 a(x,y,(T(z / u,z) * w) \ v5) = a(x,y,v5 * (w \ (z \ u))). [para(642(a,2),14616(a,1,3,1,1))]. 14964 a(x,y,(T(z \ u,z) * w) \ v5) = a(x,y,v5 * (w \ T(u \ z,z))). [para(985(a,1),14616(a,1,3,1,1))]. 14966 (x * ((y \ z) * y)) \ (x * ((L(y,u,w) \ z) * y)) = L(a(w,u,y),(y \ z) * y,x). [para(14952(a,1),28(a,2,2,2)),flip(a)]. 14967 (x / L(y,z,u)) * y = x * a(u,z,y). [hyper(14883,a,14933,a)]. 14968 (x * y) / L(y,z,u) = x * a(u,z,y). [hyper(18,a,14950,a,b,14967,a)]. 14971 (x / y) * a(z,u,y) = x / L(y,u,z). [hyper(409,a,14968,a),flip(a)]. 14972 (x \ L(x,y,z)) \ (u / x) = u / L(x,y,z). [hyper(227,a,14877,a,b,14971,a(flip)),flip(a)]. 14975 a(x,y,z) \ (u / z) = u / L(z,x,y). [para(13896(a,2),14972(a,1,1))]. 14976 (x * y) \ (x * (z \ (u \ ((u * z) * y)))) = a(u,z,y). [hyper(72,a,14948,a(flip),b,14950,a(flip))]. 14978 (x * y) \ (x * (R(1 / y,z,u) \ 1)) = a(z,u,y). [para(14329(a,1),14976(a,1,2,2))]. 14979 (x * (y * z)) \ ((x * y) * (R(1 / L(z,y,x),u,w) \ 1)) = a(u,w,L(z,y,x)). [para(100(a,1),14978(a,1,1))]. 14981 (K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w). [para(14430(a,1),14819(a,1,1))]. 14982 a(x,y,(((z \ u) \ 1) * w) \ (((z \ 1) \ 1) * w)) = a(x,y,R(u \ 1,(z \ 1) \ 1,w) \ 1). [para(257(a,1),14879(a,1,3,1,1))]. 14983 L(L(x,y,z),u,w) \ (z / y) = (L(x,u,w) \ z) / y. [para(13885(a,1),14962(a,1,1,1))]. 14984 x \ ((L(y,x,z / u) \ z) / u) = (L(y,u,z) * x) \ (z / u). [hyper(72,a,14983,a(flip),b,13987,a(flip))]. 14985 K(x,y) * (((z * u) * w) / (u * w)) = R(K(x,y) * z,u,w). [hyper(14953,a,14981,a)]. 14986 R(K(x,y) * z,u,w) = K(x,y) * R(z,u,w). [para(30(a,2),14985(a,1,2)),flip(a)]. 14987 R(K(x,T(y,z)) * z,u,w) = R(z,u,w) * K(x,y). [hyper(227,a,14701,a(flip),b,14986,a)]. 14992 R(x * K(y,z),u,w) = R(x,u,w) * K(y,z). [para(7515(a,1),14987(a,1,1))]. 14994 R(x * K(y,z),u,w) * v5 = R(x,u,w) * (K(y,z) * v5). [para(14992(a,2),14445(a,1,1))]. 14995 R(x,y,z) * (K(u,w) * (y * z)) = ((x * K(u,w)) * y) * z. [hyper(215,a,14994,a),flip(a)]. 14996 R(x,y,z) * (K(u,w) * (y * z)) = (x * (K(u,w) * y)) * z. [para(14445(a,1),14995(a,2,1))]. 14998 x \ ((L(y,x,z \ u) \ u) / z) = (L(y,z,u) * x) \ (u / z). [para(14599(a,1),14984(a,1,2,1,1))]. 15000 L(x \ R(x,y,z),x,u) = (x * u) \ (R(x,y,z) * u). [para(13(a,1),14927(a,1,3))]. 15001 (x * y) \ (R(x,z,u) * y) = L(a(x,z,u),x,y). [para(13939(a,2),15000(a,1,1)),flip(a)]. 15002 (x * y) \ (R(x,z,u) * y) = a(x,z,u). [hyper(227,a,14046,a(flip),b,15001,a)]. 15006 (x * y) * a(x,z,u) = R(x,z,u) * y. [para(15002(a,1),14(a,1,2))]. 15009 x * (R(x,y,z) \ u) = u / a(x,y,z). [hyper(73,a,14,a(flip),b,15006,a),flip(a)]. 15011 (x / y) * a(K(y,x) / y,z,u) = R(K(y,x) / y,z,u) * x. [para(5312(a,1),15006(a,1,1))]. 15012 x * (R(x,y,z) \ u) = a(x,y,z) \ u. [hyper(227,a,14470,a(flip),b,15009,a)]. 15013 a(x,x \ (y / z),z) \ y = x * ((x \ (y / z)) * z). [para(827(a,1),15012(a,1,2)),flip(a)]. 15014 (x * ((x \ (y / z)) * z)) \ y != u | a(x,x \ (y / z),z) = u. [para(15013(a,1),14794(a,1,1))]. 15015 (x / y) * a(y \ K(y,x),z,u) = R(K(y,x) / y,z,u) * x. [para(14628(a,1),15011(a,1,2))]. 15016 (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [para(14430(a,1),14818(a,1,2))]. 15017 R(x,K(y,z) * u,w) = R(x,u,w). [hyper(18,a,14996,a,b,14824,a)]. 15024 R(x,y / z,u) = R(x,z \ y,u). [para(5020(a,1),15017(a,1,2))]. 15029 R(x,(1 / y) * z,u) = R(x,z / y,u). [para(6461(a,1),15017(a,1,2)),flip(a)]. 15041 R(x,(1 / y) * z,u) = R(x,y \ z,u). [hyper(227,a,15024,a(flip),b,15029,a)]. 15042 R(x,(y * z) \ y,u) = R(x,1 / z,u). [para(335(a,1),15041(a,1,2)),flip(a)]. 15043 R(x,(y * z) \ y,u) = R(x,z \ 1,u). [hyper(227,a,15024,a(flip),b,15042,a)]. 15044 R(x,(y \ z) \ 1,u) = R(x,z \ y,u). [para(14(a,1),15043(a,1,2,1)),flip(a)]. 15045 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [para(14445(a,1),14854(a,1,1))]. 15046 L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). [hyper(1158,a,15016,a)]. 15049 L(x,y,K(z,u) * w) = L(x,y,w). [hyper(14743,a,15046,a)]. 15051 L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5. [para(15046(a,1),14743(a,1)),flip(b)]. 15052 L(x,y,z * K(u,w)) = L(x,y,z). [hyper(14784,a,15049,a)]. 15056 L(x,y,z * T(u,w)) = L(x,y,z * u). [para(5467(a,1),15049(a,1,3))]. 15058 L(x,y,T(z,u) * w) = L(x,y,z * w). [para(5795(a,1),15049(a,1,3))]. 15060 L(x,y,(z / u) * w) = L(x,y,(u \ z) * w). [para(6194(a,1),15049(a,1,3))]. 15061 L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5). [para(10107(a,1),15049(a,1,3)),flip(a)]. 15062 L(x,y,(z * u) \ w) = L(x,y,(u * z) \ w). [para(11057(a,1),15049(a,1,3))]. 15063 L(x,y,(T(z,u) * w) * v5) = L(x,y,(z * w) * v5). [para(14829(a,1),15049(a,1,3))]. 15064 L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). [para(14923(a,1),15049(a,1,3))]. 15066 L(x,y,z / T(u,w)) = L(x,y,z / u). [para(6003(a,1),15052(a,1,3)),flip(a)]. 15068 L(x,y,z \ (u * w)) = L(x,y,z \ (w * u)). [para(9652(a,1),15052(a,1,3))]. 15070 L(x,y,z * T(u,w)) != v5 | L(x,y,u * z) = v5. [para(15056(a,2),14784(a,1))]. 15072 L(x,y,((1 / z) * u) * w) = L(x,y,(u / z) * w). [para(629(a,1),15058(a,1,3,1))]. 15073 L(x,y,(T(z,u) \ 1) * w) = L(x,y,w / z). [hyper(14959,a,15066,a)]. 15076 L(x,y,z / u) != w | L(x,y,u \ z) = w. [para(5020(a,1),15051(a,1,3))]. 15080 L(x,y,(z * u) \ w) != v5 | L(x,y,(u * z) \ w) = v5. [para(11057(a,1),15051(a,1,3))]. 15081 L(x,y,(z * (u \ 1)) * w) != v5 | L(x,y,(u \ z) * w) = v5. [para(14832(a,1),15051(a,1,3))]. 15089 L(x,y,(z \ K(u,w)) * v5) = L(x,y,(z \ 1) * v5). [para(14861(a,1),15061(a,1,3)),flip(a)]. 15090 L(x,y,(z \ T(u,w)) * v5) = L(x,y,(z \ u) * v5). [para(14862(a,1),15061(a,1,3)),flip(a)]. 15091 L(x,y,z / (u * w)) = L(x,y,(w * u) \ z). [hyper(14802,a,15062,a)]. 15092 L(x,y,z \ (u / w)) = L(x,y,z \ (w \ u)). [para(5020(a,1),15064(a,1,3,2))]. 15094 L(x,y,z \ (u * (w \ 1))) = L(x,y,z \ (w \ u)). [para(6399(a,1),15064(a,1,3,2))]. 15095 L(x,y,z \ ((1 / u) * w)) = L(x,y,z \ (w / u)). [para(6461(a,1),15064(a,1,3,2)),flip(a)]. 15096 L(x,y,(T(z,u) * w) \ v5) = L(x,y,(z * w) \ v5). [para(14812(a,1),15064(a,1,3)),flip(a)]. 15097 L(x,y,(z * u) \ ((u * w) * z)) = L(x,y,L(w,u,z)). [para(28(a,2),15068(a,1,3)),flip(a)]. 15098 L(x,y,(z \ (u \ z)) * w) = L(x,y,w / u). [para(655(a,1),15073(a,1,3,1))]. 15099 L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,R(w,u,z)). [para(30(a,2),15091(a,1,3)),flip(a)]. 15100 L(x,y,z \ ((u \ w) \ 1)) = L(x,y,z \ ((1 / w) * u)). [para(313(a,1),15092(a,1,3,2)),flip(a)]. 15101 L(x,y,(z / (u * w)) \ (w \ z)) = L(x,y,R(u,w,z \ 1)). [para(1834(a,1),15092(a,1,3)),flip(a)]. 15102 L(x,y,(z \ (u \ z)) * w) = L(x,y,u \ w). [hyper(227,a,14599,a(flip),b,15098,a)]. 15103 L(x,y,(z \ (u \ z)) * w) != v5 | L(x,y,u \ w) = v5. [para(15098(a,2),15076(a,1))]. 15104 L(x,y,(z / u) \ w) = L(x,y,(z \ u) * w). [para(65(a,1),15102(a,1,3,1,2)),flip(a)]. 15105 L(x,y,(((1 / z) * u) * w) * v5) = L(x,y,((u / z) * w) * v5). [para(629(a,1),15063(a,1,3,1,1))]. 15106 L(x,y,((1 / z) * u) * w) = L(x,y,(z \ u) * w). [hyper(227,a,15060,a(flip),b,15072,a)]. 15107 L(x,y,(z \ K(u,w)) * v5) = L(x,y,z \ v5). [hyper(227,a,12084,a(flip),b,15089,a)]. 15108 L(x,y,(z * (u \ 1)) * w) = L(x,y,(z \ u) \ w). [para(5408(a,1),15107(a,1,3,1))]. 15109 L(x,y,(z \ (u / w)) * v5) = L(x,y,(z \ (w \ u)) * v5). [para(115(a,1),15090(a,1,3,1,2)),flip(a)]. 15110 L(x,y,(z \ ((1 / u) \ w)) * v5) = L(x,y,(z \ (w * u)) * v5). [para(621(a,1),15090(a,1,3,1,2)),flip(a)]. 15111 L(x,y,z \ ((u \ 1) * w)) = L(x,y,z \ (u \ w)). [hyper(227,a,15068,a,b,15094,a(flip)),flip(a)]. 15112 L(x,y,z \ ((1 / u) * w)) = L(x,y,z \ (u \ w)). [hyper(227,a,15092,a(flip),b,15095,a)]. 15113 L(x,y,(z * T(u,w)) \ v5) = L(x,y,(u * z) \ v5). [hyper(227,a,15062,a,b,15096,a(flip)),flip(a)]. 15114 L(x,y,((z \ 1) * u) \ (z \ (u * w))) = L(x,y,L(w,u,z \ 1)). [para(28(a,2),15111(a,1,3)),flip(a)]. 15115 L(x,y,(T(z,u) * w) \ v5) = L(x,y,(w * T(z,v6)) \ v5). [hyper(227,a,15096,a,b,15113,a),flip(a)]. 15119 L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w * (1 / (z * u))) \ ((1 / u) * w)). [para(335(a,1),15097(a,1,3,2,1)),flip(a)]. 15120 L(x,y,(z * u) \ ((w * u) * z)) = L(x,y,L(w,u,z)). [para(13889(a,1),15099(a,2,3))]. 15121 L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). [hyper(227,a,15099,a(flip),b,15120,a(flip)),flip(a)]. 15122 L(x,y,L(z,u,w \ 1)) = L(x,y,L(z,w,u)). [para(13879(a,1),15121(a,1,3))]. 15123 L(x,y,L(z,u \ 1,w)) = L(x,y,L(z,w,u)). [para(13902(a,1),15121(a,1,3))]. 15124 L(x,y,z \ ((u \ w) \ 1)) = L(x,y,z \ (w \ u)). [hyper(227,a,15112,a(flip),b,15100,a)]. 15125 L(x,y,(((1 / z) * u) * w) \ v5) = L(x,y,(w * T(u / z,v6)) \ v5). [para(629(a,1),15115(a,1,3,1,1))]. 15126 L(x,y,(z \ u) \ w) = L(x,y,(u \ z) * w). [hyper(15081,a,15108,a),flip(a)]. 15127 L(x,y,((z * u) \ z) * w) = L(x,y,u \ w). [para(13(a,1),15126(a,1,3,1)),flip(a)]. 15128 L(x,y,L(z \ 1,z,u) * w) = L(x,y,z \ w). [para(156(a,2),15127(a,1,3,1))]. 15129 L(x,y,(z \ (u * w)) * (w \ z)) = L(x,y,R(u,w,z \ 1)). [hyper(227,a,15104,a(flip),b,15101,a(flip)),flip(a)]. 15130 L(x,y,(z \ (u * w)) * (w \ z)) = L(x,y,L(u,w,z \ 1)). [hyper(227,a,15121,a(flip),b,15129,a)]. 15131 L(x,y,z \ (u * (w * z))) = L(x,y,((u / z) * w) * z). [para(904(a,1),15105(a,1,3))]. 15132 L(x,y,z * ((u * z) \ ((1 / w) \ 1))) = L(x,y,(u \ (z * w)) * (z \ 1)). [para(1771(a,1),15110(a,1,3))]. 15133 L(x,y,(z * T(u / w,v5)) \ v6) = L(x,y,(z \ (u \ w)) * v6). [hyper(227,a,12087,a(flip),b,15125,a(flip))]. 15134 L(x,y,(z * (u / w)) \ v5) = L(x,y,(z \ (u \ w)) * v5). [para(112(a,1),15133(a,1,3,1,2))]. 15135 L(x,y,(z * (u \ w)) \ v5) = L(x,y,(z \ (w \ u)) * v5). [para(115(a,1),15133(a,1,3,1,2))]. 15136 L(x,y,((z \ u) * w) \ v5) = L(x,y,(w \ (u \ z)) * v5). [hyper(15080,a,15135,a)]. 15137 L(x,y,(z \ (1 \ u)) * (u \ (z * w))) = L(x,y,L(w,z,u \ 1)). [hyper(227,a,15114,a(flip),b,15136,a(flip))]. 15138 L(x,y,(z \ u) * (u \ (z * w))) = L(x,y,L(w,z,u \ 1)). [para(50(a,1),15137(a,1,3,1,2))]. 15139 L(x,y,(z \ (u * w)) * (u \ z)) = L(x,y,L(w,u,z \ 1)). [hyper(14784,a,15138,a)]. 15140 L(x,y,z \ (u \ ((u * z) * w))) = L(x,y,L(w,u * z,u \ 1)). [hyper(227,a,15127,a(flip),b,15138,a(flip)),flip(a)]. 15141 L(x,y,L(z,u,((u * z) * w) \ 1)) = L(x,y,w \ (u \ ((u * z) * w))). [hyper(227,a,15127,a(flip),b,15139,a(flip))]. 15142 L(x,y,L(z,u / z,w \ 1)) = L(x,y,(w \ u) * ((u / z) \ w)). [para(16(a,1),15139(a,1,3,1,2)),flip(a)]. 15143 L(x,y,((z * u) \ (u * w)) * T(z,u)) = L(x,y,L(w,u,(z * u) \ 1)). [para(32(a,2),15139(a,1,3,2))]. 15144 L(x,y,L(z,u * w,u \ 1)) = L(x,y,z * a(u,w,z)). [para(14328(a,1),15140(a,1,3)),flip(a)]. 15145 L(L(x,y,K(z,u)),K(z,u) * y,w) = L(x,y,w * K(z,u)). [hyper(1158,a,15045,a)]. 15146 L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). [para(14394(a,1),15145(a,1,1))]. 15148 L(x,K(y,z) * u,w) = L(x,u,w). [hyper(227,a,15052,a(flip),b,15146,a)]. 15152 L(x,y * K(z,u),w) = L(x,y,w). [hyper(13758,a,15148,a)]. 15159 L(x,(y \ z) * y,u) = L(x,z,u). [para(4942(a,1),15148(a,1,2))]. 15160 L(x,y * z,u) = L(x,z * y,u). [para(4948(a,1),15148(a,1,2))]. 15161 L(x,y * T(z,u),w) = L(x,y * z,w). [para(5467(a,1),15148(a,1,2))]. 15162 L(x,T(y,z) \ u,w) = L(x,y \ u,w). [para(5788(a,1),15148(a,1,2)),flip(a)]. 15163 L(x,(y / z) \ u,w) = L(x,(z \ y) \ u,w). [para(5807(a,1),15148(a,1,2))]. 15164 L(x,(y / z) * u,w) = L(x,(z \ y) * u,w). [para(6194(a,1),15148(a,1,2))]. 15175 L(x,y * (z * K(u,w)),v5) = L(x,y * z,v5). [para(11369(a,1),15152(a,1,2))]. 15177 L(x,(y \ 1) * z,u) = L(x,y \ z,u). [hyper(14809,a,15160,a),flip(a)]. 15179 L(x,y * ((1 / z) \ u),w) = L(x,y * (u * z),w). [para(621(a,1),15161(a,1,2,2)),flip(a)]. 15180 L(x,(y \ 1) \ z,u) = L(x,z * y,u). [para(788(a,1),15161(a,1,2))]. 15182 L(x,((1 / y) * z) \ u,w) = L(x,(z / y) \ u,w). [para(629(a,1),15162(a,1,2,1))]. 15184 L(x,y * ((1 / z) * u),w) = L(x,(u \ z) \ y,w). [para(250(a,1),15180(a,1,2,1)),flip(a)]. 15185 L(x,(1 / y) * z,u) = L(x,y \ z,u). [hyper(227,a,15177,a(flip),b,15164,a)]. 15186 L(x,(y / z) * (u \ 1),w) = L(x,u \ (z \ y),w). [hyper(227,a,14646,a(flip),b,15164,a)]. 15188 L(x,y * (z \ T(u,w)),v5) = L(x,y * (z \ u),v5). [para(2420(a,1),15175(a,1,2,2))]. 15189 L(x,(y * (1 / z)) \ u,w) = L(x,u * ((y \ 1) * z),w). [hyper(14957,a,15179,a)]. 15190 L(x,((1 / y) * z) \ u,w) = L(x,(y \ z) \ u,w). [hyper(227,a,15163,a(flip),b,15182,a)]. 15191 L(x,(y \ z) \ u,w) = L(x,u * (z \ y),w). [hyper(227,a,14648,a(flip),b,15190,a(flip))]. 15192 L(x,(y \ z) \ u,w) = L(x,(z \ y) * u,w). [hyper(227,a,15160,a,b,15191,a)]. 15193 L(x,(T(y,z) * (1 / z)) \ u,w) = L(x,u * (y \ T(z,z \ 1)),w). [para(1555(a,1),15191(a,1,2,1))]. 15195 L(x,y * ((1 / z) * u),w) = L(x,(z \ u) * y,w). [hyper(227,a,15184,a,b,15192,a(flip)),flip(a)]. 15196 L(x,((y \ 1) \ z) * u,w) = L(x,u * (y * z),w). [para(62(a,1),15195(a,1,2,2,1)),flip(a)]. 15197 L(x,y * ((z \ 1) \ u),w) = L(x,y * (z * u),w). [hyper(227,a,15160,a,b,15196,a(flip)),flip(a)]. 15198 L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * ((T(z,u) \ 1) * u),w). [hyper(227,a,15189,a(flip),b,15193,a(flip))]. 15199 L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * T((z \ 1) * u,u),w). [para(1569(a,2),15198(a,2,2,2))]. 15200 L(x,y * (z \ T(u,u \ 1)),w) = L(x,y * ((z \ 1) * u),w). [hyper(227,a,15161,a(flip),b,15199,a)]. 15202 L(x,y * ((z \ 1) * u),w) = L(x,y * (z \ u),w). [hyper(227,a,15188,a(flip),b,15200,a(flip))]. 15204 L(x,y,L(z,u,w \ ((u * z) \ 1))) = L(x,y,w \ (u \ ((u * z) * w))). [para(123(a,1),15141(a,1,3,3))]. 15205 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,(z * u) \ 1)). [hyper(15070,a,15143,a)]. 15206 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,u \ (z \ 1))). [para(123(a,1),15205(a,2,3,3))]. 15207 L(x,y,((z * u) \ (u * w)) * z) = L(x,y,L(w,u,u \ (z \ 1))). [hyper(14784,a,15206,a)]. 15208 L(x,y,L(z,u,u \ (w \ 1))) != v5 | L(x,y,w * ((w * u) \ (u * z))) = v5. [para(15207(a,1),14784(a,1))]. 15209 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,w \ (u \ ((u * z) * w))). [para(123(a,1),15204(a,1,3,3,2))]. 15210 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,w \ ((1 / u) * ((u * z) * w))). [hyper(227,a,15112,a,b,15209,a)]. 15211 L(x,y,(z \ (u * w)) * (u \ 1)) = L(x,y,u * ((z * u) \ w)). [para(65(a,1),15132(a,1,3,2,2)),flip(a)]. 15212 L(x,y,z \ (u \ (z * w))) = L(x,y,z * ((u * z) \ w)). [hyper(14804,a,15211,a)]. 15213 (x * (y * (K(z,u) * w))) \ ((x * y) * (K(z,u) * w)) = a(x,y * K(z,u),w). [para(14864(a,1),14855(a,1,2))]. 15214 (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x * K(y,z),u,w). [para(14445(a,1),14856(a,1,2,1))]. 15215 L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w * (1 / (z * u))) \ (u \ w)). [hyper(227,a,15112,a(flip),b,15119,a)]. 15216 L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w \ (1 \ (z * u))) * (u \ w)). [hyper(227,a,15134,a(flip),b,15215,a)]. 15217 L(x,y,L(z,1 / (z * u),w)) = L(x,y,(w \ (z * u)) * (u \ w)). [para(50(a,1),15216(a,2,3,1,2))]. 15218 L(x,y,L(z,1 / (z * u),w)) = L(x,y,L(z,u,w \ 1)). [hyper(227,a,15130,a(flip),b,15217,a)]. 15219 L(x,y,L(z,(z * u) \ 1,w)) = L(x,y,L(z,u,w \ 1)). [para(10691(a,1),15218(a,1,3))]. 15220 L(x,y,L(z,z \ u,w \ 1)) = L(x,y,L(z,u \ 1,w)). [para(14(a,1),15219(a,1,3,2,1)),flip(a)]. 15221 L(x,y,L(z,u \ (z \ 1),w)) = L(x,y,L(z,u,w \ 1)). [para(123(a,1),15219(a,1,3,2))]. 15222 L(x,y,L(z,u \ 1,w \ 1)) = L(x,y,L(z,z \ u,w)). [para(4581(a,1),15220(a,1,3)),flip(a)]. 15223 L(x,y,L(z,u / z,w \ 1)) = L(x,y,L(z,u \ 1,w)). [para(9802(a,2),15220(a,1,3))]. 15224 L(x,y,L(z,z \ u,w)) = L(x,y,L(z,w,u \ 1)). [hyper(227,a,15122,a(flip),b,15222,a(flip))]. 15225 L(x,y,L(z,z \ (u \ 1),w)) = L(x,y,L(z,u,w \ 1)). [para(10689(a,1),15222(a,1,3)),flip(a)]. 15226 L(x,y,L(z,z \ u,w)) = L(x,y,L(z,u,w)). [hyper(227,a,15122,a(flip),b,15224,a)]. 15227 L(x,y,(z \ u) * ((u / w) \ z)) = L(x,y,L(w,u \ 1,z)). [hyper(227,a,15142,a(flip),b,15223,a(flip)),flip(a)]. 15228 L(x,y,L(z,z \ (u \ (w \ 1)),v5)) = L(x,y,L(z,w * u,v5 \ 1)). [para(123(a,1),15225(a,1,3,2,2))]. 15229 L(x,y,(z \ (z / u)) * (z \ ((z * w) * u))) = L(x,y,L(w,(z / u) \ 1,z)). [para(1883(a,1),15227(a,1,3,2))]. 15230 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,(((1 / u) / w) * (u * z)) * w). [hyper(227,a,15131,a(flip),b,15210,a)]. 15231 a(x,y * K(z,u),w) = a(x,y,K(z,u) * w). [hyper(825,a,15213,a),flip(a)]. 15232 a(x,K(y,z) * u,K(z,y) * w) = a(x,T(u,K(z,y)),w). [para(5130(a,1),15231(a,1,2)),flip(a)]. 15234 L(x,y,(z \ (u \ z)) * (z \ ((z * w) * u))) = L(x,y,L(w,(z / u) \ 1,z)). [hyper(227,a,15109,a(flip),b,15229,a(flip)),flip(a)]. 15235 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,((1 / (w * u)) * (u * z)) * w). [para(325(a,1),15230(a,2,3,1,1))]. 15236 L(x,y,z \ (u \ ((u * w) * z))) = L(x,y,L(w,(u / z) \ 1,u)). [hyper(15103,a,15234,a)]. 15238 L(x,y,z \ (u \ ((u * w) * z))) = L(x,y,L(w,u \ z,u)). [para(14649(a,1),15236(a,2,3))]. 15239 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,L(z,u \ w,u)). [hyper(227,a,15209,a,b,15238,a(flip)),flip(a)]. 15240 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,((w * u) \ (u * z)) * w). [hyper(227,a,15106,a(flip),b,15235,a)]. 15241 L(x,y,L(z,u,w \ (z \ (u \ 1)))) = L(x,y,L(z,u,u \ (w \ 1))). [hyper(227,a,15207,a(flip),b,15240,a)]. 15242 L(x,y,L(z,u,u \ (w \ 1))) = L(x,y,L(z,u \ w,u)). [hyper(227,a,15239,a(flip),b,15241,a(flip))]. 15243 L(x,y,L(z,u \ (w \ v5),u)) = L(x,y,L(z,u,u \ (v5 \ w))). [para(15124(a,1),15242(a,1,3)),flip(a)]. 15244 L(x,y,L(z,u \ w,u)) != v5 | L(x,y,w * ((w * u) \ (u * z))) = v5. [para(15242(a,1),15208(a,1))]. 15245 L(x,y,L(z,(1 / u) * (w \ v5),u)) = L(x,y,L(z,u,u \ (v5 \ w))). [para(15185(a,2),15243(a,1,3))]. 15246 L(x,y,L(z,(1 / u) * (w \ 1),u)) = L(x,y,L(z,u,u \ w)). [para(50(a,1),15245(a,2,3,3,2))]. 15247 L(x,y,L(z,u \ (w \ 1),w)) = L(x,y,L(z,w,w \ u)). [para(15186(a,1),15246(a,1,3))]. 15248 L(x,y,L(z,(u \ ((w \ 1) \ 1)) \ (z \ 1),w)) = L(x,y,L(z,w \ 1,(w \ 1) \ u)). [hyper(227,a,15221,a,b,15247,a(flip)),flip(a)]. 15249 (x * (y * z)) \ ((x * y) * R(L(z,y,x),u,w)) = a(u,w,L(z,y,x)). [para(13832(a,1),14979(a,1,2,2))]. 15250 (x * (y * z)) \ (x * (y * R(z,u,w))) = a(u,w,L(z,y,x)). [para(469(a,1),15249(a,1,2))]. 15251 (x * (y * z)) \ (x * (y * L(z,u,w))) = a(u,w,L(z,y,x)). [para(13889(a,1),15250(a,1,2,2,2))]. 15252 (x * ((y \ z) * y)) \ (x * ((L(y,u,w) \ z) * y)) = L(a(w,u,y),z,x). [hyper(227,a,15159,a(flip),b,14966,a)]. 15254 (x * ((y \ z) * y)) \ (x * ((y \ z) * L(y,u,w))) = L(a(u,w,y),z,x). [para(14949(a,1),15252(a,1,2,2))]. 15255 a(x,y,L(z,z \ u,w)) = L(a(x,y,z),u,w). [hyper(227,a,15251,a(flip),b,15254,a(flip)),flip(a)]. 15256 a(x * K(y,z),u,w) != v5 | a(x,K(y,z) * u,w) = v5. [para(15214(a,1),14825(a,1))]. 15257 L(x,y,L(z,(z \ 1) * (((u \ 1) \ 1) \ w),u)) = L(x,y,L(z,u \ 1,(u \ 1) \ w)). [para(15191(a,1),15248(a,1,3))]. 15258 L(x,y,L(z,(z \ 1) * ((u \ 1) * w),u)) = L(x,y,L(z,u \ 1,(u \ 1) \ w)). [para(15197(a,1),15257(a,1,3))]. 15259 L(x,y,L(z,u \ 1,(u \ 1) \ w)) = L(x,y,L(z,(z \ 1) * (u \ w),u)). [para(15202(a,1),15258(a,1,3)),flip(a)]. 15260 L(x,y,L(z,u \ 1,(u \ 1) \ w)) = L(x,y,L(z,z \ (u \ w),u)). [para(15177(a,1),15259(a,2,3))]. 15261 L(x,y,L(z,u \ 1,u * w)) = L(x,y,L(z,z \ (u \ w),u)). [para(12082(a,1),15260(a,1,3))]. 15262 L(x,y,L(z,u \ 1,u * (w \ 1))) = L(x,y,L(z,w * u,u \ 1)). [hyper(227,a,15228,a(flip),b,15261,a)]. 15263 L(x,y,L(z,z \ (u \ w),u)) = L(x,y,L(z,u * w,u)). [hyper(227,a,15123,a(flip),b,15261,a(flip))]. 15264 L(x,y,L(z,u \ w,u)) = L(x,y,L(z,u * w,u)). [hyper(227,a,15226,a(flip),b,15263,a(flip)),flip(a)]. 15265 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u * z,u)). [hyper(15244,a,15264,a)]. 15267 L(x,y,L(z,u \ 1,w \ u)) = L(x,y,L(z,w * u,u \ 1)). [para(14601(a,1),15262(a,1,3))]. 15268 L(x,y,L(z,u * w,w \ 1)) = L(x,y,L(z,u \ w,w)). [hyper(227,a,15123,a(flip),b,15267,a(flip))]. 15269 L(x,y,L(z,u \ w,w)) = L(x,y,L(z,w,u * w)). [hyper(227,a,15122,a(flip),b,15268,a(flip))]. 15270 L(x,y,L(z,u * w,u \ 1)) = L(x,y,L(z,w \ u,u)). [para(15160(a,1),15268(a,1,3))]. 15271 L(x,y,L(z,u,(w \ u) * u)) = L(x,y,L(z,w,u)). [para(14643(a,1),15269(a,1,3)),flip(a)]. 15272 L(x,y,L(z,u * w,u)) = L(x,y,L(z,u,w \ u)). [para(950(a,1),15271(a,1,3,3)),flip(a)]. 15273 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,u,z \ u)). [hyper(227,a,15265,a,b,15272,a(flip)),flip(a)]. 15274 L(x,y,L(z,u \ w,w)) = L(x,y,z * a(w,u,z)). [hyper(227,a,15144,a(flip),b,15270,a(flip))]. 15275 L(x,y,L(z,u,w * u)) = L(x,y,z * a(u,w,z)). [hyper(227,a,15269,a(flip),b,15274,a(flip)),flip(a)]. 15276 L(x,y,L(z,u,w * u)) = L(x,y,L(z,u,w)). [para(13894(a,2),15275(a,2,3))]. 15277 L(x,y,L(z,u,w \ u)) = L(x,y,L(z,w,u)). [hyper(227,a,15271,a(flip),b,15276,a(flip))]. 15278 L(x,y,z * ((z * u) \ (u * w))) = L(x,y,L(w,z,u)). [hyper(227,a,15277,a(flip),b,15273,a)]. 15280 L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = ((x \ z) * (u * w)) \ (((x \ z) * u) * w). [para(14922(a,1),14921(a,2,2))]. 15282 L(a(T(x,y) \ z,u,w),(T(x,y) \ z) * (u * w),K(x,y)) = a(x \ z,u,w). [hyper(227,a,24,a,b,15280,a)]. 15285 a(T(x,y) \ z,u,w) = a(x \ z,u,w). [hyper(14743,a,15282,a),flip(a)]. 15286 a(x \ (y * T(x,z)),u,w) = a(T(y,T(x,z)),u,w). [para(32(a,2),15285(a,1,1)),flip(a)]. 15287 a(x \ (y * T(x,z)),u,w) = a(y,u,w). [hyper(227,a,14579,a(flip),b,15286,a)]. 15289 a(T(x * K(y,z),y),u,w) = a(x,u,w). [para(6009(a,1),15287(a,1,1))]. 15290 a(x * K(y,z),u,w) = a(x,u,w). [hyper(14889,a,15289,a)]. 15291 a(x,K(y,z) * u,w) = a(x,u,w). [hyper(15256,a,15290,a)]. 15294 a(x \ K(y,z),u,w) = a(x \ 1,u,w). [para(5105(a,1),15290(a,1,1)),flip(a)]. 15296 a(T(x,y),z,u) = a(x,K(w,v5) * z,u). [hyper(14889,a,15291,a),flip(a)]. 15298 a(x,T(y,K(z,u)),w) = a(x,y,K(z,u) * w). [hyper(227,a,15232,a(flip),b,15291,a(flip)),flip(a)]. 15304 a(x,((y \ z) \ z) * u,w) = a(x,y * u,w). [para(5825(a,1),15291(a,1,2))]. 15305 R(K(x,y) / x,z,u) * y = (y / x) * a(x \ 1,z,u). [para(15294(a,1),15015(a,1,2)),flip(a)]. 15310 a(x,K(y,z) * u,w) != v5 | a(x,u,w) = v5. [para(15296(a,1),14889(a,1))]. 15311 a(x,T(y,z),u) != w | a(x,y,u) = w. [para(2201(a,2),15310(a,1,2))]. 15313 a(x,y / z,u) != w | a(x,z \ y,u) = w. [para(5020(a,1),15310(a,1,2))]. 15329 a(x,y,K(z,u) * w) = a(x,y,w). [hyper(15311,a,15298,a),flip(a)]. 15331 a(x,y,K(z,u) * w) != v5 | a(x,y,w) = v5. [para(15298(a,1),15311(a,1))]. 15335 a(x,y,T(z,u) \ w) = a(x,y,z \ w). [para(5788(a,1),15329(a,1,3)),flip(a)]. 15336 a(x,y,z * K(u,w)) = a(x,y,z). [para(6065(a,1),15329(a,1,3))]. 15337 a(x,y,z \ T(u,w)) = a(x,y,z \ u). [para(6718(a,1),15329(a,1,3)),flip(a)]. 15338 a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). [para(14923(a,1),15329(a,1,3))]. 15339 a(x,y,z * (u * w)) = a(x,y,z * (w * u)). [para(7792(a,1),15336(a,1,3))]. 15340 a(x,y,z * (u * K(w,v5))) = a(x,y,z * u). [para(11369(a,1),15336(a,1,3))]. 15341 a(x,y,((1 / z) * u) \ w) = a(x,y,(u / z) \ w). [para(629(a,1),15335(a,1,3,1))]. 15342 a(x,y,z \ (u / w)) = a(x,y,z \ (w \ u)). [para(115(a,1),15337(a,1,3,2)),flip(a)]. 15343 a(x,y,z \ ((1 / u) \ w)) = a(x,y,z \ (w * u)). [para(621(a,1),15337(a,1,3,2)),flip(a)]. 15344 a(x,y,z \ (u / (u * (1 / w)))) = a(x,y,z \ w). [para(1658(a,1),15337(a,1,3,2))]. 15345 a(x,y,z * u) != w | a(x,y,u * z) = w. [para(4948(a,1),15331(a,1,3))]. 15346 a(x,y,(z \ u) \ u) != w | a(x,y,z) = w. [para(5055(a,2),15331(a,1,3))]. 15348 a(x,y,T(z,u) \ w) != v5 | a(x,y,z \ w) = v5. [para(6421(a,1),15331(a,1,3))]. 15349 a(x,y,(z * u) \ w) != v5 | a(x,y,(u * z) \ w) = v5. [para(11057(a,1),15331(a,1,3))]. 15350 a(x,y,(z * (u \ 1)) * w) != v5 | a(x,y,(u \ z) * w) = v5. [para(14832(a,1),15331(a,1,3))]. 15352 a(x,y,((z \ u) * w) \ (u * w)) != v5 | a(x,y,R(z,z \ u,w)) = v5. [para(491(a,1),15346(a,1,3,1))]. 15354 a(x,(y \ 1) \ z,u) = a(x,y * z,u). [hyper(13454,a,15304,a)]. 15355 a(x,y * ((y \ 1) * z),u) = a(x,z,u). [para(13(a,1),15354(a,1,2)),flip(a)]. 15356 a(x,(y * z) \ y,u) = a(x,z \ 1,u). [para(1345(a,1),15355(a,1,2))]. 15357 a(x,L(y \ 1,y,z),u) = a(x,y \ 1,u). [para(156(a,2),15356(a,1,2))]. 15359 x \ (a(x,y \ 1,(x * L(y \ 1,y,z)) \ u) \ u) = L(y \ 1,z,y) * ((x * L(y \ 1,y,z)) \ u). [para(15357(a,1),12980(a,1,2,1))]. 15360 a(x,y,z \ ((u / w) * v5)) = a(x,y,z \ ((w \ u) * v5)). [para(6194(a,1),15338(a,1,3,2))]. 15361 a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5). [para(14812(a,1),15338(a,1,3)),flip(a)]. 15362 a(x,y,(z * u) * w) = a(x,y,w * (u * z)). [hyper(15345,a,15339,a)]. 15363 a(x,y,z * (u \ T(w,v5))) = a(x,y,z * (u \ w)). [para(2420(a,1),15340(a,1,3,2))]. 15369 a(x,y,((1 / z) \ u) \ w) != v5 | a(x,y,(u * z) \ w) = v5. [para(1209(a,1),15348(a,1,3,1))]. 15370 a(x,y,(z / u) \ w) = a(x,y,w * (z \ u)). [hyper(227,a,14616,a(flip),b,15341,a(flip))]. 15371 a(x,y,((1 / z) / u) \ w) = a(x,y,w * (1 \ (u * z))). [para(325(a,2),15370(a,1,3,1))]. 15372 a(x,y,((1 / z) \ (u / w)) \ (u * z)) = a(x,y,R(w,u \ 1,1 / z)). [para(9115(a,1),15343(a,1,3)),flip(a)]. 15373 a(x,y,z \ ((u * (1 / w)) \ u)) = a(x,y,z \ w). [hyper(227,a,15342,a(flip),b,15344,a(flip)),flip(a)]. 15374 a(x,y,((z / u) * w) \ v5) = a(x,y,v5 * (w \ (z \ u))). [hyper(227,a,14963,a(flip),b,15361,a(flip))]. 15375 a(x,y,(T(z \ u,z) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). [hyper(227,a,14964,a,b,15363,a(flip)),flip(a)]. 15376 a(x,y,z \ ((u \ 1) \ w)) = a(x,y,z \ (u * w)). [para(1352(a,1),15373(a,1,3,2))]. 15377 a(x,y,z \ ((1 / u) * w)) = a(x,y,z \ (u \ w)). [para(65(a,1),15376(a,1,3,2,1)),flip(a)]. 15378 R(K(x,y) / x,z,u) * y = a(z,u,x) \ (y / x). [hyper(227,a,14875,a(flip),b,15305,a)]. 15380 L(K(x,y) / x,z,u) * y = a(z,u,x) \ (y / x). [para(13889(a,1),15378(a,1,1))]. 15381 L(K(x,y) / x,z,u) * y = y / L(x,z,u). [hyper(227,a,14975,a(flip),b,15380,a)]. 15382 a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (u \ w)). [hyper(227,a,15377,a(flip),b,15360,a(flip))]. 15383 a(x,y,(((z \ u) \ 1) * w) \ ((z \ 1) \ w)) = a(x,y,R(u \ 1,(z \ 1) \ 1,w) \ 1). [hyper(227,a,14982,a(flip),b,15382,a(flip))]. 15384 a(x,y,((1 / z) / u) \ w) = a(x,y,w * (u * z)). [para(50(a,1),15371(a,2,3,2))]. 15385 a(x,y,z * ((1 / u) \ w)) = a(x,y,z * (w * u)). [hyper(227,a,15370,a(flip),b,15384,a(flip)),flip(a)]. 15386 a(x,y,(z * (1 / u)) \ w) = a(x,y,w * ((z \ 1) * u)). [hyper(227,a,14618,a(flip),b,15385,a(flip)),flip(a)]. 15388 a(x,1 / y,z * ((x \ 1) * y)) = (x * ((x \ (z / y)) * y)) \ z. [hyper(227,a,2605,a(flip),b,15386,a(flip))]. 15389 a(x,y,z * ((u \ 1) * w)) != v5 | a(x,y,(u \ w) * z) = v5. [para(15362(a,1),15350(a,1))]. 15391 a(x,y,((z \ u) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). [hyper(227,a,15361,a(flip),b,15375,a(flip)),flip(a)]. 15392 a(x,y,(z * (u \ w)) \ v5) = a(x,y,v5 * (z \ (w \ u))). [hyper(15349,a,15391,a)]. 15394 a(x,y,(z * L(u \ 1,u,w)) \ v5) = a(x,y,v5 * (z \ (w \ (w * u)))). [para(156(a,2),15392(a,1,3,1,2))]. 15395 a(x,y \ 1,z * ((x \ 1) * y)) = (x * ((x \ (z / y)) * y)) \ z. [hyper(15313,a,15388,a)]. 15396 (x * ((x \ (y / z)) * z)) \ y = a(x,z \ 1,(x \ z) * y). [hyper(15389,a,15395,a),flip(a)]. 15397 a(x,y \ 1,(x \ y) * z) = a(x,x \ (z / y),y). [hyper(15014,a,15396,a),flip(a)]. 15398 a(x,y \ 1,z * (x \ y)) = a(x,x \ (z / y),y). [hyper(15345,a,15397,a)]. 15399 a(x,y,(z * u) * (u \ (z \ w))) != v5 | a(x,y,R(w,w \ z,u)) = v5. [para(15391(a,1),15352(a,1))]. 15400 a(x,y,((1 / z) \ (u / w)) \ (u * z)) = a(x,y,R(w,u \ 1,z \ 1)). [para(9095(a,1),15372(a,2,3))]. 15401 a(x,y,(z * L(u \ 1,u,w)) \ v5) = a(x,y,v5 * (z \ u)). [para(13(a,1),15394(a,2,3,2,2))]. 15402 a(x,y,((z / u) * w) \ (z * w)) = a(x,y,R(u,z \ 1,w \ 1)). [hyper(15369,a,15400,a)]. 15403 a(x,y,(z * u) * (u \ (z \ w))) = a(x,y,R(w,z \ 1,u \ 1)). [hyper(227,a,15374,a(flip),b,15402,a(flip)),flip(a)]. 15404 a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,R(z,z \ u,w)). [hyper(15399,a,15403,a),flip(a)]. 15405 a(x,y,R(z,u \ w,v5 \ 1)) = a(x,y,R(z,z \ (w \ u),v5)). [para(15044(a,1),15404(a,1,3))]. 15406 a(x,y,R(z,z \ (u \ w),v5)) = a(x,y,L(z,w \ u,v5 \ 1)). [para(13889(a,1),15405(a,1,3)),flip(a)]. 15407 a(x,y,L(z,u \ w,v5 \ 1)) = a(x,y,L(z,z \ (w \ u),v5)). [para(13889(a,1),15406(a,1,3)),flip(a)]. 15408 a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z,z \ u,w)). [para(50(a,1),15407(a,2,3,2,2))]. 15409 a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(((u \ z) \ 1) * w) \ (u * w)). [hyper(227,a,15376,a(flip),b,15383,a(flip))]. 15410 a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(u * w) * (w \ (1 \ (u \ z)))). [hyper(227,a,15391,a(flip),b,15409,a)]. 15411 a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,(u * w) * (w \ (u \ z))). [para(50(a,1),15410(a,2,3,2,2))]. 15412 a(x,y,R(z \ 1,(u \ 1) \ 1,w) \ 1) = a(x,y,R(z,u \ 1,w \ 1)). [hyper(227,a,15403,a(flip),b,15411,a)]. 15413 a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,R(z \ 1,u,w) \ 1). [para(10772(a,1),15412(a,1,3,1)),flip(a)]. 15415 a(x,y,R(z,u \ 1,w \ 1)) = a(x,y,L(z \ 1,u,w) \ 1). [para(13889(a,1),15413(a,2,3,1))]. 15416 a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z \ 1,u,w) \ 1). [para(13889(a,1),15415(a,1,3))]. 15417 a(x,y,L(z,u \ 1,w \ 1)) = a(x,y,L(z,u,w)). [hyper(227,a,14798,a(flip),b,15416,a)]. 15418 a(x,y,L(z,z \ u,w)) = a(x,y,L(z,u,w)). [hyper(227,a,15408,a(flip),b,15417,a(flip)),flip(a)]. 15419 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [hyper(227,a,15255,a(flip),b,15418,a(flip))]. 15420 a(x,L(y,z,u),w) = L(a(w,x,y),z,u). [hyper(13950,a,15419,a)]. 15421 a(x,y,L(z,x,u)) = a(x,y,z). [hyper(227,a,14046,a(flip),b,15419,a)]. 15422 a(x,y,L(z,u,w)) = L(a(z,x,y),u,w). [para(13925(a,1),15419(a,2,1))]. 15424 a(x,y,z) * L(z,x,u) = L(L(z,x,u),x,y). [para(15421(a,1),13914(a,2,1)),flip(a)]. 15425 a(x,L(y,z,u),w) = a(x,y,L(w,z,u)). [hyper(227,a,15420,a,b,15422,a),flip(a)]. 15426 a(x,y,L(z,u,w)) * x = L(x,L(y,u,w),z). [para(15425(a,1),13928(a,2,1)),flip(a)]. 15427 a(x,y,z) * L(y,z,u) = L(L(y,z,u),z,x). [para(13925(a,2),15424(a,1,1))]. 15428 L(x,L(y,z,u),w) = L(x,y,L(w,z,u)). [hyper(13935,a,15426,a),flip(a)]. 15429 L(x,L(y,z,u),w) != v5 | L(x,y,L(w,z,u)) = v5. [para(15426(a,1),13935(a,1))]. 15431 L(x,y,L(z * u,z,u)) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). [para(15428(a,1),13989(a,1,1))]. 15432 x \ (y \ (x * (T(y,x) * z))) = a(x,z,y) * L(z,y,x). [hyper(227,a,14334,a,b,15427,a),flip(a)]. 15433 L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,z * ((w * z) \ (T(w,z) * u))). [para(15432(a,1),15212(a,1,3))]. 15434 L(x,y,z * u) * ((y * z) * u) = (x * L(y,z,u)) * (z * u). [para(11098(a,1),15431(a,1,1,3))]. 15435 (L(x,y,L(z \ 1,z,u) * w) * ((y * L(z \ 1,z,u)) * w)) / (L(z \ 1,u,z) * w) = x * L(y,L(z \ 1,z,u),w). [hyper(73,a,15434,a,b,11099,a)]. 15436 L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,z * ((z * w) \ (w * u))). [para(11092(a,1),15433(a,2,3,2))]. 15437 L(x,y,a(z,u,w) * L(u,w,z)) = L(x,y,L(u,z,w)). [hyper(227,a,15278,a(flip),b,15436,a)]. 15438 L(x,y,L(L(z,u,w),u,w)) = L(x,y,L(z,w,u)). [para(15427(a,1),15437(a,1,3))]. 15440 x \ (a(x,y \ 1,z * (x \ y)) \ z) = L(y \ 1,u,y) * ((x * L(y \ 1,y,u)) \ z). [para(15401(a,1),15359(a,1,2,1))]. 15441 x \ (a(x,x \ (y / z),z) \ y) = L(z \ 1,u,z) * ((x * L(z \ 1,z,u)) \ y). [para(15398(a,1),15440(a,1,2,1))]. 15443 x \ (x * ((x \ (y / z)) * z)) = L(z \ 1,u,z) * ((x * L(z \ 1,z,u)) \ y). [para(15013(a,1),15441(a,1,2))]. 15444 L(x \ 1,y,x) * ((z * L(x \ 1,x,y)) \ u) = (z \ (u / x)) * x. [hyper(282,a,15443,a)]. 15446 (L(x,y,z \ u) * ((y * L(z \ 1,z,w)) * u)) / (L(z \ 1,w,z) * u) = x * L(y,L(z \ 1,z,w),u). [para(15128(a,1),15435(a,1,1,1))]. 15447 x / (L(y \ 1,z,y) * ((u * L(y \ 1,y,z)) \ (L(w,u,y \ x) \ x))) = w * L(u,L(y \ 1,y,z),x). [hyper(2572,a,15446,a)]. 15449 x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,L(u \ 1,u,w),x). [para(15444(a,1),15447(a,1,2))]. 15450 x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,x,L(u,u,w)). [para(13906(a,1),15449(a,2,2))]. 15452 x / ((y \ ((L(z,y,u \ x) \ x) / u)) * u) = z * L(y,x,u). [para(354(a,1),15450(a,2,2,3))]. 15453 x / (((L(y,z,x) * u) \ (x / z)) * z) = y * L(u,x,z). [para(14998(a,1),15452(a,1,2,1))]. 15454 L(L(x,y,z) * u,z,y) = x * L(u,z,y). [hyper(13996,a,15453,a)]. 15455 L(x,y,z) * L(u,y,z) = L(x * u,y,z). [para(14321(a,1),15454(a,1,1,1)),flip(a)]. 15456 L((K(x,L(y,z,u)) / x) * y,z,u) = L(y,z,u) / L(x,z,u). [hyper(227,a,15381,a(flip),b,15455,a(flip))]. 15461 L((L(x,y,z) * u) * w,z,y) = (x * L(u,z,y)) * L(w,z,y). [para(15454(a,1),15455(a,1,1)),flip(a)]. 15462 L((K(x,y) / x) * y,z,u) = L(y,z,u) / L(x,z,u). [para(14489(a,1),15456(a,1,1,1,1))]. 15463 L(x,y,z) / L(u,y,z) = L(x / u,y,z). [para(5312(a,1),15462(a,1,1)),flip(a)]. 15465 L((L(x,y,z) * u) * w,z,y) / (L(u,z,y) * L(w,z,y)) = L(x,L(u,z,y),L(w,z,y)). [hyper(73,a,15461,a,b,13898,a)]. 15466 L((L(x,y,z) * u) * w,z,y) / L(u * w,z,y) = L(x,L(u,z,y),L(w,z,y)). [para(15455(a,1),15465(a,1,2))]. 15467 L(((L(x,y,z) * u) * w) / (u * w),z,y) = L(x,L(u,z,y),L(w,z,y)). [hyper(227,a,15463,a(flip),b,15466,a(flip)),flip(a)]. 15468 L(x / (y * ((L(z,u,w) * y) \ x)),w,u) = L(z,L(y,w,u),L(x,w,u)). [para(1182(a,1),15467(a,1,1))]. 15469 L(L(L(x,y,z),u,w),z,y) = L(x,L(u,z,y),L(w,z,y)). [para(13895(a,2),15468(a,1,1))]. 15470 L(x,L(y,z,u),L(w,z,u)) = L(x,y,w). [hyper(227,a,14326,a(flip),b,15469,a(flip))]. 15471 L(x,y,L(L(z,u,w),u,w)) = L(x,y,z). [hyper(15429,a,15470,a)]. 15473 L(x,y,L(z,u,w)) = L(x,y,z). [hyper(227,a,15438,a(flip),b,15471,a(flip)),flip(a)]. 15477 L(x,y,L(L(z,u,w),v5,v6)) = L(x,y,z). [hyper(227,a,15473,a(flip),b,15473,a)]. 15482 L(x,L(y,z,u),w) = L(x,y,L(w,v5,v6)). [hyper(227,a,15470,a(flip),b,15477,a(flip))]. 15484 L(x,L(y,z,u),w) = a(x,y,L(w,v5,v6)) * x. [hyper(227,a,13928,a(flip),b,15482,a)]. 15487 a(x,L(y,z,u),w) = a(x,y,L(w,v5,v6)). [hyper(13945,a,15484,a)]. 15494 a(x,y,L(z,u,w)) = a(x,y,z). [para(354(a,1),15487(a,1,2)),flip(a)]. 15496 L(a(x,y,z),u,w) = a(x,y,z). [hyper(227,a,15419,a(flip),b,15494,a(flip)),flip(a)]. 15509 a(a(x,y,z),u,w) = 1. [hyper(71,a,15496,a(flip),b,13924,a(flip)),flip(a)]. 15510 $F # answer("aa1"). [resolve(15509,a,49,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=13740. Generated=284702639. Kept=15491. proofs=1. Usable=13740. Sos=1739. Demods=0. Limbo=10, Disabled=32. Hints=19617. Kept_by_rule=0, Deleted_by_rule=284191393. Forward_subsumed=495755. Back_subsumed=1. Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0. New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0. Demod_attempts=0. Demod_rewrites=0. Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. Nonunit_fsub_feature_tests=147585. Nonunit_bsub_feature_tests=486. Megabytes=62.34. User_CPU=2442.62, System_CPU=138.47, Wall_clock=2583. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 17039 exit (max_proofs) ------  Process 17039 exit (max_proofs) Tue Jul 14 15:38:09 2020